* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 138 additional inputs, on iter 1 have 118 / 256 * * * * [misc]points: Computing exacts on every 8 of 138 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 138 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 138 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 138 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 81 additional inputs, on iter 2 have 175 / 256 * * * * [misc]points: Computing exacts on every 5 of 81 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 81 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 81 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 3 have 223 / 256 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 4 have 234 / 256 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 5 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))): 0 * [misc]none: Best fresh alt per point * [misc]none: (-1.4613178491821498e+48 -7.970124387059626e+165): 0 * [misc]none: (-5.620995728346324e+245 -1.24265645193626e+281): 0 * [misc]none: (-1.0091775766099388e-178 -1.6913183888362534e+156): 0 * [misc]none: (2.0980661301565718e-60 1.9558316322795932e+229): 0 * [misc]none: (1.0024360019170988e-151 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(1.2391428993123195e-53 3.206221419912265e+51): 0 * [misc]none: (-9.565609472547322e-124 -7.966969819213301e-111): 0 * [misc]none: (-2.0310019187041234e+101 3.221198963762039e+166): 0 * [misc]none: (-1.7127652241866663e-27 1.1525212824649757e+173): 0 * [misc]none: (-1.947707196703237e+130 -1.2654394089404018e+152): 0 * [misc]none: (-1.9108430739228874e-168 2.5954317092090663e+188): 0 * [misc]none: (5.976566162781828e-262 4.0522267480412145e+189): 0 * [misc]none: (-1.142257873712315e-49 -2.488397426951592e+85): 0 * [misc]none: (-7.706007717334245e-133 -3.852230944737251e+125): 0 * [misc]none: (-1.917715355857765e-213 -1.2153695779764702e-107): 0 * [misc]none: (-5.6718708555151934e-182 -6.791163764654487e+57): 0 * [misc]none: (3.561052370274286e+222 -1.9803302250630132e+229): 0 * [misc]none: (-1.2602406432951942e+242 1.3132191418449429e+272): 0 * [misc]none: (1.417395857982962e+112 -9.484486393474689e+224): 0 * [misc]none: (1.2926844442603449e-272 6.777020097920311e+216): 0 * [misc]none: (1.9700593229138827e-50 -2.9685688564746695e+259): 0 * [misc]none: (-7.343076758450515e-245 -2.1621255712627967e+96): 0 * [misc]none: (976625461889127.8 -3.730183968226007e+95): 0 * [misc]none: (1.6501972239963874e-258 -1.9062985237621918e-44): 0 * [misc]none: (-9.695048812228804e-33 4.3191412376834275e+249): 0 * [misc]none: (1.4932339006735016e+157 3.1812804254524387e+233): 0 * [misc]none: (-5.546827771104374e+87 -3.1207763882486933e+109): 0 * [misc]none: (-1.367452993894295e-129 6.343584508561789e+87): 0 * [misc]none: (3.7476721237841876e-281 4.811543151950025e-33): 0 * [misc]none: (-9.85118113779452e-207 -1.3584511753805632e+240): 0 * [misc]none: (1.7265727720717877e-65 -2.2076426027359137e+164): 0 * [misc]none: (6.525431496731668e-64 1.0982823072397984e+136): 0 * [misc]none: (2.704077310435608e-253 3.1639399211332326e+205): 0 * [misc]none: (-3.302434769770763e+39 5.765366200121622e+260): 0 * [misc]none: (-8.2157022007629e-58 -7.731583384630845e+52): 0 * [misc]none: (4.296582624822391e-200 1.733700273392293e+77): 0 * [misc]none: (6.683383915725252e-271 1.830961252259433e-59): 0 * [misc]none: (4.068667347744151e-179 8.630725328355339e+266): 0 * [misc]none: (-5.100815418059268e-90 6.487293944891719e+78): 0 * [misc]none: (6.009493492582987e-296 -1.157925061166081e-58): 0 * [misc]none: (-5.689324367802329e-246 -3.807287600161903e+145): 0 * [misc]none: (1.1909630224861144e-308 -3.036973607447883e+181): 0 * [misc]none: (9.212199844523645e-229 -1.2461956087023843e-38): 0 * [misc]none: (1.2300916721937489e+185 5.9776582784273185e+256): 0 * [misc]none: (1.4369290385678577e-161 -4.620016485271843e+275): 0 * [misc]none: (-1.8419406107088546e-16 -9.544921276384073e+204): 0 * [misc]none: (2.116370076668309e-191 -6.052115395011814e+79): 0 * [misc]none: (-1.1883563404969162e-50 -2.3731320528329528e+163): 0 * [misc]none: (-6.903597812238514e-236 -2.3192639332694516e+265): 0 * [misc]none: (7.640371856720311e+193 -4.2800304431808546e+195): 0 * [misc]none: (3.438873899519122e+171 1.8186504690640068e+223): 0 * [misc]none: (5.515506992492392e-277 2.595646488837273e-219): 0 * [misc]none: (-1.0403226659956264e-12 5.476456469319565e+77): 0 * [misc]none: (-1.6206847274577324e+56 9.915398041121362e+277): 0 * [misc]none: (3.108236652528406e-297 7.181266914182018e-165): 0 * [misc]none: (7.707611608802171e+62 1.152518328416828e+180): 0 * [misc]none: (7.595028648060239e-286 -1.7004214918492403e-195): 0 * [misc]none: (4.5690448860660455e-67 1.2792918576789026e+83): 0 * [misc]none: (3.934156464498665e-121 1.9851718582837827e+233): 0 * [misc]none: (9.235262766535639e+122 -1.5161407061059675e+185): 0 * [misc]none: (-2.030003858554109e-299 3.5865707327746786e+87): 0 * [misc]none: (2797.2682494851097 5.51985688247549e+99): 0 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 0 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 0 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 0 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 0 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 0 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 0 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 0 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 0 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 0 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 0 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 0 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 0 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 0 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 0 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 0 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: Picked alt (λ (g h) (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 1) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in h * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3))) in g * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) in h * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 1) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) into (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI))) into (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]taylor: Taking taylor expansion of (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) in h * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) (* 2/3 PI)) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * [misc]approximate: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in h * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (/ (* 2 PI) 3) (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3)) in g * [misc]taylor: Taking taylor expansion of (/ (* 2 PI) 3) in g * [misc]taylor: Taking taylor expansion of (* 2 PI) in g * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (/ (* 2 PI) 3) into (* 2/3 PI) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ h g))))) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of (* 2/3 PI) in h * [misc]taylor: Taking taylor expansion of 2/3 in h * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 2/3 PI) into (* 2/3 PI) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) into (+ (* 1/3 (acos (* -1 (/ h g)))) (* 2/3 PI)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 2/3 PI) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) (* 2/3 PI)) into (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in h * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- g) h)) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- g) h)) in g * [misc]backup-simplify: Simplify (acos (/ (- g) h)) into (acos (* -1 (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ g h))) 3) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ g h)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ g h))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ g h))) into (acos (* -1 (/ g h))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ g h))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ g h)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ g h)))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 g)) (/ 1 h))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 g)) (/ 1 h))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 g)) (/ 1 h))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 h) (/ 1 g))))) into (* 1/3 (acos (* -1 (/ g h)))) * [misc]approximate: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in h * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in h * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (/ (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) 3) in g * [misc]taylor: Taking taylor expansion of (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) in g * [misc]backup-simplify: Simplify (acos (/ (- (/ 1 (- g))) (/ 1 (- h)))) into (acos (* -1 (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (/ (acos (* -1 (/ h g))) 3) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]taylor: Taking taylor expansion of (* 1/3 (acos (* -1 (/ h g)))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (acos (* -1 (/ h g))) in h * [misc]backup-simplify: Simplify (acos (* -1 (/ h g))) into (acos (* -1 (/ h g))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ h g)))) into (* 1/3 (acos (* -1 (/ h g)))) * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (acos (* -1 (/ h g))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (acos (* -1 (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 3) (+ (* (* 1/3 (acos (* -1 (/ h g)))) (/ 0 3)) (* 0 (/ 0 3)) (* 0 (/ 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (acos (* -1 (/ (/ 1 (- h)) (/ 1 (- g)))))) into (* 1/3 (acos (* -1 (/ g h)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* 2 (- PI)) * [exit]simplify: Simplified to (* 2 (- PI)) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (cos (/ (acos (- (/ g h))) 3)) (cos (/ 2 (/ 3 PI)))) * [enter]simplify: Simplifying (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * [exit]simplify: Simplified to (* (sin (/ (acos (- (/ g h))) 3)) (sin (/ 2 (/ 3 PI)))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cos (+ (* PI (/ 2 3)) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * [exit]simplify: Simplified to (* (cos (+ (* PI (/ 2 3)) (/ (/ PI 2) 3))) (cos (/ (asin (/ (- g) h)) 3))) * [enter]simplify: Simplifying (* (sin (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sin (+ (* PI (/ 2 3)) (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3))) * [exit]simplify: Simplified to (* (sin (+ (* PI (/ 2 3)) (/ (/ PI 2) 3))) (sin (/ (asin (/ (- g) h)) 3))) * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (+ (/ (* 2 PI) 3) (/ PI 3))) (cos (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) * [exit]simplify: Simplified to (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) * [enter]simplify: Simplifying (* (sin (+ (/ (* 2 PI) 3) (/ PI 3))) (sin (/ (acos (/ g h)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))) * [exit]simplify: Simplified to (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (log (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (log (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (exp (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (exp (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))))) * [exit]simplify: Simplified to (* (cbrt (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3)))) (cbrt (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))))) * [enter]simplify: Simplifying (cbrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (cbrt (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3) * [exit]simplify: Simplified to (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (sqrt (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [enter]simplify: Simplifying (sqrt (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (sqrt (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ (* 2 PI) 3)) (exp (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (exp (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (log (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (exp (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) (cbrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) (cbrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * [enter]simplify: Simplifying (cbrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (cbrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (pow (+ (* (/ PI 3) 2) (/ (acos (- (/ g h))) 3)) 3) * [exit]simplify: Simplified to (pow (+ (* (/ PI 3) 2) (/ (acos (- (/ g h))) 3)) 3) * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (sqrt (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (sqrt (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3))) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 2 PI) 3) (* 3 (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (+ (* PI 2) (acos (- (/ g h)))) 3) * [exit]simplify: Simplified to (* (+ (* PI 2) (acos (- (/ g h)))) 3) * [enter]simplify: Simplifying (* 3 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 3 3) * [exit]simplify: Simplified to (* 3 3) * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ (* 2 PI) 3) 3) (pow (/ (acos (/ (- g) h)) 3) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (+ (pow (/ (acos (- (/ g h))) 3) 3) (pow (* PI (/ 2 3)) 3)) * [exit]simplify: Simplified to (+ (pow (/ (acos (- (/ g h))) 3) 3) (pow (* PI (/ 2 3)) 3)) * [enter]simplify: Simplifying (+ (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (- (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (* (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (- (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (* (/ (* PI 2) (* 3 3)) (- (acos (- (/ g h))) (* PI 2)))) * [exit]simplify: Simplified to (- (* (/ (acos (- (/ g h))) 3) (/ (acos (- (/ g h))) 3)) (* (/ (* PI 2) (* 3 3)) (- (acos (- (/ g h))) (* PI 2)))) * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (+ (* (/ 2 3) PI) (/ (acos (- (/ g h))) 3)) (- (* (/ 2 3) PI) (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (* (+ (* (/ 2 3) PI) (/ (acos (- (/ g h))) 3)) (- (* (/ 2 3) PI) (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (- (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* (/ PI 3) 2) (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (- (* (/ PI 3) 2) (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (* 2 (/ PI 3)) (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (+ (* 2 (/ PI 3)) (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 PI) (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (acos (- (/ g h))) (* PI 2)) * [exit]simplify: Simplified to (+ (acos (- (/ g h))) (* PI 2)) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ (/ PI 2) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 3) 2) (/ PI (* 3 2))) * [exit]simplify: Simplified to (+ (* (/ PI 3) 2) (/ PI (* 3 2))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* 2 PI) 3) (/ PI 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * [exit]simplify: Simplified to (* (+ 2 1) (/ PI 3)) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (/ (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (log (/ (acos (- (/ g h))) 3)) * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (exp (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (acos (/ (- g) h)) 3)) (cbrt (/ (acos (/ (- g) h)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (acos (- (/ g h))) 3)) (cbrt (/ (acos (- (/ g h))) 3))) * [exit]simplify: Simplified to (* (cbrt (/ (acos (- (/ g h))) 3)) (cbrt (/ (acos (- (/ g h))) 3))) * [enter]simplify: Simplifying (cbrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (cbrt (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (acos (/ (- g) h)) 3) (/ (acos (/ (- g) h)) 3)) (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (pow (/ (acos (- (/ g h))) 3) 3) * [exit]simplify: Simplified to (pow (/ (acos (- (/ g h))) 3) 3) * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [enter]simplify: Simplifying (sqrt (/ (acos (/ (- g) h)) 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * [exit]simplify: Simplified to (sqrt (/ (acos (/ (- g) h)) 3)) * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (- (acos (- (/ g h)))) * [exit]simplify: Simplified to (- (acos (- (/ g h)))) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 2) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ PI (* 3 2)) * [exit]simplify: Simplified to (/ PI (* 3 2)) * [enter]simplify: Simplifying (/ (asin (/ (- g) h)) 3) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (asin (- (/ g h))) 3) * [exit]simplify: Simplified to (/ (asin (- (/ g h))) 3) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 3) * [exit]simplify: Simplified to (/ PI 3) * [enter]simplify: Simplifying (/ (acos (/ g h)) 3) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * [exit]simplify: Simplified to (/ (acos (/ g h)) 3) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (cbrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ 3 (cbrt (acos (- (/ g h))))) * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (sqrt (acos (/ (- g) h)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (- (/ g h))))) * [exit]simplify: Simplified to (/ 3 (sqrt (acos (- (/ g h))))) * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (acos (/ (- g) h))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * [exit]simplify: Simplified to (/ 3 (acos (- (/ g h)))) * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* 2 (cos (+ (/ 2 (/ 3 PI)) (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (* 2/3 PI) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (acos (/ (- g) h)) 1/3) (* PI 2/3))) 2) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (/ 2 3) PI) (* (acos (- (/ g h))) 1/3))) 2) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (/ 2 3) PI) (* (acos (- (/ g h))) 1/3))) 2) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (+ (/ (* 2 PI) 3) (* 1/3 (acos (* -1 (/ g h))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cos (+ (* (/ 2 3) PI) (* (acos (- (/ g h))) 1/3))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 4 * [misc]none: All alts: 4 * [misc]none: Fresh alt: (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3))))))) * [misc]none: Fresh alt: (λ (g h) (* 2 (cbrt (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3)))) * [misc]none: Fresh alt: (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * [misc]none: Fresh alt: (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3))))))): 0 * [misc]none: (λ (g h) (* 2 (cbrt (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3)))): 1 * [misc]none: (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))): 2 * [misc]none: (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))): 3 * [misc]none: Best fresh alt per point * [misc]none: (-1.4613178491821498e+48 -7.970124387059626e+165): 0 * [misc]none: (-5.620995728346324e+245 -1.24265645193626e+281): 0 * [misc]none: (-1.0091775766099388e-178 -1.6913183888362534e+156): 0 * [misc]none: (2.0980661301565718e-60 1.9558316322795932e+229): 0 * [misc]none: (1.0024360019170988e-151 7.5175772698725994e+230): 0 * [misc]none: (-5.321402604291141e-06 -1.7733690550394132e+98): 0 * [misc]none: (-1.1637673099206726e-272 -8.35758297731061e+77): 0 * [misc]none: (1.1255669962589905e-76 -9.128123815075865e-09): 0 * [misc]none: (-2.243309344068225e-140 -9.539967283881324e+305): 0 * [misc]none: (-2.2027298968537837e-301 1.0197345638114325e+113): 0 * [misc]none: (2.8579099320203695e+150 -3.002887087879423e+307): 0 * [misc]none: (6.9283794454946695e-220 -1.0132277496103539e+77): 0 * [misc]none: (1.0102328277471194e+97 -1.7403911646490318e+249): 0 * [misc]none: (3.891498638245715e-204 1.8093455138130522e+133): 0 * [misc]none: (-6.1072399922665735e-260 -2.0256790562623767e+94): 0 * [misc]none: (3.7593562727881465e-144 -3.457479218913416e+261): 0 * [misc]none: (-1.444316295907566e-201 -2.0542571692182826e-193): 0 * [misc]none: (1.3773590471941116e-85 -4.998598194099127e-37): 0 * [misc]none: (5.932902354540652e-124 2.9604954362664366e+289): 0 * [misc]none: (-4.5555744857608054e-150 -7.021051713853907e+56): 0 * [misc]none: (7.015751827940853e-06 -1.840471874045199e+266): 0 * [misc]none: (-3.7807595998787116e-103 2.4422167474251047e+117): 0 * [misc]none: (3.0539888630764254e-239 9.953908495433605e+227): 0 * [misc]none: (1.2682140778650343e-160 -4.8086378710692526e-123): 0 * [misc]none: (-5.3667368363124686e-223 -7.732531658549481e-90): 0 * [misc]none: (5.5950620368202944e-145 4.107096789321886e+47): 0 * [misc]none: (3.861824393614253e-238 -3.6326382049313233e+58): 0 * [misc]none: (-1.9352275685415172e+62 -8.319340874654567e+164): 0 * [misc]none: (-5.317144085175552e+125 -7.756759675647158e+217): 0 * [misc]none: (-3.405579003242326e-77 -2.4174801762107655e+221): 0 * [misc]none: (-3.970294702437927e-277 5.291003268559521e-138): 0 * [misc]none: (-1.9585533035631207e-216 -3.4161681568779905e-199): 0 * [misc]none: (5.9450634194072535e+26 -1.0075111324118578e+295): 0 * [misc]none: (3.348006630378271e-280 -1.293650191169553e+284): 0 * [misc]none: (-1.5541474165804123e-45 -2.2525968286946985e+39): 0 * [misc]none: (-2.3752138709141314e-91 2.7326123766509496e+153): 0 * [misc]none: (-1.3946444478700448e-33 -1.3624479131733183e+284): 0 * [misc]none: (1.792713711527259e+108 -2.0909162154022853e+291): 0 * [misc]none: (1.1189646373235805e-58 -2.3763275407984077e+244): 0 * [misc]none: (-7.812324264707587e+128 -1.442658670561393e+270): 0 * [misc]none: (-1.7440919816958607e+40 -1.9855149221517548e+286): 0 * [misc]none: (4.4868661851147195e-129 4.732835307271031e+241): 0 * [misc]none: (-2.5010155626380806e-194 4.84237766535478e+106): 0 * [misc]none: (-4.903029609203949e+25 -2.683080070125043e+204): 0 * [misc]none: (-6.213450292013747e-115 6.188566363105265e+171): 0 * [misc]none: (-6.970687352500486e-111 4.439364681376646e+36): 0 * [misc]none: (1.1395251390361844e-140 -2.7688528833865963e+196): 0 * [misc]none: (2.4110148371685504e-195 3.4901782791628877e+267): 0 * [misc]none: (-4.507827524732244 6.792716981857185e+91): 0 * [misc]none: (9.254023538292273e-258 2.617971147092364e-76): 0 * [misc]none: (-3.4376442877901274e-30 2.913785555885868e+226): 0 * [misc]none: (2.931668337478436e+126 1.4018724764197611e+160): 0 * [misc]none: (1.5886707158046732e-145 -2.675680145428183e-56): 0 * [misc]none: (-8.289009379633923e+176 -4.816851364663276e+276): 0 * [misc]none: (-7.843144120497279e-296 5.592901786443595e-28): 0 * [misc]none: (6.673139894543714e-272 2.389729719307196e-186): 0 * [misc]none: (-8.229933543983784e-116 1.5951305500453889e-112): 2 * [misc]none: (-6.453106869088464e+153 5.975613009638934e+210): 0 * [misc]none: (-3.0085912798916516e-25 8.167859075613198e+131): 0 * [misc]none: (5.038324220668273e-249 -4.2171243775254307e-110): 0 * [misc]none: (3.34193429381633e-274 6.07560242102484e+85): 0 * [misc]none: (5.316440102938414e-63 24130443289213716.0): 0 * [misc]none: (2.2458933586183572e-118 -4.862160333564217e-52): 0 * [misc]none: (-9.06128305054472e-150 2.0997838804196177e+26): 0 * [misc]none: (-9.225029013787246e-269 -2.0590456606090785e-224): 0 * [misc]none: (1.52221681471073e+30 1.552064650669455e+142): 0 * [misc]none: (5.946958643597572e-214 9.722495709355246e-119): 0 * [misc]none: (-2.066048295861427e-52 2.200267231431202e+270): 0 * [misc]none: (9.612946779766744e-152 -4.13897094961295e+160): 0 * [misc]none: (6.79923859530497e-146 -2.2832745382640519e-38): 0 * [misc]none: (-2.0984791900871228e-191 -6.76242236422981e+188): 0 * [misc]none: 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(-1.2938315808507242e+196 -1.1522295036639537e+302): 0 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 0 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 0 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 0 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 0 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 0 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 0 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 0 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 0 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 0 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 0 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 0 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 0 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: Picked alt (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (log (sin (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (log (sin (* (+ 1 2) (/ PI 3)))) * * * * [misc]progress: [ 3 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (exp (sin (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (exp (sin (* (+ 1 2) (/ PI 3)))) * * * * [misc]progress: [ 4 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (* (+ 2 1) (/ PI 3)))) (cbrt (sin (* (+ 2 1) (/ PI 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ 1 2) (/ 3 PI)))) (cbrt (sin (/ (+ 1 2) (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (sin (/ (+ 1 2) (/ 3 PI)))) (cbrt (sin (/ (+ 1 2) (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (sin (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (cbrt (sin (* (+ 1 2) (/ PI 3)))) * * * * [misc]progress: [ 5 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (* (+ 2 1) (/ PI 3))) (sin (* (+ 2 1) (/ PI 3)))) (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (pow (sin (/ (+ 1 2) (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (sin (/ (+ 1 2) (/ 3 PI))) 3) * * * * [misc]progress: [ 6 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (sqrt (sin (* (+ 1 2) (/ PI 3)))) * [enter]simplify: Simplifying (sqrt (sin (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (sqrt (sin (* (+ 1 2) (/ PI 3)))) * * * * [misc]progress: [ 7 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * * * * [misc]progress: [ 9 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 1 2))) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 1 2))) * * * * [misc]progress: [ 11 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 1 2))) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 1 2))) * * * * [misc]progress: [ 12 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 1 2))) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 1 2))) * * * * [misc]progress: [ 13 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * * * * [misc]progress: [ 14 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ 2 1) (/ PI 3))) (cbrt (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ 1 2) (/ PI 3))) (cbrt (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (* (cbrt (* (+ 1 2) (/ PI 3))) (cbrt (* (+ 1 2) (/ PI 3)))) * [enter]simplify: Simplifying (cbrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 15 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (/ PI 3)) (* (+ 2 1) (/ PI 3))) (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (* (+ 1 2) (/ PI 3)) 3) * [exit]simplify: Simplified to (pow (* (+ 1 2) (/ PI 3)) 3) * * * * [misc]progress: [ 16 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 17 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* (* 2 PI) (* 2 2)) PI) * [exit]simplify: Simplified to (+ (* (* 2 PI) (* 2 2)) PI) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* (* 3 2) 2)) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* (* 3 2) 2)) * * * * [misc]progress: [ 18 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (* (* PI 2) 2) PI) * [exit]simplify: Simplified to (- (* (* PI 2) 2) PI) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [exit]simplify: Simplified to (- (* 3 2) 3) * * * * [misc]progress: [ 19 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 3)) (+ 1 2)) (cbrt (/ PI 3))) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 3)) (+ 1 2)) (cbrt (/ PI 3))) * * * * [misc]progress: [ 21 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (sqrt (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 1 2)) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 1 2)) * * * * [misc]progress: [ 22 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (+ 1 2) * [exit]simplify: Simplified to (+ 1 2) * * * * [misc]progress: [ 23 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (* PI 2) PI) * [exit]simplify: Simplified to (+ (* PI 2) PI) * * * * [misc]progress: [ 24 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 25 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 26 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * * * * [misc]progress: [ 27 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (* PI 2) PI) * [exit]simplify: Simplified to (+ (* PI 2) PI) * * * * [misc]progress: [ 28 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * * * * [misc]progress: [ 29 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (* (- (* 2 2) 1) (/ PI 3)) * [exit]simplify: Simplified to (* (- (* 2 2) 1) (/ PI 3)) * * * * [misc]progress: [ 30 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * * * * [misc]progress: [ 32 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 2 1)) (log (/ PI 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 1 2))) * [exit]simplify: Simplified to (+ (log (/ PI 3)) (log (+ 1 2))) * * * * [misc]progress: [ 34 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 1 2))) * [exit]simplify: Simplified to (log (* (/ PI 3) (+ 1 2))) * * * * [misc]progress: [ 35 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 1 2))) * [exit]simplify: Simplified to (exp (* (/ PI 3) (+ 1 2))) * * * * [misc]progress: [ 36 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (+ 2 1)) (+ 2 1)) (* (* (/ PI 3) (/ PI 3)) (/ PI 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * [exit]simplify: Simplified to (* (pow (/ PI 3) 3) (pow (+ 2 1) 3)) * * * * [misc]progress: [ 37 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ 2 1) (/ PI 3))) (cbrt (* (+ 2 1) (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ 1 2) (/ PI 3))) (cbrt (* (+ 1 2) (/ PI 3)))) * [exit]simplify: Simplified to (* (cbrt (* (+ 1 2) (/ PI 3))) (cbrt (* (+ 1 2) (/ PI 3)))) * [enter]simplify: Simplifying (cbrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (cbrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 38 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 2 1) (/ PI 3)) (* (+ 2 1) (/ PI 3))) (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * [exit]simplify: Simplified to (pow (* (+ 1 2) (/ PI 3)) 3) * [exit]simplify: Simplified to (pow (* (+ 1 2) (/ PI 3)) 3) * * * * [misc]progress: [ 39 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [enter]simplify: Simplifying (sqrt (* (+ 2 1) (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * [exit]simplify: Simplified to (sqrt (* (+ 2 1) (/ PI 3))) * * * * [misc]progress: [ 40 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) PI) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* (* 2 PI) (* 2 2)) PI) * [exit]simplify: Simplified to (+ (* (* 2 PI) (* 2 2)) PI) * [enter]simplify: Simplifying (* (+ (* 2 2) (- (* 1 1) (* 2 1))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* (* 3 2) 2)) * [exit]simplify: Simplified to (+ (- 3 (* 3 2)) (* (* 3 2) 2)) * * * * [misc]progress: [ 41 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (- (* (* PI 2) 2) PI) * [exit]simplify: Simplified to (- (* (* PI 2) 2) PI) * [enter]simplify: Simplifying (* (- 2 1) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (* 3 2) 3) * [exit]simplify: Simplified to (- (* 3 2) 3) * * * * [misc]progress: [ 42 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (* (cbrt (/ PI 3)) (cbrt (/ PI 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 3)) (+ 1 2)) (cbrt (/ PI 3))) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 3)) (+ 1 2)) (cbrt (/ PI 3))) * * * * [misc]progress: [ 44 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (sqrt (/ PI 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 1 2)) * [exit]simplify: Simplified to (* (sqrt (/ PI 3)) (+ 1 2)) * * * * [misc]progress: [ 45 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (+ 1 2) * [exit]simplify: Simplified to (+ 1 2) * * * * [misc]progress: [ 46 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (* PI 2) PI) * [exit]simplify: Simplified to (+ (* PI 2) PI) * * * * [misc]progress: [ 47 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (cbrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 48 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 2 1)) (/ PI 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * [exit]simplify: Simplified to (/ (sqrt (+ 1 2)) (/ 3 PI)) * * * * [misc]progress: [ 49 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) (/ PI 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * [exit]simplify: Simplified to (/ (+ 1 2) (/ 3 PI)) * * * * [misc]progress: [ 50 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 2 1) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (+ (* PI 2) PI) * [exit]simplify: Simplified to (+ (* PI 2) PI) * * * * [misc]progress: [ 51 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 2 3) (pow 1 3)) (/ PI 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * [exit]simplify: Simplified to (+ (* (/ PI 3) (pow 2 3)) (/ PI 3)) * * * * [misc]progress: [ 52 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 2 2) (* 1 1)) (/ PI 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (* (- (* 2 2) 1) (/ PI 3)) * [exit]simplify: Simplified to (* (- (* 2 2) 1) (/ PI 3)) * * * * [misc]progress: [ 53 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ PI 3)) * [exit]simplify: Simplified to (log (/ PI 3)) * * * * [misc]progress: [ 56 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (exp (/ PI 3)) * [exit]simplify: Simplified to (exp (/ PI 3)) * * * * [misc]progress: [ 57 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [exit]simplify: Simplified to (* (cbrt (/ PI 3)) (cbrt (/ PI 3))) * [enter]simplify: Simplifying (cbrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * [exit]simplify: Simplified to (cbrt (/ PI 3)) * * * * [misc]progress: [ 58 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 3) (/ PI 3)) (/ PI 3)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * [exit]simplify: Simplified to (pow (/ PI 3) 3) * * * * [misc]progress: [ 59 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [enter]simplify: Simplifying (sqrt (/ PI 3)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * [exit]simplify: Simplified to (sqrt (/ PI 3)) * * * * [misc]progress: [ 60 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 61 / 75 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 63 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 64 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 65 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 66 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 67 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 68 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 69 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 70 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 71 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 72 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 73 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 74 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * * [misc]progress: [ 75 / 75 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* (+ 1 2) (/ PI 3))) 2) (sin (/ (acos (/ g h)) 3))) (* (cos (/ (acos (/ g h)) 3)) (* (cos (* (+ 1 2) (/ PI 3))) 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 4 * [misc]none: Non-fresh alt: (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3))))))) * [misc]none: Fresh alt: (λ (g h) (* 2 (cbrt (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3)))) * [misc]none: Fresh alt: (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * [misc]none: Fresh alt: (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (g h) (* 2 (cbrt (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3)))): 0 * [misc]none: (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))): 1 * [misc]none: (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))): 2 * [misc]none: Best fresh alt per point * [misc]none: (-1.4613178491821498e+48 -7.970124387059626e+165): 0 * [misc]none: (-5.620995728346324e+245 -1.24265645193626e+281): 0 * [misc]none: 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[misc]none: (1.3773590471941116e-85 -4.998598194099127e-37): 0 * [misc]none: (5.932902354540652e-124 2.9604954362664366e+289): 0 * [misc]none: (-4.5555744857608054e-150 -7.021051713853907e+56): 0 * [misc]none: (7.015751827940853e-06 -1.840471874045199e+266): 0 * [misc]none: (-3.7807595998787116e-103 2.4422167474251047e+117): 0 * [misc]none: (3.0539888630764254e-239 9.953908495433605e+227): 0 * [misc]none: (1.2682140778650343e-160 -4.8086378710692526e-123): 0 * [misc]none: (-5.3667368363124686e-223 -7.732531658549481e-90): 0 * [misc]none: (5.5950620368202944e-145 4.107096789321886e+47): 0 * [misc]none: (3.861824393614253e-238 -3.6326382049313233e+58): 0 * [misc]none: (-1.9352275685415172e+62 -8.319340874654567e+164): 0 * [misc]none: (-5.317144085175552e+125 -7.756759675647158e+217): 0 * [misc]none: (-3.405579003242326e-77 -2.4174801762107655e+221): 0 * [misc]none: (-3.970294702437927e-277 5.291003268559521e-138): 0 * [misc]none: (-1.9585533035631207e-216 -3.4161681568779905e-199): 0 * 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(4.5690448860660455e-67 1.2792918576789026e+83): 0 * [misc]none: (3.934156464498665e-121 1.9851718582837827e+233): 0 * [misc]none: (9.235262766535639e+122 -1.5161407061059675e+185): 0 * [misc]none: (-2.030003858554109e-299 3.5865707327746786e+87): 0 * [misc]none: (2797.2682494851097 5.51985688247549e+99): 0 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 0 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 0 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 0 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 0 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 0 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 0 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 0 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 0 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 0 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 0 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 0 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 0 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 0 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 0 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 0 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: Picked alt (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in h * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in h * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g))))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in h * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in h * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3))) in g * [misc]taylor: Taking taylor expansion of (/ (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) (* 3 3)) in g * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* 3 3) in g * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 3) into 9 * [misc]backup-simplify: Simplify (/ (* 3 (+ (* 2 PI) (acos (- (/ h g))))) 9) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) in h * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 1/3 in h * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 1) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 3)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 9) (+ (* (* 1/3 (+ (* 2 PI) (acos (- (/ h g))))) (/ 0 9)) (* 0 (/ 0 9)) (* 0 (/ 0 9)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/3 (+ (* 2 PI) (acos (- (/ h g)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/3 (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g)))))))) into (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h)))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ g h)))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ g h)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]taylor: Taking taylor expansion of (* 3 (+ (* 2 PI) (acos (- (/ g h))))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 PI) (acos (- (/ g h)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ g h))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ g h)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ g h))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (* 3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g)))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * [misc]approximate: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in h * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) 3) in g * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of 3 in g * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* (+ (* 2 PI) (acos (- (/ h g)))) 3) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]taylor: Taking taylor expansion of (* 3 (+ (* 2 PI) (acos (- (/ h g))))) in h * [misc]taylor: Taking taylor expansion of 3 in h * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ h g))))) into (* 3 (+ (* 2 PI) (acos (- (/ h g))))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (* 0 3)) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (+ (* 2 PI) (acos (- (/ h g)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (* 0 3))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (+ (* 2 PI) (acos (- (/ h g))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 PI) (acos (- (/ h g)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g))))))) into (* 3 (+ (* 2 PI) (acos (- (/ g h))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ g h)))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in g * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ g h)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ g h))) in h * [misc]backup-simplify: Simplify (acos (- (/ g h))) into (acos (- (/ g h))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ g h)))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]approximate: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 g) (/ 1 h))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 g) (/ 1 h)))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 g) (/ 1 h)))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ (/ 1 h) (/ 1 g))))) into (+ (* 2 PI) (acos (- (/ g h)))) * [misc]approximate: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in (g h) around 0 * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in h * [misc]taylor: Taking taylor expansion of (* PI 2) in h * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in h * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]taylor: Taking taylor expansion of (+ (* PI 2) (acos (- (/ (/ 1 (- g)) (/ 1 (- h)))))) in g * [misc]taylor: Taking taylor expansion of (* PI 2) in g * [misc]taylor: Taking taylor expansion of PI in g * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in g * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) in g * [misc]backup-simplify: Simplify (acos (- (/ (/ 1 (- g)) (/ 1 (- h))))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* PI 2) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 PI) (acos (- (/ h g)))) in h * [misc]taylor: Taking taylor expansion of (* 2 PI) in h * [misc]taylor: Taking taylor expansion of 2 in h * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in h * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (acos (- (/ h g))) in h * [misc]backup-simplify: Simplify (acos (- (/ h g))) into (acos (- (/ h g))) * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ h g)))) into (+ (* 2 PI) (acos (- (/ h g)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in h * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 PI) (acos (- (/ (/ 1 (- h)) (/ 1 (- g)))))) into (+ (* 2 PI) (acos (- (/ g h)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * [exit]simplify: Simplified to (log (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * [exit]simplify: Simplified to (exp (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) (cbrt (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) (cbrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) (cbrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3)))) * [enter]simplify: Simplifying (cbrt (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))) (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3)) 3) * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * [enter]simplify: Simplifying (sqrt (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ (* 2 PI) (acos (/ (- g) h))) 3))) * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ (* PI 2) (acos (- (/ g h)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (log (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * [exit]simplify: Simplified to (log (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ (* PI 2) (acos (- (/ g h)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (pow (exp 3) (+ (acos (/ (- g) h)) (* 2 PI))) * [exit]simplify: Simplified to (pow (exp 3) (+ (acos (/ (- g) h)) (* 2 PI))) * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ (* PI 2) (acos (- (/ g h)))) 3)) (cbrt (* (+ (* PI 2) (acos (- (/ g h)))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) (cbrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3))) * [exit]simplify: Simplified to (* (cbrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) (cbrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3))) * [enter]simplify: Simplifying (cbrt (* (+ (* PI 2) (acos (- (/ g h)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * [exit]simplify: Simplified to (cbrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* (+ (* PI 2) (acos (- (/ g h)))) 3)) (* (+ (* PI 2) (acos (- (/ g h)))) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (pow (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) 3) * [exit]simplify: Simplified to (pow (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) 3) * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (* PI 2) (acos (- (/ g h)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * [exit]simplify: Simplified to (sqrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * [enter]simplify: Simplifying (sqrt (* (+ (* PI 2) (acos (- (/ g h)))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * [exit]simplify: Simplified to (sqrt (* (+ (acos (/ (- g) h)) (* 2 PI)) 3)) * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* PI 2) (acos (- (/ g h))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* 3 (cbrt (+ (acos (/ (- g) h)) (* 2 PI)))) * [exit]simplify: Simplified to (* 3 (cbrt (+ (acos (/ (- g) h)) (* 2 PI)))) * * * * [misc]progress: [ 16 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (* PI 2) (acos (- (/ g h))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* 3 (sqrt (+ (acos (/ (- g) h)) (* 2 PI)))) * [exit]simplify: Simplified to (* 3 (sqrt (+ (acos (/ (- g) h)) (* 2 PI)))) * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* PI 2) (acos (- (/ g h)))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) * [exit]simplify: Simplified to (* (+ (acos (/ (- g) h)) (* 2 PI)) 3) * * * * [misc]progress: [ 18 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* PI 2) 3) (pow (acos (- (/ g h))) 3)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (+ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (acos (/ (- g) h)) 3)) (* (* (* 2 PI) 3) (* (* 2 PI) (* 2 PI)))) * [exit]simplify: Simplified to (+ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (acos (/ (- g) h)) 3)) (* (* (* 2 PI) 3) (* (* 2 PI) (* 2 PI)))) * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* PI 2) (* PI 2)) (* (acos (- (/ g h))) (acos (- (/ g h))))) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (* (- (* 2 PI) (acos (- (/ g h)))) (* 3 (+ (acos (- (/ g h))) (* 2 PI)))) * [exit]simplify: Simplified to (* (- (* 2 PI) (acos (- (/ g h)))) (* 3 (+ (acos (- (/ g h))) (* 2 PI)))) * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* PI 2)) (exp (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (exp (+ (acos (- (/ g h))) (+ PI PI))) * [exit]simplify: Simplified to (exp (+ (acos (- (/ g h))) (+ PI PI))) * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (+ (acos (- (/ g h))) (* 2 PI))) * [exit]simplify: Simplified to (log (+ (acos (- (/ g h))) (* 2 PI))) * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (+ (acos (/ (- g) h)) (+ PI PI))) * [exit]simplify: Simplified to (exp (+ (acos (/ (- g) h)) (+ PI PI))) * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* PI 2) (acos (- (/ g h))))) (cbrt (+ (* PI 2) (acos (- (/ g h)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (acos (/ (- g) h)) (* 2 PI))) (cbrt (+ (acos (/ (- g) h)) (* 2 PI)))) * [exit]simplify: Simplified to (* (cbrt (+ (acos (/ (- g) h)) (* 2 PI))) (cbrt (+ (acos (/ (- g) h)) (* 2 PI)))) * [enter]simplify: Simplifying (cbrt (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (acos (- (/ g h))) (* 2 PI))) * [exit]simplify: Simplified to (cbrt (+ (acos (- (/ g h))) (* 2 PI))) * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* PI 2) (acos (- (/ g h)))) (+ (* PI 2) (acos (- (/ g h))))) (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * [exit]simplify: Simplified to (pow (+ (acos (/ (- g) h)) (* 2 PI)) 3) * [exit]simplify: Simplified to (pow (+ (acos (/ (- g) h)) (* 2 PI)) 3) * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (acos (- (/ g h))) (* 2 PI))) * [exit]simplify: Simplified to (sqrt (+ (acos (- (/ g h))) (* 2 PI))) * [enter]simplify: Simplifying (sqrt (+ (* PI 2) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (acos (- (/ g h))) (* 2 PI))) * [exit]simplify: Simplified to (sqrt (+ (acos (- (/ g h))) (* 2 PI))) * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* PI 2) 3) (pow (acos (- (/ g h))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (+ (pow (* 2 PI) 3) (pow (acos (- (/ g h))) 3)) * [exit]simplify: Simplified to (+ (pow (* 2 PI) 3) (pow (acos (- (/ g h))) 3)) * [enter]simplify: Simplifying (+ (* (* PI 2) (* PI 2)) (- (* (acos (- (/ g h))) (acos (- (/ g h)))) (* (* PI 2) (acos (- (/ g h)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (+ (* (acos (/ (- g) h)) (- (acos (/ (- g) h)) (* 2 PI))) (* (* 2 PI) (* 2 PI))) * [exit]simplify: Simplified to (+ (* (acos (/ (- g) h)) (- (acos (/ (- g) h)) (* 2 PI))) (* (* 2 PI) (* 2 PI))) * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* PI 2) (* PI 2)) (* (acos (- (/ g h))) (acos (- (/ g h))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (+ (acos (/ (- g) h)) (* 2 PI)) (- (* 2 PI) (acos (/ (- g) h)))) * [exit]simplify: Simplified to (* (+ (acos (/ (- g) h)) (* 2 PI)) (- (* 2 PI) (acos (/ (- g) h)))) * [enter]simplify: Simplifying (- (* PI 2) (acos (- (/ g h)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (* 2 PI) (acos (/ (- g) h))) * [exit]simplify: Simplified to (- (* 2 PI) (acos (/ (- g) h))) * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI 2) (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (/ PI 2) (* 2 PI)) * [exit]simplify: Simplified to (+ (/ PI 2) (* 2 PI)) * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* PI 2) PI) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ PI (* 2 PI)) * [exit]simplify: Simplified to (+ PI (* 2 PI)) * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (* 2 (cos (* (+ (acos (/ (- g) h)) (* 2 PI)) 1/3))) * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (* 2 (cos (* (+ (acos (/ (- g) h)) (* 2 PI)) 1/3))) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (* 1/3 (+ (* 2 PI) (acos (- (/ g h))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (* 2 (cos (* (+ (acos (/ (- g) h)) (* 2 PI)) 1/3))) * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (acos (/ (- g) h)) (* 2 PI)) 3)) 2) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (acos (/ (- g) h)) (* 2 PI)) 3)) 2) * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (* 3 (+ (* 2 PI) (acos (- (/ g h))))) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (acos (/ (- g) h)) (* 2 PI)) 3)) 2) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (* (+ (* 2 PI) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* PI 2) (acos (/ (- g) h))) 3)) 2) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (* (+ (* 2 PI) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* PI 2) (acos (/ (- g) h))) 3)) 2) * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cos (/ (* (+ (* 2 PI) (acos (- (/ g h)))) 3) (* 3 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (* PI 2) (acos (/ (- g) h))) 3)) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 2 * [misc]none: All alts: 4 * [misc]none: Non-fresh alt: (λ (g h) (* 2 (+ (* (cos (/ (acos (/ g h)) 3)) (cos (* (+ 2 1) (/ PI 3)))) (* (sin (/ (acos (/ g h)) 3)) (sin (* (+ 2 1) (/ PI 3))))))) * [misc]none: Fresh alt: (λ (g h) (* 2 (cbrt (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3)))) * [misc]none: Non-fresh alt: (λ (g h) (* 2 (cos (/ (* (+ (* PI 2) (acos (- (/ g h)))) 3) (* 3 3))))) * [misc]none: Fresh alt: (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (g h) (* 2 (cbrt (pow (cos (+ (/ PI (/ 3 2)) (/ (acos (- (/ g h))) 3))) 3)))): 0 * [misc]none: (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))): 1 * [misc]none: Best fresh alt per point * [misc]none: (-1.4613178491821498e+48 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(-1.1587029546828107e-151 1.818346644833882e+103): 0 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 0 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 0 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 0 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 0 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 0 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 0 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 0 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 0 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 0 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: Picked alt (λ (g h) (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3)))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (cos (/ 2 (/ 3 PI)))) (cbrt (cos (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (* 2 PI) 3)) (cos (/ (* 2 PI) 3))) (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (cos (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (cos (* (/ 2 3) PI))) * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* 2 (- PI)) * [exit]simplify: Simplified to (* 2 (- PI)) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * [exit]simplify: Simplified to (log (/ 2 (/ 3 PI))) * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * [exit]simplify: Simplified to (* (exp (/ PI 3)) (exp (/ PI 3))) * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 PI) 3)) (cbrt (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 3) PI)) (cbrt (* (/ 2 3) PI))) * [enter]simplify: Simplifying (cbrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (cbrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 PI) 3) (/ (* 2 PI) 3)) (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * [exit]simplify: Simplified to (pow (* (/ 2 3) PI) 3) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 PI) 3)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * [exit]simplify: Simplified to (sqrt (* (/ PI 3) 2)) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* 2 (- PI)) * [exit]simplify: Simplified to (* 2 (- PI)) * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 3) * [exit]simplify: Simplified to (- 3) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 3) * [exit]simplify: Simplified to (/ 1 3) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 (* 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * [exit]simplify: Simplified to (/ 3 (* PI 2)) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 3 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 3 PI) * [exit]simplify: Simplified to (/ 3 PI) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (log (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (log (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (exp (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (* 2 PI) 3))) (cbrt (sin (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ 2 (/ 3 PI)))) (cbrt (sin (/ 2 (/ 3 PI))))) * [exit]simplify: Simplified to (* (cbrt (sin (/ 2 (/ 3 PI)))) (cbrt (sin (/ 2 (/ 3 PI))))) * [enter]simplify: Simplifying (cbrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (cbrt (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (/ (* 2 PI) 3)) (sin (/ (* 2 PI) 3))) (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (sin (/ 2 (/ 3 PI))) 3) * [exit]simplify: Simplified to (pow (sin (/ 2 (/ 3 PI))) 3) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [enter]simplify: Simplifying (sqrt (sin (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * [exit]simplify: Simplified to (sqrt (sin (* (/ 2 3) PI))) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* (cos (/ (* 2 PI) 3)) (cos (/ (acos (/ (- g) h)) 3))) (* (sin (/ (* 2 PI) 3)) (sin (/ (acos (/ (- g) h)) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (* (cos (/ (acos (- (/ g h))) 3)) (* (cos (* 2 (/ PI 3))) 2)) (* (* (sin (* 2 (/ PI 3))) 2) (sin (/ (acos (- (/ g h))) 3)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2 (cos (+ (/ (* 2 PI) 3) (/ (acos (/ (- g) h)) 3)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (cbrt (cos (/ (* 2 PI) 3))) (cbrt (cos (/ (* 2 PI) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (* PI 2) 3))) (cbrt (cos (/ (* PI 2) 3)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (* PI 2) 3))) (cbrt (cos (/ (* PI 2) 3)))) * [enter]simplify: Simplifying (cbrt (cos (/ (* 2 PI) 3))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (* PI 2) 3))) * [exit]simplify: Simplified to (cbrt (cos (/ (* PI 2) 3))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3959 additional inputs, on iter 1 have 4041 / 8000 * * * * [misc]points: Computing exacts on every 247 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 123 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 61 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 30 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 3959 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3959 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1933 additional inputs, on iter 2 have 6067 / 8000 * * * * [misc]points: Computing exacts on every 120 of 1933 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 60 of 1933 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 30 of 1933 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 1933 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 1933 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 1933 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1933 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 957 additional inputs, on iter 3 have 7043 / 8000 * * * * [misc]points: Computing exacts on every 59 of 957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 29 of 957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 14 of 957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 957 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 957 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 481 additional inputs, on iter 4 have 7519 / 8000 * * * * [misc]points: Computing exacts on every 30 of 481 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 481 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 481 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 481 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 481 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 208 additional inputs, on iter 5 have 7792 / 8000 * * * * [misc]points: Computing exacts on every 13 of 208 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 208 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 208 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 208 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 108 additional inputs, on iter 6 have 7892 / 8000 * * * * [misc]points: Computing exacts on every 6 of 108 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 108 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 108 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 7 have 7945 / 8000 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 55 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 26 additional inputs, on iter 8 have 7974 / 8000 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 9 have 7986 / 8000 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 10 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs