30.836 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.103 * * * [progress]: [2/2] Setting up program. 0.111 * [progress]: [Phase 2 of 3] Improving. 0.111 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.111 * [simplify]: Simplifying: (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.111 * * [simplify]: iteration 0: 21 enodes 0.119 * * [simplify]: iteration 1: 51 enodes 0.128 * * [simplify]: iteration 2: 102 enodes 0.153 * * [simplify]: iteration 3: 257 enodes 0.268 * * [simplify]: iteration 4: 818 enodes 0.524 * * [simplify]: iteration 5: 2000 enodes 0.970 * * [simplify]: iteration complete: 2000 enodes 0.970 * * [simplify]: Extracting #0: cost 1 inf + 0 0.971 * * [simplify]: Extracting #1: cost 111 inf + 0 0.973 * * [simplify]: Extracting #2: cost 392 inf + 1 0.976 * * [simplify]: Extracting #3: cost 624 inf + 269 0.980 * * [simplify]: Extracting #4: cost 693 inf + 2160 0.986 * * [simplify]: Extracting #5: cost 597 inf + 23090 1.002 * * [simplify]: Extracting #6: cost 347 inf + 100377 1.066 * * [simplify]: Extracting #7: cost 30 inf + 225353 1.118 * * [simplify]: Extracting #8: cost 0 inf + 240022 1.184 * [simplify]: Simplified to: (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))) 1.196 * * [progress]: iteration 1 / 4 1.196 * * * [progress]: picking best candidate 1.201 * * * * [pick]: Picked # 1.201 * * * [progress]: localizing error 1.243 * * * [progress]: generating rewritten candidates 1.243 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.290 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.498 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 1.536 * * * [progress]: generating series expansions 1.536 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.536 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.536 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 1.536 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.536 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.536 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.536 * [taylor]: Taking taylor expansion of 1/2 in M 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (* K n) in M 1.537 * [taylor]: Taking taylor expansion of K in M 1.537 * [backup-simplify]: Simplify K into K 1.537 * [taylor]: Taking taylor expansion of n in M 1.537 * [backup-simplify]: Simplify n into n 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.537 * [taylor]: Taking taylor expansion of 1/2 in M 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (* K m) in M 1.537 * [taylor]: Taking taylor expansion of K in M 1.537 * [backup-simplify]: Simplify K into K 1.537 * [taylor]: Taking taylor expansion of m in M 1.537 * [backup-simplify]: Simplify m into m 1.537 * [taylor]: Taking taylor expansion of M in M 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (* K n) into (* K n) 1.537 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.537 * [backup-simplify]: Simplify (* K m) into (* K m) 1.537 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.537 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.538 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.539 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.539 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.539 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.539 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.539 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.539 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.539 * [taylor]: Taking taylor expansion of 1/2 in K 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (* K n) in K 1.539 * [taylor]: Taking taylor expansion of K in K 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of n in K 1.539 * [backup-simplify]: Simplify n into n 1.539 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.539 * [taylor]: Taking taylor expansion of 1/2 in K 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (* K m) in K 1.539 * [taylor]: Taking taylor expansion of K in K 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of m in K 1.539 * [backup-simplify]: Simplify m into m 1.539 * [taylor]: Taking taylor expansion of M in K 1.540 * [backup-simplify]: Simplify M into M 1.540 * [backup-simplify]: Simplify (* 0 n) into 0 1.540 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.540 * [backup-simplify]: Simplify (* 0 m) into 0 1.541 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (- M) into (- M) 1.541 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.541 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.541 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.541 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.541 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.541 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.541 * [taylor]: Taking taylor expansion of 1/2 in n 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of (* K n) in n 1.541 * [taylor]: Taking taylor expansion of K in n 1.541 * [backup-simplify]: Simplify K into K 1.541 * [taylor]: Taking taylor expansion of n in n 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.541 * [taylor]: Taking taylor expansion of 1/2 in n 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.542 * [taylor]: Taking taylor expansion of (* K m) in n 1.542 * [taylor]: Taking taylor expansion of K in n 1.542 * [backup-simplify]: Simplify K into K 1.542 * [taylor]: Taking taylor expansion of m in n 1.542 * [backup-simplify]: Simplify m into m 1.542 * [taylor]: Taking taylor expansion of M in n 1.542 * [backup-simplify]: Simplify M into M 1.542 * [backup-simplify]: Simplify (* K 0) into 0 1.542 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.542 * [backup-simplify]: Simplify (* K m) into (* K m) 1.542 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.542 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.542 * [backup-simplify]: Simplify (- M) into (- M) 1.542 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.543 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.543 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.543 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.543 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.543 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.543 * [taylor]: Taking taylor expansion of 1/2 in m 1.543 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (* K n) in m 1.543 * [taylor]: Taking taylor expansion of K in m 1.543 * [backup-simplify]: Simplify K into K 1.543 * [taylor]: Taking taylor expansion of n in m 1.543 * [backup-simplify]: Simplify n into n 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.543 * [taylor]: Taking taylor expansion of 1/2 in m 1.543 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (* K m) in m 1.543 * [taylor]: Taking taylor expansion of K in m 1.543 * [backup-simplify]: Simplify K into K 1.543 * [taylor]: Taking taylor expansion of m in m 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of M in m 1.543 * [backup-simplify]: Simplify M into M 1.543 * [backup-simplify]: Simplify (* K n) into (* K n) 1.543 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.543 * [backup-simplify]: Simplify (* K 0) into 0 1.544 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.544 * [backup-simplify]: Simplify (- M) into (- M) 1.544 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.544 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.544 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.544 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.544 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.544 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.544 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.544 * [taylor]: Taking taylor expansion of 1/2 in m 1.544 * [backup-simplify]: Simplify 1/2 into 1/2 1.544 * [taylor]: Taking taylor expansion of (* K n) in m 1.544 * [taylor]: Taking taylor expansion of K in m 1.545 * [backup-simplify]: Simplify K into K 1.545 * [taylor]: Taking taylor expansion of n in m 1.545 * [backup-simplify]: Simplify n into n 1.545 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.545 * [taylor]: Taking taylor expansion of 1/2 in m 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of (* K m) in m 1.545 * [taylor]: Taking taylor expansion of K in m 1.545 * [backup-simplify]: Simplify K into K 1.545 * [taylor]: Taking taylor expansion of m in m 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [taylor]: Taking taylor expansion of M in m 1.545 * [backup-simplify]: Simplify M into M 1.545 * [backup-simplify]: Simplify (* K n) into (* K n) 1.545 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.545 * [backup-simplify]: Simplify (* K 0) into 0 1.545 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.546 * [backup-simplify]: Simplify (- M) into (- M) 1.546 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.546 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.546 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.546 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 1.546 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 1.547 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.547 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.547 * [taylor]: Taking taylor expansion of 1/2 in n 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (* K n) in n 1.547 * [taylor]: Taking taylor expansion of K in n 1.547 * [backup-simplify]: Simplify K into K 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [taylor]: Taking taylor expansion of M in n 1.547 * [backup-simplify]: Simplify M into M 1.547 * [backup-simplify]: Simplify (* K 0) into 0 1.548 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.548 * [backup-simplify]: Simplify (- M) into (- M) 1.548 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.548 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.548 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.548 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.548 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.548 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.548 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.548 * [taylor]: Taking taylor expansion of (- M) in K 1.548 * [taylor]: Taking taylor expansion of M in K 1.548 * [backup-simplify]: Simplify M into M 1.548 * [backup-simplify]: Simplify (- M) into (- M) 1.549 * [backup-simplify]: Simplify (- M) into (- M) 1.549 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.549 * [backup-simplify]: Simplify (- M) into (- M) 1.549 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.549 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.549 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.549 * [backup-simplify]: Simplify (- 0) into 0 1.549 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.549 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.549 * [taylor]: Taking taylor expansion of (- M) in M 1.549 * [taylor]: Taking taylor expansion of M in M 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (- 1) into -1 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (+ 0) into 0 1.551 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 1.551 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.552 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.553 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.553 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.553 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.554 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 1.554 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.554 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.554 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 1.554 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 1.554 * [taylor]: Taking taylor expansion of 1/2 in n 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.554 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 1.554 * [taylor]: Taking taylor expansion of K in n 1.554 * [backup-simplify]: Simplify K into K 1.555 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 1.555 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.555 * [taylor]: Taking taylor expansion of 1/2 in n 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of (* K n) in n 1.555 * [taylor]: Taking taylor expansion of K in n 1.555 * [backup-simplify]: Simplify K into K 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [taylor]: Taking taylor expansion of M in n 1.555 * [backup-simplify]: Simplify M into M 1.555 * [backup-simplify]: Simplify (* K 0) into 0 1.555 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.555 * [backup-simplify]: Simplify (- M) into (- M) 1.555 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.555 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.555 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.556 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.556 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.556 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.556 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 1.556 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 1.556 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.556 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.556 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.556 * [taylor]: Taking taylor expansion of 1/2 in K 1.556 * [backup-simplify]: Simplify 1/2 into 1/2 1.556 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.556 * [taylor]: Taking taylor expansion of K in K 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 1 into 1 1.556 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.556 * [taylor]: Taking taylor expansion of (- M) in K 1.556 * [taylor]: Taking taylor expansion of M in K 1.556 * [backup-simplify]: Simplify M into M 1.556 * [backup-simplify]: Simplify (- M) into (- M) 1.556 * [backup-simplify]: Simplify (- M) into (- M) 1.556 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.556 * [backup-simplify]: Simplify (- M) into (- M) 1.557 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.557 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.557 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.557 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.557 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.558 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.558 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [taylor]: Taking taylor expansion of 0 in M 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (+ 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.560 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.560 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.562 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 1.562 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.562 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 1.562 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.562 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.562 * [taylor]: Taking taylor expansion of 1/2 in K 1.562 * [backup-simplify]: Simplify 1/2 into 1/2 1.562 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.562 * [taylor]: Taking taylor expansion of K in K 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.562 * [taylor]: Taking taylor expansion of (- M) in K 1.562 * [taylor]: Taking taylor expansion of M in K 1.562 * [backup-simplify]: Simplify M into M 1.562 * [backup-simplify]: Simplify (- M) into (- M) 1.562 * [backup-simplify]: Simplify (- M) into (- M) 1.563 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.563 * [backup-simplify]: Simplify (- M) into (- M) 1.563 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.563 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.563 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.563 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.563 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.563 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in M 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [taylor]: Taking taylor expansion of 0 in M 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ 0) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.569 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 1.570 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.571 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 1.576 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 1.576 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 1.576 * [taylor]: Taking taylor expansion of 1/8 in n 1.576 * [backup-simplify]: Simplify 1/8 into 1/8 1.576 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 1.576 * [taylor]: Taking taylor expansion of (pow K 2) in n 1.576 * [taylor]: Taking taylor expansion of K in n 1.576 * [backup-simplify]: Simplify K into K 1.576 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.576 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.576 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.576 * [taylor]: Taking taylor expansion of 1/2 in n 1.576 * [backup-simplify]: Simplify 1/2 into 1/2 1.576 * [taylor]: Taking taylor expansion of (* K n) in n 1.576 * [taylor]: Taking taylor expansion of K in n 1.576 * [backup-simplify]: Simplify K into K 1.576 * [taylor]: Taking taylor expansion of n in n 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of M in n 1.576 * [backup-simplify]: Simplify M into M 1.576 * [backup-simplify]: Simplify (* K 0) into 0 1.577 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.577 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.577 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.577 * [backup-simplify]: Simplify (* K K) into (pow K 2) 1.577 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.577 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.578 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 1.578 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 1.578 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.578 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.578 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.578 * [taylor]: Taking taylor expansion of 1/8 in K 1.578 * [backup-simplify]: Simplify 1/8 into 1/8 1.579 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.579 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.579 * [taylor]: Taking taylor expansion of K in K 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.579 * [taylor]: Taking taylor expansion of (- M) in K 1.579 * [taylor]: Taking taylor expansion of M in K 1.579 * [backup-simplify]: Simplify M into M 1.579 * [backup-simplify]: Simplify (- M) into (- M) 1.579 * [backup-simplify]: Simplify (- M) into (- M) 1.579 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.579 * [backup-simplify]: Simplify (- M) into (- M) 1.579 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.579 * [backup-simplify]: Simplify (+ 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.580 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.581 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.581 * [backup-simplify]: Simplify (- 0) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.582 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 1.582 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 1.582 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 1.583 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 1.583 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 1.583 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 1.583 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 1.583 * [taylor]: Taking taylor expansion of 1/4 in K 1.583 * [backup-simplify]: Simplify 1/4 into 1/4 1.583 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.583 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.583 * [taylor]: Taking taylor expansion of K in K 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.583 * [taylor]: Taking taylor expansion of (- M) in K 1.583 * [taylor]: Taking taylor expansion of M in K 1.583 * [backup-simplify]: Simplify M into M 1.583 * [backup-simplify]: Simplify (- M) into (- M) 1.583 * [backup-simplify]: Simplify (- M) into (- M) 1.583 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.583 * [backup-simplify]: Simplify (- M) into (- M) 1.584 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.584 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.585 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.585 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.589 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.589 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.589 * [taylor]: Taking taylor expansion of 1/8 in K 1.589 * [backup-simplify]: Simplify 1/8 into 1/8 1.589 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.589 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.589 * [taylor]: Taking taylor expansion of K in K 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.589 * [taylor]: Taking taylor expansion of (- M) in K 1.589 * [taylor]: Taking taylor expansion of M in K 1.589 * [backup-simplify]: Simplify M into M 1.589 * [backup-simplify]: Simplify (- M) into (- M) 1.590 * [backup-simplify]: Simplify (- M) into (- M) 1.590 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.590 * [backup-simplify]: Simplify (- M) into (- M) 1.590 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.590 * [backup-simplify]: Simplify (+ 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.592 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.594 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.594 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.594 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.594 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.594 * [taylor]: Taking taylor expansion of 1/2 in M 1.594 * [backup-simplify]: Simplify 1/2 into 1/2 1.594 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.594 * [taylor]: Taking taylor expansion of (- M) in M 1.594 * [taylor]: Taking taylor expansion of M in M 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (- 1) into -1 1.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (+ 0) into 0 1.596 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.598 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.599 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.600 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.600 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.600 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.600 * [taylor]: Taking taylor expansion of 1/2 in M 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.600 * [taylor]: Taking taylor expansion of (- M) in M 1.600 * [taylor]: Taking taylor expansion of M in M 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (- 1) into -1 1.601 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.602 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 1.602 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.602 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.602 * [taylor]: Taking taylor expansion of 1/2 in M 1.602 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.602 * [taylor]: Taking taylor expansion of (* m K) in M 1.602 * [taylor]: Taking taylor expansion of m in M 1.602 * [backup-simplify]: Simplify m into m 1.602 * [taylor]: Taking taylor expansion of K in M 1.602 * [backup-simplify]: Simplify K into K 1.602 * [backup-simplify]: Simplify (* m K) into (* m K) 1.602 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.602 * [taylor]: Taking taylor expansion of 1/2 in M 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.603 * [taylor]: Taking taylor expansion of (* K n) in M 1.603 * [taylor]: Taking taylor expansion of K in M 1.603 * [backup-simplify]: Simplify K into K 1.603 * [taylor]: Taking taylor expansion of n in M 1.603 * [backup-simplify]: Simplify n into n 1.603 * [backup-simplify]: Simplify (* K n) into (* K n) 1.603 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.603 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.603 * [taylor]: Taking taylor expansion of M in M 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (/ 1 1) into 1 1.604 * [backup-simplify]: Simplify (- 1) into -1 1.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.605 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.605 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.605 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.605 * [taylor]: Taking taylor expansion of 1/2 in K 1.605 * [backup-simplify]: Simplify 1/2 into 1/2 1.605 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.605 * [taylor]: Taking taylor expansion of (* m K) in K 1.605 * [taylor]: Taking taylor expansion of m in K 1.605 * [backup-simplify]: Simplify m into m 1.605 * [taylor]: Taking taylor expansion of K in K 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* m 0) into 0 1.605 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.605 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.606 * [taylor]: Taking taylor expansion of 1/2 in K 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.606 * [taylor]: Taking taylor expansion of (* K n) in K 1.606 * [taylor]: Taking taylor expansion of K in K 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of n in K 1.606 * [backup-simplify]: Simplify n into n 1.606 * [backup-simplify]: Simplify (* 0 n) into 0 1.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.606 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.606 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.606 * [taylor]: Taking taylor expansion of M in K 1.606 * [backup-simplify]: Simplify M into M 1.606 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.607 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.607 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.607 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.607 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.607 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.607 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.607 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.607 * [taylor]: Taking taylor expansion of 1/2 in n 1.607 * [backup-simplify]: Simplify 1/2 into 1/2 1.608 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.608 * [taylor]: Taking taylor expansion of (* m K) in n 1.608 * [taylor]: Taking taylor expansion of m in n 1.608 * [backup-simplify]: Simplify m into m 1.608 * [taylor]: Taking taylor expansion of K in n 1.608 * [backup-simplify]: Simplify K into K 1.608 * [backup-simplify]: Simplify (* m K) into (* m K) 1.608 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.608 * [taylor]: Taking taylor expansion of 1/2 in n 1.608 * [backup-simplify]: Simplify 1/2 into 1/2 1.608 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.608 * [taylor]: Taking taylor expansion of (* K n) in n 1.608 * [taylor]: Taking taylor expansion of K in n 1.608 * [backup-simplify]: Simplify K into K 1.608 * [taylor]: Taking taylor expansion of n in n 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (* K 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.608 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.608 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.608 * [taylor]: Taking taylor expansion of M in n 1.608 * [backup-simplify]: Simplify M into M 1.608 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.608 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.608 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.609 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.609 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.609 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.609 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.609 * [taylor]: Taking taylor expansion of 1/2 in m 1.609 * [backup-simplify]: Simplify 1/2 into 1/2 1.609 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.609 * [taylor]: Taking taylor expansion of (* m K) in m 1.609 * [taylor]: Taking taylor expansion of m in m 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [taylor]: Taking taylor expansion of K in m 1.609 * [backup-simplify]: Simplify K into K 1.609 * [backup-simplify]: Simplify (* 0 K) into 0 1.609 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.609 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.609 * [taylor]: Taking taylor expansion of 1/2 in m 1.609 * [backup-simplify]: Simplify 1/2 into 1/2 1.609 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.609 * [taylor]: Taking taylor expansion of (* K n) in m 1.609 * [taylor]: Taking taylor expansion of K in m 1.609 * [backup-simplify]: Simplify K into K 1.609 * [taylor]: Taking taylor expansion of n in m 1.609 * [backup-simplify]: Simplify n into n 1.609 * [backup-simplify]: Simplify (* K n) into (* K n) 1.609 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.609 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.610 * [taylor]: Taking taylor expansion of M in m 1.610 * [backup-simplify]: Simplify M into M 1.610 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.610 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.610 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.610 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.610 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.610 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.610 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.610 * [taylor]: Taking taylor expansion of 1/2 in m 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.610 * [taylor]: Taking taylor expansion of (* m K) in m 1.610 * [taylor]: Taking taylor expansion of m in m 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of K in m 1.610 * [backup-simplify]: Simplify K into K 1.610 * [backup-simplify]: Simplify (* 0 K) into 0 1.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.610 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.610 * [taylor]: Taking taylor expansion of 1/2 in m 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.611 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.611 * [taylor]: Taking taylor expansion of (* K n) in m 1.611 * [taylor]: Taking taylor expansion of K in m 1.611 * [backup-simplify]: Simplify K into K 1.611 * [taylor]: Taking taylor expansion of n in m 1.611 * [backup-simplify]: Simplify n into n 1.611 * [backup-simplify]: Simplify (* K n) into (* K n) 1.611 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.611 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.611 * [taylor]: Taking taylor expansion of M in m 1.611 * [backup-simplify]: Simplify M into M 1.611 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.611 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.611 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.611 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.611 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.611 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.611 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.611 * [taylor]: Taking taylor expansion of 1/2 in n 1.611 * [backup-simplify]: Simplify 1/2 into 1/2 1.611 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.611 * [taylor]: Taking taylor expansion of (* m K) in n 1.611 * [taylor]: Taking taylor expansion of m in n 1.611 * [backup-simplify]: Simplify m into m 1.611 * [taylor]: Taking taylor expansion of K in n 1.611 * [backup-simplify]: Simplify K into K 1.611 * [backup-simplify]: Simplify (* m K) into (* m K) 1.611 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.611 * [taylor]: Taking taylor expansion of 1/2 in n 1.611 * [backup-simplify]: Simplify 1/2 into 1/2 1.611 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.611 * [taylor]: Taking taylor expansion of (* K n) in n 1.611 * [taylor]: Taking taylor expansion of K in n 1.611 * [backup-simplify]: Simplify K into K 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* K 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.612 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.612 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.612 * [taylor]: Taking taylor expansion of M in n 1.612 * [backup-simplify]: Simplify M into M 1.612 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.612 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.612 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.612 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.612 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.612 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.612 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.613 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.613 * [taylor]: Taking taylor expansion of 1/2 in K 1.613 * [backup-simplify]: Simplify 1/2 into 1/2 1.613 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.613 * [taylor]: Taking taylor expansion of (* m K) in K 1.613 * [taylor]: Taking taylor expansion of m in K 1.613 * [backup-simplify]: Simplify m into m 1.613 * [taylor]: Taking taylor expansion of K in K 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (* m 0) into 0 1.613 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.613 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.613 * [taylor]: Taking taylor expansion of 1/2 in K 1.613 * [backup-simplify]: Simplify 1/2 into 1/2 1.613 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.613 * [taylor]: Taking taylor expansion of (* K n) in K 1.613 * [taylor]: Taking taylor expansion of K in K 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [taylor]: Taking taylor expansion of n in K 1.613 * [backup-simplify]: Simplify n into n 1.613 * [backup-simplify]: Simplify (* 0 n) into 0 1.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.614 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.614 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.614 * [taylor]: Taking taylor expansion of M in K 1.614 * [backup-simplify]: Simplify M into M 1.614 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.614 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.614 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.614 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.614 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.614 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.614 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.614 * [taylor]: Taking taylor expansion of 1/2 in M 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.614 * [taylor]: Taking taylor expansion of (* m K) in M 1.614 * [taylor]: Taking taylor expansion of m in M 1.614 * [backup-simplify]: Simplify m into m 1.614 * [taylor]: Taking taylor expansion of K in M 1.614 * [backup-simplify]: Simplify K into K 1.614 * [backup-simplify]: Simplify (* m K) into (* m K) 1.614 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.614 * [taylor]: Taking taylor expansion of 1/2 in M 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.615 * [taylor]: Taking taylor expansion of (* K n) in M 1.615 * [taylor]: Taking taylor expansion of K in M 1.615 * [backup-simplify]: Simplify K into K 1.615 * [taylor]: Taking taylor expansion of n in M 1.615 * [backup-simplify]: Simplify n into n 1.615 * [backup-simplify]: Simplify (* K n) into (* K n) 1.615 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.615 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.615 * [taylor]: Taking taylor expansion of M in M 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify (- 1) into -1 1.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.616 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.616 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.616 * [taylor]: Taking taylor expansion of 0 in n 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in M 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in M 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in M 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in n 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in M 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in M 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1.617 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.617 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 1.617 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.617 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.617 * [taylor]: Taking taylor expansion of M in M 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.617 * [taylor]: Taking taylor expansion of 1/2 in M 1.617 * [backup-simplify]: Simplify 1/2 into 1/2 1.617 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.617 * [taylor]: Taking taylor expansion of (* m K) in M 1.617 * [taylor]: Taking taylor expansion of m in M 1.617 * [backup-simplify]: Simplify m into m 1.617 * [taylor]: Taking taylor expansion of K in M 1.617 * [backup-simplify]: Simplify K into K 1.617 * [backup-simplify]: Simplify (* m K) into (* m K) 1.618 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.618 * [taylor]: Taking taylor expansion of 1/2 in M 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.618 * [taylor]: Taking taylor expansion of (* K n) in M 1.618 * [taylor]: Taking taylor expansion of K in M 1.618 * [backup-simplify]: Simplify K into K 1.618 * [taylor]: Taking taylor expansion of n in M 1.618 * [backup-simplify]: Simplify n into n 1.618 * [backup-simplify]: Simplify (* K n) into (* K n) 1.618 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.618 * [backup-simplify]: Simplify (+ 1 0) into 1 1.618 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.618 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.618 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.618 * [taylor]: Taking taylor expansion of M in K 1.618 * [backup-simplify]: Simplify M into M 1.618 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.618 * [taylor]: Taking taylor expansion of 1/2 in K 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.618 * [taylor]: Taking taylor expansion of (* m K) in K 1.618 * [taylor]: Taking taylor expansion of m in K 1.618 * [backup-simplify]: Simplify m into m 1.618 * [taylor]: Taking taylor expansion of K in K 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* m 0) into 0 1.619 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.619 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.619 * [taylor]: Taking taylor expansion of 1/2 in K 1.619 * [backup-simplify]: Simplify 1/2 into 1/2 1.619 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.619 * [taylor]: Taking taylor expansion of (* K n) in K 1.619 * [taylor]: Taking taylor expansion of K in K 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [taylor]: Taking taylor expansion of n in K 1.619 * [backup-simplify]: Simplify n into n 1.619 * [backup-simplify]: Simplify (* 0 n) into 0 1.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.619 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.620 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.620 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.620 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.620 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.620 * [taylor]: Taking taylor expansion of M in n 1.620 * [backup-simplify]: Simplify M into M 1.620 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.620 * [taylor]: Taking taylor expansion of 1/2 in n 1.620 * [backup-simplify]: Simplify 1/2 into 1/2 1.620 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.620 * [taylor]: Taking taylor expansion of (* m K) in n 1.620 * [taylor]: Taking taylor expansion of m in n 1.620 * [backup-simplify]: Simplify m into m 1.620 * [taylor]: Taking taylor expansion of K in n 1.620 * [backup-simplify]: Simplify K into K 1.620 * [backup-simplify]: Simplify (* m K) into (* m K) 1.620 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.620 * [taylor]: Taking taylor expansion of 1/2 in n 1.620 * [backup-simplify]: Simplify 1/2 into 1/2 1.620 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.620 * [taylor]: Taking taylor expansion of (* K n) in n 1.620 * [taylor]: Taking taylor expansion of K in n 1.620 * [backup-simplify]: Simplify K into K 1.620 * [taylor]: Taking taylor expansion of n in n 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* K 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.621 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.621 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.621 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.621 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.621 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.621 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.621 * [taylor]: Taking taylor expansion of M in m 1.621 * [backup-simplify]: Simplify M into M 1.621 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.621 * [taylor]: Taking taylor expansion of 1/2 in m 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.621 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.621 * [taylor]: Taking taylor expansion of (* m K) in m 1.621 * [taylor]: Taking taylor expansion of m in m 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [taylor]: Taking taylor expansion of K in m 1.621 * [backup-simplify]: Simplify K into K 1.621 * [backup-simplify]: Simplify (* 0 K) into 0 1.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.622 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.622 * [taylor]: Taking taylor expansion of 1/2 in m 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.622 * [taylor]: Taking taylor expansion of (* K n) in m 1.622 * [taylor]: Taking taylor expansion of K in m 1.622 * [backup-simplify]: Simplify K into K 1.622 * [taylor]: Taking taylor expansion of n in m 1.622 * [backup-simplify]: Simplify n into n 1.622 * [backup-simplify]: Simplify (* K n) into (* K n) 1.622 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.622 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.622 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.622 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.622 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.622 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.622 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.622 * [taylor]: Taking taylor expansion of M in m 1.622 * [backup-simplify]: Simplify M into M 1.622 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.622 * [taylor]: Taking taylor expansion of 1/2 in m 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.622 * [taylor]: Taking taylor expansion of (* m K) in m 1.622 * [taylor]: Taking taylor expansion of m in m 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [taylor]: Taking taylor expansion of K in m 1.622 * [backup-simplify]: Simplify K into K 1.622 * [backup-simplify]: Simplify (* 0 K) into 0 1.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.623 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.623 * [taylor]: Taking taylor expansion of 1/2 in m 1.623 * [backup-simplify]: Simplify 1/2 into 1/2 1.623 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.623 * [taylor]: Taking taylor expansion of (* K n) in m 1.623 * [taylor]: Taking taylor expansion of K in m 1.623 * [backup-simplify]: Simplify K into K 1.623 * [taylor]: Taking taylor expansion of n in m 1.623 * [backup-simplify]: Simplify n into n 1.623 * [backup-simplify]: Simplify (* K n) into (* K n) 1.623 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.623 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.623 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.623 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.623 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.623 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.623 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.623 * [taylor]: Taking taylor expansion of M in n 1.623 * [backup-simplify]: Simplify M into M 1.623 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.623 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.623 * [taylor]: Taking taylor expansion of 1/2 in n 1.624 * [backup-simplify]: Simplify 1/2 into 1/2 1.624 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.624 * [taylor]: Taking taylor expansion of (* m K) in n 1.624 * [taylor]: Taking taylor expansion of m in n 1.624 * [backup-simplify]: Simplify m into m 1.624 * [taylor]: Taking taylor expansion of K in n 1.624 * [backup-simplify]: Simplify K into K 1.624 * [backup-simplify]: Simplify (* m K) into (* m K) 1.624 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.624 * [taylor]: Taking taylor expansion of 1/2 in n 1.624 * [backup-simplify]: Simplify 1/2 into 1/2 1.624 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.624 * [taylor]: Taking taylor expansion of (* K n) in n 1.624 * [taylor]: Taking taylor expansion of K in n 1.624 * [backup-simplify]: Simplify K into K 1.624 * [taylor]: Taking taylor expansion of n in n 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* K 0) into 0 1.624 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.624 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.624 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.624 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.624 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.624 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.625 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.625 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.625 * [taylor]: Taking taylor expansion of M in K 1.625 * [backup-simplify]: Simplify M into M 1.625 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.625 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.625 * [taylor]: Taking taylor expansion of 1/2 in K 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.625 * [taylor]: Taking taylor expansion of (* m K) in K 1.625 * [taylor]: Taking taylor expansion of m in K 1.625 * [backup-simplify]: Simplify m into m 1.625 * [taylor]: Taking taylor expansion of K in K 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (* m 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.625 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.625 * [taylor]: Taking taylor expansion of 1/2 in K 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.625 * [taylor]: Taking taylor expansion of (* K n) in K 1.625 * [taylor]: Taking taylor expansion of K in K 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of n in K 1.625 * [backup-simplify]: Simplify n into n 1.625 * [backup-simplify]: Simplify (* 0 n) into 0 1.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.626 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.626 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.626 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.626 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.626 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.626 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.626 * [taylor]: Taking taylor expansion of M in M 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (/ 1 1) into 1 1.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.626 * [taylor]: Taking taylor expansion of 1/2 in M 1.627 * [backup-simplify]: Simplify 1/2 into 1/2 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.627 * [taylor]: Taking taylor expansion of (* m K) in M 1.627 * [taylor]: Taking taylor expansion of m in M 1.627 * [backup-simplify]: Simplify m into m 1.627 * [taylor]: Taking taylor expansion of K in M 1.627 * [backup-simplify]: Simplify K into K 1.627 * [backup-simplify]: Simplify (* m K) into (* m K) 1.627 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.627 * [taylor]: Taking taylor expansion of 1/2 in M 1.627 * [backup-simplify]: Simplify 1/2 into 1/2 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.627 * [taylor]: Taking taylor expansion of (* K n) in M 1.627 * [taylor]: Taking taylor expansion of K in M 1.627 * [backup-simplify]: Simplify K into K 1.627 * [taylor]: Taking taylor expansion of n in M 1.627 * [backup-simplify]: Simplify n into n 1.627 * [backup-simplify]: Simplify (* K n) into (* K n) 1.627 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.627 * [backup-simplify]: Simplify (+ 1 0) into 1 1.627 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.628 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.628 * [taylor]: Taking taylor expansion of 0 in n 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in K 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in M 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in K 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in M 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in M 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in n 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in K 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in M 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in K 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [taylor]: Taking taylor expansion of 0 in M 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1.628 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.629 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 1.629 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 1.629 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 1.629 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.629 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.629 * [taylor]: Taking taylor expansion of 1/2 in M 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of m in M 1.629 * [backup-simplify]: Simplify m into m 1.629 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.629 * [taylor]: Taking taylor expansion of 1/2 in M 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of n in M 1.629 * [backup-simplify]: Simplify n into n 1.629 * [taylor]: Taking taylor expansion of M in M 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.629 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.629 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.629 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 1.629 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.629 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.629 * [taylor]: Taking taylor expansion of 1/2 in n 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of m in n 1.629 * [backup-simplify]: Simplify m into m 1.629 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.630 * [taylor]: Taking taylor expansion of 1/2 in n 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of M in n 1.630 * [backup-simplify]: Simplify M into M 1.630 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.630 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 1.630 * [backup-simplify]: Simplify (- M) into (- M) 1.630 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 1.630 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.630 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.630 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.630 * [taylor]: Taking taylor expansion of 1/2 in m 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [taylor]: Taking taylor expansion of m in m 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.630 * [taylor]: Taking taylor expansion of 1/2 in m 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [taylor]: Taking taylor expansion of n in m 1.630 * [backup-simplify]: Simplify n into n 1.630 * [taylor]: Taking taylor expansion of M in m 1.630 * [backup-simplify]: Simplify M into M 1.631 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.631 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.631 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.631 * [backup-simplify]: Simplify (- M) into (- M) 1.631 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.631 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.631 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.631 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.631 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.631 * [taylor]: Taking taylor expansion of 1/2 in m 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of m in m 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.631 * [taylor]: Taking taylor expansion of 1/2 in m 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of n in m 1.631 * [backup-simplify]: Simplify n into n 1.631 * [taylor]: Taking taylor expansion of M in m 1.631 * [backup-simplify]: Simplify M into M 1.631 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.631 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.631 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.631 * [backup-simplify]: Simplify (- M) into (- M) 1.631 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.632 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.632 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 1.632 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.632 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.632 * [taylor]: Taking taylor expansion of 1/2 in n 1.632 * [backup-simplify]: Simplify 1/2 into 1/2 1.632 * [taylor]: Taking taylor expansion of n in n 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of M in n 1.632 * [backup-simplify]: Simplify M into M 1.632 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.632 * [backup-simplify]: Simplify (- M) into (- M) 1.632 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.632 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 1.632 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.632 * [taylor]: Taking taylor expansion of M in M 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.634 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.635 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.635 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.635 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.635 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.635 * [taylor]: Taking taylor expansion of 1/2 in n 1.636 * [backup-simplify]: Simplify 1/2 into 1/2 1.636 * [taylor]: Taking taylor expansion of n in n 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [taylor]: Taking taylor expansion of M in n 1.636 * [backup-simplify]: Simplify M into M 1.636 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.636 * [backup-simplify]: Simplify (- M) into (- M) 1.636 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.636 * [taylor]: Taking taylor expansion of (- M) in M 1.636 * [taylor]: Taking taylor expansion of M in M 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.638 * [backup-simplify]: Simplify (- 0) into 0 1.639 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.639 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 1.639 * [taylor]: Taking taylor expansion of (- M) in M 1.639 * [taylor]: Taking taylor expansion of M in M 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.643 * [taylor]: Taking taylor expansion of 1/4 in n 1.643 * [backup-simplify]: Simplify 1/4 into 1/4 1.643 * [taylor]: Taking taylor expansion of 1/4 in M 1.644 * [backup-simplify]: Simplify 1/4 into 1/4 1.644 * [backup-simplify]: Simplify 1/4 into 1/4 1.644 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.645 * [taylor]: Taking taylor expansion of 1/2 in M 1.645 * [backup-simplify]: Simplify 1/2 into 1/2 1.645 * [backup-simplify]: Simplify 1/2 into 1/2 1.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.647 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 1.648 * [taylor]: Taking taylor expansion of 1/4 in M 1.648 * [backup-simplify]: Simplify 1/4 into 1/4 1.648 * [backup-simplify]: Simplify 1/4 into 1/4 1.648 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 1.649 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 1.649 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 1.649 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 1.649 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.649 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.649 * [taylor]: Taking taylor expansion of 1/2 in M 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.649 * [taylor]: Taking taylor expansion of m in M 1.649 * [backup-simplify]: Simplify m into m 1.649 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.649 * [taylor]: Taking taylor expansion of 1/2 in M 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.649 * [taylor]: Taking taylor expansion of n in M 1.649 * [backup-simplify]: Simplify n into n 1.649 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.649 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.649 * [taylor]: Taking taylor expansion of M in M 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [backup-simplify]: Simplify (- 1) into -1 1.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.651 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 1.651 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.651 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.651 * [taylor]: Taking taylor expansion of 1/2 in n 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.651 * [taylor]: Taking taylor expansion of m in n 1.651 * [backup-simplify]: Simplify m into m 1.651 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.651 * [taylor]: Taking taylor expansion of 1/2 in n 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (/ 1 1) into 1 1.652 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.652 * [taylor]: Taking taylor expansion of M in n 1.652 * [backup-simplify]: Simplify M into M 1.652 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.653 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.653 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.653 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.653 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.654 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.654 * [taylor]: Taking taylor expansion of 1/2 in m 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.654 * [taylor]: Taking taylor expansion of m in m 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.654 * [taylor]: Taking taylor expansion of 1/2 in m 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.654 * [taylor]: Taking taylor expansion of n in m 1.654 * [backup-simplify]: Simplify n into n 1.654 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.654 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.654 * [taylor]: Taking taylor expansion of M in m 1.654 * [backup-simplify]: Simplify M into M 1.655 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.655 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.656 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.656 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.656 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.656 * [taylor]: Taking taylor expansion of 1/2 in m 1.656 * [backup-simplify]: Simplify 1/2 into 1/2 1.656 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.656 * [taylor]: Taking taylor expansion of m in m 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.657 * [taylor]: Taking taylor expansion of 1/2 in m 1.657 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.657 * [taylor]: Taking taylor expansion of n in m 1.657 * [backup-simplify]: Simplify n into n 1.657 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.657 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.657 * [taylor]: Taking taylor expansion of M in m 1.657 * [backup-simplify]: Simplify M into M 1.657 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.658 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.659 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.659 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.659 * [taylor]: Taking taylor expansion of 1/4 in n 1.659 * [backup-simplify]: Simplify 1/4 into 1/4 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.661 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.661 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.661 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.661 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.661 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.662 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.662 * [taylor]: Taking taylor expansion of 1/2 in n 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.662 * [taylor]: Taking taylor expansion of M in n 1.662 * [backup-simplify]: Simplify M into M 1.662 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.668 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.668 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.668 * [taylor]: Taking taylor expansion of M in n 1.668 * [backup-simplify]: Simplify M into M 1.668 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.668 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.668 * [taylor]: Taking taylor expansion of 1/4 in n 1.668 * [backup-simplify]: Simplify 1/4 into 1/4 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.668 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.668 * [taylor]: Taking taylor expansion of n in n 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.672 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.672 * [taylor]: Taking taylor expansion of (* M n) in n 1.672 * [taylor]: Taking taylor expansion of M in n 1.672 * [backup-simplify]: Simplify M into M 1.672 * [taylor]: Taking taylor expansion of n in n 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* M 0) into 0 1.673 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.673 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.673 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.674 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.674 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.674 * [taylor]: Taking taylor expansion of 1/4 in M 1.674 * [backup-simplify]: Simplify 1/4 into 1/4 1.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.675 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.675 * [taylor]: Taking taylor expansion of 1/2 in M 1.675 * [backup-simplify]: Simplify 1/2 into 1/2 1.675 * [taylor]: Taking taylor expansion of 1/4 in M 1.675 * [backup-simplify]: Simplify 1/4 into 1/4 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.679 * [backup-simplify]: Simplify (- 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 1.681 * [taylor]: Taking taylor expansion of 0 in n 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.684 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.684 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.684 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.684 * [taylor]: Taking taylor expansion of M in M 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.686 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.686 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.686 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.686 * [taylor]: Taking taylor expansion of M in M 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [taylor]: Taking taylor expansion of 0 in M 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in n 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.697 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.698 * [backup-simplify]: Simplify (- 0) into 0 1.698 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.698 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.698 * [taylor]: Taking taylor expansion of M in M 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (* 1 1) into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.701 * [backup-simplify]: Simplify (- 0) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [taylor]: Taking taylor expansion of 0 in M 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [taylor]: Taking taylor expansion of 0 in M 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (- 1) into -1 1.702 * [backup-simplify]: Simplify -1 into -1 1.703 * [backup-simplify]: Simplify (- 1) into -1 1.703 * [backup-simplify]: Simplify -1 into -1 1.704 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.704 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 1.704 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 1.704 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 1.704 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.704 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.704 * [taylor]: Taking taylor expansion of M in M 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (/ 1 1) into 1 1.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.705 * [taylor]: Taking taylor expansion of 1/2 in M 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.705 * [taylor]: Taking taylor expansion of m in M 1.705 * [backup-simplify]: Simplify m into m 1.705 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.705 * [taylor]: Taking taylor expansion of 1/2 in M 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.705 * [taylor]: Taking taylor expansion of n in M 1.705 * [backup-simplify]: Simplify n into n 1.705 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.706 * [backup-simplify]: Simplify (+ 1 0) into 1 1.706 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 1.706 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.706 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.706 * [taylor]: Taking taylor expansion of M in n 1.706 * [backup-simplify]: Simplify M into M 1.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.706 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.706 * [taylor]: Taking taylor expansion of 1/2 in n 1.706 * [backup-simplify]: Simplify 1/2 into 1/2 1.706 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.706 * [taylor]: Taking taylor expansion of m in n 1.706 * [backup-simplify]: Simplify m into m 1.706 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.706 * [taylor]: Taking taylor expansion of 1/2 in n 1.706 * [backup-simplify]: Simplify 1/2 into 1/2 1.706 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.707 * [taylor]: Taking taylor expansion of n in n 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.708 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.708 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.709 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.709 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.709 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.709 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.709 * [taylor]: Taking taylor expansion of M in m 1.709 * [backup-simplify]: Simplify M into M 1.709 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.709 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.709 * [taylor]: Taking taylor expansion of 1/2 in m 1.709 * [backup-simplify]: Simplify 1/2 into 1/2 1.709 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.709 * [taylor]: Taking taylor expansion of m in m 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.710 * [taylor]: Taking taylor expansion of 1/2 in m 1.710 * [backup-simplify]: Simplify 1/2 into 1/2 1.710 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.710 * [taylor]: Taking taylor expansion of n in m 1.710 * [backup-simplify]: Simplify n into n 1.710 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.710 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.711 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.711 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.711 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.711 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.711 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.711 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.712 * [taylor]: Taking taylor expansion of M in m 1.712 * [backup-simplify]: Simplify M into M 1.712 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.712 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.712 * [taylor]: Taking taylor expansion of 1/2 in m 1.712 * [backup-simplify]: Simplify 1/2 into 1/2 1.712 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.712 * [taylor]: Taking taylor expansion of m in m 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.712 * [taylor]: Taking taylor expansion of 1/2 in m 1.712 * [backup-simplify]: Simplify 1/2 into 1/2 1.712 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.712 * [taylor]: Taking taylor expansion of n in m 1.712 * [backup-simplify]: Simplify n into n 1.712 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.713 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.714 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.714 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.715 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.715 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.715 * [taylor]: Taking taylor expansion of 1/4 in n 1.715 * [backup-simplify]: Simplify 1/4 into 1/4 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.717 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.717 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.717 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.717 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.717 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.718 * [taylor]: Taking taylor expansion of 1/2 in n 1.718 * [backup-simplify]: Simplify 1/2 into 1/2 1.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.718 * [taylor]: Taking taylor expansion of n in n 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.718 * [taylor]: Taking taylor expansion of M in n 1.718 * [backup-simplify]: Simplify M into M 1.718 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify (- 0) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.723 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.723 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.723 * [taylor]: Taking taylor expansion of M in n 1.724 * [backup-simplify]: Simplify M into M 1.724 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.724 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.724 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.724 * [taylor]: Taking taylor expansion of 1/4 in n 1.724 * [backup-simplify]: Simplify 1/4 into 1/4 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.724 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (* 1 1) into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.725 * [taylor]: Taking taylor expansion of (* M n) in n 1.725 * [taylor]: Taking taylor expansion of M in n 1.725 * [backup-simplify]: Simplify M into M 1.725 * [taylor]: Taking taylor expansion of n in n 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* M 0) into 0 1.725 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.725 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.726 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.726 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.727 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.727 * [taylor]: Taking taylor expansion of 1/4 in M 1.727 * [backup-simplify]: Simplify 1/4 into 1/4 1.727 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.728 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.728 * [taylor]: Taking taylor expansion of 1/2 in M 1.728 * [backup-simplify]: Simplify 1/2 into 1/2 1.728 * [taylor]: Taking taylor expansion of 1/4 in M 1.728 * [backup-simplify]: Simplify 1/4 into 1/4 1.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.731 * [backup-simplify]: Simplify (- 0) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in n 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.736 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.736 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.736 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.736 * [taylor]: Taking taylor expansion of M in M 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.737 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.737 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.737 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.737 * [taylor]: Taking taylor expansion of M in M 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of 0 in M 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 1.742 * [taylor]: Taking taylor expansion of 0 in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.744 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.745 * [backup-simplify]: Simplify (- 0) into 0 1.745 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.745 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.745 * [taylor]: Taking taylor expansion of M in M 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (* 1 1) into 1 1.745 * [backup-simplify]: Simplify (/ 1 1) into 1 1.745 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [taylor]: Taking taylor expansion of 0 in M 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [taylor]: Taking taylor expansion of 0 in M 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (- 1) into -1 1.747 * [backup-simplify]: Simplify -1 into -1 1.748 * [backup-simplify]: Simplify (- 1) into -1 1.748 * [backup-simplify]: Simplify -1 into -1 1.748 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.748 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.748 * [backup-simplify]: Simplify (/ (* (+ m n) K) 2) into (* 1/2 (* K (+ m n))) 1.748 * [approximate]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in (m n K) around 0 1.748 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 1.749 * [taylor]: Taking taylor expansion of 1/2 in K 1.749 * [backup-simplify]: Simplify 1/2 into 1/2 1.749 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.749 * [taylor]: Taking taylor expansion of K in K 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (+ m n) in K 1.749 * [taylor]: Taking taylor expansion of m in K 1.749 * [backup-simplify]: Simplify m into m 1.749 * [taylor]: Taking taylor expansion of n in K 1.749 * [backup-simplify]: Simplify n into n 1.749 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in n 1.749 * [taylor]: Taking taylor expansion of 1/2 in n 1.749 * [backup-simplify]: Simplify 1/2 into 1/2 1.749 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.749 * [taylor]: Taking taylor expansion of K in n 1.749 * [backup-simplify]: Simplify K into K 1.749 * [taylor]: Taking taylor expansion of (+ m n) in n 1.749 * [taylor]: Taking taylor expansion of m in n 1.749 * [backup-simplify]: Simplify m into m 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in m 1.749 * [taylor]: Taking taylor expansion of 1/2 in m 1.749 * [backup-simplify]: Simplify 1/2 into 1/2 1.749 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.749 * [taylor]: Taking taylor expansion of K in m 1.749 * [backup-simplify]: Simplify K into K 1.749 * [taylor]: Taking taylor expansion of (+ m n) in m 1.749 * [taylor]: Taking taylor expansion of m in m 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of n in m 1.749 * [backup-simplify]: Simplify n into n 1.749 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in m 1.749 * [taylor]: Taking taylor expansion of 1/2 in m 1.749 * [backup-simplify]: Simplify 1/2 into 1/2 1.749 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.749 * [taylor]: Taking taylor expansion of K in m 1.749 * [backup-simplify]: Simplify K into K 1.749 * [taylor]: Taking taylor expansion of (+ m n) in m 1.749 * [taylor]: Taking taylor expansion of m in m 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of n in m 1.749 * [backup-simplify]: Simplify n into n 1.749 * [backup-simplify]: Simplify (+ 0 n) into n 1.749 * [backup-simplify]: Simplify (* K n) into (* K n) 1.749 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.749 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.749 * [taylor]: Taking taylor expansion of 1/2 in n 1.749 * [backup-simplify]: Simplify 1/2 into 1/2 1.749 * [taylor]: Taking taylor expansion of (* K n) in n 1.749 * [taylor]: Taking taylor expansion of K in n 1.749 * [backup-simplify]: Simplify K into K 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (* K 0) into 0 1.750 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.750 * [taylor]: Taking taylor expansion of 0 in K 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (+ 1 0) into 1 1.750 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 1.750 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 (* K n))) into (* 1/2 K) 1.750 * [taylor]: Taking taylor expansion of (* 1/2 K) in n 1.750 * [taylor]: Taking taylor expansion of 1/2 in n 1.750 * [backup-simplify]: Simplify 1/2 into 1/2 1.750 * [taylor]: Taking taylor expansion of K in n 1.750 * [backup-simplify]: Simplify K into K 1.750 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.750 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.750 * [taylor]: Taking taylor expansion of 1/2 in K 1.750 * [backup-simplify]: Simplify 1/2 into 1/2 1.750 * [taylor]: Taking taylor expansion of K in K 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.751 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.751 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.751 * [taylor]: Taking taylor expansion of 1/2 in K 1.751 * [backup-simplify]: Simplify 1/2 into 1/2 1.751 * [taylor]: Taking taylor expansion of K in K 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 (* K n)))) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in n 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [taylor]: Taking taylor expansion of 0 in K 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in K 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 1.753 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (m n K) around 0 1.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.753 * [taylor]: Taking taylor expansion of 1/2 in K 1.753 * [backup-simplify]: Simplify 1/2 into 1/2 1.753 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.753 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.753 * [taylor]: Taking taylor expansion of m in K 1.753 * [backup-simplify]: Simplify m into m 1.753 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.753 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.753 * [taylor]: Taking taylor expansion of n in K 1.753 * [backup-simplify]: Simplify n into n 1.753 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.753 * [taylor]: Taking taylor expansion of K in K 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.754 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 1.754 * [taylor]: Taking taylor expansion of 1/2 in n 1.754 * [backup-simplify]: Simplify 1/2 into 1/2 1.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.754 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.754 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.754 * [taylor]: Taking taylor expansion of m in n 1.754 * [backup-simplify]: Simplify m into m 1.754 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.754 * [taylor]: Taking taylor expansion of n in n 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [taylor]: Taking taylor expansion of K in n 1.754 * [backup-simplify]: Simplify K into K 1.754 * [backup-simplify]: Simplify (+ 0 1) into 1 1.754 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.754 * [taylor]: Taking taylor expansion of 1/2 in m 1.754 * [backup-simplify]: Simplify 1/2 into 1/2 1.754 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.755 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.755 * [taylor]: Taking taylor expansion of m in m 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.755 * [taylor]: Taking taylor expansion of n in m 1.755 * [backup-simplify]: Simplify n into n 1.755 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.755 * [taylor]: Taking taylor expansion of K in m 1.755 * [backup-simplify]: Simplify K into K 1.755 * [backup-simplify]: Simplify (+ 1 0) into 1 1.755 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.755 * [taylor]: Taking taylor expansion of 1/2 in m 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.755 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.755 * [taylor]: Taking taylor expansion of m in m 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.756 * [taylor]: Taking taylor expansion of n in m 1.756 * [backup-simplify]: Simplify n into n 1.756 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.756 * [taylor]: Taking taylor expansion of K in m 1.756 * [backup-simplify]: Simplify K into K 1.756 * [backup-simplify]: Simplify (+ 1 0) into 1 1.756 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.756 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.756 * [taylor]: Taking taylor expansion of (/ 1/2 K) in n 1.756 * [taylor]: Taking taylor expansion of 1/2 in n 1.756 * [backup-simplify]: Simplify 1/2 into 1/2 1.756 * [taylor]: Taking taylor expansion of K in n 1.756 * [backup-simplify]: Simplify K into K 1.756 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.757 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.757 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (* K n))) (* 0 (/ 1 K))) into (* 1/2 (/ 1 (* K n))) 1.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.757 * [taylor]: Taking taylor expansion of 1/2 in n 1.757 * [backup-simplify]: Simplify 1/2 into 1/2 1.757 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.757 * [taylor]: Taking taylor expansion of (* K n) in n 1.757 * [taylor]: Taking taylor expansion of K in n 1.757 * [backup-simplify]: Simplify K into K 1.757 * [taylor]: Taking taylor expansion of n in n 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (* K 0) into 0 1.757 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.757 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.758 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.758 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.758 * [taylor]: Taking taylor expansion of 1/2 in K 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.758 * [taylor]: Taking taylor expansion of K in K 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.758 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.758 * [taylor]: Taking taylor expansion of 1/2 in K 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.758 * [taylor]: Taking taylor expansion of K in K 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (* K n))) (* 0 (/ 1 K)))) into 0 1.760 * [taylor]: Taking taylor expansion of 0 in n 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in K 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in K 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 (* K n))) (* 0 (/ 1 K))))) into 0 1.763 * [taylor]: Taking taylor expansion of 0 in n 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [taylor]: Taking taylor expansion of 0 in K 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in K 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in K 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1/2 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.766 * [backup-simplify]: Simplify (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 1.766 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (m n K) around 0 1.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.766 * [taylor]: Taking taylor expansion of 1/2 in K 1.767 * [backup-simplify]: Simplify 1/2 into 1/2 1.767 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.767 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.767 * [taylor]: Taking taylor expansion of m in K 1.767 * [backup-simplify]: Simplify m into m 1.767 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.767 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.767 * [taylor]: Taking taylor expansion of n in K 1.767 * [backup-simplify]: Simplify n into n 1.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.767 * [taylor]: Taking taylor expansion of K in K 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.767 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 1.767 * [taylor]: Taking taylor expansion of 1/2 in n 1.767 * [backup-simplify]: Simplify 1/2 into 1/2 1.767 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.767 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.767 * [taylor]: Taking taylor expansion of m in n 1.767 * [backup-simplify]: Simplify m into m 1.767 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.767 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [taylor]: Taking taylor expansion of K in n 1.767 * [backup-simplify]: Simplify K into K 1.768 * [backup-simplify]: Simplify (+ 0 1) into 1 1.768 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.768 * [taylor]: Taking taylor expansion of 1/2 in m 1.768 * [backup-simplify]: Simplify 1/2 into 1/2 1.768 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.768 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.768 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.768 * [taylor]: Taking taylor expansion of m in m 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (/ 1 1) into 1 1.768 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.768 * [taylor]: Taking taylor expansion of n in m 1.768 * [backup-simplify]: Simplify n into n 1.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.768 * [taylor]: Taking taylor expansion of K in m 1.769 * [backup-simplify]: Simplify K into K 1.769 * [backup-simplify]: Simplify (+ 1 0) into 1 1.769 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.769 * [taylor]: Taking taylor expansion of 1/2 in m 1.769 * [backup-simplify]: Simplify 1/2 into 1/2 1.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.769 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.769 * [taylor]: Taking taylor expansion of m in m 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.770 * [taylor]: Taking taylor expansion of n in m 1.770 * [backup-simplify]: Simplify n into n 1.770 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.770 * [taylor]: Taking taylor expansion of K in m 1.770 * [backup-simplify]: Simplify K into K 1.770 * [backup-simplify]: Simplify (+ 1 0) into 1 1.771 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.771 * [taylor]: Taking taylor expansion of (/ 1/2 K) in n 1.771 * [taylor]: Taking taylor expansion of 1/2 in n 1.771 * [backup-simplify]: Simplify 1/2 into 1/2 1.771 * [taylor]: Taking taylor expansion of K in n 1.771 * [backup-simplify]: Simplify K into K 1.771 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.772 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.772 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (* K n))) (* 0 (/ 1 K))) into (* 1/2 (/ 1 (* K n))) 1.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.772 * [taylor]: Taking taylor expansion of 1/2 in n 1.772 * [backup-simplify]: Simplify 1/2 into 1/2 1.772 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.772 * [taylor]: Taking taylor expansion of (* K n) in n 1.772 * [taylor]: Taking taylor expansion of K in n 1.772 * [backup-simplify]: Simplify K into K 1.772 * [taylor]: Taking taylor expansion of n in n 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (* K 0) into 0 1.773 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.773 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.773 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.773 * [taylor]: Taking taylor expansion of 1/2 in K 1.773 * [backup-simplify]: Simplify 1/2 into 1/2 1.773 * [taylor]: Taking taylor expansion of K in K 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.774 * [backup-simplify]: Simplify 1/2 into 1/2 1.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.774 * [taylor]: Taking taylor expansion of 1/2 in K 1.774 * [backup-simplify]: Simplify 1/2 into 1/2 1.774 * [taylor]: Taking taylor expansion of K in K 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.775 * [backup-simplify]: Simplify 1/2 into 1/2 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (* K n))) (* 0 (/ 1 K)))) into 0 1.777 * [taylor]: Taking taylor expansion of 0 in n 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.778 * [taylor]: Taking taylor expansion of 0 in K 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0 1.778 * [taylor]: Taking taylor expansion of 0 in K 1.778 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 (* K n))) (* 0 (/ 1 K))))) into 0 1.783 * [taylor]: Taking taylor expansion of 0 in n 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [taylor]: Taking taylor expansion of 0 in K 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.785 * [taylor]: Taking taylor expansion of 0 in K 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.785 * [taylor]: Taking taylor expansion of 0 in K 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1/2 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 1.788 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 1.788 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 1.788 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.788 * [taylor]: Taking taylor expansion of K in K 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [taylor]: Taking taylor expansion of (+ m n) in K 1.788 * [taylor]: Taking taylor expansion of m in K 1.788 * [backup-simplify]: Simplify m into m 1.788 * [taylor]: Taking taylor expansion of n in K 1.788 * [backup-simplify]: Simplify n into n 1.788 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.788 * [taylor]: Taking taylor expansion of K in n 1.788 * [backup-simplify]: Simplify K into K 1.788 * [taylor]: Taking taylor expansion of (+ m n) in n 1.788 * [taylor]: Taking taylor expansion of m in n 1.788 * [backup-simplify]: Simplify m into m 1.788 * [taylor]: Taking taylor expansion of n in n 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.789 * [taylor]: Taking taylor expansion of K in m 1.789 * [backup-simplify]: Simplify K into K 1.789 * [taylor]: Taking taylor expansion of (+ m n) in m 1.789 * [taylor]: Taking taylor expansion of m in m 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [taylor]: Taking taylor expansion of n in m 1.789 * [backup-simplify]: Simplify n into n 1.789 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.789 * [taylor]: Taking taylor expansion of K in m 1.789 * [backup-simplify]: Simplify K into K 1.789 * [taylor]: Taking taylor expansion of (+ m n) in m 1.789 * [taylor]: Taking taylor expansion of m in m 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [taylor]: Taking taylor expansion of n in m 1.789 * [backup-simplify]: Simplify n into n 1.789 * [backup-simplify]: Simplify (+ 0 n) into n 1.789 * [backup-simplify]: Simplify (* K n) into (* K n) 1.789 * [taylor]: Taking taylor expansion of (* K n) in n 1.789 * [taylor]: Taking taylor expansion of K in n 1.789 * [backup-simplify]: Simplify K into K 1.789 * [taylor]: Taking taylor expansion of n in n 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* K 0) into 0 1.789 * [taylor]: Taking taylor expansion of 0 in K 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (+ 1 0) into 1 1.790 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 1.790 * [taylor]: Taking taylor expansion of K in n 1.790 * [backup-simplify]: Simplify K into K 1.790 * [taylor]: Taking taylor expansion of K in K 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.791 * [taylor]: Taking taylor expansion of K in K 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 1.792 * [taylor]: Taking taylor expansion of 0 in n 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in K 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [taylor]: Taking taylor expansion of 0 in K 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.792 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.792 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.792 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.792 * [taylor]: Taking taylor expansion of m in K 1.792 * [backup-simplify]: Simplify m into m 1.793 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.793 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.793 * [taylor]: Taking taylor expansion of n in K 1.793 * [backup-simplify]: Simplify n into n 1.793 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.793 * [taylor]: Taking taylor expansion of K in K 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.793 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.793 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.793 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.793 * [taylor]: Taking taylor expansion of m in n 1.793 * [backup-simplify]: Simplify m into m 1.793 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.793 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.793 * [taylor]: Taking taylor expansion of n in n 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.794 * [backup-simplify]: Simplify (/ 1 1) into 1 1.794 * [taylor]: Taking taylor expansion of K in n 1.794 * [backup-simplify]: Simplify K into K 1.794 * [backup-simplify]: Simplify (+ 0 1) into 1 1.794 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.794 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.795 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.795 * [taylor]: Taking taylor expansion of m in m 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (/ 1 1) into 1 1.795 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.795 * [taylor]: Taking taylor expansion of n in m 1.795 * [backup-simplify]: Simplify n into n 1.795 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.795 * [taylor]: Taking taylor expansion of K in m 1.795 * [backup-simplify]: Simplify K into K 1.796 * [backup-simplify]: Simplify (+ 1 0) into 1 1.796 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.796 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.796 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.796 * [taylor]: Taking taylor expansion of m in m 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.796 * [taylor]: Taking taylor expansion of n in m 1.796 * [backup-simplify]: Simplify n into n 1.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.797 * [taylor]: Taking taylor expansion of K in m 1.797 * [backup-simplify]: Simplify K into K 1.797 * [backup-simplify]: Simplify (+ 1 0) into 1 1.797 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.797 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.797 * [taylor]: Taking taylor expansion of K in n 1.797 * [backup-simplify]: Simplify K into K 1.797 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.799 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.799 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.799 * [taylor]: Taking taylor expansion of (* K n) in n 1.799 * [taylor]: Taking taylor expansion of K in n 1.799 * [backup-simplify]: Simplify K into K 1.799 * [taylor]: Taking taylor expansion of n in n 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (* K 0) into 0 1.799 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.799 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.799 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.800 * [taylor]: Taking taylor expansion of K in K 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.803 * [taylor]: Taking taylor expansion of K in K 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.806 * [taylor]: Taking taylor expansion of 0 in n 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.807 * [taylor]: Taking taylor expansion of 0 in K 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.807 * [taylor]: Taking taylor expansion of 0 in K 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.811 * [taylor]: Taking taylor expansion of 0 in n 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [taylor]: Taking taylor expansion of 0 in K 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.812 * [taylor]: Taking taylor expansion of 0 in K 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.812 * [taylor]: Taking taylor expansion of 0 in K 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 1.814 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.814 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.814 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.814 * [taylor]: Taking taylor expansion of m in K 1.814 * [backup-simplify]: Simplify m into m 1.814 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.814 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.814 * [taylor]: Taking taylor expansion of n in K 1.814 * [backup-simplify]: Simplify n into n 1.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.814 * [taylor]: Taking taylor expansion of K in K 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.814 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.814 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.814 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.814 * [taylor]: Taking taylor expansion of m in n 1.814 * [backup-simplify]: Simplify m into m 1.814 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.814 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [taylor]: Taking taylor expansion of K in n 1.815 * [backup-simplify]: Simplify K into K 1.815 * [backup-simplify]: Simplify (+ 0 1) into 1 1.815 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.815 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.815 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.815 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.815 * [taylor]: Taking taylor expansion of m in m 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.815 * [taylor]: Taking taylor expansion of n in m 1.815 * [backup-simplify]: Simplify n into n 1.815 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.815 * [taylor]: Taking taylor expansion of K in m 1.815 * [backup-simplify]: Simplify K into K 1.816 * [backup-simplify]: Simplify (+ 1 0) into 1 1.816 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.816 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.816 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.816 * [taylor]: Taking taylor expansion of m in m 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.816 * [taylor]: Taking taylor expansion of n in m 1.816 * [backup-simplify]: Simplify n into n 1.816 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.816 * [taylor]: Taking taylor expansion of K in m 1.816 * [backup-simplify]: Simplify K into K 1.817 * [backup-simplify]: Simplify (+ 1 0) into 1 1.817 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.817 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.817 * [taylor]: Taking taylor expansion of K in n 1.817 * [backup-simplify]: Simplify K into K 1.817 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.817 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.817 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.817 * [taylor]: Taking taylor expansion of (* K n) in n 1.817 * [taylor]: Taking taylor expansion of K in n 1.817 * [backup-simplify]: Simplify K into K 1.817 * [taylor]: Taking taylor expansion of n in n 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (* K 0) into 0 1.818 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.818 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.818 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.818 * [taylor]: Taking taylor expansion of K in K 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.818 * [taylor]: Taking taylor expansion of K in K 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in n 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in K 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.820 * [taylor]: Taking taylor expansion of 0 in K 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.822 * [taylor]: Taking taylor expansion of 0 in n 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [taylor]: Taking taylor expansion of 0 in K 1.822 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.823 * [taylor]: Taking taylor expansion of 0 in K 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.823 * [taylor]: Taking taylor expansion of 0 in K 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 1.826 * * * [progress]: simplifying candidates 1.826 * * * * [progress]: [ 1 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 2 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 3 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 4 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 5 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 6 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 7 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 8 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 9 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 10 / 118 ] simplifiying candidate # 1.826 * * * * [progress]: [ 11 / 118 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 1.827 * * * * [progress]: [ 12 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 13 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 14 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 15 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 16 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 17 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 18 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 19 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 20 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 21 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 22 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 23 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 24 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 25 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 26 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 27 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 28 / 118 ] simplifiying candidate # 1.827 * * * * [progress]: [ 29 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 30 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 31 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 32 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 33 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 34 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 35 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 36 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 37 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 38 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 39 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 40 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 41 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 42 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 43 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 44 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 45 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 46 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 47 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 48 / 118 ] simplifiying candidate # 1.828 * * * * [progress]: [ 49 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 50 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 51 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 52 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 53 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 54 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 55 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 56 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 57 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 58 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 59 / 118 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 1.829 * * * * [progress]: [ 60 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 61 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 62 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 63 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 64 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 65 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 66 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 67 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 68 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 69 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 70 / 118 ] simplifiying candidate # 1.829 * * * * [progress]: [ 71 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 72 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 73 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 74 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 75 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 76 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 77 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 78 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 79 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 80 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 81 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 82 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 83 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 84 / 118 ] simplifiying candidate #real (real->posit16 (/ (* (+ m n) K) 2))) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 1.830 * * * * [progress]: [ 85 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 86 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 87 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 88 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 89 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 90 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 91 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 92 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 93 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 94 / 118 ] simplifiying candidate # 1.830 * * * * [progress]: [ 95 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 96 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 97 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 98 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 99 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 100 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 101 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 102 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 103 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 104 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 105 / 118 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 1.831 * * * * [progress]: [ 106 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 107 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 108 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 109 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 110 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 111 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 112 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 113 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 114 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 115 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 116 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 117 / 118 ] simplifiying candidate # 1.831 * * * * [progress]: [ 118 / 118 ] simplifiying candidate # 1.832 * [simplify]: Simplifying: (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- (+ (log (+ m n)) (log K)) (log 2)) (- (log (* (+ m n) K)) (log 2)) (log (/ (* (+ m n) K) 2)) (exp (/ (* (+ m n) K) 2)) (/ (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K)) (* (* 2 2) 2)) (/ (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) (* (* 2 2) 2)) (* (cbrt (/ (* (+ m n) K) 2)) (cbrt (/ (* (+ m n) K) 2))) (cbrt (/ (* (+ m n) K) 2)) (* (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (/ (* (+ m n) K) 2)) (sqrt (/ (* (+ m n) K) 2)) (sqrt (/ (* (+ m n) K) 2)) (- (* (+ m n) K)) (- 2) (/ (+ m n) (* (cbrt 2) (cbrt 2))) (/ K (cbrt 2)) (/ (+ m n) (sqrt 2)) (/ K (sqrt 2)) (/ (+ m n) 1) (/ K 2) (/ 1 2) (/ 2 (* (+ m n) K)) (/ (* (+ m n) K) (* (cbrt 2) (cbrt 2))) (/ (* (+ m n) K) (sqrt 2)) (/ (* (+ m n) K) 1) (/ 2 K) (* 2 (+ (* m m) (- (* n n) (* m n)))) (* 2 (- m n)) (real->posit16 (/ (* (+ m n) K) 2)) (* (+ m n) K) (+ (log (+ m n)) (log K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K)) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* (+ m n) (* (cbrt K) (cbrt K))) (* (+ m n) (sqrt K)) (* (+ m n) 1) (* (cbrt (+ m n)) K) (* (sqrt (+ m n)) K) (* (+ m n) K) (* (+ m n) K) (* (+ (pow m 3) (pow n 3)) K) (* (- (* m m) (* n n)) K) (real->posit16 (* (+ m n) K)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 0 (+ (* 1/2 (* K n)) (* 1/2 (* K m))) (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0 (+ (* K n) (* K m)) (+ (* K n) (* K m)) 1.834 * * [simplify]: iteration 0: 199 enodes 1.900 * * [simplify]: iteration 1: 536 enodes 2.252 * * [simplify]: iteration 2: 1965 enodes 2.668 * * [simplify]: iteration 3: 2003 enodes 3.175 * * [simplify]: iteration complete: 2003 enodes 3.175 * * [simplify]: Extracting #0: cost 87 inf + 0 3.177 * * [simplify]: Extracting #1: cost 472 inf + 5 3.190 * * [simplify]: Extracting #2: cost 688 inf + 4363 3.204 * * [simplify]: Extracting #3: cost 470 inf + 37366 3.228 * * [simplify]: Extracting #4: cost 221 inf + 87031 3.252 * * [simplify]: Extracting #5: cost 35 inf + 133441 3.305 * * [simplify]: Extracting #6: cost 2 inf + 142170 3.335 * * [simplify]: Extracting #7: cost 0 inf + 142676 3.368 * [simplify]: Simplified to: (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (* (/ K 2) (+ n m))) (sin M)) (log (cos (- (* (/ K 2) (+ n m)) M))) (exp (cos (- (* (/ K 2) (+ n m)) M))) (* (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (cbrt (cos (- (* (/ K 2) (+ n m)) M)))) (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (* (* (cos (- (* (/ K 2) (+ n m)) M)) (cos (- (* (/ K 2) (+ n m)) M))) (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (real->posit16 (cos (- (* (/ K 2) (+ n m)) M))) 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M)) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2)))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2))))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2)))) (+ M (/ (+ n m) 2))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2)))) (+ M (/ (+ n m) 2))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt M) (sqrt (/ (+ n m) 2))) (+ (sqrt M) (sqrt (/ (+ n m) 2)))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 2 (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (cbrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt M) (sqrt (/ (+ n m) 2)))) (* (- (/ (+ n m) 2) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))) (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))) (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (log (* (/ K 2) (+ n m))) (log (* (/ K 2) (+ n m))) (log (* (/ K 2) (+ n m))) (sqrt (exp (* (+ n m) K))) (/ (* (* (+ n m) K) (* (+ n m) K)) (/ 8 (* (+ n m) K))) (/ (* (* (+ n m) K) (* (+ n m) K)) (/ 8 (* (+ n m) K))) (* (cbrt (* (/ K 2) (+ n m))) (cbrt (* (/ K 2) (+ n m)))) (cbrt (* (/ K 2) (+ n m))) (* (* (* (/ K 2) (+ n m)) (* (/ K 2) (+ n m))) (* (/ K 2) (+ n m))) (sqrt (* (/ K 2) (+ n m))) (sqrt (* (/ K 2) (+ n m))) (* (+ n m) (- K)) -2 (/ (/ (+ n m) (cbrt 2)) (cbrt 2)) (/ K (cbrt 2)) (/ (+ n m) (sqrt 2)) (/ K (sqrt 2)) (+ n m) (/ K 2) 1/2 (/ (/ 2 (+ n m)) K) (/ (/ K (/ (cbrt 2) (+ n m))) (cbrt 2)) (/ (+ n m) (/ (sqrt 2) K)) (* (+ n m) K) (/ 2 K) (* 2 (+ (* m m) (* n (- n m)))) (* 2 (- m n)) (real->posit16 (* (/ K 2) (+ n m))) (* (+ n m) K) (log (* (+ n m) K)) (log (* (+ n m) K)) (exp (* (+ n m) K)) (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)) (* (cbrt (* (+ n m) K)) (cbrt (* (+ n m) K))) (cbrt (* (+ n m) K)) (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)) (sqrt (* (+ n m) K)) (sqrt (* (+ n m) K)) (* (sqrt K) (sqrt (+ n m))) (* (sqrt K) (sqrt (+ n m))) (* (* (cbrt K) (+ n m)) (cbrt K)) (* (+ n m) (sqrt K)) (+ n m) (* (cbrt (+ n m)) K) (* (sqrt (+ n m)) K) (* (+ n m) K) (* (+ n m) K) (* K (+ (* (* m m) m) (* (* n n) n))) (* (+ n m) (* (- m n) K)) (real->posit16 (* (+ n m) K)) 1 (cos (- (* (* K 1/2) (+ n m)) M)) (cos (- (* (* K 1/2) (+ n m)) M)) (+ (* 1/2 (* m n)) (* 1/4 (+ (* m m) (* n n)))) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) 0 (* (* K 1/2) (+ n m)) (* (* K 1/2) (+ n m)) 0 (* (+ n m) K) (* (+ n m) K) 3.394 * * * [progress]: adding candidates to table 5.470 * * [progress]: iteration 2 / 4 5.470 * * * [progress]: picking best candidate 5.560 * * * * [pick]: Picked # 5.560 * * * [progress]: localizing error 5.584 * * * [progress]: generating rewritten candidates 5.584 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1 2) 6.087 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1) 6.161 * * * [progress]: generating series expansions 6.161 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1 2) 6.161 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 6.161 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 6.161 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 6.161 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 6.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 6.161 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 6.161 * [taylor]: Taking taylor expansion of 1/2 in M 6.161 * [backup-simplify]: Simplify 1/2 into 1/2 6.161 * [taylor]: Taking taylor expansion of m in M 6.162 * [backup-simplify]: Simplify m into m 6.162 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 6.162 * [taylor]: Taking taylor expansion of 1/2 in M 6.162 * [backup-simplify]: Simplify 1/2 into 1/2 6.162 * [taylor]: Taking taylor expansion of n in M 6.162 * [backup-simplify]: Simplify n into n 6.162 * [taylor]: Taking taylor expansion of M in M 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.162 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.162 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 6.163 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 6.163 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 6.163 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 6.163 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 6.163 * [taylor]: Taking taylor expansion of 1/2 in n 6.163 * [backup-simplify]: Simplify 1/2 into 1/2 6.163 * [taylor]: Taking taylor expansion of m in n 6.163 * [backup-simplify]: Simplify m into m 6.163 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.163 * [taylor]: Taking taylor expansion of 1/2 in n 6.163 * [backup-simplify]: Simplify 1/2 into 1/2 6.163 * [taylor]: Taking taylor expansion of n in n 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [taylor]: Taking taylor expansion of M in n 6.163 * [backup-simplify]: Simplify M into M 6.163 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 6.164 * [backup-simplify]: Simplify (- M) into (- M) 6.164 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 6.164 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.164 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.164 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.164 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.164 * [taylor]: Taking taylor expansion of 1/2 in m 6.164 * [backup-simplify]: Simplify 1/2 into 1/2 6.164 * [taylor]: Taking taylor expansion of m in m 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 1 into 1 6.164 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.164 * [taylor]: Taking taylor expansion of 1/2 in m 6.164 * [backup-simplify]: Simplify 1/2 into 1/2 6.164 * [taylor]: Taking taylor expansion of n in m 6.164 * [backup-simplify]: Simplify n into n 6.164 * [taylor]: Taking taylor expansion of M in m 6.164 * [backup-simplify]: Simplify M into M 6.165 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.165 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.165 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.165 * [backup-simplify]: Simplify (- M) into (- M) 6.165 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.165 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.165 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.165 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.165 * [taylor]: Taking taylor expansion of 1/2 in m 6.165 * [backup-simplify]: Simplify 1/2 into 1/2 6.165 * [taylor]: Taking taylor expansion of m in m 6.165 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify 1 into 1 6.166 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.166 * [taylor]: Taking taylor expansion of 1/2 in m 6.166 * [backup-simplify]: Simplify 1/2 into 1/2 6.166 * [taylor]: Taking taylor expansion of n in m 6.166 * [backup-simplify]: Simplify n into n 6.166 * [taylor]: Taking taylor expansion of M in m 6.166 * [backup-simplify]: Simplify M into M 6.166 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.166 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.166 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.166 * [backup-simplify]: Simplify (- M) into (- M) 6.166 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.167 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 6.167 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 6.167 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.167 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.167 * [taylor]: Taking taylor expansion of 1/2 in n 6.167 * [backup-simplify]: Simplify 1/2 into 1/2 6.167 * [taylor]: Taking taylor expansion of n in n 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [taylor]: Taking taylor expansion of M in n 6.167 * [backup-simplify]: Simplify M into M 6.167 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.168 * [backup-simplify]: Simplify (- M) into (- M) 6.168 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.168 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 6.168 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.168 * [taylor]: Taking taylor expansion of M in M 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 6.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.170 * [backup-simplify]: Simplify (- 0) into 0 6.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.170 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 6.171 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.171 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.171 * [taylor]: Taking taylor expansion of 1/2 in n 6.171 * [backup-simplify]: Simplify 1/2 into 1/2 6.171 * [taylor]: Taking taylor expansion of n in n 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.171 * [taylor]: Taking taylor expansion of M in n 6.171 * [backup-simplify]: Simplify M into M 6.171 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.171 * [backup-simplify]: Simplify (- M) into (- M) 6.171 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.171 * [taylor]: Taking taylor expansion of (- M) in M 6.171 * [taylor]: Taking taylor expansion of M in M 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (- 0) into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.173 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.174 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 6.174 * [taylor]: Taking taylor expansion of (- M) in M 6.174 * [taylor]: Taking taylor expansion of M in M 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (- 0) into 0 6.174 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 6.176 * [backup-simplify]: Simplify (+ 0 0) into 0 6.177 * [backup-simplify]: Simplify (- 0) into 0 6.177 * [backup-simplify]: Simplify (+ 0 0) into 0 6.178 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 6.178 * [taylor]: Taking taylor expansion of 1/4 in n 6.178 * [backup-simplify]: Simplify 1/4 into 1/4 6.178 * [taylor]: Taking taylor expansion of 1/4 in M 6.178 * [backup-simplify]: Simplify 1/4 into 1/4 6.178 * [backup-simplify]: Simplify 1/4 into 1/4 6.179 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.179 * [backup-simplify]: Simplify (- 0) into 0 6.179 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.179 * [taylor]: Taking taylor expansion of 1/2 in M 6.180 * [backup-simplify]: Simplify 1/2 into 1/2 6.180 * [backup-simplify]: Simplify 1/2 into 1/2 6.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.181 * [backup-simplify]: Simplify (- 0) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 6.182 * [taylor]: Taking taylor expansion of 1/4 in M 6.182 * [backup-simplify]: Simplify 1/4 into 1/4 6.182 * [backup-simplify]: Simplify 1/4 into 1/4 6.182 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 6.183 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 6.183 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 6.183 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 6.183 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 6.183 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.183 * [taylor]: Taking taylor expansion of 1/2 in M 6.183 * [backup-simplify]: Simplify 1/2 into 1/2 6.183 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.183 * [taylor]: Taking taylor expansion of m in M 6.183 * [backup-simplify]: Simplify m into m 6.183 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.183 * [taylor]: Taking taylor expansion of 1/2 in M 6.183 * [backup-simplify]: Simplify 1/2 into 1/2 6.183 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.183 * [taylor]: Taking taylor expansion of n in M 6.183 * [backup-simplify]: Simplify n into n 6.183 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.183 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.183 * [taylor]: Taking taylor expansion of M in M 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [backup-simplify]: Simplify 1 into 1 6.184 * [backup-simplify]: Simplify (/ 1 1) into 1 6.184 * [backup-simplify]: Simplify (- 1) into -1 6.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.185 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 6.185 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 6.185 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.185 * [taylor]: Taking taylor expansion of 1/2 in n 6.185 * [backup-simplify]: Simplify 1/2 into 1/2 6.185 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.185 * [taylor]: Taking taylor expansion of m in n 6.185 * [backup-simplify]: Simplify m into m 6.185 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.185 * [taylor]: Taking taylor expansion of 1/2 in n 6.185 * [backup-simplify]: Simplify 1/2 into 1/2 6.185 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.185 * [taylor]: Taking taylor expansion of n in n 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (/ 1 1) into 1 6.186 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.186 * [taylor]: Taking taylor expansion of M in n 6.186 * [backup-simplify]: Simplify M into M 6.186 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.186 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.187 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.187 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.187 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.187 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.187 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.187 * [taylor]: Taking taylor expansion of 1/2 in m 6.187 * [backup-simplify]: Simplify 1/2 into 1/2 6.187 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.187 * [taylor]: Taking taylor expansion of m in m 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (/ 1 1) into 1 6.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.188 * [taylor]: Taking taylor expansion of 1/2 in m 6.188 * [backup-simplify]: Simplify 1/2 into 1/2 6.188 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.188 * [taylor]: Taking taylor expansion of n in m 6.188 * [backup-simplify]: Simplify n into n 6.188 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.188 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.188 * [taylor]: Taking taylor expansion of M in m 6.188 * [backup-simplify]: Simplify M into M 6.188 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.189 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.189 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.190 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.190 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.190 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.190 * [taylor]: Taking taylor expansion of 1/2 in m 6.190 * [backup-simplify]: Simplify 1/2 into 1/2 6.190 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.190 * [taylor]: Taking taylor expansion of m in m 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ 1 1) into 1 6.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.190 * [taylor]: Taking taylor expansion of 1/2 in m 6.190 * [backup-simplify]: Simplify 1/2 into 1/2 6.190 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.190 * [taylor]: Taking taylor expansion of n in m 6.191 * [backup-simplify]: Simplify n into n 6.191 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.191 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.191 * [taylor]: Taking taylor expansion of M in m 6.191 * [backup-simplify]: Simplify M into M 6.191 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.191 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.192 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.192 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.192 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.192 * [taylor]: Taking taylor expansion of 1/4 in n 6.193 * [backup-simplify]: Simplify 1/4 into 1/4 6.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.196 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.196 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.196 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.196 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.197 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.197 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.197 * [taylor]: Taking taylor expansion of 1/2 in n 6.197 * [backup-simplify]: Simplify 1/2 into 1/2 6.197 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.197 * [taylor]: Taking taylor expansion of n in n 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.197 * [taylor]: Taking taylor expansion of M in n 6.197 * [backup-simplify]: Simplify M into M 6.198 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.201 * [backup-simplify]: Simplify (- 0) into 0 6.201 * [backup-simplify]: Simplify (+ 0 0) into 0 6.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.203 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.203 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.203 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.203 * [taylor]: Taking taylor expansion of M in n 6.203 * [backup-simplify]: Simplify M into M 6.203 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.203 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.203 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.203 * [taylor]: Taking taylor expansion of 1/4 in n 6.203 * [backup-simplify]: Simplify 1/4 into 1/4 6.203 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.203 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.203 * [taylor]: Taking taylor expansion of n in n 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.204 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.204 * [taylor]: Taking taylor expansion of (* M n) in n 6.204 * [taylor]: Taking taylor expansion of M in n 6.204 * [backup-simplify]: Simplify M into M 6.204 * [taylor]: Taking taylor expansion of n in n 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (* M 0) into 0 6.205 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.205 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.205 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.206 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.206 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.206 * [taylor]: Taking taylor expansion of 1/4 in M 6.206 * [backup-simplify]: Simplify 1/4 into 1/4 6.207 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.207 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.207 * [taylor]: Taking taylor expansion of 1/2 in M 6.207 * [backup-simplify]: Simplify 1/2 into 1/2 6.207 * [taylor]: Taking taylor expansion of 1/4 in M 6.207 * [backup-simplify]: Simplify 1/4 into 1/4 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.211 * [backup-simplify]: Simplify (+ 0 0) into 0 6.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.211 * [backup-simplify]: Simplify (- 0) into 0 6.212 * [backup-simplify]: Simplify (+ 0 0) into 0 6.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 6.213 * [taylor]: Taking taylor expansion of 0 in n 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.216 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.216 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.216 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.216 * [taylor]: Taking taylor expansion of M in M 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify (/ 1 1) into 1 6.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.218 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.218 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.218 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.218 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.218 * [taylor]: Taking taylor expansion of M in M 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify (/ 1 1) into 1 6.218 * [taylor]: Taking taylor expansion of 0 in M 6.218 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.222 * [backup-simplify]: Simplify (+ 0 0) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.223 * [backup-simplify]: Simplify (- 0) into 0 6.223 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 6.225 * [taylor]: Taking taylor expansion of 0 in n 6.225 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.228 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.228 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.229 * [backup-simplify]: Simplify (- 0) into 0 6.229 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.229 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.229 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.229 * [taylor]: Taking taylor expansion of M in M 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.229 * [backup-simplify]: Simplify (* 1 1) into 1 6.229 * [backup-simplify]: Simplify (/ 1 1) into 1 6.229 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.231 * [backup-simplify]: Simplify (- 0) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.231 * [taylor]: Taking taylor expansion of 0 in M 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [taylor]: Taking taylor expansion of 0 in M 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify (- 1) into -1 6.231 * [backup-simplify]: Simplify -1 into -1 6.231 * [backup-simplify]: Simplify (- 1) into -1 6.231 * [backup-simplify]: Simplify -1 into -1 6.232 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.232 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 6.232 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 6.232 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 6.232 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 6.232 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.232 * [taylor]: Taking taylor expansion of M in M 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.233 * [backup-simplify]: Simplify (/ 1 1) into 1 6.233 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.233 * [taylor]: Taking taylor expansion of 1/2 in M 6.233 * [backup-simplify]: Simplify 1/2 into 1/2 6.233 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.233 * [taylor]: Taking taylor expansion of m in M 6.233 * [backup-simplify]: Simplify m into m 6.233 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.233 * [taylor]: Taking taylor expansion of 1/2 in M 6.233 * [backup-simplify]: Simplify 1/2 into 1/2 6.233 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.233 * [taylor]: Taking taylor expansion of n in M 6.233 * [backup-simplify]: Simplify n into n 6.233 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.233 * [backup-simplify]: Simplify (+ 1 0) into 1 6.233 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 6.233 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 6.233 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.233 * [taylor]: Taking taylor expansion of M in n 6.233 * [backup-simplify]: Simplify M into M 6.233 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.233 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.233 * [taylor]: Taking taylor expansion of 1/2 in n 6.233 * [backup-simplify]: Simplify 1/2 into 1/2 6.233 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.233 * [taylor]: Taking taylor expansion of m in n 6.233 * [backup-simplify]: Simplify m into m 6.233 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.233 * [taylor]: Taking taylor expansion of 1/2 in n 6.234 * [backup-simplify]: Simplify 1/2 into 1/2 6.234 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.234 * [taylor]: Taking taylor expansion of n in n 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (/ 1 1) into 1 6.234 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.234 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.235 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.235 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.235 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.235 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.235 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.235 * [taylor]: Taking taylor expansion of M in m 6.235 * [backup-simplify]: Simplify M into M 6.235 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.235 * [taylor]: Taking taylor expansion of 1/2 in m 6.235 * [backup-simplify]: Simplify 1/2 into 1/2 6.235 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.235 * [taylor]: Taking taylor expansion of m in m 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [backup-simplify]: Simplify (/ 1 1) into 1 6.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.235 * [taylor]: Taking taylor expansion of 1/2 in m 6.235 * [backup-simplify]: Simplify 1/2 into 1/2 6.235 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.235 * [taylor]: Taking taylor expansion of n in m 6.235 * [backup-simplify]: Simplify n into n 6.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.236 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.236 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.236 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.236 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.237 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.237 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.237 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.237 * [taylor]: Taking taylor expansion of M in m 6.237 * [backup-simplify]: Simplify M into M 6.237 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.237 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.237 * [taylor]: Taking taylor expansion of 1/2 in m 6.237 * [backup-simplify]: Simplify 1/2 into 1/2 6.237 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.237 * [taylor]: Taking taylor expansion of m in m 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify (/ 1 1) into 1 6.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.237 * [taylor]: Taking taylor expansion of 1/2 in m 6.237 * [backup-simplify]: Simplify 1/2 into 1/2 6.237 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.237 * [taylor]: Taking taylor expansion of n in m 6.237 * [backup-simplify]: Simplify n into n 6.237 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.237 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.238 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.238 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.238 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.238 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 6.238 * [taylor]: Taking taylor expansion of 1/4 in n 6.238 * [backup-simplify]: Simplify 1/4 into 1/4 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.239 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.239 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.240 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 6.240 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 6.240 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.240 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.240 * [taylor]: Taking taylor expansion of 1/2 in n 6.240 * [backup-simplify]: Simplify 1/2 into 1/2 6.240 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.240 * [taylor]: Taking taylor expansion of n in n 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 1 into 1 6.240 * [backup-simplify]: Simplify (/ 1 1) into 1 6.240 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.240 * [taylor]: Taking taylor expansion of M in n 6.240 * [backup-simplify]: Simplify M into M 6.241 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.242 * [backup-simplify]: Simplify (+ 0 0) into 0 6.243 * [backup-simplify]: Simplify (- 0) into 0 6.243 * [backup-simplify]: Simplify (+ 0 0) into 0 6.243 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.244 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.244 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.244 * [taylor]: Taking taylor expansion of M in n 6.244 * [backup-simplify]: Simplify M into M 6.244 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.244 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.244 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.244 * [taylor]: Taking taylor expansion of 1/4 in n 6.244 * [backup-simplify]: Simplify 1/4 into 1/4 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.244 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.244 * [taylor]: Taking taylor expansion of n in n 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* 1 1) into 1 6.244 * [backup-simplify]: Simplify (/ 1 1) into 1 6.244 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.244 * [taylor]: Taking taylor expansion of (* M n) in n 6.244 * [taylor]: Taking taylor expansion of M in n 6.244 * [backup-simplify]: Simplify M into M 6.244 * [taylor]: Taking taylor expansion of n in n 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* M 0) into 0 6.245 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.245 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.245 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.245 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.246 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.246 * [taylor]: Taking taylor expansion of 1/4 in M 6.246 * [backup-simplify]: Simplify 1/4 into 1/4 6.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.246 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.246 * [taylor]: Taking taylor expansion of 1/2 in M 6.246 * [backup-simplify]: Simplify 1/2 into 1/2 6.246 * [taylor]: Taking taylor expansion of 1/4 in M 6.246 * [backup-simplify]: Simplify 1/4 into 1/4 6.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (- 0) into 0 6.249 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 6.250 * [taylor]: Taking taylor expansion of 0 in n 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.251 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.251 * [backup-simplify]: Simplify (+ 0 0) into 0 6.251 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.252 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.252 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.252 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.252 * [taylor]: Taking taylor expansion of M in M 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.253 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.253 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.253 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.253 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.253 * [taylor]: Taking taylor expansion of M in M 6.253 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (/ 1 1) into 1 6.253 * [taylor]: Taking taylor expansion of 0 in M 6.253 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.256 * [backup-simplify]: Simplify (+ 0 0) into 0 6.256 * [backup-simplify]: Simplify (- 0) into 0 6.256 * [backup-simplify]: Simplify (+ 0 0) into 0 6.258 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 6.258 * [taylor]: Taking taylor expansion of 0 in n 6.258 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.261 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.262 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.262 * [backup-simplify]: Simplify (- 0) into 0 6.262 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.262 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.262 * [taylor]: Taking taylor expansion of M in M 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (* 1 1) into 1 6.263 * [backup-simplify]: Simplify (/ 1 1) into 1 6.263 * [backup-simplify]: Simplify 1 into 1 6.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.266 * [backup-simplify]: Simplify (- 0) into 0 6.266 * [backup-simplify]: Simplify (+ 0 0) into 0 6.266 * [taylor]: Taking taylor expansion of 0 in M 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [taylor]: Taking taylor expansion of 0 in M 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (- 1) into -1 6.267 * [backup-simplify]: Simplify -1 into -1 6.267 * [backup-simplify]: Simplify (- 1) into -1 6.267 * [backup-simplify]: Simplify -1 into -1 6.268 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.268 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1) 6.268 * [backup-simplify]: Simplify (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) 6.268 * [approximate]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in (l m n M) around 0 6.268 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in M 6.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in M 6.269 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in M 6.269 * [taylor]: Taking taylor expansion of 1/4 in M 6.269 * [backup-simplify]: Simplify 1/4 into 1/4 6.269 * [taylor]: Taking taylor expansion of (pow m 2) in M 6.269 * [taylor]: Taking taylor expansion of m in M 6.269 * [backup-simplify]: Simplify m into m 6.269 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in M 6.269 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.269 * [taylor]: Taking taylor expansion of M in M 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in M 6.269 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in M 6.269 * [taylor]: Taking taylor expansion of 1/2 in M 6.269 * [backup-simplify]: Simplify 1/2 into 1/2 6.269 * [taylor]: Taking taylor expansion of (* m n) in M 6.269 * [taylor]: Taking taylor expansion of m in M 6.269 * [backup-simplify]: Simplify m into m 6.269 * [taylor]: Taking taylor expansion of n in M 6.269 * [backup-simplify]: Simplify n into n 6.269 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in M 6.269 * [taylor]: Taking taylor expansion of l in M 6.269 * [backup-simplify]: Simplify l into l 6.269 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in M 6.269 * [taylor]: Taking taylor expansion of 1/4 in M 6.269 * [backup-simplify]: Simplify 1/4 into 1/4 6.269 * [taylor]: Taking taylor expansion of (pow n 2) in M 6.269 * [taylor]: Taking taylor expansion of n in M 6.269 * [backup-simplify]: Simplify n into n 6.269 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in M 6.269 * [taylor]: Taking taylor expansion of (* m M) in M 6.269 * [taylor]: Taking taylor expansion of m in M 6.269 * [backup-simplify]: Simplify m into m 6.269 * [taylor]: Taking taylor expansion of M in M 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [taylor]: Taking taylor expansion of (* M n) in M 6.270 * [taylor]: Taking taylor expansion of M in M 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of n in M 6.270 * [backup-simplify]: Simplify n into n 6.270 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in n 6.270 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in n 6.270 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in n 6.270 * [taylor]: Taking taylor expansion of 1/4 in n 6.270 * [backup-simplify]: Simplify 1/4 into 1/4 6.270 * [taylor]: Taking taylor expansion of (pow m 2) in n 6.270 * [taylor]: Taking taylor expansion of m in n 6.270 * [backup-simplify]: Simplify m into m 6.270 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in n 6.270 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.270 * [taylor]: Taking taylor expansion of M in n 6.270 * [backup-simplify]: Simplify M into M 6.270 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in n 6.270 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in n 6.270 * [taylor]: Taking taylor expansion of 1/2 in n 6.270 * [backup-simplify]: Simplify 1/2 into 1/2 6.270 * [taylor]: Taking taylor expansion of (* m n) in n 6.270 * [taylor]: Taking taylor expansion of m in n 6.270 * [backup-simplify]: Simplify m into m 6.270 * [taylor]: Taking taylor expansion of n in n 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.270 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 6.270 * [taylor]: Taking taylor expansion of l in n 6.270 * [backup-simplify]: Simplify l into l 6.270 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 6.270 * [taylor]: Taking taylor expansion of 1/4 in n 6.270 * [backup-simplify]: Simplify 1/4 into 1/4 6.270 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.270 * [taylor]: Taking taylor expansion of n in n 6.270 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in n 6.271 * [taylor]: Taking taylor expansion of (* m M) in n 6.271 * [taylor]: Taking taylor expansion of m in n 6.271 * [backup-simplify]: Simplify m into m 6.271 * [taylor]: Taking taylor expansion of M in n 6.271 * [backup-simplify]: Simplify M into M 6.271 * [taylor]: Taking taylor expansion of (* M n) in n 6.271 * [taylor]: Taking taylor expansion of M in n 6.271 * [backup-simplify]: Simplify M into M 6.271 * [taylor]: Taking taylor expansion of n in n 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in m 6.271 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in m 6.271 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in m 6.271 * [taylor]: Taking taylor expansion of 1/4 in m 6.271 * [backup-simplify]: Simplify 1/4 into 1/4 6.271 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.271 * [taylor]: Taking taylor expansion of m in m 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in m 6.271 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.271 * [taylor]: Taking taylor expansion of M in m 6.271 * [backup-simplify]: Simplify M into M 6.271 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in m 6.271 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in m 6.271 * [taylor]: Taking taylor expansion of 1/2 in m 6.271 * [backup-simplify]: Simplify 1/2 into 1/2 6.271 * [taylor]: Taking taylor expansion of (* m n) in m 6.271 * [taylor]: Taking taylor expansion of m in m 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [taylor]: Taking taylor expansion of n in m 6.271 * [backup-simplify]: Simplify n into n 6.271 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in m 6.271 * [taylor]: Taking taylor expansion of l in m 6.272 * [backup-simplify]: Simplify l into l 6.272 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in m 6.272 * [taylor]: Taking taylor expansion of 1/4 in m 6.272 * [backup-simplify]: Simplify 1/4 into 1/4 6.272 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.272 * [taylor]: Taking taylor expansion of n in m 6.272 * [backup-simplify]: Simplify n into n 6.272 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in m 6.272 * [taylor]: Taking taylor expansion of (* m M) in m 6.272 * [taylor]: Taking taylor expansion of m in m 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [taylor]: Taking taylor expansion of M in m 6.272 * [backup-simplify]: Simplify M into M 6.272 * [taylor]: Taking taylor expansion of (* M n) in m 6.272 * [taylor]: Taking taylor expansion of M in m 6.272 * [backup-simplify]: Simplify M into M 6.272 * [taylor]: Taking taylor expansion of n in m 6.272 * [backup-simplify]: Simplify n into n 6.272 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in l 6.272 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in l 6.272 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in l 6.272 * [taylor]: Taking taylor expansion of 1/4 in l 6.272 * [backup-simplify]: Simplify 1/4 into 1/4 6.272 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.272 * [taylor]: Taking taylor expansion of m in l 6.272 * [backup-simplify]: Simplify m into m 6.272 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in l 6.272 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.272 * [taylor]: Taking taylor expansion of M in l 6.272 * [backup-simplify]: Simplify M into M 6.272 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in l 6.272 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in l 6.272 * [taylor]: Taking taylor expansion of 1/2 in l 6.272 * [backup-simplify]: Simplify 1/2 into 1/2 6.272 * [taylor]: Taking taylor expansion of (* m n) in l 6.272 * [taylor]: Taking taylor expansion of m in l 6.272 * [backup-simplify]: Simplify m into m 6.272 * [taylor]: Taking taylor expansion of n in l 6.273 * [backup-simplify]: Simplify n into n 6.273 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in l 6.273 * [taylor]: Taking taylor expansion of l in l 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in l 6.273 * [taylor]: Taking taylor expansion of 1/4 in l 6.273 * [backup-simplify]: Simplify 1/4 into 1/4 6.273 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.273 * [taylor]: Taking taylor expansion of n in l 6.273 * [backup-simplify]: Simplify n into n 6.273 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in l 6.273 * [taylor]: Taking taylor expansion of (* m M) in l 6.273 * [taylor]: Taking taylor expansion of m in l 6.273 * [backup-simplify]: Simplify m into m 6.273 * [taylor]: Taking taylor expansion of M in l 6.273 * [backup-simplify]: Simplify M into M 6.273 * [taylor]: Taking taylor expansion of (* M n) in l 6.273 * [taylor]: Taking taylor expansion of M in l 6.273 * [backup-simplify]: Simplify M into M 6.273 * [taylor]: Taking taylor expansion of n in l 6.273 * [backup-simplify]: Simplify n into n 6.273 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in l 6.273 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in l 6.273 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in l 6.273 * [taylor]: Taking taylor expansion of 1/4 in l 6.273 * [backup-simplify]: Simplify 1/4 into 1/4 6.273 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.273 * [taylor]: Taking taylor expansion of m in l 6.273 * [backup-simplify]: Simplify m into m 6.273 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in l 6.273 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.273 * [taylor]: Taking taylor expansion of M in l 6.273 * [backup-simplify]: Simplify M into M 6.273 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in l 6.273 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in l 6.273 * [taylor]: Taking taylor expansion of 1/2 in l 6.273 * [backup-simplify]: Simplify 1/2 into 1/2 6.273 * [taylor]: Taking taylor expansion of (* m n) in l 6.273 * [taylor]: Taking taylor expansion of m in l 6.274 * [backup-simplify]: Simplify m into m 6.274 * [taylor]: Taking taylor expansion of n in l 6.274 * [backup-simplify]: Simplify n into n 6.274 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in l 6.274 * [taylor]: Taking taylor expansion of l in l 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in l 6.274 * [taylor]: Taking taylor expansion of 1/4 in l 6.274 * [backup-simplify]: Simplify 1/4 into 1/4 6.274 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.274 * [taylor]: Taking taylor expansion of n in l 6.274 * [backup-simplify]: Simplify n into n 6.274 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in l 6.274 * [taylor]: Taking taylor expansion of (* m M) in l 6.274 * [taylor]: Taking taylor expansion of m in l 6.274 * [backup-simplify]: Simplify m into m 6.274 * [taylor]: Taking taylor expansion of M in l 6.274 * [backup-simplify]: Simplify M into M 6.274 * [taylor]: Taking taylor expansion of (* M n) in l 6.274 * [taylor]: Taking taylor expansion of M in l 6.274 * [backup-simplify]: Simplify M into M 6.274 * [taylor]: Taking taylor expansion of n in l 6.274 * [backup-simplify]: Simplify n into n 6.274 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.274 * [backup-simplify]: Simplify (* 1/4 (pow m 2)) into (* 1/4 (pow m 2)) 6.274 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.274 * [backup-simplify]: Simplify (* m n) into (* m n) 6.274 * [backup-simplify]: Simplify (* 1/2 (* m n)) into (* 1/2 (* m n)) 6.275 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.275 * [backup-simplify]: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) 6.275 * [backup-simplify]: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) 6.275 * [backup-simplify]: Simplify (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) into (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) 6.275 * [backup-simplify]: Simplify (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) into (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) 6.276 * [backup-simplify]: Simplify (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) into (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) 6.276 * [backup-simplify]: Simplify (* m M) into (* m M) 6.276 * [backup-simplify]: Simplify (* M n) into (* M n) 6.276 * [backup-simplify]: Simplify (+ (* m M) (* M n)) into (+ (* m M) (* M n)) 6.276 * [backup-simplify]: Simplify (- (+ (* m M) (* M n))) into (- (+ (* m M) (* M n))) 6.277 * [backup-simplify]: Simplify (+ (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (- (+ (* m M) (* M n)))) into (- (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (+ (* m M) (* M n))) 6.277 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (+ (* m M) (* M n))) in m 6.277 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) in m 6.277 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.277 * [taylor]: Taking taylor expansion of M in m 6.277 * [backup-simplify]: Simplify M into M 6.277 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) in m 6.277 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in m 6.277 * [taylor]: Taking taylor expansion of 1/2 in m 6.277 * [backup-simplify]: Simplify 1/2 into 1/2 6.277 * [taylor]: Taking taylor expansion of (* m n) in m 6.277 * [taylor]: Taking taylor expansion of m in m 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [taylor]: Taking taylor expansion of n in m 6.277 * [backup-simplify]: Simplify n into n 6.277 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))) in m 6.277 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in m 6.277 * [taylor]: Taking taylor expansion of 1/4 in m 6.277 * [backup-simplify]: Simplify 1/4 into 1/4 6.277 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.277 * [taylor]: Taking taylor expansion of n in m 6.278 * [backup-simplify]: Simplify n into n 6.278 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in m 6.278 * [taylor]: Taking taylor expansion of 1/4 in m 6.278 * [backup-simplify]: Simplify 1/4 into 1/4 6.278 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.278 * [taylor]: Taking taylor expansion of m in m 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in m 6.278 * [taylor]: Taking taylor expansion of (* m M) in m 6.278 * [taylor]: Taking taylor expansion of m in m 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [taylor]: Taking taylor expansion of M in m 6.278 * [backup-simplify]: Simplify M into M 6.278 * [taylor]: Taking taylor expansion of (* M n) in m 6.278 * [taylor]: Taking taylor expansion of M in m 6.278 * [backup-simplify]: Simplify M into M 6.278 * [taylor]: Taking taylor expansion of n in m 6.278 * [backup-simplify]: Simplify n into n 6.278 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.278 * [backup-simplify]: Simplify (* 0 n) into 0 6.279 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.279 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.279 * [backup-simplify]: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) 6.279 * [backup-simplify]: Simplify (+ (* 1/4 (pow n 2)) 0) into (* 1/4 (pow n 2)) 6.279 * [backup-simplify]: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) 6.279 * [backup-simplify]: Simplify (+ (pow M 2) (* 1/4 (pow n 2))) into (+ (pow M 2) (* 1/4 (pow n 2))) 6.280 * [backup-simplify]: Simplify (* 0 M) into 0 6.280 * [backup-simplify]: Simplify (* M n) into (* M n) 6.280 * [backup-simplify]: Simplify (+ 0 (* M n)) into (* M n) 6.280 * [backup-simplify]: Simplify (- (* M n)) into (- (* M n)) 6.280 * [backup-simplify]: Simplify (+ (+ (pow M 2) (* 1/4 (pow n 2))) (- (* M n))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (* M n)) 6.280 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (* M n)) in n 6.280 * [taylor]: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n 6.280 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.280 * [taylor]: Taking taylor expansion of M in n 6.280 * [backup-simplify]: Simplify M into M 6.280 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 6.280 * [taylor]: Taking taylor expansion of 1/4 in n 6.280 * [backup-simplify]: Simplify 1/4 into 1/4 6.280 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.280 * [taylor]: Taking taylor expansion of n in n 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [taylor]: Taking taylor expansion of (* M n) in n 6.280 * [taylor]: Taking taylor expansion of M in n 6.280 * [backup-simplify]: Simplify M into M 6.280 * [taylor]: Taking taylor expansion of n in n 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.281 * [backup-simplify]: Simplify (+ (pow M 2) 0) into (pow M 2) 6.281 * [backup-simplify]: Simplify (* M 0) into 0 6.281 * [backup-simplify]: Simplify (- 0) into 0 6.281 * [backup-simplify]: Simplify (+ (pow M 2) 0) into (pow M 2) 6.281 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.281 * [taylor]: Taking taylor expansion of M in M 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (+ (* m 0) (* 0 m)) into 0 6.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow m 2))) into 0 6.282 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.282 * [backup-simplify]: Simplify (+ (* m 0) (* 0 n)) into 0 6.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* m n))) into 0 6.283 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 6.284 * [backup-simplify]: Simplify (+ 1 0) into 1 6.284 * [backup-simplify]: Simplify (+ 0 1) into 1 6.285 * [backup-simplify]: Simplify (+ 0 1) into 1 6.285 * [backup-simplify]: Simplify (+ 0 1) into 1 6.285 * [backup-simplify]: Simplify (+ (* m 0) (* 0 M)) into 0 6.285 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.285 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (- 0) into 0 6.286 * [backup-simplify]: Simplify (+ 1 0) into 1 6.286 * [taylor]: Taking taylor expansion of 1 in m 6.286 * [backup-simplify]: Simplify 1 into 1 6.286 * [taylor]: Taking taylor expansion of 1 in n 6.286 * [backup-simplify]: Simplify 1 into 1 6.286 * [taylor]: Taking taylor expansion of 1 in M 6.286 * [backup-simplify]: Simplify 1 into 1 6.286 * [backup-simplify]: Simplify 1 into 1 6.287 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.287 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.288 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 6.288 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.289 * [backup-simplify]: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) 6.289 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.289 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.289 * [backup-simplify]: Simplify (+ M 0) into M 6.290 * [backup-simplify]: Simplify (- M) into (- M) 6.290 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.290 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.290 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.290 * [taylor]: Taking taylor expansion of 1/2 in n 6.290 * [backup-simplify]: Simplify 1/2 into 1/2 6.290 * [taylor]: Taking taylor expansion of n in n 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [backup-simplify]: Simplify 1 into 1 6.290 * [taylor]: Taking taylor expansion of M in n 6.290 * [backup-simplify]: Simplify M into M 6.291 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.291 * [backup-simplify]: Simplify (- M) into (- M) 6.291 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.291 * [taylor]: Taking taylor expansion of (- M) in M 6.291 * [taylor]: Taking taylor expansion of M in M 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify (- 0) into 0 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.292 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.292 * [backup-simplify]: Simplify (- M) into (- M) 6.292 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.292 * [taylor]: Taking taylor expansion of (- M) in M 6.292 * [taylor]: Taking taylor expansion of M in M 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 1 into 1 6.293 * [backup-simplify]: Simplify (- 0) into 0 6.293 * [backup-simplify]: Simplify 0 into 0 6.293 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 m))) into 0 6.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow m 2)))) into 0 6.294 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.295 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 n))) into 0 6.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* m n)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow n 2)))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 M))) into 0 6.299 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.300 * [backup-simplify]: Simplify (+ 0 0) into 0 6.300 * [backup-simplify]: Simplify (- 0) into 0 6.300 * [backup-simplify]: Simplify (+ 0 0) into 0 6.300 * [taylor]: Taking taylor expansion of 0 in m 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [taylor]: Taking taylor expansion of 0 in n 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [taylor]: Taking taylor expansion of 0 in M 6.300 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify 0 into 0 6.301 * [taylor]: Taking taylor expansion of 0 in n 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [taylor]: Taking taylor expansion of 0 in M 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 6.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 6.303 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow n 2)))) into 0 6.304 * [backup-simplify]: Simplify (* 1 1) into 1 6.304 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.305 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.305 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.305 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 6.306 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.306 * [backup-simplify]: Simplify (- 0) into 0 6.307 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.307 * [taylor]: Taking taylor expansion of 1/4 in n 6.307 * [backup-simplify]: Simplify 1/4 into 1/4 6.307 * [taylor]: Taking taylor expansion of 1/4 in M 6.307 * [backup-simplify]: Simplify 1/4 into 1/4 6.307 * [backup-simplify]: Simplify 1/4 into 1/4 6.307 * [taylor]: Taking taylor expansion of 0 in M 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.308 * [backup-simplify]: Simplify (- 0) into 0 6.308 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.308 * [taylor]: Taking taylor expansion of 1/2 in M 6.308 * [backup-simplify]: Simplify 1/2 into 1/2 6.308 * [backup-simplify]: Simplify 1/2 into 1/2 6.308 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* n (* m 1)))) (+ (* 1/4 (pow (* 1 (* 1 (* m 1))) 2)) (* 1 (* 1 (* 1 (* 1 l)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 6.309 * [backup-simplify]: Simplify (+ (/ 1 l) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) into (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.309 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in (l m n M) around 0 6.309 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in M 6.309 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in M 6.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in M 6.309 * [taylor]: Taking taylor expansion of 1/2 in M 6.309 * [backup-simplify]: Simplify 1/2 into 1/2 6.309 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in M 6.309 * [taylor]: Taking taylor expansion of (* m n) in M 6.309 * [taylor]: Taking taylor expansion of m in M 6.309 * [backup-simplify]: Simplify m into m 6.309 * [taylor]: Taking taylor expansion of n in M 6.309 * [backup-simplify]: Simplify n into n 6.309 * [backup-simplify]: Simplify (* m n) into (* m n) 6.309 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.309 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in M 6.309 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in M 6.309 * [taylor]: Taking taylor expansion of 1/4 in M 6.309 * [backup-simplify]: Simplify 1/4 into 1/4 6.309 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in M 6.309 * [taylor]: Taking taylor expansion of (pow m 2) in M 6.309 * [taylor]: Taking taylor expansion of m in M 6.309 * [backup-simplify]: Simplify m into m 6.309 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.309 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.309 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in M 6.309 * [taylor]: Taking taylor expansion of (/ 1 l) in M 6.309 * [taylor]: Taking taylor expansion of l in M 6.309 * [backup-simplify]: Simplify l into l 6.309 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in M 6.309 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.309 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.309 * [taylor]: Taking taylor expansion of M in M 6.309 * [backup-simplify]: Simplify 0 into 0 6.309 * [backup-simplify]: Simplify 1 into 1 6.309 * [backup-simplify]: Simplify (* 1 1) into 1 6.310 * [backup-simplify]: Simplify (/ 1 1) into 1 6.310 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in M 6.310 * [taylor]: Taking taylor expansion of 1/4 in M 6.310 * [backup-simplify]: Simplify 1/4 into 1/4 6.310 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in M 6.310 * [taylor]: Taking taylor expansion of (pow n 2) in M 6.310 * [taylor]: Taking taylor expansion of n in M 6.310 * [backup-simplify]: Simplify n into n 6.310 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.310 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in M 6.310 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in M 6.310 * [taylor]: Taking taylor expansion of (* M n) in M 6.310 * [taylor]: Taking taylor expansion of M in M 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [taylor]: Taking taylor expansion of n in M 6.310 * [backup-simplify]: Simplify n into n 6.310 * [backup-simplify]: Simplify (* 0 n) into 0 6.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.310 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.310 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in M 6.310 * [taylor]: Taking taylor expansion of (* m M) in M 6.310 * [taylor]: Taking taylor expansion of m in M 6.310 * [backup-simplify]: Simplify m into m 6.310 * [taylor]: Taking taylor expansion of M in M 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (* m 0) into 0 6.311 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.311 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.311 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in n 6.311 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in n 6.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in n 6.311 * [taylor]: Taking taylor expansion of 1/2 in n 6.311 * [backup-simplify]: Simplify 1/2 into 1/2 6.311 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in n 6.311 * [taylor]: Taking taylor expansion of (* m n) in n 6.311 * [taylor]: Taking taylor expansion of m in n 6.311 * [backup-simplify]: Simplify m into m 6.311 * [taylor]: Taking taylor expansion of n in n 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 1 into 1 6.311 * [backup-simplify]: Simplify (* m 0) into 0 6.311 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.311 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.311 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in n 6.311 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in n 6.311 * [taylor]: Taking taylor expansion of 1/4 in n 6.311 * [backup-simplify]: Simplify 1/4 into 1/4 6.311 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in n 6.311 * [taylor]: Taking taylor expansion of (pow m 2) in n 6.311 * [taylor]: Taking taylor expansion of m in n 6.311 * [backup-simplify]: Simplify m into m 6.311 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.312 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n 6.312 * [taylor]: Taking taylor expansion of (/ 1 l) in n 6.312 * [taylor]: Taking taylor expansion of l in n 6.312 * [backup-simplify]: Simplify l into l 6.312 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.312 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.312 * [taylor]: Taking taylor expansion of M in n 6.312 * [backup-simplify]: Simplify M into M 6.312 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.312 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.312 * [taylor]: Taking taylor expansion of 1/4 in n 6.312 * [backup-simplify]: Simplify 1/4 into 1/4 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.312 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.312 * [taylor]: Taking taylor expansion of n in n 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 1 into 1 6.312 * [backup-simplify]: Simplify (* 1 1) into 1 6.312 * [backup-simplify]: Simplify (/ 1 1) into 1 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in n 6.312 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.312 * [taylor]: Taking taylor expansion of (* M n) in n 6.312 * [taylor]: Taking taylor expansion of M in n 6.312 * [backup-simplify]: Simplify M into M 6.313 * [taylor]: Taking taylor expansion of n in n 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (* M 0) into 0 6.313 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.313 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.313 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in n 6.313 * [taylor]: Taking taylor expansion of (* m M) in n 6.313 * [taylor]: Taking taylor expansion of m in n 6.313 * [backup-simplify]: Simplify m into m 6.313 * [taylor]: Taking taylor expansion of M in n 6.313 * [backup-simplify]: Simplify M into M 6.313 * [backup-simplify]: Simplify (* m M) into (* m M) 6.313 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.313 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m 6.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in m 6.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.313 * [taylor]: Taking taylor expansion of 1/2 in m 6.313 * [backup-simplify]: Simplify 1/2 into 1/2 6.313 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.313 * [taylor]: Taking taylor expansion of (* m n) in m 6.313 * [taylor]: Taking taylor expansion of m in m 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [taylor]: Taking taylor expansion of n in m 6.313 * [backup-simplify]: Simplify n into n 6.313 * [backup-simplify]: Simplify (* 0 n) into 0 6.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.314 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.314 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m 6.314 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.314 * [taylor]: Taking taylor expansion of 1/4 in m 6.314 * [backup-simplify]: Simplify 1/4 into 1/4 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.314 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.314 * [taylor]: Taking taylor expansion of m in m 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (* 1 1) into 1 6.314 * [backup-simplify]: Simplify (/ 1 1) into 1 6.314 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m 6.314 * [taylor]: Taking taylor expansion of (/ 1 l) in m 6.314 * [taylor]: Taking taylor expansion of l in m 6.314 * [backup-simplify]: Simplify l into l 6.314 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.314 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.314 * [taylor]: Taking taylor expansion of M in m 6.314 * [backup-simplify]: Simplify M into M 6.314 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.314 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.314 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.314 * [taylor]: Taking taylor expansion of 1/4 in m 6.315 * [backup-simplify]: Simplify 1/4 into 1/4 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.315 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.315 * [taylor]: Taking taylor expansion of n in m 6.315 * [backup-simplify]: Simplify n into n 6.315 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.315 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m 6.315 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.315 * [taylor]: Taking taylor expansion of (* M n) in m 6.315 * [taylor]: Taking taylor expansion of M in m 6.315 * [backup-simplify]: Simplify M into M 6.315 * [taylor]: Taking taylor expansion of n in m 6.315 * [backup-simplify]: Simplify n into n 6.315 * [backup-simplify]: Simplify (* M n) into (* M n) 6.315 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.315 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.315 * [taylor]: Taking taylor expansion of (* m M) in m 6.315 * [taylor]: Taking taylor expansion of m in m 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify 1 into 1 6.315 * [taylor]: Taking taylor expansion of M in m 6.315 * [backup-simplify]: Simplify M into M 6.315 * [backup-simplify]: Simplify (* 0 M) into 0 6.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.317 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.317 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in l 6.317 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in l 6.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.317 * [taylor]: Taking taylor expansion of 1/2 in l 6.317 * [backup-simplify]: Simplify 1/2 into 1/2 6.317 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.317 * [taylor]: Taking taylor expansion of (* m n) in l 6.317 * [taylor]: Taking taylor expansion of m in l 6.317 * [backup-simplify]: Simplify m into m 6.317 * [taylor]: Taking taylor expansion of n in l 6.317 * [backup-simplify]: Simplify n into n 6.317 * [backup-simplify]: Simplify (* m n) into (* m n) 6.317 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.317 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.317 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.317 * [taylor]: Taking taylor expansion of 1/4 in l 6.317 * [backup-simplify]: Simplify 1/4 into 1/4 6.317 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.317 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.317 * [taylor]: Taking taylor expansion of m in l 6.317 * [backup-simplify]: Simplify m into m 6.317 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.317 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.317 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.317 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.317 * [taylor]: Taking taylor expansion of l in l 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 1 into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.318 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.318 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.318 * [taylor]: Taking taylor expansion of M in l 6.318 * [backup-simplify]: Simplify M into M 6.318 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.318 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.318 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.318 * [taylor]: Taking taylor expansion of 1/4 in l 6.318 * [backup-simplify]: Simplify 1/4 into 1/4 6.318 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.318 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.318 * [taylor]: Taking taylor expansion of n in l 6.318 * [backup-simplify]: Simplify n into n 6.318 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.318 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in l 6.318 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.318 * [taylor]: Taking taylor expansion of (* M n) in l 6.318 * [taylor]: Taking taylor expansion of M in l 6.318 * [backup-simplify]: Simplify M into M 6.318 * [taylor]: Taking taylor expansion of n in l 6.318 * [backup-simplify]: Simplify n into n 6.318 * [backup-simplify]: Simplify (* M n) into (* M n) 6.318 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.318 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.318 * [taylor]: Taking taylor expansion of (* m M) in l 6.318 * [taylor]: Taking taylor expansion of m in l 6.318 * [backup-simplify]: Simplify m into m 6.318 * [taylor]: Taking taylor expansion of M in l 6.318 * [backup-simplify]: Simplify M into M 6.318 * [backup-simplify]: Simplify (* m M) into (* m M) 6.318 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.318 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in l 6.318 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in l 6.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.318 * [taylor]: Taking taylor expansion of 1/2 in l 6.318 * [backup-simplify]: Simplify 1/2 into 1/2 6.318 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.318 * [taylor]: Taking taylor expansion of (* m n) in l 6.318 * [taylor]: Taking taylor expansion of m in l 6.318 * [backup-simplify]: Simplify m into m 6.318 * [taylor]: Taking taylor expansion of n in l 6.318 * [backup-simplify]: Simplify n into n 6.319 * [backup-simplify]: Simplify (* m n) into (* m n) 6.319 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.319 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.319 * [taylor]: Taking taylor expansion of 1/4 in l 6.319 * [backup-simplify]: Simplify 1/4 into 1/4 6.319 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.319 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.319 * [taylor]: Taking taylor expansion of m in l 6.319 * [backup-simplify]: Simplify m into m 6.319 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.319 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.319 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.319 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.319 * [taylor]: Taking taylor expansion of l in l 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify 1 into 1 6.319 * [backup-simplify]: Simplify (/ 1 1) into 1 6.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.319 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.319 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.319 * [taylor]: Taking taylor expansion of M in l 6.319 * [backup-simplify]: Simplify M into M 6.319 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.319 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.319 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.319 * [taylor]: Taking taylor expansion of 1/4 in l 6.319 * [backup-simplify]: Simplify 1/4 into 1/4 6.319 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.319 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.319 * [taylor]: Taking taylor expansion of n in l 6.319 * [backup-simplify]: Simplify n into n 6.319 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.319 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in l 6.320 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.320 * [taylor]: Taking taylor expansion of (* M n) in l 6.320 * [taylor]: Taking taylor expansion of M in l 6.320 * [backup-simplify]: Simplify M into M 6.320 * [taylor]: Taking taylor expansion of n in l 6.320 * [backup-simplify]: Simplify n into n 6.320 * [backup-simplify]: Simplify (* M n) into (* M n) 6.320 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.320 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.320 * [taylor]: Taking taylor expansion of (* m M) in l 6.320 * [taylor]: Taking taylor expansion of m in l 6.320 * [backup-simplify]: Simplify m into m 6.320 * [taylor]: Taking taylor expansion of M in l 6.320 * [backup-simplify]: Simplify M into M 6.320 * [backup-simplify]: Simplify (* m M) into (* m M) 6.320 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.320 * [backup-simplify]: Simplify (+ 1 0) into 1 6.320 * [backup-simplify]: Simplify (+ 0 1) into 1 6.321 * [backup-simplify]: Simplify (+ 0 1) into 1 6.321 * [backup-simplify]: Simplify (+ 1 0) into 1 6.321 * [taylor]: Taking taylor expansion of 1 in m 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* m n))) into (/ 1/2 (* m n)) 6.321 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow m 2))) into (/ 1/4 (pow m 2)) 6.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.322 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1/4 (pow n 2))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.322 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.322 * [backup-simplify]: Simplify (+ (/ 1/4 (pow m 2)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow m 2))))) 6.322 * [backup-simplify]: Simplify (+ (/ 1/2 (* m n)) (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow m 2)))))) into (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) 6.323 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) (/ 1 (* m M))) into (+ (/ 1 (* M n)) (/ 1 (* m M))) 6.323 * [backup-simplify]: Simplify (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) into (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.323 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (- (+ (/ 1 (* M n)) (/ 1 (* m M))))) into (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.323 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m 6.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) in m 6.323 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.323 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.323 * [taylor]: Taking taylor expansion of M in m 6.323 * [backup-simplify]: Simplify M into M 6.323 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.323 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2))))) in m 6.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.323 * [taylor]: Taking taylor expansion of 1/2 in m 6.323 * [backup-simplify]: Simplify 1/2 into 1/2 6.323 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.323 * [taylor]: Taking taylor expansion of (* m n) in m 6.323 * [taylor]: Taking taylor expansion of m in m 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [taylor]: Taking taylor expansion of n in m 6.323 * [backup-simplify]: Simplify n into n 6.323 * [backup-simplify]: Simplify (* 0 n) into 0 6.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.324 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))) in m 6.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.324 * [taylor]: Taking taylor expansion of 1/4 in m 6.324 * [backup-simplify]: Simplify 1/4 into 1/4 6.324 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.324 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.324 * [taylor]: Taking taylor expansion of m in m 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (* 1 1) into 1 6.324 * [backup-simplify]: Simplify (/ 1 1) into 1 6.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.324 * [taylor]: Taking taylor expansion of 1/4 in m 6.324 * [backup-simplify]: Simplify 1/4 into 1/4 6.325 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.325 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.325 * [taylor]: Taking taylor expansion of n in m 6.325 * [backup-simplify]: Simplify n into n 6.325 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.325 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m 6.325 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.325 * [taylor]: Taking taylor expansion of (* M n) in m 6.325 * [taylor]: Taking taylor expansion of M in m 6.325 * [backup-simplify]: Simplify M into M 6.325 * [taylor]: Taking taylor expansion of n in m 6.325 * [backup-simplify]: Simplify n into n 6.325 * [backup-simplify]: Simplify (* M n) into (* M n) 6.325 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.325 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.325 * [taylor]: Taking taylor expansion of (* m M) in m 6.325 * [taylor]: Taking taylor expansion of m in m 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 1 into 1 6.325 * [taylor]: Taking taylor expansion of M in m 6.325 * [backup-simplify]: Simplify M into M 6.325 * [backup-simplify]: Simplify (* 0 M) into 0 6.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.325 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.326 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.326 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.326 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.326 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.327 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.327 * [taylor]: Taking taylor expansion of 1/4 in n 6.327 * [backup-simplify]: Simplify 1/4 into 1/4 6.327 * [backup-simplify]: Simplify (+ (* m 0) (* 0 n)) into 0 6.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))))) into 0 6.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m n)))) into 0 6.327 * [backup-simplify]: Simplify (+ (* m 0) (* 0 m)) into 0 6.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow m 2)))) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.328 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.328 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.329 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (+ 0 0) into 0 6.329 * [backup-simplify]: Simplify (+ 0 0) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.330 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.330 * [backup-simplify]: Simplify (+ (* m 0) (* 0 M)) into 0 6.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))))) into 0 6.330 * [backup-simplify]: Simplify (+ 0 0) into 0 6.330 * [backup-simplify]: Simplify (- 0) into 0 6.331 * [backup-simplify]: Simplify (+ 0 0) into 0 6.331 * [taylor]: Taking taylor expansion of 0 in m 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.332 * [backup-simplify]: Simplify (+ 0 0) into 0 6.332 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 6.332 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 n))) into (* 1/2 (/ 1 n)) 6.332 * [backup-simplify]: Simplify (+ 0 (/ 1 M)) into (/ 1 M) 6.332 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.333 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.333 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.333 * [taylor]: Taking taylor expansion of 1/2 in n 6.333 * [backup-simplify]: Simplify 1/2 into 1/2 6.333 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.333 * [taylor]: Taking taylor expansion of n in n 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.333 * [taylor]: Taking taylor expansion of M in n 6.333 * [backup-simplify]: Simplify M into M 6.333 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.333 * [taylor]: Taking taylor expansion of 1 in n 6.333 * [backup-simplify]: Simplify 1 into 1 6.333 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 n))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))) into 0 6.334 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 m))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.336 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.337 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.338 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.339 * [backup-simplify]: Simplify (+ 0 0) into 0 6.339 * [backup-simplify]: Simplify (+ 0 0) into 0 6.339 * [backup-simplify]: Simplify (+ 0 0) into 0 6.340 * [backup-simplify]: Simplify (+ 0 0) into 0 6.340 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.341 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 M))) into 0 6.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.342 * [backup-simplify]: Simplify (+ 0 0) into 0 6.342 * [backup-simplify]: Simplify (- 0) into 0 6.342 * [backup-simplify]: Simplify (+ 0 0) into 0 6.343 * [taylor]: Taking taylor expansion of 0 in m 6.343 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.347 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.347 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (pow n 2))) into (* 1/4 (/ 1 (pow n 2))) 6.348 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ 1 (pow n 2)))) into (* 1/4 (/ 1 (pow n 2))) 6.348 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.349 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) 0) into (/ 1 (* M n)) 6.349 * [backup-simplify]: Simplify (- (/ 1 (* M n))) into (- (/ 1 (* M n))) 6.349 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (- (/ 1 (* M n)))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.349 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.349 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.350 * [taylor]: Taking taylor expansion of M in n 6.350 * [backup-simplify]: Simplify M into M 6.350 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.350 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.350 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.350 * [taylor]: Taking taylor expansion of 1/4 in n 6.350 * [backup-simplify]: Simplify 1/4 into 1/4 6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.350 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.350 * [taylor]: Taking taylor expansion of n in n 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.350 * [backup-simplify]: Simplify (* 1 1) into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.351 * [taylor]: Taking taylor expansion of (* M n) in n 6.351 * [taylor]: Taking taylor expansion of M in n 6.351 * [backup-simplify]: Simplify M into M 6.351 * [taylor]: Taking taylor expansion of n in n 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (* M 0) into 0 6.351 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.351 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.352 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.352 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.353 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.353 * [taylor]: Taking taylor expansion of 1/4 in M 6.353 * [backup-simplify]: Simplify 1/4 into 1/4 6.353 * [taylor]: Taking taylor expansion of 0 in n 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.354 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.354 * [taylor]: Taking taylor expansion of 1/2 in M 6.354 * [backup-simplify]: Simplify 1/2 into 1/2 6.354 * [taylor]: Taking taylor expansion of 1/4 in M 6.354 * [backup-simplify]: Simplify 1/4 into 1/4 6.355 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n)))))) into 0 6.357 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 m)))) into 0 6.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2)))))) into 0 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.362 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.363 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2)))))) into 0 6.363 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [backup-simplify]: Simplify (+ 0 0) into 0 6.364 * [backup-simplify]: Simplify (+ 0 0) into 0 6.365 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.365 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.366 * [backup-simplify]: Simplify (+ 0 0) into 0 6.366 * [backup-simplify]: Simplify (- 0) into 0 6.366 * [backup-simplify]: Simplify (+ 0 0) into 0 6.366 * [taylor]: Taking taylor expansion of 0 in m 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [taylor]: Taking taylor expansion of 0 in n 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.370 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.370 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.370 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 M)))) into 0 6.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.372 * [backup-simplify]: Simplify (+ 0 0) into 0 6.372 * [backup-simplify]: Simplify (- 0) into 0 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [taylor]: Taking taylor expansion of 0 in n 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [taylor]: Taking taylor expansion of 0 in n 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.374 * [backup-simplify]: Simplify (+ 0 0) into 0 6.374 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.374 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.374 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.374 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.374 * [taylor]: Taking taylor expansion of M in M 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.376 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.376 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.376 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.376 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.376 * [taylor]: Taking taylor expansion of M in M 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.376 * [taylor]: Taking taylor expansion of 1 in M 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [taylor]: Taking taylor expansion of 0 in M 6.376 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))))) into 0 6.379 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 m))))) into 0 6.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))))) into 0 6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.382 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.383 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))))) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.385 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.386 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.386 * [backup-simplify]: Simplify (+ 0 0) into 0 6.387 * [backup-simplify]: Simplify (- 0) into 0 6.387 * [backup-simplify]: Simplify (+ 0 0) into 0 6.387 * [taylor]: Taking taylor expansion of 0 in m 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [taylor]: Taking taylor expansion of 0 in n 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [taylor]: Taking taylor expansion of 0 in n 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.392 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.393 * [backup-simplify]: Simplify (+ 0 0) into 0 6.394 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.396 * [backup-simplify]: Simplify (- 0) into 0 6.397 * [backup-simplify]: Simplify (+ 0 0) into 0 6.397 * [taylor]: Taking taylor expansion of 0 in n 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [taylor]: Taking taylor expansion of 0 in n 6.397 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.400 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.400 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.401 * [backup-simplify]: Simplify (- 0) into 0 6.401 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.401 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.401 * [taylor]: Taking taylor expansion of M in M 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (* 1 1) into 1 6.402 * [backup-simplify]: Simplify (/ 1 1) into 1 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [taylor]: Taking taylor expansion of 0 in M 6.402 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.404 * [backup-simplify]: Simplify (- 0) into 0 6.405 * [backup-simplify]: Simplify (+ 0 0) into 0 6.405 * [taylor]: Taking taylor expansion of 0 in M 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [taylor]: Taking taylor expansion of 0 in M 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [taylor]: Taking taylor expansion of 0 in M 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify (- 1) into -1 6.405 * [backup-simplify]: Simplify -1 into -1 6.406 * [backup-simplify]: Simplify (- 1) into -1 6.406 * [backup-simplify]: Simplify -1 into -1 6.407 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* (/ 1 (/ 1 m)) 1)))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.408 * [backup-simplify]: Simplify (+ (/ 1 (- l)) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) into (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) 6.408 * [approximate]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in (l m n M) around 0 6.408 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in M 6.408 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in M 6.408 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in M 6.408 * [taylor]: Taking taylor expansion of 1/4 in M 6.408 * [backup-simplify]: Simplify 1/4 into 1/4 6.408 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in M 6.408 * [taylor]: Taking taylor expansion of (pow m 2) in M 6.408 * [taylor]: Taking taylor expansion of m in M 6.408 * [backup-simplify]: Simplify m into m 6.408 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.409 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in M 6.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in M 6.409 * [taylor]: Taking taylor expansion of 1/2 in M 6.409 * [backup-simplify]: Simplify 1/2 into 1/2 6.409 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in M 6.409 * [taylor]: Taking taylor expansion of (* m n) in M 6.409 * [taylor]: Taking taylor expansion of m in M 6.409 * [backup-simplify]: Simplify m into m 6.409 * [taylor]: Taking taylor expansion of n in M 6.409 * [backup-simplify]: Simplify n into n 6.409 * [backup-simplify]: Simplify (* m n) into (* m n) 6.409 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in M 6.409 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.409 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.409 * [taylor]: Taking taylor expansion of M in M 6.409 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify 1 into 1 6.410 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (/ 1 1) into 1 6.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in M 6.410 * [taylor]: Taking taylor expansion of 1/4 in M 6.410 * [backup-simplify]: Simplify 1/4 into 1/4 6.410 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in M 6.410 * [taylor]: Taking taylor expansion of (pow n 2) in M 6.410 * [taylor]: Taking taylor expansion of n in M 6.410 * [backup-simplify]: Simplify n into n 6.410 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.410 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in M 6.410 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in M 6.410 * [taylor]: Taking taylor expansion of (* M n) in M 6.410 * [taylor]: Taking taylor expansion of M in M 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [taylor]: Taking taylor expansion of n in M 6.410 * [backup-simplify]: Simplify n into n 6.410 * [backup-simplify]: Simplify (* 0 n) into 0 6.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.411 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.411 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in M 6.411 * [taylor]: Taking taylor expansion of (/ 1 l) in M 6.411 * [taylor]: Taking taylor expansion of l in M 6.411 * [backup-simplify]: Simplify l into l 6.411 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.411 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in M 6.411 * [taylor]: Taking taylor expansion of (* m M) in M 6.411 * [taylor]: Taking taylor expansion of m in M 6.411 * [backup-simplify]: Simplify m into m 6.411 * [taylor]: Taking taylor expansion of M in M 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (* m 0) into 0 6.412 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.412 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.412 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in n 6.412 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in n 6.412 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in n 6.412 * [taylor]: Taking taylor expansion of 1/4 in n 6.412 * [backup-simplify]: Simplify 1/4 into 1/4 6.412 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in n 6.412 * [taylor]: Taking taylor expansion of (pow m 2) in n 6.412 * [taylor]: Taking taylor expansion of m in n 6.412 * [backup-simplify]: Simplify m into m 6.412 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.412 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.412 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n 6.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in n 6.412 * [taylor]: Taking taylor expansion of 1/2 in n 6.412 * [backup-simplify]: Simplify 1/2 into 1/2 6.412 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in n 6.412 * [taylor]: Taking taylor expansion of (* m n) in n 6.412 * [taylor]: Taking taylor expansion of m in n 6.412 * [backup-simplify]: Simplify m into m 6.412 * [taylor]: Taking taylor expansion of n in n 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify (* m 0) into 0 6.413 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.413 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.413 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.413 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.413 * [taylor]: Taking taylor expansion of M in n 6.413 * [backup-simplify]: Simplify M into M 6.413 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.413 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.413 * [taylor]: Taking taylor expansion of 1/4 in n 6.413 * [backup-simplify]: Simplify 1/4 into 1/4 6.413 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.413 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.413 * [taylor]: Taking taylor expansion of n in n 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify 1 into 1 6.414 * [backup-simplify]: Simplify (* 1 1) into 1 6.414 * [backup-simplify]: Simplify (/ 1 1) into 1 6.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in n 6.414 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.414 * [taylor]: Taking taylor expansion of (* M n) in n 6.414 * [taylor]: Taking taylor expansion of M in n 6.414 * [backup-simplify]: Simplify M into M 6.414 * [taylor]: Taking taylor expansion of n in n 6.414 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 1 into 1 6.415 * [backup-simplify]: Simplify (* M 0) into 0 6.415 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.415 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.415 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in n 6.415 * [taylor]: Taking taylor expansion of (/ 1 l) in n 6.415 * [taylor]: Taking taylor expansion of l in n 6.415 * [backup-simplify]: Simplify l into l 6.415 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.415 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in n 6.415 * [taylor]: Taking taylor expansion of (* m M) in n 6.415 * [taylor]: Taking taylor expansion of m in n 6.415 * [backup-simplify]: Simplify m into m 6.415 * [taylor]: Taking taylor expansion of M in n 6.415 * [backup-simplify]: Simplify M into M 6.415 * [backup-simplify]: Simplify (* m M) into (* m M) 6.415 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.415 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in m 6.416 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m 6.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.416 * [taylor]: Taking taylor expansion of 1/4 in m 6.416 * [backup-simplify]: Simplify 1/4 into 1/4 6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.416 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.416 * [taylor]: Taking taylor expansion of m in m 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.416 * [backup-simplify]: Simplify (* 1 1) into 1 6.416 * [backup-simplify]: Simplify (/ 1 1) into 1 6.416 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m 6.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.417 * [taylor]: Taking taylor expansion of 1/2 in m 6.417 * [backup-simplify]: Simplify 1/2 into 1/2 6.417 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.417 * [taylor]: Taking taylor expansion of (* m n) in m 6.417 * [taylor]: Taking taylor expansion of m in m 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 1 into 1 6.417 * [taylor]: Taking taylor expansion of n in m 6.417 * [backup-simplify]: Simplify n into n 6.417 * [backup-simplify]: Simplify (* 0 n) into 0 6.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.417 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m 6.417 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.417 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.417 * [taylor]: Taking taylor expansion of M in m 6.417 * [backup-simplify]: Simplify M into M 6.417 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.418 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.418 * [taylor]: Taking taylor expansion of 1/4 in m 6.418 * [backup-simplify]: Simplify 1/4 into 1/4 6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.418 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.418 * [taylor]: Taking taylor expansion of n in m 6.418 * [backup-simplify]: Simplify n into n 6.418 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.418 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in m 6.418 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.418 * [taylor]: Taking taylor expansion of (* M n) in m 6.418 * [taylor]: Taking taylor expansion of M in m 6.418 * [backup-simplify]: Simplify M into M 6.418 * [taylor]: Taking taylor expansion of n in m 6.418 * [backup-simplify]: Simplify n into n 6.418 * [backup-simplify]: Simplify (* M n) into (* M n) 6.418 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.418 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in m 6.418 * [taylor]: Taking taylor expansion of (/ 1 l) in m 6.418 * [taylor]: Taking taylor expansion of l in m 6.418 * [backup-simplify]: Simplify l into l 6.418 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.418 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.418 * [taylor]: Taking taylor expansion of (* m M) in m 6.418 * [taylor]: Taking taylor expansion of m in m 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [taylor]: Taking taylor expansion of M in m 6.418 * [backup-simplify]: Simplify M into M 6.419 * [backup-simplify]: Simplify (* 0 M) into 0 6.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.419 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.419 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in l 6.419 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.419 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.419 * [taylor]: Taking taylor expansion of 1/4 in l 6.419 * [backup-simplify]: Simplify 1/4 into 1/4 6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.419 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.419 * [taylor]: Taking taylor expansion of m in l 6.419 * [backup-simplify]: Simplify m into m 6.419 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.419 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.419 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.419 * [taylor]: Taking taylor expansion of 1/2 in l 6.420 * [backup-simplify]: Simplify 1/2 into 1/2 6.420 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.420 * [taylor]: Taking taylor expansion of (* m n) in l 6.420 * [taylor]: Taking taylor expansion of m in l 6.420 * [backup-simplify]: Simplify m into m 6.420 * [taylor]: Taking taylor expansion of n in l 6.420 * [backup-simplify]: Simplify n into n 6.420 * [backup-simplify]: Simplify (* m n) into (* m n) 6.420 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.420 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.420 * [taylor]: Taking taylor expansion of M in l 6.420 * [backup-simplify]: Simplify M into M 6.420 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.420 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.420 * [taylor]: Taking taylor expansion of 1/4 in l 6.420 * [backup-simplify]: Simplify 1/4 into 1/4 6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.420 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.420 * [taylor]: Taking taylor expansion of n in l 6.420 * [backup-simplify]: Simplify n into n 6.420 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.420 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in l 6.420 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.420 * [taylor]: Taking taylor expansion of (* M n) in l 6.420 * [taylor]: Taking taylor expansion of M in l 6.420 * [backup-simplify]: Simplify M into M 6.421 * [taylor]: Taking taylor expansion of n in l 6.421 * [backup-simplify]: Simplify n into n 6.421 * [backup-simplify]: Simplify (* M n) into (* M n) 6.421 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.421 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in l 6.421 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.421 * [taylor]: Taking taylor expansion of l in l 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [backup-simplify]: Simplify (/ 1 1) into 1 6.421 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.421 * [taylor]: Taking taylor expansion of (* m M) in l 6.421 * [taylor]: Taking taylor expansion of m in l 6.421 * [backup-simplify]: Simplify m into m 6.421 * [taylor]: Taking taylor expansion of M in l 6.421 * [backup-simplify]: Simplify M into M 6.421 * [backup-simplify]: Simplify (* m M) into (* m M) 6.421 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.421 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in l 6.422 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.422 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.422 * [taylor]: Taking taylor expansion of 1/4 in l 6.422 * [backup-simplify]: Simplify 1/4 into 1/4 6.422 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.422 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.422 * [taylor]: Taking taylor expansion of m in l 6.422 * [backup-simplify]: Simplify m into m 6.422 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.422 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.422 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.422 * [taylor]: Taking taylor expansion of 1/2 in l 6.422 * [backup-simplify]: Simplify 1/2 into 1/2 6.422 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.422 * [taylor]: Taking taylor expansion of (* m n) in l 6.422 * [taylor]: Taking taylor expansion of m in l 6.422 * [backup-simplify]: Simplify m into m 6.422 * [taylor]: Taking taylor expansion of n in l 6.422 * [backup-simplify]: Simplify n into n 6.422 * [backup-simplify]: Simplify (* m n) into (* m n) 6.422 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.422 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.422 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.422 * [taylor]: Taking taylor expansion of M in l 6.422 * [backup-simplify]: Simplify M into M 6.422 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.422 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.423 * [taylor]: Taking taylor expansion of 1/4 in l 6.423 * [backup-simplify]: Simplify 1/4 into 1/4 6.423 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.423 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.423 * [taylor]: Taking taylor expansion of n in l 6.423 * [backup-simplify]: Simplify n into n 6.423 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.423 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in l 6.423 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.423 * [taylor]: Taking taylor expansion of (* M n) in l 6.423 * [taylor]: Taking taylor expansion of M in l 6.423 * [backup-simplify]: Simplify M into M 6.423 * [taylor]: Taking taylor expansion of n in l 6.423 * [backup-simplify]: Simplify n into n 6.423 * [backup-simplify]: Simplify (* M n) into (* M n) 6.423 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.423 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in l 6.423 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.423 * [taylor]: Taking taylor expansion of l in l 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify 1 into 1 6.424 * [backup-simplify]: Simplify (/ 1 1) into 1 6.424 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.424 * [taylor]: Taking taylor expansion of (* m M) in l 6.424 * [taylor]: Taking taylor expansion of m in l 6.424 * [backup-simplify]: Simplify m into m 6.424 * [taylor]: Taking taylor expansion of M in l 6.424 * [backup-simplify]: Simplify M into M 6.424 * [backup-simplify]: Simplify (* m M) into (* m M) 6.424 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.424 * [backup-simplify]: Simplify (+ 1 0) into 1 6.425 * [backup-simplify]: Simplify (+ 0 1) into 1 6.425 * [backup-simplify]: Simplify (- 1) into -1 6.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.426 * [taylor]: Taking taylor expansion of -1 in m 6.426 * [backup-simplify]: Simplify -1 into -1 6.426 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow m 2))) into (/ 1/4 (pow m 2)) 6.426 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* m n))) into (/ 1/2 (* m n)) 6.426 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.426 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1/4 (pow n 2))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.426 * [backup-simplify]: Simplify (+ (/ 1/2 (* m n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (* 1/4 (/ 1 (pow n 2))))) 6.427 * [backup-simplify]: Simplify (+ (/ 1/4 (pow m 2)) (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (* 1/4 (/ 1 (pow n 2)))))) into (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) 6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (+ 0 (/ 1 (* m M))) into (/ 1 (* m M)) 6.428 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) (/ 1 (* m M))) into (+ (/ 1 (* M n)) (/ 1 (* m M))) 6.428 * [backup-simplify]: Simplify (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) into (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.429 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (- (+ (/ 1 (* M n)) (/ 1 (* m M))))) into (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.429 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m 6.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) in m 6.429 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.429 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.429 * [taylor]: Taking taylor expansion of M in m 6.429 * [backup-simplify]: Simplify M into M 6.429 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.429 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.429 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2))))) in m 6.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.429 * [taylor]: Taking taylor expansion of 1/2 in m 6.429 * [backup-simplify]: Simplify 1/2 into 1/2 6.429 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.429 * [taylor]: Taking taylor expansion of (* m n) in m 6.429 * [taylor]: Taking taylor expansion of m in m 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 1 into 1 6.429 * [taylor]: Taking taylor expansion of n in m 6.430 * [backup-simplify]: Simplify n into n 6.430 * [backup-simplify]: Simplify (* 0 n) into 0 6.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.432 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.432 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))) in m 6.432 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.432 * [taylor]: Taking taylor expansion of 1/4 in m 6.432 * [backup-simplify]: Simplify 1/4 into 1/4 6.432 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.432 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.432 * [taylor]: Taking taylor expansion of m in m 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.433 * [backup-simplify]: Simplify (* 1 1) into 1 6.433 * [backup-simplify]: Simplify (/ 1 1) into 1 6.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.433 * [taylor]: Taking taylor expansion of 1/4 in m 6.433 * [backup-simplify]: Simplify 1/4 into 1/4 6.433 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.433 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.433 * [taylor]: Taking taylor expansion of n in m 6.433 * [backup-simplify]: Simplify n into n 6.433 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.433 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m 6.433 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.433 * [taylor]: Taking taylor expansion of (* M n) in m 6.434 * [taylor]: Taking taylor expansion of M in m 6.434 * [backup-simplify]: Simplify M into M 6.434 * [taylor]: Taking taylor expansion of n in m 6.434 * [backup-simplify]: Simplify n into n 6.434 * [backup-simplify]: Simplify (* M n) into (* M n) 6.434 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.434 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.434 * [taylor]: Taking taylor expansion of (* m M) in m 6.434 * [taylor]: Taking taylor expansion of m in m 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [taylor]: Taking taylor expansion of M in m 6.434 * [backup-simplify]: Simplify M into M 6.434 * [backup-simplify]: Simplify (* 0 M) into 0 6.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.434 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.435 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.435 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.436 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.436 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.436 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.437 * [taylor]: Taking taylor expansion of 1/4 in n 6.437 * [backup-simplify]: Simplify 1/4 into 1/4 6.437 * [backup-simplify]: Simplify (+ (* m 0) (* 0 m)) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))))) into 0 6.437 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow m 2)))) into 0 6.438 * [backup-simplify]: Simplify (+ (* m 0) (* 0 n)) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))))) into 0 6.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m n)))) into 0 6.438 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.439 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.439 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.440 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [backup-simplify]: Simplify (+ 0 0) into 0 6.440 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.442 * [backup-simplify]: Simplify (+ (* m 0) (* 0 M)) into 0 6.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))))) into 0 6.442 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.443 * [backup-simplify]: Simplify (- 0) into 0 6.444 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [taylor]: Taking taylor expansion of 0 in m 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.446 * [backup-simplify]: Simplify (+ 0 0) into 0 6.446 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 6.446 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 n))) into (* 1/2 (/ 1 n)) 6.446 * [backup-simplify]: Simplify (+ 0 (/ 1 M)) into (/ 1 M) 6.447 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.447 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.447 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.447 * [taylor]: Taking taylor expansion of 1/2 in n 6.447 * [backup-simplify]: Simplify 1/2 into 1/2 6.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.447 * [taylor]: Taking taylor expansion of n in n 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (/ 1 1) into 1 6.447 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.447 * [taylor]: Taking taylor expansion of M in n 6.447 * [backup-simplify]: Simplify M into M 6.447 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.447 * [taylor]: Taking taylor expansion of -1 in n 6.448 * [backup-simplify]: Simplify -1 into -1 6.448 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 m))) into 0 6.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))) into 0 6.450 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 n))) into 0 6.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))) into 0 6.451 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.452 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.453 * [backup-simplify]: Simplify (+ 0 0) into 0 6.454 * [backup-simplify]: Simplify (+ 0 0) into 0 6.454 * [backup-simplify]: Simplify (+ 0 0) into 0 6.454 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.456 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 M))) into 0 6.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [backup-simplify]: Simplify (- 0) into 0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.458 * [taylor]: Taking taylor expansion of 0 in m 6.458 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 6.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.462 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (pow n 2))) into (* 1/4 (/ 1 (pow n 2))) 6.462 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ 1 (pow n 2)))) into (* 1/4 (/ 1 (pow n 2))) 6.463 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 6.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.464 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) 0) into (/ 1 (* M n)) 6.464 * [backup-simplify]: Simplify (- (/ 1 (* M n))) into (- (/ 1 (* M n))) 6.464 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (- (/ 1 (* M n)))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.464 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.464 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.464 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.464 * [taylor]: Taking taylor expansion of M in n 6.464 * [backup-simplify]: Simplify M into M 6.464 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.465 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.465 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.465 * [taylor]: Taking taylor expansion of 1/4 in n 6.465 * [backup-simplify]: Simplify 1/4 into 1/4 6.465 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.465 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.465 * [taylor]: Taking taylor expansion of n in n 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (* 1 1) into 1 6.465 * [backup-simplify]: Simplify (/ 1 1) into 1 6.466 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.466 * [taylor]: Taking taylor expansion of (* M n) in n 6.466 * [taylor]: Taking taylor expansion of M in n 6.466 * [backup-simplify]: Simplify M into M 6.466 * [taylor]: Taking taylor expansion of n in n 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (* M 0) into 0 6.466 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.466 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.467 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.467 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.467 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.467 * [taylor]: Taking taylor expansion of 1/4 in M 6.467 * [backup-simplify]: Simplify 1/4 into 1/4 6.468 * [taylor]: Taking taylor expansion of 0 in n 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.468 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.468 * [taylor]: Taking taylor expansion of 1/2 in M 6.469 * [backup-simplify]: Simplify 1/2 into 1/2 6.469 * [taylor]: Taking taylor expansion of 1/4 in M 6.469 * [backup-simplify]: Simplify 1/4 into 1/4 6.470 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 m)))) into 0 6.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2)))))) into 0 6.472 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n)))))) into 0 6.473 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.474 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2)))))) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.475 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (+ 0 0) into 0 6.476 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (- 0) into 0 6.478 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [taylor]: Taking taylor expansion of 0 in m 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [taylor]: Taking taylor expansion of 0 in n 6.478 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 6.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.483 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 M)))) into 0 6.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.485 * [backup-simplify]: Simplify (- 0) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.485 * [taylor]: Taking taylor expansion of 0 in n 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [taylor]: Taking taylor expansion of 0 in n 6.485 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.487 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.487 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.487 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.487 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.487 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.487 * [taylor]: Taking taylor expansion of M in M 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.488 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.488 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.488 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.488 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.488 * [taylor]: Taking taylor expansion of M in M 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [taylor]: Taking taylor expansion of -1 in M 6.489 * [backup-simplify]: Simplify -1 into -1 6.489 * [taylor]: Taking taylor expansion of 0 in M 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 m))))) into 0 6.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))))) into 0 6.491 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))))) into 0 6.493 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.494 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))))) into 0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.496 * [backup-simplify]: Simplify (+ 0 0) into 0 6.497 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [backup-simplify]: Simplify (- 0) into 0 6.499 * [backup-simplify]: Simplify (+ 0 0) into 0 6.499 * [taylor]: Taking taylor expansion of 0 in m 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [taylor]: Taking taylor expansion of 0 in n 6.499 * [backup-simplify]: Simplify 0 into 0 6.499 * [taylor]: Taking taylor expansion of 0 in n 6.499 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.504 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (+ 0 0) into 0 6.506 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.508 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [taylor]: Taking taylor expansion of 0 in n 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [taylor]: Taking taylor expansion of 0 in n 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.510 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.510 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.510 * [backup-simplify]: Simplify (- 0) into 0 6.510 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.510 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.510 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.510 * [taylor]: Taking taylor expansion of M in M 6.510 * [backup-simplify]: Simplify 0 into 0 6.510 * [backup-simplify]: Simplify 1 into 1 6.511 * [backup-simplify]: Simplify (* 1 1) into 1 6.511 * [backup-simplify]: Simplify (/ 1 1) into 1 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [taylor]: Taking taylor expansion of 0 in M 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.512 * [backup-simplify]: Simplify (- 0) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.513 * [taylor]: Taking taylor expansion of 0 in M 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [taylor]: Taking taylor expansion of 0 in M 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [taylor]: Taking taylor expansion of 0 in M 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify (- 1) into -1 6.513 * [backup-simplify]: Simplify -1 into -1 6.513 * [backup-simplify]: Simplify (- 1) into -1 6.513 * [backup-simplify]: Simplify -1 into -1 6.514 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (* (/ 1 (/ 1 (- m))) 1)))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.514 * * * [progress]: simplifying candidates 6.514 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 6.514 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 6.514 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 11 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 20 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 6.515 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 38 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 6.516 * * * * [progress]: [ 48 / 71 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 6.517 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 58 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 64 / 71 ] simplifiying candidate #real (real->posit16 (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 6.517 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 6.517 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 6.518 * [simplify]: Simplifying: (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (exp l) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (log (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (* (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (sqrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (sqrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (+ (pow l 3) (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 3)) (+ (* l l) (- (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- (* l l) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ l (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (+ l (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (+ l (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (+ l (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (real->posit16 (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 6.520 * * [simplify]: iteration 0: 119 enodes 6.557 * * [simplify]: iteration 1: 349 enodes 6.725 * * [simplify]: iteration 2: 1187 enodes 7.042 * * [simplify]: iteration 3: 2001 enodes 7.413 * * [simplify]: iteration complete: 2001 enodes 7.413 * * [simplify]: Extracting #0: cost 48 inf + 0 7.414 * * [simplify]: Extracting #1: cost 293 inf + 2 7.415 * * [simplify]: Extracting #2: cost 613 inf + 243 7.422 * * [simplify]: Extracting #3: cost 636 inf + 25176 7.453 * * [simplify]: Extracting #4: cost 251 inf + 114548 7.489 * * [simplify]: Extracting #5: cost 25 inf + 174966 7.525 * * [simplify]: Extracting #6: cost 16 inf + 176882 7.567 * * [simplify]: Extracting #7: cost 4 inf + 178733 7.606 * * [simplify]: Extracting #8: cost 0 inf + 179826 7.649 * [simplify]: Simplified to: 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (* 2 (log (- (/ (+ n m) 2) M))) (* 2 (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))) (* (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (+ M (/ (+ n m) 2))) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))) (* (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (+ M (/ (+ n m) 2))) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 2 (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (log (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (* (cbrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (cbrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l))) (cbrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (* (* (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l) (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (sqrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (sqrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (+ (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (* (* l l) l)) (+ (* l l) (* (- (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l) (- l (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (- l (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (real->posit16 (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (+ (* 1/2 (* m n)) (* 1/4 (+ (* m m) (* n n)))) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) (+ (+ l (* 1/2 (* m n))) (* (* m m) 1/4)) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) 7.658 * * * [progress]: adding candidates to table 8.518 * * [progress]: iteration 3 / 4 8.518 * * * [progress]: picking best candidate 8.601 * * * * [pick]: Picked # 8.601 * * * [progress]: localizing error 8.658 * * * [progress]: generating rewritten candidates 8.658 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 8.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 8.717 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 8.752 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 8.754 * * * [progress]: generating series expansions 8.754 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 8.754 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.754 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 8.754 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.754 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.754 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.754 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.754 * [taylor]: Taking taylor expansion of 1/2 in M 8.754 * [backup-simplify]: Simplify 1/2 into 1/2 8.754 * [taylor]: Taking taylor expansion of (* K n) in M 8.754 * [taylor]: Taking taylor expansion of K in M 8.754 * [backup-simplify]: Simplify K into K 8.754 * [taylor]: Taking taylor expansion of n in M 8.754 * [backup-simplify]: Simplify n into n 8.754 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.754 * [taylor]: Taking taylor expansion of 1/2 in M 8.754 * [backup-simplify]: Simplify 1/2 into 1/2 8.754 * [taylor]: Taking taylor expansion of (* K m) in M 8.754 * [taylor]: Taking taylor expansion of K in M 8.754 * [backup-simplify]: Simplify K into K 8.754 * [taylor]: Taking taylor expansion of m in M 8.754 * [backup-simplify]: Simplify m into m 8.754 * [taylor]: Taking taylor expansion of M in M 8.754 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify 1 into 1 8.754 * [backup-simplify]: Simplify (* K n) into (* K n) 8.754 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.755 * [backup-simplify]: Simplify (* K m) into (* K m) 8.755 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.755 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.755 * [backup-simplify]: Simplify (- 0) into 0 8.755 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.755 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.755 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.755 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.756 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.756 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.756 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.756 * [taylor]: Taking taylor expansion of 1/2 in K 8.756 * [backup-simplify]: Simplify 1/2 into 1/2 8.756 * [taylor]: Taking taylor expansion of (* K n) in K 8.756 * [taylor]: Taking taylor expansion of K in K 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [taylor]: Taking taylor expansion of n in K 8.756 * [backup-simplify]: Simplify n into n 8.756 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.756 * [taylor]: Taking taylor expansion of 1/2 in K 8.756 * [backup-simplify]: Simplify 1/2 into 1/2 8.756 * [taylor]: Taking taylor expansion of (* K m) in K 8.756 * [taylor]: Taking taylor expansion of K in K 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [taylor]: Taking taylor expansion of m in K 8.756 * [backup-simplify]: Simplify m into m 8.756 * [taylor]: Taking taylor expansion of M in K 8.756 * [backup-simplify]: Simplify M into M 8.756 * [backup-simplify]: Simplify (* 0 n) into 0 8.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.756 * [backup-simplify]: Simplify (* 0 m) into 0 8.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.757 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [backup-simplify]: Simplify (- M) into (- M) 8.757 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.757 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.757 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.757 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.757 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.757 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.757 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.757 * [taylor]: Taking taylor expansion of 1/2 in n 8.757 * [backup-simplify]: Simplify 1/2 into 1/2 8.757 * [taylor]: Taking taylor expansion of (* K n) in n 8.757 * [taylor]: Taking taylor expansion of K in n 8.757 * [backup-simplify]: Simplify K into K 8.757 * [taylor]: Taking taylor expansion of n in n 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.757 * [taylor]: Taking taylor expansion of 1/2 in n 8.757 * [backup-simplify]: Simplify 1/2 into 1/2 8.757 * [taylor]: Taking taylor expansion of (* K m) in n 8.757 * [taylor]: Taking taylor expansion of K in n 8.757 * [backup-simplify]: Simplify K into K 8.757 * [taylor]: Taking taylor expansion of m in n 8.757 * [backup-simplify]: Simplify m into m 8.757 * [taylor]: Taking taylor expansion of M in n 8.757 * [backup-simplify]: Simplify M into M 8.757 * [backup-simplify]: Simplify (* K 0) into 0 8.757 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.758 * [backup-simplify]: Simplify (* K m) into (* K m) 8.758 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.758 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.758 * [backup-simplify]: Simplify (- M) into (- M) 8.758 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.758 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.758 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.758 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.758 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.758 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.758 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.758 * [taylor]: Taking taylor expansion of 1/2 in m 8.758 * [backup-simplify]: Simplify 1/2 into 1/2 8.758 * [taylor]: Taking taylor expansion of (* K n) in m 8.758 * [taylor]: Taking taylor expansion of K in m 8.758 * [backup-simplify]: Simplify K into K 8.758 * [taylor]: Taking taylor expansion of n in m 8.758 * [backup-simplify]: Simplify n into n 8.758 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.758 * [taylor]: Taking taylor expansion of 1/2 in m 8.758 * [backup-simplify]: Simplify 1/2 into 1/2 8.758 * [taylor]: Taking taylor expansion of (* K m) in m 8.758 * [taylor]: Taking taylor expansion of K in m 8.758 * [backup-simplify]: Simplify K into K 8.758 * [taylor]: Taking taylor expansion of m in m 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [taylor]: Taking taylor expansion of M in m 8.758 * [backup-simplify]: Simplify M into M 8.758 * [backup-simplify]: Simplify (* K n) into (* K n) 8.758 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.758 * [backup-simplify]: Simplify (* K 0) into 0 8.759 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.759 * [backup-simplify]: Simplify (- M) into (- M) 8.759 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.759 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.759 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.759 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.759 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.759 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.759 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.759 * [taylor]: Taking taylor expansion of 1/2 in m 8.759 * [backup-simplify]: Simplify 1/2 into 1/2 8.759 * [taylor]: Taking taylor expansion of (* K n) in m 8.759 * [taylor]: Taking taylor expansion of K in m 8.759 * [backup-simplify]: Simplify K into K 8.759 * [taylor]: Taking taylor expansion of n in m 8.759 * [backup-simplify]: Simplify n into n 8.759 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.759 * [taylor]: Taking taylor expansion of 1/2 in m 8.759 * [backup-simplify]: Simplify 1/2 into 1/2 8.759 * [taylor]: Taking taylor expansion of (* K m) in m 8.759 * [taylor]: Taking taylor expansion of K in m 8.759 * [backup-simplify]: Simplify K into K 8.759 * [taylor]: Taking taylor expansion of m in m 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of M in m 8.759 * [backup-simplify]: Simplify M into M 8.759 * [backup-simplify]: Simplify (* K n) into (* K n) 8.759 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.759 * [backup-simplify]: Simplify (* K 0) into 0 8.760 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.760 * [backup-simplify]: Simplify (- M) into (- M) 8.760 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.760 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.760 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.760 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 8.760 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 8.760 * [backup-simplify]: Simplify (- 0) into 0 8.761 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 8.761 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 8.761 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.761 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.761 * [taylor]: Taking taylor expansion of 1/2 in n 8.761 * [backup-simplify]: Simplify 1/2 into 1/2 8.761 * [taylor]: Taking taylor expansion of (* K n) in n 8.761 * [taylor]: Taking taylor expansion of K in n 8.761 * [backup-simplify]: Simplify K into K 8.761 * [taylor]: Taking taylor expansion of n in n 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 1 into 1 8.761 * [taylor]: Taking taylor expansion of M in n 8.761 * [backup-simplify]: Simplify M into M 8.761 * [backup-simplify]: Simplify (* K 0) into 0 8.761 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.761 * [backup-simplify]: Simplify (- M) into (- M) 8.761 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.761 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.761 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.761 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.761 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.762 * [backup-simplify]: Simplify (- 0) into 0 8.762 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.762 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.762 * [taylor]: Taking taylor expansion of (- M) in K 8.762 * [taylor]: Taking taylor expansion of M in K 8.762 * [backup-simplify]: Simplify M into M 8.762 * [backup-simplify]: Simplify (- M) into (- M) 8.762 * [backup-simplify]: Simplify (- M) into (- M) 8.762 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.763 * [backup-simplify]: Simplify (- M) into (- M) 8.763 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.763 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.763 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.764 * [backup-simplify]: Simplify (- 0) into 0 8.764 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.764 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.764 * [taylor]: Taking taylor expansion of (- M) in M 8.764 * [taylor]: Taking taylor expansion of M in M 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [backup-simplify]: Simplify (- 0) into 0 8.764 * [backup-simplify]: Simplify (- 1) into -1 8.764 * [backup-simplify]: Simplify 1 into 1 8.765 * [backup-simplify]: Simplify (+ 0) into 0 8.765 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 8.765 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 8.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 8.766 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.766 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.766 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 8.766 * [backup-simplify]: Simplify (- 0) into 0 8.766 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.767 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 8.767 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 8.767 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 8.767 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 8.767 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 8.767 * [taylor]: Taking taylor expansion of 1/2 in n 8.767 * [backup-simplify]: Simplify 1/2 into 1/2 8.767 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 8.767 * [taylor]: Taking taylor expansion of K in n 8.767 * [backup-simplify]: Simplify K into K 8.767 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 8.767 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.767 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.767 * [taylor]: Taking taylor expansion of 1/2 in n 8.767 * [backup-simplify]: Simplify 1/2 into 1/2 8.767 * [taylor]: Taking taylor expansion of (* K n) in n 8.767 * [taylor]: Taking taylor expansion of K in n 8.767 * [backup-simplify]: Simplify K into K 8.767 * [taylor]: Taking taylor expansion of n in n 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.767 * [taylor]: Taking taylor expansion of M in n 8.767 * [backup-simplify]: Simplify M into M 8.767 * [backup-simplify]: Simplify (* K 0) into 0 8.768 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.768 * [backup-simplify]: Simplify (- M) into (- M) 8.768 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.768 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.768 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.768 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.768 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.768 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.768 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 8.768 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 8.768 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 8.768 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 8.768 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 8.768 * [taylor]: Taking taylor expansion of 1/2 in K 8.768 * [backup-simplify]: Simplify 1/2 into 1/2 8.768 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 8.768 * [taylor]: Taking taylor expansion of K in K 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 1 into 1 8.768 * [taylor]: Taking taylor expansion of (sin (- M)) in K 8.768 * [taylor]: Taking taylor expansion of (- M) in K 8.768 * [taylor]: Taking taylor expansion of M in K 8.768 * [backup-simplify]: Simplify M into M 8.768 * [backup-simplify]: Simplify (- M) into (- M) 8.768 * [backup-simplify]: Simplify (- M) into (- M) 8.768 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.769 * [backup-simplify]: Simplify (- M) into (- M) 8.769 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.769 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.769 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.769 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.769 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.769 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.769 * [backup-simplify]: Simplify (- 0) into 0 8.769 * [taylor]: Taking taylor expansion of 0 in M 8.769 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify (+ 0) into 0 8.770 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.770 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.771 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.771 * [backup-simplify]: Simplify (- 0) into 0 8.771 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.771 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.771 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 8.771 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 8.771 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 8.771 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 8.771 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 8.772 * [taylor]: Taking taylor expansion of 1/2 in K 8.772 * [backup-simplify]: Simplify 1/2 into 1/2 8.772 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 8.772 * [taylor]: Taking taylor expansion of K in K 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of (sin (- M)) in K 8.772 * [taylor]: Taking taylor expansion of (- M) in K 8.772 * [taylor]: Taking taylor expansion of M in K 8.772 * [backup-simplify]: Simplify M into M 8.772 * [backup-simplify]: Simplify (- M) into (- M) 8.772 * [backup-simplify]: Simplify (- M) into (- M) 8.772 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.772 * [backup-simplify]: Simplify (- M) into (- M) 8.772 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.772 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.772 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.772 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.772 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.773 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.773 * [backup-simplify]: Simplify (- 0) into 0 8.773 * [taylor]: Taking taylor expansion of 0 in M 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (+ 0) into 0 8.774 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.776 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.776 * [backup-simplify]: Simplify (- 0) into 0 8.776 * [backup-simplify]: Simplify (+ 0 0) into 0 8.776 * [taylor]: Taking taylor expansion of 0 in M 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify (+ 0) into 0 8.777 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 8.778 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 8.778 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 8.780 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 8.781 * [backup-simplify]: Simplify (+ 0 0) into 0 8.781 * [backup-simplify]: Simplify (- 0) into 0 8.782 * [backup-simplify]: Simplify (+ 0 0) into 0 8.782 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.783 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 8.783 * [backup-simplify]: Simplify (- 0) into 0 8.784 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 8.784 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 8.784 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 8.784 * [taylor]: Taking taylor expansion of 1/8 in n 8.784 * [backup-simplify]: Simplify 1/8 into 1/8 8.784 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 8.784 * [taylor]: Taking taylor expansion of (pow K 2) in n 8.784 * [taylor]: Taking taylor expansion of K in n 8.784 * [backup-simplify]: Simplify K into K 8.784 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 8.784 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.784 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.784 * [taylor]: Taking taylor expansion of 1/2 in n 8.784 * [backup-simplify]: Simplify 1/2 into 1/2 8.784 * [taylor]: Taking taylor expansion of (* K n) in n 8.784 * [taylor]: Taking taylor expansion of K in n 8.784 * [backup-simplify]: Simplify K into K 8.784 * [taylor]: Taking taylor expansion of n in n 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [taylor]: Taking taylor expansion of M in n 8.784 * [backup-simplify]: Simplify M into M 8.784 * [backup-simplify]: Simplify (* K 0) into 0 8.785 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.785 * [backup-simplify]: Simplify (- M) into (- M) 8.785 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.785 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.785 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.785 * [backup-simplify]: Simplify (* K K) into (pow K 2) 8.785 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.785 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.786 * [backup-simplify]: Simplify (- 0) into 0 8.786 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.786 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 8.786 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 8.786 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.786 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 8.786 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 8.786 * [taylor]: Taking taylor expansion of 1/8 in K 8.786 * [backup-simplify]: Simplify 1/8 into 1/8 8.786 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.786 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.786 * [taylor]: Taking taylor expansion of K in K 8.786 * [backup-simplify]: Simplify 0 into 0 8.786 * [backup-simplify]: Simplify 1 into 1 8.786 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.786 * [taylor]: Taking taylor expansion of (- M) in K 8.786 * [taylor]: Taking taylor expansion of M in K 8.786 * [backup-simplify]: Simplify M into M 8.786 * [backup-simplify]: Simplify (- M) into (- M) 8.786 * [backup-simplify]: Simplify (- M) into (- M) 8.787 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.787 * [backup-simplify]: Simplify (- M) into (- M) 8.787 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.787 * [backup-simplify]: Simplify (+ 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.788 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.788 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.789 * [backup-simplify]: Simplify (- 0) into 0 8.789 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.789 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 8.790 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 8.790 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 8.790 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 8.790 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 8.790 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 8.790 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 8.790 * [taylor]: Taking taylor expansion of 1/4 in K 8.790 * [backup-simplify]: Simplify 1/4 into 1/4 8.790 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.790 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.790 * [taylor]: Taking taylor expansion of K in K 8.790 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.791 * [taylor]: Taking taylor expansion of (- M) in K 8.791 * [taylor]: Taking taylor expansion of M in K 8.791 * [backup-simplify]: Simplify M into M 8.791 * [backup-simplify]: Simplify (- M) into (- M) 8.791 * [backup-simplify]: Simplify (- M) into (- M) 8.791 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.791 * [backup-simplify]: Simplify (- M) into (- M) 8.791 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 8.792 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.793 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 8.794 * [backup-simplify]: Simplify (- 0) into 0 8.794 * [backup-simplify]: Simplify (+ 0 0) into 0 8.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.795 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 8.796 * [backup-simplify]: Simplify (- 0) into 0 8.796 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.796 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 8.796 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 8.796 * [taylor]: Taking taylor expansion of 1/8 in K 8.796 * [backup-simplify]: Simplify 1/8 into 1/8 8.796 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.796 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.796 * [taylor]: Taking taylor expansion of K in K 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.796 * [taylor]: Taking taylor expansion of (- M) in K 8.796 * [taylor]: Taking taylor expansion of M in K 8.796 * [backup-simplify]: Simplify M into M 8.796 * [backup-simplify]: Simplify (- M) into (- M) 8.796 * [backup-simplify]: Simplify (- M) into (- M) 8.796 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.796 * [backup-simplify]: Simplify (- M) into (- M) 8.797 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.797 * [backup-simplify]: Simplify (+ 0) into 0 8.797 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.798 * [backup-simplify]: Simplify (- 0) into 0 8.798 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.799 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.799 * [backup-simplify]: Simplify (+ 0 0) into 0 8.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.800 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.800 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.800 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.800 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.800 * [taylor]: Taking taylor expansion of 1/2 in M 8.800 * [backup-simplify]: Simplify 1/2 into 1/2 8.800 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.800 * [taylor]: Taking taylor expansion of (- M) in M 8.800 * [taylor]: Taking taylor expansion of M in M 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (- 0) into 0 8.801 * [backup-simplify]: Simplify (- 1) into -1 8.802 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.802 * [backup-simplify]: Simplify (- 0) into 0 8.802 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (+ 0) into 0 8.803 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.803 * [backup-simplify]: Simplify (- 0) into 0 8.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.805 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.805 * [backup-simplify]: Simplify (+ 0 0) into 0 8.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.806 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.806 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.806 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.806 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.806 * [taylor]: Taking taylor expansion of 1/2 in M 8.806 * [backup-simplify]: Simplify 1/2 into 1/2 8.806 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.806 * [taylor]: Taking taylor expansion of (- M) in M 8.806 * [taylor]: Taking taylor expansion of M in M 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.806 * [backup-simplify]: Simplify (- 0) into 0 8.807 * [backup-simplify]: Simplify (- 1) into -1 8.807 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.808 * [backup-simplify]: Simplify (- 0) into 0 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 1 into 1 8.808 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.808 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 8.808 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.808 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.808 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.808 * [taylor]: Taking taylor expansion of 1/2 in M 8.808 * [backup-simplify]: Simplify 1/2 into 1/2 8.808 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.808 * [taylor]: Taking taylor expansion of (* m K) in M 8.808 * [taylor]: Taking taylor expansion of m in M 8.808 * [backup-simplify]: Simplify m into m 8.808 * [taylor]: Taking taylor expansion of K in M 8.808 * [backup-simplify]: Simplify K into K 8.808 * [backup-simplify]: Simplify (* m K) into (* m K) 8.809 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.809 * [taylor]: Taking taylor expansion of 1/2 in M 8.809 * [backup-simplify]: Simplify 1/2 into 1/2 8.809 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.809 * [taylor]: Taking taylor expansion of (* K n) in M 8.809 * [taylor]: Taking taylor expansion of K in M 8.809 * [backup-simplify]: Simplify K into K 8.809 * [taylor]: Taking taylor expansion of n in M 8.809 * [backup-simplify]: Simplify n into n 8.809 * [backup-simplify]: Simplify (* K n) into (* K n) 8.809 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.809 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.809 * [taylor]: Taking taylor expansion of M in M 8.809 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 1 into 1 8.809 * [backup-simplify]: Simplify (/ 1 1) into 1 8.810 * [backup-simplify]: Simplify (- 1) into -1 8.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.810 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.810 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.810 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.811 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.811 * [taylor]: Taking taylor expansion of 1/2 in K 8.811 * [backup-simplify]: Simplify 1/2 into 1/2 8.811 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.811 * [taylor]: Taking taylor expansion of (* m K) in K 8.811 * [taylor]: Taking taylor expansion of m in K 8.811 * [backup-simplify]: Simplify m into m 8.811 * [taylor]: Taking taylor expansion of K in K 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (* m 0) into 0 8.811 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.811 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.811 * [taylor]: Taking taylor expansion of 1/2 in K 8.811 * [backup-simplify]: Simplify 1/2 into 1/2 8.811 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.811 * [taylor]: Taking taylor expansion of (* K n) in K 8.811 * [taylor]: Taking taylor expansion of K in K 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.812 * [taylor]: Taking taylor expansion of n in K 8.812 * [backup-simplify]: Simplify n into n 8.812 * [backup-simplify]: Simplify (* 0 n) into 0 8.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.812 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.812 * [taylor]: Taking taylor expansion of M in K 8.812 * [backup-simplify]: Simplify M into M 8.812 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.812 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.812 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.812 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.813 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.813 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.813 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.813 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.813 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.813 * [taylor]: Taking taylor expansion of 1/2 in n 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.813 * [taylor]: Taking taylor expansion of (* m K) in n 8.813 * [taylor]: Taking taylor expansion of m in n 8.813 * [backup-simplify]: Simplify m into m 8.813 * [taylor]: Taking taylor expansion of K in n 8.813 * [backup-simplify]: Simplify K into K 8.813 * [backup-simplify]: Simplify (* m K) into (* m K) 8.813 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.813 * [taylor]: Taking taylor expansion of 1/2 in n 8.813 * [backup-simplify]: Simplify 1/2 into 1/2 8.813 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.813 * [taylor]: Taking taylor expansion of (* K n) in n 8.814 * [taylor]: Taking taylor expansion of K in n 8.814 * [backup-simplify]: Simplify K into K 8.814 * [taylor]: Taking taylor expansion of n in n 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (* K 0) into 0 8.814 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.814 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.814 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.814 * [taylor]: Taking taylor expansion of M in n 8.814 * [backup-simplify]: Simplify M into M 8.814 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.814 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.814 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.815 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.815 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.815 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.815 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.815 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.815 * [taylor]: Taking taylor expansion of 1/2 in m 8.815 * [backup-simplify]: Simplify 1/2 into 1/2 8.815 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.815 * [taylor]: Taking taylor expansion of (* m K) in m 8.815 * [taylor]: Taking taylor expansion of m in m 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [taylor]: Taking taylor expansion of K in m 8.815 * [backup-simplify]: Simplify K into K 8.815 * [backup-simplify]: Simplify (* 0 K) into 0 8.816 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.816 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.816 * [taylor]: Taking taylor expansion of 1/2 in m 8.816 * [backup-simplify]: Simplify 1/2 into 1/2 8.816 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.816 * [taylor]: Taking taylor expansion of (* K n) in m 8.816 * [taylor]: Taking taylor expansion of K in m 8.816 * [backup-simplify]: Simplify K into K 8.816 * [taylor]: Taking taylor expansion of n in m 8.816 * [backup-simplify]: Simplify n into n 8.816 * [backup-simplify]: Simplify (* K n) into (* K n) 8.816 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.816 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.816 * [taylor]: Taking taylor expansion of M in m 8.816 * [backup-simplify]: Simplify M into M 8.816 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.816 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.816 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.816 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.817 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.817 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.817 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.817 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.817 * [taylor]: Taking taylor expansion of 1/2 in m 8.817 * [backup-simplify]: Simplify 1/2 into 1/2 8.817 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.817 * [taylor]: Taking taylor expansion of (* m K) in m 8.817 * [taylor]: Taking taylor expansion of m in m 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 1 into 1 8.817 * [taylor]: Taking taylor expansion of K in m 8.817 * [backup-simplify]: Simplify K into K 8.817 * [backup-simplify]: Simplify (* 0 K) into 0 8.818 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.818 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.818 * [taylor]: Taking taylor expansion of 1/2 in m 8.818 * [backup-simplify]: Simplify 1/2 into 1/2 8.818 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.818 * [taylor]: Taking taylor expansion of (* K n) in m 8.818 * [taylor]: Taking taylor expansion of K in m 8.818 * [backup-simplify]: Simplify K into K 8.818 * [taylor]: Taking taylor expansion of n in m 8.818 * [backup-simplify]: Simplify n into n 8.818 * [backup-simplify]: Simplify (* K n) into (* K n) 8.818 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.818 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.818 * [taylor]: Taking taylor expansion of M in m 8.818 * [backup-simplify]: Simplify M into M 8.818 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.818 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.818 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.818 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.819 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.819 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.819 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.819 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.819 * [taylor]: Taking taylor expansion of 1/2 in n 8.819 * [backup-simplify]: Simplify 1/2 into 1/2 8.819 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.819 * [taylor]: Taking taylor expansion of (* m K) in n 8.819 * [taylor]: Taking taylor expansion of m in n 8.819 * [backup-simplify]: Simplify m into m 8.819 * [taylor]: Taking taylor expansion of K in n 8.819 * [backup-simplify]: Simplify K into K 8.819 * [backup-simplify]: Simplify (* m K) into (* m K) 8.819 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.819 * [taylor]: Taking taylor expansion of 1/2 in n 8.819 * [backup-simplify]: Simplify 1/2 into 1/2 8.819 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.819 * [taylor]: Taking taylor expansion of (* K n) in n 8.819 * [taylor]: Taking taylor expansion of K in n 8.819 * [backup-simplify]: Simplify K into K 8.819 * [taylor]: Taking taylor expansion of n in n 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (* K 0) into 0 8.820 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.820 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.820 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.820 * [taylor]: Taking taylor expansion of M in n 8.821 * [backup-simplify]: Simplify M into M 8.821 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.821 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.821 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.821 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.821 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.821 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.821 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.821 * [taylor]: Taking taylor expansion of 1/2 in K 8.821 * [backup-simplify]: Simplify 1/2 into 1/2 8.821 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.821 * [taylor]: Taking taylor expansion of (* m K) in K 8.821 * [taylor]: Taking taylor expansion of m in K 8.821 * [backup-simplify]: Simplify m into m 8.821 * [taylor]: Taking taylor expansion of K in K 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify 1 into 1 8.822 * [backup-simplify]: Simplify (* m 0) into 0 8.822 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.822 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.822 * [taylor]: Taking taylor expansion of 1/2 in K 8.822 * [backup-simplify]: Simplify 1/2 into 1/2 8.822 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.822 * [taylor]: Taking taylor expansion of (* K n) in K 8.822 * [taylor]: Taking taylor expansion of K in K 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify 1 into 1 8.822 * [taylor]: Taking taylor expansion of n in K 8.822 * [backup-simplify]: Simplify n into n 8.822 * [backup-simplify]: Simplify (* 0 n) into 0 8.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.823 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.823 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.823 * [taylor]: Taking taylor expansion of M in K 8.823 * [backup-simplify]: Simplify M into M 8.823 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.823 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.823 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.823 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.824 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.824 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.824 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.824 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.824 * [taylor]: Taking taylor expansion of 1/2 in M 8.824 * [backup-simplify]: Simplify 1/2 into 1/2 8.824 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.824 * [taylor]: Taking taylor expansion of (* m K) in M 8.824 * [taylor]: Taking taylor expansion of m in M 8.824 * [backup-simplify]: Simplify m into m 8.824 * [taylor]: Taking taylor expansion of K in M 8.824 * [backup-simplify]: Simplify K into K 8.824 * [backup-simplify]: Simplify (* m K) into (* m K) 8.824 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.824 * [taylor]: Taking taylor expansion of 1/2 in M 8.824 * [backup-simplify]: Simplify 1/2 into 1/2 8.824 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.824 * [taylor]: Taking taylor expansion of (* K n) in M 8.824 * [taylor]: Taking taylor expansion of K in M 8.824 * [backup-simplify]: Simplify K into K 8.824 * [taylor]: Taking taylor expansion of n in M 8.824 * [backup-simplify]: Simplify n into n 8.824 * [backup-simplify]: Simplify (* K n) into (* K n) 8.825 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.825 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.825 * [taylor]: Taking taylor expansion of M in M 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.825 * [backup-simplify]: Simplify (/ 1 1) into 1 8.826 * [backup-simplify]: Simplify (- 1) into -1 8.826 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.827 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.827 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.827 * [taylor]: Taking taylor expansion of 0 in n 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in K 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in M 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in K 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in M 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in M 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [taylor]: Taking taylor expansion of 0 in n 8.827 * [backup-simplify]: Simplify 0 into 0 8.828 * [taylor]: Taking taylor expansion of 0 in K 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [taylor]: Taking taylor expansion of 0 in M 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [taylor]: Taking taylor expansion of 0 in K 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [taylor]: Taking taylor expansion of 0 in M 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.829 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.829 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 8.829 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.829 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.829 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.829 * [taylor]: Taking taylor expansion of M in M 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (/ 1 1) into 1 8.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.829 * [taylor]: Taking taylor expansion of 1/2 in M 8.829 * [backup-simplify]: Simplify 1/2 into 1/2 8.829 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.829 * [taylor]: Taking taylor expansion of (* m K) in M 8.829 * [taylor]: Taking taylor expansion of m in M 8.830 * [backup-simplify]: Simplify m into m 8.830 * [taylor]: Taking taylor expansion of K in M 8.830 * [backup-simplify]: Simplify K into K 8.830 * [backup-simplify]: Simplify (* m K) into (* m K) 8.830 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.830 * [taylor]: Taking taylor expansion of 1/2 in M 8.830 * [backup-simplify]: Simplify 1/2 into 1/2 8.830 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.830 * [taylor]: Taking taylor expansion of (* K n) in M 8.830 * [taylor]: Taking taylor expansion of K in M 8.830 * [backup-simplify]: Simplify K into K 8.830 * [taylor]: Taking taylor expansion of n in M 8.830 * [backup-simplify]: Simplify n into n 8.830 * [backup-simplify]: Simplify (* K n) into (* K n) 8.830 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.831 * [backup-simplify]: Simplify (+ 1 0) into 1 8.831 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.831 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.831 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.831 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.831 * [taylor]: Taking taylor expansion of M in K 8.831 * [backup-simplify]: Simplify M into M 8.831 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.831 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.831 * [taylor]: Taking taylor expansion of 1/2 in K 8.831 * [backup-simplify]: Simplify 1/2 into 1/2 8.831 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.831 * [taylor]: Taking taylor expansion of (* m K) in K 8.831 * [taylor]: Taking taylor expansion of m in K 8.831 * [backup-simplify]: Simplify m into m 8.831 * [taylor]: Taking taylor expansion of K in K 8.831 * [backup-simplify]: Simplify 0 into 0 8.831 * [backup-simplify]: Simplify 1 into 1 8.832 * [backup-simplify]: Simplify (* m 0) into 0 8.832 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.832 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.832 * [taylor]: Taking taylor expansion of 1/2 in K 8.832 * [backup-simplify]: Simplify 1/2 into 1/2 8.832 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.832 * [taylor]: Taking taylor expansion of (* K n) in K 8.832 * [taylor]: Taking taylor expansion of K in K 8.832 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify 1 into 1 8.832 * [taylor]: Taking taylor expansion of n in K 8.832 * [backup-simplify]: Simplify n into n 8.832 * [backup-simplify]: Simplify (* 0 n) into 0 8.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.833 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.833 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.833 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.833 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.833 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.834 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.834 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.834 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.834 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.834 * [taylor]: Taking taylor expansion of M in n 8.834 * [backup-simplify]: Simplify M into M 8.834 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.834 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.834 * [taylor]: Taking taylor expansion of 1/2 in n 8.834 * [backup-simplify]: Simplify 1/2 into 1/2 8.834 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.834 * [taylor]: Taking taylor expansion of (* m K) in n 8.834 * [taylor]: Taking taylor expansion of m in n 8.834 * [backup-simplify]: Simplify m into m 8.834 * [taylor]: Taking taylor expansion of K in n 8.834 * [backup-simplify]: Simplify K into K 8.834 * [backup-simplify]: Simplify (* m K) into (* m K) 8.834 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.834 * [taylor]: Taking taylor expansion of 1/2 in n 8.834 * [backup-simplify]: Simplify 1/2 into 1/2 8.834 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.834 * [taylor]: Taking taylor expansion of (* K n) in n 8.834 * [taylor]: Taking taylor expansion of K in n 8.834 * [backup-simplify]: Simplify K into K 8.834 * [taylor]: Taking taylor expansion of n in n 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify 1 into 1 8.834 * [backup-simplify]: Simplify (* K 0) into 0 8.835 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.835 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.835 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.835 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.835 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.836 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.836 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.836 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.836 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.836 * [taylor]: Taking taylor expansion of M in m 8.836 * [backup-simplify]: Simplify M into M 8.836 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.836 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.836 * [taylor]: Taking taylor expansion of 1/2 in m 8.836 * [backup-simplify]: Simplify 1/2 into 1/2 8.836 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.836 * [taylor]: Taking taylor expansion of (* m K) in m 8.836 * [taylor]: Taking taylor expansion of m in m 8.836 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify 1 into 1 8.836 * [taylor]: Taking taylor expansion of K in m 8.836 * [backup-simplify]: Simplify K into K 8.836 * [backup-simplify]: Simplify (* 0 K) into 0 8.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.837 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.837 * [taylor]: Taking taylor expansion of 1/2 in m 8.837 * [backup-simplify]: Simplify 1/2 into 1/2 8.837 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.837 * [taylor]: Taking taylor expansion of (* K n) in m 8.837 * [taylor]: Taking taylor expansion of K in m 8.837 * [backup-simplify]: Simplify K into K 8.837 * [taylor]: Taking taylor expansion of n in m 8.837 * [backup-simplify]: Simplify n into n 8.837 * [backup-simplify]: Simplify (* K n) into (* K n) 8.837 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.837 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.837 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.837 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.838 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.838 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.838 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.838 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.838 * [taylor]: Taking taylor expansion of M in m 8.838 * [backup-simplify]: Simplify M into M 8.838 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.838 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.838 * [taylor]: Taking taylor expansion of 1/2 in m 8.838 * [backup-simplify]: Simplify 1/2 into 1/2 8.838 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.838 * [taylor]: Taking taylor expansion of (* m K) in m 8.838 * [taylor]: Taking taylor expansion of m in m 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.838 * [taylor]: Taking taylor expansion of K in m 8.838 * [backup-simplify]: Simplify K into K 8.838 * [backup-simplify]: Simplify (* 0 K) into 0 8.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.839 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.839 * [taylor]: Taking taylor expansion of 1/2 in m 8.839 * [backup-simplify]: Simplify 1/2 into 1/2 8.839 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.839 * [taylor]: Taking taylor expansion of (* K n) in m 8.839 * [taylor]: Taking taylor expansion of K in m 8.839 * [backup-simplify]: Simplify K into K 8.839 * [taylor]: Taking taylor expansion of n in m 8.839 * [backup-simplify]: Simplify n into n 8.839 * [backup-simplify]: Simplify (* K n) into (* K n) 8.839 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.839 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.839 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.840 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.840 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.840 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.840 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.840 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.840 * [taylor]: Taking taylor expansion of M in n 8.840 * [backup-simplify]: Simplify M into M 8.840 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.840 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.840 * [taylor]: Taking taylor expansion of 1/2 in n 8.840 * [backup-simplify]: Simplify 1/2 into 1/2 8.840 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.840 * [taylor]: Taking taylor expansion of (* m K) in n 8.840 * [taylor]: Taking taylor expansion of m in n 8.840 * [backup-simplify]: Simplify m into m 8.840 * [taylor]: Taking taylor expansion of K in n 8.840 * [backup-simplify]: Simplify K into K 8.840 * [backup-simplify]: Simplify (* m K) into (* m K) 8.841 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.841 * [taylor]: Taking taylor expansion of 1/2 in n 8.841 * [backup-simplify]: Simplify 1/2 into 1/2 8.841 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.841 * [taylor]: Taking taylor expansion of (* K n) in n 8.841 * [taylor]: Taking taylor expansion of K in n 8.841 * [backup-simplify]: Simplify K into K 8.841 * [taylor]: Taking taylor expansion of n in n 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [backup-simplify]: Simplify (* K 0) into 0 8.841 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.841 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.841 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.842 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.842 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.842 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.842 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.842 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.842 * [taylor]: Taking taylor expansion of M in K 8.842 * [backup-simplify]: Simplify M into M 8.842 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.842 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.842 * [taylor]: Taking taylor expansion of 1/2 in K 8.842 * [backup-simplify]: Simplify 1/2 into 1/2 8.842 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.842 * [taylor]: Taking taylor expansion of (* m K) in K 8.842 * [taylor]: Taking taylor expansion of m in K 8.842 * [backup-simplify]: Simplify m into m 8.842 * [taylor]: Taking taylor expansion of K in K 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [backup-simplify]: Simplify (* m 0) into 0 8.843 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.843 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.843 * [taylor]: Taking taylor expansion of 1/2 in K 8.843 * [backup-simplify]: Simplify 1/2 into 1/2 8.843 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.843 * [taylor]: Taking taylor expansion of (* K n) in K 8.843 * [taylor]: Taking taylor expansion of K in K 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [taylor]: Taking taylor expansion of n in K 8.843 * [backup-simplify]: Simplify n into n 8.843 * [backup-simplify]: Simplify (* 0 n) into 0 8.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.844 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.844 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.844 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.844 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.844 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.844 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.844 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.845 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.845 * [taylor]: Taking taylor expansion of M in M 8.845 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify 1 into 1 8.845 * [backup-simplify]: Simplify (/ 1 1) into 1 8.845 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.845 * [taylor]: Taking taylor expansion of 1/2 in M 8.845 * [backup-simplify]: Simplify 1/2 into 1/2 8.845 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.845 * [taylor]: Taking taylor expansion of (* m K) in M 8.845 * [taylor]: Taking taylor expansion of m in M 8.845 * [backup-simplify]: Simplify m into m 8.845 * [taylor]: Taking taylor expansion of K in M 8.845 * [backup-simplify]: Simplify K into K 8.845 * [backup-simplify]: Simplify (* m K) into (* m K) 8.845 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.845 * [taylor]: Taking taylor expansion of 1/2 in M 8.845 * [backup-simplify]: Simplify 1/2 into 1/2 8.845 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.845 * [taylor]: Taking taylor expansion of (* K n) in M 8.845 * [taylor]: Taking taylor expansion of K in M 8.846 * [backup-simplify]: Simplify K into K 8.846 * [taylor]: Taking taylor expansion of n in M 8.846 * [backup-simplify]: Simplify n into n 8.846 * [backup-simplify]: Simplify (* K n) into (* K n) 8.846 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.846 * [backup-simplify]: Simplify (+ 1 0) into 1 8.846 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.847 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.847 * [taylor]: Taking taylor expansion of 0 in n 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in K 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in M 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in K 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in M 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in M 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in n 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in K 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [taylor]: Taking taylor expansion of 0 in M 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 0 into 0 8.848 * [taylor]: Taking taylor expansion of 0 in K 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [taylor]: Taking taylor expansion of 0 in M 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.848 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 8.848 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.848 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 8.848 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.849 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.849 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.849 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.849 * [taylor]: Taking taylor expansion of 1/2 in M 8.849 * [backup-simplify]: Simplify 1/2 into 1/2 8.849 * [taylor]: Taking taylor expansion of (* K n) in M 8.849 * [taylor]: Taking taylor expansion of K in M 8.849 * [backup-simplify]: Simplify K into K 8.849 * [taylor]: Taking taylor expansion of n in M 8.849 * [backup-simplify]: Simplify n into n 8.849 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.849 * [taylor]: Taking taylor expansion of 1/2 in M 8.849 * [backup-simplify]: Simplify 1/2 into 1/2 8.849 * [taylor]: Taking taylor expansion of (* K m) in M 8.849 * [taylor]: Taking taylor expansion of K in M 8.849 * [backup-simplify]: Simplify K into K 8.849 * [taylor]: Taking taylor expansion of m in M 8.849 * [backup-simplify]: Simplify m into m 8.849 * [taylor]: Taking taylor expansion of M in M 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 1 into 1 8.849 * [backup-simplify]: Simplify (* K n) into (* K n) 8.849 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.849 * [backup-simplify]: Simplify (* K m) into (* K m) 8.849 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.849 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.850 * [backup-simplify]: Simplify (- 0) into 0 8.850 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.850 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.850 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.851 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.851 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.851 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.851 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.851 * [taylor]: Taking taylor expansion of 1/2 in K 8.851 * [backup-simplify]: Simplify 1/2 into 1/2 8.851 * [taylor]: Taking taylor expansion of (* K n) in K 8.851 * [taylor]: Taking taylor expansion of K in K 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.851 * [taylor]: Taking taylor expansion of n in K 8.851 * [backup-simplify]: Simplify n into n 8.851 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.851 * [taylor]: Taking taylor expansion of 1/2 in K 8.851 * [backup-simplify]: Simplify 1/2 into 1/2 8.851 * [taylor]: Taking taylor expansion of (* K m) in K 8.851 * [taylor]: Taking taylor expansion of K in K 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.851 * [taylor]: Taking taylor expansion of m in K 8.851 * [backup-simplify]: Simplify m into m 8.851 * [taylor]: Taking taylor expansion of M in K 8.851 * [backup-simplify]: Simplify M into M 8.851 * [backup-simplify]: Simplify (* 0 n) into 0 8.852 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.852 * [backup-simplify]: Simplify (* 0 m) into 0 8.852 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.852 * [backup-simplify]: Simplify (+ 0 0) into 0 8.852 * [backup-simplify]: Simplify (- M) into (- M) 8.852 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.852 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.852 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.852 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.852 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.852 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.852 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.852 * [taylor]: Taking taylor expansion of 1/2 in n 8.852 * [backup-simplify]: Simplify 1/2 into 1/2 8.852 * [taylor]: Taking taylor expansion of (* K n) in n 8.852 * [taylor]: Taking taylor expansion of K in n 8.853 * [backup-simplify]: Simplify K into K 8.853 * [taylor]: Taking taylor expansion of n in n 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.853 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.853 * [taylor]: Taking taylor expansion of 1/2 in n 8.853 * [backup-simplify]: Simplify 1/2 into 1/2 8.853 * [taylor]: Taking taylor expansion of (* K m) in n 8.853 * [taylor]: Taking taylor expansion of K in n 8.853 * [backup-simplify]: Simplify K into K 8.853 * [taylor]: Taking taylor expansion of m in n 8.853 * [backup-simplify]: Simplify m into m 8.853 * [taylor]: Taking taylor expansion of M in n 8.853 * [backup-simplify]: Simplify M into M 8.853 * [backup-simplify]: Simplify (* K 0) into 0 8.853 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.853 * [backup-simplify]: Simplify (* K m) into (* K m) 8.853 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.853 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.853 * [backup-simplify]: Simplify (- M) into (- M) 8.853 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.853 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.853 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.853 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.853 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.853 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.853 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.853 * [taylor]: Taking taylor expansion of 1/2 in m 8.854 * [backup-simplify]: Simplify 1/2 into 1/2 8.854 * [taylor]: Taking taylor expansion of (* K n) in m 8.854 * [taylor]: Taking taylor expansion of K in m 8.854 * [backup-simplify]: Simplify K into K 8.854 * [taylor]: Taking taylor expansion of n in m 8.854 * [backup-simplify]: Simplify n into n 8.854 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.854 * [taylor]: Taking taylor expansion of 1/2 in m 8.854 * [backup-simplify]: Simplify 1/2 into 1/2 8.854 * [taylor]: Taking taylor expansion of (* K m) in m 8.854 * [taylor]: Taking taylor expansion of K in m 8.854 * [backup-simplify]: Simplify K into K 8.854 * [taylor]: Taking taylor expansion of m in m 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [taylor]: Taking taylor expansion of M in m 8.854 * [backup-simplify]: Simplify M into M 8.854 * [backup-simplify]: Simplify (* K n) into (* K n) 8.854 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.854 * [backup-simplify]: Simplify (* K 0) into 0 8.854 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.854 * [backup-simplify]: Simplify (- M) into (- M) 8.854 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.854 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.854 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.854 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.854 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.854 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.855 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.855 * [taylor]: Taking taylor expansion of 1/2 in m 8.855 * [backup-simplify]: Simplify 1/2 into 1/2 8.855 * [taylor]: Taking taylor expansion of (* K n) in m 8.855 * [taylor]: Taking taylor expansion of K in m 8.855 * [backup-simplify]: Simplify K into K 8.855 * [taylor]: Taking taylor expansion of n in m 8.855 * [backup-simplify]: Simplify n into n 8.855 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.855 * [taylor]: Taking taylor expansion of 1/2 in m 8.855 * [backup-simplify]: Simplify 1/2 into 1/2 8.855 * [taylor]: Taking taylor expansion of (* K m) in m 8.855 * [taylor]: Taking taylor expansion of K in m 8.855 * [backup-simplify]: Simplify K into K 8.855 * [taylor]: Taking taylor expansion of m in m 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [taylor]: Taking taylor expansion of M in m 8.855 * [backup-simplify]: Simplify M into M 8.855 * [backup-simplify]: Simplify (* K n) into (* K n) 8.855 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.855 * [backup-simplify]: Simplify (* K 0) into 0 8.855 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.855 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.855 * [backup-simplify]: Simplify (- M) into (- M) 8.855 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.855 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.856 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.856 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 8.856 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 8.856 * [backup-simplify]: Simplify (- 0) into 0 8.856 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 8.856 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 8.856 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.856 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.856 * [taylor]: Taking taylor expansion of 1/2 in n 8.856 * [backup-simplify]: Simplify 1/2 into 1/2 8.856 * [taylor]: Taking taylor expansion of (* K n) in n 8.856 * [taylor]: Taking taylor expansion of K in n 8.856 * [backup-simplify]: Simplify K into K 8.856 * [taylor]: Taking taylor expansion of n in n 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [taylor]: Taking taylor expansion of M in n 8.856 * [backup-simplify]: Simplify M into M 8.856 * [backup-simplify]: Simplify (* K 0) into 0 8.857 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.857 * [backup-simplify]: Simplify (- M) into (- M) 8.857 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.857 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.857 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.857 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.857 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.857 * [backup-simplify]: Simplify (- 0) into 0 8.857 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.857 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.857 * [taylor]: Taking taylor expansion of (- M) in K 8.857 * [taylor]: Taking taylor expansion of M in K 8.857 * [backup-simplify]: Simplify M into M 8.857 * [backup-simplify]: Simplify (- M) into (- M) 8.857 * [backup-simplify]: Simplify (- M) into (- M) 8.857 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.857 * [backup-simplify]: Simplify (- M) into (- M) 8.857 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.857 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.858 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.858 * [backup-simplify]: Simplify (- 0) into 0 8.858 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.858 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.858 * [taylor]: Taking taylor expansion of (- M) in M 8.858 * [taylor]: Taking taylor expansion of M in M 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (- 0) into 0 8.858 * [backup-simplify]: Simplify (- 1) into -1 8.858 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (+ 0) into 0 8.859 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 8.859 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 8.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 8.860 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.860 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.860 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 8.860 * [backup-simplify]: Simplify (- 0) into 0 8.860 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.861 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 8.861 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 8.861 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 8.861 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 8.861 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 8.861 * [taylor]: Taking taylor expansion of 1/2 in n 8.861 * [backup-simplify]: Simplify 1/2 into 1/2 8.861 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 8.861 * [taylor]: Taking taylor expansion of K in n 8.861 * [backup-simplify]: Simplify K into K 8.861 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 8.861 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.861 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.861 * [taylor]: Taking taylor expansion of 1/2 in n 8.861 * [backup-simplify]: Simplify 1/2 into 1/2 8.861 * [taylor]: Taking taylor expansion of (* K n) in n 8.861 * [taylor]: Taking taylor expansion of K in n 8.861 * [backup-simplify]: Simplify K into K 8.861 * [taylor]: Taking taylor expansion of n in n 8.861 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify 1 into 1 8.861 * [taylor]: Taking taylor expansion of M in n 8.861 * [backup-simplify]: Simplify M into M 8.861 * [backup-simplify]: Simplify (* K 0) into 0 8.862 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.862 * [backup-simplify]: Simplify (- M) into (- M) 8.862 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.862 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.862 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.862 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.862 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.862 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.862 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 8.862 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 8.862 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 8.862 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 8.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 8.862 * [taylor]: Taking taylor expansion of 1/2 in K 8.862 * [backup-simplify]: Simplify 1/2 into 1/2 8.862 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 8.862 * [taylor]: Taking taylor expansion of K in K 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [taylor]: Taking taylor expansion of (sin (- M)) in K 8.862 * [taylor]: Taking taylor expansion of (- M) in K 8.862 * [taylor]: Taking taylor expansion of M in K 8.862 * [backup-simplify]: Simplify M into M 8.862 * [backup-simplify]: Simplify (- M) into (- M) 8.862 * [backup-simplify]: Simplify (- M) into (- M) 8.862 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.862 * [backup-simplify]: Simplify (- M) into (- M) 8.862 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.862 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.863 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.863 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.863 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.863 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.863 * [backup-simplify]: Simplify (- 0) into 0 8.863 * [taylor]: Taking taylor expansion of 0 in M 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify (+ 0) into 0 8.864 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.864 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.864 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.864 * [backup-simplify]: Simplify (- 0) into 0 8.865 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.865 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 8.865 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 8.865 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 8.865 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 8.865 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 8.865 * [taylor]: Taking taylor expansion of 1/2 in K 8.865 * [backup-simplify]: Simplify 1/2 into 1/2 8.865 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 8.865 * [taylor]: Taking taylor expansion of K in K 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify 1 into 1 8.865 * [taylor]: Taking taylor expansion of (sin (- M)) in K 8.865 * [taylor]: Taking taylor expansion of (- M) in K 8.865 * [taylor]: Taking taylor expansion of M in K 8.865 * [backup-simplify]: Simplify M into M 8.865 * [backup-simplify]: Simplify (- M) into (- M) 8.865 * [backup-simplify]: Simplify (- M) into (- M) 8.865 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.865 * [backup-simplify]: Simplify (- M) into (- M) 8.865 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.866 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.866 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.866 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.866 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.866 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.866 * [backup-simplify]: Simplify (- 0) into 0 8.866 * [taylor]: Taking taylor expansion of 0 in M 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify (+ 0) into 0 8.867 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.867 * [backup-simplify]: Simplify (- 0) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.868 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.868 * [backup-simplify]: Simplify (- 0) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.868 * [taylor]: Taking taylor expansion of 0 in M 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (+ 0) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 8.869 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 8.870 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 8.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 8.870 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 8.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 8.871 * [backup-simplify]: Simplify (+ 0 0) into 0 8.871 * [backup-simplify]: Simplify (- 0) into 0 8.872 * [backup-simplify]: Simplify (+ 0 0) into 0 8.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.872 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 8.873 * [backup-simplify]: Simplify (- 0) into 0 8.873 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 8.873 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 8.873 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 8.873 * [taylor]: Taking taylor expansion of 1/8 in n 8.873 * [backup-simplify]: Simplify 1/8 into 1/8 8.873 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 8.873 * [taylor]: Taking taylor expansion of (pow K 2) in n 8.873 * [taylor]: Taking taylor expansion of K in n 8.873 * [backup-simplify]: Simplify K into K 8.873 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 8.873 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.873 * [taylor]: Taking taylor expansion of 1/2 in n 8.873 * [backup-simplify]: Simplify 1/2 into 1/2 8.873 * [taylor]: Taking taylor expansion of (* K n) in n 8.873 * [taylor]: Taking taylor expansion of K in n 8.873 * [backup-simplify]: Simplify K into K 8.873 * [taylor]: Taking taylor expansion of n in n 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of M in n 8.873 * [backup-simplify]: Simplify M into M 8.873 * [backup-simplify]: Simplify (* K 0) into 0 8.874 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.874 * [backup-simplify]: Simplify (- M) into (- M) 8.874 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.874 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.874 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.874 * [backup-simplify]: Simplify (* K K) into (pow K 2) 8.874 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.874 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.874 * [backup-simplify]: Simplify (- 0) into 0 8.874 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.874 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 8.874 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 8.874 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.874 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 8.874 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 8.874 * [taylor]: Taking taylor expansion of 1/8 in K 8.875 * [backup-simplify]: Simplify 1/8 into 1/8 8.875 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.875 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.875 * [taylor]: Taking taylor expansion of K in K 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify 1 into 1 8.875 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.875 * [taylor]: Taking taylor expansion of (- M) in K 8.875 * [taylor]: Taking taylor expansion of M in K 8.875 * [backup-simplify]: Simplify M into M 8.875 * [backup-simplify]: Simplify (- M) into (- M) 8.875 * [backup-simplify]: Simplify (- M) into (- M) 8.875 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.875 * [backup-simplify]: Simplify (- M) into (- M) 8.875 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.875 * [backup-simplify]: Simplify (+ 0) into 0 8.875 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.876 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.876 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.876 * [backup-simplify]: Simplify (- 0) into 0 8.876 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.877 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 8.877 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 8.877 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 8.877 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 8.877 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 8.877 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 8.877 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 8.877 * [taylor]: Taking taylor expansion of 1/4 in K 8.877 * [backup-simplify]: Simplify 1/4 into 1/4 8.877 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.877 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.877 * [taylor]: Taking taylor expansion of K in K 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.877 * [taylor]: Taking taylor expansion of (- M) in K 8.878 * [taylor]: Taking taylor expansion of M in K 8.878 * [backup-simplify]: Simplify M into M 8.878 * [backup-simplify]: Simplify (- M) into (- M) 8.878 * [backup-simplify]: Simplify (- M) into (- M) 8.878 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.878 * [backup-simplify]: Simplify (- M) into (- M) 8.878 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 8.878 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.879 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 8.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 8.879 * [backup-simplify]: Simplify (- 0) into 0 8.880 * [backup-simplify]: Simplify (+ 0 0) into 0 8.880 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.880 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 8.881 * [backup-simplify]: Simplify (- 0) into 0 8.881 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.881 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 8.881 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 8.881 * [taylor]: Taking taylor expansion of 1/8 in K 8.881 * [backup-simplify]: Simplify 1/8 into 1/8 8.881 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.881 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.881 * [taylor]: Taking taylor expansion of K in K 8.881 * [backup-simplify]: Simplify 0 into 0 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.881 * [taylor]: Taking taylor expansion of (- M) in K 8.881 * [taylor]: Taking taylor expansion of M in K 8.881 * [backup-simplify]: Simplify M into M 8.881 * [backup-simplify]: Simplify (- M) into (- M) 8.881 * [backup-simplify]: Simplify (- M) into (- M) 8.881 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.881 * [backup-simplify]: Simplify (- M) into (- M) 8.881 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.882 * [backup-simplify]: Simplify (+ 0) into 0 8.882 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.882 * [backup-simplify]: Simplify (- 0) into 0 8.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.883 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.883 * [backup-simplify]: Simplify (+ 0 0) into 0 8.883 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.884 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.884 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.884 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.884 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.884 * [taylor]: Taking taylor expansion of 1/2 in M 8.884 * [backup-simplify]: Simplify 1/2 into 1/2 8.884 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.884 * [taylor]: Taking taylor expansion of (- M) in M 8.884 * [taylor]: Taking taylor expansion of M in M 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (- 0) into 0 8.884 * [backup-simplify]: Simplify (- 1) into -1 8.885 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.885 * [backup-simplify]: Simplify (- 0) into 0 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify (+ 0) into 0 8.886 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.886 * [backup-simplify]: Simplify (- 0) into 0 8.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.888 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.889 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.889 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.889 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.889 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.889 * [taylor]: Taking taylor expansion of 1/2 in M 8.889 * [backup-simplify]: Simplify 1/2 into 1/2 8.889 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.889 * [taylor]: Taking taylor expansion of (- M) in M 8.889 * [taylor]: Taking taylor expansion of M in M 8.889 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [backup-simplify]: Simplify (- 0) into 0 8.890 * [backup-simplify]: Simplify (- 1) into -1 8.890 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.890 * [backup-simplify]: Simplify (- 0) into 0 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.891 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 8.891 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.891 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.891 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.891 * [taylor]: Taking taylor expansion of 1/2 in M 8.891 * [backup-simplify]: Simplify 1/2 into 1/2 8.891 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.891 * [taylor]: Taking taylor expansion of (* m K) in M 8.891 * [taylor]: Taking taylor expansion of m in M 8.891 * [backup-simplify]: Simplify m into m 8.891 * [taylor]: Taking taylor expansion of K in M 8.891 * [backup-simplify]: Simplify K into K 8.891 * [backup-simplify]: Simplify (* m K) into (* m K) 8.891 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.891 * [taylor]: Taking taylor expansion of 1/2 in M 8.891 * [backup-simplify]: Simplify 1/2 into 1/2 8.891 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.891 * [taylor]: Taking taylor expansion of (* K n) in M 8.891 * [taylor]: Taking taylor expansion of K in M 8.891 * [backup-simplify]: Simplify K into K 8.891 * [taylor]: Taking taylor expansion of n in M 8.891 * [backup-simplify]: Simplify n into n 8.891 * [backup-simplify]: Simplify (* K n) into (* K n) 8.891 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.891 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.891 * [taylor]: Taking taylor expansion of M in M 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.892 * [backup-simplify]: Simplify (/ 1 1) into 1 8.892 * [backup-simplify]: Simplify (- 1) into -1 8.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.892 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.892 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.892 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.892 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.892 * [taylor]: Taking taylor expansion of 1/2 in K 8.892 * [backup-simplify]: Simplify 1/2 into 1/2 8.892 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.892 * [taylor]: Taking taylor expansion of (* m K) in K 8.892 * [taylor]: Taking taylor expansion of m in K 8.892 * [backup-simplify]: Simplify m into m 8.892 * [taylor]: Taking taylor expansion of K in K 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [backup-simplify]: Simplify (* m 0) into 0 8.893 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.893 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.893 * [taylor]: Taking taylor expansion of 1/2 in K 8.893 * [backup-simplify]: Simplify 1/2 into 1/2 8.893 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.893 * [taylor]: Taking taylor expansion of (* K n) in K 8.893 * [taylor]: Taking taylor expansion of K in K 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify 1 into 1 8.893 * [taylor]: Taking taylor expansion of n in K 8.893 * [backup-simplify]: Simplify n into n 8.893 * [backup-simplify]: Simplify (* 0 n) into 0 8.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.893 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.893 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.893 * [taylor]: Taking taylor expansion of M in K 8.893 * [backup-simplify]: Simplify M into M 8.893 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.893 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.894 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.894 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.894 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.894 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.894 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.894 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.894 * [taylor]: Taking taylor expansion of 1/2 in n 8.894 * [backup-simplify]: Simplify 1/2 into 1/2 8.894 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.894 * [taylor]: Taking taylor expansion of (* m K) in n 8.894 * [taylor]: Taking taylor expansion of m in n 8.894 * [backup-simplify]: Simplify m into m 8.894 * [taylor]: Taking taylor expansion of K in n 8.894 * [backup-simplify]: Simplify K into K 8.894 * [backup-simplify]: Simplify (* m K) into (* m K) 8.894 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.894 * [taylor]: Taking taylor expansion of 1/2 in n 8.894 * [backup-simplify]: Simplify 1/2 into 1/2 8.894 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.894 * [taylor]: Taking taylor expansion of (* K n) in n 8.894 * [taylor]: Taking taylor expansion of K in n 8.894 * [backup-simplify]: Simplify K into K 8.894 * [taylor]: Taking taylor expansion of n in n 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (* K 0) into 0 8.895 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.895 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.895 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.895 * [taylor]: Taking taylor expansion of M in n 8.895 * [backup-simplify]: Simplify M into M 8.895 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.895 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.895 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.895 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.895 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.895 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.895 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.895 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.895 * [taylor]: Taking taylor expansion of 1/2 in m 8.895 * [backup-simplify]: Simplify 1/2 into 1/2 8.895 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.895 * [taylor]: Taking taylor expansion of (* m K) in m 8.895 * [taylor]: Taking taylor expansion of m in m 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of K in m 8.895 * [backup-simplify]: Simplify K into K 8.895 * [backup-simplify]: Simplify (* 0 K) into 0 8.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.896 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.896 * [taylor]: Taking taylor expansion of 1/2 in m 8.896 * [backup-simplify]: Simplify 1/2 into 1/2 8.896 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.896 * [taylor]: Taking taylor expansion of (* K n) in m 8.896 * [taylor]: Taking taylor expansion of K in m 8.896 * [backup-simplify]: Simplify K into K 8.896 * [taylor]: Taking taylor expansion of n in m 8.896 * [backup-simplify]: Simplify n into n 8.896 * [backup-simplify]: Simplify (* K n) into (* K n) 8.896 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.896 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.896 * [taylor]: Taking taylor expansion of M in m 8.896 * [backup-simplify]: Simplify M into M 8.896 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.896 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.896 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.896 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.896 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.896 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.896 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.896 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.896 * [taylor]: Taking taylor expansion of 1/2 in m 8.896 * [backup-simplify]: Simplify 1/2 into 1/2 8.896 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.896 * [taylor]: Taking taylor expansion of (* m K) in m 8.896 * [taylor]: Taking taylor expansion of m in m 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify 1 into 1 8.896 * [taylor]: Taking taylor expansion of K in m 8.896 * [backup-simplify]: Simplify K into K 8.896 * [backup-simplify]: Simplify (* 0 K) into 0 8.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.897 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.897 * [taylor]: Taking taylor expansion of 1/2 in m 8.897 * [backup-simplify]: Simplify 1/2 into 1/2 8.897 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.897 * [taylor]: Taking taylor expansion of (* K n) in m 8.897 * [taylor]: Taking taylor expansion of K in m 8.897 * [backup-simplify]: Simplify K into K 8.897 * [taylor]: Taking taylor expansion of n in m 8.897 * [backup-simplify]: Simplify n into n 8.897 * [backup-simplify]: Simplify (* K n) into (* K n) 8.897 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.897 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.897 * [taylor]: Taking taylor expansion of M in m 8.897 * [backup-simplify]: Simplify M into M 8.897 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.897 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.897 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.897 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.897 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.897 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.897 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.897 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.897 * [taylor]: Taking taylor expansion of 1/2 in n 8.897 * [backup-simplify]: Simplify 1/2 into 1/2 8.897 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.897 * [taylor]: Taking taylor expansion of (* m K) in n 8.898 * [taylor]: Taking taylor expansion of m in n 8.898 * [backup-simplify]: Simplify m into m 8.898 * [taylor]: Taking taylor expansion of K in n 8.898 * [backup-simplify]: Simplify K into K 8.898 * [backup-simplify]: Simplify (* m K) into (* m K) 8.898 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.898 * [taylor]: Taking taylor expansion of 1/2 in n 8.898 * [backup-simplify]: Simplify 1/2 into 1/2 8.898 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.898 * [taylor]: Taking taylor expansion of (* K n) in n 8.898 * [taylor]: Taking taylor expansion of K in n 8.898 * [backup-simplify]: Simplify K into K 8.898 * [taylor]: Taking taylor expansion of n in n 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [backup-simplify]: Simplify (* K 0) into 0 8.898 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.898 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.898 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.898 * [taylor]: Taking taylor expansion of M in n 8.898 * [backup-simplify]: Simplify M into M 8.898 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.898 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.898 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.898 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.899 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.899 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.899 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.899 * [taylor]: Taking taylor expansion of 1/2 in K 8.899 * [backup-simplify]: Simplify 1/2 into 1/2 8.899 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.899 * [taylor]: Taking taylor expansion of (* m K) in K 8.899 * [taylor]: Taking taylor expansion of m in K 8.899 * [backup-simplify]: Simplify m into m 8.899 * [taylor]: Taking taylor expansion of K in K 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [backup-simplify]: Simplify (* m 0) into 0 8.899 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.899 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.899 * [taylor]: Taking taylor expansion of 1/2 in K 8.899 * [backup-simplify]: Simplify 1/2 into 1/2 8.899 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.899 * [taylor]: Taking taylor expansion of (* K n) in K 8.899 * [taylor]: Taking taylor expansion of K in K 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.899 * [taylor]: Taking taylor expansion of n in K 8.899 * [backup-simplify]: Simplify n into n 8.899 * [backup-simplify]: Simplify (* 0 n) into 0 8.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.900 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.900 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.900 * [taylor]: Taking taylor expansion of M in K 8.900 * [backup-simplify]: Simplify M into M 8.900 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.900 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.900 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.900 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.900 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.900 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.900 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.900 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.900 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.900 * [taylor]: Taking taylor expansion of 1/2 in M 8.900 * [backup-simplify]: Simplify 1/2 into 1/2 8.900 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.900 * [taylor]: Taking taylor expansion of (* m K) in M 8.900 * [taylor]: Taking taylor expansion of m in M 8.900 * [backup-simplify]: Simplify m into m 8.900 * [taylor]: Taking taylor expansion of K in M 8.900 * [backup-simplify]: Simplify K into K 8.900 * [backup-simplify]: Simplify (* m K) into (* m K) 8.900 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.900 * [taylor]: Taking taylor expansion of 1/2 in M 8.900 * [backup-simplify]: Simplify 1/2 into 1/2 8.900 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.900 * [taylor]: Taking taylor expansion of (* K n) in M 8.900 * [taylor]: Taking taylor expansion of K in M 8.900 * [backup-simplify]: Simplify K into K 8.900 * [taylor]: Taking taylor expansion of n in M 8.900 * [backup-simplify]: Simplify n into n 8.901 * [backup-simplify]: Simplify (* K n) into (* K n) 8.901 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.901 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.901 * [taylor]: Taking taylor expansion of M in M 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 1 into 1 8.901 * [backup-simplify]: Simplify (/ 1 1) into 1 8.901 * [backup-simplify]: Simplify (- 1) into -1 8.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.902 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.902 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.902 * [taylor]: Taking taylor expansion of 0 in n 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in K 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in M 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in K 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in M 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in M 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in n 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in K 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in M 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in K 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [taylor]: Taking taylor expansion of 0 in M 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.903 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.903 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 8.903 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.903 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.903 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.903 * [taylor]: Taking taylor expansion of M in M 8.903 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify 1 into 1 8.903 * [backup-simplify]: Simplify (/ 1 1) into 1 8.903 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.903 * [taylor]: Taking taylor expansion of 1/2 in M 8.903 * [backup-simplify]: Simplify 1/2 into 1/2 8.903 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.903 * [taylor]: Taking taylor expansion of (* m K) in M 8.903 * [taylor]: Taking taylor expansion of m in M 8.903 * [backup-simplify]: Simplify m into m 8.903 * [taylor]: Taking taylor expansion of K in M 8.903 * [backup-simplify]: Simplify K into K 8.903 * [backup-simplify]: Simplify (* m K) into (* m K) 8.903 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.903 * [taylor]: Taking taylor expansion of 1/2 in M 8.903 * [backup-simplify]: Simplify 1/2 into 1/2 8.903 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.903 * [taylor]: Taking taylor expansion of (* K n) in M 8.903 * [taylor]: Taking taylor expansion of K in M 8.903 * [backup-simplify]: Simplify K into K 8.904 * [taylor]: Taking taylor expansion of n in M 8.904 * [backup-simplify]: Simplify n into n 8.904 * [backup-simplify]: Simplify (* K n) into (* K n) 8.904 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.904 * [backup-simplify]: Simplify (+ 1 0) into 1 8.904 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.904 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.904 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.904 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.904 * [taylor]: Taking taylor expansion of M in K 8.904 * [backup-simplify]: Simplify M into M 8.904 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.904 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.904 * [taylor]: Taking taylor expansion of 1/2 in K 8.904 * [backup-simplify]: Simplify 1/2 into 1/2 8.904 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.904 * [taylor]: Taking taylor expansion of (* m K) in K 8.904 * [taylor]: Taking taylor expansion of m in K 8.904 * [backup-simplify]: Simplify m into m 8.904 * [taylor]: Taking taylor expansion of K in K 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (* m 0) into 0 8.905 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.905 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.905 * [taylor]: Taking taylor expansion of 1/2 in K 8.905 * [backup-simplify]: Simplify 1/2 into 1/2 8.905 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.905 * [taylor]: Taking taylor expansion of (* K n) in K 8.905 * [taylor]: Taking taylor expansion of K in K 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.905 * [taylor]: Taking taylor expansion of n in K 8.905 * [backup-simplify]: Simplify n into n 8.905 * [backup-simplify]: Simplify (* 0 n) into 0 8.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.905 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.905 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.905 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.905 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.906 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.906 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.906 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.906 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.906 * [taylor]: Taking taylor expansion of M in n 8.906 * [backup-simplify]: Simplify M into M 8.906 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.906 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.906 * [taylor]: Taking taylor expansion of 1/2 in n 8.906 * [backup-simplify]: Simplify 1/2 into 1/2 8.906 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.906 * [taylor]: Taking taylor expansion of (* m K) in n 8.906 * [taylor]: Taking taylor expansion of m in n 8.906 * [backup-simplify]: Simplify m into m 8.906 * [taylor]: Taking taylor expansion of K in n 8.906 * [backup-simplify]: Simplify K into K 8.906 * [backup-simplify]: Simplify (* m K) into (* m K) 8.906 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.906 * [taylor]: Taking taylor expansion of 1/2 in n 8.906 * [backup-simplify]: Simplify 1/2 into 1/2 8.906 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.906 * [taylor]: Taking taylor expansion of (* K n) in n 8.906 * [taylor]: Taking taylor expansion of K in n 8.906 * [backup-simplify]: Simplify K into K 8.906 * [taylor]: Taking taylor expansion of n in n 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (* K 0) into 0 8.906 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.906 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.907 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.907 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.907 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.907 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.907 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.907 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.907 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.907 * [taylor]: Taking taylor expansion of M in m 8.907 * [backup-simplify]: Simplify M into M 8.907 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.907 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.907 * [taylor]: Taking taylor expansion of 1/2 in m 8.907 * [backup-simplify]: Simplify 1/2 into 1/2 8.907 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.907 * [taylor]: Taking taylor expansion of (* m K) in m 8.907 * [taylor]: Taking taylor expansion of m in m 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify 1 into 1 8.907 * [taylor]: Taking taylor expansion of K in m 8.907 * [backup-simplify]: Simplify K into K 8.907 * [backup-simplify]: Simplify (* 0 K) into 0 8.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.907 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.907 * [taylor]: Taking taylor expansion of 1/2 in m 8.908 * [backup-simplify]: Simplify 1/2 into 1/2 8.908 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.908 * [taylor]: Taking taylor expansion of (* K n) in m 8.908 * [taylor]: Taking taylor expansion of K in m 8.908 * [backup-simplify]: Simplify K into K 8.908 * [taylor]: Taking taylor expansion of n in m 8.908 * [backup-simplify]: Simplify n into n 8.908 * [backup-simplify]: Simplify (* K n) into (* K n) 8.908 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.908 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.908 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.908 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.908 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.908 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.908 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.908 * [taylor]: Taking taylor expansion of M in m 8.908 * [backup-simplify]: Simplify M into M 8.908 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.908 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.908 * [taylor]: Taking taylor expansion of 1/2 in m 8.908 * [backup-simplify]: Simplify 1/2 into 1/2 8.908 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.908 * [taylor]: Taking taylor expansion of (* m K) in m 8.908 * [taylor]: Taking taylor expansion of m in m 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify 1 into 1 8.908 * [taylor]: Taking taylor expansion of K in m 8.908 * [backup-simplify]: Simplify K into K 8.908 * [backup-simplify]: Simplify (* 0 K) into 0 8.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.909 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.909 * [taylor]: Taking taylor expansion of 1/2 in m 8.909 * [backup-simplify]: Simplify 1/2 into 1/2 8.909 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.909 * [taylor]: Taking taylor expansion of (* K n) in m 8.909 * [taylor]: Taking taylor expansion of K in m 8.909 * [backup-simplify]: Simplify K into K 8.909 * [taylor]: Taking taylor expansion of n in m 8.909 * [backup-simplify]: Simplify n into n 8.909 * [backup-simplify]: Simplify (* K n) into (* K n) 8.909 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.909 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.909 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.909 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.909 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.909 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.909 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.909 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.909 * [taylor]: Taking taylor expansion of M in n 8.909 * [backup-simplify]: Simplify M into M 8.909 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.909 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.909 * [taylor]: Taking taylor expansion of 1/2 in n 8.909 * [backup-simplify]: Simplify 1/2 into 1/2 8.909 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.909 * [taylor]: Taking taylor expansion of (* m K) in n 8.909 * [taylor]: Taking taylor expansion of m in n 8.909 * [backup-simplify]: Simplify m into m 8.909 * [taylor]: Taking taylor expansion of K in n 8.909 * [backup-simplify]: Simplify K into K 8.910 * [backup-simplify]: Simplify (* m K) into (* m K) 8.910 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.910 * [taylor]: Taking taylor expansion of 1/2 in n 8.910 * [backup-simplify]: Simplify 1/2 into 1/2 8.910 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.910 * [taylor]: Taking taylor expansion of (* K n) in n 8.910 * [taylor]: Taking taylor expansion of K in n 8.910 * [backup-simplify]: Simplify K into K 8.910 * [taylor]: Taking taylor expansion of n in n 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify (* K 0) into 0 8.910 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.910 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.910 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.910 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.910 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.910 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.910 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.910 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.911 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.911 * [taylor]: Taking taylor expansion of M in K 8.911 * [backup-simplify]: Simplify M into M 8.911 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.911 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.911 * [taylor]: Taking taylor expansion of 1/2 in K 8.911 * [backup-simplify]: Simplify 1/2 into 1/2 8.911 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.911 * [taylor]: Taking taylor expansion of (* m K) in K 8.911 * [taylor]: Taking taylor expansion of m in K 8.911 * [backup-simplify]: Simplify m into m 8.911 * [taylor]: Taking taylor expansion of K in K 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [backup-simplify]: Simplify (* m 0) into 0 8.911 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.911 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.911 * [taylor]: Taking taylor expansion of 1/2 in K 8.911 * [backup-simplify]: Simplify 1/2 into 1/2 8.911 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.911 * [taylor]: Taking taylor expansion of (* K n) in K 8.911 * [taylor]: Taking taylor expansion of K in K 8.911 * [backup-simplify]: Simplify 0 into 0 8.911 * [backup-simplify]: Simplify 1 into 1 8.911 * [taylor]: Taking taylor expansion of n in K 8.911 * [backup-simplify]: Simplify n into n 8.911 * [backup-simplify]: Simplify (* 0 n) into 0 8.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.912 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.912 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.912 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.912 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.912 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.912 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.912 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.912 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.912 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.912 * [taylor]: Taking taylor expansion of M in M 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.913 * [taylor]: Taking taylor expansion of 1/2 in M 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.913 * [taylor]: Taking taylor expansion of (* m K) in M 8.913 * [taylor]: Taking taylor expansion of m in M 8.913 * [backup-simplify]: Simplify m into m 8.913 * [taylor]: Taking taylor expansion of K in M 8.913 * [backup-simplify]: Simplify K into K 8.913 * [backup-simplify]: Simplify (* m K) into (* m K) 8.913 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.913 * [taylor]: Taking taylor expansion of 1/2 in M 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.913 * [taylor]: Taking taylor expansion of (* K n) in M 8.913 * [taylor]: Taking taylor expansion of K in M 8.914 * [backup-simplify]: Simplify K into K 8.914 * [taylor]: Taking taylor expansion of n in M 8.914 * [backup-simplify]: Simplify n into n 8.914 * [backup-simplify]: Simplify (* K n) into (* K n) 8.914 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.914 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.915 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.915 * [taylor]: Taking taylor expansion of 0 in n 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in K 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in M 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in K 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in M 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in M 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in n 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [taylor]: Taking taylor expansion of 0 in K 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [taylor]: Taking taylor expansion of 0 in M 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [taylor]: Taking taylor expansion of 0 in K 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [taylor]: Taking taylor expansion of 0 in M 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.916 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 8.917 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.917 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 8.917 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.917 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.917 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.917 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.917 * [taylor]: Taking taylor expansion of 1/2 in M 8.917 * [backup-simplify]: Simplify 1/2 into 1/2 8.917 * [taylor]: Taking taylor expansion of (* K n) in M 8.917 * [taylor]: Taking taylor expansion of K in M 8.917 * [backup-simplify]: Simplify K into K 8.917 * [taylor]: Taking taylor expansion of n in M 8.917 * [backup-simplify]: Simplify n into n 8.917 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.917 * [taylor]: Taking taylor expansion of 1/2 in M 8.917 * [backup-simplify]: Simplify 1/2 into 1/2 8.917 * [taylor]: Taking taylor expansion of (* K m) in M 8.917 * [taylor]: Taking taylor expansion of K in M 8.917 * [backup-simplify]: Simplify K into K 8.917 * [taylor]: Taking taylor expansion of m in M 8.917 * [backup-simplify]: Simplify m into m 8.917 * [taylor]: Taking taylor expansion of M in M 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [backup-simplify]: Simplify (* K n) into (* K n) 8.917 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.917 * [backup-simplify]: Simplify (* K m) into (* K m) 8.917 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.918 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.918 * [backup-simplify]: Simplify (- 0) into 0 8.918 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.919 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.919 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.919 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.919 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.919 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.919 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.919 * [taylor]: Taking taylor expansion of 1/2 in K 8.919 * [backup-simplify]: Simplify 1/2 into 1/2 8.919 * [taylor]: Taking taylor expansion of (* K n) in K 8.919 * [taylor]: Taking taylor expansion of K in K 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [taylor]: Taking taylor expansion of n in K 8.919 * [backup-simplify]: Simplify n into n 8.919 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.919 * [taylor]: Taking taylor expansion of 1/2 in K 8.919 * [backup-simplify]: Simplify 1/2 into 1/2 8.919 * [taylor]: Taking taylor expansion of (* K m) in K 8.919 * [taylor]: Taking taylor expansion of K in K 8.919 * [backup-simplify]: Simplify 0 into 0 8.919 * [backup-simplify]: Simplify 1 into 1 8.919 * [taylor]: Taking taylor expansion of m in K 8.919 * [backup-simplify]: Simplify m into m 8.919 * [taylor]: Taking taylor expansion of M in K 8.919 * [backup-simplify]: Simplify M into M 8.919 * [backup-simplify]: Simplify (* 0 n) into 0 8.920 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.920 * [backup-simplify]: Simplify (* 0 m) into 0 8.920 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.921 * [backup-simplify]: Simplify (- M) into (- M) 8.921 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.921 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.921 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.921 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.921 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.921 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.921 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.921 * [taylor]: Taking taylor expansion of 1/2 in n 8.921 * [backup-simplify]: Simplify 1/2 into 1/2 8.921 * [taylor]: Taking taylor expansion of (* K n) in n 8.921 * [taylor]: Taking taylor expansion of K in n 8.921 * [backup-simplify]: Simplify K into K 8.921 * [taylor]: Taking taylor expansion of n in n 8.921 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify 1 into 1 8.921 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.921 * [taylor]: Taking taylor expansion of 1/2 in n 8.921 * [backup-simplify]: Simplify 1/2 into 1/2 8.921 * [taylor]: Taking taylor expansion of (* K m) in n 8.921 * [taylor]: Taking taylor expansion of K in n 8.921 * [backup-simplify]: Simplify K into K 8.922 * [taylor]: Taking taylor expansion of m in n 8.922 * [backup-simplify]: Simplify m into m 8.922 * [taylor]: Taking taylor expansion of M in n 8.922 * [backup-simplify]: Simplify M into M 8.922 * [backup-simplify]: Simplify (* K 0) into 0 8.922 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.922 * [backup-simplify]: Simplify (* K m) into (* K m) 8.922 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.922 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.922 * [backup-simplify]: Simplify (- M) into (- M) 8.923 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.923 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.923 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.923 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.923 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.923 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.923 * [taylor]: Taking taylor expansion of 1/2 in m 8.923 * [backup-simplify]: Simplify 1/2 into 1/2 8.923 * [taylor]: Taking taylor expansion of (* K n) in m 8.923 * [taylor]: Taking taylor expansion of K in m 8.923 * [backup-simplify]: Simplify K into K 8.923 * [taylor]: Taking taylor expansion of n in m 8.923 * [backup-simplify]: Simplify n into n 8.923 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.923 * [taylor]: Taking taylor expansion of 1/2 in m 8.923 * [backup-simplify]: Simplify 1/2 into 1/2 8.923 * [taylor]: Taking taylor expansion of (* K m) in m 8.923 * [taylor]: Taking taylor expansion of K in m 8.923 * [backup-simplify]: Simplify K into K 8.923 * [taylor]: Taking taylor expansion of m in m 8.923 * [backup-simplify]: Simplify 0 into 0 8.923 * [backup-simplify]: Simplify 1 into 1 8.923 * [taylor]: Taking taylor expansion of M in m 8.923 * [backup-simplify]: Simplify M into M 8.923 * [backup-simplify]: Simplify (* K n) into (* K n) 8.923 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.924 * [backup-simplify]: Simplify (* K 0) into 0 8.924 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.924 * [backup-simplify]: Simplify (- M) into (- M) 8.924 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.924 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.925 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.925 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.925 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.925 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.925 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.925 * [taylor]: Taking taylor expansion of 1/2 in m 8.925 * [backup-simplify]: Simplify 1/2 into 1/2 8.925 * [taylor]: Taking taylor expansion of (* K n) in m 8.925 * [taylor]: Taking taylor expansion of K in m 8.925 * [backup-simplify]: Simplify K into K 8.925 * [taylor]: Taking taylor expansion of n in m 8.925 * [backup-simplify]: Simplify n into n 8.925 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.925 * [taylor]: Taking taylor expansion of 1/2 in m 8.925 * [backup-simplify]: Simplify 1/2 into 1/2 8.925 * [taylor]: Taking taylor expansion of (* K m) in m 8.925 * [taylor]: Taking taylor expansion of K in m 8.925 * [backup-simplify]: Simplify K into K 8.925 * [taylor]: Taking taylor expansion of m in m 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.925 * [taylor]: Taking taylor expansion of M in m 8.925 * [backup-simplify]: Simplify M into M 8.925 * [backup-simplify]: Simplify (* K n) into (* K n) 8.925 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.925 * [backup-simplify]: Simplify (* K 0) into 0 8.926 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.926 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.926 * [backup-simplify]: Simplify (- M) into (- M) 8.927 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.927 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.927 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.927 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 8.927 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 8.928 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 8.928 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 8.928 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.928 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.928 * [taylor]: Taking taylor expansion of 1/2 in n 8.928 * [backup-simplify]: Simplify 1/2 into 1/2 8.928 * [taylor]: Taking taylor expansion of (* K n) in n 8.928 * [taylor]: Taking taylor expansion of K in n 8.928 * [backup-simplify]: Simplify K into K 8.928 * [taylor]: Taking taylor expansion of n in n 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 1 into 1 8.928 * [taylor]: Taking taylor expansion of M in n 8.928 * [backup-simplify]: Simplify M into M 8.928 * [backup-simplify]: Simplify (* K 0) into 0 8.929 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.929 * [backup-simplify]: Simplify (- M) into (- M) 8.929 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.929 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.929 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.929 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.929 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.930 * [backup-simplify]: Simplify (- 0) into 0 8.930 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.930 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.930 * [taylor]: Taking taylor expansion of (- M) in K 8.930 * [taylor]: Taking taylor expansion of M in K 8.930 * [backup-simplify]: Simplify M into M 8.930 * [backup-simplify]: Simplify (- M) into (- M) 8.930 * [backup-simplify]: Simplify (- M) into (- M) 8.930 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.930 * [backup-simplify]: Simplify (- M) into (- M) 8.930 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.930 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.930 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.931 * [backup-simplify]: Simplify (- 0) into 0 8.931 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.931 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.931 * [taylor]: Taking taylor expansion of (- M) in M 8.931 * [taylor]: Taking taylor expansion of M in M 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify (- 1) into -1 8.932 * [backup-simplify]: Simplify 1 into 1 8.932 * [backup-simplify]: Simplify (+ 0) into 0 8.933 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 8.933 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 8.934 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.934 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.934 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 8.935 * [backup-simplify]: Simplify (- 0) into 0 8.935 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.935 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 8.936 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 8.936 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 8.936 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 8.936 * [taylor]: Taking taylor expansion of 1/2 in n 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 8.936 * [taylor]: Taking taylor expansion of K in n 8.936 * [backup-simplify]: Simplify K into K 8.936 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 8.936 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.936 * [taylor]: Taking taylor expansion of 1/2 in n 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (* K n) in n 8.936 * [taylor]: Taking taylor expansion of K in n 8.936 * [backup-simplify]: Simplify K into K 8.936 * [taylor]: Taking taylor expansion of n in n 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 1 into 1 8.936 * [taylor]: Taking taylor expansion of M in n 8.936 * [backup-simplify]: Simplify M into M 8.937 * [backup-simplify]: Simplify (* K 0) into 0 8.937 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.937 * [backup-simplify]: Simplify (- M) into (- M) 8.937 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.937 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.937 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.937 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.937 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.937 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.938 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 8.938 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 8.938 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 8.938 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 8.938 * [taylor]: Taking taylor expansion of 1/2 in K 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 8.938 * [taylor]: Taking taylor expansion of K in K 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify 1 into 1 8.938 * [taylor]: Taking taylor expansion of (sin (- M)) in K 8.938 * [taylor]: Taking taylor expansion of (- M) in K 8.938 * [taylor]: Taking taylor expansion of M in K 8.938 * [backup-simplify]: Simplify M into M 8.938 * [backup-simplify]: Simplify (- M) into (- M) 8.938 * [backup-simplify]: Simplify (- M) into (- M) 8.938 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.938 * [backup-simplify]: Simplify (- M) into (- M) 8.938 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.938 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.939 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.939 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.939 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.939 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.940 * [backup-simplify]: Simplify (- 0) into 0 8.940 * [taylor]: Taking taylor expansion of 0 in M 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify (+ 0) into 0 8.941 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.941 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.941 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.942 * [backup-simplify]: Simplify (- 0) into 0 8.942 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.943 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 8.943 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 8.943 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 8.943 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 8.943 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 8.943 * [taylor]: Taking taylor expansion of 1/2 in K 8.943 * [backup-simplify]: Simplify 1/2 into 1/2 8.943 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 8.943 * [taylor]: Taking taylor expansion of K in K 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [taylor]: Taking taylor expansion of (sin (- M)) in K 8.943 * [taylor]: Taking taylor expansion of (- M) in K 8.943 * [taylor]: Taking taylor expansion of M in K 8.943 * [backup-simplify]: Simplify M into M 8.943 * [backup-simplify]: Simplify (- M) into (- M) 8.943 * [backup-simplify]: Simplify (- M) into (- M) 8.944 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.944 * [backup-simplify]: Simplify (- M) into (- M) 8.944 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.944 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.944 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.944 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.944 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.944 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.945 * [backup-simplify]: Simplify (- 0) into 0 8.945 * [taylor]: Taking taylor expansion of 0 in M 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify (+ 0) into 0 8.946 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.946 * [backup-simplify]: Simplify (- 0) into 0 8.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.948 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.948 * [backup-simplify]: Simplify (- 0) into 0 8.948 * [backup-simplify]: Simplify (+ 0 0) into 0 8.948 * [taylor]: Taking taylor expansion of 0 in M 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify (+ 0) into 0 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 8.950 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 8.951 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 8.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 8.952 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 8.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 8.953 * [backup-simplify]: Simplify (+ 0 0) into 0 8.954 * [backup-simplify]: Simplify (- 0) into 0 8.954 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.955 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 8.956 * [backup-simplify]: Simplify (- 0) into 0 8.956 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 8.956 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 8.956 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 8.956 * [taylor]: Taking taylor expansion of 1/8 in n 8.956 * [backup-simplify]: Simplify 1/8 into 1/8 8.956 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 8.956 * [taylor]: Taking taylor expansion of (pow K 2) in n 8.956 * [taylor]: Taking taylor expansion of K in n 8.956 * [backup-simplify]: Simplify K into K 8.956 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 8.956 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 8.956 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.957 * [taylor]: Taking taylor expansion of 1/2 in n 8.957 * [backup-simplify]: Simplify 1/2 into 1/2 8.957 * [taylor]: Taking taylor expansion of (* K n) in n 8.957 * [taylor]: Taking taylor expansion of K in n 8.957 * [backup-simplify]: Simplify K into K 8.957 * [taylor]: Taking taylor expansion of n in n 8.957 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify 1 into 1 8.957 * [taylor]: Taking taylor expansion of M in n 8.957 * [backup-simplify]: Simplify M into M 8.957 * [backup-simplify]: Simplify (* K 0) into 0 8.957 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.957 * [backup-simplify]: Simplify (- M) into (- M) 8.957 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.957 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.957 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.958 * [backup-simplify]: Simplify (* K K) into (pow K 2) 8.958 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.958 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.958 * [backup-simplify]: Simplify (- 0) into 0 8.958 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.958 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 8.958 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 8.959 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.959 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 8.959 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 8.959 * [taylor]: Taking taylor expansion of 1/8 in K 8.959 * [backup-simplify]: Simplify 1/8 into 1/8 8.959 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.959 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.959 * [taylor]: Taking taylor expansion of K in K 8.959 * [backup-simplify]: Simplify 0 into 0 8.959 * [backup-simplify]: Simplify 1 into 1 8.959 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.959 * [taylor]: Taking taylor expansion of (- M) in K 8.959 * [taylor]: Taking taylor expansion of M in K 8.959 * [backup-simplify]: Simplify M into M 8.959 * [backup-simplify]: Simplify (- M) into (- M) 8.959 * [backup-simplify]: Simplify (- M) into (- M) 8.959 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.959 * [backup-simplify]: Simplify (- M) into (- M) 8.959 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.960 * [backup-simplify]: Simplify (+ 0) into 0 8.960 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.961 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.961 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 8.961 * [backup-simplify]: Simplify (- 0) into 0 8.961 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 8.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 8.962 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 8.962 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 8.963 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 8.963 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 8.963 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 8.963 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 8.963 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 8.963 * [taylor]: Taking taylor expansion of 1/4 in K 8.963 * [backup-simplify]: Simplify 1/4 into 1/4 8.963 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.963 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.963 * [taylor]: Taking taylor expansion of K in K 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 1 into 1 8.963 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.963 * [taylor]: Taking taylor expansion of (- M) in K 8.963 * [taylor]: Taking taylor expansion of M in K 8.963 * [backup-simplify]: Simplify M into M 8.963 * [backup-simplify]: Simplify (- M) into (- M) 8.964 * [backup-simplify]: Simplify (- M) into (- M) 8.964 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.964 * [backup-simplify]: Simplify (- M) into (- M) 8.964 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 8.965 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.966 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 8.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 8.967 * [backup-simplify]: Simplify (- 0) into 0 8.967 * [backup-simplify]: Simplify (+ 0 0) into 0 8.968 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.968 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 8.969 * [backup-simplify]: Simplify (- 0) into 0 8.969 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 8.969 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 8.969 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 8.969 * [taylor]: Taking taylor expansion of 1/8 in K 8.969 * [backup-simplify]: Simplify 1/8 into 1/8 8.969 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 8.969 * [taylor]: Taking taylor expansion of (pow K 2) in K 8.969 * [taylor]: Taking taylor expansion of K in K 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 1 into 1 8.969 * [taylor]: Taking taylor expansion of (cos (- M)) in K 8.969 * [taylor]: Taking taylor expansion of (- M) in K 8.969 * [taylor]: Taking taylor expansion of M in K 8.969 * [backup-simplify]: Simplify M into M 8.970 * [backup-simplify]: Simplify (- M) into (- M) 8.970 * [backup-simplify]: Simplify (- M) into (- M) 8.970 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.970 * [backup-simplify]: Simplify (- M) into (- M) 8.970 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.970 * [backup-simplify]: Simplify (+ 0) into 0 8.971 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.971 * [backup-simplify]: Simplify (- 0) into 0 8.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.972 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.973 * [backup-simplify]: Simplify (+ 0 0) into 0 8.973 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.974 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.974 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.974 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.974 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.974 * [taylor]: Taking taylor expansion of 1/2 in M 8.974 * [backup-simplify]: Simplify 1/2 into 1/2 8.974 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.974 * [taylor]: Taking taylor expansion of (- M) in M 8.974 * [taylor]: Taking taylor expansion of M in M 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (- 0) into 0 8.975 * [backup-simplify]: Simplify (- 1) into -1 8.975 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.975 * [backup-simplify]: Simplify (- 0) into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (+ 0) into 0 8.976 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.977 * [backup-simplify]: Simplify (- 0) into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.978 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.978 * [backup-simplify]: Simplify (+ 0 0) into 0 8.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.979 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.979 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.979 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.979 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.979 * [taylor]: Taking taylor expansion of 1/2 in M 8.980 * [backup-simplify]: Simplify 1/2 into 1/2 8.980 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.980 * [taylor]: Taking taylor expansion of (- M) in M 8.980 * [taylor]: Taking taylor expansion of M in M 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (- 0) into 0 8.980 * [backup-simplify]: Simplify (- 1) into -1 8.980 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.981 * [backup-simplify]: Simplify (- 0) into 0 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.981 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 8.981 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.981 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.981 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.981 * [taylor]: Taking taylor expansion of 1/2 in M 8.981 * [backup-simplify]: Simplify 1/2 into 1/2 8.981 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.981 * [taylor]: Taking taylor expansion of (* m K) in M 8.981 * [taylor]: Taking taylor expansion of m in M 8.981 * [backup-simplify]: Simplify m into m 8.981 * [taylor]: Taking taylor expansion of K in M 8.981 * [backup-simplify]: Simplify K into K 8.981 * [backup-simplify]: Simplify (* m K) into (* m K) 8.981 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.981 * [taylor]: Taking taylor expansion of 1/2 in M 8.981 * [backup-simplify]: Simplify 1/2 into 1/2 8.981 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.981 * [taylor]: Taking taylor expansion of (* K n) in M 8.981 * [taylor]: Taking taylor expansion of K in M 8.981 * [backup-simplify]: Simplify K into K 8.981 * [taylor]: Taking taylor expansion of n in M 8.981 * [backup-simplify]: Simplify n into n 8.981 * [backup-simplify]: Simplify (* K n) into (* K n) 8.981 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.981 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.981 * [taylor]: Taking taylor expansion of M in M 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify (/ 1 1) into 1 8.982 * [backup-simplify]: Simplify (- 1) into -1 8.982 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.982 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.982 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.982 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.982 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.983 * [taylor]: Taking taylor expansion of 1/2 in K 8.983 * [backup-simplify]: Simplify 1/2 into 1/2 8.983 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.983 * [taylor]: Taking taylor expansion of (* m K) in K 8.983 * [taylor]: Taking taylor expansion of m in K 8.983 * [backup-simplify]: Simplify m into m 8.983 * [taylor]: Taking taylor expansion of K in K 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (* m 0) into 0 8.983 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.983 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.983 * [taylor]: Taking taylor expansion of 1/2 in K 8.983 * [backup-simplify]: Simplify 1/2 into 1/2 8.983 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.983 * [taylor]: Taking taylor expansion of (* K n) in K 8.983 * [taylor]: Taking taylor expansion of K in K 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [taylor]: Taking taylor expansion of n in K 8.983 * [backup-simplify]: Simplify n into n 8.983 * [backup-simplify]: Simplify (* 0 n) into 0 8.983 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.983 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.983 * [taylor]: Taking taylor expansion of M in K 8.983 * [backup-simplify]: Simplify M into M 8.984 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.984 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.984 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.984 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.984 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.984 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.984 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.984 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.984 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.984 * [taylor]: Taking taylor expansion of 1/2 in n 8.984 * [backup-simplify]: Simplify 1/2 into 1/2 8.984 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.984 * [taylor]: Taking taylor expansion of (* m K) in n 8.984 * [taylor]: Taking taylor expansion of m in n 8.984 * [backup-simplify]: Simplify m into m 8.984 * [taylor]: Taking taylor expansion of K in n 8.984 * [backup-simplify]: Simplify K into K 8.984 * [backup-simplify]: Simplify (* m K) into (* m K) 8.984 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.984 * [taylor]: Taking taylor expansion of 1/2 in n 8.984 * [backup-simplify]: Simplify 1/2 into 1/2 8.984 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.984 * [taylor]: Taking taylor expansion of (* K n) in n 8.984 * [taylor]: Taking taylor expansion of K in n 8.984 * [backup-simplify]: Simplify K into K 8.984 * [taylor]: Taking taylor expansion of n in n 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify 1 into 1 8.984 * [backup-simplify]: Simplify (* K 0) into 0 8.985 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.985 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.985 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.985 * [taylor]: Taking taylor expansion of M in n 8.985 * [backup-simplify]: Simplify M into M 8.985 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.985 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.985 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.985 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.985 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.985 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.985 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.985 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.985 * [taylor]: Taking taylor expansion of 1/2 in m 8.985 * [backup-simplify]: Simplify 1/2 into 1/2 8.985 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.985 * [taylor]: Taking taylor expansion of (* m K) in m 8.985 * [taylor]: Taking taylor expansion of m in m 8.985 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify 1 into 1 8.985 * [taylor]: Taking taylor expansion of K in m 8.985 * [backup-simplify]: Simplify K into K 8.985 * [backup-simplify]: Simplify (* 0 K) into 0 8.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.986 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.986 * [taylor]: Taking taylor expansion of 1/2 in m 8.986 * [backup-simplify]: Simplify 1/2 into 1/2 8.986 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.986 * [taylor]: Taking taylor expansion of (* K n) in m 8.986 * [taylor]: Taking taylor expansion of K in m 8.986 * [backup-simplify]: Simplify K into K 8.986 * [taylor]: Taking taylor expansion of n in m 8.986 * [backup-simplify]: Simplify n into n 8.986 * [backup-simplify]: Simplify (* K n) into (* K n) 8.986 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.986 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.986 * [taylor]: Taking taylor expansion of M in m 8.986 * [backup-simplify]: Simplify M into M 8.986 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.986 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.986 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.986 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.987 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.987 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.987 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.987 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.987 * [taylor]: Taking taylor expansion of 1/2 in m 8.987 * [backup-simplify]: Simplify 1/2 into 1/2 8.987 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.987 * [taylor]: Taking taylor expansion of (* m K) in m 8.987 * [taylor]: Taking taylor expansion of m in m 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify 1 into 1 8.987 * [taylor]: Taking taylor expansion of K in m 8.987 * [backup-simplify]: Simplify K into K 8.987 * [backup-simplify]: Simplify (* 0 K) into 0 8.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.987 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.987 * [taylor]: Taking taylor expansion of 1/2 in m 8.987 * [backup-simplify]: Simplify 1/2 into 1/2 8.987 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.987 * [taylor]: Taking taylor expansion of (* K n) in m 8.987 * [taylor]: Taking taylor expansion of K in m 8.987 * [backup-simplify]: Simplify K into K 8.987 * [taylor]: Taking taylor expansion of n in m 8.987 * [backup-simplify]: Simplify n into n 8.987 * [backup-simplify]: Simplify (* K n) into (* K n) 8.987 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.987 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.987 * [taylor]: Taking taylor expansion of M in m 8.987 * [backup-simplify]: Simplify M into M 8.987 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.987 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.987 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.988 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.988 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.988 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.988 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.988 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.988 * [taylor]: Taking taylor expansion of 1/2 in n 8.988 * [backup-simplify]: Simplify 1/2 into 1/2 8.988 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.988 * [taylor]: Taking taylor expansion of (* m K) in n 8.988 * [taylor]: Taking taylor expansion of m in n 8.988 * [backup-simplify]: Simplify m into m 8.988 * [taylor]: Taking taylor expansion of K in n 8.988 * [backup-simplify]: Simplify K into K 8.988 * [backup-simplify]: Simplify (* m K) into (* m K) 8.988 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.988 * [taylor]: Taking taylor expansion of 1/2 in n 8.988 * [backup-simplify]: Simplify 1/2 into 1/2 8.988 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.988 * [taylor]: Taking taylor expansion of (* K n) in n 8.988 * [taylor]: Taking taylor expansion of K in n 8.988 * [backup-simplify]: Simplify K into K 8.988 * [taylor]: Taking taylor expansion of n in n 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify 1 into 1 8.988 * [backup-simplify]: Simplify (* K 0) into 0 8.989 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.989 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.989 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.989 * [taylor]: Taking taylor expansion of M in n 8.989 * [backup-simplify]: Simplify M into M 8.989 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.989 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.989 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.989 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.989 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.989 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.989 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.989 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.989 * [taylor]: Taking taylor expansion of 1/2 in K 8.989 * [backup-simplify]: Simplify 1/2 into 1/2 8.989 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.989 * [taylor]: Taking taylor expansion of (* m K) in K 8.989 * [taylor]: Taking taylor expansion of m in K 8.989 * [backup-simplify]: Simplify m into m 8.989 * [taylor]: Taking taylor expansion of K in K 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (* m 0) into 0 8.990 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.990 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.990 * [taylor]: Taking taylor expansion of 1/2 in K 8.990 * [backup-simplify]: Simplify 1/2 into 1/2 8.990 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.990 * [taylor]: Taking taylor expansion of (* K n) in K 8.990 * [taylor]: Taking taylor expansion of K in K 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 1 into 1 8.990 * [taylor]: Taking taylor expansion of n in K 8.990 * [backup-simplify]: Simplify n into n 8.990 * [backup-simplify]: Simplify (* 0 n) into 0 8.990 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.990 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.990 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.990 * [taylor]: Taking taylor expansion of M in K 8.990 * [backup-simplify]: Simplify M into M 8.990 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.990 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.990 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.990 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.990 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.991 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.991 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.991 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.991 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.991 * [taylor]: Taking taylor expansion of 1/2 in M 8.991 * [backup-simplify]: Simplify 1/2 into 1/2 8.991 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.991 * [taylor]: Taking taylor expansion of (* m K) in M 8.991 * [taylor]: Taking taylor expansion of m in M 8.991 * [backup-simplify]: Simplify m into m 8.991 * [taylor]: Taking taylor expansion of K in M 8.991 * [backup-simplify]: Simplify K into K 8.991 * [backup-simplify]: Simplify (* m K) into (* m K) 8.991 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.991 * [taylor]: Taking taylor expansion of 1/2 in M 8.991 * [backup-simplify]: Simplify 1/2 into 1/2 8.991 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.991 * [taylor]: Taking taylor expansion of (* K n) in M 8.991 * [taylor]: Taking taylor expansion of K in M 8.991 * [backup-simplify]: Simplify K into K 8.991 * [taylor]: Taking taylor expansion of n in M 8.991 * [backup-simplify]: Simplify n into n 8.991 * [backup-simplify]: Simplify (* K n) into (* K n) 8.991 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.991 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.991 * [taylor]: Taking taylor expansion of M in M 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [backup-simplify]: Simplify (/ 1 1) into 1 8.992 * [backup-simplify]: Simplify (- 1) into -1 8.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.992 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.992 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.992 * [taylor]: Taking taylor expansion of 0 in n 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in K 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in M 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in K 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [taylor]: Taking taylor expansion of 0 in M 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in M 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in n 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in K 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in M 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in K 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [taylor]: Taking taylor expansion of 0 in M 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.993 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.993 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 8.993 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.993 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.993 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.993 * [taylor]: Taking taylor expansion of M in M 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (/ 1 1) into 1 8.994 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.994 * [taylor]: Taking taylor expansion of 1/2 in M 8.994 * [backup-simplify]: Simplify 1/2 into 1/2 8.994 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.994 * [taylor]: Taking taylor expansion of (* m K) in M 8.994 * [taylor]: Taking taylor expansion of m in M 8.994 * [backup-simplify]: Simplify m into m 8.994 * [taylor]: Taking taylor expansion of K in M 8.994 * [backup-simplify]: Simplify K into K 8.994 * [backup-simplify]: Simplify (* m K) into (* m K) 8.994 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.994 * [taylor]: Taking taylor expansion of 1/2 in M 8.994 * [backup-simplify]: Simplify 1/2 into 1/2 8.994 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.994 * [taylor]: Taking taylor expansion of (* K n) in M 8.994 * [taylor]: Taking taylor expansion of K in M 8.994 * [backup-simplify]: Simplify K into K 8.994 * [taylor]: Taking taylor expansion of n in M 8.994 * [backup-simplify]: Simplify n into n 8.994 * [backup-simplify]: Simplify (* K n) into (* K n) 8.994 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.994 * [backup-simplify]: Simplify (+ 1 0) into 1 8.995 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.995 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.995 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.995 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.995 * [taylor]: Taking taylor expansion of M in K 8.995 * [backup-simplify]: Simplify M into M 8.995 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.995 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.995 * [taylor]: Taking taylor expansion of 1/2 in K 8.995 * [backup-simplify]: Simplify 1/2 into 1/2 8.995 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.995 * [taylor]: Taking taylor expansion of (* m K) in K 8.995 * [taylor]: Taking taylor expansion of m in K 8.995 * [backup-simplify]: Simplify m into m 8.995 * [taylor]: Taking taylor expansion of K in K 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (* m 0) into 0 8.995 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.995 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.995 * [taylor]: Taking taylor expansion of 1/2 in K 8.995 * [backup-simplify]: Simplify 1/2 into 1/2 8.995 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.995 * [taylor]: Taking taylor expansion of (* K n) in K 8.995 * [taylor]: Taking taylor expansion of K in K 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [taylor]: Taking taylor expansion of n in K 8.995 * [backup-simplify]: Simplify n into n 8.995 * [backup-simplify]: Simplify (* 0 n) into 0 8.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.996 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.996 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.996 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.996 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.996 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.996 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.996 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.996 * [taylor]: Taking taylor expansion of M in n 8.996 * [backup-simplify]: Simplify M into M 8.996 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.996 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.996 * [taylor]: Taking taylor expansion of 1/2 in n 8.996 * [backup-simplify]: Simplify 1/2 into 1/2 8.996 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.996 * [taylor]: Taking taylor expansion of (* m K) in n 8.996 * [taylor]: Taking taylor expansion of m in n 8.996 * [backup-simplify]: Simplify m into m 8.996 * [taylor]: Taking taylor expansion of K in n 8.996 * [backup-simplify]: Simplify K into K 8.996 * [backup-simplify]: Simplify (* m K) into (* m K) 8.996 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.996 * [taylor]: Taking taylor expansion of 1/2 in n 8.996 * [backup-simplify]: Simplify 1/2 into 1/2 8.997 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.997 * [taylor]: Taking taylor expansion of (* K n) in n 8.997 * [taylor]: Taking taylor expansion of K in n 8.997 * [backup-simplify]: Simplify K into K 8.997 * [taylor]: Taking taylor expansion of n in n 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [backup-simplify]: Simplify (* K 0) into 0 8.997 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.997 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.997 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.997 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.997 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.997 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.997 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.997 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.997 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.997 * [taylor]: Taking taylor expansion of M in m 8.997 * [backup-simplify]: Simplify M into M 8.997 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.997 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.997 * [taylor]: Taking taylor expansion of 1/2 in m 8.997 * [backup-simplify]: Simplify 1/2 into 1/2 8.997 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.997 * [taylor]: Taking taylor expansion of (* m K) in m 8.997 * [taylor]: Taking taylor expansion of m in m 8.997 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 1 into 1 8.998 * [taylor]: Taking taylor expansion of K in m 8.998 * [backup-simplify]: Simplify K into K 8.998 * [backup-simplify]: Simplify (* 0 K) into 0 8.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.998 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.998 * [taylor]: Taking taylor expansion of 1/2 in m 8.998 * [backup-simplify]: Simplify 1/2 into 1/2 8.998 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.998 * [taylor]: Taking taylor expansion of (* K n) in m 8.998 * [taylor]: Taking taylor expansion of K in m 8.998 * [backup-simplify]: Simplify K into K 8.998 * [taylor]: Taking taylor expansion of n in m 8.998 * [backup-simplify]: Simplify n into n 8.998 * [backup-simplify]: Simplify (* K n) into (* K n) 8.998 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.998 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.998 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.998 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.998 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.998 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.998 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.998 * [taylor]: Taking taylor expansion of M in m 8.998 * [backup-simplify]: Simplify M into M 8.999 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.999 * [taylor]: Taking taylor expansion of 1/2 in m 8.999 * [backup-simplify]: Simplify 1/2 into 1/2 8.999 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.999 * [taylor]: Taking taylor expansion of (* m K) in m 8.999 * [taylor]: Taking taylor expansion of m in m 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 1 into 1 8.999 * [taylor]: Taking taylor expansion of K in m 8.999 * [backup-simplify]: Simplify K into K 8.999 * [backup-simplify]: Simplify (* 0 K) into 0 8.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.999 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.999 * [taylor]: Taking taylor expansion of 1/2 in m 8.999 * [backup-simplify]: Simplify 1/2 into 1/2 8.999 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.999 * [taylor]: Taking taylor expansion of (* K n) in m 8.999 * [taylor]: Taking taylor expansion of K in m 8.999 * [backup-simplify]: Simplify K into K 8.999 * [taylor]: Taking taylor expansion of n in m 8.999 * [backup-simplify]: Simplify n into n 8.999 * [backup-simplify]: Simplify (* K n) into (* K n) 8.999 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.999 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.999 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.999 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.000 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.000 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.000 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.000 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.000 * [taylor]: Taking taylor expansion of M in n 9.000 * [backup-simplify]: Simplify M into M 9.000 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.000 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.000 * [taylor]: Taking taylor expansion of 1/2 in n 9.000 * [backup-simplify]: Simplify 1/2 into 1/2 9.000 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.000 * [taylor]: Taking taylor expansion of (* m K) in n 9.000 * [taylor]: Taking taylor expansion of m in n 9.000 * [backup-simplify]: Simplify m into m 9.000 * [taylor]: Taking taylor expansion of K in n 9.000 * [backup-simplify]: Simplify K into K 9.000 * [backup-simplify]: Simplify (* m K) into (* m K) 9.000 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.000 * [taylor]: Taking taylor expansion of 1/2 in n 9.000 * [backup-simplify]: Simplify 1/2 into 1/2 9.000 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.000 * [taylor]: Taking taylor expansion of (* K n) in n 9.000 * [taylor]: Taking taylor expansion of K in n 9.000 * [backup-simplify]: Simplify K into K 9.000 * [taylor]: Taking taylor expansion of n in n 9.000 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (* K 0) into 0 9.000 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.000 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.001 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.001 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.001 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.001 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.001 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.001 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.001 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.001 * [taylor]: Taking taylor expansion of M in K 9.001 * [backup-simplify]: Simplify M into M 9.001 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.001 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.001 * [taylor]: Taking taylor expansion of 1/2 in K 9.001 * [backup-simplify]: Simplify 1/2 into 1/2 9.001 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.001 * [taylor]: Taking taylor expansion of (* m K) in K 9.001 * [taylor]: Taking taylor expansion of m in K 9.001 * [backup-simplify]: Simplify m into m 9.001 * [taylor]: Taking taylor expansion of K in K 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify 1 into 1 9.001 * [backup-simplify]: Simplify (* m 0) into 0 9.001 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.001 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.001 * [taylor]: Taking taylor expansion of 1/2 in K 9.002 * [backup-simplify]: Simplify 1/2 into 1/2 9.002 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.002 * [taylor]: Taking taylor expansion of (* K n) in K 9.002 * [taylor]: Taking taylor expansion of K in K 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of n in K 9.002 * [backup-simplify]: Simplify n into n 9.002 * [backup-simplify]: Simplify (* 0 n) into 0 9.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.002 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.002 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.002 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.002 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.002 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.002 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.002 * [taylor]: Taking taylor expansion of M in M 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (/ 1 1) into 1 9.003 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.003 * [taylor]: Taking taylor expansion of 1/2 in M 9.003 * [backup-simplify]: Simplify 1/2 into 1/2 9.003 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.003 * [taylor]: Taking taylor expansion of (* m K) in M 9.003 * [taylor]: Taking taylor expansion of m in M 9.003 * [backup-simplify]: Simplify m into m 9.003 * [taylor]: Taking taylor expansion of K in M 9.003 * [backup-simplify]: Simplify K into K 9.003 * [backup-simplify]: Simplify (* m K) into (* m K) 9.003 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.003 * [taylor]: Taking taylor expansion of 1/2 in M 9.003 * [backup-simplify]: Simplify 1/2 into 1/2 9.003 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.003 * [taylor]: Taking taylor expansion of (* K n) in M 9.003 * [taylor]: Taking taylor expansion of K in M 9.003 * [backup-simplify]: Simplify K into K 9.003 * [taylor]: Taking taylor expansion of n in M 9.003 * [backup-simplify]: Simplify n into n 9.003 * [backup-simplify]: Simplify (* K n) into (* K n) 9.003 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.003 * [backup-simplify]: Simplify (+ 1 0) into 1 9.004 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.004 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.004 * [taylor]: Taking taylor expansion of 0 in n 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in K 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in M 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in K 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in M 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in M 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in n 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in K 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in M 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in K 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [taylor]: Taking taylor expansion of 0 in M 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 9.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.005 * [backup-simplify]: Simplify (cbrt (cos (- (/ (* (+ m n) K) 2) M))) into (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) 9.005 * [approximate]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in (m n K M) around 0 9.005 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in M 9.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in M 9.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in M 9.005 * [taylor]: Taking taylor expansion of 1/3 in M 9.005 * [backup-simplify]: Simplify 1/3 into 1/3 9.005 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in M 9.005 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 9.005 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 9.005 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 9.005 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 9.005 * [taylor]: Taking taylor expansion of 1/2 in M 9.005 * [backup-simplify]: Simplify 1/2 into 1/2 9.005 * [taylor]: Taking taylor expansion of (* K n) in M 9.005 * [taylor]: Taking taylor expansion of K in M 9.005 * [backup-simplify]: Simplify K into K 9.005 * [taylor]: Taking taylor expansion of n in M 9.005 * [backup-simplify]: Simplify n into n 9.005 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 9.005 * [taylor]: Taking taylor expansion of 1/2 in M 9.005 * [backup-simplify]: Simplify 1/2 into 1/2 9.005 * [taylor]: Taking taylor expansion of (* K m) in M 9.005 * [taylor]: Taking taylor expansion of K in M 9.005 * [backup-simplify]: Simplify K into K 9.005 * [taylor]: Taking taylor expansion of m in M 9.005 * [backup-simplify]: Simplify m into m 9.005 * [taylor]: Taking taylor expansion of M in M 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (* K n) into (* K n) 9.005 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.005 * [backup-simplify]: Simplify (* K m) into (* K m) 9.005 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.006 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 9.006 * [backup-simplify]: Simplify (- 0) into 0 9.006 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 9.006 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.006 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.006 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.006 * [backup-simplify]: Simplify (* (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into 0 9.007 * [backup-simplify]: Simplify (- 0) into 0 9.007 * [backup-simplify]: Simplify (+ (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.007 * [backup-simplify]: Simplify (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) into (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) 9.007 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))))) into (* 1/3 (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))))) 9.007 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))))) into (pow (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1/3) 9.007 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in K 9.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in K 9.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in K 9.007 * [taylor]: Taking taylor expansion of 1/3 in K 9.007 * [backup-simplify]: Simplify 1/3 into 1/3 9.007 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in K 9.007 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 9.007 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 9.007 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 9.007 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 9.007 * [taylor]: Taking taylor expansion of 1/2 in K 9.007 * [backup-simplify]: Simplify 1/2 into 1/2 9.007 * [taylor]: Taking taylor expansion of (* K n) in K 9.007 * [taylor]: Taking taylor expansion of K in K 9.007 * [backup-simplify]: Simplify 0 into 0 9.007 * [backup-simplify]: Simplify 1 into 1 9.007 * [taylor]: Taking taylor expansion of n in K 9.007 * [backup-simplify]: Simplify n into n 9.007 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 9.007 * [taylor]: Taking taylor expansion of 1/2 in K 9.007 * [backup-simplify]: Simplify 1/2 into 1/2 9.007 * [taylor]: Taking taylor expansion of (* K m) in K 9.007 * [taylor]: Taking taylor expansion of K in K 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.008 * [taylor]: Taking taylor expansion of m in K 9.008 * [backup-simplify]: Simplify m into m 9.008 * [taylor]: Taking taylor expansion of M in K 9.008 * [backup-simplify]: Simplify M into M 9.008 * [backup-simplify]: Simplify (* 0 n) into 0 9.008 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.008 * [backup-simplify]: Simplify (* 0 m) into 0 9.008 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.009 * [backup-simplify]: Simplify (+ 0 0) into 0 9.009 * [backup-simplify]: Simplify (- M) into (- M) 9.009 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.009 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.009 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.009 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.009 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.010 * [backup-simplify]: Simplify (- 0) into 0 9.010 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.010 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.010 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.010 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.010 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in n 9.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in n 9.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in n 9.010 * [taylor]: Taking taylor expansion of 1/3 in n 9.010 * [backup-simplify]: Simplify 1/3 into 1/3 9.010 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in n 9.010 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 9.010 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 9.010 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 9.010 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.010 * [taylor]: Taking taylor expansion of 1/2 in n 9.010 * [backup-simplify]: Simplify 1/2 into 1/2 9.010 * [taylor]: Taking taylor expansion of (* K n) in n 9.010 * [taylor]: Taking taylor expansion of K in n 9.010 * [backup-simplify]: Simplify K into K 9.010 * [taylor]: Taking taylor expansion of n in n 9.010 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 9.011 * [taylor]: Taking taylor expansion of 1/2 in n 9.011 * [backup-simplify]: Simplify 1/2 into 1/2 9.011 * [taylor]: Taking taylor expansion of (* K m) in n 9.011 * [taylor]: Taking taylor expansion of K in n 9.011 * [backup-simplify]: Simplify K into K 9.011 * [taylor]: Taking taylor expansion of m in n 9.011 * [backup-simplify]: Simplify m into m 9.011 * [taylor]: Taking taylor expansion of M in n 9.011 * [backup-simplify]: Simplify M into M 9.011 * [backup-simplify]: Simplify (* K 0) into 0 9.011 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.011 * [backup-simplify]: Simplify (* K m) into (* K m) 9.011 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.012 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 9.012 * [backup-simplify]: Simplify (- M) into (- M) 9.012 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 9.012 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 9.012 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 9.012 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K m)) M)) 1) into (cos (- (* 1/2 (* K m)) M)) 9.012 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K m)) M)) 0) into 0 9.015 * [backup-simplify]: Simplify (- 0) into 0 9.015 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K m)) M)) 0) into (cos (- (* 1/2 (* K m)) M)) 9.015 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K m)) M))) into (log (cos (- (* 1/2 (* K m)) M))) 9.015 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) 9.015 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K m)) M))))) into (pow (cos (- (* 1/2 (* K m)) M)) 1/3) 9.015 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in m 9.016 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in m 9.016 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in m 9.016 * [taylor]: Taking taylor expansion of 1/3 in m 9.016 * [backup-simplify]: Simplify 1/3 into 1/3 9.016 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in m 9.016 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 9.016 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 9.016 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 9.016 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 9.016 * [taylor]: Taking taylor expansion of 1/2 in m 9.016 * [backup-simplify]: Simplify 1/2 into 1/2 9.016 * [taylor]: Taking taylor expansion of (* K n) in m 9.016 * [taylor]: Taking taylor expansion of K in m 9.016 * [backup-simplify]: Simplify K into K 9.016 * [taylor]: Taking taylor expansion of n in m 9.016 * [backup-simplify]: Simplify n into n 9.016 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 9.016 * [taylor]: Taking taylor expansion of 1/2 in m 9.016 * [backup-simplify]: Simplify 1/2 into 1/2 9.016 * [taylor]: Taking taylor expansion of (* K m) in m 9.016 * [taylor]: Taking taylor expansion of K in m 9.016 * [backup-simplify]: Simplify K into K 9.016 * [taylor]: Taking taylor expansion of m in m 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [taylor]: Taking taylor expansion of M in m 9.016 * [backup-simplify]: Simplify M into M 9.016 * [backup-simplify]: Simplify (* K n) into (* K n) 9.016 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.016 * [backup-simplify]: Simplify (* K 0) into 0 9.017 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.017 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.017 * [backup-simplify]: Simplify (- M) into (- M) 9.017 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 9.018 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 9.018 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.018 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 9.018 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 9.018 * [backup-simplify]: Simplify (- 0) into 0 9.019 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 9.019 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K n)) M))) into (log (cos (- (* 1/2 (* K n)) M))) 9.019 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) 9.019 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) into (pow (cos (- (* 1/2 (* K n)) M)) 1/3) 9.019 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in m 9.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in m 9.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in m 9.019 * [taylor]: Taking taylor expansion of 1/3 in m 9.019 * [backup-simplify]: Simplify 1/3 into 1/3 9.019 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in m 9.019 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 9.019 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 9.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 9.019 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 9.019 * [taylor]: Taking taylor expansion of 1/2 in m 9.020 * [backup-simplify]: Simplify 1/2 into 1/2 9.020 * [taylor]: Taking taylor expansion of (* K n) in m 9.020 * [taylor]: Taking taylor expansion of K in m 9.020 * [backup-simplify]: Simplify K into K 9.020 * [taylor]: Taking taylor expansion of n in m 9.020 * [backup-simplify]: Simplify n into n 9.020 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 9.020 * [taylor]: Taking taylor expansion of 1/2 in m 9.020 * [backup-simplify]: Simplify 1/2 into 1/2 9.020 * [taylor]: Taking taylor expansion of (* K m) in m 9.020 * [taylor]: Taking taylor expansion of K in m 9.020 * [backup-simplify]: Simplify K into K 9.020 * [taylor]: Taking taylor expansion of m in m 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 1 into 1 9.020 * [taylor]: Taking taylor expansion of M in m 9.020 * [backup-simplify]: Simplify M into M 9.020 * [backup-simplify]: Simplify (* K n) into (* K n) 9.020 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.020 * [backup-simplify]: Simplify (* K 0) into 0 9.021 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.021 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.021 * [backup-simplify]: Simplify (- M) into (- M) 9.021 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 9.021 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 9.021 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.021 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 9.022 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 9.022 * [backup-simplify]: Simplify (- 0) into 0 9.022 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 9.022 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K n)) M))) into (log (cos (- (* 1/2 (* K n)) M))) 9.022 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) 9.023 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) into (pow (cos (- (* 1/2 (* K n)) M)) 1/3) 9.023 * [taylor]: Taking taylor expansion of (pow (cos (- (* 1/2 (* K n)) M)) 1/3) in n 9.023 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) in n 9.023 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) in n 9.023 * [taylor]: Taking taylor expansion of 1/3 in n 9.023 * [backup-simplify]: Simplify 1/3 into 1/3 9.023 * [taylor]: Taking taylor expansion of (log (cos (- (* 1/2 (* K n)) M))) in n 9.023 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.023 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.023 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.023 * [taylor]: Taking taylor expansion of 1/2 in n 9.023 * [backup-simplify]: Simplify 1/2 into 1/2 9.023 * [taylor]: Taking taylor expansion of (* K n) in n 9.023 * [taylor]: Taking taylor expansion of K in n 9.023 * [backup-simplify]: Simplify K into K 9.023 * [taylor]: Taking taylor expansion of n in n 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.023 * [taylor]: Taking taylor expansion of M in n 9.023 * [backup-simplify]: Simplify M into M 9.023 * [backup-simplify]: Simplify (* K 0) into 0 9.024 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.024 * [backup-simplify]: Simplify (- M) into (- M) 9.024 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.024 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.024 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.024 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.024 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.024 * [backup-simplify]: Simplify (- 0) into 0 9.025 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.025 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.025 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.025 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.025 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in K 9.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in K 9.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in K 9.025 * [taylor]: Taking taylor expansion of 1/3 in K 9.025 * [backup-simplify]: Simplify 1/3 into 1/3 9.025 * [taylor]: Taking taylor expansion of (log (cos (- M))) in K 9.025 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.025 * [taylor]: Taking taylor expansion of (- M) in K 9.025 * [taylor]: Taking taylor expansion of M in K 9.025 * [backup-simplify]: Simplify M into M 9.025 * [backup-simplify]: Simplify (- M) into (- M) 9.025 * [backup-simplify]: Simplify (- M) into (- M) 9.025 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.025 * [backup-simplify]: Simplify (- M) into (- M) 9.025 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.025 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.025 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.026 * [backup-simplify]: Simplify (- 0) into 0 9.026 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.026 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.026 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.026 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.026 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in M 9.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in M 9.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in M 9.026 * [taylor]: Taking taylor expansion of 1/3 in M 9.026 * [backup-simplify]: Simplify 1/3 into 1/3 9.026 * [taylor]: Taking taylor expansion of (log (cos (- M))) in M 9.026 * [taylor]: Taking taylor expansion of (cos (- M)) in M 9.026 * [taylor]: Taking taylor expansion of (- M) in M 9.027 * [taylor]: Taking taylor expansion of M in M 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (- 0) into 0 9.027 * [backup-simplify]: Simplify (- 1) into -1 9.028 * [backup-simplify]: Simplify (log 1) into 0 9.028 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.029 * [backup-simplify]: Simplify (+ 0) into 0 9.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.031 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 9.031 * [backup-simplify]: Simplify (- 1) into -1 9.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 9.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 9.036 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 9.036 * [backup-simplify]: Simplify (exp 0) into 1 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (+ 0) into 0 9.037 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 9.037 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 9.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 9.038 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.039 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.039 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 9.039 * [backup-simplify]: Simplify (- 0) into 0 9.039 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.040 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 9.040 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 9.040 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 9.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) 1)) (pow (cos (- (* 1/2 (* K n)) M)) 1)))) 1) into (* -1/2 (/ (* K (sin (- (* 1/2 (* K n)) M))) (cos (- (* 1/2 (* K n)) M)))) 9.042 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (/ (* K (sin (- (* 1/2 (* K n)) M))) (cos (- (* 1/2 (* K n)) M))))) (* 0 (log (cos (- (* 1/2 (* K n)) M))))) into (- (* 1/6 (/ (* K (sin (- (* 1/2 (* K n)) M))) (cos (- (* 1/2 (* K n)) M))))) 9.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) (+ (* (/ (pow (- (* 1/6 (/ (* K (sin (- (* 1/2 (* K n)) M))) (cos (- (* 1/2 (* K n)) M))))) 1) 1)))) into (* -1/6 (* (* K (sin (- (* 1/2 (* K n)) M))) (pow (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2)) 1/3))) 9.042 * [taylor]: Taking taylor expansion of (* -1/6 (* (* K (sin (- (* 1/2 (* K n)) M))) (pow (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2)) 1/3))) in n 9.042 * [taylor]: Taking taylor expansion of -1/6 in n 9.042 * [backup-simplify]: Simplify -1/6 into -1/6 9.042 * [taylor]: Taking taylor expansion of (* (* K (sin (- (* 1/2 (* K n)) M))) (pow (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2)) 1/3)) in n 9.042 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 9.042 * [taylor]: Taking taylor expansion of K in n 9.043 * [backup-simplify]: Simplify K into K 9.043 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 9.043 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.043 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.043 * [taylor]: Taking taylor expansion of 1/2 in n 9.043 * [backup-simplify]: Simplify 1/2 into 1/2 9.043 * [taylor]: Taking taylor expansion of (* K n) in n 9.043 * [taylor]: Taking taylor expansion of K in n 9.043 * [backup-simplify]: Simplify K into K 9.043 * [taylor]: Taking taylor expansion of n in n 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [taylor]: Taking taylor expansion of M in n 9.043 * [backup-simplify]: Simplify M into M 9.043 * [backup-simplify]: Simplify (* K 0) into 0 9.043 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.044 * [backup-simplify]: Simplify (- M) into (- M) 9.044 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.044 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.044 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.044 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2)) 1/3) in n 9.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2))))) in n 9.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2)))) in n 9.044 * [taylor]: Taking taylor expansion of 1/3 in n 9.044 * [backup-simplify]: Simplify 1/3 into 1/3 9.044 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2))) in n 9.044 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- (* 1/2 (* K n)) M)) 2)) in n 9.044 * [taylor]: Taking taylor expansion of (pow (cos (- (* 1/2 (* K n)) M)) 2) in n 9.044 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.044 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.044 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.044 * [taylor]: Taking taylor expansion of 1/2 in n 9.044 * [backup-simplify]: Simplify 1/2 into 1/2 9.044 * [taylor]: Taking taylor expansion of (* K n) in n 9.044 * [taylor]: Taking taylor expansion of K in n 9.044 * [backup-simplify]: Simplify K into K 9.044 * [taylor]: Taking taylor expansion of n in n 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [taylor]: Taking taylor expansion of M in n 9.044 * [backup-simplify]: Simplify M into M 9.044 * [backup-simplify]: Simplify (* K 0) into 0 9.045 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.045 * [backup-simplify]: Simplify (- M) into (- M) 9.045 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.045 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.045 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.045 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.045 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.046 * [backup-simplify]: Simplify (- 0) into 0 9.046 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.046 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.046 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 9.046 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 9.046 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 9.046 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 9.046 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.046 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.047 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.047 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 9.047 * [backup-simplify]: Simplify (* (* K (sin (- M))) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* K (sin (- M)))) 9.047 * [backup-simplify]: Simplify (* -1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* K (sin (- M))))) into (* -1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* K (sin (- M))))) 9.047 * [taylor]: Taking taylor expansion of (* -1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* K (sin (- M))))) in K 9.047 * [taylor]: Taking taylor expansion of -1/6 in K 9.047 * [backup-simplify]: Simplify -1/6 into -1/6 9.047 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* K (sin (- M)))) in K 9.047 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in K 9.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in K 9.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in K 9.047 * [taylor]: Taking taylor expansion of 1/3 in K 9.047 * [backup-simplify]: Simplify 1/3 into 1/3 9.047 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in K 9.047 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in K 9.047 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in K 9.047 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.047 * [taylor]: Taking taylor expansion of (- M) in K 9.047 * [taylor]: Taking taylor expansion of M in K 9.047 * [backup-simplify]: Simplify M into M 9.048 * [backup-simplify]: Simplify (- M) into (- M) 9.048 * [backup-simplify]: Simplify (- M) into (- M) 9.048 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.048 * [backup-simplify]: Simplify (- M) into (- M) 9.048 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.048 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.048 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.048 * [backup-simplify]: Simplify (- 0) into 0 9.048 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.048 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.048 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 9.048 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 9.049 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 9.049 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 9.049 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 9.049 * [taylor]: Taking taylor expansion of K in K 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.049 * [taylor]: Taking taylor expansion of (- M) in K 9.049 * [taylor]: Taking taylor expansion of M in K 9.049 * [backup-simplify]: Simplify M into M 9.049 * [backup-simplify]: Simplify (- M) into (- M) 9.049 * [backup-simplify]: Simplify (- M) into (- M) 9.049 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.049 * [backup-simplify]: Simplify (- M) into (- M) 9.049 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.049 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.049 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.049 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.049 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 9.049 * [backup-simplify]: Simplify (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 0) into 0 9.050 * [backup-simplify]: Simplify (* -1/6 0) into 0 9.050 * [taylor]: Taking taylor expansion of 0 in M 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.050 * [backup-simplify]: Simplify (+ 0) into 0 9.050 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.050 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.051 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.051 * [backup-simplify]: Simplify (- 0) into 0 9.051 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.051 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 9.052 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 9.052 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 9.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* K (sin (- M)))))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1/2 (/ (* K (sin (- M))) (cos (- M)))) 9.052 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (/ (* K (sin (- M))) (cos (- M))))) (* 0 (log (cos (- M))))) into (- (* 1/6 (/ (* K (sin (- M))) (cos (- M))))) 9.052 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (* 1/6 (/ (* K (sin (- M))) (cos (- M))))) 1) 1)))) into (* -1/6 (* (* (sin (- M)) K) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) 9.052 * [taylor]: Taking taylor expansion of (* -1/6 (* (* (sin (- M)) K) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in K 9.052 * [taylor]: Taking taylor expansion of -1/6 in K 9.052 * [backup-simplify]: Simplify -1/6 into -1/6 9.052 * [taylor]: Taking taylor expansion of (* (* (sin (- M)) K) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in K 9.052 * [taylor]: Taking taylor expansion of (* (sin (- M)) K) in K 9.052 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.052 * [taylor]: Taking taylor expansion of (- M) in K 9.052 * [taylor]: Taking taylor expansion of M in K 9.052 * [backup-simplify]: Simplify M into M 9.052 * [backup-simplify]: Simplify (- M) into (- M) 9.053 * [backup-simplify]: Simplify (- M) into (- M) 9.053 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.053 * [backup-simplify]: Simplify (- M) into (- M) 9.053 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.053 * [taylor]: Taking taylor expansion of K in K 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 1 into 1 9.053 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in K 9.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in K 9.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in K 9.053 * [taylor]: Taking taylor expansion of 1/3 in K 9.053 * [backup-simplify]: Simplify 1/3 into 1/3 9.053 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in K 9.053 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in K 9.053 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in K 9.053 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.053 * [taylor]: Taking taylor expansion of (- M) in K 9.053 * [taylor]: Taking taylor expansion of M in K 9.053 * [backup-simplify]: Simplify M into M 9.053 * [backup-simplify]: Simplify (- M) into (- M) 9.053 * [backup-simplify]: Simplify (- M) into (- M) 9.053 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.053 * [backup-simplify]: Simplify (- M) into (- M) 9.053 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.053 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.053 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.053 * [backup-simplify]: Simplify (- 0) into 0 9.053 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.053 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.054 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 9.054 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 9.054 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 9.054 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 9.054 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.054 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.054 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.054 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.054 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into 0 9.054 * [backup-simplify]: Simplify (* -1/6 0) into 0 9.054 * [taylor]: Taking taylor expansion of 0 in M 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify (+ 0) into 0 9.055 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.055 * [backup-simplify]: Simplify (- 0) into 0 9.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.056 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 9.056 * [backup-simplify]: Simplify (- 0) into 0 9.056 * [backup-simplify]: Simplify (+ 0 0) into 0 9.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 9.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 9.058 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.058 * [taylor]: Taking taylor expansion of 0 in M 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.059 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 9.059 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 9.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (- 0) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.062 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.063 * [backup-simplify]: Simplify (- 0) into 0 9.063 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 9.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))))) 1)) (pow (cos (- (* 1/2 (* K n)) M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/4 (pow K 2)))) 9.064 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/4 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/4 (pow K 2))))) (+ (* 0 (* -1/2 (/ (* K (sin (- (* 1/2 (* K n)) M))) (cos (- (* 1/2 (* K n)) M))))) (* 0 (log (cos (- (* 1/2 (* K n)) M)))))) into (- (+ (* 1/24 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/24 (pow K 2)))) 9.066 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) (+ (* (/ (pow (- (* 1/6 (/ (* K (sin (- (* 1/2 (* K n)) M))) (cos (- (* 1/2 (* K n)) M))))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/24 (pow K 2)))) 1) 1)))) into (* -1 (* (pow (cos (- (* 1/2 (* K n)) M)) 1/3) (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/24 (pow K 2))))) 9.066 * [taylor]: Taking taylor expansion of (* -1 (* (pow (cos (- (* 1/2 (* K n)) M)) 1/3) (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/24 (pow K 2))))) in n 9.066 * [taylor]: Taking taylor expansion of -1 in n 9.066 * [backup-simplify]: Simplify -1 into -1 9.066 * [taylor]: Taking taylor expansion of (* (pow (cos (- (* 1/2 (* K n)) M)) 1/3) (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/24 (pow K 2)))) in n 9.066 * [taylor]: Taking taylor expansion of (pow (cos (- (* 1/2 (* K n)) M)) 1/3) in n 9.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) in n 9.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) in n 9.066 * [taylor]: Taking taylor expansion of 1/3 in n 9.066 * [backup-simplify]: Simplify 1/3 into 1/3 9.066 * [taylor]: Taking taylor expansion of (log (cos (- (* 1/2 (* K n)) M))) in n 9.066 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.066 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.066 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.066 * [taylor]: Taking taylor expansion of 1/2 in n 9.066 * [backup-simplify]: Simplify 1/2 into 1/2 9.066 * [taylor]: Taking taylor expansion of (* K n) in n 9.066 * [taylor]: Taking taylor expansion of K in n 9.066 * [backup-simplify]: Simplify K into K 9.066 * [taylor]: Taking taylor expansion of n in n 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [taylor]: Taking taylor expansion of M in n 9.066 * [backup-simplify]: Simplify M into M 9.066 * [backup-simplify]: Simplify (* K 0) into 0 9.067 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.067 * [backup-simplify]: Simplify (- M) into (- M) 9.067 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.067 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.067 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.067 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.067 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.067 * [backup-simplify]: Simplify (- 0) into 0 9.067 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.067 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.067 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.067 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.067 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) (* 1/24 (pow K 2))) in n 9.067 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2))) in n 9.067 * [taylor]: Taking taylor expansion of 1/36 in n 9.067 * [backup-simplify]: Simplify 1/36 into 1/36 9.067 * [taylor]: Taking taylor expansion of (/ (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) (pow (cos (- (* 1/2 (* K n)) M)) 2)) in n 9.067 * [taylor]: Taking taylor expansion of (* (pow K 2) (pow (sin (- (* 1/2 (* K n)) M)) 2)) in n 9.067 * [taylor]: Taking taylor expansion of (pow K 2) in n 9.067 * [taylor]: Taking taylor expansion of K in n 9.067 * [backup-simplify]: Simplify K into K 9.067 * [taylor]: Taking taylor expansion of (pow (sin (- (* 1/2 (* K n)) M)) 2) in n 9.067 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 9.067 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.067 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.067 * [taylor]: Taking taylor expansion of 1/2 in n 9.068 * [backup-simplify]: Simplify 1/2 into 1/2 9.068 * [taylor]: Taking taylor expansion of (* K n) in n 9.068 * [taylor]: Taking taylor expansion of K in n 9.068 * [backup-simplify]: Simplify K into K 9.068 * [taylor]: Taking taylor expansion of n in n 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [taylor]: Taking taylor expansion of M in n 9.068 * [backup-simplify]: Simplify M into M 9.068 * [backup-simplify]: Simplify (* K 0) into 0 9.068 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.068 * [backup-simplify]: Simplify (- M) into (- M) 9.068 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.068 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.068 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.068 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.068 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.068 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.069 * [taylor]: Taking taylor expansion of (pow (cos (- (* 1/2 (* K n)) M)) 2) in n 9.069 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.069 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.069 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.069 * [taylor]: Taking taylor expansion of 1/2 in n 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of (* K n) in n 9.069 * [taylor]: Taking taylor expansion of K in n 9.069 * [backup-simplify]: Simplify K into K 9.069 * [taylor]: Taking taylor expansion of n in n 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.069 * [taylor]: Taking taylor expansion of M in n 9.069 * [backup-simplify]: Simplify M into M 9.069 * [backup-simplify]: Simplify (* K 0) into 0 9.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.069 * [backup-simplify]: Simplify (- M) into (- M) 9.069 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.069 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.069 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.069 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.069 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.069 * [backup-simplify]: Simplify (- 0) into 0 9.070 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.070 * [backup-simplify]: Simplify (* K K) into (pow K 2) 9.070 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 9.070 * [backup-simplify]: Simplify (* (pow K 2) (pow (sin (- M)) 2)) into (* (pow K 2) (pow (sin (- M)) 2)) 9.070 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.070 * [backup-simplify]: Simplify (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) into (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) 9.070 * [taylor]: Taking taylor expansion of (* 1/24 (pow K 2)) in n 9.070 * [taylor]: Taking taylor expansion of 1/24 in n 9.070 * [backup-simplify]: Simplify 1/24 into 1/24 9.070 * [taylor]: Taking taylor expansion of (pow K 2) in n 9.070 * [taylor]: Taking taylor expansion of K in n 9.070 * [backup-simplify]: Simplify K into K 9.070 * [backup-simplify]: Simplify (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) into (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) 9.070 * [backup-simplify]: Simplify (* K K) into (pow K 2) 9.070 * [backup-simplify]: Simplify (* 1/24 (pow K 2)) into (* 1/24 (pow K 2)) 9.071 * [backup-simplify]: Simplify (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) into (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) 9.071 * [backup-simplify]: Simplify (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2)))) into (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3)) 9.071 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3))) into (* -1 (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3))) 9.071 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3))) in K 9.071 * [taylor]: Taking taylor expansion of -1 in K 9.071 * [backup-simplify]: Simplify -1 into -1 9.071 * [taylor]: Taking taylor expansion of (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3)) in K 9.071 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) in K 9.071 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) in K 9.071 * [taylor]: Taking taylor expansion of 1/36 in K 9.071 * [backup-simplify]: Simplify 1/36 into 1/36 9.071 * [taylor]: Taking taylor expansion of (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) in K 9.072 * [taylor]: Taking taylor expansion of (* (pow K 2) (pow (sin (- M)) 2)) in K 9.072 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.072 * [taylor]: Taking taylor expansion of K in K 9.072 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify 1 into 1 9.072 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in K 9.072 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.072 * [taylor]: Taking taylor expansion of (- M) in K 9.072 * [taylor]: Taking taylor expansion of M in K 9.072 * [backup-simplify]: Simplify M into M 9.072 * [backup-simplify]: Simplify (- M) into (- M) 9.072 * [backup-simplify]: Simplify (- M) into (- M) 9.072 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.072 * [backup-simplify]: Simplify (- M) into (- M) 9.072 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.072 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.072 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.072 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.072 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in K 9.072 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.072 * [taylor]: Taking taylor expansion of (- M) in K 9.072 * [taylor]: Taking taylor expansion of M in K 9.072 * [backup-simplify]: Simplify M into M 9.072 * [backup-simplify]: Simplify (- M) into (- M) 9.072 * [backup-simplify]: Simplify (- M) into (- M) 9.072 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.072 * [backup-simplify]: Simplify (- M) into (- M) 9.072 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.072 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.072 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.073 * [backup-simplify]: Simplify (- 0) into 0 9.073 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.073 * [backup-simplify]: Simplify (* 1 1) into 1 9.073 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 9.073 * [backup-simplify]: Simplify (* 1 (pow (sin (- M)) 2)) into (pow (sin (- M)) 2) 9.073 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.073 * [backup-simplify]: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) 9.073 * [taylor]: Taking taylor expansion of (* 1/24 (pow K 2)) in K 9.073 * [taylor]: Taking taylor expansion of 1/24 in K 9.073 * [backup-simplify]: Simplify 1/24 into 1/24 9.073 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.073 * [taylor]: Taking taylor expansion of K in K 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in K 9.073 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in K 9.073 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in K 9.073 * [taylor]: Taking taylor expansion of 1/3 in K 9.073 * [backup-simplify]: Simplify 1/3 into 1/3 9.073 * [taylor]: Taking taylor expansion of (log (cos (- M))) in K 9.073 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.073 * [taylor]: Taking taylor expansion of (- M) in K 9.073 * [taylor]: Taking taylor expansion of M in K 9.073 * [backup-simplify]: Simplify M into M 9.073 * [backup-simplify]: Simplify (- M) into (- M) 9.073 * [backup-simplify]: Simplify (- M) into (- M) 9.073 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.073 * [backup-simplify]: Simplify (- M) into (- M) 9.074 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.074 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.074 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.074 * [backup-simplify]: Simplify (- 0) into 0 9.074 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.074 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.074 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.074 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.074 * [backup-simplify]: Simplify (+ 0) into 0 9.075 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.075 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.075 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.075 * [backup-simplify]: Simplify (- 0) into 0 9.075 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.076 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 9.076 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 9.076 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 9.077 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/2 (* K (sin (- M)))))) (* (- (* 1/2 (* K (sin (- M))))) (cos (- M)))) into (- (+ (* 1/2 (* (cos (- M)) (* K (sin (- M))))) (* 1/2 (* (sin (- M)) (* K (cos (- M))))))) 9.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (- M)) 2)) (/ (- (+ (* 1/2 (* (cos (- M)) (* K (sin (- M))))) (* 1/2 (* (sin (- M)) (* K (cos (- M))))))) (pow (cos (- M)) 2))))) into (/ (* K (sin (- M))) (pow (cos (- M)) 3)) 9.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ (* K (sin (- M))) (pow (cos (- M)) 3))) 1)) (pow (/ 1 (pow (cos (- M)) 2)) 1)))) 1) into (/ (* K (sin (- M))) (cos (- M))) 9.078 * [backup-simplify]: Simplify (+ (* 1/3 (/ (* K (sin (- M))) (cos (- M)))) (* 0 (log (/ 1 (pow (cos (- M)) 2))))) into (* 1/3 (/ (* K (sin (- M))) (cos (- M)))) 9.079 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) (+ (* (/ (pow (* 1/3 (/ (* K (sin (- M))) (cos (- M)))) 1) 1)))) into (* 1/3 (* (* (sin (- M)) K) (pow (/ 1 (pow (cos (- M)) 5)) 1/3))) 9.079 * [backup-simplify]: Simplify (+ 0) into 0 9.080 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.080 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.081 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.082 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 9.082 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 9.082 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 9.083 * [backup-simplify]: Simplify (+ (* (* K (sin (- M))) (* 1/3 (* (* (sin (- M)) K) (pow (/ 1 (pow (cos (- M)) 5)) 1/3)))) (* (* 1/2 (* (pow K 2) (cos (- M)))) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) into (+ (* 1/3 (* (pow (/ 1 (pow (cos (- M)) 5)) 1/3) (* (pow K 2) (pow (sin (- M)) 2)))) (* 1/2 (* (pow K 2) (pow (cos (- M)) 1/3)))) 9.084 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* 1/3 (* (pow (/ 1 (pow (cos (- M)) 5)) 1/3) (* (pow K 2) (pow (sin (- M)) 2)))) (* 1/2 (* (pow K 2) (pow (cos (- M)) 1/3))))) (* 0 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* K (sin (- M)))))) into (- (+ (* 1/18 (* (* (pow (sin (- M)) 2) (pow K 2)) (pow (/ 1 (pow (cos (- M)) 5)) 1/3))) (* 1/12 (* (pow K 2) (pow (cos (- M)) 1/3))))) 9.084 * [taylor]: Taking taylor expansion of (- (+ (* 1/18 (* (* (pow (sin (- M)) 2) (pow K 2)) (pow (/ 1 (pow (cos (- M)) 5)) 1/3))) (* 1/12 (* (pow K 2) (pow (cos (- M)) 1/3))))) in K 9.084 * [taylor]: Taking taylor expansion of (+ (* 1/18 (* (* (pow (sin (- M)) 2) (pow K 2)) (pow (/ 1 (pow (cos (- M)) 5)) 1/3))) (* 1/12 (* (pow K 2) (pow (cos (- M)) 1/3)))) in K 9.084 * [taylor]: Taking taylor expansion of (* 1/18 (* (* (pow (sin (- M)) 2) (pow K 2)) (pow (/ 1 (pow (cos (- M)) 5)) 1/3))) in K 9.084 * [taylor]: Taking taylor expansion of 1/18 in K 9.084 * [backup-simplify]: Simplify 1/18 into 1/18 9.084 * [taylor]: Taking taylor expansion of (* (* (pow (sin (- M)) 2) (pow K 2)) (pow (/ 1 (pow (cos (- M)) 5)) 1/3)) in K 9.084 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow K 2)) in K 9.084 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in K 9.084 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.085 * [taylor]: Taking taylor expansion of (- M) in K 9.085 * [taylor]: Taking taylor expansion of M in K 9.085 * [backup-simplify]: Simplify M into M 9.085 * [backup-simplify]: Simplify (- M) into (- M) 9.085 * [backup-simplify]: Simplify (- M) into (- M) 9.085 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.085 * [backup-simplify]: Simplify (- M) into (- M) 9.085 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.085 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.085 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.085 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.085 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.085 * [taylor]: Taking taylor expansion of K in K 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 5)) 1/3) in K 9.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 5))))) in K 9.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 5)))) in K 9.085 * [taylor]: Taking taylor expansion of 1/3 in K 9.085 * [backup-simplify]: Simplify 1/3 into 1/3 9.085 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 5))) in K 9.085 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 5)) in K 9.085 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 5) in K 9.085 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.085 * [taylor]: Taking taylor expansion of (- M) in K 9.085 * [taylor]: Taking taylor expansion of M in K 9.085 * [backup-simplify]: Simplify M into M 9.085 * [backup-simplify]: Simplify (- M) into (- M) 9.085 * [backup-simplify]: Simplify (- M) into (- M) 9.086 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.086 * [backup-simplify]: Simplify (- M) into (- M) 9.086 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.086 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.086 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.086 * [backup-simplify]: Simplify (- 0) into 0 9.086 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.086 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.087 * [backup-simplify]: Simplify (* (pow (cos (- M)) 2) (pow (cos (- M)) 2)) into (pow (cos (- M)) 4) 9.087 * [backup-simplify]: Simplify (* (cos (- M)) (pow (cos (- M)) 4)) into (pow (cos (- M)) 5) 9.087 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 5)) into (/ 1 (pow (cos (- M)) 5)) 9.087 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 5))) into (log (/ 1 (pow (cos (- M)) 5))) 9.087 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 5)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 5)))) 9.087 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 5))))) into (pow (/ 1 (pow (cos (- M)) 5)) 1/3) 9.087 * [taylor]: Taking taylor expansion of (* 1/12 (* (pow K 2) (pow (cos (- M)) 1/3))) in K 9.087 * [taylor]: Taking taylor expansion of 1/12 in K 9.087 * [backup-simplify]: Simplify 1/12 into 1/12 9.087 * [taylor]: Taking taylor expansion of (* (pow K 2) (pow (cos (- M)) 1/3)) in K 9.087 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.088 * [taylor]: Taking taylor expansion of K in K 9.088 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify 1 into 1 9.088 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in K 9.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in K 9.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in K 9.088 * [taylor]: Taking taylor expansion of 1/3 in K 9.088 * [backup-simplify]: Simplify 1/3 into 1/3 9.088 * [taylor]: Taking taylor expansion of (log (cos (- M))) in K 9.088 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.088 * [taylor]: Taking taylor expansion of (- M) in K 9.088 * [taylor]: Taking taylor expansion of M in K 9.088 * [backup-simplify]: Simplify M into M 9.088 * [backup-simplify]: Simplify (- M) into (- M) 9.088 * [backup-simplify]: Simplify (- M) into (- M) 9.088 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.088 * [backup-simplify]: Simplify (- M) into (- M) 9.088 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.088 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.088 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.089 * [backup-simplify]: Simplify (- 0) into 0 9.089 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.089 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.089 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.089 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.090 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.091 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.092 * [backup-simplify]: Simplify (- 0) into 0 9.092 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.093 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.094 * [backup-simplify]: Simplify (- 0) into 0 9.094 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* K (sin (- M)))))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow K 2) (cos (- M)))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/4 (pow K 2)))) 9.096 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/4 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/4 (pow K 2))))) (+ (* 0 (* -1/2 (/ (* K (sin (- M))) (cos (- M))))) (* 0 (log (cos (- M)))))) into (- (+ (* 1/24 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2)))) 9.098 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (* 1/6 (/ (* K (sin (- M))) (cos (- M))))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2)))) 1) 1)))) into (* -1 (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3))) 9.098 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3))) in K 9.098 * [taylor]: Taking taylor expansion of -1 in K 9.098 * [backup-simplify]: Simplify -1 into -1 9.098 * [taylor]: Taking taylor expansion of (* (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) (pow (cos (- M)) 1/3)) in K 9.098 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (* 1/24 (pow K 2))) in K 9.098 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) in K 9.098 * [taylor]: Taking taylor expansion of 1/36 in K 9.098 * [backup-simplify]: Simplify 1/36 into 1/36 9.098 * [taylor]: Taking taylor expansion of (/ (* (pow K 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) in K 9.098 * [taylor]: Taking taylor expansion of (* (pow K 2) (pow (sin (- M)) 2)) in K 9.098 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.098 * [taylor]: Taking taylor expansion of K in K 9.098 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify 1 into 1 9.098 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in K 9.098 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.098 * [taylor]: Taking taylor expansion of (- M) in K 9.098 * [taylor]: Taking taylor expansion of M in K 9.098 * [backup-simplify]: Simplify M into M 9.098 * [backup-simplify]: Simplify (- M) into (- M) 9.098 * [backup-simplify]: Simplify (- M) into (- M) 9.098 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.099 * [backup-simplify]: Simplify (- M) into (- M) 9.099 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.099 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.099 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.099 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.099 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in K 9.099 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.099 * [taylor]: Taking taylor expansion of (- M) in K 9.099 * [taylor]: Taking taylor expansion of M in K 9.099 * [backup-simplify]: Simplify M into M 9.099 * [backup-simplify]: Simplify (- M) into (- M) 9.099 * [backup-simplify]: Simplify (- M) into (- M) 9.099 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.099 * [backup-simplify]: Simplify (- M) into (- M) 9.099 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.099 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.099 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.100 * [backup-simplify]: Simplify (- 0) into 0 9.100 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.100 * [backup-simplify]: Simplify (* 1 1) into 1 9.100 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 9.101 * [backup-simplify]: Simplify (* 1 (pow (sin (- M)) 2)) into (pow (sin (- M)) 2) 9.101 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 9.101 * [backup-simplify]: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) 9.101 * [taylor]: Taking taylor expansion of (* 1/24 (pow K 2)) in K 9.101 * [taylor]: Taking taylor expansion of 1/24 in K 9.101 * [backup-simplify]: Simplify 1/24 into 1/24 9.101 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.101 * [taylor]: Taking taylor expansion of K in K 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in K 9.101 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in K 9.101 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in K 9.101 * [taylor]: Taking taylor expansion of 1/3 in K 9.101 * [backup-simplify]: Simplify 1/3 into 1/3 9.101 * [taylor]: Taking taylor expansion of (log (cos (- M))) in K 9.101 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.101 * [taylor]: Taking taylor expansion of (- M) in K 9.101 * [taylor]: Taking taylor expansion of M in K 9.101 * [backup-simplify]: Simplify M into M 9.101 * [backup-simplify]: Simplify (- M) into (- M) 9.101 * [backup-simplify]: Simplify (- M) into (- M) 9.101 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.101 * [backup-simplify]: Simplify (- M) into (- M) 9.102 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.102 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.102 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.102 * [backup-simplify]: Simplify (- 0) into 0 9.102 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.102 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 9.102 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 9.102 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 9.103 * [backup-simplify]: Simplify (+ 0) into 0 9.103 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.104 * [backup-simplify]: Simplify (- 0) into 0 9.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.105 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.105 * [backup-simplify]: Simplify (+ 0 0) into 0 9.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 9.106 * [backup-simplify]: Simplify (+ 0) into 0 9.106 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.107 * [backup-simplify]: Simplify (- 0) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.108 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 9.108 * [backup-simplify]: Simplify (- 0) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.109 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 (cos (- M)))) into 0 9.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (- M)) 2)) (/ 0 (pow (cos (- M)) 2))))) into 0 9.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (cos (- M)) 2)) 1)))) 1) into 0 9.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (cos (- M)) 2))))) into 0 9.112 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.112 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) (* 0 0)) into (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) 9.113 * [backup-simplify]: Simplify (+ (* -1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) (* 0 0)) into (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) 9.113 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) in M 9.113 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) in M 9.113 * [taylor]: Taking taylor expansion of 1/6 in M 9.113 * [backup-simplify]: Simplify 1/6 into 1/6 9.113 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) in M 9.113 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in M 9.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in M 9.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in M 9.113 * [taylor]: Taking taylor expansion of 1/3 in M 9.113 * [backup-simplify]: Simplify 1/3 into 1/3 9.113 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in M 9.113 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in M 9.113 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in M 9.113 * [taylor]: Taking taylor expansion of (cos (- M)) in M 9.113 * [taylor]: Taking taylor expansion of (- M) in M 9.113 * [taylor]: Taking taylor expansion of M in M 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (- 0) into 0 9.114 * [backup-simplify]: Simplify (- 1) into -1 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.115 * [backup-simplify]: Simplify (/ 1 1) into 1 9.115 * [backup-simplify]: Simplify (log 1) into 0 9.115 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.116 * [backup-simplify]: Simplify (+ 0) into 0 9.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 9.120 * [backup-simplify]: Simplify (- 1) into -1 9.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 9.121 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 9.125 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 9.126 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 9.126 * [backup-simplify]: Simplify (exp 0) into 1 9.126 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.126 * [taylor]: Taking taylor expansion of (- M) in M 9.126 * [taylor]: Taking taylor expansion of M in M 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [backup-simplify]: Simplify (- 0) into 0 9.127 * [backup-simplify]: Simplify (- 1) into -1 9.127 * [backup-simplify]: Simplify (* 1 0) into 0 9.127 * [backup-simplify]: Simplify (* 1/6 0) into 0 9.128 * [backup-simplify]: Simplify (- 0) into 0 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify (+ 0) into 0 9.129 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.129 * [backup-simplify]: Simplify (- 0) into 0 9.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.130 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 9.131 * [backup-simplify]: Simplify (- 0) into 0 9.131 * [backup-simplify]: Simplify (+ 0 0) into 0 9.131 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 (cos (- M)))) into 0 9.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (- M)) 2)) (/ 0 (pow (cos (- M)) 2))))) into 0 9.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (cos (- M)) 2)) 1)))) 1) into 0 9.133 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow (cos (- M)) 2))))) into 0 9.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ 0) into 0 9.134 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.135 * [backup-simplify]: Simplify (- 0) into 0 9.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.136 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.136 * [backup-simplify]: Simplify (+ 0 0) into 0 9.137 * [backup-simplify]: Simplify (+ (* (sin (- M)) 1) (* 0 0)) into (sin (- M)) 9.137 * [backup-simplify]: Simplify (+ (* 0 0) (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) into (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) 9.138 * [backup-simplify]: Simplify (+ (* -1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) (* 0 0)) into (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) 9.138 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) in M 9.138 * [taylor]: Taking taylor expansion of (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in M 9.138 * [taylor]: Taking taylor expansion of 1/6 in M 9.138 * [backup-simplify]: Simplify 1/6 into 1/6 9.138 * [taylor]: Taking taylor expansion of (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in M 9.138 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.138 * [taylor]: Taking taylor expansion of (- M) in M 9.138 * [taylor]: Taking taylor expansion of M in M 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 1 into 1 9.139 * [backup-simplify]: Simplify (- 0) into 0 9.139 * [backup-simplify]: Simplify (- 1) into -1 9.139 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in M 9.139 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in M 9.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in M 9.139 * [taylor]: Taking taylor expansion of 1/3 in M 9.139 * [backup-simplify]: Simplify 1/3 into 1/3 9.139 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in M 9.139 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in M 9.139 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in M 9.139 * [taylor]: Taking taylor expansion of (cos (- M)) in M 9.139 * [taylor]: Taking taylor expansion of (- M) in M 9.139 * [taylor]: Taking taylor expansion of M in M 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.140 * [backup-simplify]: Simplify (- 0) into 0 9.140 * [backup-simplify]: Simplify (- 1) into -1 9.140 * [backup-simplify]: Simplify (* 1 1) into 1 9.141 * [backup-simplify]: Simplify (/ 1 1) into 1 9.141 * [backup-simplify]: Simplify (log 1) into 0 9.142 * [backup-simplify]: Simplify (* 1/3 0) into 0 9.142 * [backup-simplify]: Simplify (+ 0) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 9.148 * [backup-simplify]: Simplify (- 1) into -1 9.149 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 9.150 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 9.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 9.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 9.154 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 9.154 * [backup-simplify]: Simplify (exp 0) into 1 9.155 * [backup-simplify]: Simplify (* 0 1) into 0 9.155 * [backup-simplify]: Simplify (* 1/6 0) into 0 9.156 * [backup-simplify]: Simplify (- 0) into 0 9.156 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify 1 into 1 9.156 * [backup-simplify]: Simplify (cbrt (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.156 * [approximate]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in (m n K M) around 0 9.156 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M 9.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M 9.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M 9.156 * [taylor]: Taking taylor expansion of 1/3 in M 9.156 * [backup-simplify]: Simplify 1/3 into 1/3 9.156 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in M 9.156 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 9.156 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 9.157 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.157 * [taylor]: Taking taylor expansion of 1/2 in M 9.157 * [backup-simplify]: Simplify 1/2 into 1/2 9.157 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.157 * [taylor]: Taking taylor expansion of (* m K) in M 9.157 * [taylor]: Taking taylor expansion of m in M 9.157 * [backup-simplify]: Simplify m into m 9.157 * [taylor]: Taking taylor expansion of K in M 9.157 * [backup-simplify]: Simplify K into K 9.157 * [backup-simplify]: Simplify (* m K) into (* m K) 9.157 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.157 * [taylor]: Taking taylor expansion of 1/2 in M 9.157 * [backup-simplify]: Simplify 1/2 into 1/2 9.157 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.157 * [taylor]: Taking taylor expansion of (* K n) in M 9.157 * [taylor]: Taking taylor expansion of K in M 9.157 * [backup-simplify]: Simplify K into K 9.157 * [taylor]: Taking taylor expansion of n in M 9.157 * [backup-simplify]: Simplify n into n 9.157 * [backup-simplify]: Simplify (* K n) into (* K n) 9.157 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.157 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.157 * [taylor]: Taking taylor expansion of M in M 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (/ 1 1) into 1 9.158 * [backup-simplify]: Simplify (- 1) into -1 9.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.159 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.159 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.160 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.160 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.160 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in K 9.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in K 9.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in K 9.160 * [taylor]: Taking taylor expansion of 1/3 in K 9.160 * [backup-simplify]: Simplify 1/3 into 1/3 9.160 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in K 9.160 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 9.160 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 9.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.160 * [taylor]: Taking taylor expansion of 1/2 in K 9.160 * [backup-simplify]: Simplify 1/2 into 1/2 9.160 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.160 * [taylor]: Taking taylor expansion of (* m K) in K 9.160 * [taylor]: Taking taylor expansion of m in K 9.160 * [backup-simplify]: Simplify m into m 9.160 * [taylor]: Taking taylor expansion of K in K 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (* m 0) into 0 9.161 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.161 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.161 * [taylor]: Taking taylor expansion of 1/2 in K 9.161 * [backup-simplify]: Simplify 1/2 into 1/2 9.161 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.161 * [taylor]: Taking taylor expansion of (* K n) in K 9.161 * [taylor]: Taking taylor expansion of K in K 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [taylor]: Taking taylor expansion of n in K 9.161 * [backup-simplify]: Simplify n into n 9.161 * [backup-simplify]: Simplify (* 0 n) into 0 9.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.162 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.162 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.162 * [taylor]: Taking taylor expansion of M in K 9.162 * [backup-simplify]: Simplify M into M 9.162 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.162 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.162 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.163 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.163 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.163 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.164 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.164 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n 9.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n 9.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n 9.164 * [taylor]: Taking taylor expansion of 1/3 in n 9.164 * [backup-simplify]: Simplify 1/3 into 1/3 9.164 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n 9.164 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 9.164 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 9.164 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.164 * [taylor]: Taking taylor expansion of 1/2 in n 9.164 * [backup-simplify]: Simplify 1/2 into 1/2 9.164 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.164 * [taylor]: Taking taylor expansion of (* m K) in n 9.164 * [taylor]: Taking taylor expansion of m in n 9.164 * [backup-simplify]: Simplify m into m 9.164 * [taylor]: Taking taylor expansion of K in n 9.164 * [backup-simplify]: Simplify K into K 9.164 * [backup-simplify]: Simplify (* m K) into (* m K) 9.164 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.164 * [taylor]: Taking taylor expansion of 1/2 in n 9.164 * [backup-simplify]: Simplify 1/2 into 1/2 9.164 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.164 * [taylor]: Taking taylor expansion of (* K n) in n 9.164 * [taylor]: Taking taylor expansion of K in n 9.164 * [backup-simplify]: Simplify K into K 9.164 * [taylor]: Taking taylor expansion of n in n 9.164 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify 1 into 1 9.164 * [backup-simplify]: Simplify (* K 0) into 0 9.165 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.165 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.165 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.165 * [taylor]: Taking taylor expansion of M in n 9.165 * [backup-simplify]: Simplify M into M 9.165 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.165 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.165 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.165 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.166 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.166 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.166 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.167 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.167 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m 9.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m 9.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m 9.167 * [taylor]: Taking taylor expansion of 1/3 in m 9.167 * [backup-simplify]: Simplify 1/3 into 1/3 9.167 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in m 9.167 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 9.167 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 9.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.167 * [taylor]: Taking taylor expansion of 1/2 in m 9.167 * [backup-simplify]: Simplify 1/2 into 1/2 9.167 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.167 * [taylor]: Taking taylor expansion of (* m K) in m 9.167 * [taylor]: Taking taylor expansion of m in m 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [taylor]: Taking taylor expansion of K in m 9.167 * [backup-simplify]: Simplify K into K 9.167 * [backup-simplify]: Simplify (* 0 K) into 0 9.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.168 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.168 * [taylor]: Taking taylor expansion of 1/2 in m 9.168 * [backup-simplify]: Simplify 1/2 into 1/2 9.168 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.168 * [taylor]: Taking taylor expansion of (* K n) in m 9.168 * [taylor]: Taking taylor expansion of K in m 9.168 * [backup-simplify]: Simplify K into K 9.168 * [taylor]: Taking taylor expansion of n in m 9.168 * [backup-simplify]: Simplify n into n 9.168 * [backup-simplify]: Simplify (* K n) into (* K n) 9.168 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.168 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.168 * [taylor]: Taking taylor expansion of M in m 9.168 * [backup-simplify]: Simplify M into M 9.168 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.168 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.168 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.169 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.169 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.169 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.169 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.170 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.170 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m 9.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m 9.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m 9.170 * [taylor]: Taking taylor expansion of 1/3 in m 9.170 * [backup-simplify]: Simplify 1/3 into 1/3 9.170 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in m 9.170 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 9.170 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 9.170 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.170 * [taylor]: Taking taylor expansion of 1/2 in m 9.170 * [backup-simplify]: Simplify 1/2 into 1/2 9.170 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.170 * [taylor]: Taking taylor expansion of (* m K) in m 9.170 * [taylor]: Taking taylor expansion of m in m 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [taylor]: Taking taylor expansion of K in m 9.170 * [backup-simplify]: Simplify K into K 9.170 * [backup-simplify]: Simplify (* 0 K) into 0 9.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.171 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.171 * [taylor]: Taking taylor expansion of 1/2 in m 9.171 * [backup-simplify]: Simplify 1/2 into 1/2 9.171 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.171 * [taylor]: Taking taylor expansion of (* K n) in m 9.171 * [taylor]: Taking taylor expansion of K in m 9.171 * [backup-simplify]: Simplify K into K 9.171 * [taylor]: Taking taylor expansion of n in m 9.171 * [backup-simplify]: Simplify n into n 9.171 * [backup-simplify]: Simplify (* K n) into (* K n) 9.171 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.171 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.171 * [taylor]: Taking taylor expansion of M in m 9.171 * [backup-simplify]: Simplify M into M 9.171 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.171 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.171 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.172 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.172 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.172 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.172 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.173 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.173 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n 9.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n 9.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n 9.173 * [taylor]: Taking taylor expansion of 1/3 in n 9.173 * [backup-simplify]: Simplify 1/3 into 1/3 9.173 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n 9.173 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 9.173 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 9.173 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.173 * [taylor]: Taking taylor expansion of 1/2 in n 9.173 * [backup-simplify]: Simplify 1/2 into 1/2 9.173 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.173 * [taylor]: Taking taylor expansion of (* m K) in n 9.173 * [taylor]: Taking taylor expansion of m in n 9.173 * [backup-simplify]: Simplify m into m 9.173 * [taylor]: Taking taylor expansion of K in n 9.173 * [backup-simplify]: Simplify K into K 9.173 * [backup-simplify]: Simplify (* m K) into (* m K) 9.174 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.174 * [taylor]: Taking taylor expansion of 1/2 in n 9.174 * [backup-simplify]: Simplify 1/2 into 1/2 9.174 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.174 * [taylor]: Taking taylor expansion of (* K n) in n 9.174 * [taylor]: Taking taylor expansion of K in n 9.174 * [backup-simplify]: Simplify K into K 9.174 * [taylor]: Taking taylor expansion of n in n 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [backup-simplify]: Simplify (* K 0) into 0 9.174 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.174 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.174 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.174 * [taylor]: Taking taylor expansion of M in n 9.174 * [backup-simplify]: Simplify M into M 9.175 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.175 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.175 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.175 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.175 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.175 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.176 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.176 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.176 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in K 9.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in K 9.176 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in K 9.176 * [taylor]: Taking taylor expansion of 1/3 in K 9.176 * [backup-simplify]: Simplify 1/3 into 1/3 9.176 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in K 9.176 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 9.176 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 9.176 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.176 * [taylor]: Taking taylor expansion of 1/2 in K 9.176 * [backup-simplify]: Simplify 1/2 into 1/2 9.176 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.176 * [taylor]: Taking taylor expansion of (* m K) in K 9.176 * [taylor]: Taking taylor expansion of m in K 9.177 * [backup-simplify]: Simplify m into m 9.177 * [taylor]: Taking taylor expansion of K in K 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (* m 0) into 0 9.177 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.177 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.177 * [taylor]: Taking taylor expansion of 1/2 in K 9.177 * [backup-simplify]: Simplify 1/2 into 1/2 9.177 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.177 * [taylor]: Taking taylor expansion of (* K n) in K 9.177 * [taylor]: Taking taylor expansion of K in K 9.177 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify 1 into 1 9.177 * [taylor]: Taking taylor expansion of n in K 9.177 * [backup-simplify]: Simplify n into n 9.177 * [backup-simplify]: Simplify (* 0 n) into 0 9.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.178 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.178 * [taylor]: Taking taylor expansion of M in K 9.178 * [backup-simplify]: Simplify M into M 9.178 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.178 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.178 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.179 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.179 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.179 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.180 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.180 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M 9.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M 9.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M 9.180 * [taylor]: Taking taylor expansion of 1/3 in M 9.180 * [backup-simplify]: Simplify 1/3 into 1/3 9.180 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in M 9.180 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 9.180 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 9.180 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.180 * [taylor]: Taking taylor expansion of 1/2 in M 9.180 * [backup-simplify]: Simplify 1/2 into 1/2 9.180 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.180 * [taylor]: Taking taylor expansion of (* m K) in M 9.180 * [taylor]: Taking taylor expansion of m in M 9.180 * [backup-simplify]: Simplify m into m 9.180 * [taylor]: Taking taylor expansion of K in M 9.180 * [backup-simplify]: Simplify K into K 9.180 * [backup-simplify]: Simplify (* m K) into (* m K) 9.180 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.180 * [taylor]: Taking taylor expansion of 1/2 in M 9.180 * [backup-simplify]: Simplify 1/2 into 1/2 9.180 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.181 * [taylor]: Taking taylor expansion of (* K n) in M 9.181 * [taylor]: Taking taylor expansion of K in M 9.181 * [backup-simplify]: Simplify K into K 9.181 * [taylor]: Taking taylor expansion of n in M 9.181 * [backup-simplify]: Simplify n into n 9.181 * [backup-simplify]: Simplify (* K n) into (* K n) 9.181 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.181 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.181 * [taylor]: Taking taylor expansion of M in M 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (/ 1 1) into 1 9.182 * [backup-simplify]: Simplify (- 1) into -1 9.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.182 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.183 * [backup-simplify]: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) 9.183 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) 9.183 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.184 * [backup-simplify]: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 9.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 9.185 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 9.186 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.186 * [taylor]: Taking taylor expansion of 0 in n 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [taylor]: Taking taylor expansion of 0 in K 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [taylor]: Taking taylor expansion of 0 in M 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 9.188 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.189 * [taylor]: Taking taylor expansion of 0 in K 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [taylor]: Taking taylor expansion of 0 in M 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 9.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 9.191 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.192 * [taylor]: Taking taylor expansion of 0 in M 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 9.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 9.193 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 2) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))))) into 0 9.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.196 * [taylor]: Taking taylor expansion of 0 in n 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [taylor]: Taking taylor expansion of 0 in K 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [taylor]: Taking taylor expansion of 0 in M 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [taylor]: Taking taylor expansion of 0 in K 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [taylor]: Taking taylor expansion of 0 in M 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) 1/3) into (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) 9.197 * [backup-simplify]: Simplify (cbrt (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.197 * [approximate]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in (m n K M) around 0 9.197 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M 9.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M 9.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M 9.197 * [taylor]: Taking taylor expansion of 1/3 in M 9.198 * [backup-simplify]: Simplify 1/3 into 1/3 9.198 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M 9.198 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.198 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.198 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.198 * [taylor]: Taking taylor expansion of M in M 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 1 into 1 9.198 * [backup-simplify]: Simplify (/ 1 1) into 1 9.198 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.198 * [taylor]: Taking taylor expansion of 1/2 in M 9.198 * [backup-simplify]: Simplify 1/2 into 1/2 9.198 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.198 * [taylor]: Taking taylor expansion of (* m K) in M 9.198 * [taylor]: Taking taylor expansion of m in M 9.198 * [backup-simplify]: Simplify m into m 9.198 * [taylor]: Taking taylor expansion of K in M 9.198 * [backup-simplify]: Simplify K into K 9.198 * [backup-simplify]: Simplify (* m K) into (* m K) 9.198 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.198 * [taylor]: Taking taylor expansion of 1/2 in M 9.198 * [backup-simplify]: Simplify 1/2 into 1/2 9.198 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.198 * [taylor]: Taking taylor expansion of (* K n) in M 9.198 * [taylor]: Taking taylor expansion of K in M 9.198 * [backup-simplify]: Simplify K into K 9.198 * [taylor]: Taking taylor expansion of n in M 9.198 * [backup-simplify]: Simplify n into n 9.198 * [backup-simplify]: Simplify (* K n) into (* K n) 9.198 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.199 * [backup-simplify]: Simplify (+ 1 0) into 1 9.199 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.199 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.199 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.199 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.200 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in K 9.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in K 9.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in K 9.200 * [taylor]: Taking taylor expansion of 1/3 in K 9.200 * [backup-simplify]: Simplify 1/3 into 1/3 9.200 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in K 9.200 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.200 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.200 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.200 * [taylor]: Taking taylor expansion of M in K 9.200 * [backup-simplify]: Simplify M into M 9.200 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.200 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.200 * [taylor]: Taking taylor expansion of 1/2 in K 9.200 * [backup-simplify]: Simplify 1/2 into 1/2 9.200 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.200 * [taylor]: Taking taylor expansion of (* m K) in K 9.200 * [taylor]: Taking taylor expansion of m in K 9.200 * [backup-simplify]: Simplify m into m 9.200 * [taylor]: Taking taylor expansion of K in K 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (* m 0) into 0 9.200 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.200 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.200 * [taylor]: Taking taylor expansion of 1/2 in K 9.200 * [backup-simplify]: Simplify 1/2 into 1/2 9.200 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.200 * [taylor]: Taking taylor expansion of (* K n) in K 9.200 * [taylor]: Taking taylor expansion of K in K 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 1 into 1 9.201 * [taylor]: Taking taylor expansion of n in K 9.201 * [backup-simplify]: Simplify n into n 9.201 * [backup-simplify]: Simplify (* 0 n) into 0 9.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.201 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.201 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.201 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.201 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.201 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.201 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.201 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.202 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.202 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.202 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n 9.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n 9.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n 9.202 * [taylor]: Taking taylor expansion of 1/3 in n 9.202 * [backup-simplify]: Simplify 1/3 into 1/3 9.202 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in n 9.202 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.202 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.202 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.202 * [taylor]: Taking taylor expansion of M in n 9.202 * [backup-simplify]: Simplify M into M 9.202 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.202 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.202 * [taylor]: Taking taylor expansion of 1/2 in n 9.202 * [backup-simplify]: Simplify 1/2 into 1/2 9.202 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.202 * [taylor]: Taking taylor expansion of (* m K) in n 9.202 * [taylor]: Taking taylor expansion of m in n 9.202 * [backup-simplify]: Simplify m into m 9.202 * [taylor]: Taking taylor expansion of K in n 9.202 * [backup-simplify]: Simplify K into K 9.202 * [backup-simplify]: Simplify (* m K) into (* m K) 9.202 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.202 * [taylor]: Taking taylor expansion of 1/2 in n 9.202 * [backup-simplify]: Simplify 1/2 into 1/2 9.202 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.202 * [taylor]: Taking taylor expansion of (* K n) in n 9.202 * [taylor]: Taking taylor expansion of K in n 9.202 * [backup-simplify]: Simplify K into K 9.202 * [taylor]: Taking taylor expansion of n in n 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 1 into 1 9.203 * [backup-simplify]: Simplify (* K 0) into 0 9.203 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.203 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.203 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.203 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.203 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.203 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.203 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.204 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.204 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.204 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m 9.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m 9.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m 9.204 * [taylor]: Taking taylor expansion of 1/3 in m 9.204 * [backup-simplify]: Simplify 1/3 into 1/3 9.204 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m 9.204 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 9.204 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 9.204 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.204 * [taylor]: Taking taylor expansion of M in m 9.204 * [backup-simplify]: Simplify M into M 9.204 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.204 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.204 * [taylor]: Taking taylor expansion of 1/2 in m 9.204 * [backup-simplify]: Simplify 1/2 into 1/2 9.204 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.204 * [taylor]: Taking taylor expansion of (* m K) in m 9.204 * [taylor]: Taking taylor expansion of m in m 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [taylor]: Taking taylor expansion of K in m 9.204 * [backup-simplify]: Simplify K into K 9.204 * [backup-simplify]: Simplify (* 0 K) into 0 9.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.205 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.205 * [taylor]: Taking taylor expansion of 1/2 in m 9.205 * [backup-simplify]: Simplify 1/2 into 1/2 9.205 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.205 * [taylor]: Taking taylor expansion of (* K n) in m 9.205 * [taylor]: Taking taylor expansion of K in m 9.205 * [backup-simplify]: Simplify K into K 9.205 * [taylor]: Taking taylor expansion of n in m 9.205 * [backup-simplify]: Simplify n into n 9.205 * [backup-simplify]: Simplify (* K n) into (* K n) 9.205 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.205 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.205 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.205 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.205 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.205 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.205 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.206 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.206 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m 9.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m 9.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m 9.206 * [taylor]: Taking taylor expansion of 1/3 in m 9.206 * [backup-simplify]: Simplify 1/3 into 1/3 9.206 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m 9.206 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 9.206 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 9.206 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.206 * [taylor]: Taking taylor expansion of M in m 9.206 * [backup-simplify]: Simplify M into M 9.206 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.206 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.206 * [taylor]: Taking taylor expansion of 1/2 in m 9.206 * [backup-simplify]: Simplify 1/2 into 1/2 9.206 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.206 * [taylor]: Taking taylor expansion of (* m K) in m 9.206 * [taylor]: Taking taylor expansion of m in m 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of K in m 9.206 * [backup-simplify]: Simplify K into K 9.206 * [backup-simplify]: Simplify (* 0 K) into 0 9.206 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.206 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.206 * [taylor]: Taking taylor expansion of 1/2 in m 9.206 * [backup-simplify]: Simplify 1/2 into 1/2 9.206 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.207 * [taylor]: Taking taylor expansion of (* K n) in m 9.207 * [taylor]: Taking taylor expansion of K in m 9.207 * [backup-simplify]: Simplify K into K 9.207 * [taylor]: Taking taylor expansion of n in m 9.207 * [backup-simplify]: Simplify n into n 9.207 * [backup-simplify]: Simplify (* K n) into (* K n) 9.207 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.207 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.207 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.207 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.207 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.207 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.207 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.208 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.208 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n 9.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n 9.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n 9.208 * [taylor]: Taking taylor expansion of 1/3 in n 9.208 * [backup-simplify]: Simplify 1/3 into 1/3 9.208 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in n 9.208 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.208 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.208 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.208 * [taylor]: Taking taylor expansion of M in n 9.208 * [backup-simplify]: Simplify M into M 9.208 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.208 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.208 * [taylor]: Taking taylor expansion of 1/2 in n 9.208 * [backup-simplify]: Simplify 1/2 into 1/2 9.208 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.208 * [taylor]: Taking taylor expansion of (* m K) in n 9.208 * [taylor]: Taking taylor expansion of m in n 9.208 * [backup-simplify]: Simplify m into m 9.208 * [taylor]: Taking taylor expansion of K in n 9.208 * [backup-simplify]: Simplify K into K 9.208 * [backup-simplify]: Simplify (* m K) into (* m K) 9.208 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.208 * [taylor]: Taking taylor expansion of 1/2 in n 9.208 * [backup-simplify]: Simplify 1/2 into 1/2 9.208 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.208 * [taylor]: Taking taylor expansion of (* K n) in n 9.208 * [taylor]: Taking taylor expansion of K in n 9.208 * [backup-simplify]: Simplify K into K 9.208 * [taylor]: Taking taylor expansion of n in n 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify (* K 0) into 0 9.209 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.209 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.209 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.209 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.209 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.209 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.209 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.209 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.209 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.210 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in K 9.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in K 9.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in K 9.210 * [taylor]: Taking taylor expansion of 1/3 in K 9.210 * [backup-simplify]: Simplify 1/3 into 1/3 9.210 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in K 9.210 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.210 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.210 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.210 * [taylor]: Taking taylor expansion of M in K 9.210 * [backup-simplify]: Simplify M into M 9.210 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.210 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.210 * [taylor]: Taking taylor expansion of 1/2 in K 9.210 * [backup-simplify]: Simplify 1/2 into 1/2 9.210 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.210 * [taylor]: Taking taylor expansion of (* m K) in K 9.210 * [taylor]: Taking taylor expansion of m in K 9.210 * [backup-simplify]: Simplify m into m 9.210 * [taylor]: Taking taylor expansion of K in K 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 1 into 1 9.210 * [backup-simplify]: Simplify (* m 0) into 0 9.210 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.210 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.210 * [taylor]: Taking taylor expansion of 1/2 in K 9.210 * [backup-simplify]: Simplify 1/2 into 1/2 9.210 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.210 * [taylor]: Taking taylor expansion of (* K n) in K 9.210 * [taylor]: Taking taylor expansion of K in K 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 1 into 1 9.210 * [taylor]: Taking taylor expansion of n in K 9.210 * [backup-simplify]: Simplify n into n 9.210 * [backup-simplify]: Simplify (* 0 n) into 0 9.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.211 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.211 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.211 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.211 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.211 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.211 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.211 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.212 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.212 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.212 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M 9.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M 9.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M 9.212 * [taylor]: Taking taylor expansion of 1/3 in M 9.212 * [backup-simplify]: Simplify 1/3 into 1/3 9.212 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M 9.212 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.212 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.212 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.212 * [taylor]: Taking taylor expansion of M in M 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 1 into 1 9.212 * [backup-simplify]: Simplify (/ 1 1) into 1 9.212 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.212 * [taylor]: Taking taylor expansion of 1/2 in M 9.212 * [backup-simplify]: Simplify 1/2 into 1/2 9.212 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.212 * [taylor]: Taking taylor expansion of (* m K) in M 9.212 * [taylor]: Taking taylor expansion of m in M 9.212 * [backup-simplify]: Simplify m into m 9.212 * [taylor]: Taking taylor expansion of K in M 9.212 * [backup-simplify]: Simplify K into K 9.212 * [backup-simplify]: Simplify (* m K) into (* m K) 9.212 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.212 * [taylor]: Taking taylor expansion of 1/2 in M 9.213 * [backup-simplify]: Simplify 1/2 into 1/2 9.213 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.213 * [taylor]: Taking taylor expansion of (* K n) in M 9.213 * [taylor]: Taking taylor expansion of K in M 9.213 * [backup-simplify]: Simplify K into K 9.213 * [taylor]: Taking taylor expansion of n in M 9.213 * [backup-simplify]: Simplify n into n 9.213 * [backup-simplify]: Simplify (* K n) into (* K n) 9.213 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.213 * [backup-simplify]: Simplify (+ 1 0) into 1 9.213 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.213 * [backup-simplify]: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) 9.213 * [backup-simplify]: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) 9.214 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.214 * [backup-simplify]: Simplify (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 9.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.216 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.216 * [taylor]: Taking taylor expansion of 0 in n 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [taylor]: Taking taylor expansion of 0 in K 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [taylor]: Taking taylor expansion of 0 in M 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.218 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.218 * [taylor]: Taking taylor expansion of 0 in K 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [taylor]: Taking taylor expansion of 0 in M 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 9.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.220 * [taylor]: Taking taylor expansion of 0 in M 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 9.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.222 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 2) into 0 9.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))))) into 0 9.226 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.226 * [taylor]: Taking taylor expansion of 0 in n 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [taylor]: Taking taylor expansion of 0 in K 9.226 * [backup-simplify]: Simplify 0 into 0 9.227 * [taylor]: Taking taylor expansion of 0 in M 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [taylor]: Taking taylor expansion of 0 in K 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [taylor]: Taking taylor expansion of 0 in M 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (pow (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) 1/3) into (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) 9.227 * * * [progress]: simplifying candidates 9.227 * * * * [progress]: [ 1 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 2 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 3 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 4 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 5 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 6 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 7 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 8 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 9 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 10 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 11 / 57 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 9.228 * * * * [progress]: [ 12 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 13 / 57 ] simplifiying candidate # 9.228 * * * * [progress]: [ 14 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 15 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 16 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 17 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 18 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 19 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 20 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 21 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 22 / 57 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 9.229 * * * * [progress]: [ 23 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 24 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 25 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 26 / 57 ] simplifiying candidate # 9.229 * * * * [progress]: [ 27 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 28 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 29 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 30 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 31 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 32 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 33 / 57 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 9.230 * * * * [progress]: [ 34 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 35 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 36 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 37 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 38 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 39 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 40 / 57 ] simplifiying candidate # 9.230 * * * * [progress]: [ 41 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 42 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 43 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 44 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 45 / 57 ] simplifiying candidate #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 9.231 * * * * [progress]: [ 46 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 47 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 48 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 49 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 50 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 51 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 52 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 53 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 54 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 55 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 56 / 57 ] simplifiying candidate # 9.231 * * * * [progress]: [ 57 / 57 ] simplifiying candidate # 9.233 * [simplify]: Simplifying: (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (log (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (exp (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (sqrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (sqrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt 1) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cbrt (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (* (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (sqrt (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (sqrt (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) 9.234 * * [simplify]: iteration 0: 50 enodes 9.251 * * [simplify]: iteration 1: 83 enodes 9.269 * * [simplify]: iteration 2: 117 enodes 9.300 * * [simplify]: iteration 3: 167 enodes 9.336 * * [simplify]: iteration 4: 276 enodes 9.417 * * [simplify]: iteration 5: 510 enodes 9.631 * * [simplify]: iteration 6: 1207 enodes 9.903 * * [simplify]: iteration 7: 2000 enodes 10.300 * * [simplify]: iteration complete: 2000 enodes 10.300 * * [simplify]: Extracting #0: cost 22 inf + 0 10.300 * * [simplify]: Extracting #1: cost 131 inf + 1 10.302 * * [simplify]: Extracting #2: cost 417 inf + 47 10.305 * * [simplify]: Extracting #3: cost 525 inf + 786 10.310 * * [simplify]: Extracting #4: cost 545 inf + 4379 10.318 * * [simplify]: Extracting #5: cost 469 inf + 27423 10.347 * * [simplify]: Extracting #6: cost 273 inf + 136077 10.404 * * [simplify]: Extracting #7: cost 34 inf + 348797 10.449 * * [simplify]: Extracting #8: cost 0 inf + 379749 10.495 * * [simplify]: Extracting #9: cost 0 inf + 379447 10.546 * [simplify]: Simplified to: (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (- M)) (sin (/ K (/ 2 (+ n m))))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (- M)) (sin (/ K (/ 2 (+ n m))))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (/ K (/ 2 (+ n m)))) (sin M)) (log (cos (- (/ K (/ 2 (+ n m))) M))) (exp (cos (- (/ K (/ 2 (+ n m))) M))) (* (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (* (* (cos (- (/ K (/ 2 (+ n m))) M)) (cos (- (/ K (/ 2 (+ n m))) M))) (cos (- (/ K (/ 2 (+ n m))) M))) (sqrt (cos (- (/ K (/ 2 (+ n m))) M))) (sqrt (cos (- (/ K (/ 2 (+ n m))) M))) (real->posit16 (cos (- (/ K (/ 2 (+ n m))) M))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (- M)) (sin (/ K (/ 2 (+ n m))))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (- M)) (sin (/ K (/ 2 (+ n m))))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (/ K (/ 2 (+ n m)))) (sin M)) (log (cos (- (/ K (/ 2 (+ n m))) M))) (exp (cos (- (/ K (/ 2 (+ n m))) M))) (* (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (* (* (cos (- (/ K (/ 2 (+ n m))) M)) (cos (- (/ K (/ 2 (+ n m))) M))) (cos (- (/ K (/ 2 (+ n m))) M))) (sqrt (cos (- (/ K (/ 2 (+ n m))) M))) (sqrt (cos (- (/ K (/ 2 (+ n m))) M))) (real->posit16 (cos (- (/ K (/ 2 (+ n m))) M))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (- M)) (sin (/ K (/ 2 (+ n m))))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (- M)) (sin (/ K (/ 2 (+ n m))))) (* (cos (/ K (/ 2 (+ n m)))) (cos M)) (* (sin (/ K (/ 2 (+ n m)))) (sin M)) (log (cos (- (/ K (/ 2 (+ n m))) M))) (exp (cos (- (/ K (/ 2 (+ n m))) M))) (* (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (* (* (cos (- (/ K (/ 2 (+ n m))) M)) (cos (- (/ K (/ 2 (+ n m))) M))) (cos (- (/ K (/ 2 (+ n m))) M))) (sqrt (cos (- (/ K (/ 2 (+ n m))) M))) (sqrt (cos (- (/ K (/ 2 (+ n m))) M))) (real->posit16 (cos (- (/ K (/ 2 (+ n m))) M))) (log (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (exp (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (* (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (cbrt (cos (- (/ K (/ 2 (+ n m))) M))))) (cbrt (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (sqrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (sqrt (cos (- (/ K (/ 2 (+ n m))) M)))) 1 (cbrt (cos (- (/ K (/ 2 (+ n m))) M))) (* (cbrt (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cbrt (cbrt (cos (- (/ K (/ 2 (+ n m))) M))))) (cbrt (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (cos (- (/ K (/ 2 (+ n m))) M)) (sqrt (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (sqrt (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) (real->posit16 (cbrt (cos (- (/ K (/ 2 (+ n m))) M)))) 1 (cos (- (* (* (+ n m) K) 1/2) M)) (cos (- (* (* (+ n m) K) 1/2) M)) 1 (cos (- (* (* (+ n m) K) 1/2) M)) (cos (- (* (* (+ n m) K) 1/2) M)) 1 (cos (- (* (* (+ n m) K) 1/2) M)) (cos (- (* (* (+ n m) K) 1/2) M)) 1 (cbrt (cos (- (* (* (+ n m) K) 1/2) M))) (cbrt (cos (- (* (* (+ n m) K) 1/2) M))) 10.561 * * * [progress]: adding candidates to table 11.678 * * [progress]: iteration 4 / 4 11.679 * * * [progress]: picking best candidate 11.730 * * * * [pick]: Picked # 11.730 * * * [progress]: localizing error 11.791 * * * [progress]: generating rewritten candidates 11.791 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.846 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 11.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2) 11.860 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 11.867 * * * [progress]: generating series expansions 11.867 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 11.867 * [backup-simplify]: Simplify (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 11.867 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 11.867 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 11.867 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 11.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 11.867 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 11.867 * [taylor]: Taking taylor expansion of 1/2 in M 11.867 * [backup-simplify]: Simplify 1/2 into 1/2 11.867 * [taylor]: Taking taylor expansion of (* K n) in M 11.867 * [taylor]: Taking taylor expansion of K in M 11.867 * [backup-simplify]: Simplify K into K 11.867 * [taylor]: Taking taylor expansion of n in M 11.867 * [backup-simplify]: Simplify n into n 11.867 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 11.867 * [taylor]: Taking taylor expansion of 1/2 in M 11.867 * [backup-simplify]: Simplify 1/2 into 1/2 11.867 * [taylor]: Taking taylor expansion of (* K m) in M 11.867 * [taylor]: Taking taylor expansion of K in M 11.867 * [backup-simplify]: Simplify K into K 11.867 * [taylor]: Taking taylor expansion of m in M 11.868 * [backup-simplify]: Simplify m into m 11.868 * [taylor]: Taking taylor expansion of M in M 11.868 * [backup-simplify]: Simplify 0 into 0 11.868 * [backup-simplify]: Simplify 1 into 1 11.868 * [backup-simplify]: Simplify (* K n) into (* K n) 11.868 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 11.868 * [backup-simplify]: Simplify (* K m) into (* K m) 11.868 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 11.868 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 11.868 * [backup-simplify]: Simplify (- 0) into 0 11.868 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 11.869 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 11.869 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 11.869 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 11.869 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 11.869 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 11.869 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 11.869 * [taylor]: Taking taylor expansion of 1/2 in K 11.869 * [backup-simplify]: Simplify 1/2 into 1/2 11.869 * [taylor]: Taking taylor expansion of (* K n) in K 11.869 * [taylor]: Taking taylor expansion of K in K 11.869 * [backup-simplify]: Simplify 0 into 0 11.869 * [backup-simplify]: Simplify 1 into 1 11.869 * [taylor]: Taking taylor expansion of n in K 11.869 * [backup-simplify]: Simplify n into n 11.869 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 11.869 * [taylor]: Taking taylor expansion of 1/2 in K 11.869 * [backup-simplify]: Simplify 1/2 into 1/2 11.869 * [taylor]: Taking taylor expansion of (* K m) in K 11.869 * [taylor]: Taking taylor expansion of K in K 11.869 * [backup-simplify]: Simplify 0 into 0 11.869 * [backup-simplify]: Simplify 1 into 1 11.869 * [taylor]: Taking taylor expansion of m in K 11.869 * [backup-simplify]: Simplify m into m 11.869 * [taylor]: Taking taylor expansion of M in K 11.869 * [backup-simplify]: Simplify M into M 11.869 * [backup-simplify]: Simplify (* 0 n) into 0 11.869 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.869 * [backup-simplify]: Simplify (* 0 m) into 0 11.870 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.870 * [backup-simplify]: Simplify (+ 0 0) into 0 11.870 * [backup-simplify]: Simplify (- M) into (- M) 11.870 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 11.870 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.870 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.870 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 11.870 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 11.870 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 11.870 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 11.870 * [taylor]: Taking taylor expansion of 1/2 in n 11.870 * [backup-simplify]: Simplify 1/2 into 1/2 11.870 * [taylor]: Taking taylor expansion of (* K n) in n 11.870 * [taylor]: Taking taylor expansion of K in n 11.870 * [backup-simplify]: Simplify K into K 11.870 * [taylor]: Taking taylor expansion of n in n 11.870 * [backup-simplify]: Simplify 0 into 0 11.870 * [backup-simplify]: Simplify 1 into 1 11.870 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 11.870 * [taylor]: Taking taylor expansion of 1/2 in n 11.870 * [backup-simplify]: Simplify 1/2 into 1/2 11.870 * [taylor]: Taking taylor expansion of (* K m) in n 11.870 * [taylor]: Taking taylor expansion of K in n 11.870 * [backup-simplify]: Simplify K into K 11.870 * [taylor]: Taking taylor expansion of m in n 11.870 * [backup-simplify]: Simplify m into m 11.870 * [taylor]: Taking taylor expansion of M in n 11.870 * [backup-simplify]: Simplify M into M 11.870 * [backup-simplify]: Simplify (* K 0) into 0 11.871 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.871 * [backup-simplify]: Simplify (* K m) into (* K m) 11.871 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 11.871 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 11.871 * [backup-simplify]: Simplify (- M) into (- M) 11.871 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 11.871 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 11.871 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 11.871 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 11.871 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 11.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 11.871 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 11.871 * [taylor]: Taking taylor expansion of 1/2 in m 11.871 * [backup-simplify]: Simplify 1/2 into 1/2 11.871 * [taylor]: Taking taylor expansion of (* K n) in m 11.871 * [taylor]: Taking taylor expansion of K in m 11.871 * [backup-simplify]: Simplify K into K 11.871 * [taylor]: Taking taylor expansion of n in m 11.871 * [backup-simplify]: Simplify n into n 11.872 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 11.872 * [taylor]: Taking taylor expansion of 1/2 in m 11.872 * [backup-simplify]: Simplify 1/2 into 1/2 11.872 * [taylor]: Taking taylor expansion of (* K m) in m 11.872 * [taylor]: Taking taylor expansion of K in m 11.872 * [backup-simplify]: Simplify K into K 11.872 * [taylor]: Taking taylor expansion of m in m 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify 1 into 1 11.872 * [taylor]: Taking taylor expansion of M in m 11.872 * [backup-simplify]: Simplify M into M 11.872 * [backup-simplify]: Simplify (* K n) into (* K n) 11.872 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 11.872 * [backup-simplify]: Simplify (* K 0) into 0 11.872 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.872 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 11.872 * [backup-simplify]: Simplify (- M) into (- M) 11.872 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 11.872 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 11.872 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 11.872 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 11.872 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 11.872 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 11.872 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 11.872 * [taylor]: Taking taylor expansion of 1/2 in m 11.872 * [backup-simplify]: Simplify 1/2 into 1/2 11.873 * [taylor]: Taking taylor expansion of (* K n) in m 11.873 * [taylor]: Taking taylor expansion of K in m 11.873 * [backup-simplify]: Simplify K into K 11.873 * [taylor]: Taking taylor expansion of n in m 11.873 * [backup-simplify]: Simplify n into n 11.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 11.873 * [taylor]: Taking taylor expansion of 1/2 in m 11.873 * [backup-simplify]: Simplify 1/2 into 1/2 11.873 * [taylor]: Taking taylor expansion of (* K m) in m 11.873 * [taylor]: Taking taylor expansion of K in m 11.873 * [backup-simplify]: Simplify K into K 11.873 * [taylor]: Taking taylor expansion of m in m 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 1 into 1 11.873 * [taylor]: Taking taylor expansion of M in m 11.873 * [backup-simplify]: Simplify M into M 11.873 * [backup-simplify]: Simplify (* K n) into (* K n) 11.873 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 11.873 * [backup-simplify]: Simplify (* K 0) into 0 11.873 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.873 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 11.873 * [backup-simplify]: Simplify (- M) into (- M) 11.874 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 11.874 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 11.874 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 11.874 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 11.874 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 11.875 * [backup-simplify]: Simplify (- 0) into 0 11.875 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 11.875 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 11.875 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 11.875 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 11.875 * [taylor]: Taking taylor expansion of 1/2 in n 11.875 * [backup-simplify]: Simplify 1/2 into 1/2 11.875 * [taylor]: Taking taylor expansion of (* K n) in n 11.875 * [taylor]: Taking taylor expansion of K in n 11.875 * [backup-simplify]: Simplify K into K 11.875 * [taylor]: Taking taylor expansion of n in n 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 1 into 1 11.875 * [taylor]: Taking taylor expansion of M in n 11.875 * [backup-simplify]: Simplify M into M 11.875 * [backup-simplify]: Simplify (* K 0) into 0 11.876 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.876 * [backup-simplify]: Simplify (- M) into (- M) 11.876 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 11.876 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.876 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.876 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 11.876 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 11.876 * [backup-simplify]: Simplify (- 0) into 0 11.876 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 11.876 * [taylor]: Taking taylor expansion of (cos (- M)) in K 11.877 * [taylor]: Taking taylor expansion of (- M) in K 11.877 * [taylor]: Taking taylor expansion of M in K 11.877 * [backup-simplify]: Simplify M into M 11.877 * [backup-simplify]: Simplify (- M) into (- M) 11.877 * [backup-simplify]: Simplify (- M) into (- M) 11.877 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.877 * [backup-simplify]: Simplify (- M) into (- M) 11.877 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.877 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 11.877 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 11.877 * [backup-simplify]: Simplify (- 0) into 0 11.877 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 11.877 * [taylor]: Taking taylor expansion of (cos (- M)) in M 11.877 * [taylor]: Taking taylor expansion of (- M) in M 11.877 * [taylor]: Taking taylor expansion of M in M 11.878 * [backup-simplify]: Simplify 0 into 0 11.878 * [backup-simplify]: Simplify 1 into 1 11.878 * [backup-simplify]: Simplify (- 0) into 0 11.878 * [backup-simplify]: Simplify (- 1) into -1 11.878 * [backup-simplify]: Simplify 1 into 1 11.879 * [backup-simplify]: Simplify (+ 0) into 0 11.879 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 11.879 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 11.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 11.880 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.881 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 11.881 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 11.881 * [backup-simplify]: Simplify (- 0) into 0 11.881 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 11.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 11.881 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 11.882 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 11.882 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 11.882 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 11.882 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 11.882 * [taylor]: Taking taylor expansion of 1/2 in n 11.882 * [backup-simplify]: Simplify 1/2 into 1/2 11.882 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 11.882 * [taylor]: Taking taylor expansion of K in n 11.882 * [backup-simplify]: Simplify K into K 11.882 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 11.882 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 11.882 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 11.882 * [taylor]: Taking taylor expansion of 1/2 in n 11.882 * [backup-simplify]: Simplify 1/2 into 1/2 11.882 * [taylor]: Taking taylor expansion of (* K n) in n 11.882 * [taylor]: Taking taylor expansion of K in n 11.882 * [backup-simplify]: Simplify K into K 11.882 * [taylor]: Taking taylor expansion of n in n 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 1 into 1 11.882 * [taylor]: Taking taylor expansion of M in n 11.882 * [backup-simplify]: Simplify M into M 11.882 * [backup-simplify]: Simplify (* K 0) into 0 11.882 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.882 * [backup-simplify]: Simplify (- M) into (- M) 11.882 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 11.882 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.882 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.882 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 11.883 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 11.883 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 11.883 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 11.883 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 11.883 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 11.883 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 11.883 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 11.883 * [taylor]: Taking taylor expansion of 1/2 in K 11.883 * [backup-simplify]: Simplify 1/2 into 1/2 11.883 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 11.883 * [taylor]: Taking taylor expansion of K in K 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 1 into 1 11.883 * [taylor]: Taking taylor expansion of (sin (- M)) in K 11.883 * [taylor]: Taking taylor expansion of (- M) in K 11.883 * [taylor]: Taking taylor expansion of M in K 11.883 * [backup-simplify]: Simplify M into M 11.883 * [backup-simplify]: Simplify (- M) into (- M) 11.883 * [backup-simplify]: Simplify (- M) into (- M) 11.883 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.883 * [backup-simplify]: Simplify (- M) into (- M) 11.883 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.883 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 11.883 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 11.884 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 11.884 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 11.884 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.884 * [backup-simplify]: Simplify (- 0) into 0 11.884 * [taylor]: Taking taylor expansion of 0 in M 11.884 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify 0 into 0 11.885 * [backup-simplify]: Simplify (+ 0) into 0 11.885 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 11.886 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.886 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 11.886 * [backup-simplify]: Simplify (- 0) into 0 11.887 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 11.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 11.887 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 11.887 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 11.887 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 11.887 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 11.888 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 11.888 * [taylor]: Taking taylor expansion of 1/2 in K 11.888 * [backup-simplify]: Simplify 1/2 into 1/2 11.888 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 11.888 * [taylor]: Taking taylor expansion of K in K 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 1 into 1 11.888 * [taylor]: Taking taylor expansion of (sin (- M)) in K 11.888 * [taylor]: Taking taylor expansion of (- M) in K 11.888 * [taylor]: Taking taylor expansion of M in K 11.888 * [backup-simplify]: Simplify M into M 11.888 * [backup-simplify]: Simplify (- M) into (- M) 11.888 * [backup-simplify]: Simplify (- M) into (- M) 11.888 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.888 * [backup-simplify]: Simplify (- M) into (- M) 11.888 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.888 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 11.888 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 11.888 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 11.888 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 11.889 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.889 * [backup-simplify]: Simplify (- 0) into 0 11.889 * [taylor]: Taking taylor expansion of 0 in M 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.890 * [backup-simplify]: Simplify (+ 0) into 0 11.890 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 11.890 * [backup-simplify]: Simplify (- 0) into 0 11.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.892 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 11.892 * [backup-simplify]: Simplify (- 0) into 0 11.892 * [backup-simplify]: Simplify (+ 0 0) into 0 11.892 * [taylor]: Taking taylor expansion of 0 in M 11.892 * [backup-simplify]: Simplify 0 into 0 11.892 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (+ 0) into 0 11.893 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 11.894 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 11.895 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 11.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 11.896 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 11.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 11.897 * [backup-simplify]: Simplify (+ 0 0) into 0 11.898 * [backup-simplify]: Simplify (- 0) into 0 11.898 * [backup-simplify]: Simplify (+ 0 0) into 0 11.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.899 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 11.899 * [backup-simplify]: Simplify (- 0) into 0 11.900 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 11.900 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 11.900 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 11.900 * [taylor]: Taking taylor expansion of 1/8 in n 11.900 * [backup-simplify]: Simplify 1/8 into 1/8 11.900 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 11.900 * [taylor]: Taking taylor expansion of (pow K 2) in n 11.900 * [taylor]: Taking taylor expansion of K in n 11.900 * [backup-simplify]: Simplify K into K 11.900 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 11.900 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 11.900 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 11.900 * [taylor]: Taking taylor expansion of 1/2 in n 11.900 * [backup-simplify]: Simplify 1/2 into 1/2 11.900 * [taylor]: Taking taylor expansion of (* K n) in n 11.900 * [taylor]: Taking taylor expansion of K in n 11.900 * [backup-simplify]: Simplify K into K 11.900 * [taylor]: Taking taylor expansion of n in n 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 1 into 1 11.900 * [taylor]: Taking taylor expansion of M in n 11.900 * [backup-simplify]: Simplify M into M 11.900 * [backup-simplify]: Simplify (* K 0) into 0 11.901 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.901 * [backup-simplify]: Simplify (- M) into (- M) 11.901 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 11.901 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.901 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.901 * [backup-simplify]: Simplify (* K K) into (pow K 2) 11.901 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 11.901 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 11.902 * [backup-simplify]: Simplify (- 0) into 0 11.902 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 11.902 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 11.902 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 11.902 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 11.902 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 11.902 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 11.902 * [taylor]: Taking taylor expansion of 1/8 in K 11.902 * [backup-simplify]: Simplify 1/8 into 1/8 11.902 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 11.902 * [taylor]: Taking taylor expansion of (pow K 2) in K 11.902 * [taylor]: Taking taylor expansion of K in K 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [taylor]: Taking taylor expansion of (cos (- M)) in K 11.903 * [taylor]: Taking taylor expansion of (- M) in K 11.903 * [taylor]: Taking taylor expansion of M in K 11.903 * [backup-simplify]: Simplify M into M 11.903 * [backup-simplify]: Simplify (- M) into (- M) 11.903 * [backup-simplify]: Simplify (- M) into (- M) 11.903 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.903 * [backup-simplify]: Simplify (- M) into (- M) 11.903 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.903 * [backup-simplify]: Simplify (+ 0) into 0 11.904 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 11.904 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.904 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 11.905 * [backup-simplify]: Simplify (- 0) into 0 11.905 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 11.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 11.905 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 11.905 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 11.905 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 11.905 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 11.906 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 11.906 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 11.906 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 11.906 * [taylor]: Taking taylor expansion of 1/4 in K 11.906 * [backup-simplify]: Simplify 1/4 into 1/4 11.906 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 11.906 * [taylor]: Taking taylor expansion of (pow K 2) in K 11.906 * [taylor]: Taking taylor expansion of K in K 11.906 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify 1 into 1 11.906 * [taylor]: Taking taylor expansion of (cos (- M)) in K 11.906 * [taylor]: Taking taylor expansion of (- M) in K 11.906 * [taylor]: Taking taylor expansion of M in K 11.906 * [backup-simplify]: Simplify M into M 11.906 * [backup-simplify]: Simplify (- M) into (- M) 11.906 * [backup-simplify]: Simplify (- M) into (- M) 11.906 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.906 * [backup-simplify]: Simplify (- M) into (- M) 11.906 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 11.909 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 11.909 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 11.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 11.910 * [backup-simplify]: Simplify (- 0) into 0 11.910 * [backup-simplify]: Simplify (+ 0 0) into 0 11.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.911 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 11.911 * [backup-simplify]: Simplify (- 0) into 0 11.912 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 11.912 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 11.912 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 11.912 * [taylor]: Taking taylor expansion of 1/8 in K 11.912 * [backup-simplify]: Simplify 1/8 into 1/8 11.912 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 11.912 * [taylor]: Taking taylor expansion of (pow K 2) in K 11.912 * [taylor]: Taking taylor expansion of K in K 11.912 * [backup-simplify]: Simplify 0 into 0 11.912 * [backup-simplify]: Simplify 1 into 1 11.912 * [taylor]: Taking taylor expansion of (cos (- M)) in K 11.912 * [taylor]: Taking taylor expansion of (- M) in K 11.912 * [taylor]: Taking taylor expansion of M in K 11.912 * [backup-simplify]: Simplify M into M 11.912 * [backup-simplify]: Simplify (- M) into (- M) 11.912 * [backup-simplify]: Simplify (- M) into (- M) 11.912 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 11.912 * [backup-simplify]: Simplify (- M) into (- M) 11.912 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 11.912 * [backup-simplify]: Simplify (+ 0) into 0 11.913 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 11.913 * [backup-simplify]: Simplify (- 0) into 0 11.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.913 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 11.914 * [backup-simplify]: Simplify (+ 0 0) into 0 11.914 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 11.914 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 11.914 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 11.914 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 11.914 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 11.914 * [taylor]: Taking taylor expansion of 1/2 in M 11.914 * [backup-simplify]: Simplify 1/2 into 1/2 11.914 * [taylor]: Taking taylor expansion of (sin (- M)) in M 11.914 * [taylor]: Taking taylor expansion of (- M) in M 11.914 * [taylor]: Taking taylor expansion of M in M 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [backup-simplify]: Simplify 1 into 1 11.915 * [backup-simplify]: Simplify (- 0) into 0 11.915 * [backup-simplify]: Simplify (- 1) into -1 11.915 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.915 * [backup-simplify]: Simplify (- 0) into 0 11.915 * [backup-simplify]: Simplify 0 into 0 11.916 * [backup-simplify]: Simplify (+ 0) into 0 11.916 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 11.916 * [backup-simplify]: Simplify (- 0) into 0 11.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.917 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 11.917 * [backup-simplify]: Simplify (+ 0 0) into 0 11.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 11.918 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 11.918 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 11.918 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 11.918 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 11.918 * [taylor]: Taking taylor expansion of 1/2 in M 11.918 * [backup-simplify]: Simplify 1/2 into 1/2 11.918 * [taylor]: Taking taylor expansion of (sin (- M)) in M 11.918 * [taylor]: Taking taylor expansion of (- M) in M 11.918 * [taylor]: Taking taylor expansion of M in M 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify 1 into 1 11.918 * [backup-simplify]: Simplify (- 0) into 0 11.918 * [backup-simplify]: Simplify (- 1) into -1 11.919 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.919 * [backup-simplify]: Simplify (- 0) into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify 1 into 1 11.919 * [backup-simplify]: Simplify (cos (- (/ (* (* (cbrt (* (+ (/ 1 m) (/ 1 n)) (/ 1 K))) (cbrt (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)))) (cbrt (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.919 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 11.919 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 11.919 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 11.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 11.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 11.920 * [taylor]: Taking taylor expansion of 1/2 in M 11.920 * [backup-simplify]: Simplify 1/2 into 1/2 11.920 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 11.920 * [taylor]: Taking taylor expansion of (* m K) in M 11.920 * [taylor]: Taking taylor expansion of m in M 11.920 * [backup-simplify]: Simplify m into m 11.920 * [taylor]: Taking taylor expansion of K in M 11.920 * [backup-simplify]: Simplify K into K 11.920 * [backup-simplify]: Simplify (* m K) into (* m K) 11.920 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 11.920 * [taylor]: Taking taylor expansion of 1/2 in M 11.920 * [backup-simplify]: Simplify 1/2 into 1/2 11.920 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 11.920 * [taylor]: Taking taylor expansion of (* K n) in M 11.920 * [taylor]: Taking taylor expansion of K in M 11.920 * [backup-simplify]: Simplify K into K 11.920 * [taylor]: Taking taylor expansion of n in M 11.920 * [backup-simplify]: Simplify n into n 11.920 * [backup-simplify]: Simplify (* K n) into (* K n) 11.920 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.920 * [taylor]: Taking taylor expansion of (/ 1 M) in M 11.920 * [taylor]: Taking taylor expansion of M in M 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 1 into 1 11.920 * [backup-simplify]: Simplify (/ 1 1) into 1 11.920 * [backup-simplify]: Simplify (- 1) into -1 11.921 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.921 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.921 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 11.921 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 11.921 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 11.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 11.921 * [taylor]: Taking taylor expansion of 1/2 in K 11.921 * [backup-simplify]: Simplify 1/2 into 1/2 11.921 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 11.921 * [taylor]: Taking taylor expansion of (* m K) in K 11.921 * [taylor]: Taking taylor expansion of m in K 11.921 * [backup-simplify]: Simplify m into m 11.921 * [taylor]: Taking taylor expansion of K in K 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [backup-simplify]: Simplify 1 into 1 11.921 * [backup-simplify]: Simplify (* m 0) into 0 11.921 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 11.921 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 11.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 11.922 * [taylor]: Taking taylor expansion of 1/2 in K 11.922 * [backup-simplify]: Simplify 1/2 into 1/2 11.922 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 11.922 * [taylor]: Taking taylor expansion of (* K n) in K 11.922 * [taylor]: Taking taylor expansion of K in K 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 1 into 1 11.922 * [taylor]: Taking taylor expansion of n in K 11.922 * [backup-simplify]: Simplify n into n 11.922 * [backup-simplify]: Simplify (* 0 n) into 0 11.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 11.922 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.922 * [taylor]: Taking taylor expansion of (/ 1 M) in K 11.922 * [taylor]: Taking taylor expansion of M in K 11.922 * [backup-simplify]: Simplify M into M 11.922 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.922 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 11.922 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 11.922 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.922 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.922 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.922 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 11.923 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 11.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 11.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 11.923 * [taylor]: Taking taylor expansion of 1/2 in n 11.923 * [backup-simplify]: Simplify 1/2 into 1/2 11.923 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 11.923 * [taylor]: Taking taylor expansion of (* m K) in n 11.923 * [taylor]: Taking taylor expansion of m in n 11.923 * [backup-simplify]: Simplify m into m 11.923 * [taylor]: Taking taylor expansion of K in n 11.923 * [backup-simplify]: Simplify K into K 11.923 * [backup-simplify]: Simplify (* m K) into (* m K) 11.923 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 11.923 * [taylor]: Taking taylor expansion of 1/2 in n 11.923 * [backup-simplify]: Simplify 1/2 into 1/2 11.923 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 11.923 * [taylor]: Taking taylor expansion of (* K n) in n 11.923 * [taylor]: Taking taylor expansion of K in n 11.923 * [backup-simplify]: Simplify K into K 11.923 * [taylor]: Taking taylor expansion of n in n 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [backup-simplify]: Simplify (* K 0) into 0 11.923 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.923 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.923 * [taylor]: Taking taylor expansion of (/ 1 M) in n 11.923 * [taylor]: Taking taylor expansion of M in n 11.923 * [backup-simplify]: Simplify M into M 11.923 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.923 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.923 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 11.923 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 11.924 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.924 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 11.924 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 11.924 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 11.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 11.924 * [taylor]: Taking taylor expansion of 1/2 in m 11.924 * [backup-simplify]: Simplify 1/2 into 1/2 11.924 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 11.924 * [taylor]: Taking taylor expansion of (* m K) in m 11.924 * [taylor]: Taking taylor expansion of m in m 11.924 * [backup-simplify]: Simplify 0 into 0 11.924 * [backup-simplify]: Simplify 1 into 1 11.924 * [taylor]: Taking taylor expansion of K in m 11.924 * [backup-simplify]: Simplify K into K 11.924 * [backup-simplify]: Simplify (* 0 K) into 0 11.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 11.924 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 11.924 * [taylor]: Taking taylor expansion of 1/2 in m 11.924 * [backup-simplify]: Simplify 1/2 into 1/2 11.924 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 11.924 * [taylor]: Taking taylor expansion of (* K n) in m 11.924 * [taylor]: Taking taylor expansion of K in m 11.924 * [backup-simplify]: Simplify K into K 11.924 * [taylor]: Taking taylor expansion of n in m 11.924 * [backup-simplify]: Simplify n into n 11.924 * [backup-simplify]: Simplify (* K n) into (* K n) 11.924 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.924 * [taylor]: Taking taylor expansion of (/ 1 M) in m 11.924 * [taylor]: Taking taylor expansion of M in m 11.924 * [backup-simplify]: Simplify M into M 11.924 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.925 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.925 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 11.925 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 11.925 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.925 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 11.925 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 11.925 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 11.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 11.925 * [taylor]: Taking taylor expansion of 1/2 in m 11.925 * [backup-simplify]: Simplify 1/2 into 1/2 11.925 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 11.925 * [taylor]: Taking taylor expansion of (* m K) in m 11.925 * [taylor]: Taking taylor expansion of m in m 11.925 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify 1 into 1 11.925 * [taylor]: Taking taylor expansion of K in m 11.925 * [backup-simplify]: Simplify K into K 11.925 * [backup-simplify]: Simplify (* 0 K) into 0 11.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 11.925 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 11.925 * [taylor]: Taking taylor expansion of 1/2 in m 11.925 * [backup-simplify]: Simplify 1/2 into 1/2 11.925 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 11.925 * [taylor]: Taking taylor expansion of (* K n) in m 11.925 * [taylor]: Taking taylor expansion of K in m 11.925 * [backup-simplify]: Simplify K into K 11.925 * [taylor]: Taking taylor expansion of n in m 11.925 * [backup-simplify]: Simplify n into n 11.926 * [backup-simplify]: Simplify (* K n) into (* K n) 11.926 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.926 * [taylor]: Taking taylor expansion of (/ 1 M) in m 11.926 * [taylor]: Taking taylor expansion of M in m 11.926 * [backup-simplify]: Simplify M into M 11.926 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.926 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.926 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 11.926 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 11.926 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.926 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 11.926 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 11.926 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 11.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 11.926 * [taylor]: Taking taylor expansion of 1/2 in n 11.926 * [backup-simplify]: Simplify 1/2 into 1/2 11.926 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 11.926 * [taylor]: Taking taylor expansion of (* m K) in n 11.926 * [taylor]: Taking taylor expansion of m in n 11.926 * [backup-simplify]: Simplify m into m 11.926 * [taylor]: Taking taylor expansion of K in n 11.926 * [backup-simplify]: Simplify K into K 11.926 * [backup-simplify]: Simplify (* m K) into (* m K) 11.926 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 11.926 * [taylor]: Taking taylor expansion of 1/2 in n 11.926 * [backup-simplify]: Simplify 1/2 into 1/2 11.926 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 11.926 * [taylor]: Taking taylor expansion of (* K n) in n 11.926 * [taylor]: Taking taylor expansion of K in n 11.926 * [backup-simplify]: Simplify K into K 11.926 * [taylor]: Taking taylor expansion of n in n 11.926 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify 1 into 1 11.926 * [backup-simplify]: Simplify (* K 0) into 0 11.927 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.927 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.927 * [taylor]: Taking taylor expansion of (/ 1 M) in n 11.927 * [taylor]: Taking taylor expansion of M in n 11.927 * [backup-simplify]: Simplify M into M 11.927 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.927 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.927 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 11.927 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 11.927 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.927 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 11.927 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 11.927 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 11.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 11.927 * [taylor]: Taking taylor expansion of 1/2 in K 11.927 * [backup-simplify]: Simplify 1/2 into 1/2 11.927 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 11.927 * [taylor]: Taking taylor expansion of (* m K) in K 11.927 * [taylor]: Taking taylor expansion of m in K 11.927 * [backup-simplify]: Simplify m into m 11.927 * [taylor]: Taking taylor expansion of K in K 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 1 into 1 11.927 * [backup-simplify]: Simplify (* m 0) into 0 11.928 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 11.928 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 11.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 11.928 * [taylor]: Taking taylor expansion of 1/2 in K 11.928 * [backup-simplify]: Simplify 1/2 into 1/2 11.928 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 11.928 * [taylor]: Taking taylor expansion of (* K n) in K 11.928 * [taylor]: Taking taylor expansion of K in K 11.928 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify 1 into 1 11.928 * [taylor]: Taking taylor expansion of n in K 11.928 * [backup-simplify]: Simplify n into n 11.928 * [backup-simplify]: Simplify (* 0 n) into 0 11.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 11.928 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.928 * [taylor]: Taking taylor expansion of (/ 1 M) in K 11.928 * [taylor]: Taking taylor expansion of M in K 11.928 * [backup-simplify]: Simplify M into M 11.928 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.928 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 11.928 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 11.928 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.929 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.929 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.929 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 11.929 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 11.929 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 11.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 11.929 * [taylor]: Taking taylor expansion of 1/2 in M 11.929 * [backup-simplify]: Simplify 1/2 into 1/2 11.929 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 11.929 * [taylor]: Taking taylor expansion of (* m K) in M 11.929 * [taylor]: Taking taylor expansion of m in M 11.929 * [backup-simplify]: Simplify m into m 11.929 * [taylor]: Taking taylor expansion of K in M 11.929 * [backup-simplify]: Simplify K into K 11.929 * [backup-simplify]: Simplify (* m K) into (* m K) 11.929 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 11.929 * [taylor]: Taking taylor expansion of 1/2 in M 11.929 * [backup-simplify]: Simplify 1/2 into 1/2 11.929 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 11.929 * [taylor]: Taking taylor expansion of (* K n) in M 11.929 * [taylor]: Taking taylor expansion of K in M 11.929 * [backup-simplify]: Simplify K into K 11.929 * [taylor]: Taking taylor expansion of n in M 11.929 * [backup-simplify]: Simplify n into n 11.929 * [backup-simplify]: Simplify (* K n) into (* K n) 11.929 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.929 * [taylor]: Taking taylor expansion of (/ 1 M) in M 11.929 * [taylor]: Taking taylor expansion of M in M 11.929 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify 1 into 1 11.929 * [backup-simplify]: Simplify (/ 1 1) into 1 11.930 * [backup-simplify]: Simplify (- 1) into -1 11.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.930 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.930 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 11.930 * [taylor]: Taking taylor expansion of 0 in n 11.930 * [backup-simplify]: Simplify 0 into 0 11.930 * [taylor]: Taking taylor expansion of 0 in K 11.930 * [backup-simplify]: Simplify 0 into 0 11.930 * [taylor]: Taking taylor expansion of 0 in M 11.930 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in K 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in M 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in M 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in n 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in K 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in M 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in K 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [taylor]: Taking taylor expansion of 0 in M 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 11.932 * [backup-simplify]: Simplify (cos (- (/ (* (* (cbrt (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K)))) (cbrt (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))))) (cbrt (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.932 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 11.932 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 11.932 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 11.932 * [taylor]: Taking taylor expansion of (/ 1 M) in M 11.932 * [taylor]: Taking taylor expansion of M in M 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 1 into 1 11.932 * [backup-simplify]: Simplify (/ 1 1) into 1 11.932 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 11.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 11.932 * [taylor]: Taking taylor expansion of 1/2 in M 11.932 * [backup-simplify]: Simplify 1/2 into 1/2 11.932 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 11.932 * [taylor]: Taking taylor expansion of (* m K) in M 11.932 * [taylor]: Taking taylor expansion of m in M 11.932 * [backup-simplify]: Simplify m into m 11.932 * [taylor]: Taking taylor expansion of K in M 11.932 * [backup-simplify]: Simplify K into K 11.932 * [backup-simplify]: Simplify (* m K) into (* m K) 11.932 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 11.932 * [taylor]: Taking taylor expansion of 1/2 in M 11.932 * [backup-simplify]: Simplify 1/2 into 1/2 11.932 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 11.932 * [taylor]: Taking taylor expansion of (* K n) in M 11.932 * [taylor]: Taking taylor expansion of K in M 11.932 * [backup-simplify]: Simplify K into K 11.932 * [taylor]: Taking taylor expansion of n in M 11.932 * [backup-simplify]: Simplify n into n 11.932 * [backup-simplify]: Simplify (* K n) into (* K n) 11.932 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.933 * [backup-simplify]: Simplify (+ 1 0) into 1 11.933 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.933 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 11.933 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 11.933 * [taylor]: Taking taylor expansion of (/ 1 M) in K 11.933 * [taylor]: Taking taylor expansion of M in K 11.933 * [backup-simplify]: Simplify M into M 11.933 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.933 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 11.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 11.933 * [taylor]: Taking taylor expansion of 1/2 in K 11.933 * [backup-simplify]: Simplify 1/2 into 1/2 11.933 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 11.933 * [taylor]: Taking taylor expansion of (* m K) in K 11.933 * [taylor]: Taking taylor expansion of m in K 11.933 * [backup-simplify]: Simplify m into m 11.933 * [taylor]: Taking taylor expansion of K in K 11.933 * [backup-simplify]: Simplify 0 into 0 11.933 * [backup-simplify]: Simplify 1 into 1 11.933 * [backup-simplify]: Simplify (* m 0) into 0 11.934 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 11.934 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 11.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 11.934 * [taylor]: Taking taylor expansion of 1/2 in K 11.934 * [backup-simplify]: Simplify 1/2 into 1/2 11.934 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 11.934 * [taylor]: Taking taylor expansion of (* K n) in K 11.934 * [taylor]: Taking taylor expansion of K in K 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify 1 into 1 11.934 * [taylor]: Taking taylor expansion of n in K 11.934 * [backup-simplify]: Simplify n into n 11.934 * [backup-simplify]: Simplify (* 0 n) into 0 11.934 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 11.934 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.934 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 11.934 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 11.934 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.934 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.934 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.935 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 11.935 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 11.935 * [taylor]: Taking taylor expansion of (/ 1 M) in n 11.935 * [taylor]: Taking taylor expansion of M in n 11.935 * [backup-simplify]: Simplify M into M 11.935 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.935 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 11.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 11.935 * [taylor]: Taking taylor expansion of 1/2 in n 11.935 * [backup-simplify]: Simplify 1/2 into 1/2 11.935 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 11.935 * [taylor]: Taking taylor expansion of (* m K) in n 11.935 * [taylor]: Taking taylor expansion of m in n 11.935 * [backup-simplify]: Simplify m into m 11.935 * [taylor]: Taking taylor expansion of K in n 11.935 * [backup-simplify]: Simplify K into K 11.935 * [backup-simplify]: Simplify (* m K) into (* m K) 11.935 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 11.935 * [taylor]: Taking taylor expansion of 1/2 in n 11.935 * [backup-simplify]: Simplify 1/2 into 1/2 11.935 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 11.935 * [taylor]: Taking taylor expansion of (* K n) in n 11.935 * [taylor]: Taking taylor expansion of K in n 11.935 * [backup-simplify]: Simplify K into K 11.935 * [taylor]: Taking taylor expansion of n in n 11.935 * [backup-simplify]: Simplify 0 into 0 11.935 * [backup-simplify]: Simplify 1 into 1 11.935 * [backup-simplify]: Simplify (* K 0) into 0 11.935 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.935 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.935 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.935 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 11.935 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 11.936 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.936 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 11.936 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 11.936 * [taylor]: Taking taylor expansion of (/ 1 M) in m 11.936 * [taylor]: Taking taylor expansion of M in m 11.936 * [backup-simplify]: Simplify M into M 11.936 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.936 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 11.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 11.936 * [taylor]: Taking taylor expansion of 1/2 in m 11.936 * [backup-simplify]: Simplify 1/2 into 1/2 11.936 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 11.936 * [taylor]: Taking taylor expansion of (* m K) in m 11.936 * [taylor]: Taking taylor expansion of m in m 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.936 * [taylor]: Taking taylor expansion of K in m 11.936 * [backup-simplify]: Simplify K into K 11.936 * [backup-simplify]: Simplify (* 0 K) into 0 11.936 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 11.936 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 11.936 * [taylor]: Taking taylor expansion of 1/2 in m 11.936 * [backup-simplify]: Simplify 1/2 into 1/2 11.936 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 11.936 * [taylor]: Taking taylor expansion of (* K n) in m 11.936 * [taylor]: Taking taylor expansion of K in m 11.936 * [backup-simplify]: Simplify K into K 11.936 * [taylor]: Taking taylor expansion of n in m 11.936 * [backup-simplify]: Simplify n into n 11.936 * [backup-simplify]: Simplify (* K n) into (* K n) 11.936 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.937 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.937 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 11.937 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 11.937 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.937 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 11.937 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 11.937 * [taylor]: Taking taylor expansion of (/ 1 M) in m 11.937 * [taylor]: Taking taylor expansion of M in m 11.937 * [backup-simplify]: Simplify M into M 11.937 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.937 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 11.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 11.937 * [taylor]: Taking taylor expansion of 1/2 in m 11.937 * [backup-simplify]: Simplify 1/2 into 1/2 11.937 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 11.937 * [taylor]: Taking taylor expansion of (* m K) in m 11.937 * [taylor]: Taking taylor expansion of m in m 11.937 * [backup-simplify]: Simplify 0 into 0 11.937 * [backup-simplify]: Simplify 1 into 1 11.937 * [taylor]: Taking taylor expansion of K in m 11.937 * [backup-simplify]: Simplify K into K 11.937 * [backup-simplify]: Simplify (* 0 K) into 0 11.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 11.937 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 11.937 * [taylor]: Taking taylor expansion of 1/2 in m 11.937 * [backup-simplify]: Simplify 1/2 into 1/2 11.937 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 11.938 * [taylor]: Taking taylor expansion of (* K n) in m 11.938 * [taylor]: Taking taylor expansion of K in m 11.938 * [backup-simplify]: Simplify K into K 11.938 * [taylor]: Taking taylor expansion of n in m 11.938 * [backup-simplify]: Simplify n into n 11.938 * [backup-simplify]: Simplify (* K n) into (* K n) 11.938 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.938 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.938 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 11.938 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 11.938 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.938 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 11.938 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 11.938 * [taylor]: Taking taylor expansion of (/ 1 M) in n 11.938 * [taylor]: Taking taylor expansion of M in n 11.938 * [backup-simplify]: Simplify M into M 11.938 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 11.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 11.938 * [taylor]: Taking taylor expansion of 1/2 in n 11.938 * [backup-simplify]: Simplify 1/2 into 1/2 11.938 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 11.938 * [taylor]: Taking taylor expansion of (* m K) in n 11.938 * [taylor]: Taking taylor expansion of m in n 11.938 * [backup-simplify]: Simplify m into m 11.938 * [taylor]: Taking taylor expansion of K in n 11.938 * [backup-simplify]: Simplify K into K 11.938 * [backup-simplify]: Simplify (* m K) into (* m K) 11.938 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 11.938 * [taylor]: Taking taylor expansion of 1/2 in n 11.938 * [backup-simplify]: Simplify 1/2 into 1/2 11.938 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 11.938 * [taylor]: Taking taylor expansion of (* K n) in n 11.938 * [taylor]: Taking taylor expansion of K in n 11.938 * [backup-simplify]: Simplify K into K 11.938 * [taylor]: Taking taylor expansion of n in n 11.938 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.939 * [backup-simplify]: Simplify (* K 0) into 0 11.939 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.939 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.939 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 11.939 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 11.939 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 11.939 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.939 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 11.939 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 11.939 * [taylor]: Taking taylor expansion of (/ 1 M) in K 11.939 * [taylor]: Taking taylor expansion of M in K 11.939 * [backup-simplify]: Simplify M into M 11.939 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 11.939 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 11.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 11.939 * [taylor]: Taking taylor expansion of 1/2 in K 11.939 * [backup-simplify]: Simplify 1/2 into 1/2 11.939 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 11.939 * [taylor]: Taking taylor expansion of (* m K) in K 11.939 * [taylor]: Taking taylor expansion of m in K 11.939 * [backup-simplify]: Simplify m into m 11.939 * [taylor]: Taking taylor expansion of K in K 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.939 * [backup-simplify]: Simplify (* m 0) into 0 11.940 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 11.940 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 11.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 11.940 * [taylor]: Taking taylor expansion of 1/2 in K 11.940 * [backup-simplify]: Simplify 1/2 into 1/2 11.940 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 11.940 * [taylor]: Taking taylor expansion of (* K n) in K 11.940 * [taylor]: Taking taylor expansion of K in K 11.940 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [taylor]: Taking taylor expansion of n in K 11.940 * [backup-simplify]: Simplify n into n 11.940 * [backup-simplify]: Simplify (* 0 n) into 0 11.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 11.940 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 11.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 11.940 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.941 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 11.941 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.941 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 11.941 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 11.941 * [taylor]: Taking taylor expansion of (/ 1 M) in M 11.941 * [taylor]: Taking taylor expansion of M in M 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.941 * [backup-simplify]: Simplify (/ 1 1) into 1 11.941 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 11.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 11.941 * [taylor]: Taking taylor expansion of 1/2 in M 11.941 * [backup-simplify]: Simplify 1/2 into 1/2 11.941 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 11.941 * [taylor]: Taking taylor expansion of (* m K) in M 11.941 * [taylor]: Taking taylor expansion of m in M 11.941 * [backup-simplify]: Simplify m into m 11.941 * [taylor]: Taking taylor expansion of K in M 11.941 * [backup-simplify]: Simplify K into K 11.941 * [backup-simplify]: Simplify (* m K) into (* m K) 11.941 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 11.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 11.941 * [taylor]: Taking taylor expansion of 1/2 in M 11.941 * [backup-simplify]: Simplify 1/2 into 1/2 11.941 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 11.941 * [taylor]: Taking taylor expansion of (* K n) in M 11.941 * [taylor]: Taking taylor expansion of K in M 11.941 * [backup-simplify]: Simplify K into K 11.941 * [taylor]: Taking taylor expansion of n in M 11.941 * [backup-simplify]: Simplify n into n 11.941 * [backup-simplify]: Simplify (* K n) into (* K n) 11.941 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 11.942 * [backup-simplify]: Simplify (+ 1 0) into 1 11.942 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.942 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 11.942 * [taylor]: Taking taylor expansion of 0 in n 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in K 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in M 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in K 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in M 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in M 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in n 11.942 * [backup-simplify]: Simplify 0 into 0 11.943 * [taylor]: Taking taylor expansion of 0 in K 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [taylor]: Taking taylor expansion of 0 in M 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [taylor]: Taking taylor expansion of 0 in K 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [taylor]: Taking taylor expansion of 0 in M 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 11.943 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 11.943 * [backup-simplify]: Simplify (cbrt (* (+ m n) K)) into (pow (* K (+ m n)) 1/3) 11.943 * [approximate]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in (m n K) around 0 11.943 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in K 11.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in K 11.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in K 11.943 * [taylor]: Taking taylor expansion of 1/3 in K 11.943 * [backup-simplify]: Simplify 1/3 into 1/3 11.943 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in K 11.943 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 11.943 * [taylor]: Taking taylor expansion of K in K 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [backup-simplify]: Simplify 1 into 1 11.943 * [taylor]: Taking taylor expansion of (+ m n) in K 11.943 * [taylor]: Taking taylor expansion of m in K 11.944 * [backup-simplify]: Simplify m into m 11.944 * [taylor]: Taking taylor expansion of n in K 11.944 * [backup-simplify]: Simplify n into n 11.944 * [backup-simplify]: Simplify (+ m n) into (+ m n) 11.944 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 11.944 * [backup-simplify]: Simplify (+ 0 0) into 0 11.944 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 11.944 * [backup-simplify]: Simplify (log (+ m n)) into (log (+ m n)) 11.944 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) (log (+ m n))) into (+ (log K) (log (+ m n))) 11.945 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log (+ m n)))) into (* 1/3 (+ (log K) (log (+ m n)))) 11.945 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log (+ m n))))) into (exp (* 1/3 (+ (log K) (log (+ m n))))) 11.945 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in n 11.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in n 11.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in n 11.945 * [taylor]: Taking taylor expansion of 1/3 in n 11.945 * [backup-simplify]: Simplify 1/3 into 1/3 11.945 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in n 11.945 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 11.945 * [taylor]: Taking taylor expansion of K in n 11.945 * [backup-simplify]: Simplify K into K 11.945 * [taylor]: Taking taylor expansion of (+ m n) in n 11.945 * [taylor]: Taking taylor expansion of m in n 11.945 * [backup-simplify]: Simplify m into m 11.945 * [taylor]: Taking taylor expansion of n in n 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify 1 into 1 11.945 * [backup-simplify]: Simplify (+ m 0) into m 11.945 * [backup-simplify]: Simplify (* K m) into (* K m) 11.945 * [backup-simplify]: Simplify (log (* K m)) into (log (* K m)) 11.945 * [backup-simplify]: Simplify (* 1/3 (log (* K m))) into (* 1/3 (log (* K m))) 11.945 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K m)))) into (pow (* K m) 1/3) 11.945 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in m 11.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in m 11.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in m 11.945 * [taylor]: Taking taylor expansion of 1/3 in m 11.945 * [backup-simplify]: Simplify 1/3 into 1/3 11.945 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in m 11.945 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 11.945 * [taylor]: Taking taylor expansion of K in m 11.945 * [backup-simplify]: Simplify K into K 11.945 * [taylor]: Taking taylor expansion of (+ m n) in m 11.945 * [taylor]: Taking taylor expansion of m in m 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify 1 into 1 11.945 * [taylor]: Taking taylor expansion of n in m 11.945 * [backup-simplify]: Simplify n into n 11.945 * [backup-simplify]: Simplify (+ 0 n) into n 11.945 * [backup-simplify]: Simplify (* K n) into (* K n) 11.945 * [backup-simplify]: Simplify (log (* K n)) into (log (* K n)) 11.945 * [backup-simplify]: Simplify (* 1/3 (log (* K n))) into (* 1/3 (log (* K n))) 11.946 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K n)))) into (pow (* K n) 1/3) 11.946 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in m 11.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in m 11.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in m 11.946 * [taylor]: Taking taylor expansion of 1/3 in m 11.946 * [backup-simplify]: Simplify 1/3 into 1/3 11.946 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in m 11.946 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 11.946 * [taylor]: Taking taylor expansion of K in m 11.946 * [backup-simplify]: Simplify K into K 11.946 * [taylor]: Taking taylor expansion of (+ m n) in m 11.946 * [taylor]: Taking taylor expansion of m in m 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [taylor]: Taking taylor expansion of n in m 11.946 * [backup-simplify]: Simplify n into n 11.946 * [backup-simplify]: Simplify (+ 0 n) into n 11.946 * [backup-simplify]: Simplify (* K n) into (* K n) 11.946 * [backup-simplify]: Simplify (log (* K n)) into (log (* K n)) 11.946 * [backup-simplify]: Simplify (* 1/3 (log (* K n))) into (* 1/3 (log (* K n))) 11.946 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K n)))) into (pow (* K n) 1/3) 11.946 * [taylor]: Taking taylor expansion of (pow (* K n) 1/3) in n 11.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K n)))) in n 11.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K n))) in n 11.946 * [taylor]: Taking taylor expansion of 1/3 in n 11.946 * [backup-simplify]: Simplify 1/3 into 1/3 11.946 * [taylor]: Taking taylor expansion of (log (* K n)) in n 11.946 * [taylor]: Taking taylor expansion of (* K n) in n 11.946 * [taylor]: Taking taylor expansion of K in n 11.946 * [backup-simplify]: Simplify K into K 11.946 * [taylor]: Taking taylor expansion of n in n 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (* K 0) into 0 11.946 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 11.946 * [backup-simplify]: Simplify (log K) into (log K) 11.947 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log K)) into (+ (log K) (log n)) 11.947 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log n))) into (* 1/3 (+ (log K) (log n))) 11.947 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 11.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log n)))) in K 11.947 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log K) (log n))) in K 11.947 * [taylor]: Taking taylor expansion of 1/3 in K 11.947 * [backup-simplify]: Simplify 1/3 into 1/3 11.947 * [taylor]: Taking taylor expansion of (+ (log K) (log n)) in K 11.947 * [taylor]: Taking taylor expansion of (log K) in K 11.947 * [taylor]: Taking taylor expansion of K in K 11.947 * [backup-simplify]: Simplify 0 into 0 11.947 * [backup-simplify]: Simplify 1 into 1 11.947 * [backup-simplify]: Simplify (log 1) into 0 11.947 * [taylor]: Taking taylor expansion of (log n) in K 11.947 * [taylor]: Taking taylor expansion of n in K 11.947 * [backup-simplify]: Simplify n into n 11.947 * [backup-simplify]: Simplify (log n) into (log n) 11.948 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 11.948 * [backup-simplify]: Simplify (+ (log K) (log n)) into (+ (log K) (log n)) 11.948 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log n))) into (* 1/3 (+ (log K) (log n))) 11.948 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 11.948 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 11.948 * [backup-simplify]: Simplify (+ 1 0) into 1 11.948 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 11.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 K) 1)) (pow (* K n) 1)))) 1) into (/ 1 n) 11.948 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log (* K n)))) into (* 1/3 (/ 1 n)) 11.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* K n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ K (pow n 2)) 1/3)) 11.949 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ K (pow n 2)) 1/3)) in n 11.949 * [taylor]: Taking taylor expansion of 1/3 in n 11.949 * [backup-simplify]: Simplify 1/3 into 1/3 11.949 * [taylor]: Taking taylor expansion of (pow (/ K (pow n 2)) 1/3) in n 11.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ K (pow n 2))))) in n 11.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ K (pow n 2)))) in n 11.949 * [taylor]: Taking taylor expansion of 1/3 in n 11.949 * [backup-simplify]: Simplify 1/3 into 1/3 11.949 * [taylor]: Taking taylor expansion of (log (/ K (pow n 2))) in n 11.949 * [taylor]: Taking taylor expansion of (/ K (pow n 2)) in n 11.949 * [taylor]: Taking taylor expansion of K in n 11.949 * [backup-simplify]: Simplify K into K 11.949 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.949 * [taylor]: Taking taylor expansion of n in n 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify 1 into 1 11.949 * [backup-simplify]: Simplify (* 1 1) into 1 11.949 * [backup-simplify]: Simplify (/ K 1) into K 11.949 * [backup-simplify]: Simplify (log K) into (log K) 11.949 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) (log K)) into (- (log K) (* 2 (log n))) 11.950 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 2 (log n)))) into (* 1/3 (- (log K) (* 2 (log n)))) 11.950 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 2 (log n))))) into (exp (* 1/3 (- (log K) (* 2 (log n))))) 11.950 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 11.950 * [taylor]: Taking taylor expansion of (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) in K 11.950 * [taylor]: Taking taylor expansion of 1/3 in K 11.950 * [backup-simplify]: Simplify 1/3 into 1/3 11.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log K) (* 2 (log n))))) in K 11.950 * [taylor]: Taking taylor expansion of (* 1/3 (- (log K) (* 2 (log n)))) in K 11.950 * [taylor]: Taking taylor expansion of 1/3 in K 11.950 * [backup-simplify]: Simplify 1/3 into 1/3 11.950 * [taylor]: Taking taylor expansion of (- (log K) (* 2 (log n))) in K 11.950 * [taylor]: Taking taylor expansion of (log K) in K 11.950 * [taylor]: Taking taylor expansion of K in K 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [backup-simplify]: Simplify 1 into 1 11.950 * [backup-simplify]: Simplify (log 1) into 0 11.950 * [taylor]: Taking taylor expansion of (* 2 (log n)) in K 11.950 * [taylor]: Taking taylor expansion of 2 in K 11.950 * [backup-simplify]: Simplify 2 into 2 11.950 * [taylor]: Taking taylor expansion of (log n) in K 11.950 * [taylor]: Taking taylor expansion of n in K 11.950 * [backup-simplify]: Simplify n into n 11.950 * [backup-simplify]: Simplify (log n) into (log n) 11.951 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 11.951 * [backup-simplify]: Simplify (* 2 (log n)) into (* 2 (log n)) 11.951 * [backup-simplify]: Simplify (- (* 2 (log n))) into (- (* 2 (log n))) 11.951 * [backup-simplify]: Simplify (+ (log K) (- (* 2 (log n)))) into (- (log K) (* 2 (log n))) 11.951 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 2 (log n)))) into (* 1/3 (- (log K) (* 2 (log n)))) 11.951 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 2 (log n))))) into (exp (* 1/3 (- (log K) (* 2 (log n))))) 11.951 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 11.951 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 11.951 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 11.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 11.952 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log K)) into (+ (log K) (log n)) 11.953 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log n)))) into 0 11.953 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log K) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.953 * [taylor]: Taking taylor expansion of 0 in K 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.954 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.955 * [backup-simplify]: Simplify (+ 0 0) into 0 11.955 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log n)))) into 0 11.955 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log K) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify (+ 0 0) into 0 11.956 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 11.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 K) 2)) (pow (* K n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* K n) 1)))) 2) into (/ -1/2 (pow n 2)) 11.957 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log (* K n))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.957 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* K n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ K (pow n 5)) 1/3)) 11.957 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ K (pow n 5)) 1/3)) in n 11.957 * [taylor]: Taking taylor expansion of -1/9 in n 11.957 * [backup-simplify]: Simplify -1/9 into -1/9 11.957 * [taylor]: Taking taylor expansion of (pow (/ K (pow n 5)) 1/3) in n 11.957 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ K (pow n 5))))) in n 11.957 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ K (pow n 5)))) in n 11.957 * [taylor]: Taking taylor expansion of 1/3 in n 11.957 * [backup-simplify]: Simplify 1/3 into 1/3 11.957 * [taylor]: Taking taylor expansion of (log (/ K (pow n 5))) in n 11.957 * [taylor]: Taking taylor expansion of (/ K (pow n 5)) in n 11.957 * [taylor]: Taking taylor expansion of K in n 11.957 * [backup-simplify]: Simplify K into K 11.957 * [taylor]: Taking taylor expansion of (pow n 5) in n 11.957 * [taylor]: Taking taylor expansion of n in n 11.957 * [backup-simplify]: Simplify 0 into 0 11.957 * [backup-simplify]: Simplify 1 into 1 11.958 * [backup-simplify]: Simplify (* 1 1) into 1 11.958 * [backup-simplify]: Simplify (* 1 1) into 1 11.958 * [backup-simplify]: Simplify (* 1 1) into 1 11.958 * [backup-simplify]: Simplify (/ K 1) into K 11.958 * [backup-simplify]: Simplify (log K) into (log K) 11.958 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) (log K)) into (- (log K) (* 5 (log n))) 11.958 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 5 (log n)))) into (* 1/3 (- (log K) (* 5 (log n)))) 11.959 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 5 (log n))))) into (exp (* 1/3 (- (log K) (* 5 (log n))))) 11.959 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 11.959 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) in K 11.959 * [taylor]: Taking taylor expansion of -1/9 in K 11.959 * [backup-simplify]: Simplify -1/9 into -1/9 11.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log K) (* 5 (log n))))) in K 11.959 * [taylor]: Taking taylor expansion of (* 1/3 (- (log K) (* 5 (log n)))) in K 11.959 * [taylor]: Taking taylor expansion of 1/3 in K 11.959 * [backup-simplify]: Simplify 1/3 into 1/3 11.959 * [taylor]: Taking taylor expansion of (- (log K) (* 5 (log n))) in K 11.959 * [taylor]: Taking taylor expansion of (log K) in K 11.959 * [taylor]: Taking taylor expansion of K in K 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [backup-simplify]: Simplify (log 1) into 0 11.959 * [taylor]: Taking taylor expansion of (* 5 (log n)) in K 11.959 * [taylor]: Taking taylor expansion of 5 in K 11.959 * [backup-simplify]: Simplify 5 into 5 11.959 * [taylor]: Taking taylor expansion of (log n) in K 11.959 * [taylor]: Taking taylor expansion of n in K 11.959 * [backup-simplify]: Simplify n into n 11.959 * [backup-simplify]: Simplify (log n) into (log n) 11.959 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 11.960 * [backup-simplify]: Simplify (* 5 (log n)) into (* 5 (log n)) 11.960 * [backup-simplify]: Simplify (- (* 5 (log n))) into (- (* 5 (log n))) 11.960 * [backup-simplify]: Simplify (+ (log K) (- (* 5 (log n)))) into (- (log K) (* 5 (log n))) 11.960 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 5 (log n)))) into (* 1/3 (- (log K) (* 5 (log n)))) 11.960 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 5 (log n))))) into (exp (* 1/3 (- (log K) (* 5 (log n))))) 11.960 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 11.960 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 11.960 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) (pow (* 1 (* 1 m)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) (* 1 (* 1 m))) (exp (* 1/3 (+ (log K) (log n)))))) into (- (+ (* 1/3 (* m (exp (* 1/3 (- (log K) (* 2 (log n))))))) (exp (* 1/3 (+ (log K) (log n))))) (* 1/9 (* (exp (* 1/3 (- (log K) (* 5 (log n))))) (pow m 2)))) 11.961 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 m) (/ 1 n)) (/ 1 K))) into (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) 11.961 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in (m n K) around 0 11.961 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in K 11.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in K 11.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in K 11.961 * [taylor]: Taking taylor expansion of 1/3 in K 11.961 * [backup-simplify]: Simplify 1/3 into 1/3 11.961 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in K 11.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 11.961 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 11.961 * [taylor]: Taking taylor expansion of (/ 1 m) in K 11.961 * [taylor]: Taking taylor expansion of m in K 11.961 * [backup-simplify]: Simplify m into m 11.961 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 11.961 * [taylor]: Taking taylor expansion of (/ 1 n) in K 11.961 * [taylor]: Taking taylor expansion of n in K 11.961 * [backup-simplify]: Simplify n into n 11.961 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.961 * [taylor]: Taking taylor expansion of K in K 11.961 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify 1 into 1 11.961 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 11.961 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 11.961 * [backup-simplify]: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) 11.961 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 m) (/ 1 n)))) into (- (log (+ (/ 1 m) (/ 1 n))) (log K)) 11.962 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) into (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) 11.962 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) into (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) 11.962 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in n 11.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in n 11.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in n 11.962 * [taylor]: Taking taylor expansion of 1/3 in n 11.962 * [backup-simplify]: Simplify 1/3 into 1/3 11.962 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in n 11.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 11.962 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 11.962 * [taylor]: Taking taylor expansion of (/ 1 m) in n 11.962 * [taylor]: Taking taylor expansion of m in n 11.962 * [backup-simplify]: Simplify m into m 11.962 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 11.962 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.962 * [taylor]: Taking taylor expansion of n in n 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.962 * [backup-simplify]: Simplify (/ 1 1) into 1 11.962 * [taylor]: Taking taylor expansion of K in n 11.962 * [backup-simplify]: Simplify K into K 11.962 * [backup-simplify]: Simplify (+ 0 1) into 1 11.963 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.963 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 11.963 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) 11.963 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log n))) into (* 1/3 (- (log (/ 1 K)) (log n))) 11.963 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1 K)) (log n)))) 11.963 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 11.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 11.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 11.963 * [taylor]: Taking taylor expansion of 1/3 in m 11.963 * [backup-simplify]: Simplify 1/3 into 1/3 11.963 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 11.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 11.963 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 11.963 * [taylor]: Taking taylor expansion of (/ 1 m) in m 11.963 * [taylor]: Taking taylor expansion of m in m 11.963 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify 1 into 1 11.963 * [backup-simplify]: Simplify (/ 1 1) into 1 11.963 * [taylor]: Taking taylor expansion of (/ 1 n) in m 11.963 * [taylor]: Taking taylor expansion of n in m 11.964 * [backup-simplify]: Simplify n into n 11.964 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.964 * [taylor]: Taking taylor expansion of K in m 11.964 * [backup-simplify]: Simplify K into K 11.964 * [backup-simplify]: Simplify (+ 1 0) into 1 11.964 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.964 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 11.964 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 11.964 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 11.964 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.964 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 11.964 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 11.964 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 11.964 * [taylor]: Taking taylor expansion of 1/3 in m 11.965 * [backup-simplify]: Simplify 1/3 into 1/3 11.965 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 11.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 11.965 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 11.965 * [taylor]: Taking taylor expansion of (/ 1 m) in m 11.965 * [taylor]: Taking taylor expansion of m in m 11.965 * [backup-simplify]: Simplify 0 into 0 11.965 * [backup-simplify]: Simplify 1 into 1 11.965 * [backup-simplify]: Simplify (/ 1 1) into 1 11.965 * [taylor]: Taking taylor expansion of (/ 1 n) in m 11.965 * [taylor]: Taking taylor expansion of n in m 11.965 * [backup-simplify]: Simplify n into n 11.965 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.965 * [taylor]: Taking taylor expansion of K in m 11.965 * [backup-simplify]: Simplify K into K 11.965 * [backup-simplify]: Simplify (+ 1 0) into 1 11.965 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.965 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 11.966 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 11.966 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 11.966 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 11.966 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 11.966 * [taylor]: Taking taylor expansion of 1/3 in n 11.966 * [backup-simplify]: Simplify 1/3 into 1/3 11.966 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 11.966 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 11.966 * [taylor]: Taking taylor expansion of (/ 1 K) in n 11.966 * [taylor]: Taking taylor expansion of K in n 11.966 * [backup-simplify]: Simplify K into K 11.966 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.966 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 11.966 * [taylor]: Taking taylor expansion of (log m) in n 11.966 * [taylor]: Taking taylor expansion of m in n 11.966 * [backup-simplify]: Simplify m into m 11.966 * [backup-simplify]: Simplify (log m) into (log m) 11.966 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 11.966 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 11.966 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 11.966 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in K 11.966 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in K 11.966 * [taylor]: Taking taylor expansion of 1/3 in K 11.967 * [backup-simplify]: Simplify 1/3 into 1/3 11.967 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in K 11.967 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in K 11.967 * [taylor]: Taking taylor expansion of (/ 1 K) in K 11.967 * [taylor]: Taking taylor expansion of K in K 11.967 * [backup-simplify]: Simplify 0 into 0 11.967 * [backup-simplify]: Simplify 1 into 1 11.967 * [backup-simplify]: Simplify (/ 1 1) into 1 11.967 * [backup-simplify]: Simplify (log 1) into 0 11.967 * [taylor]: Taking taylor expansion of (log m) in K 11.967 * [taylor]: Taking taylor expansion of m in K 11.967 * [backup-simplify]: Simplify m into m 11.967 * [backup-simplify]: Simplify (log m) into (log m) 11.967 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) 0) into (- (log K)) 11.967 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 11.968 * [backup-simplify]: Simplify (+ (- (log K)) (- (log m))) into (- (+ (log K) (log m))) 11.968 * [backup-simplify]: Simplify (* 1/3 (- (+ (log K) (log m)))) into (* -1/3 (+ (log K) (log m))) 11.968 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 11.968 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 11.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.969 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 11.969 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 11.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (* K n))) 1)) (pow (/ 1 K) 1)))) 1) into (/ 1 n) 11.969 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 11.969 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m)))) into (* 1/3 (/ 1 n)) 11.969 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) 11.970 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) in n 11.970 * [taylor]: Taking taylor expansion of 1/3 in n 11.970 * [backup-simplify]: Simplify 1/3 into 1/3 11.970 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n) in n 11.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 11.970 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 11.970 * [taylor]: Taking taylor expansion of 1/3 in n 11.970 * [backup-simplify]: Simplify 1/3 into 1/3 11.970 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 11.970 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 11.970 * [taylor]: Taking taylor expansion of (/ 1 K) in n 11.970 * [taylor]: Taking taylor expansion of K in n 11.970 * [backup-simplify]: Simplify K into K 11.970 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.970 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 11.970 * [taylor]: Taking taylor expansion of (log m) in n 11.970 * [taylor]: Taking taylor expansion of m in n 11.970 * [backup-simplify]: Simplify m into m 11.970 * [backup-simplify]: Simplify (log m) into (log m) 11.970 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 11.970 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 11.970 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 11.970 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.970 * [taylor]: Taking taylor expansion of n in n 11.970 * [backup-simplify]: Simplify 0 into 0 11.970 * [backup-simplify]: Simplify 1 into 1 11.970 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 11.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 11.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 11.972 * [backup-simplify]: Simplify (- 0) into 0 11.972 * [backup-simplify]: Simplify (+ 0 0) into 0 11.972 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 11.973 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 11.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m)))))) into 0 11.974 * [taylor]: Taking taylor expansion of 0 in K 11.974 * [backup-simplify]: Simplify 0 into 0 11.974 * [backup-simplify]: Simplify 0 into 0 11.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 11.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 11.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 11.975 * [backup-simplify]: Simplify (- 0) into 0 11.975 * [backup-simplify]: Simplify (+ 0 0) into 0 11.975 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 11.976 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.976 * [taylor]: Taking taylor expansion of 0 in K 11.976 * [backup-simplify]: Simplify 0 into 0 11.976 * [backup-simplify]: Simplify 0 into 0 11.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 11.978 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ 0 0) into 0 11.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log K) (log m))))) into 0 11.979 * [backup-simplify]: Simplify (* (exp (* -1/3 (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.979 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 11.980 * [backup-simplify]: Simplify (+ 0 0) into 0 11.980 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 11.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (* K n))) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into (/ -1/2 (pow n 2)) 11.981 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 11.982 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) 11.982 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) 11.982 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) in n 11.982 * [taylor]: Taking taylor expansion of -1/9 in n 11.982 * [backup-simplify]: Simplify -1/9 into -1/9 11.982 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2)) in n 11.982 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 11.982 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 11.982 * [taylor]: Taking taylor expansion of 1/3 in n 11.982 * [backup-simplify]: Simplify 1/3 into 1/3 11.982 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 11.982 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 11.982 * [taylor]: Taking taylor expansion of (/ 1 K) in n 11.982 * [taylor]: Taking taylor expansion of K in n 11.982 * [backup-simplify]: Simplify K into K 11.982 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 11.982 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 11.982 * [taylor]: Taking taylor expansion of (log m) in n 11.982 * [taylor]: Taking taylor expansion of m in n 11.982 * [backup-simplify]: Simplify m into m 11.982 * [backup-simplify]: Simplify (log m) into (log m) 11.982 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 11.982 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 11.982 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 11.983 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.983 * [taylor]: Taking taylor expansion of (pow n 2) in n 11.983 * [taylor]: Taking taylor expansion of n in n 11.983 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify 1 into 1 11.983 * [backup-simplify]: Simplify (* 1 1) into 1 11.983 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 11.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 11.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 11.984 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 11.984 * [backup-simplify]: Simplify (- 0) into 0 11.984 * [backup-simplify]: Simplify (+ 0 0) into 0 11.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 11.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 11.987 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 11.987 * [backup-simplify]: Simplify (- 0) into 0 11.987 * [backup-simplify]: Simplify (+ 0 0) into 0 11.988 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 11.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.990 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 11.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.992 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 11.992 * [taylor]: Taking taylor expansion of 0 in K 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 11.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 11.995 * [backup-simplify]: Simplify (- 0) into 0 11.995 * [backup-simplify]: Simplify (+ 0 0) into 0 11.995 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 11.996 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.998 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 11.998 * [taylor]: Taking taylor expansion of 0 in K 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify 0 into 0 11.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 11.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.000 * [backup-simplify]: Simplify (- 0) into 0 12.003 * [backup-simplify]: Simplify (+ 0 0) into 0 12.004 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.006 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.006 * [taylor]: Taking taylor expansion of 0 in K 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log (/ 1 K)) (log (/ 1 m))))) into (exp (* -1/3 (+ (log (/ 1 m)) (log (/ 1 K))))) 12.006 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K)))) into (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) 12.006 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in (m n K) around 0 12.006 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in K 12.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in K 12.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in K 12.006 * [taylor]: Taking taylor expansion of 1/3 in K 12.006 * [backup-simplify]: Simplify 1/3 into 1/3 12.006 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in K 12.006 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.006 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.006 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.006 * [taylor]: Taking taylor expansion of m in K 12.006 * [backup-simplify]: Simplify m into m 12.006 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.006 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.006 * [taylor]: Taking taylor expansion of n in K 12.006 * [backup-simplify]: Simplify n into n 12.006 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.006 * [taylor]: Taking taylor expansion of K in K 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 1 into 1 12.006 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.006 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.007 * [backup-simplify]: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) 12.007 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 m) (/ 1 n)))) into (- (log (+ (/ 1 m) (/ 1 n))) (log K)) 12.007 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) into (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) 12.007 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) into (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) 12.007 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in n 12.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in n 12.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in n 12.007 * [taylor]: Taking taylor expansion of 1/3 in n 12.007 * [backup-simplify]: Simplify 1/3 into 1/3 12.007 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in n 12.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.007 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.007 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.007 * [taylor]: Taking taylor expansion of m in n 12.007 * [backup-simplify]: Simplify m into m 12.007 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.007 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.007 * [taylor]: Taking taylor expansion of n in n 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (/ 1 1) into 1 12.008 * [taylor]: Taking taylor expansion of K in n 12.008 * [backup-simplify]: Simplify K into K 12.008 * [backup-simplify]: Simplify (+ 0 1) into 1 12.008 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.008 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) 12.008 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log n))) into (* 1/3 (- (log (/ 1 K)) (log n))) 12.008 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1 K)) (log n)))) 12.008 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.009 * [taylor]: Taking taylor expansion of 1/3 in m 12.009 * [backup-simplify]: Simplify 1/3 into 1/3 12.009 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.009 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.009 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.009 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.009 * [taylor]: Taking taylor expansion of m in m 12.009 * [backup-simplify]: Simplify 0 into 0 12.009 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (/ 1 1) into 1 12.009 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.009 * [taylor]: Taking taylor expansion of n in m 12.009 * [backup-simplify]: Simplify n into n 12.009 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.009 * [taylor]: Taking taylor expansion of K in m 12.009 * [backup-simplify]: Simplify K into K 12.009 * [backup-simplify]: Simplify (+ 1 0) into 1 12.009 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.009 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.010 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.010 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.010 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.010 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.010 * [taylor]: Taking taylor expansion of 1/3 in m 12.010 * [backup-simplify]: Simplify 1/3 into 1/3 12.010 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.010 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.010 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.010 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.010 * [taylor]: Taking taylor expansion of m in m 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [backup-simplify]: Simplify (/ 1 1) into 1 12.010 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.010 * [taylor]: Taking taylor expansion of n in m 12.010 * [backup-simplify]: Simplify n into n 12.010 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.010 * [taylor]: Taking taylor expansion of K in m 12.010 * [backup-simplify]: Simplify K into K 12.011 * [backup-simplify]: Simplify (+ 1 0) into 1 12.011 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.011 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.011 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.011 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.011 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.011 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.011 * [taylor]: Taking taylor expansion of 1/3 in n 12.011 * [backup-simplify]: Simplify 1/3 into 1/3 12.011 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.011 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.011 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.011 * [taylor]: Taking taylor expansion of K in n 12.011 * [backup-simplify]: Simplify K into K 12.011 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.011 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.012 * [taylor]: Taking taylor expansion of (log m) in n 12.012 * [taylor]: Taking taylor expansion of m in n 12.012 * [backup-simplify]: Simplify m into m 12.012 * [backup-simplify]: Simplify (log m) into (log m) 12.012 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.012 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.012 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.012 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in K 12.012 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in K 12.012 * [taylor]: Taking taylor expansion of 1/3 in K 12.012 * [backup-simplify]: Simplify 1/3 into 1/3 12.012 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in K 12.012 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in K 12.012 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.012 * [taylor]: Taking taylor expansion of K in K 12.012 * [backup-simplify]: Simplify 0 into 0 12.012 * [backup-simplify]: Simplify 1 into 1 12.012 * [backup-simplify]: Simplify (/ 1 1) into 1 12.012 * [backup-simplify]: Simplify (log 1) into 0 12.012 * [taylor]: Taking taylor expansion of (log m) in K 12.012 * [taylor]: Taking taylor expansion of m in K 12.013 * [backup-simplify]: Simplify m into m 12.013 * [backup-simplify]: Simplify (log m) into (log m) 12.013 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) 0) into (- (log K)) 12.013 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.013 * [backup-simplify]: Simplify (+ (- (log K)) (- (log m))) into (- (+ (log K) (log m))) 12.013 * [backup-simplify]: Simplify (* 1/3 (- (+ (log K) (log m)))) into (* -1/3 (+ (log K) (log m))) 12.013 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.013 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.014 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.014 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (* K n))) 1)) (pow (/ 1 K) 1)))) 1) into (/ 1 n) 12.014 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.014 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m)))) into (* 1/3 (/ 1 n)) 12.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) 12.015 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) in n 12.015 * [taylor]: Taking taylor expansion of 1/3 in n 12.015 * [backup-simplify]: Simplify 1/3 into 1/3 12.015 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n) in n 12.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.015 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.015 * [taylor]: Taking taylor expansion of 1/3 in n 12.015 * [backup-simplify]: Simplify 1/3 into 1/3 12.015 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.015 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.015 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.015 * [taylor]: Taking taylor expansion of K in n 12.015 * [backup-simplify]: Simplify K into K 12.015 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.015 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.015 * [taylor]: Taking taylor expansion of (log m) in n 12.015 * [taylor]: Taking taylor expansion of m in n 12.015 * [backup-simplify]: Simplify m into m 12.015 * [backup-simplify]: Simplify (log m) into (log m) 12.015 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.015 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.015 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.015 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.015 * [taylor]: Taking taylor expansion of n in n 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.015 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.016 * [backup-simplify]: Simplify (- 0) into 0 12.017 * [backup-simplify]: Simplify (+ 0 0) into 0 12.017 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.018 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m)))))) into 0 12.019 * [taylor]: Taking taylor expansion of 0 in K 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify 0 into 0 12.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.020 * [backup-simplify]: Simplify (- 0) into 0 12.020 * [backup-simplify]: Simplify (+ 0 0) into 0 12.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.021 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.021 * [taylor]: Taking taylor expansion of 0 in K 12.021 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.023 * [backup-simplify]: Simplify (- 0) into 0 12.023 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log K) (log m))))) into 0 12.024 * [backup-simplify]: Simplify (* (exp (* -1/3 (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.024 * [backup-simplify]: Simplify 0 into 0 12.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.025 * [backup-simplify]: Simplify (+ 0 0) into 0 12.025 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (* K n))) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into (/ -1/2 (pow n 2)) 12.026 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.026 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.026 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) 12.027 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) in n 12.027 * [taylor]: Taking taylor expansion of -1/9 in n 12.027 * [backup-simplify]: Simplify -1/9 into -1/9 12.027 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2)) in n 12.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.027 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.027 * [taylor]: Taking taylor expansion of 1/3 in n 12.027 * [backup-simplify]: Simplify 1/3 into 1/3 12.027 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.027 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.027 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.027 * [taylor]: Taking taylor expansion of K in n 12.027 * [backup-simplify]: Simplify K into K 12.027 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.027 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.027 * [taylor]: Taking taylor expansion of (log m) in n 12.027 * [taylor]: Taking taylor expansion of m in n 12.027 * [backup-simplify]: Simplify m into m 12.027 * [backup-simplify]: Simplify (log m) into (log m) 12.027 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.027 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.027 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.027 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.027 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.027 * [taylor]: Taking taylor expansion of n in n 12.027 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (* 1 1) into 1 12.028 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.029 * [backup-simplify]: Simplify (- 0) into 0 12.030 * [backup-simplify]: Simplify (+ 0 0) into 0 12.030 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.034 * [backup-simplify]: Simplify (- 0) into 0 12.035 * [backup-simplify]: Simplify (+ 0 0) into 0 12.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.037 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.039 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.043 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.043 * [taylor]: Taking taylor expansion of 0 in K 12.043 * [backup-simplify]: Simplify 0 into 0 12.043 * [backup-simplify]: Simplify 0 into 0 12.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.046 * [backup-simplify]: Simplify (- 0) into 0 12.046 * [backup-simplify]: Simplify (+ 0 0) into 0 12.047 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.048 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.049 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.049 * [taylor]: Taking taylor expansion of 0 in K 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify 0 into 0 12.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.050 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.052 * [backup-simplify]: Simplify (- 0) into 0 12.052 * [backup-simplify]: Simplify (+ 0 0) into 0 12.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.053 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.053 * [taylor]: Taking taylor expansion of 0 in K 12.053 * [backup-simplify]: Simplify 0 into 0 12.053 * [backup-simplify]: Simplify 0 into 0 12.053 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) into (exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K))))) 12.054 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2) 12.054 * [backup-simplify]: Simplify (cbrt (* (+ m n) K)) into (pow (* K (+ m n)) 1/3) 12.054 * [approximate]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in (m n K) around 0 12.054 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in K 12.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in K 12.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in K 12.054 * [taylor]: Taking taylor expansion of 1/3 in K 12.054 * [backup-simplify]: Simplify 1/3 into 1/3 12.054 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in K 12.054 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 12.054 * [taylor]: Taking taylor expansion of K in K 12.054 * [backup-simplify]: Simplify 0 into 0 12.054 * [backup-simplify]: Simplify 1 into 1 12.054 * [taylor]: Taking taylor expansion of (+ m n) in K 12.054 * [taylor]: Taking taylor expansion of m in K 12.054 * [backup-simplify]: Simplify m into m 12.054 * [taylor]: Taking taylor expansion of n in K 12.054 * [backup-simplify]: Simplify n into n 12.054 * [backup-simplify]: Simplify (+ m n) into (+ m n) 12.054 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 12.054 * [backup-simplify]: Simplify (+ 0 0) into 0 12.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 12.055 * [backup-simplify]: Simplify (log (+ m n)) into (log (+ m n)) 12.055 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) (log (+ m n))) into (+ (log K) (log (+ m n))) 12.055 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log (+ m n)))) into (* 1/3 (+ (log K) (log (+ m n)))) 12.055 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log (+ m n))))) into (exp (* 1/3 (+ (log K) (log (+ m n))))) 12.055 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in n 12.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in n 12.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in n 12.055 * [taylor]: Taking taylor expansion of 1/3 in n 12.055 * [backup-simplify]: Simplify 1/3 into 1/3 12.055 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in n 12.055 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 12.055 * [taylor]: Taking taylor expansion of K in n 12.055 * [backup-simplify]: Simplify K into K 12.055 * [taylor]: Taking taylor expansion of (+ m n) in n 12.055 * [taylor]: Taking taylor expansion of m in n 12.055 * [backup-simplify]: Simplify m into m 12.055 * [taylor]: Taking taylor expansion of n in n 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.055 * [backup-simplify]: Simplify (+ m 0) into m 12.055 * [backup-simplify]: Simplify (* K m) into (* K m) 12.055 * [backup-simplify]: Simplify (log (* K m)) into (log (* K m)) 12.055 * [backup-simplify]: Simplify (* 1/3 (log (* K m))) into (* 1/3 (log (* K m))) 12.055 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K m)))) into (pow (* K m) 1/3) 12.055 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in m 12.055 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in m 12.055 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in m 12.055 * [taylor]: Taking taylor expansion of 1/3 in m 12.055 * [backup-simplify]: Simplify 1/3 into 1/3 12.056 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in m 12.056 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.056 * [taylor]: Taking taylor expansion of K in m 12.056 * [backup-simplify]: Simplify K into K 12.056 * [taylor]: Taking taylor expansion of (+ m n) in m 12.056 * [taylor]: Taking taylor expansion of m in m 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.056 * [taylor]: Taking taylor expansion of n in m 12.056 * [backup-simplify]: Simplify n into n 12.056 * [backup-simplify]: Simplify (+ 0 n) into n 12.056 * [backup-simplify]: Simplify (* K n) into (* K n) 12.056 * [backup-simplify]: Simplify (log (* K n)) into (log (* K n)) 12.056 * [backup-simplify]: Simplify (* 1/3 (log (* K n))) into (* 1/3 (log (* K n))) 12.056 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K n)))) into (pow (* K n) 1/3) 12.056 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in m 12.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in m 12.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in m 12.056 * [taylor]: Taking taylor expansion of 1/3 in m 12.056 * [backup-simplify]: Simplify 1/3 into 1/3 12.056 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in m 12.056 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.056 * [taylor]: Taking taylor expansion of K in m 12.056 * [backup-simplify]: Simplify K into K 12.056 * [taylor]: Taking taylor expansion of (+ m n) in m 12.056 * [taylor]: Taking taylor expansion of m in m 12.056 * [backup-simplify]: Simplify 0 into 0 12.056 * [backup-simplify]: Simplify 1 into 1 12.056 * [taylor]: Taking taylor expansion of n in m 12.056 * [backup-simplify]: Simplify n into n 12.056 * [backup-simplify]: Simplify (+ 0 n) into n 12.056 * [backup-simplify]: Simplify (* K n) into (* K n) 12.056 * [backup-simplify]: Simplify (log (* K n)) into (log (* K n)) 12.056 * [backup-simplify]: Simplify (* 1/3 (log (* K n))) into (* 1/3 (log (* K n))) 12.056 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K n)))) into (pow (* K n) 1/3) 12.056 * [taylor]: Taking taylor expansion of (pow (* K n) 1/3) in n 12.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K n)))) in n 12.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K n))) in n 12.056 * [taylor]: Taking taylor expansion of 1/3 in n 12.056 * [backup-simplify]: Simplify 1/3 into 1/3 12.056 * [taylor]: Taking taylor expansion of (log (* K n)) in n 12.056 * [taylor]: Taking taylor expansion of (* K n) in n 12.056 * [taylor]: Taking taylor expansion of K in n 12.056 * [backup-simplify]: Simplify K into K 12.056 * [taylor]: Taking taylor expansion of n in n 12.056 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 1 into 1 12.057 * [backup-simplify]: Simplify (* K 0) into 0 12.057 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.057 * [backup-simplify]: Simplify (log K) into (log K) 12.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log K)) into (+ (log K) (log n)) 12.057 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log n))) into (* 1/3 (+ (log K) (log n))) 12.057 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 12.057 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log n)))) in K 12.057 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log K) (log n))) in K 12.057 * [taylor]: Taking taylor expansion of 1/3 in K 12.057 * [backup-simplify]: Simplify 1/3 into 1/3 12.057 * [taylor]: Taking taylor expansion of (+ (log K) (log n)) in K 12.057 * [taylor]: Taking taylor expansion of (log K) in K 12.057 * [taylor]: Taking taylor expansion of K in K 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 1 into 1 12.058 * [backup-simplify]: Simplify (log 1) into 0 12.058 * [taylor]: Taking taylor expansion of (log n) in K 12.058 * [taylor]: Taking taylor expansion of n in K 12.058 * [backup-simplify]: Simplify n into n 12.058 * [backup-simplify]: Simplify (log n) into (log n) 12.058 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 12.058 * [backup-simplify]: Simplify (+ (log K) (log n)) into (+ (log K) (log n)) 12.058 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log n))) into (* 1/3 (+ (log K) (log n))) 12.058 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 12.058 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 12.059 * [backup-simplify]: Simplify (+ 1 0) into 1 12.059 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 12.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 K) 1)) (pow (* K n) 1)))) 1) into (/ 1 n) 12.059 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log (* K n)))) into (* 1/3 (/ 1 n)) 12.059 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* K n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ K (pow n 2)) 1/3)) 12.059 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ K (pow n 2)) 1/3)) in n 12.059 * [taylor]: Taking taylor expansion of 1/3 in n 12.059 * [backup-simplify]: Simplify 1/3 into 1/3 12.059 * [taylor]: Taking taylor expansion of (pow (/ K (pow n 2)) 1/3) in n 12.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ K (pow n 2))))) in n 12.059 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ K (pow n 2)))) in n 12.059 * [taylor]: Taking taylor expansion of 1/3 in n 12.059 * [backup-simplify]: Simplify 1/3 into 1/3 12.059 * [taylor]: Taking taylor expansion of (log (/ K (pow n 2))) in n 12.059 * [taylor]: Taking taylor expansion of (/ K (pow n 2)) in n 12.059 * [taylor]: Taking taylor expansion of K in n 12.059 * [backup-simplify]: Simplify K into K 12.059 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.059 * [taylor]: Taking taylor expansion of n in n 12.059 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify 1 into 1 12.060 * [backup-simplify]: Simplify (* 1 1) into 1 12.060 * [backup-simplify]: Simplify (/ K 1) into K 12.060 * [backup-simplify]: Simplify (log K) into (log K) 12.060 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) (log K)) into (- (log K) (* 2 (log n))) 12.060 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 2 (log n)))) into (* 1/3 (- (log K) (* 2 (log n)))) 12.060 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 2 (log n))))) into (exp (* 1/3 (- (log K) (* 2 (log n))))) 12.060 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 12.060 * [taylor]: Taking taylor expansion of (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) in K 12.060 * [taylor]: Taking taylor expansion of 1/3 in K 12.060 * [backup-simplify]: Simplify 1/3 into 1/3 12.060 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log K) (* 2 (log n))))) in K 12.060 * [taylor]: Taking taylor expansion of (* 1/3 (- (log K) (* 2 (log n)))) in K 12.060 * [taylor]: Taking taylor expansion of 1/3 in K 12.060 * [backup-simplify]: Simplify 1/3 into 1/3 12.060 * [taylor]: Taking taylor expansion of (- (log K) (* 2 (log n))) in K 12.060 * [taylor]: Taking taylor expansion of (log K) in K 12.060 * [taylor]: Taking taylor expansion of K in K 12.060 * [backup-simplify]: Simplify 0 into 0 12.060 * [backup-simplify]: Simplify 1 into 1 12.061 * [backup-simplify]: Simplify (log 1) into 0 12.061 * [taylor]: Taking taylor expansion of (* 2 (log n)) in K 12.061 * [taylor]: Taking taylor expansion of 2 in K 12.061 * [backup-simplify]: Simplify 2 into 2 12.061 * [taylor]: Taking taylor expansion of (log n) in K 12.061 * [taylor]: Taking taylor expansion of n in K 12.061 * [backup-simplify]: Simplify n into n 12.061 * [backup-simplify]: Simplify (log n) into (log n) 12.061 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 12.061 * [backup-simplify]: Simplify (* 2 (log n)) into (* 2 (log n)) 12.061 * [backup-simplify]: Simplify (- (* 2 (log n))) into (- (* 2 (log n))) 12.061 * [backup-simplify]: Simplify (+ (log K) (- (* 2 (log n)))) into (- (log K) (* 2 (log n))) 12.062 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 2 (log n)))) into (* 1/3 (- (log K) (* 2 (log n)))) 12.062 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 2 (log n))))) into (exp (* 1/3 (- (log K) (* 2 (log n))))) 12.062 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 12.062 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 12.062 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 12.063 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log K)) into (+ (log K) (log n)) 12.064 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log n)))) into 0 12.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log K) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.064 * [taylor]: Taking taylor expansion of 0 in K 12.064 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify 0 into 0 12.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.066 * [backup-simplify]: Simplify (+ 0 0) into 0 12.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log n)))) into 0 12.067 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log K) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.067 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify (+ 0 0) into 0 12.067 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 12.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 K) 2)) (pow (* K n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* K n) 1)))) 2) into (/ -1/2 (pow n 2)) 12.068 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log (* K n))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.068 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* K n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ K (pow n 5)) 1/3)) 12.068 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ K (pow n 5)) 1/3)) in n 12.068 * [taylor]: Taking taylor expansion of -1/9 in n 12.068 * [backup-simplify]: Simplify -1/9 into -1/9 12.068 * [taylor]: Taking taylor expansion of (pow (/ K (pow n 5)) 1/3) in n 12.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ K (pow n 5))))) in n 12.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ K (pow n 5)))) in n 12.068 * [taylor]: Taking taylor expansion of 1/3 in n 12.068 * [backup-simplify]: Simplify 1/3 into 1/3 12.068 * [taylor]: Taking taylor expansion of (log (/ K (pow n 5))) in n 12.068 * [taylor]: Taking taylor expansion of (/ K (pow n 5)) in n 12.068 * [taylor]: Taking taylor expansion of K in n 12.068 * [backup-simplify]: Simplify K into K 12.069 * [taylor]: Taking taylor expansion of (pow n 5) in n 12.069 * [taylor]: Taking taylor expansion of n in n 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (* 1 1) into 1 12.069 * [backup-simplify]: Simplify (* 1 1) into 1 12.069 * [backup-simplify]: Simplify (* 1 1) into 1 12.069 * [backup-simplify]: Simplify (/ K 1) into K 12.069 * [backup-simplify]: Simplify (log K) into (log K) 12.070 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) (log K)) into (- (log K) (* 5 (log n))) 12.070 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 5 (log n)))) into (* 1/3 (- (log K) (* 5 (log n)))) 12.070 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 5 (log n))))) into (exp (* 1/3 (- (log K) (* 5 (log n))))) 12.070 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 12.070 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) in K 12.070 * [taylor]: Taking taylor expansion of -1/9 in K 12.070 * [backup-simplify]: Simplify -1/9 into -1/9 12.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log K) (* 5 (log n))))) in K 12.070 * [taylor]: Taking taylor expansion of (* 1/3 (- (log K) (* 5 (log n)))) in K 12.070 * [taylor]: Taking taylor expansion of 1/3 in K 12.070 * [backup-simplify]: Simplify 1/3 into 1/3 12.070 * [taylor]: Taking taylor expansion of (- (log K) (* 5 (log n))) in K 12.070 * [taylor]: Taking taylor expansion of (log K) in K 12.070 * [taylor]: Taking taylor expansion of K in K 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (log 1) into 0 12.070 * [taylor]: Taking taylor expansion of (* 5 (log n)) in K 12.070 * [taylor]: Taking taylor expansion of 5 in K 12.070 * [backup-simplify]: Simplify 5 into 5 12.070 * [taylor]: Taking taylor expansion of (log n) in K 12.070 * [taylor]: Taking taylor expansion of n in K 12.070 * [backup-simplify]: Simplify n into n 12.070 * [backup-simplify]: Simplify (log n) into (log n) 12.071 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 12.071 * [backup-simplify]: Simplify (* 5 (log n)) into (* 5 (log n)) 12.071 * [backup-simplify]: Simplify (- (* 5 (log n))) into (- (* 5 (log n))) 12.071 * [backup-simplify]: Simplify (+ (log K) (- (* 5 (log n)))) into (- (log K) (* 5 (log n))) 12.071 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 5 (log n)))) into (* 1/3 (- (log K) (* 5 (log n)))) 12.071 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 5 (log n))))) into (exp (* 1/3 (- (log K) (* 5 (log n))))) 12.071 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 12.071 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 12.072 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) (pow (* 1 (* 1 m)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) (* 1 (* 1 m))) (exp (* 1/3 (+ (log K) (log n)))))) into (- (+ (* 1/3 (* m (exp (* 1/3 (- (log K) (* 2 (log n))))))) (exp (* 1/3 (+ (log K) (log n))))) (* 1/9 (* (exp (* 1/3 (- (log K) (* 5 (log n))))) (pow m 2)))) 12.072 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 m) (/ 1 n)) (/ 1 K))) into (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) 12.072 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in (m n K) around 0 12.072 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in K 12.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in K 12.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in K 12.072 * [taylor]: Taking taylor expansion of 1/3 in K 12.072 * [backup-simplify]: Simplify 1/3 into 1/3 12.072 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in K 12.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.072 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.072 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.072 * [taylor]: Taking taylor expansion of m in K 12.072 * [backup-simplify]: Simplify m into m 12.072 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.072 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.072 * [taylor]: Taking taylor expansion of n in K 12.072 * [backup-simplify]: Simplify n into n 12.072 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.072 * [taylor]: Taking taylor expansion of K in K 12.073 * [backup-simplify]: Simplify 0 into 0 12.073 * [backup-simplify]: Simplify 1 into 1 12.073 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.073 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.073 * [backup-simplify]: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) 12.074 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 m) (/ 1 n)))) into (- (log (+ (/ 1 m) (/ 1 n))) (log K)) 12.074 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) into (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) 12.074 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) into (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) 12.074 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in n 12.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in n 12.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in n 12.074 * [taylor]: Taking taylor expansion of 1/3 in n 12.074 * [backup-simplify]: Simplify 1/3 into 1/3 12.074 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in n 12.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.074 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.074 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.074 * [taylor]: Taking taylor expansion of m in n 12.074 * [backup-simplify]: Simplify m into m 12.074 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.074 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.074 * [taylor]: Taking taylor expansion of n in n 12.074 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify 1 into 1 12.075 * [backup-simplify]: Simplify (/ 1 1) into 1 12.075 * [taylor]: Taking taylor expansion of K in n 12.075 * [backup-simplify]: Simplify K into K 12.075 * [backup-simplify]: Simplify (+ 0 1) into 1 12.075 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.076 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) 12.076 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log n))) into (* 1/3 (- (log (/ 1 K)) (log n))) 12.076 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1 K)) (log n)))) 12.076 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.076 * [taylor]: Taking taylor expansion of 1/3 in m 12.076 * [backup-simplify]: Simplify 1/3 into 1/3 12.077 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.077 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.077 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.077 * [taylor]: Taking taylor expansion of m in m 12.077 * [backup-simplify]: Simplify 0 into 0 12.077 * [backup-simplify]: Simplify 1 into 1 12.077 * [backup-simplify]: Simplify (/ 1 1) into 1 12.077 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.077 * [taylor]: Taking taylor expansion of n in m 12.077 * [backup-simplify]: Simplify n into n 12.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.077 * [taylor]: Taking taylor expansion of K in m 12.077 * [backup-simplify]: Simplify K into K 12.078 * [backup-simplify]: Simplify (+ 1 0) into 1 12.078 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.078 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.078 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.079 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.079 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.079 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.079 * [taylor]: Taking taylor expansion of 1/3 in m 12.079 * [backup-simplify]: Simplify 1/3 into 1/3 12.079 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.079 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.079 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.079 * [taylor]: Taking taylor expansion of m in m 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 1 into 1 12.079 * [backup-simplify]: Simplify (/ 1 1) into 1 12.079 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.079 * [taylor]: Taking taylor expansion of n in m 12.080 * [backup-simplify]: Simplify n into n 12.080 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.080 * [taylor]: Taking taylor expansion of K in m 12.080 * [backup-simplify]: Simplify K into K 12.080 * [backup-simplify]: Simplify (+ 1 0) into 1 12.080 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.080 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.081 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.081 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.081 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.081 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.081 * [taylor]: Taking taylor expansion of 1/3 in n 12.081 * [backup-simplify]: Simplify 1/3 into 1/3 12.081 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.081 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.081 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.081 * [taylor]: Taking taylor expansion of K in n 12.081 * [backup-simplify]: Simplify K into K 12.081 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.081 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.082 * [taylor]: Taking taylor expansion of (log m) in n 12.082 * [taylor]: Taking taylor expansion of m in n 12.082 * [backup-simplify]: Simplify m into m 12.082 * [backup-simplify]: Simplify (log m) into (log m) 12.082 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.082 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.082 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.082 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in K 12.082 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in K 12.082 * [taylor]: Taking taylor expansion of 1/3 in K 12.082 * [backup-simplify]: Simplify 1/3 into 1/3 12.082 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in K 12.082 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in K 12.082 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.082 * [taylor]: Taking taylor expansion of K in K 12.082 * [backup-simplify]: Simplify 0 into 0 12.082 * [backup-simplify]: Simplify 1 into 1 12.083 * [backup-simplify]: Simplify (/ 1 1) into 1 12.083 * [backup-simplify]: Simplify (log 1) into 0 12.083 * [taylor]: Taking taylor expansion of (log m) in K 12.083 * [taylor]: Taking taylor expansion of m in K 12.083 * [backup-simplify]: Simplify m into m 12.083 * [backup-simplify]: Simplify (log m) into (log m) 12.084 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) 0) into (- (log K)) 12.084 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.084 * [backup-simplify]: Simplify (+ (- (log K)) (- (log m))) into (- (+ (log K) (log m))) 12.084 * [backup-simplify]: Simplify (* 1/3 (- (+ (log K) (log m)))) into (* -1/3 (+ (log K) (log m))) 12.084 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.084 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.085 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.085 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (* K n))) 1)) (pow (/ 1 K) 1)))) 1) into (/ 1 n) 12.086 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.086 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m)))) into (* 1/3 (/ 1 n)) 12.087 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) 12.087 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) in n 12.087 * [taylor]: Taking taylor expansion of 1/3 in n 12.087 * [backup-simplify]: Simplify 1/3 into 1/3 12.087 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n) in n 12.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.087 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.087 * [taylor]: Taking taylor expansion of 1/3 in n 12.087 * [backup-simplify]: Simplify 1/3 into 1/3 12.087 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.087 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.087 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.087 * [taylor]: Taking taylor expansion of K in n 12.087 * [backup-simplify]: Simplify K into K 12.087 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.087 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.087 * [taylor]: Taking taylor expansion of (log m) in n 12.087 * [taylor]: Taking taylor expansion of m in n 12.087 * [backup-simplify]: Simplify m into m 12.087 * [backup-simplify]: Simplify (log m) into (log m) 12.087 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.088 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.088 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.088 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.088 * [taylor]: Taking taylor expansion of n in n 12.088 * [backup-simplify]: Simplify 0 into 0 12.088 * [backup-simplify]: Simplify 1 into 1 12.088 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.089 * [backup-simplify]: Simplify (- 0) into 0 12.090 * [backup-simplify]: Simplify (+ 0 0) into 0 12.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.090 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m)))))) into 0 12.091 * [taylor]: Taking taylor expansion of 0 in K 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.093 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.093 * [backup-simplify]: Simplify (- 0) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.093 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.094 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.094 * [taylor]: Taking taylor expansion of 0 in K 12.094 * [backup-simplify]: Simplify 0 into 0 12.094 * [backup-simplify]: Simplify 0 into 0 12.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.095 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.096 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.096 * [backup-simplify]: Simplify (- 0) into 0 12.096 * [backup-simplify]: Simplify (+ 0 0) into 0 12.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log K) (log m))))) into 0 12.097 * [backup-simplify]: Simplify (* (exp (* -1/3 (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.097 * [backup-simplify]: Simplify 0 into 0 12.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.098 * [backup-simplify]: Simplify (+ 0 0) into 0 12.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (* K n))) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into (/ -1/2 (pow n 2)) 12.099 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.099 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.100 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) 12.100 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) in n 12.100 * [taylor]: Taking taylor expansion of -1/9 in n 12.100 * [backup-simplify]: Simplify -1/9 into -1/9 12.100 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2)) in n 12.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.100 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.100 * [taylor]: Taking taylor expansion of 1/3 in n 12.100 * [backup-simplify]: Simplify 1/3 into 1/3 12.100 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.100 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.100 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.100 * [taylor]: Taking taylor expansion of K in n 12.100 * [backup-simplify]: Simplify K into K 12.100 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.100 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.100 * [taylor]: Taking taylor expansion of (log m) in n 12.100 * [taylor]: Taking taylor expansion of m in n 12.100 * [backup-simplify]: Simplify m into m 12.100 * [backup-simplify]: Simplify (log m) into (log m) 12.100 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.100 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.100 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.100 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.100 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.100 * [taylor]: Taking taylor expansion of n in n 12.100 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify 1 into 1 12.100 * [backup-simplify]: Simplify (* 1 1) into 1 12.101 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.102 * [backup-simplify]: Simplify (- 0) into 0 12.102 * [backup-simplify]: Simplify (+ 0 0) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.103 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.105 * [backup-simplify]: Simplify (- 0) into 0 12.105 * [backup-simplify]: Simplify (+ 0 0) into 0 12.105 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.106 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.107 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.113 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.113 * [taylor]: Taking taylor expansion of 0 in K 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.114 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.115 * [backup-simplify]: Simplify (- 0) into 0 12.116 * [backup-simplify]: Simplify (+ 0 0) into 0 12.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.117 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.120 * [taylor]: Taking taylor expansion of 0 in K 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.124 * [backup-simplify]: Simplify (- 0) into 0 12.124 * [backup-simplify]: Simplify (+ 0 0) into 0 12.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.125 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.125 * [taylor]: Taking taylor expansion of 0 in K 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log (/ 1 K)) (log (/ 1 m))))) into (exp (* -1/3 (+ (log (/ 1 m)) (log (/ 1 K))))) 12.126 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K)))) into (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) 12.126 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in (m n K) around 0 12.126 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in K 12.126 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in K 12.126 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in K 12.126 * [taylor]: Taking taylor expansion of 1/3 in K 12.126 * [backup-simplify]: Simplify 1/3 into 1/3 12.126 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in K 12.126 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.126 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.126 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.126 * [taylor]: Taking taylor expansion of m in K 12.126 * [backup-simplify]: Simplify m into m 12.126 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.126 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.126 * [taylor]: Taking taylor expansion of n in K 12.126 * [backup-simplify]: Simplify n into n 12.126 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.126 * [taylor]: Taking taylor expansion of K in K 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.126 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.126 * [backup-simplify]: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) 12.127 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 m) (/ 1 n)))) into (- (log (+ (/ 1 m) (/ 1 n))) (log K)) 12.127 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) into (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) 12.127 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) into (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) 12.127 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in n 12.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in n 12.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in n 12.127 * [taylor]: Taking taylor expansion of 1/3 in n 12.127 * [backup-simplify]: Simplify 1/3 into 1/3 12.127 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in n 12.127 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.127 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.127 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.127 * [taylor]: Taking taylor expansion of m in n 12.127 * [backup-simplify]: Simplify m into m 12.127 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.127 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.127 * [taylor]: Taking taylor expansion of n in n 12.127 * [backup-simplify]: Simplify 0 into 0 12.127 * [backup-simplify]: Simplify 1 into 1 12.127 * [backup-simplify]: Simplify (/ 1 1) into 1 12.127 * [taylor]: Taking taylor expansion of K in n 12.127 * [backup-simplify]: Simplify K into K 12.128 * [backup-simplify]: Simplify (+ 0 1) into 1 12.128 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.128 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) 12.128 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log n))) into (* 1/3 (- (log (/ 1 K)) (log n))) 12.128 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1 K)) (log n)))) 12.128 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.128 * [taylor]: Taking taylor expansion of 1/3 in m 12.128 * [backup-simplify]: Simplify 1/3 into 1/3 12.128 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.128 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.128 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.128 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.128 * [taylor]: Taking taylor expansion of m in m 12.128 * [backup-simplify]: Simplify 0 into 0 12.128 * [backup-simplify]: Simplify 1 into 1 12.129 * [backup-simplify]: Simplify (/ 1 1) into 1 12.129 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.129 * [taylor]: Taking taylor expansion of n in m 12.129 * [backup-simplify]: Simplify n into n 12.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.129 * [taylor]: Taking taylor expansion of K in m 12.129 * [backup-simplify]: Simplify K into K 12.129 * [backup-simplify]: Simplify (+ 1 0) into 1 12.129 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.129 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.129 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.130 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.130 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.130 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.130 * [taylor]: Taking taylor expansion of 1/3 in m 12.130 * [backup-simplify]: Simplify 1/3 into 1/3 12.130 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.130 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.130 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.130 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.130 * [taylor]: Taking taylor expansion of m in m 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 1 into 1 12.130 * [backup-simplify]: Simplify (/ 1 1) into 1 12.130 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.130 * [taylor]: Taking taylor expansion of n in m 12.130 * [backup-simplify]: Simplify n into n 12.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.130 * [taylor]: Taking taylor expansion of K in m 12.130 * [backup-simplify]: Simplify K into K 12.130 * [backup-simplify]: Simplify (+ 1 0) into 1 12.130 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.131 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.131 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.131 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.131 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.131 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.131 * [taylor]: Taking taylor expansion of 1/3 in n 12.131 * [backup-simplify]: Simplify 1/3 into 1/3 12.131 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.131 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.131 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.131 * [taylor]: Taking taylor expansion of K in n 12.131 * [backup-simplify]: Simplify K into K 12.131 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.131 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.131 * [taylor]: Taking taylor expansion of (log m) in n 12.131 * [taylor]: Taking taylor expansion of m in n 12.131 * [backup-simplify]: Simplify m into m 12.131 * [backup-simplify]: Simplify (log m) into (log m) 12.131 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.131 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.131 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.132 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in K 12.132 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in K 12.132 * [taylor]: Taking taylor expansion of 1/3 in K 12.132 * [backup-simplify]: Simplify 1/3 into 1/3 12.132 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in K 12.132 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in K 12.132 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.132 * [taylor]: Taking taylor expansion of K in K 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 1 into 1 12.132 * [backup-simplify]: Simplify (/ 1 1) into 1 12.132 * [backup-simplify]: Simplify (log 1) into 0 12.132 * [taylor]: Taking taylor expansion of (log m) in K 12.132 * [taylor]: Taking taylor expansion of m in K 12.132 * [backup-simplify]: Simplify m into m 12.132 * [backup-simplify]: Simplify (log m) into (log m) 12.133 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) 0) into (- (log K)) 12.133 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.133 * [backup-simplify]: Simplify (+ (- (log K)) (- (log m))) into (- (+ (log K) (log m))) 12.133 * [backup-simplify]: Simplify (* 1/3 (- (+ (log K) (log m)))) into (* -1/3 (+ (log K) (log m))) 12.133 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.133 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.134 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (* K n))) 1)) (pow (/ 1 K) 1)))) 1) into (/ 1 n) 12.134 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.134 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m)))) into (* 1/3 (/ 1 n)) 12.134 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) 12.134 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) in n 12.134 * [taylor]: Taking taylor expansion of 1/3 in n 12.134 * [backup-simplify]: Simplify 1/3 into 1/3 12.134 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n) in n 12.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.135 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.135 * [taylor]: Taking taylor expansion of 1/3 in n 12.135 * [backup-simplify]: Simplify 1/3 into 1/3 12.135 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.135 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.135 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.135 * [taylor]: Taking taylor expansion of K in n 12.135 * [backup-simplify]: Simplify K into K 12.135 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.135 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.135 * [taylor]: Taking taylor expansion of (log m) in n 12.135 * [taylor]: Taking taylor expansion of m in n 12.135 * [backup-simplify]: Simplify m into m 12.135 * [backup-simplify]: Simplify (log m) into (log m) 12.135 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.135 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.135 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.135 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.135 * [taylor]: Taking taylor expansion of n in n 12.135 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify 1 into 1 12.135 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.136 * [backup-simplify]: Simplify (- 0) into 0 12.137 * [backup-simplify]: Simplify (+ 0 0) into 0 12.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m)))))) into 0 12.138 * [taylor]: Taking taylor expansion of 0 in K 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.140 * [backup-simplify]: Simplify (- 0) into 0 12.140 * [backup-simplify]: Simplify (+ 0 0) into 0 12.140 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.141 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.141 * [taylor]: Taking taylor expansion of 0 in K 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.142 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.143 * [backup-simplify]: Simplify (- 0) into 0 12.143 * [backup-simplify]: Simplify (+ 0 0) into 0 12.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log K) (log m))))) into 0 12.144 * [backup-simplify]: Simplify (* (exp (* -1/3 (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.144 * [backup-simplify]: Simplify 0 into 0 12.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.145 * [backup-simplify]: Simplify (+ 0 0) into 0 12.145 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (* K n))) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into (/ -1/2 (pow n 2)) 12.146 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.147 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.147 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) 12.147 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) in n 12.147 * [taylor]: Taking taylor expansion of -1/9 in n 12.147 * [backup-simplify]: Simplify -1/9 into -1/9 12.147 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2)) in n 12.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.147 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.147 * [taylor]: Taking taylor expansion of 1/3 in n 12.147 * [backup-simplify]: Simplify 1/3 into 1/3 12.147 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.147 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.147 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.147 * [taylor]: Taking taylor expansion of K in n 12.147 * [backup-simplify]: Simplify K into K 12.147 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.147 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.147 * [taylor]: Taking taylor expansion of (log m) in n 12.147 * [taylor]: Taking taylor expansion of m in n 12.147 * [backup-simplify]: Simplify m into m 12.147 * [backup-simplify]: Simplify (log m) into (log m) 12.147 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.147 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.147 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.148 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.148 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.148 * [taylor]: Taking taylor expansion of n in n 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 1 into 1 12.148 * [backup-simplify]: Simplify (* 1 1) into 1 12.148 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.149 * [backup-simplify]: Simplify (- 0) into 0 12.149 * [backup-simplify]: Simplify (+ 0 0) into 0 12.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.152 * [backup-simplify]: Simplify (- 0) into 0 12.152 * [backup-simplify]: Simplify (+ 0 0) into 0 12.153 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.157 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.160 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.160 * [taylor]: Taking taylor expansion of 0 in K 12.160 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify 0 into 0 12.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.161 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.162 * [backup-simplify]: Simplify (- 0) into 0 12.163 * [backup-simplify]: Simplify (+ 0 0) into 0 12.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.166 * [taylor]: Taking taylor expansion of 0 in K 12.166 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify 0 into 0 12.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.168 * [backup-simplify]: Simplify (- 0) into 0 12.168 * [backup-simplify]: Simplify (+ 0 0) into 0 12.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.169 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.169 * [taylor]: Taking taylor expansion of 0 in K 12.169 * [backup-simplify]: Simplify 0 into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) into (exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K))))) 12.170 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 12.170 * [backup-simplify]: Simplify (cbrt (* (+ m n) K)) into (pow (* K (+ m n)) 1/3) 12.170 * [approximate]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in (m n K) around 0 12.170 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in K 12.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in K 12.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in K 12.170 * [taylor]: Taking taylor expansion of 1/3 in K 12.170 * [backup-simplify]: Simplify 1/3 into 1/3 12.170 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in K 12.170 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 12.170 * [taylor]: Taking taylor expansion of K in K 12.170 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify 1 into 1 12.170 * [taylor]: Taking taylor expansion of (+ m n) in K 12.170 * [taylor]: Taking taylor expansion of m in K 12.170 * [backup-simplify]: Simplify m into m 12.170 * [taylor]: Taking taylor expansion of n in K 12.170 * [backup-simplify]: Simplify n into n 12.170 * [backup-simplify]: Simplify (+ m n) into (+ m n) 12.170 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 12.170 * [backup-simplify]: Simplify (+ 0 0) into 0 12.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 12.171 * [backup-simplify]: Simplify (log (+ m n)) into (log (+ m n)) 12.171 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) (log (+ m n))) into (+ (log K) (log (+ m n))) 12.171 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log (+ m n)))) into (* 1/3 (+ (log K) (log (+ m n)))) 12.171 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log (+ m n))))) into (exp (* 1/3 (+ (log K) (log (+ m n))))) 12.171 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in n 12.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in n 12.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in n 12.171 * [taylor]: Taking taylor expansion of 1/3 in n 12.171 * [backup-simplify]: Simplify 1/3 into 1/3 12.171 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in n 12.171 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 12.171 * [taylor]: Taking taylor expansion of K in n 12.171 * [backup-simplify]: Simplify K into K 12.171 * [taylor]: Taking taylor expansion of (+ m n) in n 12.171 * [taylor]: Taking taylor expansion of m in n 12.171 * [backup-simplify]: Simplify m into m 12.171 * [taylor]: Taking taylor expansion of n in n 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify 1 into 1 12.171 * [backup-simplify]: Simplify (+ m 0) into m 12.171 * [backup-simplify]: Simplify (* K m) into (* K m) 12.171 * [backup-simplify]: Simplify (log (* K m)) into (log (* K m)) 12.171 * [backup-simplify]: Simplify (* 1/3 (log (* K m))) into (* 1/3 (log (* K m))) 12.172 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K m)))) into (pow (* K m) 1/3) 12.172 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in m 12.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in m 12.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in m 12.172 * [taylor]: Taking taylor expansion of 1/3 in m 12.172 * [backup-simplify]: Simplify 1/3 into 1/3 12.172 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in m 12.172 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.172 * [taylor]: Taking taylor expansion of K in m 12.172 * [backup-simplify]: Simplify K into K 12.172 * [taylor]: Taking taylor expansion of (+ m n) in m 12.172 * [taylor]: Taking taylor expansion of m in m 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [taylor]: Taking taylor expansion of n in m 12.172 * [backup-simplify]: Simplify n into n 12.172 * [backup-simplify]: Simplify (+ 0 n) into n 12.172 * [backup-simplify]: Simplify (* K n) into (* K n) 12.172 * [backup-simplify]: Simplify (log (* K n)) into (log (* K n)) 12.172 * [backup-simplify]: Simplify (* 1/3 (log (* K n))) into (* 1/3 (log (* K n))) 12.172 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K n)))) into (pow (* K n) 1/3) 12.172 * [taylor]: Taking taylor expansion of (pow (* K (+ m n)) 1/3) in m 12.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K (+ m n))))) in m 12.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K (+ m n)))) in m 12.172 * [taylor]: Taking taylor expansion of 1/3 in m 12.172 * [backup-simplify]: Simplify 1/3 into 1/3 12.172 * [taylor]: Taking taylor expansion of (log (* K (+ m n))) in m 12.172 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.172 * [taylor]: Taking taylor expansion of K in m 12.172 * [backup-simplify]: Simplify K into K 12.172 * [taylor]: Taking taylor expansion of (+ m n) in m 12.172 * [taylor]: Taking taylor expansion of m in m 12.172 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify 1 into 1 12.172 * [taylor]: Taking taylor expansion of n in m 12.172 * [backup-simplify]: Simplify n into n 12.172 * [backup-simplify]: Simplify (+ 0 n) into n 12.172 * [backup-simplify]: Simplify (* K n) into (* K n) 12.172 * [backup-simplify]: Simplify (log (* K n)) into (log (* K n)) 12.172 * [backup-simplify]: Simplify (* 1/3 (log (* K n))) into (* 1/3 (log (* K n))) 12.172 * [backup-simplify]: Simplify (exp (* 1/3 (log (* K n)))) into (pow (* K n) 1/3) 12.172 * [taylor]: Taking taylor expansion of (pow (* K n) 1/3) in n 12.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* K n)))) in n 12.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (* K n))) in n 12.173 * [taylor]: Taking taylor expansion of 1/3 in n 12.173 * [backup-simplify]: Simplify 1/3 into 1/3 12.173 * [taylor]: Taking taylor expansion of (log (* K n)) in n 12.173 * [taylor]: Taking taylor expansion of (* K n) in n 12.173 * [taylor]: Taking taylor expansion of K in n 12.173 * [backup-simplify]: Simplify K into K 12.173 * [taylor]: Taking taylor expansion of n in n 12.173 * [backup-simplify]: Simplify 0 into 0 12.173 * [backup-simplify]: Simplify 1 into 1 12.173 * [backup-simplify]: Simplify (* K 0) into 0 12.173 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.173 * [backup-simplify]: Simplify (log K) into (log K) 12.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log K)) into (+ (log K) (log n)) 12.173 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log n))) into (* 1/3 (+ (log K) (log n))) 12.173 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 12.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log K) (log n)))) in K 12.173 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log K) (log n))) in K 12.173 * [taylor]: Taking taylor expansion of 1/3 in K 12.173 * [backup-simplify]: Simplify 1/3 into 1/3 12.173 * [taylor]: Taking taylor expansion of (+ (log K) (log n)) in K 12.173 * [taylor]: Taking taylor expansion of (log K) in K 12.173 * [taylor]: Taking taylor expansion of K in K 12.174 * [backup-simplify]: Simplify 0 into 0 12.174 * [backup-simplify]: Simplify 1 into 1 12.174 * [backup-simplify]: Simplify (log 1) into 0 12.174 * [taylor]: Taking taylor expansion of (log n) in K 12.174 * [taylor]: Taking taylor expansion of n in K 12.174 * [backup-simplify]: Simplify n into n 12.174 * [backup-simplify]: Simplify (log n) into (log n) 12.174 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 12.174 * [backup-simplify]: Simplify (+ (log K) (log n)) into (+ (log K) (log n)) 12.174 * [backup-simplify]: Simplify (* 1/3 (+ (log K) (log n))) into (* 1/3 (+ (log K) (log n))) 12.174 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 12.174 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log K) (log n)))) into (exp (* 1/3 (+ (log K) (log n)))) 12.175 * [backup-simplify]: Simplify (+ 1 0) into 1 12.175 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 12.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 K) 1)) (pow (* K n) 1)))) 1) into (/ 1 n) 12.175 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (log (* K n)))) into (* 1/3 (/ 1 n)) 12.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* K n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (pow (/ K (pow n 2)) 1/3)) 12.175 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ K (pow n 2)) 1/3)) in n 12.175 * [taylor]: Taking taylor expansion of 1/3 in n 12.175 * [backup-simplify]: Simplify 1/3 into 1/3 12.175 * [taylor]: Taking taylor expansion of (pow (/ K (pow n 2)) 1/3) in n 12.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ K (pow n 2))))) in n 12.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ K (pow n 2)))) in n 12.175 * [taylor]: Taking taylor expansion of 1/3 in n 12.175 * [backup-simplify]: Simplify 1/3 into 1/3 12.175 * [taylor]: Taking taylor expansion of (log (/ K (pow n 2))) in n 12.175 * [taylor]: Taking taylor expansion of (/ K (pow n 2)) in n 12.175 * [taylor]: Taking taylor expansion of K in n 12.175 * [backup-simplify]: Simplify K into K 12.175 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.175 * [taylor]: Taking taylor expansion of n in n 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify 1 into 1 12.176 * [backup-simplify]: Simplify (* 1 1) into 1 12.176 * [backup-simplify]: Simplify (/ K 1) into K 12.176 * [backup-simplify]: Simplify (log K) into (log K) 12.176 * [backup-simplify]: Simplify (+ (* (- 2) (log n)) (log K)) into (- (log K) (* 2 (log n))) 12.176 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 2 (log n)))) into (* 1/3 (- (log K) (* 2 (log n)))) 12.176 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 2 (log n))))) into (exp (* 1/3 (- (log K) (* 2 (log n))))) 12.176 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 12.176 * [taylor]: Taking taylor expansion of (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) in K 12.176 * [taylor]: Taking taylor expansion of 1/3 in K 12.176 * [backup-simplify]: Simplify 1/3 into 1/3 12.176 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log K) (* 2 (log n))))) in K 12.176 * [taylor]: Taking taylor expansion of (* 1/3 (- (log K) (* 2 (log n)))) in K 12.176 * [taylor]: Taking taylor expansion of 1/3 in K 12.176 * [backup-simplify]: Simplify 1/3 into 1/3 12.176 * [taylor]: Taking taylor expansion of (- (log K) (* 2 (log n))) in K 12.176 * [taylor]: Taking taylor expansion of (log K) in K 12.176 * [taylor]: Taking taylor expansion of K in K 12.176 * [backup-simplify]: Simplify 0 into 0 12.176 * [backup-simplify]: Simplify 1 into 1 12.177 * [backup-simplify]: Simplify (log 1) into 0 12.177 * [taylor]: Taking taylor expansion of (* 2 (log n)) in K 12.177 * [taylor]: Taking taylor expansion of 2 in K 12.177 * [backup-simplify]: Simplify 2 into 2 12.177 * [taylor]: Taking taylor expansion of (log n) in K 12.177 * [taylor]: Taking taylor expansion of n in K 12.177 * [backup-simplify]: Simplify n into n 12.177 * [backup-simplify]: Simplify (log n) into (log n) 12.177 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 12.177 * [backup-simplify]: Simplify (* 2 (log n)) into (* 2 (log n)) 12.177 * [backup-simplify]: Simplify (- (* 2 (log n))) into (- (* 2 (log n))) 12.177 * [backup-simplify]: Simplify (+ (log K) (- (* 2 (log n)))) into (- (log K) (* 2 (log n))) 12.177 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 2 (log n)))) into (* 1/3 (- (log K) (* 2 (log n)))) 12.177 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 2 (log n))))) into (exp (* 1/3 (- (log K) (* 2 (log n))))) 12.177 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 12.178 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) into (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) 12.178 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow K 1)))) 1) into 0 12.179 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log K)) into (+ (log K) (log n)) 12.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log n)))) into 0 12.180 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log K) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.180 * [taylor]: Taking taylor expansion of 0 in K 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.181 * [backup-simplify]: Simplify (+ 0 0) into 0 12.181 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log K) (log n)))) into 0 12.182 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log K) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.182 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify (+ 0 0) into 0 12.182 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 12.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 K) 2)) (pow (* K n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* K n) 1)))) 2) into (/ -1/2 (pow n 2)) 12.183 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (log (* K n))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* K n)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (pow (/ K (pow n 5)) 1/3)) 12.184 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ K (pow n 5)) 1/3)) in n 12.184 * [taylor]: Taking taylor expansion of -1/9 in n 12.184 * [backup-simplify]: Simplify -1/9 into -1/9 12.184 * [taylor]: Taking taylor expansion of (pow (/ K (pow n 5)) 1/3) in n 12.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ K (pow n 5))))) in n 12.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ K (pow n 5)))) in n 12.184 * [taylor]: Taking taylor expansion of 1/3 in n 12.184 * [backup-simplify]: Simplify 1/3 into 1/3 12.184 * [taylor]: Taking taylor expansion of (log (/ K (pow n 5))) in n 12.184 * [taylor]: Taking taylor expansion of (/ K (pow n 5)) in n 12.184 * [taylor]: Taking taylor expansion of K in n 12.184 * [backup-simplify]: Simplify K into K 12.184 * [taylor]: Taking taylor expansion of (pow n 5) in n 12.184 * [taylor]: Taking taylor expansion of n in n 12.184 * [backup-simplify]: Simplify 0 into 0 12.184 * [backup-simplify]: Simplify 1 into 1 12.184 * [backup-simplify]: Simplify (* 1 1) into 1 12.184 * [backup-simplify]: Simplify (* 1 1) into 1 12.184 * [backup-simplify]: Simplify (* 1 1) into 1 12.185 * [backup-simplify]: Simplify (/ K 1) into K 12.185 * [backup-simplify]: Simplify (log K) into (log K) 12.185 * [backup-simplify]: Simplify (+ (* (- 5) (log n)) (log K)) into (- (log K) (* 5 (log n))) 12.185 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 5 (log n)))) into (* 1/3 (- (log K) (* 5 (log n)))) 12.185 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 5 (log n))))) into (exp (* 1/3 (- (log K) (* 5 (log n))))) 12.185 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 12.185 * [taylor]: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) in K 12.185 * [taylor]: Taking taylor expansion of -1/9 in K 12.185 * [backup-simplify]: Simplify -1/9 into -1/9 12.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log K) (* 5 (log n))))) in K 12.185 * [taylor]: Taking taylor expansion of (* 1/3 (- (log K) (* 5 (log n)))) in K 12.185 * [taylor]: Taking taylor expansion of 1/3 in K 12.185 * [backup-simplify]: Simplify 1/3 into 1/3 12.185 * [taylor]: Taking taylor expansion of (- (log K) (* 5 (log n))) in K 12.185 * [taylor]: Taking taylor expansion of (log K) in K 12.185 * [taylor]: Taking taylor expansion of K in K 12.185 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify 1 into 1 12.186 * [backup-simplify]: Simplify (log 1) into 0 12.186 * [taylor]: Taking taylor expansion of (* 5 (log n)) in K 12.186 * [taylor]: Taking taylor expansion of 5 in K 12.186 * [backup-simplify]: Simplify 5 into 5 12.186 * [taylor]: Taking taylor expansion of (log n) in K 12.186 * [taylor]: Taking taylor expansion of n in K 12.186 * [backup-simplify]: Simplify n into n 12.186 * [backup-simplify]: Simplify (log n) into (log n) 12.186 * [backup-simplify]: Simplify (+ (* (- -1) (log K)) 0) into (log K) 12.186 * [backup-simplify]: Simplify (* 5 (log n)) into (* 5 (log n)) 12.186 * [backup-simplify]: Simplify (- (* 5 (log n))) into (- (* 5 (log n))) 12.186 * [backup-simplify]: Simplify (+ (log K) (- (* 5 (log n)))) into (- (log K) (* 5 (log n))) 12.186 * [backup-simplify]: Simplify (* 1/3 (- (log K) (* 5 (log n)))) into (* 1/3 (- (log K) (* 5 (log n)))) 12.186 * [backup-simplify]: Simplify (exp (* 1/3 (- (log K) (* 5 (log n))))) into (exp (* 1/3 (- (log K) (* 5 (log n))))) 12.186 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 12.187 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) into (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) 12.187 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log K) (* 5 (log n)))))) (pow (* 1 (* 1 m)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log K) (* 2 (log n)))))) (* 1 (* 1 m))) (exp (* 1/3 (+ (log K) (log n)))))) into (- (+ (* 1/3 (* m (exp (* 1/3 (- (log K) (* 2 (log n))))))) (exp (* 1/3 (+ (log K) (log n))))) (* 1/9 (* (exp (* 1/3 (- (log K) (* 5 (log n))))) (pow m 2)))) 12.187 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 m) (/ 1 n)) (/ 1 K))) into (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) 12.187 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in (m n K) around 0 12.187 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in K 12.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in K 12.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in K 12.187 * [taylor]: Taking taylor expansion of 1/3 in K 12.187 * [backup-simplify]: Simplify 1/3 into 1/3 12.187 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in K 12.187 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.187 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.187 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.187 * [taylor]: Taking taylor expansion of m in K 12.187 * [backup-simplify]: Simplify m into m 12.187 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.187 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.187 * [taylor]: Taking taylor expansion of n in K 12.187 * [backup-simplify]: Simplify n into n 12.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.187 * [taylor]: Taking taylor expansion of K in K 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 1 into 1 12.187 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.188 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.188 * [backup-simplify]: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) 12.188 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 m) (/ 1 n)))) into (- (log (+ (/ 1 m) (/ 1 n))) (log K)) 12.188 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) into (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) 12.188 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) into (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) 12.188 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in n 12.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in n 12.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in n 12.189 * [taylor]: Taking taylor expansion of 1/3 in n 12.189 * [backup-simplify]: Simplify 1/3 into 1/3 12.189 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in n 12.189 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.189 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.189 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.189 * [taylor]: Taking taylor expansion of m in n 12.189 * [backup-simplify]: Simplify m into m 12.189 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.189 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.189 * [taylor]: Taking taylor expansion of n in n 12.189 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify 1 into 1 12.189 * [backup-simplify]: Simplify (/ 1 1) into 1 12.189 * [taylor]: Taking taylor expansion of K in n 12.189 * [backup-simplify]: Simplify K into K 12.189 * [backup-simplify]: Simplify (+ 0 1) into 1 12.189 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.189 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) 12.190 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log n))) into (* 1/3 (- (log (/ 1 K)) (log n))) 12.190 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1 K)) (log n)))) 12.190 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.190 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.190 * [taylor]: Taking taylor expansion of 1/3 in m 12.190 * [backup-simplify]: Simplify 1/3 into 1/3 12.190 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.190 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.190 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.190 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.190 * [taylor]: Taking taylor expansion of m in m 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify 1 into 1 12.190 * [backup-simplify]: Simplify (/ 1 1) into 1 12.190 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.190 * [taylor]: Taking taylor expansion of n in m 12.190 * [backup-simplify]: Simplify n into n 12.190 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.190 * [taylor]: Taking taylor expansion of K in m 12.190 * [backup-simplify]: Simplify K into K 12.191 * [backup-simplify]: Simplify (+ 1 0) into 1 12.191 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.191 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.191 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.191 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.191 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.191 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.191 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.191 * [taylor]: Taking taylor expansion of 1/3 in m 12.191 * [backup-simplify]: Simplify 1/3 into 1/3 12.191 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.191 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.191 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.191 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.191 * [taylor]: Taking taylor expansion of m in m 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (/ 1 1) into 1 12.192 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.192 * [taylor]: Taking taylor expansion of n in m 12.192 * [backup-simplify]: Simplify n into n 12.192 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.192 * [taylor]: Taking taylor expansion of K in m 12.192 * [backup-simplify]: Simplify K into K 12.192 * [backup-simplify]: Simplify (+ 1 0) into 1 12.192 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.192 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.192 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.193 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.193 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.193 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.193 * [taylor]: Taking taylor expansion of 1/3 in n 12.193 * [backup-simplify]: Simplify 1/3 into 1/3 12.193 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.193 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.193 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.193 * [taylor]: Taking taylor expansion of K in n 12.193 * [backup-simplify]: Simplify K into K 12.193 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.193 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.193 * [taylor]: Taking taylor expansion of (log m) in n 12.193 * [taylor]: Taking taylor expansion of m in n 12.193 * [backup-simplify]: Simplify m into m 12.193 * [backup-simplify]: Simplify (log m) into (log m) 12.193 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.193 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.193 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.193 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in K 12.193 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in K 12.193 * [taylor]: Taking taylor expansion of 1/3 in K 12.193 * [backup-simplify]: Simplify 1/3 into 1/3 12.193 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in K 12.193 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in K 12.193 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.193 * [taylor]: Taking taylor expansion of K in K 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.194 * [backup-simplify]: Simplify (/ 1 1) into 1 12.194 * [backup-simplify]: Simplify (log 1) into 0 12.194 * [taylor]: Taking taylor expansion of (log m) in K 12.194 * [taylor]: Taking taylor expansion of m in K 12.194 * [backup-simplify]: Simplify m into m 12.194 * [backup-simplify]: Simplify (log m) into (log m) 12.194 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) 0) into (- (log K)) 12.194 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.194 * [backup-simplify]: Simplify (+ (- (log K)) (- (log m))) into (- (+ (log K) (log m))) 12.194 * [backup-simplify]: Simplify (* 1/3 (- (+ (log K) (log m)))) into (* -1/3 (+ (log K) (log m))) 12.194 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.195 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.195 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.195 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (* K n))) 1)) (pow (/ 1 K) 1)))) 1) into (/ 1 n) 12.196 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.196 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m)))) into (* 1/3 (/ 1 n)) 12.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) 12.196 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) in n 12.196 * [taylor]: Taking taylor expansion of 1/3 in n 12.196 * [backup-simplify]: Simplify 1/3 into 1/3 12.196 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n) in n 12.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.196 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.196 * [taylor]: Taking taylor expansion of 1/3 in n 12.196 * [backup-simplify]: Simplify 1/3 into 1/3 12.196 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.196 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.196 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.196 * [taylor]: Taking taylor expansion of K in n 12.196 * [backup-simplify]: Simplify K into K 12.196 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.196 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.196 * [taylor]: Taking taylor expansion of (log m) in n 12.196 * [taylor]: Taking taylor expansion of m in n 12.196 * [backup-simplify]: Simplify m into m 12.196 * [backup-simplify]: Simplify (log m) into (log m) 12.197 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.197 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.197 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.197 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.197 * [taylor]: Taking taylor expansion of n in n 12.197 * [backup-simplify]: Simplify 0 into 0 12.197 * [backup-simplify]: Simplify 1 into 1 12.197 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.198 * [backup-simplify]: Simplify (- 0) into 0 12.198 * [backup-simplify]: Simplify (+ 0 0) into 0 12.199 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.199 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.200 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m)))))) into 0 12.200 * [taylor]: Taking taylor expansion of 0 in K 12.200 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify 0 into 0 12.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.201 * [backup-simplify]: Simplify (- 0) into 0 12.202 * [backup-simplify]: Simplify (+ 0 0) into 0 12.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.202 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.202 * [taylor]: Taking taylor expansion of 0 in K 12.203 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.204 * [backup-simplify]: Simplify (- 0) into 0 12.205 * [backup-simplify]: Simplify (+ 0 0) into 0 12.205 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log K) (log m))))) into 0 12.205 * [backup-simplify]: Simplify (* (exp (* -1/3 (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.205 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.206 * [backup-simplify]: Simplify (+ 0 0) into 0 12.206 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (* K n))) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into (/ -1/2 (pow n 2)) 12.207 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.208 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.208 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) 12.208 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) in n 12.208 * [taylor]: Taking taylor expansion of -1/9 in n 12.208 * [backup-simplify]: Simplify -1/9 into -1/9 12.208 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2)) in n 12.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.208 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.208 * [taylor]: Taking taylor expansion of 1/3 in n 12.208 * [backup-simplify]: Simplify 1/3 into 1/3 12.208 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.208 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.208 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.208 * [taylor]: Taking taylor expansion of K in n 12.208 * [backup-simplify]: Simplify K into K 12.208 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.208 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.208 * [taylor]: Taking taylor expansion of (log m) in n 12.208 * [taylor]: Taking taylor expansion of m in n 12.208 * [backup-simplify]: Simplify m into m 12.208 * [backup-simplify]: Simplify (log m) into (log m) 12.208 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.208 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.208 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.209 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.209 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.209 * [taylor]: Taking taylor expansion of n in n 12.209 * [backup-simplify]: Simplify 0 into 0 12.209 * [backup-simplify]: Simplify 1 into 1 12.209 * [backup-simplify]: Simplify (* 1 1) into 1 12.209 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.213 * [backup-simplify]: Simplify (- 0) into 0 12.214 * [backup-simplify]: Simplify (+ 0 0) into 0 12.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.216 * [backup-simplify]: Simplify (- 0) into 0 12.216 * [backup-simplify]: Simplify (+ 0 0) into 0 12.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.218 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.219 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.221 * [taylor]: Taking taylor expansion of 0 in K 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.224 * [backup-simplify]: Simplify (- 0) into 0 12.224 * [backup-simplify]: Simplify (+ 0 0) into 0 12.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.225 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.227 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.227 * [taylor]: Taking taylor expansion of 0 in K 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.229 * [backup-simplify]: Simplify (- 0) into 0 12.229 * [backup-simplify]: Simplify (+ 0 0) into 0 12.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.231 * [taylor]: Taking taylor expansion of 0 in K 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log (/ 1 K)) (log (/ 1 m))))) into (exp (* -1/3 (+ (log (/ 1 m)) (log (/ 1 K))))) 12.231 * [backup-simplify]: Simplify (cbrt (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K)))) into (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) 12.231 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in (m n K) around 0 12.231 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in K 12.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in K 12.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in K 12.231 * [taylor]: Taking taylor expansion of 1/3 in K 12.231 * [backup-simplify]: Simplify 1/3 into 1/3 12.231 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in K 12.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.231 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.231 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.231 * [taylor]: Taking taylor expansion of m in K 12.231 * [backup-simplify]: Simplify m into m 12.231 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.231 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.231 * [taylor]: Taking taylor expansion of n in K 12.231 * [backup-simplify]: Simplify n into n 12.231 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.231 * [taylor]: Taking taylor expansion of K in K 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 1 into 1 12.232 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.232 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.232 * [backup-simplify]: Simplify (log (+ (/ 1 m) (/ 1 n))) into (log (+ (/ 1 m) (/ 1 n))) 12.232 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) (log (+ (/ 1 m) (/ 1 n)))) into (- (log (+ (/ 1 m) (/ 1 n))) (log K)) 12.232 * [backup-simplify]: Simplify (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) into (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K))) 12.232 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) into (exp (* 1/3 (- (log (+ (/ 1 m) (/ 1 n))) (log K)))) 12.232 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in n 12.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in n 12.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in n 12.232 * [taylor]: Taking taylor expansion of 1/3 in n 12.232 * [backup-simplify]: Simplify 1/3 into 1/3 12.232 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in n 12.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.232 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.232 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.232 * [taylor]: Taking taylor expansion of m in n 12.232 * [backup-simplify]: Simplify m into m 12.232 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.232 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.232 * [taylor]: Taking taylor expansion of n in n 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify 1 into 1 12.233 * [backup-simplify]: Simplify (/ 1 1) into 1 12.233 * [taylor]: Taking taylor expansion of K in n 12.233 * [backup-simplify]: Simplify K into K 12.233 * [backup-simplify]: Simplify (+ 0 1) into 1 12.233 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.233 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.233 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (/ 1 K))) into (- (log (/ 1 K)) (log n)) 12.234 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log n))) into (* 1/3 (- (log (/ 1 K)) (log n))) 12.234 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log n)))) into (exp (* 1/3 (- (log (/ 1 K)) (log n)))) 12.234 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.234 * [taylor]: Taking taylor expansion of 1/3 in m 12.234 * [backup-simplify]: Simplify 1/3 into 1/3 12.234 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.234 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.234 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.234 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.234 * [taylor]: Taking taylor expansion of m in m 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify 1 into 1 12.234 * [backup-simplify]: Simplify (/ 1 1) into 1 12.234 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.234 * [taylor]: Taking taylor expansion of n in m 12.234 * [backup-simplify]: Simplify n into n 12.234 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.234 * [taylor]: Taking taylor expansion of K in m 12.234 * [backup-simplify]: Simplify K into K 12.234 * [backup-simplify]: Simplify (+ 1 0) into 1 12.234 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.235 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.235 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.235 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.235 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.235 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 m) (/ 1 n)) K) 1/3) in m 12.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K)))) in m 12.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 m) (/ 1 n)) K))) in m 12.235 * [taylor]: Taking taylor expansion of 1/3 in m 12.235 * [backup-simplify]: Simplify 1/3 into 1/3 12.235 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 m) (/ 1 n)) K)) in m 12.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.235 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.235 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.235 * [taylor]: Taking taylor expansion of m in m 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (/ 1 1) into 1 12.235 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.235 * [taylor]: Taking taylor expansion of n in m 12.235 * [backup-simplify]: Simplify n into n 12.235 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.236 * [taylor]: Taking taylor expansion of K in m 12.236 * [backup-simplify]: Simplify K into K 12.236 * [backup-simplify]: Simplify (+ 1 0) into 1 12.236 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.236 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.236 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.236 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.236 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.236 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.236 * [taylor]: Taking taylor expansion of 1/3 in n 12.236 * [backup-simplify]: Simplify 1/3 into 1/3 12.236 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.237 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.237 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.237 * [taylor]: Taking taylor expansion of K in n 12.237 * [backup-simplify]: Simplify K into K 12.237 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.237 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.237 * [taylor]: Taking taylor expansion of (log m) in n 12.237 * [taylor]: Taking taylor expansion of m in n 12.237 * [backup-simplify]: Simplify m into m 12.237 * [backup-simplify]: Simplify (log m) into (log m) 12.237 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.237 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.237 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.237 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in K 12.237 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in K 12.237 * [taylor]: Taking taylor expansion of 1/3 in K 12.237 * [backup-simplify]: Simplify 1/3 into 1/3 12.237 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in K 12.237 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in K 12.237 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.237 * [taylor]: Taking taylor expansion of K in K 12.237 * [backup-simplify]: Simplify 0 into 0 12.237 * [backup-simplify]: Simplify 1 into 1 12.237 * [backup-simplify]: Simplify (/ 1 1) into 1 12.238 * [backup-simplify]: Simplify (log 1) into 0 12.238 * [taylor]: Taking taylor expansion of (log m) in K 12.238 * [taylor]: Taking taylor expansion of m in K 12.238 * [backup-simplify]: Simplify m into m 12.238 * [backup-simplify]: Simplify (log m) into (log m) 12.238 * [backup-simplify]: Simplify (+ (* (- 1) (log K)) 0) into (- (log K)) 12.238 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.238 * [backup-simplify]: Simplify (+ (- (log K)) (- (log m))) into (- (+ (log K) (log m))) 12.238 * [backup-simplify]: Simplify (* 1/3 (- (+ (log K) (log m)))) into (* -1/3 (+ (log K) (log m))) 12.238 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.238 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log K) (log m)))) into (exp (* -1/3 (+ (log K) (log m)))) 12.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.239 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.239 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (* K n))) 1)) (pow (/ 1 K) 1)))) 1) into (/ 1 n) 12.239 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.239 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m)))) into (* 1/3 (/ 1 n)) 12.240 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) 12.240 * [taylor]: Taking taylor expansion of (* 1/3 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n)) in n 12.240 * [taylor]: Taking taylor expansion of 1/3 in n 12.240 * [backup-simplify]: Simplify 1/3 into 1/3 12.240 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) n) in n 12.240 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.240 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.240 * [taylor]: Taking taylor expansion of 1/3 in n 12.240 * [backup-simplify]: Simplify 1/3 into 1/3 12.240 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.240 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.240 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.240 * [taylor]: Taking taylor expansion of K in n 12.240 * [backup-simplify]: Simplify K into K 12.240 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.240 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.240 * [taylor]: Taking taylor expansion of (log m) in n 12.240 * [taylor]: Taking taylor expansion of m in n 12.240 * [backup-simplify]: Simplify m into m 12.240 * [backup-simplify]: Simplify (log m) into (log m) 12.240 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.240 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.240 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.240 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.240 * [taylor]: Taking taylor expansion of n in n 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.242 * [backup-simplify]: Simplify (- 0) into 0 12.242 * [backup-simplify]: Simplify (+ 0 0) into 0 12.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.243 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m)))))) into 0 12.244 * [taylor]: Taking taylor expansion of 0 in K 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify 0 into 0 12.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.246 * [backup-simplify]: Simplify (- 0) into 0 12.246 * [backup-simplify]: Simplify (+ 0 0) into 0 12.246 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.247 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.247 * [taylor]: Taking taylor expansion of 0 in K 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.249 * [backup-simplify]: Simplify (- 0) into 0 12.249 * [backup-simplify]: Simplify (+ 0 0) into 0 12.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log K) (log m))))) into 0 12.250 * [backup-simplify]: Simplify (* (exp (* -1/3 (+ (log K) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.250 * [backup-simplify]: Simplify 0 into 0 12.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.251 * [backup-simplify]: Simplify (+ 0 0) into 0 12.251 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (* K n))) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into (/ -1/2 (pow n 2)) 12.252 * [backup-simplify]: Simplify (+ (* (- 1) (log m)) (log (/ 1 K))) into (- (log (/ 1 K)) (log m)) 12.252 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log (/ 1 K)) (log m))))) into (- (* 1/6 (/ 1 (pow n 2)))) 12.252 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow n 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) 12.252 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2))) in n 12.252 * [taylor]: Taking taylor expansion of -1/9 in n 12.252 * [backup-simplify]: Simplify -1/9 into -1/9 12.252 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (pow n 2)) in n 12.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 K)) (log m)))) in n 12.252 * [taylor]: Taking taylor expansion of (* 1/3 (- (log (/ 1 K)) (log m))) in n 12.252 * [taylor]: Taking taylor expansion of 1/3 in n 12.252 * [backup-simplify]: Simplify 1/3 into 1/3 12.253 * [taylor]: Taking taylor expansion of (- (log (/ 1 K)) (log m)) in n 12.253 * [taylor]: Taking taylor expansion of (log (/ 1 K)) in n 12.253 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.253 * [taylor]: Taking taylor expansion of K in n 12.253 * [backup-simplify]: Simplify K into K 12.253 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.253 * [backup-simplify]: Simplify (log (/ 1 K)) into (log (/ 1 K)) 12.253 * [taylor]: Taking taylor expansion of (log m) in n 12.253 * [taylor]: Taking taylor expansion of m in n 12.253 * [backup-simplify]: Simplify m into m 12.253 * [backup-simplify]: Simplify (log m) into (log m) 12.253 * [backup-simplify]: Simplify (- (log m)) into (- (log m)) 12.253 * [backup-simplify]: Simplify (+ (log (/ 1 K)) (- (log m))) into (- (log (/ 1 K)) (log m)) 12.253 * [backup-simplify]: Simplify (* 1/3 (- (log (/ 1 K)) (log m))) into (* 1/3 (- (log (/ 1 K)) (log m))) 12.253 * [backup-simplify]: Simplify (exp (* 1/3 (- (log (/ 1 K)) (log m)))) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.253 * [taylor]: Taking taylor expansion of (pow n 2) in n 12.253 * [taylor]: Taking taylor expansion of n in n 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 1 into 1 12.253 * [backup-simplify]: Simplify (* 1 1) into 1 12.253 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 1) into (exp (* 1/3 (- (log (/ 1 K)) (log m)))) 12.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 K) 1)))) 1) into 0 12.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow m 1)))) 1) into 0 12.255 * [backup-simplify]: Simplify (- 0) into 0 12.255 * [backup-simplify]: Simplify (+ 0 0) into 0 12.255 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 K)) (log m)))) into 0 12.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.257 * [backup-simplify]: Simplify (- 0) into 0 12.258 * [backup-simplify]: Simplify (+ 0 0) into 0 12.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.260 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)))) into 0 12.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.264 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.264 * [taylor]: Taking taylor expansion of 0 in K 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.267 * [backup-simplify]: Simplify (- 0) into 0 12.268 * [backup-simplify]: Simplify (+ 0 0) into 0 12.269 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.270 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (/ 1 K)) (log m))))))) into 0 12.271 * [taylor]: Taking taylor expansion of 0 in K 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 K) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 K) 1)))) 2) into 0 12.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow m 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow m 1)))) 2) into 0 12.273 * [backup-simplify]: Simplify (- 0) into 0 12.274 * [backup-simplify]: Simplify (+ 0 0) into 0 12.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 K)) (log m))))) into 0 12.275 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log (/ 1 K)) (log m)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.275 * [taylor]: Taking taylor expansion of 0 in K 12.275 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify (exp (* -1/3 (+ (log (/ 1 (- K))) (log (/ 1 (- m)))))) into (exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K))))) 12.275 * * * [progress]: simplifying candidates 12.275 * * * * [progress]: [ 1 / 59 ] simplifiying candidate # 12.275 * * * * [progress]: [ 2 / 59 ] simplifiying candidate # 12.275 * * * * [progress]: [ 3 / 59 ] simplifiying candidate # 12.275 * * * * [progress]: [ 4 / 59 ] simplifiying candidate # 12.275 * * * * [progress]: [ 5 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 6 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 7 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 8 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 9 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 10 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 11 / 59 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 12.276 * * * * [progress]: [ 12 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 13 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 14 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 15 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 16 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 17 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 18 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 19 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 20 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 21 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 22 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 23 / 59 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ m n) K))))) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 12.276 * * * * [progress]: [ 24 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 25 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 26 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 27 / 59 ] simplifiying candidate # 12.276 * * * * [progress]: [ 28 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 29 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 30 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 31 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 32 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 33 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 34 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 35 / 59 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ m n) K))))) (cbrt (* (+ m n) K))) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 12.277 * * * * [progress]: [ 36 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 37 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 38 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 39 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 40 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 41 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 42 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 43 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 44 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 45 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 46 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 47 / 59 ] simplifiying candidate #real (real->posit16 (cbrt (* (+ m n) K)))) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 12.277 * * * * [progress]: [ 48 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 49 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 50 / 59 ] simplifiying candidate # 12.277 * * * * [progress]: [ 51 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 52 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 53 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 54 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 55 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 56 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 57 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 58 / 59 ] simplifiying candidate # 12.278 * * * * [progress]: [ 59 / 59 ] simplifiying candidate # 12.278 * [simplify]: Simplifying: (* (cos (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2)) (sin (- M))) (* (cos (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2)) (sin (- M))) (* (cos (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2)) (cos M)) (* (sin (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2)) (sin M)) (log (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (exp (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (* (cbrt (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (cbrt (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M)))) (cbrt (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (* (* (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M)) (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (sqrt (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (sqrt (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (real->posit16 (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M))) (log (cbrt (* (+ m n) K))) (exp (cbrt (* (+ m n) K))) (cbrt (+ m n)) (cbrt K) (cbrt (* (+ (pow m 3) (pow n 3)) K)) (cbrt (+ (* m m) (- (* n n) (* m n)))) (cbrt (* (- (* m m) (* n n)) K)) (cbrt (- m n)) (* (cbrt (cbrt (* (+ m n) K))) (cbrt (cbrt (* (+ m n) K)))) (cbrt (cbrt (* (+ m n) K))) (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) (sqrt (cbrt (* (+ m n) K))) (sqrt (cbrt (* (+ m n) K))) (real->posit16 (cbrt (* (+ m n) K))) (log (cbrt (* (+ m n) K))) (exp (cbrt (* (+ m n) K))) (cbrt (+ m n)) (cbrt K) (cbrt (* (+ (pow m 3) (pow n 3)) K)) (cbrt (+ (* m m) (- (* n n) (* m n)))) (cbrt (* (- (* m m) (* n n)) K)) (cbrt (- m n)) (* (cbrt (cbrt (* (+ m n) K))) (cbrt (cbrt (* (+ m n) K)))) (cbrt (cbrt (* (+ m n) K))) (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) (sqrt (cbrt (* (+ m n) K))) (sqrt (cbrt (* (+ m n) K))) (real->posit16 (cbrt (* (+ m n) K))) (log (cbrt (* (+ m n) K))) (exp (cbrt (* (+ m n) K))) (cbrt (+ m n)) (cbrt K) (cbrt (* (+ (pow m 3) (pow n 3)) K)) (cbrt (+ (* m m) (- (* n n) (* m n)))) (cbrt (* (- (* m m) (* n n)) K)) (cbrt (- m n)) (* (cbrt (cbrt (* (+ m n) K))) (cbrt (cbrt (* (+ m n) K)))) (cbrt (cbrt (* (+ m n) K))) (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) (sqrt (cbrt (* (+ m n) K))) (sqrt (cbrt (* (+ m n) K))) (real->posit16 (cbrt (* (+ m n) K))) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (- (+ (* 1/3 (* m (exp (* 1/3 (- (log K) (* 2 (log n))))))) (exp (* 1/3 (+ (log K) (log n))))) (* 1/9 (* (exp (* 1/3 (- (log K) (* 5 (log n))))) (pow m 2)))) (exp (* -1/3 (+ (log (/ 1 m)) (log (/ 1 K))))) (exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K))))) (- (+ (* 1/3 (* m (exp (* 1/3 (- (log K) (* 2 (log n))))))) (exp (* 1/3 (+ (log K) (log n))))) (* 1/9 (* (exp (* 1/3 (- (log K) (* 5 (log n))))) (pow m 2)))) (exp (* -1/3 (+ (log (/ 1 m)) (log (/ 1 K))))) (exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K))))) (- (+ (* 1/3 (* m (exp (* 1/3 (- (log K) (* 2 (log n))))))) (exp (* 1/3 (+ (log K) (log n))))) (* 1/9 (* (exp (* 1/3 (- (log K) (* 5 (log n))))) (pow m 2)))) (exp (* -1/3 (+ (log (/ 1 m)) (log (/ 1 K))))) (exp (* -1/3 (+ (log (/ -1 m)) (log (/ -1 K))))) 12.279 * * [simplify]: iteration 0: 105 enodes 12.299 * * [simplify]: iteration 1: 223 enodes 12.349 * * [simplify]: iteration 2: 452 enodes 12.506 * * [simplify]: iteration 3: 992 enodes 12.760 * * [simplify]: iteration 4: 2004 enodes 13.177 * * [simplify]: iteration complete: 2004 enodes 13.177 * * [simplify]: Extracting #0: cost 28 inf + 0 13.177 * * [simplify]: Extracting #1: cost 90 inf + 1 13.178 * * [simplify]: Extracting #2: cost 319 inf + 665 13.181 * * [simplify]: Extracting #3: cost 519 inf + 3850 13.189 * * [simplify]: Extracting #4: cost 470 inf + 25798 13.206 * * [simplify]: Extracting #5: cost 265 inf + 65380 13.220 * * [simplify]: Extracting #6: cost 136 inf + 101872 13.252 * * [simplify]: Extracting #7: cost 58 inf + 138419 13.287 * * [simplify]: Extracting #8: cost 7 inf + 153436 13.322 * * [simplify]: Extracting #9: cost 0 inf + 154400 13.357 * * [simplify]: Extracting #10: cost 0 inf + 154370 13.392 * [simplify]: Simplified to: (* (cos (/ (* (+ n m) K) 2)) (cos M)) (* (sin (/ (* (+ n m) K) 2)) (sin (- M))) (* (cos (/ (* (+ n m) K) 2)) (cos M)) (* (sin (/ (* (+ n m) K) 2)) (sin (- M))) (* (cos (/ (* (+ n m) K) 2)) (cos M)) (* (sin (/ (* (+ n m) K) 2)) (sin M)) (log (cos (- (/ (* (+ n m) K) 2) M))) (exp (cos (- (/ (* (+ n m) K) 2) M))) (* (cbrt (cos (- (/ (* (+ n m) K) 2) M))) (cbrt (cos (- (/ (* (+ n m) K) 2) M)))) (cbrt (cos (- (/ (* (+ n m) K) 2) M))) (* (cos (- (/ (* (+ n m) K) 2) M)) (* (cos (- (/ (* (+ n m) K) 2) M)) (cos (- (/ (* (+ n m) K) 2) M)))) (sqrt (cos (- (/ (* (+ n m) K) 2) M))) (sqrt (cos (- (/ (* (+ n m) K) 2) M))) (real->posit16 (cos (- (/ (* (+ n m) K) 2) M))) (log (cbrt (* (+ n m) K))) (exp (cbrt (* (+ n m) K))) (cbrt (+ n m)) (cbrt K) (cbrt (* K (+ (* n (* n n)) (* (* m m) m)))) (cbrt (+ (* (- n m) n) (* m m))) (cbrt (* (* (+ n m) K) (- m n))) (cbrt (- m n)) (* (cbrt (cbrt (* (+ n m) K))) (cbrt (cbrt (* (+ n m) K)))) (cbrt (cbrt (* (+ n m) K))) (* (+ n m) K) (sqrt (cbrt (* (+ n m) K))) (sqrt (cbrt (* (+ n m) K))) (real->posit16 (cbrt (* (+ n m) K))) (log (cbrt (* (+ n m) K))) (exp (cbrt (* (+ n m) K))) (cbrt (+ n m)) (cbrt K) (cbrt (* K (+ (* n (* n n)) (* (* m m) m)))) (cbrt (+ (* (- n m) n) (* m m))) (cbrt (* (* (+ n m) K) (- m n))) (cbrt (- m n)) (* (cbrt (cbrt (* (+ n m) K))) (cbrt (cbrt (* (+ n m) K)))) (cbrt (cbrt (* (+ n m) K))) (* (+ n m) K) (sqrt (cbrt (* (+ n m) K))) (sqrt (cbrt (* (+ n m) K))) (real->posit16 (cbrt (* (+ n m) K))) (log (cbrt (* (+ n m) K))) (exp (cbrt (* (+ n m) K))) (cbrt (+ n m)) (cbrt K) (cbrt (* K (+ (* n (* n n)) (* (* m m) m)))) (cbrt (+ (* (- n m) n) (* m m))) (cbrt (* (* (+ n m) K) (- m n))) (cbrt (- m n)) (* (cbrt (cbrt (* (+ n m) K))) (cbrt (cbrt (* (+ n m) K)))) (cbrt (cbrt (* (+ n m) K))) (* (+ n m) K) (sqrt (cbrt (* (+ n m) K))) (sqrt (cbrt (* (+ n m) K))) (real->posit16 (cbrt (* (+ n m) K))) 1 (cos (- (/ (* (+ n m) K) 2) M)) (cos (- (/ (* (+ n m) K) 2) M)) (- (cbrt (* K n)) (* m (- (* (* 1/9 (cbrt (* K (exp (* (log n) -5))))) m) (* 1/3 (cbrt (/ K (exp (* (log n) 2)))))))) (exp (* (+ (log m) (log K)) 1/3)) (pow (* (/ -1 m) (/ -1 K)) -1/3) (- (cbrt (* K n)) (* m (- (* (* 1/9 (cbrt (* K (exp (* (log n) -5))))) m) (* 1/3 (cbrt (/ K (exp (* (log n) 2)))))))) (exp (* (+ (log m) (log K)) 1/3)) (pow (* (/ -1 m) (/ -1 K)) -1/3) (- (cbrt (* K n)) (* m (- (* (* 1/9 (cbrt (* K (exp (* (log n) -5))))) m) (* 1/3 (cbrt (/ K (exp (* (log n) 2)))))))) (exp (* (+ (log m) (log K)) 1/3)) (pow (* (/ -1 m) (/ -1 K)) -1/3) 13.407 * * * [progress]: adding candidates to table 14.558 * [progress]: [Phase 3 of 3] Extracting. 14.558 * * [regime]: Finding splitpoints for: (# # #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> # #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # #) 14.564 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 14.564 * * * * [regimes]: Trying to branch on l from (# # #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> # #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # #) 14.636 * * * * [regimes]: Trying to branch on M from (# # #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> # #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # #) 14.708 * * * * [regimes]: Trying to branch on n from (# # #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> # #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # #) 14.795 * * * * [regimes]: Trying to branch on m from (# # #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> # #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # #) 14.907 * * * * [regimes]: Trying to branch on K from (# # #real (real->posit16 (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> # #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # #) 14.988 * * * [regime]: Found split indices: #