* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * [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 (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt 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-2.2703690062482775e+164): 0 * [misc]none: (-8.77548775797455e+172 -2.953800495378965e-185 3.870739942634173e-139): 0 * [misc]none: (-1.0335297311623262e+153 -1.0263706925056152e-249 1.615918809269244e+209): 0 * [misc]none: (1.9096457596516137e+301 1.285043823429664e-88 -4.1407670678161526e-11): 0 * [misc]none: (-2.4804687032456895e-225 5.105992271675965e-91 4.769518420383615e-198): 0 * [misc]none: (-3.5622929425677944e-109 -2.7946692723705945e+174 8.013001070680621e+165): 0 * [misc]none: (-2.1859795545483963e-144 -2.982416606803992e+124 -1.9978600113133076e-197): 0 * [misc]none: (-2.899343562593569e+210 4.84745635532208e+98 6.798513332593515e-94): 0 * [misc]none: (1.4806341275368096e-15 5.186987197606439e-95 -3.948886659836771e-181): 0 * [misc]none: (-9.250307946645505e-57 3.414355778600799e+86 7.092462729213457e+106): 0 * [misc]none: (9.166563210335683e-100 6.272380368196269e-197 -6.781422288183296e+92): 0 * [misc]none: (-9.196434930110912e-08 1.6177744768864245e+282 3.821526442421431e+297): 0 * [misc]none: (1.2464063226445322e+209 -1.3504311949528837e+242 -7.683631295648835e+161): 0 * [misc]none: (-3.997830492939672e-176 -4.036402810535891e+74 -3.789980982823413e-182): 0 * [misc]none: (2.915155243878121e+282 -1.4096869899413683e+225 1.2469806285072402e-28): 0 * [misc]none: (1.1844921910801158e+211 2.7685178515126097e-185 1.169454058782927e-202): 0 * [misc]none: (-540424531888229.56 -3.937927881353232e-157 -1.432608055217829e+250): 0 * [misc]none: (-1.5193627802291947e+307 2.497681663913315e-296 -4.8388629739479836e+247): 0 * [misc]none: (5.521389771339527e+153 -4.661924852546912e-292 8.47938869933868e+153): 0 * [misc]none: (-1.3324704636421386e-59 5.401961492129079e+54 -6.2922046386341625e+175): 0 * [misc]none: (-3.331766816311546e-252 1.09010428308076e-124 6.739673456854575e+249): 0 * [misc]none: (0.36218343358512595 1.1084878850555635e+104 4.657146692902141e+280): 0 * [misc]none: (1.9733854398064837e+215 -1.0042838221053661e+118 2.748984383306802e-298): 0 * [misc]none: (4.052441720111469e+253 -1.5553945248174213e-46 -3.363214862937172e+152): 0 * [misc]none: (1.0943834228645564e-283 -5.494530578973757e-273 7.711144009199052e+59): 0 * [misc]none: (-2.887337594448413e-244 7.113635611234131e-284 -1.7256170230599765e-276): 0 * [misc]none: (-2.7798817180262955e-129 5.412740199293554e+26 6.234082350070098e+32): 0 * [misc]none: (-1.224114602121665e+244 1.7016584363366214e+224 3.1548761384348172e-109): 0 * [misc]none: (-1.0452069274089637e-179 9.821958098168882e-306 -1.8006808580074765e-143): 0 * [misc]none: (-2.8330265484926295e+125 2.345983975142507e+17 -2.746367752660865e-257): 0 * [misc]none: (-1.3522250564344336e-293 4.6470678617289796e+64 -1.5868324242939948e+125): 0 * [misc]none: (19456252.47135729 2.2232805721846523e-265 6.4866276434875264e+44): 0 * [misc]none: (3.175834271419552e+52 5.372727824328137e-28 -1.3152180852094354e-41): 0 * [misc]none: (-8.008209672192056e+31 5.651538156817781e-179 127453.31416225288): 0 * [misc]none: (4.8458035413918555e-285 -4.5482257545235974e-154 3.335728987744612e+103): 0 * [misc]none: (4.5943761374208534e-275 -1.3098416711382507e-225 1.0704348800720866e-142): 0 * [misc]none: (-5.8341558734907335e-177 1.4232029738127867e+25 -1.4759499190448393e+240): 0 * [misc]none: (9.151015091612054e-197 1.6592153710205133e-269 2.8067853342065496e-36): 0 * [misc]none: (-49241431095.91979 6.922703552766224e-109 7.522858670517918e+259): 0 * [misc]none: (11457790396.152245 -8.659425598701502e-239 1.5842409508887248e+187): 0 * [misc]none: (1.8800714745176597e+114 -5.784819395691441e-72 1.674827311439142e-232): 0 * [misc]none: Picked alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 J) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 J) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 J) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 1) (* 0 0)) into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -2 (cos (* 1/2 K)))) into (- (* 2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (- (* 2 (cos (* 1/2 K)))) (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ U (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ U (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ U (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (/ U 1) into U * [misc]backup-simplify: Simplify (* 1/2 U) into (* 1/2 U) * [misc]backup-simplify: Simplify (log (* 1/2 U)) into (log (* 1/2 U)) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 U)) (- (log J))) into (- (log (* 1/2 U)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 U)) (log J))) into (* 2 (- (log (* 1/2 U)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 U)) (log J)))) into (exp (* 2 (- (log (* 1/2 U)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log (* 1/2 U)) (log J)))) 1) into (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* U (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 U) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 U)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 U)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) into (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 U)) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 U)) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 U)) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (* 1/2 U)) in U * [misc]taylor: Taking taylor expansion of (* 1/2 U) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of U in U * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) into (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) into (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) * [misc]backup-simplify: Simplify (- (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of 0 in U * [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) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))) (* 0 (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* -2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (* 2 (cos (* 1/2 K)))) 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 U)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) (* 1 (* 1 J))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* -2 1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* (* -2 (cos (/ 1/2 K))) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) U) into (* (cos (/ 1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ 1/2 K)) U)) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ 1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ 1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ 1/2 K))))) into (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ 1/2 K)))) (log U)) (log J)) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* -2 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)) (* 0 (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))) (* 0 (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 (cos (/ 1/2 K))) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ 1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* (cos (/ 1/2 K)) U))) (* 0 (/ 0 (* (cos (/ 1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (* (cos (/ 1/2 (/ 1 K))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * [misc]approximate: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (J K U) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* -2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* -2 -1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* (* 2 (cos (/ -1/2 K))) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U) * [misc]backup-simplify: Simplify (/ 1/2 (* (cos (/ -1/2 K)) U)) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 U)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) in U * [misc]taylor: Taking taylor expansion of (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) in U * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (/ -1/2 K)) U))) in U * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (/ -1/2 K)) U)) in U * [misc]taylor: Taking taylor expansion of 1/2 in U * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in U * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in U * [misc]taylor: Taking taylor expansion of -1/2 in U * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 K)) 1) (* 0 0)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (/ 1/2 (cos (/ -1/2 K))))) into (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1/2 (cos (/ -1/2 K)))) (log U)) (log J)) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 2 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 K)) 0) (* 0 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))) (* 0 (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))) (* 0 (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* -2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (cos (/ -1/2 K))) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 U))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (cos (/ -1/2 K)) U)) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* (cos (/ -1/2 K)) U))) (* 0 (/ 0 (* (cos (/ -1/2 K)) U))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow J 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow J 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (* (cos (/ -1/2 (/ 1 (- K)))) (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) into (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) into (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify 2 into 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 (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 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 (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* 1 J)) into (* 2 J) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]taylor: Taking taylor expansion of (* 2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) 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 (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]approximate: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in (J K) around 0 * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]taylor: Taking taylor expansion of (* -2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) 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 (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* 2 (* (cos (* 1/2 K)) J)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2))))) * [exit]simplify: Simplified to (+ (log (sqrt (+ 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) (log (* (* J -2) (cos (/ K 2))))) * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (pow (pow (exp (* J -2)) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))) (* (* (cos (/ K 2)) (pow (* J -2) 3)) (* (cos (/ K 2)) (cos (/ K 2))))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* J -2) (cos (/ K 2))) 3)) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) (pow (* (* J -2) (cos (/ K 2))) 3)) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* (sqrt 1) (* J -2)) (cos (/ K 2))) * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* J -2)) * [exit]simplify: Simplified to (* (cos (/ K 2)) (* J -2)) * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) (cos (/ K 2))) * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 3))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)))) (* (* J -2) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 40 / 79 ] 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 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [enter]simplify: Simplifying (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (cbrt (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [enter]simplify: Simplifying (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * [exit]simplify: Simplified to (/ (/ U (* J 2)) (cos (/ K 2))) * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (pow U 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* U U) * [exit]simplify: Simplified to (* U U) * [enter]simplify: Simplifying (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 (* J 2)) (cos (/ K 2))) (/ (/ 1 (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (/ (/ 1 (* J 2)) (cos (/ K 2))) (/ (/ 1 (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * [exit]simplify: Simplified to (* (log (/ (/ U (* J 2)) (cos (/ K 2)))) 2) * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (exp (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (exp (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) * [enter]simplify: Simplifying (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))) * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 3) * [exit]simplify: Simplified to (pow (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 3) * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (fabs (/ (/ U (* J 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (cos (/ K 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (* (* J 2) (cos (/ K 2))) * [exit]simplify: Simplified to (* (* J 2) (cos (/ K 2))) * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 2 J)) (log (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (* J 2)) (log (cos (/ K 2)))) * [exit]simplify: Simplified to (+ (log (* J 2)) (log (cos (/ K 2)))) * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (log (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (log (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (exp (+ J J)) (cos (/ K 2))) * [exit]simplify: Simplified to (pow (exp (+ J J)) (cos (/ K 2))) * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (* 2 J)) (* 2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (pow (* J 2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (pow (* J 2) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* 2 J) (cos (/ K 2)))) (cbrt (* (* 2 J) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) * [exit]simplify: Simplified to (* (cbrt (* (* J 2) (cos (/ K 2)))) (cbrt (* (* J 2) (cos (/ K 2))))) * [enter]simplify: Simplifying (cbrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (cbrt (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 2 J) (cos (/ K 2))) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (pow (* (* J 2) (cos (/ K 2))) 3) * [exit]simplify: Simplified to (pow (* (* J 2) (cos (/ K 2))) 3) * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [enter]simplify: Simplifying (sqrt (* (* 2 J) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * [exit]simplify: Simplified to (sqrt (* (* J 2) (cos (/ K 2)))) * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) * [exit]simplify: Simplified to (* (* 2 (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) J)) * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) (sqrt (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (* J 2) (sqrt (cos (/ K 2)))) * [exit]simplify: Simplified to (* (* J 2) (sqrt (cos (/ K 2)))) * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 J) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* J 2) * [exit]simplify: Simplified to (* J 2) * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* J (cos (/ K 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * [exit]simplify: Simplified to (* J (cos (/ K 2))) * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (/ (* 1/2 U) J) (/ (* 1/2 U) J)) 1))) * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 70 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1))) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) J)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * [exit]simplify: Simplified to (* (* -2 J) (sqrt (+ (* (* U (/ 1/2 J)) (* U (/ 1/2 J))) 1))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J))) (* (/ 1/2 (cos (* K 1/2))) (* U (/ 1 J)))) 1)) (* (* J -2) (cos (* K 1/2)))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* -2 (* (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) (* (cos (* 1/2 K)) J))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (* (* (cos (* K 1/2)) (* -2 J)) (sqrt (+ 1 (* (* (/ 1/2 (cos (* K 1/2))) (/ (/ -1 J) (/ -1 U))) (* (/ 1/2 (cos (* K 1/2))) (/ (/ -1 J) (/ -1 U))))))) * * * * [misc]progress: [ 74 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)) 1))) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2)))) (* (* U (/ 1 J)) (/ 1/2 (cos (* K 1/2))))))) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (* (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K)))) (* (/ (/ -1 J) (/ -1 U)) (/ 1/2 (cos (* 1/2 K))))) 1))) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 J)) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ 1 (* (/ (/ U J) 2) (/ (/ U J) 2))))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 (* (cos (* 1/2 K)) J))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ (* (/ U 2) (/ U 2)) (cos (* 1/2 K))) (* (* J J) (cos (* 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2)))) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* 2 (* (cos (* 1/2 K)) J))) 2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (/ (* (/ U 2) (/ U 2)) (cos (* 1/2 K))) (* (* J J) (cos (* 1/2 K)))) 1)) (* (* J -2) (cos (/ K 2)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 7 * [misc]none: All alts: 8 * [misc]none: Fresh alt: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))) * [misc]none: Fresh alt: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) * [misc]none: Fresh alt: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Fresh alt: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Non-fresh alt: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 0 * [misc]none: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))): 1 * [misc]none: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))): 2 * [misc]none: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 3 * [misc]none: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 4 * [misc]none: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 5 * [misc]none: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 6 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64 1.1375933635893308e+160): 0 * [misc]none: (-6.814866840940998e+135 -5.655718042216706e-88 -1.454645223881282e+52): 1 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263 3.308825514112168e+294): 0 * [misc]none: (-2.460746881557577e-120 2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152 3.9436987604242746e-188): 1 * [misc]none: (1.2987545615858837e-229 4.072041399031216e+135 3.886264623793198e+50): 0 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261 2.0115211857947715e+45): 0 * [misc]none: (-1.1045058999604857e+216 5.600091178152213e-210 7.360949206952843e-212): 1 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170 -4.623471500501843e-242): 1 * [misc]none: (5.1613450216466796e+222 5.235172412726717e+152 3.9088394890922115e+223): 5 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86 -2.4730898186525758e+92): 1 * [misc]none: (1.1766044207630259e-195 3.799449287593535e+246 -0.014763539181529813): 0 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134 -8.950192398328319e-216): 1 * [misc]none: (-2.304991300802574e+103 1.2265182674709907e+198 3.136601910786915e+46): 5 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29 4.1738948781395064e+263): 0 * [misc]none: (4.319230432601922e-289 1.878611753272109e+229 6.0910080487156845e-145): 5 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267 -5.767560760391122e-80): 1 * [misc]none: (3.087465078472461e-297 11105828726598036.0 1.8641835944090122e-68): 0 * [misc]none: (4.082771820413304e+20 2.9298628929536803e-07 -5.923298684844267e+94): 2 * [misc]none: (2.112352033422511e-76 -1.4985268459995148e-46 5.682432409793209e-103): 1 * [misc]none: (-2.927239517009746e+252 3.763740454339611e-154 2.296991649120878e+37): 1 * [misc]none: (3.5701416837580245e+199 2.337605690906294e-85 -4.885442056107934e-227): 1 * [misc]none: (3.9227841234365035e+76 -3.356284453668777e-114 4.984374966308376e+225): 4 * [misc]none: (1.882765755995834e+18 1.939469755263449e-274 2.0558821145728443e-244): 0 * [misc]none: (-1.1054341172121307e+140 -2.1503642873783828e+135 7.118304679887613e-64): 1 * [misc]none: (2.3966615634258388e-54 -5.898930020082935e+214 -5.628195320915282e-68): 1 * [misc]none: (2.8183580936830136e+173 -3.0745109023049084e+38 -2.745352039047204e+251): 6 * [misc]none: (-3.2549065076282373e-223 -2.9085637996437565e-109 -6.751934028520499e-153): 5 * [misc]none: (1.0609576781328471e-51 -2.9598382711916395e-27 1.953450184014831e+240): 0 * [misc]none: (1.9357477509582754e-93 -3.868414697676859e-187 -7.980669295696735e+44): 4 * [misc]none: (127403.86295705284 -0.00034026123764188893 -4.6106017244707195e+85): 2 * [misc]none: (-1.107092798905617e+261 -6.976081079926557e-283 -3.37039684741933e-178): 1 * [misc]none: (-2.4597612805403014e-225 -1.0732537067454568e+260 3.703142739667792e+145): 0 * [misc]none: (2.0217918620332625e-85 5.6334012743355e-180 2.2204044591450003e+49): 0 * [misc]none: (-4.3610333217031953e+170 -5.0919585379789005e+258 2.872174301870785e-238): 0 * [misc]none: (-2.9327506918514952e+199 -7.645827496994951e-25 5.725707728057964e+165): 1 * [misc]none: (-24848314.999854505 1.0486772986933419e+51 2.885576028912994e-235): 1 * [misc]none: (-4.494398935743406e-151 1.6819327664275566e+227 2.7377399598585416e-269): 1 * [misc]none: (656785701220.522 -3.093221131514378e+260 1.2391428993123195e-53): 1 * [misc]none: (3.206221419912265e+51 -9.565609472547322e-124 -7.966969819213301e-111): 1 * [misc]none: (-2.0310019187041234e+101 3.221198963762039e+166 4.1941250065146804e+123): 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1.285043823429664e-88 -4.1407670678161526e-11): 1 * [misc]none: (-2.4804687032456895e-225 5.105992271675965e-91 4.769518420383615e-198): 5 * [misc]none: (-3.5622929425677944e-109 -2.7946692723705945e+174 8.013001070680621e+165): 0 * [misc]none: (-2.1859795545483963e-144 -2.982416606803992e+124 -1.9978600113133076e-197): 1 * [misc]none: (-2.899343562593569e+210 4.84745635532208e+98 6.798513332593515e-94): 5 * [misc]none: (1.4806341275368096e-15 5.186987197606439e-95 -3.948886659836771e-181): 1 * [misc]none: (-9.250307946645505e-57 3.414355778600799e+86 7.092462729213457e+106): 0 * [misc]none: (9.166563210335683e-100 6.272380368196269e-197 -6.781422288183296e+92): 0 * [misc]none: (-9.196434930110912e-08 1.6177744768864245e+282 3.821526442421431e+297): 0 * [misc]none: (1.2464063226445322e+209 -1.3504311949528837e+242 -7.683631295648835e+161): 1 * [misc]none: (-3.997830492939672e-176 -4.036402810535891e+74 -3.789980982823413e-182): 1 * [misc]none: (2.915155243878121e+282 -1.4096869899413683e+225 1.2469806285072402e-28): 1 * [misc]none: (1.1844921910801158e+211 2.7685178515126097e-185 1.169454058782927e-202): 0 * [misc]none: (-540424531888229.56 -3.937927881353232e-157 -1.432608055217829e+250): 0 * [misc]none: (-1.5193627802291947e+307 2.497681663913315e-296 -4.8388629739479836e+247): 1 * [misc]none: (5.521389771339527e+153 -4.661924852546912e-292 8.47938869933868e+153): 4 * [misc]none: (-1.3324704636421386e-59 5.401961492129079e+54 -6.2922046386341625e+175): 0 * [misc]none: (-3.331766816311546e-252 1.09010428308076e-124 6.739673456854575e+249): 0 * [misc]none: (0.36218343358512595 1.1084878850555635e+104 4.657146692902141e+280): 0 * [misc]none: (1.9733854398064837e+215 -1.0042838221053661e+118 2.748984383306802e-298): 0 * [misc]none: (4.052441720111469e+253 -1.5553945248174213e-46 -3.363214862937172e+152): 1 * [misc]none: (1.0943834228645564e-283 -5.494530578973757e-273 7.711144009199052e+59): 0 * [misc]none: (-2.887337594448413e-244 7.113635611234131e-284 -1.7256170230599765e-276): 1 * [misc]none: (-2.7798817180262955e-129 5.412740199293554e+26 6.234082350070098e+32): 0 * [misc]none: (-1.224114602121665e+244 1.7016584363366214e+224 3.1548761384348172e-109): 1 * [misc]none: (-1.0452069274089637e-179 9.821958098168882e-306 -1.8006808580074765e-143): 5 * [misc]none: (-2.8330265484926295e+125 2.345983975142507e+17 -2.746367752660865e-257): 1 * [misc]none: (-1.3522250564344336e-293 4.6470678617289796e+64 -1.5868324242939948e+125): 0 * [misc]none: (19456252.47135729 2.2232805721846523e-265 6.4866276434875264e+44): 0 * [misc]none: (3.175834271419552e+52 5.372727824328137e-28 -1.3152180852094354e-41): 1 * [misc]none: (-8.008209672192056e+31 5.651538156817781e-179 127453.31416225288): 1 * [misc]none: (4.8458035413918555e-285 -4.5482257545235974e-154 3.335728987744612e+103): 0 * [misc]none: (4.5943761374208534e-275 -1.3098416711382507e-225 1.0704348800720866e-142): 6 * [misc]none: (-5.8341558734907335e-177 1.4232029738127867e+25 -1.4759499190448393e+240): 0 * [misc]none: (9.151015091612054e-197 1.6592153710205133e-269 2.8067853342065496e-36): 0 * [misc]none: (-49241431095.91979 6.922703552766224e-109 7.522858670517918e+259): 0 * [misc]none: (11457790396.152245 -8.659425598701502e-239 1.5842409508887248e+187): 0 * [misc]none: (1.8800714745176597e+114 -5.784819395691441e-72 1.674827311439142e-232): 1 * [misc]none: All alt indexes * [misc]none: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 0 * [misc]none: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))): 1 * [misc]none: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))): 2 * [misc]none: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 3 * [misc]none: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 4 * [misc]none: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 5 * [misc]none: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 6 * [misc]none: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))): 7 * [misc]none: Best alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64 1.1375933635893308e+160): 0 * [misc]none: (-6.814866840940998e+135 -5.655718042216706e-88 -1.454645223881282e+52): 1 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263 3.308825514112168e+294): 0 * [misc]none: (-2.460746881557577e-120 2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152 3.9436987604242746e-188): 1 * [misc]none: (1.2987545615858837e-229 4.072041399031216e+135 3.886264623793198e+50): 0 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261 2.0115211857947715e+45): 0 * [misc]none: (-1.1045058999604857e+216 5.600091178152213e-210 7.360949206952843e-212): 1 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170 -4.623471500501843e-242): 1 * [misc]none: (5.1613450216466796e+222 5.235172412726717e+152 3.9088394890922115e+223): 5 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86 -2.4730898186525758e+92): 1 * [misc]none: (1.1766044207630259e-195 3.799449287593535e+246 -0.014763539181529813): 0 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134 -8.950192398328319e-216): 1 * [misc]none: (-2.304991300802574e+103 1.2265182674709907e+198 3.136601910786915e+46): 5 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29 4.1738948781395064e+263): 0 * [misc]none: (4.319230432601922e-289 1.878611753272109e+229 6.0910080487156845e-145): 7 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267 -5.767560760391122e-80): 1 * [misc]none: (3.087465078472461e-297 11105828726598036.0 1.8641835944090122e-68): 0 * [misc]none: (4.082771820413304e+20 2.9298628929536803e-07 -5.923298684844267e+94): 2 * [misc]none: (2.112352033422511e-76 -1.4985268459995148e-46 5.682432409793209e-103): 1 * [misc]none: (-2.927239517009746e+252 3.763740454339611e-154 2.296991649120878e+37): 1 * [misc]none: (3.5701416837580245e+199 2.337605690906294e-85 -4.885442056107934e-227): 1 * [misc]none: (3.9227841234365035e+76 -3.356284453668777e-114 4.984374966308376e+225): 4 * [misc]none: (1.882765755995834e+18 1.939469755263449e-274 2.0558821145728443e-244): 0 * [misc]none: (-1.1054341172121307e+140 -2.1503642873783828e+135 7.118304679887613e-64): 1 * [misc]none: (2.3966615634258388e-54 -5.898930020082935e+214 -5.628195320915282e-68): 1 * [misc]none: (2.8183580936830136e+173 -3.0745109023049084e+38 -2.745352039047204e+251): 6 * [misc]none: (-3.2549065076282373e-223 -2.9085637996437565e-109 -6.751934028520499e-153): 7 * [misc]none: (1.0609576781328471e-51 -2.9598382711916395e-27 1.953450184014831e+240): 0 * [misc]none: (1.9357477509582754e-93 -3.868414697676859e-187 -7.980669295696735e+44): 4 * [misc]none: (127403.86295705284 -0.00034026123764188893 -4.6106017244707195e+85): 7 * [misc]none: (-1.107092798905617e+261 -6.976081079926557e-283 -3.37039684741933e-178): 1 * [misc]none: (-2.4597612805403014e-225 -1.0732537067454568e+260 3.703142739667792e+145): 0 * [misc]none: (2.0217918620332625e-85 5.6334012743355e-180 2.2204044591450003e+49): 0 * [misc]none: (-4.3610333217031953e+170 -5.0919585379789005e+258 2.872174301870785e-238): 0 * [misc]none: (-2.9327506918514952e+199 -7.645827496994951e-25 5.725707728057964e+165): 1 * [misc]none: (-24848314.999854505 1.0486772986933419e+51 2.885576028912994e-235): 1 * [misc]none: (-4.494398935743406e-151 1.6819327664275566e+227 2.7377399598585416e-269): 1 * [misc]none: (656785701220.522 -3.093221131514378e+260 1.2391428993123195e-53): 1 * [misc]none: (3.206221419912265e+51 -9.565609472547322e-124 -7.966969819213301e-111): 1 * [misc]none: (-2.0310019187041234e+101 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-1.3098416711382507e-225 1.0704348800720866e-142): 6 * [misc]none: (-5.8341558734907335e-177 1.4232029738127867e+25 -1.4759499190448393e+240): 0 * [misc]none: (9.151015091612054e-197 1.6592153710205133e-269 2.8067853342065496e-36): 0 * [misc]none: (-49241431095.91979 6.922703552766224e-109 7.522858670517918e+259): 0 * [misc]none: (11457790396.152245 -8.659425598701502e-239 1.5842409508887248e+187): 0 * [misc]none: (1.8800714745176597e+114 -5.784819395691441e-72 1.674827311439142e-232): 1 * [misc]none: Picked alt (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in K * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in K * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in J * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (cos (* 1/2 K))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (cos (* 1/2 K))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]taylor: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/12 in J * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in K * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in K * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in J * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) 1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) 1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (- (* 2 (log U)))) into (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) into (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) into (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (- (* 2 (log U)))) into (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) into (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) * [misc]taylor: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 4/3 in J * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (- (* 2 (log U)))) into (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) into (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ 1 U)))))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in K * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in K * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in J * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) -1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) -1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) * [misc]taylor: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 4/3 in J * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) * [misc]backup-simplify: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (* 2 (log (/ -1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ -1 U)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in K * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* J -2) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in J * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* J -2) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in U * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* J -2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in U * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* J -2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* J -2) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* J -2) into (* -2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* -2 J) (cos (* 1/2 K))) into (* -2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) (* -2 (* (cos (* 1/2 K)) J))) into (* -2 (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J))) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J)) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J) in J * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) in J * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (* -2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* J 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) 0) (* 0 (* -2 (* (cos (* 1/2 K)) J)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) 1) (* 0 0)) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) (* 0 0)) into (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (+ (* -2 (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) (* 0 0)) into (- (* 2 (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) in K * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (* 1 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) into (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) into (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (- (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) into (- (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) * [misc]backup-simplify: Simplify (- (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) into (- (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* J 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) 0) (+ (* 0 0) (* 0 (* -2 (* (cos (* 1/2 K)) J))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1)))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 (* (cos (* 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (* 2 (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))))) (* 1 (* J 1))) into (* -2 (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J)) * [misc]approximate: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in K * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 J) -2) in K * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in J * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* (/ 1 J) -2) in J * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in U * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* (/ 1 J) -2) in U * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in U * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 J) -2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* (/ 1 J) -2) in U * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 1 J) -2) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ 1/2 K))) into (* -2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (* (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) (* -2 (/ (cos (/ 1/2 K)) J))) into (* -2 (/ (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) J)) * [misc]taylor: Taking taylor expansion of (* -2 (/ (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) J)) in J * [misc]taylor: Taking taylor expansion of -2 in J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) J) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in J * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) 1) into (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) * [misc]taylor: Taking taylor expansion of (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) in K * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) in K * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) * [misc]backup-simplify: Simplify (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (* -2 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 0) (* 0 (* -2 (/ (cos (/ 1/2 K)) J)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 K)) 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) 0) (+ (* 0 0) (* 0 (* -2 (/ (cos (/ 1/2 K)) J))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 K)) 0) (+ (* 0 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (* (cos (/ 1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -2 (* (cos (/ 1/2 (/ 1 K))) (fabs (cbrt (+ (* 1/4 (/ (pow (/ 1 J) 2) (* (pow (/ 1 U) 2) (pow (cos (/ 1/2 (/ 1 K))) 2)))) 1))))) (* 1 (* (/ 1 (/ 1 J)) 1))) into (* -2 (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J))) * [misc]approximate: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in K * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- J)) -2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of -2 in K * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in J * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* (/ 1 (- J)) -2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 J * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in U * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* (/ 1 (- J)) -2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (* (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in U * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- J)) -2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* (/ 1 (- J)) -2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of -2 in U * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -1 J) -2) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ -1/2 K))) into (* 2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (* (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) (* 2 (/ (cos (/ -1/2 K)) J))) into (* 2 (/ (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) J)) * [misc]taylor: Taking taylor expansion of (* 2 (/ (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) J) in J * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) in J * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) * [misc]backup-simplify: Simplify (/ (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) 1) into (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) * [misc]taylor: Taking taylor expansion of (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]taylor: Taking taylor expansion of (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) in K * [misc]backup-simplify: Simplify (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) * [misc]backup-simplify: Simplify (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (* 2 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (* 0 -2)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) 0) (* 0 (* 2 (/ (cos (/ -1/2 K)) J)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 K)) 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 J) 0) (+ (* 0 0) (* 0 -2))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ -1/2 K)) 2)))) 1))) 0) (+ (* 0 0) (* 0 (* 2 (/ (cos (/ -1/2 K)) J))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 K)) 0) (+ (* 0 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* (cos (/ -1/2 K)) (fabs (cbrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 2 (* (cos (/ -1/2 (/ 1 (- K)))) (fabs (cbrt (+ (* 1/4 (/ (pow (/ 1 (- J)) 2) (* (pow (cos (/ -1/2 (/ 1 (- K)))) 2) (pow (/ 1 (- U)) 2)))) 1))))) (* 1 (* (/ 1 (/ 1 (- J))) 1))) into (* -2 (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3)) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/6) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3)) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/6) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/6) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/6) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/6 in J * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/6) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/6) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/6 in K * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/6 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/6 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/6) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/6) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/6) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/6))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/6) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/6) * [misc]approximate: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/6) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3)) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/6) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/6) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/6 in J * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/6) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/6) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/6 in K * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/6) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/6) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/6) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/6))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/6) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/6) * [misc]approximate: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3)) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3)) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/6) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (sqrt (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/6) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3)))) into 0 * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/6) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/6 in J * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/6) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/6) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/6 in K * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/6) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/6) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/6) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/6))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/6 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/6) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/6) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3) (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3)))) * [exit]simplify: Simplified to (cbrt (+ 1 (* (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3) (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3)))) * [enter]simplify: Simplifying (cbrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- (* 1 1) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (cbrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 1))))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) * [enter]simplify: Simplifying (cbrt (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) * [exit]simplify: Simplified to (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (+ (log (* J -2)) (log (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (+ (+ (log (cos (/ K 2))) (log (* J -2))) (log (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (log (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (+ (log (* (cos (/ K 2)) (* J -2))) (log (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (+ (log (* (cos (/ K 2)) (* J -2))) (log (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (log (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * [exit]simplify: Simplified to (log (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (exp (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * [exit]simplify: Simplified to (exp (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* (* (* J -2) (* J -2)) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (* (* (* (cos (/ K 2)) (pow (* -2 J) 3)) (* (cos (/ K 2)) (cos (/ K 2)))) (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* (* (* J -2) (cos (/ K 2))) (* (* J -2) (cos (/ K 2)))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (* (pow (* (* -2 J) (cos (/ K 2))) 3) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (* (pow (* (* -2 J) (cos (/ K 2))) 3) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (* (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))))) * [exit]simplify: Simplified to (* (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))))) * [enter]simplify: Simplifying (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * [exit]simplify: Simplified to (cbrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * [exit]simplify: Simplified to (pow (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) 3) * [exit]simplify: Simplified to (pow (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) 3) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (sqrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * [exit]simplify: Simplified to (sqrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * [enter]simplify: Simplifying (sqrt (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (sqrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * [exit]simplify: Simplified to (sqrt (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J)))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* J -2)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (* (* -2 J) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (* -2 J) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (cos (/ K 2)) (* J -2))) * [exit]simplify: Simplified to (* (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (cos (/ K 2)) (* J -2))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (cos (/ K 2)) (* J -2))) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (cos (/ K 2)) (* J -2))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (log (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (exp (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (exp (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (* (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (sqrt (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt 1)) * [exit]simplify: Simplified to (sqrt (cbrt 1)) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (fabs (cbrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (fabs (cbrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs 1) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (* (* (fabs 1) (* J -2)) (cos (/ K 2))) (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ 1 U))))))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) -2)) (* J (fabs (pow (exp 1/3) (- (- (+ (* 2 (log U)) (log 1/4)) (log (cos (* 1/2 K)))) (+ (log (cos (* 1/2 K))) (* (log J) 2))))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (exp (* 1/3 (- (+ (* 2 (log (/ -1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ -1 U))))))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (* (* (sqrt (cbrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* -2 J) (cos (/ K 2)))) (fabs (pow (exp 1/3) (+ (* (- (log (/ -1 J)) (log (/ -1 U))) 2) (log (/ 1/4 (* (cos (* 1/2 K)) (cos (* 1/2 K))))))))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (cbrt (+ 1 (* (/ (* U 1/2) J) (/ (* U 1/2) J))))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (cbrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U)))))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (cbrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* 1/2 K)))) (- (log (/ -1 U)) (log (/ -1 J))))))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J)) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (fabs (cbrt (+ (/ (* (* 1/4 (/ U J)) (/ U J)) (* (cos (* K 1/2)) (cos (* K 1/2)))) 1)))) (sqrt (cbrt (+ 1 (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (* -2 (fabs (cbrt (+ (* (/ 1/4 (cos (* K 1/2))) (/ (* (/ U J) (/ U J)) (cos (* K 1/2)))) 1)))) (* (* J (cos (* K 1/2))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* -2 (* (cos (* 1/2 K)) (* (fabs (cbrt (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) 1))) J))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (* -2 (fabs (cbrt (+ (* (/ 1/4 (cos (* K 1/2))) (/ (* (/ U J) (/ U J)) (cos (* K 1/2)))) 1)))) (* (* J (cos (* K 1/2))) (sqrt (cbrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/6)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (* (* (cos (/ K 2)) (* (pow (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U))) 1/6) (* -2 J))) (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/6)) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (pow (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U))))) 1/6)) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/6)) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (pow (+ 1 (pow (exp 2) (+ (- (log (/ -1 J)) (log (/ -1 U))) (log (/ 1/2 (cos (* 1/2 K))))))) 1/6)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 8 * [misc]none: All alts: 10 * [misc]none: Fresh alt: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))) * [misc]none: Fresh alt: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) * [misc]none: Fresh alt: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Fresh alt: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (fabs (/ (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) (cbrt (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Non-fresh alt: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Non-fresh alt: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))): 0 * [misc]none: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 1 * [misc]none: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))): 2 * [misc]none: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))): 3 * [misc]none: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 4 * [misc]none: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 5 * [misc]none: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 6 * [misc]none: (λ (J K U) (* (* (fabs (/ (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) (cbrt (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 7 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64 1.1375933635893308e+160): 1 * [misc]none: (-6.814866840940998e+135 -5.655718042216706e-88 -1.454645223881282e+52): 0 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263 3.308825514112168e+294): 0 * [misc]none: (-2.460746881557577e-120 2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152 3.9436987604242746e-188): 0 * [misc]none: (1.2987545615858837e-229 4.072041399031216e+135 3.886264623793198e+50): 0 * [misc]none: (1.3556558330338219e-279 -3.8277959540181416e+261 2.0115211857947715e+45): 0 * [misc]none: (-1.1045058999604857e+216 5.600091178152213e-210 7.360949206952843e-212): 0 * [misc]none: (3.6323351005324725e+74 -9.559208559238359e+170 -4.623471500501843e-242): 0 * [misc]none: (5.1613450216466796e+222 5.235172412726717e+152 3.9088394890922115e+223): 0 * [misc]none: (3.345926165056854e+246 2.924154450481512e-86 -2.4730898186525758e+92): 0 * [misc]none: (1.1766044207630259e-195 3.799449287593535e+246 -0.014763539181529813): 0 * [misc]none: (-2.5295585364629736e-253 3.125863179986306e-134 -8.950192398328319e-216): 2 * [misc]none: (-2.304991300802574e+103 1.2265182674709907e+198 3.136601910786915e+46): 6 * [misc]none: (-7.336082833730887e+220 -1.7783570294902284e-29 4.1738948781395064e+263): 1 * [misc]none: (4.319230432601922e-289 1.878611753272109e+229 6.0910080487156845e-145): 6 * [misc]none: (1.716393032678617e+87 -3.2028793163485514e-267 -5.767560760391122e-80): 0 * [misc]none: (3.087465078472461e-297 11105828726598036.0 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* [misc]none: (-2.0310019187041234e+101 3.221198963762039e+166 4.1941250065146804e+123): 2 * [misc]none: (5.834035641946906e-257 3.906362661689762e+158 -2.0517902863946083e-102): 0 * [misc]none: (-1.7127652241866663e-27 1.1525212824649757e+173 2.1519168903719224e-48): 3 * [misc]none: (-1.933548091484468e-204 -1.947707196703237e+130 -1.2654394089404018e+152): 0 * [misc]none: (-1.9108430739228874e-168 2.5954317092090663e+188 1.2296515355157788e+308): 0 * [misc]none: (2.467422452934927e-37 5.976566162781828e-262 4.0522267480412145e+189): 0 * [misc]none: (-4.452114039611652e-132 1.638426277474575e-287 1.1394954880619105e+204): 0 * [misc]none: (-1.9937829353717472e+136 7.12002652771949e+38 -1.0864842934460505e-25): 0 * [misc]none: (-2.8684613953187015e+191 3.1888170814308676e+138 -1.142257873712315e-49): 0 * [misc]none: (-2.488397426951592e+85 -3.0074667053035266e-198 7.549936203493533e-264): 0 * [misc]none: (-7.706007717334245e-133 -3.852230944737251e+125 1.9142734474564412e+250): 0 * [misc]none: (-2.669176676414129e+220 -1.917715355857765e-213 -1.2153695779764702e-107): 0 * [misc]none: (-5.6718708555151934e-182 -6.791163764654487e+57 1.2321306439728458e+129): 0 * [misc]none: (-8.306263539762776e+107 1.9978503540907537e+101 -36.06203897217008): 0 * [misc]none: (8.837317626991618e+153 -4.077199751463202e-279 3.561052370274286e+222): 0 * [misc]none: (-1.9803302250630132e+229 -1.2602406432951942e+242 1.3132191418449429e+272): 1 * [misc]none: (161670548.36131597 1.2154965615643017e-95 3.335747506626598e+164): 0 * [misc]none: (1.7054753386147003e-193 1.417395857982962e+112 -9.484486393474689e+224): 0 * [misc]none: (1.0400546097675973e-191 -1.7028093168367145e-212 -3.61122588585932e-122): 5 * [misc]none: (-4.1072671632900297e-249 1.2926844442603449e-272 6.777020097920311e+216): 0 * [misc]none: (-4.994865514247891e-53 8.02593234133885e-135 2.416983450303648e+283): 0 * [misc]none: (-2.2431045278273084e+46 -1.1940600737652846e+124 -1.3488399650730669e+44): 4 * [misc]none: 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(-1.0452069274089637e-179 9.821958098168882e-306 -1.8006808580074765e-143): 6 * [misc]none: (-2.8330265484926295e+125 2.345983975142507e+17 -2.746367752660865e-257): 0 * [misc]none: (-1.3522250564344336e-293 4.6470678617289796e+64 -1.5868324242939948e+125): 0 * [misc]none: (19456252.47135729 2.2232805721846523e-265 6.4866276434875264e+44): 0 * [misc]none: (3.175834271419552e+52 5.372727824328137e-28 -1.3152180852094354e-41): 0 * [misc]none: (-8.008209672192056e+31 5.651538156817781e-179 127453.31416225288): 0 * [misc]none: (4.8458035413918555e-285 -4.5482257545235974e-154 3.335728987744612e+103): 0 * [misc]none: (4.5943761374208534e-275 -1.3098416711382507e-225 1.0704348800720866e-142): 0 * [misc]none: (-5.8341558734907335e-177 1.4232029738127867e+25 -1.4759499190448393e+240): 0 * [misc]none: (9.151015091612054e-197 1.6592153710205133e-269 2.8067853342065496e-36): 0 * [misc]none: (-49241431095.91979 6.922703552766224e-109 7.522858670517918e+259): 0 * [misc]none: (11457790396.152245 -8.659425598701502e-239 1.5842409508887248e+187): 0 * [misc]none: (1.8800714745176597e+114 -5.784819395691441e-72 1.674827311439142e-232): 0 * [misc]none: Picked alt (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in K * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in K * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in K * [misc]taylor: Taking taylor expansion of (/ U J) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ U J) into (/ U J) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ U J) 2) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (/ (* 1/2 (/ U J)) 1) into (* 1/2 (/ U J)) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U J)) (* 1/2 (/ U J))) into (* 1/4 (/ (pow U 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in J * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (cos (* 1/2 K))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in J * [misc]taylor: Taking taylor expansion of (/ U J) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ U 1) into U * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ U 2) into (* 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 U) (cos (* 1/2 K))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) (* 1/2 (/ U (cos (* 1/2 K))))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log J)) (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) into (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (log J))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ U J) 2) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ U J) 2) in U * [misc]taylor: Taking taylor expansion of (/ U J) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 J) 2) into (/ 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 J) (cos (* 1/2 K))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) 1)))) into (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) * [misc]taylor: Taking taylor expansion of (/ 1/12 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 1/12 in J * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 K))) into (log (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 K)))) into (* 2 (log (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 K))))) into (pow (cos (* 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/12 (pow (cos (* 1/2 K)) 2)) into (/ 1/12 (pow (cos (* 1/2 K)) 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 0) 1)) (pow (cos (* 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 0) 2)) (pow (cos (* 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/12 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in K * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in K * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ (/ 1 U) (/ 1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ 1/2 K))) into (* 1/2 (/ J (* U (cos (/ 1/2 K))))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* U (cos (/ 1/2 K))))) (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in J * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) 1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) 1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ 1/2 K))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 1/2 (* (cos (/ 1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ 1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 U) (/ 1 J)) 2) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 U) (/ 1 J)) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]backup-simplify: Simplify (/ 1 (/ 1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ 1/2 K))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (- (* 2 (log U)))) into (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) into (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) into (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (- (* 2 (log U)))) into (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) into (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 J)) (+ (* J (/ 0 (/ 1 J))) (* 0 (/ 0 (/ 1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ 1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) * [misc]taylor: Taking taylor expansion of (* 4/3 (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 4/3 in J * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ 1/2 K)) 2)))) into (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (- (* 2 (log U)))) into (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) into (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ 1/2 K)))) into (* 2 (log (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) into (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (/ (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) 1) into (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ 1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 K)) 2))) (* 2 (log J))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2))) (* 2 (log (/ 1 J)))) (* 2 (log (/ 1 U)))))) into (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ 1 U)))))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in K * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in K * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ (/ -1 U) (/ -1 J)) into (/ J U) * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ J U) 2) into (* 1/2 (/ J U)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 (/ J U)) (cos (/ -1/2 K))) into (* 1/2 (/ J (* U (cos (/ -1/2 K))))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (* U (cos (/ -1/2 K))))) (* 1/2 (/ J (* U (cos (/ -1/2 K)))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in J * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in J * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) -1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 U) -1) into (/ 1 U) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 U) 2) into (/ 1/2 U) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (/ 1/2 U) (cos (/ -1/2 K))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 1/2 (* (cos (/ -1/2 K)) U))) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) 1)) (pow 1 1)))) 2) into (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/4 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 0))) into (* 1/12 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Rewrote expression to (pow (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1)) in U * [misc]taylor: Taking taylor expansion of (+ (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) 1) in U * [misc]taylor: Taking taylor expansion of (* (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- U)) (/ 1 (- J))) 2) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]backup-simplify: Simplify (/ -1 (/ -1 J)) into J * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ J 2) into (* 1/2 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ (* 1/2 J) (cos (/ -1/2 K))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) * [misc]backup-simplify: Simplify (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in K * [misc]taylor: Taking taylor expansion of (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) in K * [misc]taylor: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (* 2 (log J)) into (* 2 (log J)) * [misc]backup-simplify: Simplify (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log J))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) 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) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 J)) (+ (* J (/ 0 (/ -1 J))) (* 0 (/ 0 (/ -1 J))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 J) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) 1)))) 2) into (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log U)) (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 4 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2)))) (+ (* 0 0) (* 0 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ (pow (cos (/ -1/2 K)) 2) (pow J 2))) 1) 1)))) into (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) * [misc]taylor: Taking taylor expansion of (* 4/3 (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2))) in J * [misc]taylor: Taking taylor expansion of 4/3 in J * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (pow J 2)) in J * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) in J * [misc]taylor: Taking taylor expansion of (log (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J * [misc]taylor: Taking taylor expansion of 1/4 in J * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 2 (log (cos (/ -1/2 K)))) into (* 2 (log (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2)) * [misc]backup-simplify: Simplify (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) into (log (/ 1/4 (pow (cos (/ -1/2 K)) 2))) * [misc]taylor: Taking taylor expansion of (* 2 (log U)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -2) (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) into (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) * [misc]backup-simplify: Simplify (* 2 (log U)) into (* 2 (log U)) * [misc]backup-simplify: Simplify (- (* 2 (log U))) into (- (* 2 (log U))) * [misc]backup-simplify: Simplify (+ (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (- (* 2 (log U)))) into (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) into (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) * [misc]taylor: Taking taylor expansion of (pow J 2) in J * [misc]backup-simplify: Simplify (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) * [misc]backup-simplify: Simplify (/ (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) 1) into (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log U))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4/3 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1/2 K)) 2) (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/4 (pow (cos (/ -1/2 K)) 2)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log U)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (* 2 (log J)) (log (/ 1/4 (pow (cos (/ -1/2 K)) 2)))) (* 2 (log U))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (* 2 (log (/ 1 (- J)))) (log (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)))) (* 2 (log (/ 1 (- U))))))) into (exp (* 1/3 (- (+ (* 2 (log (/ -1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ -1 U)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (pow (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) 1/3) into (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (pow (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (pow (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (pow (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Rewrote expression to (pow (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) into (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1/3) * [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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1) 1/3) into (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (* (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3) (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3)))) * [exit]simplify: Simplified to (cbrt (+ 1 (* (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3) (pow (/ (/ (/ U 2) J) (cos (/ K 2))) 3)))) * [enter]simplify: Simplifying (cbrt (+ (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (- (* 1 1) (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (cbrt (- 1 (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) (+ 3 1))))) * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))) (* 1 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) * [enter]simplify: Simplifying (cbrt (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (- (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (446 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) * [exit]simplify: Simplified to (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (cbrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (cbrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (cbrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * [exit]simplify: Simplified to (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1) * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs 1) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (* (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) (* (cos (/ K 2)) (* (fabs 1) (* J -2)))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (exp (* 1/3 (- (+ (* 2 (log (/ 1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ 1 U))))))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (* (cbrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1)))) (cbrt (cbrt (+ (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) 1))))) (* (* (* -2 J) (cos (/ K 2))) (fabs (pow (exp 1/3) (- (log (/ 1/4 (cos (* 1/2 K)))) (- (log (cos (* 1/2 K))) (* (- 2) (- (log J) (log U))))))))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (exp (* 1/3 (- (+ (* 2 (log (/ -1 J))) (log (/ 1/4 (pow (cos (* 1/2 K)) 2)))) (* 2 (log (/ -1 U))))))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (cbrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (cbrt (* (cbrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))) (cbrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))))))))) (* (* (* -2 J) (cos (/ K 2))) (fabs (pow (exp 1/3) (- (log (/ (/ 1/4 (cos (* 1/2 K))) (cos (* 1/2 K)))) (* 2 (- (log (/ -1 U)) (log (/ -1 J))))))))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (cbrt (+ 1 (pow (exp 2) (+ (- (log 1/2) (log J)) (log U))))))))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (cbrt (+ (pow (exp 2) (- (log (/ 1/2 (cos (* 1/2 K)))) (- (log J) (log U)))) 1))) (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))))))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (cbrt (+ (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log (/ -1 U)) (log (/ -1 J))))) 1)))))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (cbrt (* (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)) (cbrt (+ 1 (pow (exp 2) (+ (- (log 1/2) (log J)) (log U)))))))))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (* (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (cbrt (+ (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U)))) 1))))))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log (/ -1 U)) (log (/ -1 J))))))) (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))) (cbrt (cbrt (+ (* (/ (/ U (* 2 J)) (cos (/ K 2))) (/ (/ U (* 2 J)) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (pow (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) 1/3) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (* (cbrt (+ 1 (pow (exp 2) (+ (- (log U) (log J)) (log 1/2))))) (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (pow (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U)))))) 1/3) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (* (cbrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U)))))) (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (pow (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U)))))) 1/3) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (* -2 J))) (sqrt (* (cbrt (* (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) (cbrt (+ 1 (pow (exp 2) (+ (- (log (/ -1 J)) (log (/ -1 U))) (log (/ 1/2 (cos (* 1/2 K)))))))))) (cbrt (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) * * * [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: 10 * [misc]none: Non-fresh alt: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (* (cbrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))) * [misc]none: Fresh alt: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) * [misc]none: Fresh alt: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Fresh alt: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))) * [misc]none: Fresh alt: (λ (J K U) (* (* (fabs (/ (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) (cbrt (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Non-fresh alt: (λ (J K U) (* (* (fabs (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * [misc]none: Non-fresh alt: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 0 * [misc]none: (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))))))))): 1 * [misc]none: (λ (J K U) (cbrt (* (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (pow (* (* J -2) (cos (/ K 2))) 3)) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))): 2 * [misc]none: (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 3 * [misc]none: (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 4 * [misc]none: (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))): 5 * [misc]none: (λ (J K U) (* (* (fabs (/ (cbrt (- (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)) 1)) (cbrt (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) (* (* J -2) (cos (/ K 2)))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))): 6 * [misc]none: Best fresh alt per point * [misc]none: (4.116349531400419e+59 3.7023764599519414e+64 1.1375933635893308e+160): 0 * [misc]none: (-6.814866840940998e+135 -5.655718042216706e-88 -1.454645223881282e+52): 1 * [misc]none: (3.19314088639968e-300 7.10649025136688e+263 3.308825514112168e+294): 0 * [misc]none: (-2.460746881557577e-120 2.6209483109511002e-99 1.0152763243033748e+142): 0 * [misc]none: (3.1947368360544475e+37 -1.184307734105162e-152 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-1.6210592262507663e+150 -0.009143223497780574): 0 * [misc]none: (-5.311400482916382e+138 -7.830226615326723e-203 5.306441188360666e-59): 0 * [misc]none: (-1.445755470449673e+282 -8.311915822332369e+167 -5.128704209374126e-304): 1 * [misc]none: (4.289887105348905e+148 4.739581624122418e-235 7.646129439560017e+176): 0 * [misc]none: (3.1611172476808926e+209 -3.1889451453399037e+271 3.241550165346134e-21): 0 * [misc]none: (1.263417617881981e+259 -5.690428683718269e-165 -3.2275814427135197e+295): 2 * [misc]none: (-1.3510395397174858e-41 7.641034589777101e-98 -1.3756337522805698e+101): 3 * [misc]none: (3.398835483768846e+234 -9.309448525510816e-35 -1.7508506186452563e+296): 0 * [misc]none: (-1.8944746079086867e+267 -1.2490950156745258e-16 -2.2703690062482775e+164): 0 * [misc]none: (-8.77548775797455e+172 -2.953800495378965e-185 3.870739942634173e-139): 0 * [misc]none: (-1.0335297311623262e+153 -1.0263706925056152e-249 1.615918809269244e+209): 0 * [misc]none: (1.9096457596516137e+301 1.285043823429664e-88 -4.1407670678161526e-11): 0 * [misc]none: (-2.4804687032456895e-225 5.105992271675965e-91 4.769518420383615e-198): 6 * [misc]none: (-3.5622929425677944e-109 -2.7946692723705945e+174 8.013001070680621e+165): 0 * [misc]none: (-2.1859795545483963e-144 -2.982416606803992e+124 -1.9978600113133076e-197): 0 * [misc]none: (-2.899343562593569e+210 4.84745635532208e+98 6.798513332593515e-94): 6 * [misc]none: (1.4806341275368096e-15 5.186987197606439e-95 -3.948886659836771e-181): 0 * [misc]none: (-9.250307946645505e-57 3.414355778600799e+86 7.092462729213457e+106): 0 * [misc]none: (9.166563210335683e-100 6.272380368196269e-197 -6.781422288183296e+92): 0 * [misc]none: (-9.196434930110912e-08 1.6177744768864245e+282 3.821526442421431e+297): 0 * [misc]none: (1.2464063226445322e+209 -1.3504311949528837e+242 -7.683631295648835e+161): 0 * [misc]none: (-3.997830492939672e-176 -4.036402810535891e+74 -3.789980982823413e-182): 0 * [misc]none: (2.915155243878121e+282 -1.4096869899413683e+225 1.2469806285072402e-28): 0 * [misc]none: (1.1844921910801158e+211 2.7685178515126097e-185 1.169454058782927e-202): 0 * [misc]none: (-540424531888229.56 -3.937927881353232e-157 -1.432608055217829e+250): 0 * [misc]none: (-1.5193627802291947e+307 2.497681663913315e-296 -4.8388629739479836e+247): 0 * [misc]none: (5.521389771339527e+153 -4.661924852546912e-292 8.47938869933868e+153): 0 * [misc]none: (-1.3324704636421386e-59 5.401961492129079e+54 -6.2922046386341625e+175): 0 * [misc]none: (-3.331766816311546e-252 1.09010428308076e-124 6.739673456854575e+249): 0 * [misc]none: (0.36218343358512595 1.1084878850555635e+104 4.657146692902141e+280): 0 * [misc]none: (1.9733854398064837e+215 -1.0042838221053661e+118 2.748984383306802e-298): 1 * [misc]none: (4.052441720111469e+253 -1.5553945248174213e-46 -3.363214862937172e+152): 0 * [misc]none: (1.0943834228645564e-283 -5.494530578973757e-273 7.711144009199052e+59): 0 * [misc]none: (-2.887337594448413e-244 7.113635611234131e-284 -1.7256170230599765e-276): 0 * [misc]none: (-2.7798817180262955e-129 5.412740199293554e+26 6.234082350070098e+32): 0 * [misc]none: (-1.224114602121665e+244 1.7016584363366214e+224 3.1548761384348172e-109): 0 * [misc]none: (-1.0452069274089637e-179 9.821958098168882e-306 -1.8006808580074765e-143): 6 * [misc]none: (-2.8330265484926295e+125 2.345983975142507e+17 -2.746367752660865e-257): 0 * [misc]none: (-1.3522250564344336e-293 4.6470678617289796e+64 -1.5868324242939948e+125): 0 * [misc]none: (19456252.47135729 2.2232805721846523e-265 6.4866276434875264e+44): 0 * [misc]none: (3.175834271419552e+52 5.372727824328137e-28 -1.3152180852094354e-41): 0 * [misc]none: (-8.008209672192056e+31 5.651538156817781e-179 127453.31416225288): 0 * [misc]none: (4.8458035413918555e-285 -4.5482257545235974e-154 3.335728987744612e+103): 0 * [misc]none: (4.5943761374208534e-275 -1.3098416711382507e-225 1.0704348800720866e-142): 0 * [misc]none: (-5.8341558734907335e-177 1.4232029738127867e+25 -1.4759499190448393e+240): 0 * [misc]none: (9.151015091612054e-197 1.6592153710205133e-269 2.8067853342065496e-36): 0 * [misc]none: (-49241431095.91979 6.922703552766224e-109 7.522858670517918e+259): 0 * [misc]none: (11457790396.152245 -8.659425598701502e-239 1.5842409508887248e+187): 0 * [misc]none: (1.8800714745176597e+114 -5.784819395691441e-72 1.674827311439142e-232): 0 * [misc]none: Picked alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into (pow (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into (pow (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) into (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) into (pow (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))) into (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1))))) (+ (* (/ (pow 0 1) 1)))) 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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) into (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1))))) into (pow (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) into (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) into (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1))))) into (pow (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) into (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))))))) into (pow (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Rewrote expression to (pow (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))))) in U * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))))) in U * [misc]taylor: Taking taylor expansion of 1/3 in U * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) in U * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1/3) in J * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) in J * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) in J * [misc]taylor: Taking taylor expansion of 1/3 in J * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))) in J * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) in K * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) in K * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) into (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) into (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) 1/3) into (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in K * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 J) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in K * [misc]taylor: Taking taylor expansion of (/ K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (* 2 J) 1) into (* 2 J) * [misc]backup-simplify: Simplify (/ U (* 2 J)) into (* 1/2 (/ U J)) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U J))) into (log (* 1/2 (/ U J))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ U J)))) into (* 2 (log (* 1/2 (/ U J)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ U J))))) into (pow (* 1/2 (/ U J)) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ U J)) 2)) into (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) into (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 J)) (+ (* (* 1/2 (/ U J)) (/ 0 (* 2 J))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ U J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ U J))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in J * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 J) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in J * [misc]taylor: Taking taylor expansion of (/ K 2) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 K))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 2 (cos (* 1/2 K)))) into (* 2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (/ U (* 2 (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ U (cos (* 1/2 K))))) into (log (* 1/2 (/ U (cos (* 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) into (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J))))) into (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 2 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (* 1/2 K)))) (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) (/ 0 (* 2 (cos (* 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ U (cos (* 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (* 1/2 (/ U (cos (* 1/2 K)))))) into (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ U (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ U (* (* 2 J) (cos (/ K 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ U (* (* 2 J) (cos (/ K 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ U (* (* 2 J) (cos (/ K 2))))) in U * [misc]taylor: Taking taylor expansion of (/ U (* (* 2 J) (cos (/ K 2)))) in U * [misc]taylor: Taking taylor expansion of U in U * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 2 J) (cos (/ K 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 J) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]taylor: Taking taylor expansion of (cos (/ K 2)) in U * [misc]taylor: Taking taylor expansion of (/ K 2) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ K 2) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]backup-simplify: Simplify (* 2 J) into (* 2 J) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (* 2 J) (cos (* 1/2 K))) into (* 2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (* 1/2 K)) J))) into (log (/ 1/2 (* (cos (* 1/2 K)) J))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) into (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) into (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 J)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (* 0 (cos (* 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) in J * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (* (cos (* 1/2 K)) J))) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) J)) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (* 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K)) * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 1) (* 0 0)) into (cos (* 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (* 1/2 K)))) into (log (/ 1/2 (cos (* 1/2 K)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log J)) (log (/ 1/2 (cos (* 1/2 K))))) into (- (log (/ 1/2 (cos (* 1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (+ (log U) (- (log (/ 1/2 (cos (* 1/2 K)))) (log J))) into (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) into (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) into (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)) in K * [misc]taylor: Taking taylor expansion of (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (* 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (log 1/2) into (log 1/2) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]backup-simplify: Simplify (+ (log U) (log 1/2)) into (+ (log U) (log 1/2)) * [misc]backup-simplify: Simplify (- (log J)) into (- (log J)) * [misc]backup-simplify: Simplify (+ (+ (log U) (log 1/2)) (- (log J))) into (- (+ (log U) (log 1/2)) (log J)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log U) (log 1/2)) (log J))) into (* 2 (- (+ (log U) (log 1/2)) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) into (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1) into (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log U) (log 1/2)) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 (+ (* 2 0) (+ (* 0 0) (* 0 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 J) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (* (cos (* 1/2 K)) J))) (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 0 (* 2 (* (cos (* 1/2 K)) J)))) (* 0 (/ 0 (* 2 (* (cos (* 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (* (cos (* 1/2 K)) J)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log U)) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) into (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (+ (log U) (log (/ 1/2 (* (cos (* 1/2 K)) J)))))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 K)) 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 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (* 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (* 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log U) (log (/ 1/2 (cos (* 1/2 K))))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) into (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 K) 2)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ 1/2 K)) U)))) into (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) into (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K))))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ 1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* U (cos (/ 1/2 K)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (/ 1 U) into (/ 1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 K) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (cos (/ 1/2 K))) into (* 2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (/ (/ 1 U) (* 2 (cos (/ 1/2 K)))) into (/ 1/2 (* (cos (/ 1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ 1/2 K)) U))) into (log (/ 1/2 (* (cos (/ 1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J))))) into (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) into (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 U) (/ 0 U)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (cos (/ 1/2 K)))) (+ (* (/ 1/2 (* (cos (/ 1/2 K)) U)) (/ 0 (* 2 (cos (/ 1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ 1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ 1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (+ (log (/ 1/2 (* (cos (/ 1/2 K)) U))) (log J)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 J)) (cos (/ (/ 1 K) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 J)) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (/ 1 J) into (/ 1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 K) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 K) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ 1 J)) into (/ 2 J) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (/ 2 J) (cos (/ 1/2 K))) into (* 2 (/ (cos (/ 1/2 K)) J)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (cos (/ 1/2 K)) J))) into (* 1/2 (/ J (cos (/ 1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ 1/2 K))))) into (log (* 1/2 (/ J (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) into (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (* 0 (cos (/ 1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ 1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1/2 K) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) in K * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ 1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ 1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ 1/2 K)) into (cos (/ 1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ 1/2 K)))) into (log (/ 1/2 (cos (/ 1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) into (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (- (log U))) into (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) into (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) into (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ 1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 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 J) (/ 0 J)) (* 0 (/ 0 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 J) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ (cos (/ 1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))) (* 0 (/ 0 (* 2 (/ (cos (/ 1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ 1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ 1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ 1/2 K))))) (log U)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ 1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ 1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log J) (log (/ 1/2 (cos (/ 1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (/ 1/2 (/ 1 K)))))) (log (/ 1 U))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in (U J K) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in K * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in K * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in K * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in K * [misc]taylor: Taking taylor expansion of (- U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in K * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in K * [misc]taylor: Taking taylor expansion of (- J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [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 K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- K)) 2)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) into (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))) * [misc]backup-simplify: Simplify (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) into (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) * [misc]backup-simplify: Simplify (+ 1 (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)) into (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in J * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in J * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in J * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in J * [misc]taylor: Taking taylor expansion of (- U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (/ 1 (- U)) into (/ -1 U) * [misc]taylor: Taking taylor expansion of (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in J * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in J * [misc]taylor: Taking taylor expansion of (- J) in J * [misc]taylor: Taking taylor expansion of J in J * [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 (cos (/ (/ 1 (- K)) 2)) in J * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in J * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in J * [misc]taylor: Taking taylor expansion of (- K) in J * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* -2 (cos (/ -1/2 K))) into (* -2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (/ (/ -1 U) (* -2 (cos (/ -1/2 K)))) into (/ 1/2 (* (cos (/ -1/2 K)) U)) * [misc]backup-simplify: Simplify (log (/ 1/2 (* (cos (/ -1/2 K)) U))) into (log (/ 1/2 (* (cos (/ -1/2 K)) U))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) into (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) into (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J))))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) into (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- U) into (- U) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 U) (/ 0 (- U))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (cos (/ -1/2 K)))) (+ (* (/ 1/2 (* (cos (/ -1/2 K)) U)) (/ 0 (* -2 (cos (/ -1/2 K))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (* (cos (/ -1/2 K)) U)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (* (cos (/ -1/2 K)) U)))) into (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (exp (* 2 (+ (log (/ 1/2 (* (cos (/ -1/2 K)) U))) (log J)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) in U * [misc]taylor: Taking taylor expansion of (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)) in U * [misc]taylor: Taking taylor expansion of 1 in U * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) in U * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))))) in U * [misc]taylor: Taking taylor expansion of (* 2 (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))))) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- U)) in U * [misc]taylor: Taking taylor expansion of (- U) in U * [misc]taylor: Taking taylor expansion of U in U * [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 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) in U * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- J))) in U * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- J)) in U * [misc]taylor: Taking taylor expansion of (- J) in U * [misc]taylor: Taking taylor expansion of J in U * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (/ 1 (- J)) into (/ -1 J) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- K)) 2)) in U * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- K)) 2) in U * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in U * [misc]taylor: Taking taylor expansion of (- K) in U * [misc]taylor: Taking taylor expansion of K in U * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in U * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 K) 2) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* 2 (/ -1 J)) into (/ -2 J) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (/ -2 J) (cos (/ -1/2 K))) into (* -2 (/ (cos (/ -1/2 K)) J)) * [misc]backup-simplify: Simplify (/ -1 (* -2 (/ (cos (/ -1/2 K)) J))) into (* 1/2 (/ J (cos (/ -1/2 K)))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ J (cos (/ -1/2 K))))) into (log (* 1/2 (/ J (cos (/ -1/2 K))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) into (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 J))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (* 0 (cos (/ -1/2 K)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)) in J * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1) in J * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) in J * [misc]taylor: Taking taylor expansion of (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))) in J * [misc]taylor: Taking taylor expansion of 2 in J * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) in J * [misc]taylor: Taking taylor expansion of (log (* 1/2 (/ J (cos (/ -1/2 K))))) in J * [misc]taylor: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J * [misc]taylor: Taking taylor expansion of 1/2 in J * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J * [misc]taylor: Taking taylor expansion of J in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in J * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in J * [misc]taylor: Taking taylor expansion of -1/2 in J * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in J * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ -1/2 K) into (/ -1/2 K) * [misc]backup-simplify: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 K)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log U) in J * [misc]taylor: Taking taylor expansion of U in J * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (* (- -1) (log J)) (log (/ 1/2 (cos (/ -1/2 K))))) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in J * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 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 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) in K * [misc]taylor: Taking taylor expansion of (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) in K * [misc]taylor: Taking taylor expansion of (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) in K * [misc]taylor: Taking taylor expansion of (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) in K * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) in K * [misc]taylor: Taking taylor expansion of (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) in K * [misc]taylor: Taking taylor expansion of (log (/ 1/2 (cos (/ -1/2 K)))) in K * [misc]taylor: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ -1/2 K)) in K * [misc]taylor: Taking taylor expansion of (/ -1/2 K) in K * [misc]taylor: Taking taylor expansion of -1/2 in K * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of K in K * [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 (cos (/ -1/2 K)) into (cos (/ -1/2 K)) * [misc]backup-simplify: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K))) * [misc]backup-simplify: Simplify (log (/ 1/2 (cos (/ -1/2 K)))) into (log (/ 1/2 (cos (/ -1/2 K)))) * [misc]taylor: Taking taylor expansion of (log J) in K * [misc]taylor: Taking taylor expansion of J in K * [misc]backup-simplify: Simplify J into J * [misc]backup-simplify: Simplify (log J) into (log J) * [misc]taylor: Taking taylor expansion of (log U) in K * [misc]taylor: Taking taylor expansion of U in K * [misc]backup-simplify: Simplify U into U * [misc]backup-simplify: Simplify (log U) into (log U) * [misc]backup-simplify: Simplify (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) into (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) * [misc]backup-simplify: Simplify (- (log U)) into (- (log U)) * [misc]backup-simplify: Simplify (+ (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (- (log U))) into (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)) * [misc]backup-simplify: Simplify (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) into (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))) * [misc]backup-simplify: Simplify (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) into (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow J 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow U 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) into (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)) * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (/ -1/2 K) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- J) into (- J) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 J) (/ 0 (- J))) (* 0 (/ 0 (- J))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 J)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 J) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -2 (/ (cos (/ -1/2 K)) J))) (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))) (* 0 (/ 0 (* -2 (/ (cos (/ -1/2 K)) J)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ J (cos (/ -1/2 K)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log U)) (log (* 1/2 (/ J (cos (/ -1/2 K)))))) into (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (log (* 1/2 (/ J (cos (/ -1/2 K))))) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in J * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [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 K)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (cos (/ -1/2 K))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1/2 (cos (/ -1/2 K))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow U 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow U 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 K)))) (log J)) (log U)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 2 (- (+ (log (/ 1/2 (cos (/ -1/2 (/ 1 (- K)))))) (log (/ 1 (- J)))) (log (/ 1 (- U)))))) 1)) into (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (log (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 (* (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3) (pow (/ (/ U (* J 2)) (cos (/ K 2))) 3))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (- (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (* (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1) (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * [exit]simplify: Simplified to (sqrt (+ (pow (/ (/ (/ U J) 2) (cos (/ K 2))) (+ 3 1)) (- 1 (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2))))))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (/ (/ (/ U 2) J) (cos (/ K 2))) (+ 3 1)))) * [enter]simplify: Simplifying (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (* (* (* J (cbrt (sqrt (+ 1 (* (* 1/2 (/ U J)) (* 1/2 (/ U J))))))) (* -2 (cos (/ K 2)))) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) 1/3)) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U))))))) (* (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cos (/ K 2))) (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* J -2)))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) 1/3)) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cos (/ K 2))) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* J -2))) (cbrt (sqrt (+ (pow (exp 2) (+ (- (log (/ -1 J)) (log (/ -1 U))) (log (/ 1/2 (cos (* 1/2 K)))))) 1)))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (* (* (cos (/ K 2)) (cbrt (sqrt (+ (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)) 1)))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* J -2))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) 1/3))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cos (/ K 2))) (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (* J -2))) (cbrt (sqrt (+ (pow (exp 2) (- (log (/ 1/2 (cos (* 1/2 K)))) (- (log J) (log U)))) 1)))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) 1/3))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (pow (exp 2) (+ (log (/ 1/2 (cos (* 1/2 K)))) (- (log (/ -1 J)) (log (/ -1 U)))))))) (* (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* J -2)) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cos (/ K 2))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (sqrt (+ 1 (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))))) 1/3) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (cos (/ K 2)) (cbrt (sqrt (+ (* (/ (* U 1/2) J) (/ (* U 1/2) J)) 1))))) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* J -2))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))) 1/3) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (cbrt (sqrt (+ 1 (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2))))))) (* (* J -2) (cos (/ K 2))))) (cbrt (sqrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U)))))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (pow (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))) 1/3) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (* J -2)) (* (cbrt (sqrt (+ 1 (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2))))))) (cos (/ K 2)))) (cbrt (sqrt (+ (pow (exp 2) (- (log (/ 1/2 (cos (* 1/2 K)))) (- (log (/ -1 U)) (log (/ -1 J))))) 1)))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ (exp (* 2 (- (+ (log U) (log 1/2)) (log J)))) 1)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))) (cbrt (sqrt (+ 1 (* (* (/ 1/2 J) U) (* (/ 1/2 J) U)))))) (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U J) 2) (cos (/ K 2))) (/ (/ (/ U J) 2) (cos (/ K 2)))) 1))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (exp (* 2 (- (+ (log (/ 1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ 1 U))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 (pow (exp 2) (- (log (/ 1/2 (cos (* K 1/2)))) (- (log J) (log U))))))) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* (* (* J -2) (cos (/ K 2))) (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (exp (* 2 (- (+ (log (/ -1 J)) (log (/ 1/2 (cos (* 1/2 K))))) (log (/ -1 U))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (pow (exp 2) (- (log (/ 1/2 (cos (* 1/2 K)))) (- (log (/ -1 U)) (log (/ -1 J))))) 1))) (* (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (* J -2)) (* (cbrt (sqrt (+ (* (/ (/ (/ U 2) J) (cos (/ K 2))) (/ (/ (/ U 2) J) (cos (/ K 2)))) 1))) (cos (/ K 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * [exit]simplify: Simplified to (* (* (* J -2) (cos (/ K 2))) (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs