* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (x eps) (- (sin (+ x eps)) (sin x))) * [misc]none: Fresh alt indexes * [misc]none: (λ (x eps) (- (sin (+ x eps)) (sin x))): 0 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64): 0 * [misc]none: (1.1375933635893308e+160 -6.814866840940998e+135): 0 * [misc]none: (-5.655718042216706e-88 -1.454645223881282e+52): 0 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263): 0 * [misc]none: (3.308825514112168e+294 -2.460746881557577e-120): 0 * [misc]none: (2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152): 0 * [misc]none: (3.9436987604242746e-188 1.2987545615858837e-229): 0 * [misc]none: (4.072041399031216e+135 3.886264623793198e+50): 0 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261): 0 * [misc]none: 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* [misc]none: (3.040239018351611e+113 -1.974683671133818e+111): 0 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 0 * [misc]none: (-1.0101892530174619e+296 -5.733715992923197e+208): 0 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.5144530485773557e+177 3.96896356073862e+48): 0 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 0 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-6.387676171006472e+84 3.0718166030691505e-80): 0 * [misc]none: (-3.665096485975149e+155 2.7947853767132536e+32): 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: (-507178.2418848363 7.835819247789118e-215): 0 * [misc]none: (-1.7331826939437403e-32 1.5041078345043152e-175): 0 * [misc]none: (2.258908512758085e+234 -7.5213132710662e-74): 0 * [misc]none: (-4.1351572114392246e+117 3.0457736919219457e-222): 0 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 0 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 0 * [misc]none: (6.35238923971634e+290 -1.4390028162741748e-46): 0 * [misc]none: (8.124998850854922e-91 2.0152844845402166e-297): 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: (-2.318323686204338e+235 -7.278263595880122e-193): 0 * [misc]none: (1.251913240849315e+217 -2.126351281480013e-88): 0 * [misc]none: (2.371904740187568e+215 4.1993878019740277e-286): 0 * [misc]none: (-7.778058147879301e+138 -1.5613876912499225e+57): 0 * [misc]none: (-2.816411430587057e+286 3.5802854801244576e+55): 0 * [misc]none: (-3.566909098618378e+32 -0.00023602766722364432): 0 * [misc]none: (-2.1146724245698338e+207 -4.006330508771236e-123): 0 * [misc]none: (9.292763926817302e+57 1.3228826725861251e-83): 0 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-1.8288429241916153e+264 6.748137222255588e+45): 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: (-6.996014108998747e+142 1.7737783369503947e+103): 0 * [misc]none: (-26916528204053.027 -2.7349284820526125e-289): 0 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (1.0468500326593331e+288 -4.7463128935226076e+86): 0 * [misc]none: (2.5502245720775025e+302 3.7105227033705403e+214): 0 * [misc]none: (6.470477944325298e+178 1.8862750447266752e-53): 0 * [misc]none: (1310698.3491744497 3.0319757073152243e-73): 0 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (4.4617997614332734e-49 -4.576042298933677e-291): 0 * [misc]none: (8.096247824539422e+292 5.1841759100413795e-161): 0 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (1.003089963055667e+133 -1.9929766413300646e-81): 0 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-3.7057466356555346e+296 -6.871006639197127e+34): 0 * [misc]none: (-3.1711756580365493e+100 -1.9739730389420339e-53): 0 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (-2.036080403524927e+291 -3.7662389909101225e+74): 0 * [misc]none: (-4.164360616471795e-297 1.1330111314315052e-297): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.186918480052641e+154 6.534790094984563e-249): 0 * [misc]none: (2.0761365520526402e+80 -6.136769236604219e-245): 0 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (1.3062346782022677e+257 9.20482191500962e-294): 0 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (9.448180626697868e+306 -6.624186711279531e-158): 0 * [misc]none: (-7.369494770670741e+183 -2.28428829200312e-74): 0 * [misc]none: (-8.192986595596162e+26 6.319063013887454e-198): 0 * [misc]none: (1.207285968110896e+80 4.013577168037153e-101): 0 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (-1.4103125294629063e+264 -3.3795898713138266e-300): 0 * [misc]none: (-8.397564680171817e-171 -5.030258942894069e-286): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (3.8976396927163173e-162 -4.334942407090635e-248): 0 * [misc]none: (1.617089240788084e+57 -5.434332993935807e-16): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 0 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 0 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 0 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 0 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 0 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 0 * [misc]none: Picked alt (λ (x eps) (- (sin (+ x eps)) (sin x))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos eps) -1) into (- (cos eps) 1) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos eps))) 1/6) into (- 1/6 (* 1/6 (cos eps))) * [misc]taylor: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/6 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow eps 2) x)) (+ (* -1/2 (* eps (pow x 2))) (* 1 (* eps 1)))) into (- eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (- (sin (+ eps x)) (sin x)) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ -1 x) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) (sin (/ -1 (/ 1 (- x))))) into (- (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* 1 x) 3)) (+ (* 1 (* eps 1)) (* 1 (* 1 x)))) into (- (+ eps x) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) into (sin (+ eps x)) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) into (sin (+ eps x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sin (+ x eps))) (exp (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 3 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (log (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 5 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 6 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sin (+ eps x)) (sin x))) (cbrt (- (sin (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (- (sin (+ eps x)) (sin x))) (cbrt (- (sin (+ eps x)) (sin x)))) * [enter]simplify: Simplifying (cbrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (cbrt (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 7 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (pow (- (sin (+ eps x)) (sin x)) 3) * [exit]simplify: Simplified to (pow (- (sin (+ eps x)) (sin x)) 3) * * * * [misc]progress: [ 8 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [enter]simplify: Simplifying (sqrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 9 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (* (* (sin x) (sin x)) (- (sin x))) (pow (sin (+ eps x)) 3)) * [exit]simplify: Simplified to (+ (* (* (sin x) (sin x)) (- (sin x))) (pow (sin (+ eps x)) 3)) * [enter]simplify: Simplifying (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (* (sin (+ eps x)) (sin (+ eps x))) (* (+ (sin x) (sin (+ eps x))) (sin x))) * [exit]simplify: Simplified to (+ (* (sin (+ eps x)) (sin (+ eps x))) (* (+ (sin x) (sin (+ eps x))) (sin x))) * * * * [misc]progress: [ 10 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 11 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (* (+ (sin x) (sin (+ eps x))) (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (* (+ (sin x) (sin (+ eps x))) (- (sin (+ eps x)) (sin x))) * [enter]simplify: Simplifying (+ (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (+ (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 13 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * [exit]simplify: Simplified to (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * [enter]simplify: Simplifying (- (sqrt (sin (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * [exit]simplify: Simplified to (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * * * * [misc]progress: [ 14 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 15 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos x) (sin eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * * * * [misc]progress: [ 16 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 17 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * * * * [misc]progress: [ 18 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sin (+ eps x))) * [exit]simplify: Simplified to (log (sin (+ eps x))) * * * * [misc]progress: [ 20 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sin (+ eps x))) * [exit]simplify: Simplified to (exp (sin (+ eps x))) * * * * [misc]progress: [ 21 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (+ eps x))) (cbrt (sin (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (sin (+ eps x))) (cbrt (sin (+ eps x)))) * [enter]simplify: Simplifying (cbrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sin (+ eps x))) * [exit]simplify: Simplified to (cbrt (sin (+ eps x))) * * * * [misc]progress: [ 22 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (sin (+ eps x)) 3) * [exit]simplify: Simplified to (pow (sin (+ eps x)) 3) * * * * [misc]progress: [ 23 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [enter]simplify: Simplifying (sqrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * * * * [misc]progress: [ 24 / 30 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* (pow eps 2) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (- eps (* (* eps (+ eps x)) (* x 1/2))) * * * * [misc]progress: [ 26 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 27 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 28 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ eps x) (* 1/6 (pow x 3))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (- (- (+ x eps) (sin x)) (* (* 1/6 x) (* x x))) * * * * [misc]progress: [ 29 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 30 / 30 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * [misc]none: Fresh alt: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) * [misc]none: Fresh alt indexes * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 0 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))): 1 * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 2 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64): 0 * [misc]none: (1.1375933635893308e+160 -6.814866840940998e+135): 0 * [misc]none: (-5.655718042216706e-88 -1.454645223881282e+52): 0 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263): 0 * [misc]none: (3.308825514112168e+294 -2.460746881557577e-120): 1 * [misc]none: (2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 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* [misc]none: (0.0005921945720183679 2.8115284450926948e-120): 1 * [misc]none: (3.040239018351611e+113 -1.974683671133818e+111): 0 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 0 * [misc]none: (-1.0101892530174619e+296 -5.733715992923197e+208): 0 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.5144530485773557e+177 3.96896356073862e+48): 0 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 0 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-6.387676171006472e+84 3.0718166030691505e-80): 1 * [misc]none: (-3.665096485975149e+155 2.7947853767132536e+32): 0 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 2 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 0 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 0 * [misc]none: (-507178.2418848363 7.835819247789118e-215): 1 * [misc]none: (-1.7331826939437403e-32 1.5041078345043152e-175): 1 * [misc]none: 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(-3.566909098618378e+32 -0.00023602766722364432): 0 * [misc]none: (-2.1146724245698338e+207 -4.006330508771236e-123): 1 * [misc]none: (9.292763926817302e+57 1.3228826725861251e-83): 1 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-1.8288429241916153e+264 6.748137222255588e+45): 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: (-6.996014108998747e+142 1.7737783369503947e+103): 0 * [misc]none: (-26916528204053.027 -2.7349284820526125e-289): 1 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (1.0468500326593331e+288 -4.7463128935226076e+86): 2 * [misc]none: (2.5502245720775025e+302 3.7105227033705403e+214): 0 * [misc]none: (6.470477944325298e+178 1.8862750447266752e-53): 1 * [misc]none: (1310698.3491744497 3.0319757073152243e-73): 1 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (4.4617997614332734e-49 -4.576042298933677e-291): 1 * [misc]none: (8.096247824539422e+292 5.1841759100413795e-161): 1 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (1.003089963055667e+133 -1.9929766413300646e-81): 1 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-3.7057466356555346e+296 -6.871006639197127e+34): 0 * [misc]none: (-3.1711756580365493e+100 -1.9739730389420339e-53): 1 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (-2.036080403524927e+291 -3.7662389909101225e+74): 0 * [misc]none: (-4.164360616471795e-297 1.1330111314315052e-297): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.186918480052641e+154 6.534790094984563e-249): 1 * [misc]none: (2.0761365520526402e+80 -6.136769236604219e-245): 1 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (1.3062346782022677e+257 9.20482191500962e-294): 1 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (9.448180626697868e+306 -6.624186711279531e-158): 1 * [misc]none: (-7.369494770670741e+183 -2.28428829200312e-74): 1 * [misc]none: (-8.192986595596162e+26 6.319063013887454e-198): 1 * [misc]none: (1.207285968110896e+80 4.013577168037153e-101): 1 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (-1.4103125294629063e+264 -3.3795898713138266e-300): 1 * [misc]none: (-8.397564680171817e-171 -5.030258942894069e-286): 1 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (3.8976396927163173e-162 -4.334942407090635e-248): 1 * [misc]none: (1.617089240788084e+57 -5.434332993935807e-16): 1 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 0 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 1 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 0 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 0 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 0 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 0 * [misc]none: All alt indexes * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 0 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))): 1 * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 2 * [misc]none: Best alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64): 0 * [misc]none: (1.1375933635893308e+160 -6.814866840940998e+135): 0 * [misc]none: (-5.655718042216706e-88 -1.454645223881282e+52): 0 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263): 0 * [misc]none: (3.308825514112168e+294 -2.460746881557577e-120): 1 * [misc]none: (2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152): 1 * [misc]none: (3.9436987604242746e-188 1.2987545615858837e-229): 1 * [misc]none: (4.072041399031216e+135 3.886264623793198e+50): 0 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261): 0 * [misc]none: (2.0115211857947715e+45 -1.1045058999604857e+216): 0 * [misc]none: (5.600091178152213e-210 7.360949206952843e-212): 1 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170): 0 * [misc]none: (-4.623471500501843e-242 5.1613450216466796e+222): 0 * [misc]none: (5.235172412726717e+152 3.9088394890922115e+223): 0 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86): 1 * [misc]none: (-2.4730898186525758e+92 1.1766044207630259e-195): 1 * [misc]none: (3.799449287593535e+246 -0.014763539181529813): 0 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134): 0 * [misc]none: (-8.950192398328319e-216 -2.304991300802574e+103): 0 * [misc]none: (1.2265182674709907e+198 3.136601910786915e+46): 0 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29): 1 * [misc]none: (4.1738948781395064e+263 4.319230432601922e-289): 1 * [misc]none: (1.878611753272109e+229 6.0910080487156845e-145): 1 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267): 1 * [misc]none: (-5.767560760391122e-80 3.087465078472461e-297): 1 * [misc]none: (11105828726598036.0 1.8641835944090122e-68): 1 * [misc]none: (4.082771820413304e+20 2.9298628929536803e-07): 0 * [misc]none: (-5.923298684844267e+94 2.112352033422511e-76): 1 * [misc]none: (-1.4985268459995148e-46 5.682432409793209e-103): 1 * [misc]none: (-2.927239517009746e+252 3.763740454339611e-154): 1 * [misc]none: (2.296991649120878e+37 3.5701416837580245e+199): 2 * [misc]none: (2.337605690906294e-85 -4.885442056107934e-227): 1 * [misc]none: (3.9227841234365035e+76 -3.356284453668777e-114): 1 * [misc]none: (4.984374966308376e+225 1.882765755995834e+18): 0 * [misc]none: (1.939469755263449e-274 2.0558821145728443e-244): 0 * [misc]none: (-1.1054341172121307e+140 -2.1503642873783828e+135): 0 * [misc]none: (7.118304679887613e-64 2.3966615634258388e-54): 0 * [misc]none: (-5.898930020082935e+214 -5.628195320915282e-68): 1 * [misc]none: (2.8183580936830136e+173 -3.0745109023049084e+38): 0 * [misc]none: (-2.745352039047204e+251 -3.2549065076282373e-223): 1 * [misc]none: (-2.9085637996437565e-109 -6.751934028520499e-153): 1 * [misc]none: (1.0609576781328471e-51 -2.9598382711916395e-27): 0 * [misc]none: (1.953450184014831e+240 1.9357477509582754e-93): 1 * [misc]none: (-3.868414697676859e-187 -7.980669295696735e+44): 0 * [misc]none: (127403.86295705284 -0.00034026123764188893): 0 * [misc]none: (-4.6106017244707195e+85 -1.107092798905617e+261): 0 * [misc]none: (-6.976081079926557e-283 -3.37039684741933e-178): 0 * [misc]none: (-2.4597612805403014e-225 -1.0732537067454568e+260): 0 * [misc]none: (3.703142739667792e+145 2.0217918620332625e-85): 1 * [misc]none: (5.6334012743355e-180 2.2204044591450003e+49): 0 * [misc]none: (-4.3610333217031953e+170 -5.0919585379789005e+258): 0 * [misc]none: (2.872174301870785e-238 -2.9327506918514952e+199): 0 * [misc]none: (-7.645827496994951e-25 5.725707728057964e+165): 0 * [misc]none: (-24848314.999854505 1.0486772986933419e+51): 2 * [misc]none: (2.885576028912994e-235 -4.494398935743406e-151): 0 * [misc]none: (1.6819327664275566e+227 2.7377399598585416e-269): 1 * [misc]none: (656785701220.522 -3.093221131514378e+260): 0 * [misc]none: (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: (4.1941250065146804e+123 5.834035641946906e-257): 1 * [misc]none: (3.906362661689762e+158 -2.0517902863946083e-102): 1 * [misc]none: (-1.7127652241866663e-27 1.1525212824649757e+173): 0 * [misc]none: (2.1519168903719224e-48 -1.933548091484468e-204): 1 * [misc]none: (-1.947707196703237e+130 -1.2654394089404018e+152): 0 * [misc]none: (-1.9108430739228874e-168 2.5954317092090663e+188): 0 * [misc]none: (1.2296515355157788e+308 2.467422452934927e-37): 0 * [misc]none: (5.976566162781828e-262 4.0522267480412145e+189): 0 * [misc]none: (-4.452114039611652e-132 1.638426277474575e-287): 1 * [misc]none: (1.1394954880619105e+204 -1.9937829353717472e+136): 0 * [misc]none: (7.12002652771949e+38 -1.0864842934460505e-25): 1 * [misc]none: (-2.8684613953187015e+191 3.1888170814308676e+138): 0 * [misc]none: (-1.142257873712315e-49 -2.488397426951592e+85): 0 * [misc]none: (-3.0074667053035266e-198 7.549936203493533e-264): 1 * [misc]none: (-7.706007717334245e-133 -3.852230944737251e+125): 0 * [misc]none: (1.9142734474564412e+250 -2.669176676414129e+220): 0 * [misc]none: (-1.917715355857765e-213 -1.2153695779764702e-107): 0 * [misc]none: (-5.6718708555151934e-182 -6.791163764654487e+57): 0 * [misc]none: (1.2321306439728458e+129 -8.306263539762776e+107): 0 * [misc]none: (1.9978503540907537e+101 -36.06203897217008): 0 * [misc]none: (8.837317626991618e+153 -4.077199751463202e-279): 1 * [misc]none: (3.561052370274286e+222 -1.9803302250630132e+229): 0 * [misc]none: (-1.2602406432951942e+242 1.3132191418449429e+272): 0 * [misc]none: (161670548.36131597 1.2154965615643017e-95): 1 * [misc]none: (3.335747506626598e+164 1.7054753386147003e-193): 1 * [misc]none: (1.417395857982962e+112 -9.484486393474689e+224): 2 * [misc]none: (1.0400546097675973e-191 -1.7028093168367145e-212): 1 * [misc]none: (-3.61122588585932e-122 -4.1072671632900297e-249): 1 * [misc]none: (1.2926844442603449e-272 6.777020097920311e+216): 0 * [misc]none: (-4.994865514247891e-53 8.02593234133885e-135): 1 * [misc]none: (2.416983450303648e+283 -2.2431045278273084e+46): 0 * [misc]none: (-1.1940600737652846e+124 -1.3488399650730669e+44): 0 * [misc]none: (4.3691114851826394e+164 -3.2452411716841134e-254): 1 * [misc]none: (4.693484541613577e-225 -6.27613587070019e-241): 1 * [misc]none: (-3.384502355044081e+73 1.488087021136329e-285): 1 * [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: (-7.188940579708169e-182 -3.5617683302613897e-208): 1 * [misc]none: (3.049268063166789e-38 -3.2414750156447513e-81): 1 * [misc]none: (-9.695048812228804e-33 4.3191412376834275e+249): 0 * [misc]none: (-7.454312585016396e+276 1.2650453722225915e+227): 0 * [misc]none: (-3.468803990975246e-114 -1.4358426706351876e-229): 1 * [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: (-1.0793047599221616e+192 -1.7397736048308963e+103): 0 * [misc]none: (-72190905149076.94 3.388041199273477e-265): 1 * [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: (2.7511202385052856e-18 3.82956155404422e-299): 1 * [misc]none: (-3.302434769770763e+39 5.765366200121622e+260): 0 * [misc]none: (-8.2157022007629e-58 -7.731583384630845e+52): 0 * [misc]none: (-8.347536812100916e-44 -2.710750607360271e-260): 1 * [misc]none: (4.296582624822391e-200 1.733700273392293e+77): 0 * [misc]none: (-2.8582758774924267e-140 9.139158849230913e-305): 1 * [misc]none: (6.683383915725252e-271 1.830961252259433e-59): 0 * [misc]none: (-1.8390495199831918e+89 -1.7614646333235536e-68): 1 * [misc]none: (4.068667347744151e-179 8.630725328355339e+266): 0 * [misc]none: (2.0934780804159847e+108 -2.7764650204569527e-216): 1 * [misc]none: (-3.81685776062912e-89 3.853952974089327e-228): 1 * [misc]none: (-5.100815418059268e-90 6.487293944891719e+78): 0 * [misc]none: (6.009493492582987e-296 -1.157925061166081e-58): 0 * [misc]none: (-8.052164657329149e+249 4.0029288312831376e+229): 0 * [misc]none: (-5.689324367802329e-246 -3.807287600161903e+145): 0 * [misc]none: (-3.332016910782324e+143 -4.3909971879838963e-305): 1 * [misc]none: (1.1909630224861144e-308 -3.036973607447883e+181): 0 * [misc]none: (2.5976261349663673e+194 4.713564345937309e+51): 0 * [misc]none: (2.4339041047854203e+128 -2.930048407292739e-56): 1 * [misc]none: (4.807691125223642e+307 2.4189569765995642e+235): 0 * [misc]none: (-7.53205818877362e+171 -1.909975404033537e+22): 0 * [misc]none: (-8.943843456084399e+287 -6.427869387517747e-307): 1 * [misc]none: (9.212199844523645e-229 -1.2461956087023843e-38): 0 * [misc]none: (5.0806815187366375e+166 4.873854048773888e+106): 0 * [misc]none: (-9.778085318793345e+168 2.5837312003366534e+84): 0 * [misc]none: (1.2300916721937489e+185 5.9776582784273185e+256): 0 * [misc]none: (3.003386221248247e-77 7.613990227232114e-101): 1 * [misc]none: (1.4369290385678577e-161 -4.620016485271843e+275): 0 * [misc]none: (-1.8419406107088546e-16 -9.544921276384073e+204): 0 * [misc]none: (2.3887736368263357e-225 -6.168974554229468e-230): 1 * [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: (-5.512692835732493e+272 1.1142271720543672e-206): 1 * [misc]none: (-2.2649668876344433e+291 4.324852362991129e+210): 0 * [misc]none: (2.8003106991789085e-69 -3.912955183972641e-245): 1 * [misc]none: (7.640371856720311e+193 -4.2800304431808546e+195): 2 * [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): 2 * [misc]none: (3.108236652528406e-297 7.181266914182018e-165): 0 * [misc]none: (7.579416102405756e+264 -4.054936013280633e-214): 1 * [misc]none: (522133630.66589946 -5.931595524156171e-137): 1 * [misc]none: (7.707611608802171e+62 1.152518328416828e+180): 0 * [misc]none: (-1.9705021169080373e+98 8.804518541136453e+46): 0 * [misc]none: (1.1353295840851429e-96 -1.9487210599798821e-283): 1 * [misc]none: (-1.727133899069611e+273 2.347768069961951e-79): 1 * [misc]none: (7.595028648060239e-286 -1.7004214918492403e-195): 0 * [misc]none: (257428378187.19754 -2.9451802210491167e-226): 1 * [misc]none: (4.5690448860660455e-67 1.2792918576789026e+83): 0 * [misc]none: (-4.213852294319719e-45 1.0832199703372366e-253): 1 * [misc]none: (5.604819818947254e+274 -1.028098363509014e-206): 1 * [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: (0.0005921945720183679 2.8115284450926948e-120): 1 * [misc]none: (3.040239018351611e+113 -1.974683671133818e+111): 0 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 0 * [misc]none: (-1.0101892530174619e+296 -5.733715992923197e+208): 0 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.5144530485773557e+177 3.96896356073862e+48): 0 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 0 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-6.387676171006472e+84 3.0718166030691505e-80): 1 * [misc]none: (-3.665096485975149e+155 2.7947853767132536e+32): 0 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 2 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 0 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 0 * [misc]none: (-507178.2418848363 7.835819247789118e-215): 1 * [misc]none: (-1.7331826939437403e-32 1.5041078345043152e-175): 1 * [misc]none: (2.258908512758085e+234 -7.5213132710662e-74): 1 * [misc]none: (-4.1351572114392246e+117 3.0457736919219457e-222): 1 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 0 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 0 * [misc]none: (6.35238923971634e+290 -1.4390028162741748e-46): 1 * [misc]none: (8.124998850854922e-91 2.0152844845402166e-297): 1 * [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: (-2.318323686204338e+235 -7.278263595880122e-193): 1 * [misc]none: (1.251913240849315e+217 -2.126351281480013e-88): 1 * [misc]none: (2.371904740187568e+215 4.1993878019740277e-286): 1 * [misc]none: (-7.778058147879301e+138 -1.5613876912499225e+57): 2 * [misc]none: (-2.816411430587057e+286 3.5802854801244576e+55): 0 * [misc]none: (-3.566909098618378e+32 -0.00023602766722364432): 0 * [misc]none: (-2.1146724245698338e+207 -4.006330508771236e-123): 1 * [misc]none: (9.292763926817302e+57 1.3228826725861251e-83): 1 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 0 * [misc]none: (-1.8288429241916153e+264 6.748137222255588e+45): 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: (-6.996014108998747e+142 1.7737783369503947e+103): 0 * [misc]none: (-26916528204053.027 -2.7349284820526125e-289): 1 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 0 * [misc]none: (1.0468500326593331e+288 -4.7463128935226076e+86): 2 * [misc]none: (2.5502245720775025e+302 3.7105227033705403e+214): 0 * [misc]none: (6.470477944325298e+178 1.8862750447266752e-53): 1 * [misc]none: (1310698.3491744497 3.0319757073152243e-73): 1 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 0 * [misc]none: (4.4617997614332734e-49 -4.576042298933677e-291): 1 * [misc]none: (8.096247824539422e+292 5.1841759100413795e-161): 1 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 0 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 0 * [misc]none: (1.003089963055667e+133 -1.9929766413300646e-81): 1 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 0 * [misc]none: (-3.7057466356555346e+296 -6.871006639197127e+34): 0 * [misc]none: (-3.1711756580365493e+100 -1.9739730389420339e-53): 1 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 0 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 0 * [misc]none: (-2.036080403524927e+291 -3.7662389909101225e+74): 0 * [misc]none: (-4.164360616471795e-297 1.1330111314315052e-297): 0 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 0 * [misc]none: (-1.186918480052641e+154 6.534790094984563e-249): 1 * [misc]none: (2.0761365520526402e+80 -6.136769236604219e-245): 1 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 0 * [misc]none: (1.3062346782022677e+257 9.20482191500962e-294): 1 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 0 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 0 * [misc]none: (9.448180626697868e+306 -6.624186711279531e-158): 1 * [misc]none: (-7.369494770670741e+183 -2.28428829200312e-74): 1 * [misc]none: (-8.192986595596162e+26 6.319063013887454e-198): 1 * [misc]none: (1.207285968110896e+80 4.013577168037153e-101): 1 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 0 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 0 * [misc]none: (-1.4103125294629063e+264 -3.3795898713138266e-300): 1 * [misc]none: (-8.397564680171817e-171 -5.030258942894069e-286): 1 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (3.8976396927163173e-162 -4.334942407090635e-248): 1 * [misc]none: (1.617089240788084e+57 -5.434332993935807e-16): 1 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 0 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 0 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 1 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 0 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 0 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 0 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 0 * [misc]none: Picked alt (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (sin x)))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (cos x)))) (+ (* 1/2 (- (* 1/2 (sin x)))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (- (* 1/8 (cos x)))) (+ (* 0 (- (* 1/2 (sin x)))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* eps 1)) (* 1 (* 1 x))) into (+ (* 1/2 eps) x) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 eps) 0) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 0 (/ 1 eps)) into (/ 1 eps) * [misc]backup-simplify: Simplify (- (/ (/ 1 eps) 2) (+ (* 1 (/ 0 2)))) into (* 1/2 (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* (* 1/2 (/ 1 eps)) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* (* 1/2 (/ 1 eps)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* (* 1/2 (/ 1 eps)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1/2 (* (/ 1 (/ 1 eps)) 1))) into (+ (* 1/2 eps) x) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 eps) 0) into (- (/ 1 eps)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 eps))) into (- (/ 1 eps)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 eps)) 2) (+ (* -1 (/ 0 2)))) into (- (* 1/2 (/ 1 eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1 (/ 0 2)) (* (- (* 1/2 (/ 1 eps))) (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1 (/ 0 2)) (* (- (* 1/2 (/ 1 eps))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1 (/ 0 2)) (* (- (* 1/2 (/ 1 eps))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1/2 (* (/ 1 (/ 1 (- eps))) 1))) into (+ (* 1/2 eps) x) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ x (+ eps x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* eps 1)) (* 2 (* 1 x))) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 eps) 0) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 0 (/ 1 eps)) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 eps)) 1))) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 eps) 0) into (- (/ 1 eps)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 eps))) into (- (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (- (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- eps))) 1))) into (+ eps (* 2 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (sin (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (sin (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (sin (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (+ (sin (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (sin (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (cos (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (cos (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ x (+ eps x)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (log (/ (+ x (+ eps x)) 2)) * [exit]simplify: Simplified to (log (/ (+ x (+ eps x)) 2)) * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ x (+ eps x)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (exp (+ x (+ eps x)))) * [exit]simplify: Simplified to (sqrt (exp (+ x (+ eps x)))) * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ x (+ eps x)) 2)) (cbrt (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ x (+ eps x)) 2)) (cbrt (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (+ x (+ eps x)) 2)) (cbrt (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (cbrt (/ (+ x (+ eps x)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ x (+ eps x)) 2)) * [exit]simplify: Simplified to (cbrt (/ (+ x (+ eps x)) 2)) * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ x (+ eps x)) 2) (/ (+ x (+ eps x)) 2)) (/ (+ x (+ eps x)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (pow (/ (+ x (+ eps x)) 2) 3) * [exit]simplify: Simplified to (pow (/ (+ x (+ eps x)) 2) 3) * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ x (+ eps x)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ eps x)) 2)) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ eps x)) 2)) * [enter]simplify: Simplifying (sqrt (/ (+ x (+ eps x)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ eps x)) 2)) * [exit]simplify: Simplified to (sqrt (/ (+ x (+ eps x)) 2)) * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (- eps) (+ x x)) * [exit]simplify: Simplified to (- (- eps) (+ x x)) * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 2 (+ (+ x x) eps)) * [exit]simplify: Simplified to (/ 2 (+ (+ x x) eps)) * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (cbrt (+ x (+ eps x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (+ eps (+ x x)))) * [exit]simplify: Simplified to (/ 2 (cbrt (+ eps (+ x x)))) * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ x (+ eps x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ eps (+ x x)))) * [exit]simplify: Simplified to (/ 2 (sqrt (+ eps (+ x x)))) * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 2 (+ (+ x x) eps)) * [exit]simplify: Simplified to (/ 2 (+ (+ x x) eps)) * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (+ (* x x) (- (* (+ eps x) (+ eps x)) (* x (+ eps x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (+ (* (* eps 2) (+ eps x)) (* 2 (* x x))) * [exit]simplify: Simplified to (+ (* (* eps 2) (+ eps x)) (* 2 (* x x))) * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* 2 (- eps)) * [exit]simplify: Simplified to (* 2 (- eps)) * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [enter]simplify: Simplifying (cbrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ x (+ eps x)) (+ x (+ eps x))) (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (+ eps x) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (+ (pow x 3) (pow (+ x eps) 3)) * [exit]simplify: Simplified to (+ (pow x 3) (pow (+ x eps) 3)) * [enter]simplify: Simplifying (+ (* x x) (- (* (+ eps x) (+ eps x)) (* x (+ eps x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (+ (* (+ x eps) x) (* eps eps)) * [exit]simplify: Simplified to (+ (* (+ x eps) x) (* eps eps)) * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (+ eps x) (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (* (- eps) (+ x (+ x eps))) * [exit]simplify: Simplified to (* (- eps) (+ x (+ x eps))) * [enter]simplify: Simplifying (- x (+ eps x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- eps) * [exit]simplify: Simplified to (- eps) * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x eps) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ eps x) * [exit]simplify: Simplified to (+ eps x) * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (- 1 (* (* x 1/2) (+ x eps)))) * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (+ (* x 2) eps) 1/2))) * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (+ (* x 2) eps) 1/2))) * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (- (* eps (* 1/2 2)) (* (+ (* eps 1/12) (* x 1/4)) (* eps (* 2 eps)))) * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (* (cos (* (+ (* x 2) eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (* (cos (* (+ (* x 2) eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (* 2 x)) 2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (* 2 x)) 2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (* 2 x)) 2)) (* (sin (/ eps 2)) 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 7 * [misc]none: All alts: 7 * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))) * [misc]none: Fresh alt: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))))) * [misc]none: Fresh alt: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) * [misc]none: Fresh alt indexes * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 0 * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))): 1 * [misc]none: (λ (x eps) (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 2 * [misc]none: (λ (x eps) (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))): 3 * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 4 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))))): 5 * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 6 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64): 4 * [misc]none: (1.1375933635893308e+160 -6.814866840940998e+135): 4 * [misc]none: (-5.655718042216706e-88 -1.454645223881282e+52): 3 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263): 4 * [misc]none: (3.308825514112168e+294 -2.460746881557577e-120): 0 * [misc]none: (2.6209483109511002e-99 1.0152763243033748e+142): 1 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152): 1 * [misc]none: (3.9436987604242746e-188 1.2987545615858837e-229): 3 * [misc]none: (4.072041399031216e+135 3.886264623793198e+50): 4 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261): 2 * [misc]none: (2.0115211857947715e+45 -1.1045058999604857e+216): 4 * [misc]none: (5.600091178152213e-210 7.360949206952843e-212): 0 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170): 4 * [misc]none: (-4.623471500501843e-242 5.1613450216466796e+222): 1 * [misc]none: (5.235172412726717e+152 3.9088394890922115e+223): 4 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86): 5 * [misc]none: (-2.4730898186525758e+92 1.1766044207630259e-195): 5 * [misc]none: (3.799449287593535e+246 -0.014763539181529813): 4 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134): 3 * [misc]none: (-8.950192398328319e-216 -2.304991300802574e+103): 4 * [misc]none: (1.2265182674709907e+198 3.136601910786915e+46): 4 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29): 2 * [misc]none: (4.1738948781395064e+263 4.319230432601922e-289): 5 * [misc]none: (1.878611753272109e+229 6.0910080487156845e-145): 5 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267): 2 * [misc]none: (-5.767560760391122e-80 3.087465078472461e-297): 3 * [misc]none: (11105828726598036.0 1.8641835944090122e-68): 3 * [misc]none: (4.082771820413304e+20 2.9298628929536803e-07): 4 * [misc]none: (-5.923298684844267e+94 2.112352033422511e-76): 0 * [misc]none: (-1.4985268459995148e-46 5.682432409793209e-103): 3 * [misc]none: (-2.927239517009746e+252 3.763740454339611e-154): 5 * [misc]none: (2.296991649120878e+37 3.5701416837580245e+199): 6 * [misc]none: (2.337605690906294e-85 -4.885442056107934e-227): 3 * [misc]none: (3.9227841234365035e+76 -3.356284453668777e-114): 3 * [misc]none: (4.984374966308376e+225 1.882765755995834e+18): 4 * [misc]none: (1.939469755263449e-274 2.0558821145728443e-244): 2 * [misc]none: (-1.1054341172121307e+140 -2.1503642873783828e+135): 4 * [misc]none: (7.118304679887613e-64 2.3966615634258388e-54): 3 * [misc]none: (-5.898930020082935e+214 -5.628195320915282e-68): 5 * [misc]none: (2.8183580936830136e+173 -3.0745109023049084e+38): 4 * [misc]none: (-2.745352039047204e+251 -3.2549065076282373e-223): 5 * [misc]none: (-2.9085637996437565e-109 -6.751934028520499e-153): 3 * [misc]none: (1.0609576781328471e-51 -2.9598382711916395e-27): 3 * [misc]none: (1.953450184014831e+240 1.9357477509582754e-93): 5 * [misc]none: (-3.868414697676859e-187 -7.980669295696735e+44): 4 * [misc]none: (127403.86295705284 -0.00034026123764188893): 4 * [misc]none: (-4.6106017244707195e+85 -1.107092798905617e+261): 4 * [misc]none: (-6.976081079926557e-283 -3.37039684741933e-178): 3 * [misc]none: (-2.4597612805403014e-225 -1.0732537067454568e+260): 4 * [misc]none: (3.703142739667792e+145 2.0217918620332625e-85): 0 * [misc]none: (5.6334012743355e-180 2.2204044591450003e+49): 2 * [misc]none: (-4.3610333217031953e+170 -5.0919585379789005e+258): 4 * [misc]none: (2.872174301870785e-238 -2.9327506918514952e+199): 4 * [misc]none: (-7.645827496994951e-25 5.725707728057964e+165): 4 * [misc]none: (-24848314.999854505 1.0486772986933419e+51): 6 * [misc]none: (2.885576028912994e-235 -4.494398935743406e-151): 3 * [misc]none: (1.6819327664275566e+227 2.7377399598585416e-269): 5 * [misc]none: (656785701220.522 -3.093221131514378e+260): 4 * [misc]none: (1.2391428993123195e-53 3.206221419912265e+51): 4 * [misc]none: (-9.565609472547322e-124 -7.966969819213301e-111): 0 * [misc]none: (-2.0310019187041234e+101 3.221198963762039e+166): 4 * [misc]none: (4.1941250065146804e+123 5.834035641946906e-257): 1 * [misc]none: (3.906362661689762e+158 -2.0517902863946083e-102): 3 * [misc]none: (-1.7127652241866663e-27 1.1525212824649757e+173): 0 * [misc]none: (2.1519168903719224e-48 -1.933548091484468e-204): 3 * [misc]none: (-1.947707196703237e+130 -1.2654394089404018e+152): 4 * [misc]none: (-1.9108430739228874e-168 2.5954317092090663e+188): 3 * [misc]none: (1.2296515355157788e+308 2.467422452934927e-37): 5 * [misc]none: (5.976566162781828e-262 4.0522267480412145e+189): 4 * [misc]none: (-4.452114039611652e-132 1.638426277474575e-287): 2 * [misc]none: (1.1394954880619105e+204 -1.9937829353717472e+136): 4 * [misc]none: (7.12002652771949e+38 -1.0864842934460505e-25): 0 * [misc]none: (-2.8684613953187015e+191 3.1888170814308676e+138): 4 * [misc]none: (-1.142257873712315e-49 -2.488397426951592e+85): 4 * [misc]none: (-3.0074667053035266e-198 7.549936203493533e-264): 3 * [misc]none: (-7.706007717334245e-133 -3.852230944737251e+125): 1 * [misc]none: (1.9142734474564412e+250 -2.669176676414129e+220): 4 * [misc]none: (-1.917715355857765e-213 -1.2153695779764702e-107): 0 * [misc]none: (-5.6718708555151934e-182 -6.791163764654487e+57): 2 * [misc]none: (1.2321306439728458e+129 -8.306263539762776e+107): 4 * [misc]none: (1.9978503540907537e+101 -36.06203897217008): 4 * [misc]none: (8.837317626991618e+153 -4.077199751463202e-279): 2 * [misc]none: (3.561052370274286e+222 -1.9803302250630132e+229): 4 * [misc]none: (-1.2602406432951942e+242 1.3132191418449429e+272): 4 * [misc]none: (161670548.36131597 1.2154965615643017e-95): 3 * [misc]none: (3.335747506626598e+164 1.7054753386147003e-193): 5 * [misc]none: (1.417395857982962e+112 -9.484486393474689e+224): 6 * [misc]none: (1.0400546097675973e-191 -1.7028093168367145e-212): 3 * [misc]none: (-3.61122588585932e-122 -4.1072671632900297e-249): 3 * [misc]none: (1.2926844442603449e-272 6.777020097920311e+216): 0 * [misc]none: (-4.994865514247891e-53 8.02593234133885e-135): 3 * [misc]none: (2.416983450303648e+283 -2.2431045278273084e+46): 4 * [misc]none: (-1.1940600737652846e+124 -1.3488399650730669e+44): 4 * [misc]none: (4.3691114851826394e+164 -3.2452411716841134e-254): 2 * [misc]none: (4.693484541613577e-225 -6.27613587070019e-241): 0 * [misc]none: (-3.384502355044081e+73 1.488087021136329e-285): 5 * [misc]none: (1.9700593229138827e-50 -2.9685688564746695e+259): 0 * [misc]none: (-7.343076758450515e-245 -2.1621255712627967e+96): 4 * [misc]none: (976625461889127.8 -3.730183968226007e+95): 4 * [misc]none: (1.6501972239963874e-258 -1.9062985237621918e-44): 3 * [misc]none: (-7.188940579708169e-182 -3.5617683302613897e-208): 3 * [misc]none: (3.049268063166789e-38 -3.2414750156447513e-81): 3 * [misc]none: (-9.695048812228804e-33 4.3191412376834275e+249): 4 * [misc]none: (-7.454312585016396e+276 1.2650453722225915e+227): 4 * [misc]none: (-3.468803990975246e-114 -1.4358426706351876e-229): 3 * [misc]none: (1.4932339006735016e+157 3.1812804254524387e+233): 4 * [misc]none: (-5.546827771104374e+87 -3.1207763882486933e+109): 4 * [misc]none: (-1.367452993894295e-129 6.343584508561789e+87): 1 * [misc]none: (-1.0793047599221616e+192 -1.7397736048308963e+103): 4 * [misc]none: (-72190905149076.94 3.388041199273477e-265): 1 * [misc]none: (3.7476721237841876e-281 4.811543151950025e-33): 2 * [misc]none: (-9.85118113779452e-207 -1.3584511753805632e+240): 4 * [misc]none: (1.7265727720717877e-65 -2.2076426027359137e+164): 4 * [misc]none: (6.525431496731668e-64 1.0982823072397984e+136): 3 * [misc]none: (2.704077310435608e-253 3.1639399211332326e+205): 1 * [misc]none: (2.7511202385052856e-18 3.82956155404422e-299): 2 * [misc]none: (-3.302434769770763e+39 5.765366200121622e+260): 4 * [misc]none: (-8.2157022007629e-58 -7.731583384630845e+52): 1 * [misc]none: (-8.347536812100916e-44 -2.710750607360271e-260): 3 * [misc]none: (4.296582624822391e-200 1.733700273392293e+77): 4 * [misc]none: (-2.8582758774924267e-140 9.139158849230913e-305): 3 * [misc]none: (6.683383915725252e-271 1.830961252259433e-59): 3 * [misc]none: (-1.8390495199831918e+89 -1.7614646333235536e-68): 5 * [misc]none: (4.068667347744151e-179 8.630725328355339e+266): 1 * [misc]none: (2.0934780804159847e+108 -2.7764650204569527e-216): 5 * [misc]none: (-3.81685776062912e-89 3.853952974089327e-228): 2 * [misc]none: (-5.100815418059268e-90 6.487293944891719e+78): 3 * [misc]none: (6.009493492582987e-296 -1.157925061166081e-58): 3 * [misc]none: (-8.052164657329149e+249 4.0029288312831376e+229): 4 * [misc]none: (-5.689324367802329e-246 -3.807287600161903e+145): 4 * [misc]none: (-3.332016910782324e+143 -4.3909971879838963e-305): 5 * [misc]none: (1.1909630224861144e-308 -3.036973607447883e+181): 3 * [misc]none: (2.5976261349663673e+194 4.713564345937309e+51): 4 * [misc]none: (2.4339041047854203e+128 -2.930048407292739e-56): 5 * [misc]none: (4.807691125223642e+307 2.4189569765995642e+235): 4 * [misc]none: (-7.53205818877362e+171 -1.909975404033537e+22): 4 * [misc]none: (-8.943843456084399e+287 -6.427869387517747e-307): 1 * [misc]none: (9.212199844523645e-229 -1.2461956087023843e-38): 3 * [misc]none: (5.0806815187366375e+166 4.873854048773888e+106): 4 * [misc]none: (-9.778085318793345e+168 2.5837312003366534e+84): 4 * [misc]none: (1.2300916721937489e+185 5.9776582784273185e+256): 4 * [misc]none: (3.003386221248247e-77 7.613990227232114e-101): 2 * [misc]none: (1.4369290385678577e-161 -4.620016485271843e+275): 3 * [misc]none: (-1.8419406107088546e-16 -9.544921276384073e+204): 3 * [misc]none: (2.3887736368263357e-225 -6.168974554229468e-230): 3 * [misc]none: (2.116370076668309e-191 -6.052115395011814e+79): 0 * [misc]none: (-1.1883563404969162e-50 -2.3731320528329528e+163): 2 * [misc]none: (-6.903597812238514e-236 -2.3192639332694516e+265): 3 * [misc]none: (-5.512692835732493e+272 1.1142271720543672e-206): 5 * [misc]none: (-2.2649668876344433e+291 4.324852362991129e+210): 4 * [misc]none: (2.8003106991789085e-69 -3.912955183972641e-245): 3 * [misc]none: (7.640371856720311e+193 -4.2800304431808546e+195): 6 * [misc]none: (3.438873899519122e+171 1.8186504690640068e+223): 4 * [misc]none: (5.515506992492392e-277 2.595646488837273e-219): 2 * [misc]none: (-1.0403226659956264e-12 5.476456469319565e+77): 4 * [misc]none: (-1.6206847274577324e+56 9.915398041121362e+277): 6 * [misc]none: (3.108236652528406e-297 7.181266914182018e-165): 2 * [misc]none: (7.579416102405756e+264 -4.054936013280633e-214): 2 * [misc]none: (522133630.66589946 -5.931595524156171e-137): 2 * [misc]none: (7.707611608802171e+62 1.152518328416828e+180): 4 * [misc]none: (-1.9705021169080373e+98 8.804518541136453e+46): 4 * [misc]none: (1.1353295840851429e-96 -1.9487210599798821e-283): 3 * [misc]none: (-1.727133899069611e+273 2.347768069961951e-79): 1 * [misc]none: (7.595028648060239e-286 -1.7004214918492403e-195): 3 * [misc]none: (257428378187.19754 -2.9451802210491167e-226): 2 * [misc]none: (4.5690448860660455e-67 1.2792918576789026e+83): 0 * [misc]none: (-4.213852294319719e-45 1.0832199703372366e-253): 2 * [misc]none: (5.604819818947254e+274 -1.028098363509014e-206): 5 * [misc]none: (3.934156464498665e-121 1.9851718582837827e+233): 0 * [misc]none: (9.235262766535639e+122 -1.5161407061059675e+185): 4 * [misc]none: (-2.030003858554109e-299 3.5865707327746786e+87): 2 * [misc]none: (2797.2682494851097 5.51985688247549e+99): 4 * [misc]none: (0.0005921945720183679 2.8115284450926948e-120): 2 * [misc]none: (3.040239018351611e+113 -1.974683671133818e+111): 4 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 3 * [misc]none: (-1.0101892530174619e+296 -5.733715992923197e+208): 4 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.5144530485773557e+177 3.96896356073862e+48): 4 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 4 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-6.387676171006472e+84 3.0718166030691505e-80): 0 * [misc]none: (-3.665096485975149e+155 2.7947853767132536e+32): 4 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 6 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 4 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 3 * [misc]none: (-507178.2418848363 7.835819247789118e-215): 2 * [misc]none: (-1.7331826939437403e-32 1.5041078345043152e-175): 3 * [misc]none: (2.258908512758085e+234 -7.5213132710662e-74): 5 * [misc]none: (-4.1351572114392246e+117 3.0457736919219457e-222): 3 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 4 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 4 * [misc]none: (6.35238923971634e+290 -1.4390028162741748e-46): 5 * [misc]none: (8.124998850854922e-91 2.0152844845402166e-297): 3 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 4 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 4 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 3 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 3 * [misc]none: (-2.318323686204338e+235 -7.278263595880122e-193): 3 * [misc]none: (1.251913240849315e+217 -2.126351281480013e-88): 3 * [misc]none: (2.371904740187568e+215 4.1993878019740277e-286): 5 * [misc]none: (-7.778058147879301e+138 -1.5613876912499225e+57): 6 * [misc]none: (-2.816411430587057e+286 3.5802854801244576e+55): 4 * [misc]none: (-3.566909098618378e+32 -0.00023602766722364432): 4 * [misc]none: (-2.1146724245698338e+207 -4.006330508771236e-123): 5 * [misc]none: (9.292763926817302e+57 1.3228826725861251e-83): 1 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 2 * [misc]none: (-1.8288429241916153e+264 6.748137222255588e+45): 4 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 4 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 4 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 4 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 4 * [misc]none: (-6.996014108998747e+142 1.7737783369503947e+103): 4 * [misc]none: (-26916528204053.027 -2.7349284820526125e-289): 2 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 4 * [misc]none: (1.0468500326593331e+288 -4.7463128935226076e+86): 6 * [misc]none: (2.5502245720775025e+302 3.7105227033705403e+214): 4 * [misc]none: (6.470477944325298e+178 1.8862750447266752e-53): 5 * [misc]none: (1310698.3491744497 3.0319757073152243e-73): 1 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 3 * [misc]none: (4.4617997614332734e-49 -4.576042298933677e-291): 3 * [misc]none: (8.096247824539422e+292 5.1841759100413795e-161): 5 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 4 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 4 * [misc]none: (1.003089963055667e+133 -1.9929766413300646e-81): 5 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 1 * [misc]none: (-3.7057466356555346e+296 -6.871006639197127e+34): 4 * [misc]none: (-3.1711756580365493e+100 -1.9739730389420339e-53): 3 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 3 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 4 * [misc]none: (-2.036080403524927e+291 -3.7662389909101225e+74): 4 * [misc]none: (-4.164360616471795e-297 1.1330111314315052e-297): 3 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 3 * [misc]none: (-1.186918480052641e+154 6.534790094984563e-249): 0 * [misc]none: (2.0761365520526402e+80 -6.136769236604219e-245): 5 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 4 * [misc]none: (1.3062346782022677e+257 9.20482191500962e-294): 5 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 4 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 4 * [misc]none: (9.448180626697868e+306 -6.624186711279531e-158): 5 * [misc]none: (-7.369494770670741e+183 -2.28428829200312e-74): 3 * [misc]none: (-8.192986595596162e+26 6.319063013887454e-198): 0 * [misc]none: (1.207285968110896e+80 4.013577168037153e-101): 3 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 4 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 3 * [misc]none: (-1.4103125294629063e+264 -3.3795898713138266e-300): 2 * [misc]none: (-8.397564680171817e-171 -5.030258942894069e-286): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (3.8976396927163173e-162 -4.334942407090635e-248): 3 * [misc]none: (1.617089240788084e+57 -5.434332993935807e-16): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 2 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 4 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 1 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 4 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 4 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 4 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 4 * [misc]none: All alt indexes * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 0 * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))): 1 * [misc]none: (λ (x eps) (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 2 * [misc]none: (λ (x eps) (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))): 3 * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 4 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))))): 5 * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 6 * [misc]none: Best alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64): 4 * [misc]none: (1.1375933635893308e+160 -6.814866840940998e+135): 4 * [misc]none: (-5.655718042216706e-88 -1.454645223881282e+52): 3 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263): 4 * [misc]none: (3.308825514112168e+294 -2.460746881557577e-120): 0 * [misc]none: (2.6209483109511002e-99 1.0152763243033748e+142): 1 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152): 1 * [misc]none: (3.9436987604242746e-188 1.2987545615858837e-229): 3 * [misc]none: (4.072041399031216e+135 3.886264623793198e+50): 4 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261): 2 * [misc]none: (2.0115211857947715e+45 -1.1045058999604857e+216): 4 * [misc]none: (5.600091178152213e-210 7.360949206952843e-212): 0 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170): 4 * [misc]none: (-4.623471500501843e-242 5.1613450216466796e+222): 1 * [misc]none: (5.235172412726717e+152 3.9088394890922115e+223): 4 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86): 5 * [misc]none: (-2.4730898186525758e+92 1.1766044207630259e-195): 5 * [misc]none: (3.799449287593535e+246 -0.014763539181529813): 4 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134): 3 * [misc]none: (-8.950192398328319e-216 -2.304991300802574e+103): 4 * [misc]none: (1.2265182674709907e+198 3.136601910786915e+46): 4 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29): 2 * [misc]none: (4.1738948781395064e+263 4.319230432601922e-289): 5 * [misc]none: (1.878611753272109e+229 6.0910080487156845e-145): 5 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267): 2 * [misc]none: (-5.767560760391122e-80 3.087465078472461e-297): 3 * [misc]none: (11105828726598036.0 1.8641835944090122e-68): 3 * [misc]none: (4.082771820413304e+20 2.9298628929536803e-07): 4 * [misc]none: (-5.923298684844267e+94 2.112352033422511e-76): 0 * [misc]none: (-1.4985268459995148e-46 5.682432409793209e-103): 3 * [misc]none: (-2.927239517009746e+252 3.763740454339611e-154): 5 * [misc]none: (2.296991649120878e+37 3.5701416837580245e+199): 6 * [misc]none: (2.337605690906294e-85 -4.885442056107934e-227): 3 * [misc]none: (3.9227841234365035e+76 -3.356284453668777e-114): 3 * [misc]none: (4.984374966308376e+225 1.882765755995834e+18): 4 * [misc]none: (1.939469755263449e-274 2.0558821145728443e-244): 2 * [misc]none: (-1.1054341172121307e+140 -2.1503642873783828e+135): 4 * [misc]none: (7.118304679887613e-64 2.3966615634258388e-54): 3 * [misc]none: (-5.898930020082935e+214 -5.628195320915282e-68): 5 * [misc]none: (2.8183580936830136e+173 -3.0745109023049084e+38): 4 * [misc]none: (-2.745352039047204e+251 -3.2549065076282373e-223): 5 * [misc]none: (-2.9085637996437565e-109 -6.751934028520499e-153): 3 * [misc]none: (1.0609576781328471e-51 -2.9598382711916395e-27): 3 * [misc]none: (1.953450184014831e+240 1.9357477509582754e-93): 5 * [misc]none: (-3.868414697676859e-187 -7.980669295696735e+44): 4 * [misc]none: (127403.86295705284 -0.00034026123764188893): 4 * [misc]none: (-4.6106017244707195e+85 -1.107092798905617e+261): 4 * [misc]none: (-6.976081079926557e-283 -3.37039684741933e-178): 3 * [misc]none: (-2.4597612805403014e-225 -1.0732537067454568e+260): 4 * [misc]none: (3.703142739667792e+145 2.0217918620332625e-85): 0 * [misc]none: (5.6334012743355e-180 2.2204044591450003e+49): 2 * [misc]none: (-4.3610333217031953e+170 -5.0919585379789005e+258): 4 * [misc]none: (2.872174301870785e-238 -2.9327506918514952e+199): 4 * [misc]none: (-7.645827496994951e-25 5.725707728057964e+165): 4 * [misc]none: (-24848314.999854505 1.0486772986933419e+51): 6 * [misc]none: (2.885576028912994e-235 -4.494398935743406e-151): 3 * [misc]none: (1.6819327664275566e+227 2.7377399598585416e-269): 5 * [misc]none: (656785701220.522 -3.093221131514378e+260): 4 * [misc]none: (1.2391428993123195e-53 3.206221419912265e+51): 4 * [misc]none: (-9.565609472547322e-124 -7.966969819213301e-111): 0 * [misc]none: (-2.0310019187041234e+101 3.221198963762039e+166): 4 * [misc]none: (4.1941250065146804e+123 5.834035641946906e-257): 1 * [misc]none: (3.906362661689762e+158 -2.0517902863946083e-102): 3 * [misc]none: (-1.7127652241866663e-27 1.1525212824649757e+173): 0 * [misc]none: (2.1519168903719224e-48 -1.933548091484468e-204): 3 * [misc]none: (-1.947707196703237e+130 -1.2654394089404018e+152): 4 * [misc]none: (-1.9108430739228874e-168 2.5954317092090663e+188): 3 * [misc]none: (1.2296515355157788e+308 2.467422452934927e-37): 5 * [misc]none: (5.976566162781828e-262 4.0522267480412145e+189): 4 * [misc]none: (-4.452114039611652e-132 1.638426277474575e-287): 2 * [misc]none: (1.1394954880619105e+204 -1.9937829353717472e+136): 4 * [misc]none: (7.12002652771949e+38 -1.0864842934460505e-25): 0 * [misc]none: (-2.8684613953187015e+191 3.1888170814308676e+138): 4 * [misc]none: (-1.142257873712315e-49 -2.488397426951592e+85): 4 * [misc]none: (-3.0074667053035266e-198 7.549936203493533e-264): 3 * [misc]none: (-7.706007717334245e-133 -3.852230944737251e+125): 1 * [misc]none: (1.9142734474564412e+250 -2.669176676414129e+220): 4 * [misc]none: (-1.917715355857765e-213 -1.2153695779764702e-107): 0 * [misc]none: (-5.6718708555151934e-182 -6.791163764654487e+57): 2 * [misc]none: (1.2321306439728458e+129 -8.306263539762776e+107): 4 * [misc]none: (1.9978503540907537e+101 -36.06203897217008): 4 * [misc]none: (8.837317626991618e+153 -4.077199751463202e-279): 2 * [misc]none: (3.561052370274286e+222 -1.9803302250630132e+229): 4 * [misc]none: (-1.2602406432951942e+242 1.3132191418449429e+272): 4 * [misc]none: (161670548.36131597 1.2154965615643017e-95): 3 * [misc]none: (3.335747506626598e+164 1.7054753386147003e-193): 5 * [misc]none: (1.417395857982962e+112 -9.484486393474689e+224): 6 * [misc]none: (1.0400546097675973e-191 -1.7028093168367145e-212): 3 * [misc]none: (-3.61122588585932e-122 -4.1072671632900297e-249): 3 * [misc]none: (1.2926844442603449e-272 6.777020097920311e+216): 0 * [misc]none: (-4.994865514247891e-53 8.02593234133885e-135): 3 * [misc]none: (2.416983450303648e+283 -2.2431045278273084e+46): 4 * [misc]none: (-1.1940600737652846e+124 -1.3488399650730669e+44): 4 * [misc]none: (4.3691114851826394e+164 -3.2452411716841134e-254): 2 * [misc]none: (4.693484541613577e-225 -6.27613587070019e-241): 0 * [misc]none: (-3.384502355044081e+73 1.488087021136329e-285): 5 * [misc]none: (1.9700593229138827e-50 -2.9685688564746695e+259): 0 * [misc]none: (-7.343076758450515e-245 -2.1621255712627967e+96): 4 * [misc]none: (976625461889127.8 -3.730183968226007e+95): 4 * [misc]none: (1.6501972239963874e-258 -1.9062985237621918e-44): 3 * [misc]none: (-7.188940579708169e-182 -3.5617683302613897e-208): 3 * [misc]none: (3.049268063166789e-38 -3.2414750156447513e-81): 3 * [misc]none: (-9.695048812228804e-33 4.3191412376834275e+249): 4 * [misc]none: (-7.454312585016396e+276 1.2650453722225915e+227): 4 * [misc]none: (-3.468803990975246e-114 -1.4358426706351876e-229): 3 * [misc]none: (1.4932339006735016e+157 3.1812804254524387e+233): 4 * [misc]none: (-5.546827771104374e+87 -3.1207763882486933e+109): 4 * [misc]none: (-1.367452993894295e-129 6.343584508561789e+87): 1 * [misc]none: (-1.0793047599221616e+192 -1.7397736048308963e+103): 4 * [misc]none: (-72190905149076.94 3.388041199273477e-265): 1 * [misc]none: (3.7476721237841876e-281 4.811543151950025e-33): 2 * [misc]none: (-9.85118113779452e-207 -1.3584511753805632e+240): 4 * [misc]none: (1.7265727720717877e-65 -2.2076426027359137e+164): 4 * [misc]none: (6.525431496731668e-64 1.0982823072397984e+136): 3 * [misc]none: (2.704077310435608e-253 3.1639399211332326e+205): 1 * [misc]none: (2.7511202385052856e-18 3.82956155404422e-299): 2 * [misc]none: (-3.302434769770763e+39 5.765366200121622e+260): 4 * [misc]none: (-8.2157022007629e-58 -7.731583384630845e+52): 1 * [misc]none: (-8.347536812100916e-44 -2.710750607360271e-260): 3 * [misc]none: (4.296582624822391e-200 1.733700273392293e+77): 4 * [misc]none: (-2.8582758774924267e-140 9.139158849230913e-305): 3 * [misc]none: (6.683383915725252e-271 1.830961252259433e-59): 3 * [misc]none: (-1.8390495199831918e+89 -1.7614646333235536e-68): 5 * [misc]none: (4.068667347744151e-179 8.630725328355339e+266): 1 * [misc]none: (2.0934780804159847e+108 -2.7764650204569527e-216): 5 * [misc]none: (-3.81685776062912e-89 3.853952974089327e-228): 2 * [misc]none: (-5.100815418059268e-90 6.487293944891719e+78): 3 * [misc]none: (6.009493492582987e-296 -1.157925061166081e-58): 3 * [misc]none: (-8.052164657329149e+249 4.0029288312831376e+229): 4 * [misc]none: (-5.689324367802329e-246 -3.807287600161903e+145): 4 * [misc]none: (-3.332016910782324e+143 -4.3909971879838963e-305): 5 * [misc]none: (1.1909630224861144e-308 -3.036973607447883e+181): 3 * [misc]none: (2.5976261349663673e+194 4.713564345937309e+51): 4 * [misc]none: (2.4339041047854203e+128 -2.930048407292739e-56): 5 * [misc]none: (4.807691125223642e+307 2.4189569765995642e+235): 4 * [misc]none: (-7.53205818877362e+171 -1.909975404033537e+22): 4 * [misc]none: (-8.943843456084399e+287 -6.427869387517747e-307): 1 * [misc]none: (9.212199844523645e-229 -1.2461956087023843e-38): 3 * [misc]none: (5.0806815187366375e+166 4.873854048773888e+106): 4 * [misc]none: (-9.778085318793345e+168 2.5837312003366534e+84): 4 * [misc]none: (1.2300916721937489e+185 5.9776582784273185e+256): 4 * [misc]none: (3.003386221248247e-77 7.613990227232114e-101): 2 * [misc]none: (1.4369290385678577e-161 -4.620016485271843e+275): 3 * [misc]none: (-1.8419406107088546e-16 -9.544921276384073e+204): 3 * [misc]none: (2.3887736368263357e-225 -6.168974554229468e-230): 3 * [misc]none: (2.116370076668309e-191 -6.052115395011814e+79): 0 * [misc]none: (-1.1883563404969162e-50 -2.3731320528329528e+163): 2 * [misc]none: (-6.903597812238514e-236 -2.3192639332694516e+265): 3 * [misc]none: (-5.512692835732493e+272 1.1142271720543672e-206): 5 * [misc]none: (-2.2649668876344433e+291 4.324852362991129e+210): 4 * [misc]none: (2.8003106991789085e-69 -3.912955183972641e-245): 3 * [misc]none: (7.640371856720311e+193 -4.2800304431808546e+195): 6 * [misc]none: (3.438873899519122e+171 1.8186504690640068e+223): 4 * [misc]none: (5.515506992492392e-277 2.595646488837273e-219): 2 * [misc]none: (-1.0403226659956264e-12 5.476456469319565e+77): 4 * [misc]none: (-1.6206847274577324e+56 9.915398041121362e+277): 6 * [misc]none: (3.108236652528406e-297 7.181266914182018e-165): 2 * [misc]none: (7.579416102405756e+264 -4.054936013280633e-214): 2 * [misc]none: (522133630.66589946 -5.931595524156171e-137): 2 * [misc]none: (7.707611608802171e+62 1.152518328416828e+180): 4 * [misc]none: (-1.9705021169080373e+98 8.804518541136453e+46): 4 * [misc]none: (1.1353295840851429e-96 -1.9487210599798821e-283): 3 * [misc]none: (-1.727133899069611e+273 2.347768069961951e-79): 1 * [misc]none: (7.595028648060239e-286 -1.7004214918492403e-195): 3 * [misc]none: (257428378187.19754 -2.9451802210491167e-226): 2 * [misc]none: (4.5690448860660455e-67 1.2792918576789026e+83): 0 * [misc]none: (-4.213852294319719e-45 1.0832199703372366e-253): 2 * [misc]none: (5.604819818947254e+274 -1.028098363509014e-206): 5 * [misc]none: (3.934156464498665e-121 1.9851718582837827e+233): 0 * [misc]none: (9.235262766535639e+122 -1.5161407061059675e+185): 4 * [misc]none: (-2.030003858554109e-299 3.5865707327746786e+87): 2 * [misc]none: (2797.2682494851097 5.51985688247549e+99): 4 * [misc]none: (0.0005921945720183679 2.8115284450926948e-120): 2 * [misc]none: (3.040239018351611e+113 -1.974683671133818e+111): 4 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 3 * [misc]none: (-1.0101892530174619e+296 -5.733715992923197e+208): 4 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.5144530485773557e+177 3.96896356073862e+48): 4 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 4 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-6.387676171006472e+84 3.0718166030691505e-80): 0 * [misc]none: (-3.665096485975149e+155 2.7947853767132536e+32): 4 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 6 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 4 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 3 * [misc]none: (-507178.2418848363 7.835819247789118e-215): 2 * [misc]none: (-1.7331826939437403e-32 1.5041078345043152e-175): 3 * [misc]none: (2.258908512758085e+234 -7.5213132710662e-74): 5 * [misc]none: (-4.1351572114392246e+117 3.0457736919219457e-222): 3 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 4 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 4 * [misc]none: (6.35238923971634e+290 -1.4390028162741748e-46): 5 * [misc]none: (8.124998850854922e-91 2.0152844845402166e-297): 3 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 4 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 4 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 3 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 3 * [misc]none: (-2.318323686204338e+235 -7.278263595880122e-193): 3 * [misc]none: (1.251913240849315e+217 -2.126351281480013e-88): 3 * [misc]none: (2.371904740187568e+215 4.1993878019740277e-286): 5 * [misc]none: (-7.778058147879301e+138 -1.5613876912499225e+57): 6 * [misc]none: (-2.816411430587057e+286 3.5802854801244576e+55): 4 * [misc]none: (-3.566909098618378e+32 -0.00023602766722364432): 4 * [misc]none: (-2.1146724245698338e+207 -4.006330508771236e-123): 5 * [misc]none: (9.292763926817302e+57 1.3228826725861251e-83): 1 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 2 * [misc]none: (-1.8288429241916153e+264 6.748137222255588e+45): 4 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 4 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 4 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 4 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 4 * [misc]none: (-6.996014108998747e+142 1.7737783369503947e+103): 4 * [misc]none: (-26916528204053.027 -2.7349284820526125e-289): 2 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 4 * [misc]none: (1.0468500326593331e+288 -4.7463128935226076e+86): 6 * [misc]none: (2.5502245720775025e+302 3.7105227033705403e+214): 4 * [misc]none: (6.470477944325298e+178 1.8862750447266752e-53): 5 * [misc]none: (1310698.3491744497 3.0319757073152243e-73): 1 * [misc]none: (3.46946296425657e-151 -1.5345220119867362e-54): 3 * [misc]none: (4.4617997614332734e-49 -4.576042298933677e-291): 3 * [misc]none: (8.096247824539422e+292 5.1841759100413795e-161): 5 * [misc]none: (-1.1702801497935302e+74 -7.278993393347645e+231): 4 * [misc]none: (6.821311827045434e-30 2.8401584433220846e+96): 4 * [misc]none: (1.003089963055667e+133 -1.9929766413300646e-81): 5 * [misc]none: (2.6830861914889714e-191 5.086243151153881e+259): 1 * [misc]none: (-3.7057466356555346e+296 -6.871006639197127e+34): 4 * [misc]none: (-3.1711756580365493e+100 -1.9739730389420339e-53): 3 * [misc]none: (-1.3992932767813926e-176 2.5419285128257477e-50): 3 * [misc]none: (-5.652687215490466e-220 -4.579346974612789e+181): 4 * [misc]none: (-2.036080403524927e+291 -3.7662389909101225e+74): 4 * [misc]none: (-4.164360616471795e-297 1.1330111314315052e-297): 3 * [misc]none: (6.333415879143823e-203 -1.1408068010697186e-09): 3 * [misc]none: (-1.186918480052641e+154 6.534790094984563e-249): 0 * [misc]none: (2.0761365520526402e+80 -6.136769236604219e-245): 5 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 4 * [misc]none: (1.3062346782022677e+257 9.20482191500962e-294): 5 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 4 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 4 * [misc]none: (9.448180626697868e+306 -6.624186711279531e-158): 5 * [misc]none: (-7.369494770670741e+183 -2.28428829200312e-74): 3 * [misc]none: (-8.192986595596162e+26 6.319063013887454e-198): 0 * [misc]none: (1.207285968110896e+80 4.013577168037153e-101): 3 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 4 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 3 * [misc]none: (-1.4103125294629063e+264 -3.3795898713138266e-300): 2 * [misc]none: (-8.397564680171817e-171 -5.030258942894069e-286): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (3.8976396927163173e-162 -4.334942407090635e-248): 3 * [misc]none: (1.617089240788084e+57 -5.434332993935807e-16): 0 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 2 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 4 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 1 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 4 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 4 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 4 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 4 * [misc]none: Picked alt (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 eps) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ (* 1/2 eps) 0) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 eps) x) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 eps) x) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) 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 x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) into (cos (+ (* 1/2 eps) x)) * [misc]approximate: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x)))))) into (cos (+ (* 1/2 eps) x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 eps) x) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (+ (* 1/2 eps) 0) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 eps) x) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 eps) x)) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 eps) x) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (sin x)))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) 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 x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (cos x)))) (+ (* 1/2 (- (* 1/2 (sin x)))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (- (* 1/8 (cos x)))) (+ (* 0 (- (* 1/2 (sin x)))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) into (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) into (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (+ (* 1/2 (/ 1 (/ 1 eps))) (/ 1 (/ 1 x)))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (/ 1 (- eps))) (/ 1 (- x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))) into (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 eps)) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) into (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) into (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) into (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (- (+ (* 1/2 (/ 1 eps)) (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (- (+ (* 1/2 (/ 1 (/ 1 (- eps)))) (/ 1 (/ 1 (- x)))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (+ (* 1/2 eps) x)) (sin (* 1/2 eps))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (cos x)) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (cos x)) * [enter]simplify: Simplifying (* (sin (* 1/2 eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sin x)) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sin x)) * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (log (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (exp (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (+ x (* eps 1/2)))) (cbrt (cos (+ x (* eps 1/2))))) * [exit]simplify: Simplified to (* (cbrt (cos (+ x (* eps 1/2)))) (cbrt (cos (+ x (* eps 1/2))))) * [enter]simplify: Simplifying (cbrt (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (cbrt (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (pow (cos (+ x (* eps 1/2))) 3) * [exit]simplify: Simplified to (pow (cos (+ x (* eps 1/2))) 3) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (sqrt (cos (+ x (* eps 1/2)))) * [enter]simplify: Simplifying (sqrt (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (sqrt (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- (/ eps 2) (+ (* 1/2 eps) x))) (sin (+ (/ eps 2) (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (+ (sin (- (- (/ eps 2) x) (* 1/2 eps))) (sin (+ (* 1/2 eps) (+ (/ eps 2) x)))) * [exit]simplify: Simplified to (+ (sin (- (- (/ eps 2) x) (* 1/2 eps))) (sin (+ (* 1/2 eps) (+ (/ eps 2) x)))) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (+ (* 1/2 eps) x)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (+ (* 1/2 eps) x)))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (log (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (cos (+ (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (pow (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) (cbrt (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) (cbrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) (cbrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (pow (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (+ x (* eps 1/2))) (sin (/ eps 2)))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (cos (+ (* 1/2 eps) x))) (cbrt (cos (+ (* 1/2 eps) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ x (* eps 1/2)))) (cbrt (cos (+ x (* eps 1/2))))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (cos (+ x (* eps 1/2)))) (cbrt (cos (+ x (* eps 1/2))))) (sin (/ eps 2))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (+ x (* eps 1/2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sqrt (cos (+ x (* eps 1/2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cos (+ (* 1/2 eps) x)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (+ (* 1/2 eps) x)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cos (+ (* 1/2 eps) x)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (+ (* 1/2 eps) x)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (sin (/ eps 2))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (- (* 2 (sin (/ eps 2))) (* (* 2 (sin (/ eps 2))) (* eps (+ (* x 1/2) (* 1/8 eps))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (- (* eps (* 1/2 2)) (* (+ (* eps 1/12) (* x 1/4)) (* eps (* 2 eps)))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (+ (* 1/2 eps) x)) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (* (sin (* eps 1/2)) 2) (cos (+ (* eps 1/2) x))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (+ (* 1/2 eps) x)) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (* (sin (* eps 1/2)) 2) (cos (+ (* eps 1/2) x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 7 * [misc]none: All alts: 7 * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))) * [misc]none: Fresh alt: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) * [misc]none: Fresh alt: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) * [misc]none: Fresh alt indexes * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 0 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))))): 1 * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))): 2 * [misc]none: (λ (x eps) (* 2 (* (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 3 * [misc]none: (λ (x eps) (* 2 (* (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))): 4 * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 5 * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 6 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64): 1 * [misc]none: (1.1375933635893308e+160 -6.814866840940998e+135): 5 * [misc]none: (-5.655718042216706e-88 -1.454645223881282e+52): 4 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263): 1 * [misc]none: (3.308825514112168e+294 -2.460746881557577e-120): 0 * [misc]none: (2.6209483109511002e-99 1.0152763243033748e+142): 2 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152): 2 * [misc]none: (3.9436987604242746e-188 1.2987545615858837e-229): 1 * [misc]none: (4.072041399031216e+135 3.886264623793198e+50): 1 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261): 1 * [misc]none: (2.0115211857947715e+45 -1.1045058999604857e+216): 5 * [misc]none: (5.600091178152213e-210 7.360949206952843e-212): 0 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170): 5 * [misc]none: (-4.623471500501843e-242 5.1613450216466796e+222): 1 * [misc]none: (5.235172412726717e+152 3.9088394890922115e+223): 1 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86): 1 * [misc]none: (-2.4730898186525758e+92 1.1766044207630259e-195): 1 * [misc]none: (3.799449287593535e+246 -0.014763539181529813): 1 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134): 1 * [misc]none: (-8.950192398328319e-216 -2.304991300802574e+103): 1 * [misc]none: (1.2265182674709907e+198 3.136601910786915e+46): 5 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29): 1 * [misc]none: (4.1738948781395064e+263 4.319230432601922e-289): 1 * [misc]none: (1.878611753272109e+229 6.0910080487156845e-145): 1 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267): 1 * [misc]none: (-5.767560760391122e-80 3.087465078472461e-297): 1 * [misc]none: (11105828726598036.0 1.8641835944090122e-68): 4 * [misc]none: (4.082771820413304e+20 2.9298628929536803e-07): 1 * [misc]none: (-5.923298684844267e+94 2.112352033422511e-76): 0 * [misc]none: (-1.4985268459995148e-46 5.682432409793209e-103): 1 * [misc]none: (-2.927239517009746e+252 3.763740454339611e-154): 1 * [misc]none: (2.296991649120878e+37 3.5701416837580245e+199): 1 * [misc]none: (2.337605690906294e-85 -4.885442056107934e-227): 1 * [misc]none: (3.9227841234365035e+76 -3.356284453668777e-114): 1 * [misc]none: (4.984374966308376e+225 1.882765755995834e+18): 5 * [misc]none: (1.939469755263449e-274 2.0558821145728443e-244): 1 * [misc]none: (-1.1054341172121307e+140 -2.1503642873783828e+135): 1 * [misc]none: (7.118304679887613e-64 2.3966615634258388e-54): 1 * [misc]none: (-5.898930020082935e+214 -5.628195320915282e-68): 1 * [misc]none: (2.8183580936830136e+173 -3.0745109023049084e+38): 5 * [misc]none: (-2.745352039047204e+251 -3.2549065076282373e-223): 1 * [misc]none: (-2.9085637996437565e-109 -6.751934028520499e-153): 1 * [misc]none: (1.0609576781328471e-51 -2.9598382711916395e-27): 1 * [misc]none: (1.953450184014831e+240 1.9357477509582754e-93): 1 * [misc]none: (-3.868414697676859e-187 -7.980669295696735e+44): 1 * [misc]none: (127403.86295705284 -0.00034026123764188893): 1 * [misc]none: (-4.6106017244707195e+85 -1.107092798905617e+261): 1 * [misc]none: (-6.976081079926557e-283 -3.37039684741933e-178): 1 * [misc]none: (-2.4597612805403014e-225 -1.0732537067454568e+260): 1 * [misc]none: (3.703142739667792e+145 2.0217918620332625e-85): 0 * [misc]none: (5.6334012743355e-180 2.2204044591450003e+49): 3 * [misc]none: (-4.3610333217031953e+170 -5.0919585379789005e+258): 5 * [misc]none: (2.872174301870785e-238 -2.9327506918514952e+199): 1 * [misc]none: (-7.645827496994951e-25 5.725707728057964e+165): 5 * [misc]none: (-24848314.999854505 1.0486772986933419e+51): 1 * [misc]none: (2.885576028912994e-235 -4.494398935743406e-151): 1 * [misc]none: (1.6819327664275566e+227 2.7377399598585416e-269): 1 * [misc]none: (656785701220.522 -3.093221131514378e+260): 1 * [misc]none: (1.2391428993123195e-53 3.206221419912265e+51): 5 * [misc]none: (-9.565609472547322e-124 -7.966969819213301e-111): 0 * [misc]none: (-2.0310019187041234e+101 3.221198963762039e+166): 5 * [misc]none: (4.1941250065146804e+123 5.834035641946906e-257): 1 * [misc]none: (3.906362661689762e+158 -2.0517902863946083e-102): 1 * [misc]none: (-1.7127652241866663e-27 1.1525212824649757e+173): 0 * [misc]none: (2.1519168903719224e-48 -1.933548091484468e-204): 1 * [misc]none: (-1.947707196703237e+130 -1.2654394089404018e+152): 1 * [misc]none: (-1.9108430739228874e-168 2.5954317092090663e+188): 1 * [misc]none: (1.2296515355157788e+308 2.467422452934927e-37): 1 * [misc]none: (5.976566162781828e-262 4.0522267480412145e+189): 5 * [misc]none: (-4.452114039611652e-132 1.638426277474575e-287): 1 * [misc]none: (1.1394954880619105e+204 -1.9937829353717472e+136): 5 * [misc]none: (7.12002652771949e+38 -1.0864842934460505e-25): 0 * [misc]none: (-2.8684613953187015e+191 3.1888170814308676e+138): 1 * [misc]none: (-1.142257873712315e-49 -2.488397426951592e+85): 1 * [misc]none: (-3.0074667053035266e-198 7.549936203493533e-264): 1 * [misc]none: (-7.706007717334245e-133 -3.852230944737251e+125): 1 * [misc]none: (1.9142734474564412e+250 -2.669176676414129e+220): 1 * [misc]none: (-1.917715355857765e-213 -1.2153695779764702e-107): 0 * [misc]none: (-5.6718708555151934e-182 -6.791163764654487e+57): 3 * [misc]none: (1.2321306439728458e+129 -8.306263539762776e+107): 1 * [misc]none: (1.9978503540907537e+101 -36.06203897217008): 5 * [misc]none: (8.837317626991618e+153 -4.077199751463202e-279): 1 * [misc]none: (3.561052370274286e+222 -1.9803302250630132e+229): 1 * [misc]none: (-1.2602406432951942e+242 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1.0982823072397984e+136): 1 * [misc]none: (2.704077310435608e-253 3.1639399211332326e+205): 2 * [misc]none: (2.7511202385052856e-18 3.82956155404422e-299): 1 * [misc]none: (-3.302434769770763e+39 5.765366200121622e+260): 1 * [misc]none: (-8.2157022007629e-58 -7.731583384630845e+52): 2 * [misc]none: (-8.347536812100916e-44 -2.710750607360271e-260): 1 * [misc]none: (4.296582624822391e-200 1.733700273392293e+77): 5 * [misc]none: (-2.8582758774924267e-140 9.139158849230913e-305): 1 * [misc]none: (6.683383915725252e-271 1.830961252259433e-59): 1 * [misc]none: (-1.8390495199831918e+89 -1.7614646333235536e-68): 1 * [misc]none: (4.068667347744151e-179 8.630725328355339e+266): 1 * [misc]none: (2.0934780804159847e+108 -2.7764650204569527e-216): 1 * [misc]none: (-3.81685776062912e-89 3.853952974089327e-228): 1 * [misc]none: (-5.100815418059268e-90 6.487293944891719e+78): 1 * [misc]none: (6.009493492582987e-296 -1.157925061166081e-58): 1 * [misc]none: (-8.052164657329149e+249 4.0029288312831376e+229): 5 * [misc]none: (-5.689324367802329e-246 -3.807287600161903e+145): 5 * [misc]none: (-3.332016910782324e+143 -4.3909971879838963e-305): 1 * [misc]none: (1.1909630224861144e-308 -3.036973607447883e+181): 1 * [misc]none: (2.5976261349663673e+194 4.713564345937309e+51): 5 * [misc]none: (2.4339041047854203e+128 -2.930048407292739e-56): 1 * [misc]none: (4.807691125223642e+307 2.4189569765995642e+235): 5 * [misc]none: (-7.53205818877362e+171 -1.909975404033537e+22): 1 * [misc]none: (-8.943843456084399e+287 -6.427869387517747e-307): 1 * [misc]none: (9.212199844523645e-229 -1.2461956087023843e-38): 1 * [misc]none: (5.0806815187366375e+166 4.873854048773888e+106): 5 * [misc]none: (-9.778085318793345e+168 2.5837312003366534e+84): 1 * [misc]none: (1.2300916721937489e+185 5.9776582784273185e+256): 1 * [misc]none: (3.003386221248247e-77 7.613990227232114e-101): 1 * [misc]none: (1.4369290385678577e-161 -4.620016485271843e+275): 1 * [misc]none: (-1.8419406107088546e-16 -9.544921276384073e+204): 1 * [misc]none: (2.3887736368263357e-225 -6.168974554229468e-230): 1 * [misc]none: (2.116370076668309e-191 -6.052115395011814e+79): 0 * [misc]none: (-1.1883563404969162e-50 -2.3731320528329528e+163): 1 * [misc]none: (-6.903597812238514e-236 -2.3192639332694516e+265): 4 * [misc]none: (-5.512692835732493e+272 1.1142271720543672e-206): 1 * [misc]none: (-2.2649668876344433e+291 4.324852362991129e+210): 1 * [misc]none: (2.8003106991789085e-69 -3.912955183972641e-245): 1 * [misc]none: (7.640371856720311e+193 -4.2800304431808546e+195): 1 * [misc]none: (3.438873899519122e+171 1.8186504690640068e+223): 5 * [misc]none: (5.515506992492392e-277 2.595646488837273e-219): 1 * [misc]none: (-1.0403226659956264e-12 5.476456469319565e+77): 1 * [misc]none: (-1.6206847274577324e+56 9.915398041121362e+277): 6 * [misc]none: (3.108236652528406e-297 7.181266914182018e-165): 1 * [misc]none: (7.579416102405756e+264 -4.054936013280633e-214): 1 * [misc]none: (522133630.66589946 -5.931595524156171e-137): 1 * [misc]none: (7.707611608802171e+62 1.152518328416828e+180): 5 * [misc]none: (-1.9705021169080373e+98 8.804518541136453e+46): 1 * [misc]none: (1.1353295840851429e-96 -1.9487210599798821e-283): 1 * [misc]none: (-1.727133899069611e+273 2.347768069961951e-79): 1 * [misc]none: (7.595028648060239e-286 -1.7004214918492403e-195): 1 * [misc]none: (257428378187.19754 -2.9451802210491167e-226): 1 * [misc]none: (4.5690448860660455e-67 1.2792918576789026e+83): 0 * [misc]none: (-4.213852294319719e-45 1.0832199703372366e-253): 1 * [misc]none: (5.604819818947254e+274 -1.028098363509014e-206): 1 * [misc]none: (3.934156464498665e-121 1.9851718582837827e+233): 0 * [misc]none: (9.235262766535639e+122 -1.5161407061059675e+185): 1 * [misc]none: (-2.030003858554109e-299 3.5865707327746786e+87): 3 * [misc]none: (2797.2682494851097 5.51985688247549e+99): 1 * [misc]none: (0.0005921945720183679 2.8115284450926948e-120): 1 * [misc]none: (3.040239018351611e+113 -1.974683671133818e+111): 1 * [misc]none: (-1.4914047823213697e-303 -5.51972060484157e-206): 1 * [misc]none: (-1.0101892530174619e+296 -5.733715992923197e+208): 1 * [misc]none: (-2.222084476892157e-27 -393138236424.23865): 0 * [misc]none: (2.5144530485773557e+177 3.96896356073862e+48): 1 * [misc]none: (2.9394468165964015e-257 1.5225460242504859e+106): 1 * [misc]none: (3.271929098149761e-144 7.5398414005163625e+267): 0 * [misc]none: (-6.387676171006472e+84 3.0718166030691505e-80): 0 * [misc]none: (-3.665096485975149e+155 2.7947853767132536e+32): 5 * [misc]none: (-1.2938315808507242e+196 -1.1522295036639537e+302): 6 * [misc]none: (-117.59108153326831 -4.4926466776048186e+89): 1 * [misc]none: (6.604350361119279e-291 3.861477555295976e-66): 1 * [misc]none: (-507178.2418848363 7.835819247789118e-215): 1 * [misc]none: (-1.7331826939437403e-32 1.5041078345043152e-175): 1 * [misc]none: (2.258908512758085e+234 -7.5213132710662e-74): 1 * [misc]none: (-4.1351572114392246e+117 3.0457736919219457e-222): 1 * [misc]none: (-1.1587029546828107e-151 1.818346644833882e+103): 5 * [misc]none: (-2.4216252182489007e-26 -3.615519023936547e+188): 1 * [misc]none: (6.35238923971634e+290 -1.4390028162741748e-46): 1 * [misc]none: (8.124998850854922e-91 2.0152844845402166e-297): 1 * [misc]none: (265212451397.2795 -1.5477439511635874e+23): 5 * [misc]none: (8.604490187894414e-112 1.3704041407198253e+228): 1 * [misc]none: (1.1753499799973743e-97 -1.4789327900215312e-68): 1 * [misc]none: (1.7699153793529457e-292 -1.4258769564549258e-208): 1 * [misc]none: (-2.318323686204338e+235 -7.278263595880122e-193): 1 * [misc]none: (1.251913240849315e+217 -2.126351281480013e-88): 1 * [misc]none: (2.371904740187568e+215 4.1993878019740277e-286): 1 * [misc]none: (-7.778058147879301e+138 -1.5613876912499225e+57): 1 * [misc]none: (-2.816411430587057e+286 3.5802854801244576e+55): 1 * [misc]none: (-3.566909098618378e+32 -0.00023602766722364432): 1 * [misc]none: (-2.1146724245698338e+207 -4.006330508771236e-123): 1 * [misc]none: (9.292763926817302e+57 1.3228826725861251e-83): 1 * [misc]none: (-1.319380347151282e-215 1.1326695724237201e-117): 1 * [misc]none: (-1.8288429241916153e+264 6.748137222255588e+45): 1 * [misc]none: (-8.371049225414236e+76 -5.042430010818784e+82): 1 * [misc]none: (-6.58152168542326e+160 -1.1202684605817512e+211): 1 * [misc]none: (1.6519797365083582e+195 6.316732900885901e+249): 1 * [misc]none: (2.0115496002781107e-145 7.084575776306543e+174): 5 * [misc]none: (-6.996014108998747e+142 1.7737783369503947e+103): 1 * [misc]none: (-26916528204053.027 -2.7349284820526125e-289): 1 * [misc]none: (-4.638442307697248e+114 -1.2114717555632667e+188): 5 * [misc]none: (1.0468500326593331e+288 -4.7463128935226076e+86): 6 * [misc]none: (2.5502245720775025e+302 3.7105227033705403e+214): 1 * [misc]none: (6.470477944325298e+178 1.8862750447266752e-53): 1 * [misc]none: (1310698.3491744497 3.0319757073152243e-73): 1 * [misc]none: (3.46946296425657e-151 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-5.434332993935807e-16): 1 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 1 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 1 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 1 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 1 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 1 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 1 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 5 * [misc]none: All alt indexes * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))))): 0 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))))): 1 * [misc]none: (λ (x eps) (* 2 (* (* (cbrt (sin (/ eps 2))) (cbrt (sin (/ eps 2)))) (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))): 2 * 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(2.0761365520526402e+80 -6.136769236604219e-245): 1 * [misc]none: (-1.5184287807448694e-256 -1.3976588779064603e+293): 5 * [misc]none: (1.3062346782022677e+257 9.20482191500962e-294): 1 * [misc]none: (6.826390525782658e-164 -3179958068150.7544): 1 * [misc]none: (1.4517955555700533e-57 3.278760905350017e+239): 5 * [misc]none: (9.448180626697868e+306 -6.624186711279531e-158): 1 * [misc]none: (-7.369494770670741e+183 -2.28428829200312e-74): 1 * [misc]none: (-8.192986595596162e+26 6.319063013887454e-198): 0 * [misc]none: (1.207285968110896e+80 4.013577168037153e-101): 4 * [misc]none: (-5.9357220490245764e-15 -5.676958885462958e+98): 1 * [misc]none: (-1.423411965411883e-294 1.5130621813503031e-75): 1 * [misc]none: (-1.4103125294629063e+264 -3.3795898713138266e-300): 3 * [misc]none: (-8.397564680171817e-171 -5.030258942894069e-286): 0 * [misc]none: (7.700703882618771e-282 -4.182069781177431e-143): 0 * [misc]none: (3.8976396927163173e-162 -4.334942407090635e-248): 1 * [misc]none: (1.617089240788084e+57 -5.434332993935807e-16): 1 * [misc]none: (9.422179697047065e-164 1.3639040980897921e-39): 1 * [misc]none: (2.8344220272269968e+166 1.5252878664938466e+85): 1 * [misc]none: (-9.984474929047259e+64 2.4497413502625085e-301): 1 * [misc]none: (1.9836536473017196e-256 6.844414014257645e+204): 1 * [misc]none: (-2.745577558419473e+262 4.197945065460401e+200): 1 * [misc]none: (2.7441626242764893e-109 1.3124014990461878e+131): 1 * [misc]none: (9.831378161148447e+43 -1.1588173534983495e+33): 5 * [misc]none: Picked alt (λ (x eps) (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 1 (cos x)) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 0) (* 0 (cos x))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (sin x)))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (cos x)))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (sin x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (cos x)))) (+ (* 1/2 (- (* 1/2 (sin x)))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/8) 0) (* 0 (cos x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* (- 1/48) (sin x))))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (- (* 1/8 (cos x)))) (+ (* 0 (- (* 1/2 (sin x)))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) (cos (/ 1 x))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (/ 1 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) into (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (- (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 1) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 eps)) 0) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 eps))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) into (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (- (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (* (sin (/ 1/2 eps)) (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps))))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1/2 (/ 1 eps))) (- (* (cos (/ 1 (/ 1 x))) (cos (/ 1/2 (/ 1 eps)))) (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 eps)))))) into (* (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) into (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (- (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 1) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 eps)) 0) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) into (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (- (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (* (sin (/ -1/2 eps)) (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) 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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x))))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1/2 (/ 1 (- eps)))) (- (* (cos (/ -1 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- eps))))) (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (/ -1 (/ 1 (- x))))))) into (* (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (sin x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* (- 1/48) (sin x))))) into (- (* 1/48 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/48 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/48 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/48 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* (- 1/48) 0) (* 0 (sin x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* x eps)) into (* 1/2 (* eps x)) * [misc]approximate: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (/ 1 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 eps))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 eps))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 eps)))) into (* (sin x) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (/ -1 (/ 1 (- x))))) into (* (sin x) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 1 (cos x)) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 0) (* 0 (cos x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (cos x)))) into (- (* 1/8 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (* x 1) 2)) (+ (* -1/8 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) (cos (/ 1 x))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 1) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 eps)) 0) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1/2 eps)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 eps))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 (/ 1 x))) (cos (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 eps)) (cos x)) * [misc]approximate: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 1) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 eps)) 0) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1/2 eps)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 eps))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 eps)) (cos x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in x * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (* 1/2 eps) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 eps)) (cos x)) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 1 (cos x)) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* 0 (sin x)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 0) (* 0 (cos x))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (sin x))) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 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 (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/8) (cos x)))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (sin x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/8 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* x eps)) (+ (* -1/8 (pow (* 1 eps) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))) * [misc]approximate: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 eps)) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 eps))) (cos (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 eps))) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 eps))) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) (cos (/ 1 x))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (sin (/ 1 x))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) into (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (- (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 1) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 eps)) 0) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1/2 eps))) into (* (cos (/ 1 x)) (cos (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1/2 eps))) into (* (sin (/ 1 x)) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) into (- (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (- (* (sin (/ 1 x)) (sin (/ 1/2 eps))))) into (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) into (- (* (cos (/ 1 x)) (cos (/ 1/2 eps))) (* (sin (/ 1 x)) (sin (/ 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (sin (/ 1 x)))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 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 (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)) 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]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ 1 (/ 1 x))) (cos (/ 1/2 (/ 1 eps)))) (* (sin (/ 1 (/ 1 x))) (sin (/ 1/2 (/ 1 eps))))) into (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))) * [misc]approximate: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 eps)) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x))))) in eps * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ 1 (- eps)))) (cos (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ 1 (- eps)))) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ 1 (- eps)))) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) (cos (/ -1 x))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) into (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (- (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 x)) (cos (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1/2 eps)) (sin (/ -1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in x * [misc]taylor: Taking taylor expansion of (/ -1 x) in x * [misc]taylor: Taking taylor expansion of -1 in x * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 1) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 eps)) 0) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1/2 eps))) into (* (cos (/ -1 x)) (cos (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (sin (/ -1 x))) into (* (sin (/ -1/2 eps)) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) into (- (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (- (* (sin (/ -1/2 eps)) (sin (/ -1 x))))) into (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) into (- (* (cos (/ -1 x)) (cos (/ -1/2 eps))) (* (sin (/ -1/2 eps)) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (sin (/ -1 x)))) 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 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 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 (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) 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 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)) 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]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) 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 x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ -1 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- eps))))) (* (sin (/ -1/2 (/ 1 (- eps)))) (sin (/ -1 (/ 1 (- x)))))) into (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (+ (log (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x)))) (log (sin (/ eps 2)))) * [exit]simplify: Simplified to (+ (log (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x)))) (log (sin (/ eps 2)))) * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (log (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))) * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (* (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))) (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (pow (sin (/ eps 2)) 3))) * [exit]simplify: Simplified to (* (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))) (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (pow (sin (/ eps 2)) 3))) * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) (cbrt (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) (cbrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) (cbrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (pow (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2)))) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (cos x) (cos (* eps 1/2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cos x) (cos (* eps 1/2))) (sin (/ eps 2))) * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (- (sin (/ eps 2))) (* (sin x) (sin (* eps 1/2)))) * [exit]simplify: Simplified to (* (- (sin (/ eps 2))) (* (sin x) (sin (* eps 1/2)))) * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (cos x) (cos (* eps 1/2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cos x) (cos (* eps 1/2))) (sin (/ eps 2))) * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (- (sin (/ eps 2))) (* (sin x) (sin (* eps 1/2)))) * [exit]simplify: Simplified to (* (- (sin (/ eps 2))) (* (sin x) (sin (* eps 1/2)))) * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (* 1/2 eps)) (cos x)) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (* (sin (/ eps 2)) (cos x))) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (* (sin (/ eps 2)) (cos x))) * [enter]simplify: Simplifying (* (- (* (sin (* 1/2 eps)) (sin x))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) (sin (* eps 1/2))) (- (sin x))) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) (sin (* eps 1/2))) (- (sin x))) * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (* 1/2 eps)) (cos x)) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (* (sin (/ eps 2)) (cos x))) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (* (sin (/ eps 2)) (cos x))) * [enter]simplify: Simplifying (* (- (* (sin (* 1/2 eps)) (sin x))) (sin (/ eps 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) (sin (* eps 1/2))) (- (sin x))) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) (sin (* eps 1/2))) (- (sin x))) * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) (cbrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))) (* (sin (/ eps 2)) (cbrt (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))))) * [exit]simplify: Simplified to (* (cbrt (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))) (* (sin (/ eps 2)) (cbrt (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2))))))) * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))))) * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x))) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x))) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x))) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* 1/2 eps))) (* (sin (* 1/2 eps)) (sin x))) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (+ (cos (+ (* 1/2 eps) x)) (cos (- (* 1/2 eps) x))) (- (cos (- (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (+ (* (sin (/ eps 2)) (cos (+ x (* eps 1/2)))) (* (sin (/ eps 2)) (cos (+ x (* eps 1/2))))) * [exit]simplify: Simplified to (+ (* (sin (/ eps 2)) (cos (+ x (* eps 1/2)))) (* (sin (/ eps 2)) (cos (+ x (* eps 1/2))))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (+ (cos (+ (* 1/2 eps) x)) (cos (- (* 1/2 eps) x))) 2) (* 2 (- (cos (- (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (+ (cos (+ x (* eps 1/2))) (+ 0 (cos (+ x (* eps 1/2)))))) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (+ (cos (+ x (* eps 1/2))) (+ 0 (cos (+ x (* eps 1/2)))))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (pow (* (cos (* 1/2 eps)) (cos x)) 3) (pow (* (sin (* 1/2 eps)) (sin x)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (- (* (pow (cos (* eps 1/2)) 3) (* (sin (/ eps 2)) (pow (cos x) 3))) (* (* (pow (sin x) 3) (sin (/ eps 2))) (pow (sin (* eps 1/2)) 3))) * [exit]simplify: Simplified to (- (* (pow (cos (* eps 1/2)) 3) (* (sin (/ eps 2)) (pow (cos x) 3))) (* (* (pow (sin x) 3) (sin (/ eps 2))) (pow (sin (* eps 1/2)) 3))) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (* (cos (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (cos x))) (* (* (sin (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (- (* (* (sin (/ eps 2)) (cos (* eps 1/2))) (* (* (cos x) (cos x)) (cos (* eps 1/2)))) (* (* (sin (/ eps 2)) (sin (* eps 1/2))) (* (sin (* eps 1/2)) (* (sin x) (sin x))))) * [exit]simplify: Simplified to (- (* (* (sin (/ eps 2)) (cos (* eps 1/2))) (* (* (cos x) (cos x)) (cos (* eps 1/2)))) (* (* (sin (/ eps 2)) (sin (* eps 1/2))) (* (sin (* eps 1/2)) (* (sin x) (sin x))))) * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (cos (- (* eps 1/2) x)) (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (- (cos (- (* eps 1/2) x)) (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sin x)) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sin x)) * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (* 1/2 eps))) (log (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin (* eps 1/2)))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin (* eps 1/2)))) * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (sin (* eps 1/2)) (sin x))) * [exit]simplify: Simplified to (log (* (sin (* eps 1/2)) (sin x))) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (* (sin (* eps 1/2)) (sin x))) * [exit]simplify: Simplified to (exp (* (sin (* eps 1/2)) (sin x))) * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (* 1/2 eps)) (sin (* 1/2 eps))) (sin (* 1/2 eps))) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (pow (* (sin (* eps 1/2)) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin (* eps 1/2)) (sin x)) 3) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (* 1/2 eps)) (sin x))) (cbrt (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin (* eps 1/2)) (sin x))) (cbrt (* (sin (* eps 1/2)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (sin (* eps 1/2)) (sin x))) (cbrt (* (sin (* eps 1/2)) (sin x)))) * [enter]simplify: Simplifying (cbrt (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (sin (* eps 1/2)) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin (* eps 1/2)) (sin x))) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (sin x))) (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (* (sin (* eps 1/2)) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin (* eps 1/2)) (sin x)) 3) * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (* eps 1/2)) (sin x))) * [exit]simplify: Simplified to (sqrt (* (sin (* eps 1/2)) (sin x))) * [enter]simplify: Simplifying (sqrt (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (sin (* eps 1/2)) (sin x))) * [exit]simplify: Simplified to (sqrt (* (sin (* eps 1/2)) (sin x))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 eps)) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (* (cbrt (sin x)) (cbrt (sin x)))) * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 eps)) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sqrt (sin x))) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sqrt (sin x))) * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 eps)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sin (* eps 1/2)) * [exit]simplify: Simplified to (sin (* eps 1/2)) * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (* 1/2 eps))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (* eps 1/2))) (sin x)) * [exit]simplify: Simplified to (* (cbrt (sin (* eps 1/2))) (sin x)) * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (* 1/2 eps))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (* eps 1/2))) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin (* eps 1/2))) (sin x)) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sin x)) * [exit]simplify: Simplified to (* (sin (* eps 1/2)) (sin x)) * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cos (+ (* 1/2 eps) x)) (cos (- (* 1/2 eps) x))) * * [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 (+ (cos (+ x (* eps 1/2))) (cos (- (* eps 1/2) x))) * [exit]simplify: Simplified to (+ (cos (+ x (* eps 1/2))) (cos (- (* eps 1/2) x))) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (cos x)) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (cos x)) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos (* 1/2 eps))) (log (cos x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (log (cos x)) (log (cos (* eps 1/2)))) * [exit]simplify: Simplified to (+ (log (cos x)) (log (cos (* eps 1/2)))) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (cos (* eps 1/2)) (cos x))) * [exit]simplify: Simplified to (log (* (cos (* eps 1/2)) (cos x))) * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (* (cos (* eps 1/2)) (cos x))) * [exit]simplify: Simplified to (exp (* (cos (* eps 1/2)) (cos x))) * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (* 1/2 eps)) (cos (* 1/2 eps))) (cos (* 1/2 eps))) (* (* (cos x) (cos x)) (cos x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (pow (* (cos (* eps 1/2)) (cos x)) 3) * [exit]simplify: Simplified to (pow (* (cos (* eps 1/2)) (cos x)) 3) * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos (* 1/2 eps)) (cos x))) (cbrt (* (cos (* 1/2 eps)) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (* eps 1/2)) (cos x))) (cbrt (* (cos (* eps 1/2)) (cos x)))) * [exit]simplify: Simplified to (* (cbrt (* (cos (* eps 1/2)) (cos x))) (cbrt (* (cos (* eps 1/2)) (cos x)))) * [enter]simplify: Simplifying (cbrt (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (* eps 1/2)) (cos x))) * [exit]simplify: Simplified to (cbrt (* (cos (* eps 1/2)) (cos x))) * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (cos x))) (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (* (cos (* eps 1/2)) (cos x)) 3) * [exit]simplify: Simplified to (pow (* (cos (* eps 1/2)) (cos x)) 3) * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (* eps 1/2)) (cos x))) * [exit]simplify: Simplified to (sqrt (* (cos (* eps 1/2)) (cos x))) * [enter]simplify: Simplifying (sqrt (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (* eps 1/2)) (cos x))) * [exit]simplify: Simplified to (sqrt (* (cos (* eps 1/2)) (cos x))) * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 eps)) (* (cbrt (cos x)) (cbrt (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (* (cbrt (cos x)) (cbrt (cos x)))) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (* (cbrt (cos x)) (cbrt (cos x)))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 eps)) (sqrt (cos x))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (sqrt (cos x))) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (sqrt (cos x))) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 eps)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cos (* eps 1/2)) * [exit]simplify: Simplified to (cos (* eps 1/2)) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (* 1/2 eps))) (cos x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (* eps 1/2))) (cos x)) * [exit]simplify: Simplified to (* (cbrt (cos (* eps 1/2))) (cos x)) * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos (* 1/2 eps))) (cos x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (* eps 1/2))) (cos x)) * [exit]simplify: Simplified to (* (sqrt (cos (* eps 1/2))) (cos x)) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 1/2 eps)) (cos x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (cos x)) * [exit]simplify: Simplified to (* (cos (* eps 1/2)) (cos x)) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (cos (* 1/2 eps)) (cos x))) (exp (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (exp (- (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x)))) * [exit]simplify: Simplified to (exp (- (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x)))) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (log (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * [exit]simplify: Simplified to (log (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (pow (exp (cos x)) (cos (* eps 1/2))) (pow (exp (sin x)) (sin (* eps 1/2)))) * [exit]simplify: Simplified to (/ (pow (exp (cos x)) (cos (* eps 1/2))) (pow (exp (sin x)) (sin (* eps 1/2)))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) (cbrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) (cbrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))))) * [exit]simplify: Simplified to (* (cbrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) (cbrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))))) * [enter]simplify: Simplifying (cbrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * [exit]simplify: Simplified to (cbrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * [exit]simplify: Simplified to (pow (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))) 3) * [exit]simplify: Simplified to (pow (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2)))) 3) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * [exit]simplify: Simplified to (sqrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * [enter]simplify: Simplifying (sqrt (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * [exit]simplify: Simplified to (sqrt (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (cos (+ (* 1/2 eps) x)) (cos (- (* 1/2 eps) x))) (- (cos (- (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (+ (cos (+ x (* eps 1/2))) (cos (+ x (* eps 1/2)))) * [exit]simplify: Simplified to (+ (cos (+ x (* eps 1/2))) (cos (+ x (* eps 1/2)))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (cos (+ (* 1/2 eps) x)) (cos (- (* 1/2 eps) x))) 2) (* 2 (- (cos (- (* 1/2 eps) x)) (cos (+ (* 1/2 eps) x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (+ 2 2)) * [exit]simplify: Simplified to (* (cos (+ x (* eps 1/2))) (+ 2 2)) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* 2 2) * [exit]simplify: Simplified to (* 2 2) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (cos (* 1/2 eps)) (cos x)) 3) (pow (* (sin (* 1/2 eps)) (sin x)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (- (pow (* (cos (* eps 1/2)) (cos x)) 3) (pow (* (sin x) (sin (* eps 1/2))) 3)) * [exit]simplify: Simplified to (- (pow (* (cos (* eps 1/2)) (cos x)) 3) (pow (* (sin x) (sin (* eps 1/2))) 3)) * [enter]simplify: Simplifying (+ (* (* (cos (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (cos x))) (+ (* (* (sin (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (sin x))) (* (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (+ (* (* (sin (* eps 1/2)) (sin x)) (* (sin (* eps 1/2)) (sin x))) (* (+ (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x))) (* (cos (* eps 1/2)) (cos x)))) * [exit]simplify: Simplified to (+ (* (* (sin (* eps 1/2)) (sin x)) (* (sin (* eps 1/2)) (sin x))) (* (+ (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x))) (* (cos (* eps 1/2)) (cos x)))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (- (sin x)) (sin (* eps 1/2))) * [exit]simplify: Simplified to (* (- (sin x)) (sin (* eps 1/2))) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cos (* 1/2 eps)) (cos x)) (* (cos (* 1/2 eps)) (cos x))) (* (* (sin (* 1/2 eps)) (sin x)) (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (* (+ (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x))) (- (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x)))) * [exit]simplify: Simplified to (* (+ (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x))) (- (* (cos (* eps 1/2)) (cos x)) (* (sin (* eps 1/2)) (sin x)))) * [enter]simplify: Simplifying (+ (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (* (sin x) (sin (* eps 1/2))) (* (cos (* eps 1/2)) (cos x))) * [exit]simplify: Simplified to (+ (* (sin x) (sin (* eps 1/2))) (* (cos (* eps 1/2)) (cos x))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (* 1/2 eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (- (sin x)) (sin (* eps 1/2))) * [exit]simplify: Simplified to (* (- (sin x)) (sin (* eps 1/2))) * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (- (* eps (* 1/2 2)) (* (+ (* eps 1/12) (* x 1/4)) (* eps (* 2 eps)))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (* (sin (* eps 1/2)) 2) (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (* (sin (* eps 1/2)) 2) (- (* (cos (* eps 1/2)) (cos x)) (* (sin x) (sin (* eps 1/2))))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* 1/2 (* eps x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (* eps 1/2) x)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin (* eps 1/2)) (sin x))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin (* eps 1/2)) (sin x))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow eps 2)))) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (* (- (- 1 (* (* eps eps) 1/8)) (+ (* (sin x) (sin (* 1/2 eps))) (* x (* x 1/2)))) (* 2 (sin (/ eps 2)))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin (* 1/2 eps)) (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/8 (pow eps 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (- (* 2 (sin (/ eps 2))) (* (* 2 (sin (/ eps 2))) (* eps (+ (* x 1/2) (* 1/8 eps))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin (* eps 1/2)) (sin x))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- (* (cos (* 1/2 eps)) (cos x)) (* (sin x) (sin (* 1/2 eps)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (366 enodes) * [exit]simplify: Simplified to (* (- (* (cos x) (cos (* eps 1/2))) (* (sin (* eps 1/2)) (sin x))) (* (sin (/ eps 2)) 2)) * * * [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 (- (sin (+ x eps)) (sin x)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cos (* 1/2 eps)) (cos x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (* (cos x) (cos (* eps 1/2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cos x) (cos (* eps 1/2))) (sin (/ eps 2))) * [enter]simplify: Simplifying (* (sin (/ eps 2)) (- (* (sin (* 1/2 eps)) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (- (sin (/ eps 2))) (* (sin x) (sin (* eps 1/2)))) * [exit]simplify: Simplified to (* (- (sin (/ eps 2))) (* (sin x) (sin (* eps 1/2)))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs