36.592 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.090 * [simplify]: Simplifying: (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.090 * * [simplify]: iteration 1: (21 enodes) 0.095 * * [simplify]: iteration 2: (51 enodes) 0.104 * * [simplify]: iteration 3: (102 enodes) 0.138 * * [simplify]: iteration 4: (260 enodes) 0.269 * * [simplify]: iteration 5: (821 enodes) 0.974 * * [simplify]: Extracting #0: cost 1 inf + 0 0.975 * * [simplify]: Extracting #1: cost 91 inf + 0 0.977 * * [simplify]: Extracting #2: cost 382 inf + 1 0.980 * * [simplify]: Extracting #3: cost 601 inf + 578 0.994 * * [simplify]: Extracting #4: cost 617 inf + 16121 1.035 * * [simplify]: Extracting #5: cost 333 inf + 110601 1.120 * * [simplify]: Extracting #6: cost 47 inf + 225801 1.177 * * [simplify]: Extracting #7: cost 0 inf + 249074 1.283 * [simplify]: Simplified to: (* (cos (- (* K (/ (+ m n) 2)) M)) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))) 1.294 * * [progress]: iteration 1 / 4 1.294 * * * [progress]: picking best candidate 1.303 * * * * [pick]: Picked # 1.303 * * * [progress]: localizing error 1.351 * * * [progress]: generating rewritten candidates 1.351 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.409 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 1) 1.442 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.460 * * * [progress]: generating series expansions 1.460 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.460 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.460 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 1.460 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.460 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.461 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.461 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.461 * [taylor]: Taking taylor expansion of 1/2 in M 1.461 * [backup-simplify]: Simplify 1/2 into 1/2 1.461 * [taylor]: Taking taylor expansion of (* K n) in M 1.461 * [taylor]: Taking taylor expansion of K in M 1.461 * [backup-simplify]: Simplify K into K 1.461 * [taylor]: Taking taylor expansion of n in M 1.461 * [backup-simplify]: Simplify n into n 1.461 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.461 * [taylor]: Taking taylor expansion of 1/2 in M 1.461 * [backup-simplify]: Simplify 1/2 into 1/2 1.461 * [taylor]: Taking taylor expansion of (* K m) in M 1.461 * [taylor]: Taking taylor expansion of K in M 1.461 * [backup-simplify]: Simplify K into K 1.461 * [taylor]: Taking taylor expansion of m in M 1.461 * [backup-simplify]: Simplify m into m 1.461 * [taylor]: Taking taylor expansion of M in M 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (* K n) into (* K n) 1.461 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.461 * [backup-simplify]: Simplify (* K m) into (* K m) 1.461 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.461 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.462 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.462 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.462 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.462 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.462 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.462 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.462 * [taylor]: Taking taylor expansion of 1/2 in n 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of (* K n) in n 1.462 * [taylor]: Taking taylor expansion of K in n 1.462 * [backup-simplify]: Simplify K into K 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.462 * [taylor]: Taking taylor expansion of 1/2 in n 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of (* K m) in n 1.462 * [taylor]: Taking taylor expansion of K in n 1.462 * [backup-simplify]: Simplify K into K 1.462 * [taylor]: Taking taylor expansion of m in n 1.462 * [backup-simplify]: Simplify m into m 1.462 * [taylor]: Taking taylor expansion of M in n 1.462 * [backup-simplify]: Simplify M into M 1.462 * [backup-simplify]: Simplify (* K 0) into 0 1.463 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.463 * [backup-simplify]: Simplify (* K m) into (* K m) 1.463 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.463 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.463 * [backup-simplify]: Simplify (- M) into (- M) 1.463 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.463 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.463 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.463 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.463 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.463 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.463 * [taylor]: Taking taylor expansion of 1/2 in m 1.463 * [backup-simplify]: Simplify 1/2 into 1/2 1.463 * [taylor]: Taking taylor expansion of (* K n) in m 1.463 * [taylor]: Taking taylor expansion of K in m 1.463 * [backup-simplify]: Simplify K into K 1.463 * [taylor]: Taking taylor expansion of n in m 1.463 * [backup-simplify]: Simplify n into n 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.463 * [taylor]: Taking taylor expansion of 1/2 in m 1.463 * [backup-simplify]: Simplify 1/2 into 1/2 1.463 * [taylor]: Taking taylor expansion of (* K m) in m 1.463 * [taylor]: Taking taylor expansion of K in m 1.463 * [backup-simplify]: Simplify K into K 1.463 * [taylor]: Taking taylor expansion of m in m 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of M in m 1.463 * [backup-simplify]: Simplify M into M 1.463 * [backup-simplify]: Simplify (* K n) into (* K n) 1.463 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.464 * [backup-simplify]: Simplify (* K 0) into 0 1.464 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.464 * [backup-simplify]: Simplify (- M) into (- M) 1.464 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.464 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.464 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.464 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.464 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.464 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.464 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.464 * [taylor]: Taking taylor expansion of 1/2 in K 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (* K n) in K 1.464 * [taylor]: Taking taylor expansion of K in K 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [taylor]: Taking taylor expansion of n in K 1.464 * [backup-simplify]: Simplify n into n 1.464 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.464 * [taylor]: Taking taylor expansion of 1/2 in K 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (* K m) in K 1.464 * [taylor]: Taking taylor expansion of K in K 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [taylor]: Taking taylor expansion of m in K 1.464 * [backup-simplify]: Simplify m into m 1.464 * [taylor]: Taking taylor expansion of M in K 1.465 * [backup-simplify]: Simplify M into M 1.465 * [backup-simplify]: Simplify (* 0 n) into 0 1.465 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.465 * [backup-simplify]: Simplify (* 0 m) into 0 1.465 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (- M) into (- M) 1.466 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.466 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.466 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.466 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.466 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.466 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.466 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.466 * [taylor]: Taking taylor expansion of 1/2 in K 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (* K n) in K 1.466 * [taylor]: Taking taylor expansion of K in K 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [taylor]: Taking taylor expansion of n in K 1.466 * [backup-simplify]: Simplify n into n 1.466 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.466 * [taylor]: Taking taylor expansion of 1/2 in K 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (* K m) in K 1.466 * [taylor]: Taking taylor expansion of K in K 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [taylor]: Taking taylor expansion of m in K 1.466 * [backup-simplify]: Simplify m into m 1.466 * [taylor]: Taking taylor expansion of M in K 1.466 * [backup-simplify]: Simplify M into M 1.466 * [backup-simplify]: Simplify (* 0 n) into 0 1.466 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.466 * [backup-simplify]: Simplify (* 0 m) into 0 1.467 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (- M) into (- M) 1.467 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.467 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.467 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.467 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.467 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.468 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.468 * [taylor]: Taking taylor expansion of (- M) in m 1.468 * [taylor]: Taking taylor expansion of M in m 1.468 * [backup-simplify]: Simplify M into M 1.468 * [backup-simplify]: Simplify (- M) into (- M) 1.468 * [backup-simplify]: Simplify (- M) into (- M) 1.468 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.468 * [backup-simplify]: Simplify (- M) into (- M) 1.468 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.468 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.468 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.468 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.468 * [taylor]: Taking taylor expansion of (cos (- M)) in n 1.468 * [taylor]: Taking taylor expansion of (- M) in n 1.468 * [taylor]: Taking taylor expansion of M in n 1.468 * [backup-simplify]: Simplify M into M 1.468 * [backup-simplify]: Simplify (- M) into (- M) 1.468 * [backup-simplify]: Simplify (- M) into (- M) 1.468 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.468 * [backup-simplify]: Simplify (- M) into (- M) 1.468 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.468 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.468 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.469 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.469 * [taylor]: Taking taylor expansion of (- M) in M 1.469 * [taylor]: Taking taylor expansion of M in M 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (- 1) into -1 1.469 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (+ 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.471 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 1.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 1.471 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 1.471 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 1.472 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 1.473 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 1.473 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 1.473 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 1.473 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 1.473 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 1.473 * [taylor]: Taking taylor expansion of 1/2 in m 1.473 * [backup-simplify]: Simplify 1/2 into 1/2 1.473 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 1.473 * [taylor]: Taking taylor expansion of (sin (- M)) in m 1.473 * [taylor]: Taking taylor expansion of (- M) in m 1.473 * [taylor]: Taking taylor expansion of M in m 1.473 * [backup-simplify]: Simplify M into M 1.473 * [backup-simplify]: Simplify (- M) into (- M) 1.473 * [backup-simplify]: Simplify (- M) into (- M) 1.473 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.473 * [backup-simplify]: Simplify (- M) into (- M) 1.473 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.473 * [taylor]: Taking taylor expansion of n in m 1.473 * [backup-simplify]: Simplify n into n 1.473 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 1.474 * [taylor]: Taking taylor expansion of 1/2 in m 1.474 * [backup-simplify]: Simplify 1/2 into 1/2 1.474 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 1.474 * [taylor]: Taking taylor expansion of m in m 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [taylor]: Taking taylor expansion of (sin (- M)) in m 1.474 * [taylor]: Taking taylor expansion of (- M) in m 1.474 * [taylor]: Taking taylor expansion of M in m 1.474 * [backup-simplify]: Simplify M into M 1.474 * [backup-simplify]: Simplify (- M) into (- M) 1.474 * [backup-simplify]: Simplify (- M) into (- M) 1.474 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.474 * [backup-simplify]: Simplify (- M) into (- M) 1.474 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.474 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.474 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.474 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.474 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 1.474 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 1.474 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.474 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.474 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.474 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.475 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 1.475 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 1.475 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 1.475 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 1.475 * [taylor]: Taking taylor expansion of 1/2 in n 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.475 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 1.475 * [taylor]: Taking taylor expansion of (sin (- M)) in n 1.475 * [taylor]: Taking taylor expansion of (- M) in n 1.475 * [taylor]: Taking taylor expansion of M in n 1.475 * [backup-simplify]: Simplify M into M 1.475 * [backup-simplify]: Simplify (- M) into (- M) 1.475 * [backup-simplify]: Simplify (- M) into (- M) 1.475 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.475 * [backup-simplify]: Simplify (- M) into (- M) 1.475 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.475 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.475 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.475 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.476 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.476 * [backup-simplify]: Simplify (- 0) into 0 1.476 * [taylor]: Taking taylor expansion of 0 in M 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.478 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.478 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [taylor]: Taking taylor expansion of 0 in n 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [taylor]: Taking taylor expansion of 0 in M 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ 0) into 0 1.479 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.480 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.480 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in M 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ 0) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 1.484 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 1.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 1.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 1.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.488 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 1.489 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 1.489 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 1.489 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 1.489 * [taylor]: Taking taylor expansion of 1/8 in m 1.489 * [backup-simplify]: Simplify 1/8 into 1/8 1.489 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 1.489 * [taylor]: Taking taylor expansion of (pow m 2) in m 1.489 * [taylor]: Taking taylor expansion of m in m 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.489 * [taylor]: Taking taylor expansion of (- M) in m 1.489 * [taylor]: Taking taylor expansion of M in m 1.489 * [backup-simplify]: Simplify M into M 1.489 * [backup-simplify]: Simplify (- M) into (- M) 1.489 * [backup-simplify]: Simplify (- M) into (- M) 1.489 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.490 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 1.490 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 1.490 * [taylor]: Taking taylor expansion of 1/8 in m 1.490 * [backup-simplify]: Simplify 1/8 into 1/8 1.490 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 1.490 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.490 * [taylor]: Taking taylor expansion of (- M) in m 1.490 * [taylor]: Taking taylor expansion of M in m 1.490 * [backup-simplify]: Simplify M into M 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.490 * [taylor]: Taking taylor expansion of (pow n 2) in m 1.490 * [taylor]: Taking taylor expansion of n in m 1.490 * [backup-simplify]: Simplify n into n 1.490 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 1.490 * [taylor]: Taking taylor expansion of 1/4 in m 1.490 * [backup-simplify]: Simplify 1/4 into 1/4 1.490 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 1.490 * [taylor]: Taking taylor expansion of m in m 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 1.490 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.490 * [taylor]: Taking taylor expansion of (- M) in m 1.490 * [taylor]: Taking taylor expansion of M in m 1.490 * [backup-simplify]: Simplify M into M 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.490 * [backup-simplify]: Simplify (- M) into (- M) 1.490 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.490 * [taylor]: Taking taylor expansion of n in m 1.490 * [backup-simplify]: Simplify n into n 1.490 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.490 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.491 * [backup-simplify]: Simplify (* n n) into (pow n 2) 1.491 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 1.491 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.491 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.491 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.491 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 1.491 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 1.492 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.492 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.492 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 1.492 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 1.492 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 1.492 * [taylor]: Taking taylor expansion of 1/8 in n 1.492 * [backup-simplify]: Simplify 1/8 into 1/8 1.492 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 1.492 * [taylor]: Taking taylor expansion of (cos (- M)) in n 1.492 * [taylor]: Taking taylor expansion of (- M) in n 1.492 * [taylor]: Taking taylor expansion of M in n 1.492 * [backup-simplify]: Simplify M into M 1.492 * [backup-simplify]: Simplify (- M) into (- M) 1.492 * [backup-simplify]: Simplify (- M) into (- M) 1.492 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.492 * [backup-simplify]: Simplify (- M) into (- M) 1.492 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.492 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.492 * [taylor]: Taking taylor expansion of n in n 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (+ 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.494 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 1.495 * [backup-simplify]: Simplify (+ 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.497 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.499 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.499 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 1.499 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.499 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 1.499 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 1.499 * [taylor]: Taking taylor expansion of 1/2 in n 1.499 * [backup-simplify]: Simplify 1/2 into 1/2 1.499 * [taylor]: Taking taylor expansion of (sin (- M)) in n 1.499 * [taylor]: Taking taylor expansion of (- M) in n 1.499 * [taylor]: Taking taylor expansion of M in n 1.499 * [backup-simplify]: Simplify M into M 1.499 * [backup-simplify]: Simplify (- M) into (- M) 1.499 * [backup-simplify]: Simplify (- M) into (- M) 1.499 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.499 * [backup-simplify]: Simplify (- M) into (- M) 1.499 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.499 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.500 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.500 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.500 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 1.500 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.500 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.500 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.500 * [taylor]: Taking taylor expansion of 1/2 in M 1.500 * [backup-simplify]: Simplify 1/2 into 1/2 1.500 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.500 * [taylor]: Taking taylor expansion of (- M) in M 1.500 * [taylor]: Taking taylor expansion of M in M 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (- 1) into -1 1.501 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.505 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [taylor]: Taking taylor expansion of 0 in n 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [taylor]: Taking taylor expansion of 0 in M 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.507 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 1.507 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.507 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.507 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.507 * [taylor]: Taking taylor expansion of 1/2 in M 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.507 * [taylor]: Taking taylor expansion of (* m K) in M 1.507 * [taylor]: Taking taylor expansion of m in M 1.507 * [backup-simplify]: Simplify m into m 1.507 * [taylor]: Taking taylor expansion of K in M 1.507 * [backup-simplify]: Simplify K into K 1.507 * [backup-simplify]: Simplify (* m K) into (* m K) 1.507 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.507 * [taylor]: Taking taylor expansion of 1/2 in M 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.507 * [taylor]: Taking taylor expansion of (* K n) in M 1.507 * [taylor]: Taking taylor expansion of K in M 1.507 * [backup-simplify]: Simplify K into K 1.507 * [taylor]: Taking taylor expansion of n in M 1.507 * [backup-simplify]: Simplify n into n 1.507 * [backup-simplify]: Simplify (* K n) into (* K n) 1.507 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.507 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.508 * [taylor]: Taking taylor expansion of M in M 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [backup-simplify]: Simplify (- 1) into -1 1.509 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.509 * [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))) 1.509 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.509 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.509 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.509 * [taylor]: Taking taylor expansion of 1/2 in n 1.509 * [backup-simplify]: Simplify 1/2 into 1/2 1.509 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.509 * [taylor]: Taking taylor expansion of (* m K) in n 1.509 * [taylor]: Taking taylor expansion of m in n 1.509 * [backup-simplify]: Simplify m into m 1.509 * [taylor]: Taking taylor expansion of K in n 1.509 * [backup-simplify]: Simplify K into K 1.510 * [backup-simplify]: Simplify (* m K) into (* m K) 1.510 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.510 * [taylor]: Taking taylor expansion of 1/2 in n 1.510 * [backup-simplify]: Simplify 1/2 into 1/2 1.510 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.510 * [taylor]: Taking taylor expansion of (* K n) in n 1.510 * [taylor]: Taking taylor expansion of K in n 1.510 * [backup-simplify]: Simplify K into K 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (* K 0) into 0 1.510 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.510 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.510 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.510 * [taylor]: Taking taylor expansion of M in n 1.510 * [backup-simplify]: Simplify M into M 1.510 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.511 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.511 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.511 * [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))) 1.511 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.511 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.511 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.511 * [taylor]: Taking taylor expansion of 1/2 in m 1.511 * [backup-simplify]: Simplify 1/2 into 1/2 1.511 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.511 * [taylor]: Taking taylor expansion of (* m K) in m 1.511 * [taylor]: Taking taylor expansion of m in m 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [taylor]: Taking taylor expansion of K in m 1.511 * [backup-simplify]: Simplify K into K 1.511 * [backup-simplify]: Simplify (* 0 K) into 0 1.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.512 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.512 * [taylor]: Taking taylor expansion of 1/2 in m 1.512 * [backup-simplify]: Simplify 1/2 into 1/2 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.512 * [taylor]: Taking taylor expansion of (* K n) in m 1.512 * [taylor]: Taking taylor expansion of K in m 1.512 * [backup-simplify]: Simplify K into K 1.512 * [taylor]: Taking taylor expansion of n in m 1.512 * [backup-simplify]: Simplify n into n 1.512 * [backup-simplify]: Simplify (* K n) into (* K n) 1.512 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.512 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.512 * [taylor]: Taking taylor expansion of M in m 1.512 * [backup-simplify]: Simplify M into M 1.512 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.512 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.513 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.513 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.513 * [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))) 1.513 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.513 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.513 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.513 * [taylor]: Taking taylor expansion of 1/2 in K 1.513 * [backup-simplify]: Simplify 1/2 into 1/2 1.513 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.513 * [taylor]: Taking taylor expansion of (* m K) in K 1.513 * [taylor]: Taking taylor expansion of m in K 1.513 * [backup-simplify]: Simplify m into m 1.513 * [taylor]: Taking taylor expansion of K in K 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (* m 0) into 0 1.514 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.514 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.514 * [taylor]: Taking taylor expansion of 1/2 in K 1.514 * [backup-simplify]: Simplify 1/2 into 1/2 1.514 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.514 * [taylor]: Taking taylor expansion of (* K n) in K 1.514 * [taylor]: Taking taylor expansion of K in K 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [taylor]: Taking taylor expansion of n in K 1.514 * [backup-simplify]: Simplify n into n 1.514 * [backup-simplify]: Simplify (* 0 n) into 0 1.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.515 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.515 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.515 * [taylor]: Taking taylor expansion of M in K 1.515 * [backup-simplify]: Simplify M into M 1.515 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.515 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.515 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.515 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.515 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.516 * [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))) 1.516 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.516 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.516 * [taylor]: Taking taylor expansion of 1/2 in K 1.516 * [backup-simplify]: Simplify 1/2 into 1/2 1.516 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.516 * [taylor]: Taking taylor expansion of (* m K) in K 1.516 * [taylor]: Taking taylor expansion of m in K 1.516 * [backup-simplify]: Simplify m into m 1.516 * [taylor]: Taking taylor expansion of K in K 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* m 0) into 0 1.516 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.516 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.517 * [taylor]: Taking taylor expansion of 1/2 in K 1.517 * [backup-simplify]: Simplify 1/2 into 1/2 1.517 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.517 * [taylor]: Taking taylor expansion of (* K n) in K 1.517 * [taylor]: Taking taylor expansion of K in K 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [taylor]: Taking taylor expansion of n in K 1.517 * [backup-simplify]: Simplify n into n 1.517 * [backup-simplify]: Simplify (* 0 n) into 0 1.517 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.517 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.517 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.517 * [taylor]: Taking taylor expansion of M in K 1.517 * [backup-simplify]: Simplify M into M 1.517 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.517 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.517 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.518 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.518 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.518 * [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))) 1.518 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.518 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.518 * [taylor]: Taking taylor expansion of 1/2 in m 1.518 * [backup-simplify]: Simplify 1/2 into 1/2 1.518 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.518 * [taylor]: Taking taylor expansion of (* m K) in m 1.518 * [taylor]: Taking taylor expansion of m in m 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [taylor]: Taking taylor expansion of K in m 1.518 * [backup-simplify]: Simplify K into K 1.519 * [backup-simplify]: Simplify (* 0 K) into 0 1.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.519 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.519 * [taylor]: Taking taylor expansion of 1/2 in m 1.519 * [backup-simplify]: Simplify 1/2 into 1/2 1.519 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.519 * [taylor]: Taking taylor expansion of (* K n) in m 1.519 * [taylor]: Taking taylor expansion of K in m 1.519 * [backup-simplify]: Simplify K into K 1.519 * [taylor]: Taking taylor expansion of n in m 1.519 * [backup-simplify]: Simplify n into n 1.519 * [backup-simplify]: Simplify (* K n) into (* K n) 1.519 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.519 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.519 * [taylor]: Taking taylor expansion of M in m 1.520 * [backup-simplify]: Simplify M into M 1.520 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.520 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.520 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.520 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.520 * [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))) 1.520 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.520 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.520 * [taylor]: Taking taylor expansion of 1/2 in n 1.521 * [backup-simplify]: Simplify 1/2 into 1/2 1.521 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.521 * [taylor]: Taking taylor expansion of (* m K) in n 1.521 * [taylor]: Taking taylor expansion of m in n 1.521 * [backup-simplify]: Simplify m into m 1.521 * [taylor]: Taking taylor expansion of K in n 1.521 * [backup-simplify]: Simplify K into K 1.521 * [backup-simplify]: Simplify (* m K) into (* m K) 1.521 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.521 * [taylor]: Taking taylor expansion of 1/2 in n 1.521 * [backup-simplify]: Simplify 1/2 into 1/2 1.521 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.521 * [taylor]: Taking taylor expansion of (* K n) in n 1.521 * [taylor]: Taking taylor expansion of K in n 1.521 * [backup-simplify]: Simplify K into K 1.521 * [taylor]: Taking taylor expansion of n in n 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (* K 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.522 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.522 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.522 * [taylor]: Taking taylor expansion of M in n 1.522 * [backup-simplify]: Simplify M into M 1.522 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.522 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.522 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.522 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.522 * [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))) 1.523 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.523 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.523 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.523 * [taylor]: Taking taylor expansion of 1/2 in M 1.523 * [backup-simplify]: Simplify 1/2 into 1/2 1.523 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.523 * [taylor]: Taking taylor expansion of (* m K) in M 1.523 * [taylor]: Taking taylor expansion of m in M 1.523 * [backup-simplify]: Simplify m into m 1.523 * [taylor]: Taking taylor expansion of K in M 1.523 * [backup-simplify]: Simplify K into K 1.523 * [backup-simplify]: Simplify (* m K) into (* m K) 1.523 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.523 * [taylor]: Taking taylor expansion of 1/2 in M 1.523 * [backup-simplify]: Simplify 1/2 into 1/2 1.523 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.523 * [taylor]: Taking taylor expansion of (* K n) in M 1.523 * [taylor]: Taking taylor expansion of K in M 1.523 * [backup-simplify]: Simplify K into K 1.523 * [taylor]: Taking taylor expansion of n in M 1.523 * [backup-simplify]: Simplify n into n 1.523 * [backup-simplify]: Simplify (* K n) into (* K n) 1.523 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.523 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.523 * [taylor]: Taking taylor expansion of M in M 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (/ 1 1) into 1 1.524 * [backup-simplify]: Simplify (- 1) into -1 1.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.525 * [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))) 1.525 * [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))) 1.526 * [taylor]: Taking taylor expansion of 0 in m 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in n 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in M 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in n 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in M 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in M 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in m 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in n 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in M 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in n 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in M 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [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)) 1.527 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.527 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 1.527 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.527 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.527 * [taylor]: Taking taylor expansion of M in M 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (/ 1 1) into 1 1.528 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.528 * [taylor]: Taking taylor expansion of 1/2 in M 1.528 * [backup-simplify]: Simplify 1/2 into 1/2 1.528 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.528 * [taylor]: Taking taylor expansion of (* m K) in M 1.528 * [taylor]: Taking taylor expansion of m in M 1.528 * [backup-simplify]: Simplify m into m 1.528 * [taylor]: Taking taylor expansion of K in M 1.528 * [backup-simplify]: Simplify K into K 1.528 * [backup-simplify]: Simplify (* m K) into (* m K) 1.528 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.528 * [taylor]: Taking taylor expansion of 1/2 in M 1.528 * [backup-simplify]: Simplify 1/2 into 1/2 1.528 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.528 * [taylor]: Taking taylor expansion of (* K n) in M 1.528 * [taylor]: Taking taylor expansion of K in M 1.528 * [backup-simplify]: Simplify K into K 1.528 * [taylor]: Taking taylor expansion of n in M 1.528 * [backup-simplify]: Simplify n into n 1.529 * [backup-simplify]: Simplify (* K n) into (* K n) 1.529 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.529 * [backup-simplify]: Simplify (+ 1 0) into 1 1.529 * [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)))))) 1.529 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.530 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.530 * [taylor]: Taking taylor expansion of M in n 1.530 * [backup-simplify]: Simplify M into M 1.530 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.530 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.530 * [taylor]: Taking taylor expansion of 1/2 in n 1.530 * [backup-simplify]: Simplify 1/2 into 1/2 1.530 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.530 * [taylor]: Taking taylor expansion of (* m K) in n 1.530 * [taylor]: Taking taylor expansion of m in n 1.530 * [backup-simplify]: Simplify m into m 1.530 * [taylor]: Taking taylor expansion of K in n 1.530 * [backup-simplify]: Simplify K into K 1.530 * [backup-simplify]: Simplify (* m K) into (* m K) 1.530 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.530 * [taylor]: Taking taylor expansion of 1/2 in n 1.530 * [backup-simplify]: Simplify 1/2 into 1/2 1.530 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.530 * [taylor]: Taking taylor expansion of (* K n) in n 1.530 * [taylor]: Taking taylor expansion of K in n 1.530 * [backup-simplify]: Simplify K into K 1.530 * [taylor]: Taking taylor expansion of n in n 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (* K 0) into 0 1.531 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.531 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.531 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.531 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.531 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.531 * [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)))))) 1.531 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.531 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.531 * [taylor]: Taking taylor expansion of M in m 1.532 * [backup-simplify]: Simplify M into M 1.532 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.532 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.532 * [taylor]: Taking taylor expansion of 1/2 in m 1.532 * [backup-simplify]: Simplify 1/2 into 1/2 1.532 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.532 * [taylor]: Taking taylor expansion of (* m K) in m 1.532 * [taylor]: Taking taylor expansion of m in m 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [taylor]: Taking taylor expansion of K in m 1.532 * [backup-simplify]: Simplify K into K 1.532 * [backup-simplify]: Simplify (* 0 K) into 0 1.532 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.532 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.532 * [taylor]: Taking taylor expansion of 1/2 in m 1.533 * [backup-simplify]: Simplify 1/2 into 1/2 1.533 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.533 * [taylor]: Taking taylor expansion of (* K n) in m 1.533 * [taylor]: Taking taylor expansion of K in m 1.533 * [backup-simplify]: Simplify K into K 1.533 * [taylor]: Taking taylor expansion of n in m 1.533 * [backup-simplify]: Simplify n into n 1.533 * [backup-simplify]: Simplify (* K n) into (* K n) 1.533 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.533 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.533 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.533 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.533 * [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)))))) 1.533 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.533 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.533 * [taylor]: Taking taylor expansion of M in K 1.533 * [backup-simplify]: Simplify M into M 1.533 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.534 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.534 * [taylor]: Taking taylor expansion of 1/2 in K 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.534 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.534 * [taylor]: Taking taylor expansion of (* m K) in K 1.534 * [taylor]: Taking taylor expansion of m in K 1.534 * [backup-simplify]: Simplify m into m 1.534 * [taylor]: Taking taylor expansion of K in K 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* m 0) into 0 1.534 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.534 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.534 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.534 * [taylor]: Taking taylor expansion of 1/2 in K 1.534 * [backup-simplify]: Simplify 1/2 into 1/2 1.534 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.535 * [taylor]: Taking taylor expansion of (* K n) in K 1.535 * [taylor]: Taking taylor expansion of K in K 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [taylor]: Taking taylor expansion of n in K 1.535 * [backup-simplify]: Simplify n into n 1.535 * [backup-simplify]: Simplify (* 0 n) into 0 1.535 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.535 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.535 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.535 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.535 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.536 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.536 * [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)))))) 1.536 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.536 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.536 * [taylor]: Taking taylor expansion of M in K 1.536 * [backup-simplify]: Simplify M into M 1.536 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.536 * [taylor]: Taking taylor expansion of 1/2 in K 1.536 * [backup-simplify]: Simplify 1/2 into 1/2 1.536 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.536 * [taylor]: Taking taylor expansion of (* m K) in K 1.536 * [taylor]: Taking taylor expansion of m in K 1.536 * [backup-simplify]: Simplify m into m 1.536 * [taylor]: Taking taylor expansion of K in K 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* m 0) into 0 1.537 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.537 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.537 * [taylor]: Taking taylor expansion of 1/2 in K 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.537 * [taylor]: Taking taylor expansion of (* K n) in K 1.537 * [taylor]: Taking taylor expansion of K in K 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [taylor]: Taking taylor expansion of n in K 1.537 * [backup-simplify]: Simplify n into n 1.537 * [backup-simplify]: Simplify (* 0 n) into 0 1.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.538 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.538 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.538 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.538 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.538 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.538 * [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)))))) 1.539 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.539 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.539 * [taylor]: Taking taylor expansion of M in m 1.539 * [backup-simplify]: Simplify M into M 1.539 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.539 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.539 * [taylor]: Taking taylor expansion of 1/2 in m 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.539 * [taylor]: Taking taylor expansion of (* m K) in m 1.539 * [taylor]: Taking taylor expansion of m in m 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of K in m 1.539 * [backup-simplify]: Simplify K into K 1.539 * [backup-simplify]: Simplify (* 0 K) into 0 1.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.540 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.540 * [taylor]: Taking taylor expansion of 1/2 in m 1.540 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.540 * [taylor]: Taking taylor expansion of (* K n) in m 1.540 * [taylor]: Taking taylor expansion of K in m 1.540 * [backup-simplify]: Simplify K into K 1.540 * [taylor]: Taking taylor expansion of n in m 1.540 * [backup-simplify]: Simplify n into n 1.540 * [backup-simplify]: Simplify (* K n) into (* K n) 1.540 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.540 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.540 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.540 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.541 * [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)))))) 1.541 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.541 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.541 * [taylor]: Taking taylor expansion of M in n 1.541 * [backup-simplify]: Simplify M into M 1.541 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.541 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (/ 1 (* m K)) in n 1.541 * [taylor]: Taking taylor expansion of (* m K) in n 1.541 * [taylor]: Taking taylor expansion of m in n 1.541 * [backup-simplify]: Simplify m into m 1.541 * [taylor]: Taking taylor expansion of K in n 1.541 * [backup-simplify]: Simplify K into K 1.541 * [backup-simplify]: Simplify (* m K) into (* m K) 1.541 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* 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 (/ 1 (* K n)) in n 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 * [backup-simplify]: Simplify (* K 0) into 0 1.542 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.542 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.542 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.542 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.542 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.543 * [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)))))) 1.543 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.543 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.543 * [taylor]: Taking taylor expansion of (/ 1 M) in M 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (/ 1 (* m K)) in M 1.543 * [taylor]: Taking taylor expansion of (* m K) in M 1.543 * [taylor]: Taking taylor expansion of m in M 1.544 * [backup-simplify]: Simplify m into m 1.544 * [taylor]: Taking taylor expansion of K in M 1.544 * [backup-simplify]: Simplify K into K 1.544 * [backup-simplify]: Simplify (* m K) into (* m K) 1.544 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* 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 (/ 1 (* K n)) in M 1.544 * [taylor]: Taking taylor expansion of (* K n) in M 1.544 * [taylor]: Taking taylor expansion of K in M 1.544 * [backup-simplify]: Simplify K into K 1.544 * [taylor]: Taking taylor expansion of n in M 1.544 * [backup-simplify]: Simplify n into n 1.544 * [backup-simplify]: Simplify (* K n) into (* K n) 1.544 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.544 * [backup-simplify]: Simplify (+ 1 0) into 1 1.545 * [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)))))) 1.545 * [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)))))) 1.545 * [taylor]: Taking taylor expansion of 0 in m 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [taylor]: Taking taylor expansion of 0 in n 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [taylor]: Taking taylor expansion of 0 in M 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [taylor]: Taking taylor expansion of 0 in n 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [taylor]: Taking taylor expansion of 0 in M 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in M 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in m 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in n 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in M 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in n 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in M 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [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)) 1.547 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 1) 1.547 * [backup-simplify]: Simplify (* K (/ (+ m n) 2)) into (* 1/2 (* K (+ m n))) 1.547 * [approximate]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in (K m n) around 0 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m 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 (+ m 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 (+ m n) in n 1.547 * [taylor]: Taking taylor expansion of m in n 1.547 * [backup-simplify]: Simplify m into m 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 (* 1/2 (* K (+ m n))) in m 1.547 * [taylor]: Taking taylor expansion of 1/2 in m 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.547 * [taylor]: Taking taylor expansion of K in m 1.547 * [backup-simplify]: Simplify K into K 1.547 * [taylor]: Taking taylor expansion of (+ m n) in m 1.547 * [taylor]: Taking taylor expansion of m in m 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [taylor]: Taking taylor expansion of n in m 1.547 * [backup-simplify]: Simplify n into n 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 1.547 * [taylor]: Taking taylor expansion of 1/2 in K 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.547 * [taylor]: Taking taylor expansion of K in K 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [taylor]: Taking taylor expansion of (+ m n) in K 1.547 * [taylor]: Taking taylor expansion of m in K 1.548 * [backup-simplify]: Simplify m into m 1.548 * [taylor]: Taking taylor expansion of n in K 1.548 * [backup-simplify]: Simplify n into n 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 1.548 * [taylor]: Taking taylor expansion of 1/2 in K 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.548 * [taylor]: Taking taylor expansion of K in K 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of (+ m n) in K 1.548 * [taylor]: Taking taylor expansion of m in K 1.548 * [backup-simplify]: Simplify m into m 1.548 * [taylor]: Taking taylor expansion of n in K 1.548 * [backup-simplify]: Simplify n into n 1.548 * [backup-simplify]: Simplify (+ m n) into (+ m n) 1.548 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 1.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in m 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [taylor]: Taking taylor expansion of 0 in n 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 1.550 * [backup-simplify]: Simplify (+ (* 1/2 (+ m n)) (* 0 0)) into (+ (* 1/2 m) (* 1/2 n)) 1.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.550 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.550 * [taylor]: Taking taylor expansion of 1/2 in m 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of m in m 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.550 * [taylor]: Taking taylor expansion of 1/2 in m 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of n in m 1.550 * [backup-simplify]: Simplify n into n 1.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.551 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.551 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.551 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.551 * [taylor]: Taking taylor expansion of 1/2 in n 1.551 * [backup-simplify]: Simplify 1/2 into 1/2 1.551 * [taylor]: Taking taylor expansion of n in n 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [taylor]: Taking taylor expansion of 0 in n 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 1.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (+ m n)) (* 0 0))) into 0 1.554 * [taylor]: Taking taylor expansion of 0 in m 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [taylor]: Taking taylor expansion of 0 in n 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.555 * [taylor]: Taking taylor expansion of 1/2 in n 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.556 * [taylor]: Taking taylor expansion of 0 in n 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.556 * [backup-simplify]: Simplify 1/2 into 1/2 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ m n)) (* 0 0)))) into 0 1.559 * [taylor]: Taking taylor expansion of 0 in m 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [taylor]: Taking taylor expansion of 0 in n 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [taylor]: Taking taylor expansion of 0 in n 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [taylor]: Taking taylor expansion of 0 in n 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [taylor]: Taking taylor expansion of 0 in n 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 1.562 * [backup-simplify]: Simplify (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 1.562 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 1.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 1.562 * [taylor]: Taking taylor expansion of 1/2 in n 1.562 * [backup-simplify]: Simplify 1/2 into 1/2 1.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.562 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.562 * [taylor]: Taking taylor expansion of m in n 1.562 * [backup-simplify]: Simplify m into m 1.562 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.562 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.562 * [taylor]: Taking taylor expansion of n in n 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.563 * [taylor]: Taking taylor expansion of K in n 1.563 * [backup-simplify]: Simplify K into K 1.563 * [backup-simplify]: Simplify (+ 0 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.564 * [taylor]: Taking taylor expansion of 1/2 in m 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.564 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.564 * [taylor]: Taking taylor expansion of m in m 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.564 * [taylor]: Taking taylor expansion of n in m 1.564 * [backup-simplify]: Simplify n into n 1.564 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.564 * [taylor]: Taking taylor expansion of K in m 1.564 * [backup-simplify]: Simplify K into K 1.565 * [backup-simplify]: Simplify (+ 1 0) into 1 1.565 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.565 * [taylor]: Taking taylor expansion of 1/2 in K 1.565 * [backup-simplify]: Simplify 1/2 into 1/2 1.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.565 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.565 * [taylor]: Taking taylor expansion of m in K 1.565 * [backup-simplify]: Simplify m into m 1.565 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.565 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.565 * [taylor]: Taking taylor expansion of n in K 1.565 * [backup-simplify]: Simplify n into n 1.565 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.565 * [taylor]: Taking taylor expansion of K in K 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.565 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.565 * [taylor]: Taking taylor expansion of 1/2 in K 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.566 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.566 * [taylor]: Taking taylor expansion of m in K 1.566 * [backup-simplify]: Simplify m into m 1.566 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.566 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.566 * [taylor]: Taking taylor expansion of n in K 1.566 * [backup-simplify]: Simplify n into n 1.566 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.566 * [taylor]: Taking taylor expansion of K in K 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.566 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.566 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 1.566 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 1.566 * [taylor]: Taking taylor expansion of 1/2 in m 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.566 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.566 * [taylor]: Taking taylor expansion of m in m 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.567 * [taylor]: Taking taylor expansion of n in m 1.567 * [backup-simplify]: Simplify n into n 1.567 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.568 * [backup-simplify]: Simplify (+ 1 0) into 1 1.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.568 * [taylor]: Taking taylor expansion of 1/2 in n 1.568 * [backup-simplify]: Simplify 1/2 into 1/2 1.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 1.570 * [taylor]: Taking taylor expansion of 0 in m 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.571 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 1.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.571 * [taylor]: Taking taylor expansion of 1/2 in n 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ 1 1) into 1 1.572 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [backup-simplify]: Simplify 1/2 into 1/2 1.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 1.575 * [taylor]: Taking taylor expansion of 0 in m 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [taylor]: Taking taylor expansion of 0 in n 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 1.578 * [taylor]: Taking taylor expansion of 0 in n 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 1.582 * [taylor]: Taking taylor expansion of 0 in m 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [taylor]: Taking taylor expansion of 0 in n 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [taylor]: Taking taylor expansion of 0 in n 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 1.584 * [taylor]: Taking taylor expansion of 0 in n 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 1.585 * [backup-simplify]: Simplify (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 1.585 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 1.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 1.585 * [taylor]: Taking taylor expansion of 1/2 in n 1.585 * [backup-simplify]: Simplify 1/2 into 1/2 1.586 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.586 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.586 * [taylor]: Taking taylor expansion of m in n 1.586 * [backup-simplify]: Simplify m into m 1.586 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.586 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.586 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [taylor]: Taking taylor expansion of K in n 1.586 * [backup-simplify]: Simplify K into K 1.586 * [backup-simplify]: Simplify (+ 0 1) into 1 1.586 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.586 * [taylor]: Taking taylor expansion of 1/2 in m 1.586 * [backup-simplify]: Simplify 1/2 into 1/2 1.586 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.586 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.586 * [taylor]: Taking taylor expansion of m in m 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.587 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.587 * [taylor]: Taking taylor expansion of n in m 1.587 * [backup-simplify]: Simplify n into n 1.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.587 * [taylor]: Taking taylor expansion of K in m 1.587 * [backup-simplify]: Simplify K into K 1.587 * [backup-simplify]: Simplify (+ 1 0) into 1 1.587 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.587 * [taylor]: Taking taylor expansion of 1/2 in K 1.587 * [backup-simplify]: Simplify 1/2 into 1/2 1.587 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.587 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.587 * [taylor]: Taking taylor expansion of m in K 1.587 * [backup-simplify]: Simplify m into m 1.587 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.587 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.587 * [taylor]: Taking taylor expansion of n in K 1.587 * [backup-simplify]: Simplify n into n 1.587 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.587 * [taylor]: Taking taylor expansion of K in K 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.587 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.588 * [taylor]: Taking taylor expansion of 1/2 in K 1.588 * [backup-simplify]: Simplify 1/2 into 1/2 1.588 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.588 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.588 * [taylor]: Taking taylor expansion of m in K 1.588 * [backup-simplify]: Simplify m into m 1.588 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.588 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.588 * [taylor]: Taking taylor expansion of n in K 1.588 * [backup-simplify]: Simplify n into n 1.588 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.588 * [taylor]: Taking taylor expansion of K in K 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.588 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.588 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 1.588 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 1.588 * [taylor]: Taking taylor expansion of 1/2 in m 1.588 * [backup-simplify]: Simplify 1/2 into 1/2 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.588 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.588 * [taylor]: Taking taylor expansion of m in m 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.588 * [taylor]: Taking taylor expansion of n in m 1.588 * [backup-simplify]: Simplify n into n 1.588 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.589 * [backup-simplify]: Simplify (+ 1 0) into 1 1.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.589 * [taylor]: Taking taylor expansion of 1/2 in n 1.589 * [backup-simplify]: Simplify 1/2 into 1/2 1.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 1.590 * [taylor]: Taking taylor expansion of 0 in m 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.591 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.591 * [taylor]: Taking taylor expansion of 1/2 in n 1.591 * [backup-simplify]: Simplify 1/2 into 1/2 1.591 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.591 * [taylor]: Taking taylor expansion of n in n 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.592 * [backup-simplify]: Simplify 1/2 into 1/2 1.592 * [backup-simplify]: Simplify 1/2 into 1/2 1.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 1.594 * [taylor]: Taking taylor expansion of 0 in m 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [taylor]: Taking taylor expansion of 0 in n 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 1.595 * [taylor]: Taking taylor expansion of 0 in n 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 1.599 * [taylor]: Taking taylor expansion of 0 in m 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [taylor]: Taking taylor expansion of 0 in n 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [taylor]: Taking taylor expansion of 0 in n 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 1.601 * [taylor]: Taking taylor expansion of 0 in n 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 1.602 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.603 * [backup-simplify]: Simplify (- (* K (/ (+ m n) 2)) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.603 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (K m n M) around 0 1.603 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.603 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.603 * [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 (* 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 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.603 * [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 (* K m) 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 m in M 1.603 * [backup-simplify]: Simplify m into 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 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.603 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.603 * [taylor]: Taking taylor expansion of 1/2 in n 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of (* K n) in n 1.603 * [taylor]: Taking taylor expansion of K in n 1.603 * [backup-simplify]: Simplify K into K 1.603 * [taylor]: Taking taylor expansion of n in n 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.603 * [taylor]: Taking taylor expansion of 1/2 in n 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of (* K m) in n 1.603 * [taylor]: Taking taylor expansion of K in n 1.603 * [backup-simplify]: Simplify K into K 1.603 * [taylor]: Taking taylor expansion of m in n 1.603 * [backup-simplify]: Simplify m into m 1.603 * [taylor]: Taking taylor expansion of M in n 1.603 * [backup-simplify]: Simplify M into M 1.603 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.603 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.603 * [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 (* 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 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.603 * [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 (* K m) 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 m in m 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [taylor]: Taking taylor expansion of M in m 1.604 * [backup-simplify]: Simplify M into M 1.604 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.604 * [taylor]: Taking taylor expansion of 1/2 in K 1.604 * [backup-simplify]: Simplify 1/2 into 1/2 1.604 * [taylor]: Taking taylor expansion of (* K n) in K 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [taylor]: Taking taylor expansion of n in K 1.604 * [backup-simplify]: Simplify n into n 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.604 * [taylor]: Taking taylor expansion of 1/2 in K 1.604 * [backup-simplify]: Simplify 1/2 into 1/2 1.604 * [taylor]: Taking taylor expansion of (* K m) in K 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [taylor]: Taking taylor expansion of m in K 1.604 * [backup-simplify]: Simplify m into m 1.604 * [taylor]: Taking taylor expansion of M in K 1.604 * [backup-simplify]: Simplify M into M 1.604 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.604 * [taylor]: Taking taylor expansion of 1/2 in K 1.604 * [backup-simplify]: Simplify 1/2 into 1/2 1.604 * [taylor]: Taking taylor expansion of (* K n) in K 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [taylor]: Taking taylor expansion of n in K 1.604 * [backup-simplify]: Simplify n into n 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.604 * [taylor]: Taking taylor expansion of 1/2 in K 1.604 * [backup-simplify]: Simplify 1/2 into 1/2 1.604 * [taylor]: Taking taylor expansion of (* K m) in K 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [taylor]: Taking taylor expansion of m in K 1.604 * [backup-simplify]: Simplify m into m 1.604 * [taylor]: Taking taylor expansion of M in K 1.604 * [backup-simplify]: Simplify M into M 1.604 * [backup-simplify]: Simplify (* 0 n) into 0 1.605 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.605 * [backup-simplify]: Simplify (* 0 m) into 0 1.605 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (- M) into (- M) 1.605 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.605 * [taylor]: Taking taylor expansion of (- M) in m 1.605 * [taylor]: Taking taylor expansion of M in m 1.605 * [backup-simplify]: Simplify M into M 1.605 * [backup-simplify]: Simplify (- M) into (- M) 1.605 * [taylor]: Taking taylor expansion of (- M) in n 1.605 * [taylor]: Taking taylor expansion of M in n 1.605 * [backup-simplify]: Simplify M into M 1.605 * [backup-simplify]: Simplify (- M) into (- M) 1.605 * [taylor]: Taking taylor expansion of (- M) in M 1.605 * [taylor]: Taking taylor expansion of M in M 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.606 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 1.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 1.607 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 1.607 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.608 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.608 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.608 * [taylor]: Taking taylor expansion of 1/2 in m 1.608 * [backup-simplify]: Simplify 1/2 into 1/2 1.608 * [taylor]: Taking taylor expansion of m in m 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.608 * [taylor]: Taking taylor expansion of 1/2 in m 1.608 * [backup-simplify]: Simplify 1/2 into 1/2 1.608 * [taylor]: Taking taylor expansion of n in m 1.608 * [backup-simplify]: Simplify n into n 1.611 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.611 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.611 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.611 * [taylor]: Taking taylor expansion of (* 1/2 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 n in n 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.612 * [taylor]: Taking taylor expansion of 0 in M 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [taylor]: Taking taylor expansion of 0 in n 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in M 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [taylor]: Taking taylor expansion of 0 in M 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (- 1) into -1 1.614 * [backup-simplify]: Simplify -1 into -1 1.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [taylor]: Taking taylor expansion of 0 in m 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [taylor]: Taking taylor expansion of 0 in n 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [taylor]: Taking taylor expansion of 0 in M 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.621 * [taylor]: Taking taylor expansion of 1/2 in n 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.621 * [taylor]: Taking taylor expansion of 1/2 in M 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.621 * [backup-simplify]: Simplify 1/2 into 1/2 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in n 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [taylor]: Taking taylor expansion of 0 in M 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.622 * [taylor]: Taking taylor expansion of 1/2 in M 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.623 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.623 * [backup-simplify]: Simplify (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 1.623 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (K m n M) around 0 1.623 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.623 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (* m K)) in M 1.623 * [taylor]: Taking taylor expansion of (* m K) in M 1.623 * [taylor]: Taking taylor expansion of m in M 1.623 * [backup-simplify]: Simplify m into m 1.623 * [taylor]: Taking taylor expansion of K in M 1.623 * [backup-simplify]: Simplify K into K 1.623 * [backup-simplify]: Simplify (* m K) into (* m K) 1.623 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m 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 1.624 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.624 * [taylor]: Taking taylor expansion of (* K n) in M 1.624 * [taylor]: Taking taylor expansion of K in M 1.624 * [backup-simplify]: Simplify K into K 1.624 * [taylor]: Taking taylor expansion of n in M 1.624 * [backup-simplify]: Simplify n into n 1.624 * [backup-simplify]: Simplify (* K n) into (* K n) 1.624 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.624 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.624 * [taylor]: Taking taylor expansion of M in M 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.624 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (* 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 1.625 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.625 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.625 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.625 * [taylor]: Taking taylor expansion of M in n 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)))) (/ 1 M)) in m 1.625 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.625 * [taylor]: Taking taylor expansion of 1/2 in m 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.625 * [taylor]: Taking taylor expansion of (* m K) in m 1.625 * [taylor]: Taking taylor expansion of m in m 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of K in m 1.625 * [backup-simplify]: Simplify K into K 1.625 * [backup-simplify]: Simplify (* 0 K) into 0 1.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.625 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.625 * [taylor]: Taking taylor expansion of 1/2 in m 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.625 * [taylor]: Taking taylor expansion of (* K n) in m 1.625 * [taylor]: Taking taylor expansion of K in m 1.625 * [backup-simplify]: Simplify K into K 1.625 * [taylor]: Taking taylor expansion of n in m 1.625 * [backup-simplify]: Simplify n into n 1.625 * [backup-simplify]: Simplify (* K n) into (* K n) 1.626 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 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 M into M 1.626 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.626 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.626 * [taylor]: Taking taylor expansion of 1/2 in K 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.626 * [taylor]: Taking taylor expansion of (* m K) in K 1.626 * [taylor]: Taking taylor expansion of m in K 1.626 * [backup-simplify]: Simplify m into m 1.626 * [taylor]: Taking taylor expansion of K in K 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* m 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.626 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.626 * [taylor]: Taking taylor expansion of 1/2 in K 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.626 * [taylor]: Taking taylor expansion of (* K n) in K 1.626 * [taylor]: Taking taylor expansion of K in K 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [taylor]: Taking taylor expansion of n in K 1.626 * [backup-simplify]: Simplify n into n 1.626 * [backup-simplify]: Simplify (* 0 n) into 0 1.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.627 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.627 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.627 * [taylor]: Taking taylor expansion of M in K 1.627 * [backup-simplify]: Simplify M into M 1.627 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.627 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.627 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.627 * [taylor]: Taking taylor expansion of 1/2 in K 1.627 * [backup-simplify]: Simplify 1/2 into 1/2 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.627 * [taylor]: Taking taylor expansion of (* m K) in K 1.627 * [taylor]: Taking taylor expansion of m in K 1.627 * [backup-simplify]: Simplify m into m 1.627 * [taylor]: Taking taylor expansion of K in K 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (* m 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.627 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.627 * [taylor]: Taking taylor expansion of 1/2 in K 1.627 * [backup-simplify]: Simplify 1/2 into 1/2 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.627 * [taylor]: Taking taylor expansion of (* K n) in K 1.627 * [taylor]: Taking taylor expansion of K in K 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [taylor]: Taking taylor expansion of n in K 1.627 * [backup-simplify]: Simplify n into n 1.627 * [backup-simplify]: Simplify (* 0 n) into 0 1.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.628 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.628 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.628 * [taylor]: Taking taylor expansion of M in K 1.628 * [backup-simplify]: Simplify M into M 1.628 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.628 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.628 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.628 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.628 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.628 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.628 * [taylor]: Taking taylor expansion of 1/2 in m 1.628 * [backup-simplify]: Simplify 1/2 into 1/2 1.628 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.628 * [taylor]: Taking taylor expansion of m in m 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 n) in m 1.629 * [taylor]: Taking taylor expansion of n in m 1.629 * [backup-simplify]: Simplify n into n 1.629 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.629 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.629 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.629 * [taylor]: Taking taylor expansion of 1/2 in n 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.632 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.632 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in m 1.632 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.632 * [taylor]: Taking taylor expansion of M in m 1.632 * [backup-simplify]: Simplify M into M 1.632 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.633 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.633 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.633 * [taylor]: Taking taylor expansion of 1/2 in n 1.633 * [backup-simplify]: Simplify 1/2 into 1/2 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.633 * [taylor]: Taking taylor expansion of 1/2 in M 1.633 * [backup-simplify]: Simplify 1/2 into 1/2 1.633 * [taylor]: Taking taylor expansion of 1/2 in M 1.634 * [backup-simplify]: Simplify 1/2 into 1/2 1.634 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [taylor]: Taking taylor expansion of 0 in m 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.637 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in n 1.637 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.637 * [taylor]: Taking taylor expansion of M in n 1.637 * [backup-simplify]: Simplify M into M 1.637 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [taylor]: Taking taylor expansion of 0 in n 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.640 * [taylor]: Taking taylor expansion of 0 in M 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [taylor]: Taking taylor expansion of 0 in M 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [taylor]: Taking taylor expansion of 0 in m 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [taylor]: Taking taylor expansion of 0 in n 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [taylor]: Taking taylor expansion of 0 in n 1.644 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [taylor]: Taking taylor expansion of 0 in n 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.646 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.646 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.646 * [taylor]: Taking taylor expansion of M in M 1.646 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (- 1) into -1 1.647 * [backup-simplify]: Simplify -1 into -1 1.648 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.648 * [backup-simplify]: Simplify (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 1.648 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (K m n M) around 0 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.648 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.648 * [taylor]: Taking taylor expansion of M in M 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ 1 1) into 1 1.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.648 * [taylor]: Taking taylor expansion of 1/2 in M 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.648 * [taylor]: Taking taylor expansion of (* m K) in M 1.648 * [taylor]: Taking taylor expansion of m in M 1.648 * [backup-simplify]: Simplify m into m 1.648 * [taylor]: Taking taylor expansion of K in M 1.648 * [backup-simplify]: Simplify K into K 1.648 * [backup-simplify]: Simplify (* m K) into (* m K) 1.648 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.648 * [taylor]: Taking taylor expansion of 1/2 in M 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.648 * [taylor]: Taking taylor expansion of (* K n) in M 1.648 * [taylor]: Taking taylor expansion of K in M 1.649 * [backup-simplify]: Simplify K into K 1.649 * [taylor]: Taking taylor expansion of n in M 1.649 * [backup-simplify]: Simplify n into n 1.649 * [backup-simplify]: Simplify (* K n) into (* K n) 1.649 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.649 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.649 * [taylor]: Taking taylor expansion of M in n 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 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.649 * [taylor]: Taking taylor expansion of 1/2 in n 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.649 * [taylor]: Taking taylor expansion of (* m K) in n 1.649 * [taylor]: Taking taylor expansion of m in n 1.649 * [backup-simplify]: Simplify m into m 1.649 * [taylor]: Taking taylor expansion of K in n 1.649 * [backup-simplify]: Simplify K into K 1.649 * [backup-simplify]: Simplify (* m K) into (* m K) 1.649 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.649 * [taylor]: Taking taylor expansion of 1/2 in n 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.649 * [taylor]: Taking taylor expansion of (* K n) in n 1.649 * [taylor]: Taking taylor expansion of K in n 1.649 * [backup-simplify]: Simplify K into K 1.649 * [taylor]: Taking taylor expansion of n in n 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* K 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.649 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 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 1.650 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.650 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.650 * [taylor]: Taking taylor expansion of 1/2 in m 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.650 * [taylor]: Taking taylor expansion of (* m K) in m 1.650 * [taylor]: Taking taylor expansion of m in m 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [taylor]: Taking taylor expansion of K in m 1.650 * [backup-simplify]: Simplify K into K 1.650 * [backup-simplify]: Simplify (* 0 K) into 0 1.650 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.650 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.650 * [taylor]: Taking taylor expansion of 1/2 in m 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.650 * [taylor]: Taking taylor expansion of (* K n) in m 1.650 * [taylor]: Taking taylor expansion of K in m 1.650 * [backup-simplify]: Simplify K into K 1.650 * [taylor]: Taking taylor expansion of n in m 1.650 * [backup-simplify]: Simplify n into n 1.650 * [backup-simplify]: Simplify (* K n) into (* K n) 1.650 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.650 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.650 * [taylor]: Taking taylor expansion of M in K 1.650 * [backup-simplify]: Simplify M into M 1.650 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.650 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.650 * [taylor]: Taking taylor expansion of 1/2 in K 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.650 * [taylor]: Taking taylor expansion of (* m K) in K 1.650 * [taylor]: Taking taylor expansion of m in K 1.650 * [backup-simplify]: Simplify m into m 1.650 * [taylor]: Taking taylor expansion of K in K 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (* m 0) into 0 1.651 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.651 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.651 * [taylor]: Taking taylor expansion of 1/2 in K 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.651 * [taylor]: Taking taylor expansion of (* K n) in K 1.651 * [taylor]: Taking taylor expansion of K in K 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [taylor]: Taking taylor expansion of n in K 1.651 * [backup-simplify]: Simplify n into n 1.651 * [backup-simplify]: Simplify (* 0 n) into 0 1.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.652 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.652 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.652 * [taylor]: Taking taylor expansion of M in K 1.652 * [backup-simplify]: Simplify M into M 1.652 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.652 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.652 * [taylor]: Taking taylor expansion of 1/2 in K 1.652 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.652 * [taylor]: Taking taylor expansion of (* m K) in K 1.652 * [taylor]: Taking taylor expansion of m in K 1.652 * [backup-simplify]: Simplify m into m 1.652 * [taylor]: Taking taylor expansion of K in K 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (* m 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.653 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.653 * [taylor]: Taking taylor expansion of 1/2 in K 1.653 * [backup-simplify]: Simplify 1/2 into 1/2 1.653 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.653 * [taylor]: Taking taylor expansion of (* K n) in K 1.653 * [taylor]: Taking taylor expansion of K in K 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of n in K 1.653 * [backup-simplify]: Simplify n into n 1.653 * [backup-simplify]: Simplify (* 0 n) into 0 1.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.653 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.654 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.654 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.654 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.654 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 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 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.655 * [taylor]: Taking taylor expansion of 1/2 in m 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.655 * [taylor]: Taking taylor expansion of n in m 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.655 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.656 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.656 * [taylor]: Taking taylor expansion of 1/2 in n 1.656 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.659 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.659 * [taylor]: Taking taylor expansion of M in m 1.659 * [backup-simplify]: Simplify M into M 1.659 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 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 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.661 * [taylor]: Taking taylor expansion of 1/2 in n 1.661 * [backup-simplify]: Simplify 1/2 into 1/2 1.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.661 * [taylor]: Taking taylor expansion of n in n 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.662 * [taylor]: Taking taylor expansion of 1/2 in M 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [taylor]: Taking taylor expansion of 1/2 in M 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [taylor]: Taking taylor expansion of 0 in m 1.667 * [backup-simplify]: Simplify 0 into 0 1.668 * [taylor]: Taking taylor expansion of (/ 1 M) 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 (/ 1 M) into (/ 1 M) 1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [taylor]: Taking taylor expansion of 0 in n 1.671 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in M 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [taylor]: Taking taylor expansion of 0 in M 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1/2 into 1/2 1.673 * [backup-simplify]: Simplify 1/2 into 1/2 1.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in m 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in n 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [taylor]: Taking taylor expansion of 0 in n 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.685 * [taylor]: Taking taylor expansion of M in M 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.687 * * * [progress]: simplifying candidates 1.687 * * * * [progress]: [ 1 / 82 ] simplifiying candidate # 1.688 * * * * [progress]: [ 2 / 82 ] simplifiying candidate # 1.688 * * * * [progress]: [ 3 / 82 ] simplifiying candidate # 1.688 * * * * [progress]: [ 4 / 82 ] simplifiying candidate # 1.688 * * * * [progress]: [ 5 / 82 ] simplifiying candidate # 1.688 * * * * [progress]: [ 6 / 82 ] simplifiying candidate # 1.690 * * * * [progress]: [ 7 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 8 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 9 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 10 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 11 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 12 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 13 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 14 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 15 / 82 ] simplifiying candidate # 1.691 * * * * [progress]: [ 16 / 82 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 1.692 * * * * [progress]: [ 17 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 18 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 19 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 20 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 21 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 22 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 23 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 24 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 25 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 26 / 82 ] simplifiying candidate # 1.692 * * * * [progress]: [ 27 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 28 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 29 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 30 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 31 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 32 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 33 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 34 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 35 / 82 ] simplifiying candidate # 1.693 * * * * [progress]: [ 36 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 37 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 38 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 39 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 40 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 41 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 42 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 43 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 44 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 45 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 46 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 47 / 82 ] simplifiying candidate # 1.694 * * * * [progress]: [ 48 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 49 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 50 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 51 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 52 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 53 / 82 ] simplifiying candidate #real (real->posit16 (* K (/ (+ m n) 2)))) M)) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 1.695 * * * * [progress]: [ 54 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 55 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 56 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 57 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 58 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 59 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 60 / 82 ] simplifiying candidate # 1.695 * * * * [progress]: [ 61 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 62 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 63 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 64 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 65 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 66 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 67 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 68 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 69 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 70 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 71 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 72 / 82 ] simplifiying candidate # 1.696 * * * * [progress]: [ 73 / 82 ] simplifiying candidate #real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 1.697 * * * * [progress]: [ 74 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 75 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 76 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 77 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 78 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 79 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 80 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 81 / 82 ] simplifiying candidate # 1.697 * * * * [progress]: [ 82 / 82 ] simplifiying candidate # 1.699 * [simplify]: Simplifying: (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (* K (/ (+ m n) 2))) (log1p (* K (/ (+ m n) 2))) (* K (/ (+ m n) 2)) (+ (log K) (- (log (+ m n)) (log 2))) (+ (log K) (log (/ (+ m n) 2))) (log (* K (/ (+ m n) 2))) (exp (* K (/ (+ m n) 2))) (* (* (* K K) K) (/ (* (* (+ m n) (+ m n)) (+ m n)) (* (* 2 2) 2))) (* (* (* K K) K) (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2))) (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))) (cbrt (* K (/ (+ m n) 2))) (* (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (* K (/ (+ m n) 2))) (sqrt (* K (/ (+ m n) 2))) (sqrt (* K (/ (+ m n) 2))) (* (sqrt K) (sqrt (/ (+ m n) 2))) (* (sqrt K) (sqrt (/ (+ m n) 2))) (* (sqrt K) (/ (sqrt (+ m n)) (sqrt 2))) (* (sqrt K) (/ (sqrt (+ m n)) (sqrt 2))) (* K (* (cbrt (/ (+ m n) 2)) (cbrt (/ (+ m n) 2)))) (* K (sqrt (/ (+ m n) 2))) (* K (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (* (cbrt 2) (cbrt 2)))) (* K (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (sqrt 2))) (* K (/ (* (cbrt (+ m n)) (cbrt (+ m n))) 1)) (* K (/ (sqrt (+ m n)) (* (cbrt 2) (cbrt 2)))) (* K (/ (sqrt (+ m n)) (sqrt 2))) (* K (/ (sqrt (+ m n)) 1)) (* K (/ 1 (* (cbrt 2) (cbrt 2)))) (* K (/ 1 (sqrt 2))) (* K (/ 1 1)) (* K (/ 1 (* (cbrt 2) (cbrt 2)))) (* K (/ 1 (sqrt 2))) (* K (/ 1 1)) (* K 1) (* K (+ m n)) (* (cbrt K) (/ (+ m n) 2)) (* (sqrt K) (/ (+ m n) 2)) (* K (/ (+ m n) 2)) (* K (+ m n)) (real->posit16 (* K (/ (+ m n) 2))) (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M))))) (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))) (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M)))) (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))) (fma K (/ (+ m n) 2) (- (* M 1))) (fma (- M) 1 (* M 1)) (expm1 (- (* K (/ (+ m n) 2)) M)) (log1p (- (* K (/ (+ m n) 2)) M)) (- M) (/ (exp (* K (/ (+ m n) 2))) (exp M)) (log (- (* K (/ (+ m n) 2)) M)) (exp (- (* K (/ (+ m n) 2)) M)) (* (cbrt (- (* K (/ (+ m n) 2)) M)) (cbrt (- (* K (/ (+ m n) 2)) M))) (cbrt (- (* K (/ (+ m n) 2)) M)) (* (* (- (* K (/ (+ m n) 2)) M) (- (* K (/ (+ m n) 2)) M)) (- (* K (/ (+ m n) 2)) M)) (sqrt (- (* K (/ (+ m n) 2)) M)) (sqrt (- (* K (/ (+ m n) 2)) M)) (- (pow (* K (/ (+ m n) 2)) 3) (pow M 3)) (+ (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (+ (* M M) (* (* K (/ (+ m n) 2)) M))) (- M) (- (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (* M M)) (+ (* K (/ (+ m n) 2)) M) (- M) (real->posit16 (- (* K (/ (+ m n) 2)) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* 1/2 (* m K)) (* 1/2 (* K n))) (+ (* 1/2 (* m K)) (* 1/2 (* K n))) (+ (* 1/2 (* m K)) (* 1/2 (* K n))) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.701 * * [simplify]: iteration 1: (162 enodes) 1.751 * * [simplify]: iteration 2: (352 enodes) 1.890 * * [simplify]: iteration 3: (929 enodes) 2.662 * * [simplify]: Extracting #0: cost 60 inf + 0 2.663 * * [simplify]: Extracting #1: cost 320 inf + 2 2.666 * * [simplify]: Extracting #2: cost 543 inf + 7678 2.689 * * [simplify]: Extracting #3: cost 264 inf + 81183 2.735 * * [simplify]: Extracting #4: cost 7 inf + 137507 2.767 * * [simplify]: Extracting #5: cost 0 inf + 139308 2.809 * [simplify]: Simplified to: (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- M M)) (cos (- (* (/ (+ m n) 2) K) M))) (* (sin (- (* (/ (+ m n) 2) K) M)) (sin (- M M))) (* (cos (- M M)) (cos (- (* (/ (+ m n) 2) K) M))) (* (sin (- (* (/ (+ m n) 2) K) M)) (sin (- M M))) (* (cos (- M M)) (cos (- (* (/ (+ m n) 2) K) M))) (* (sin (- (* (/ (+ m n) 2) K) M)) (sin (- M M))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (- (* (sin (* (/ (+ m n) 2) K)) (sin M))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (- (* (sin (* (/ (+ m n) 2) K)) (sin M))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (* (/ (+ m n) 2) K)) (log1p (* (/ (+ m n) 2) K)) (* (/ (+ m n) 2) K) (log (* (/ (+ m n) 2) K)) (log (* (/ (+ m n) 2) K)) (log (* (/ (+ m n) 2) K)) (sqrt (exp (* (+ m n) K))) (* (* (/ (+ m n) 2) K) (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K))) (* (* (/ (+ m n) 2) K) (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K))) (* (cbrt (* (/ (+ m n) 2) K)) (cbrt (* (/ (+ m n) 2) K))) (cbrt (* (/ (+ m n) 2) K)) (* (* (/ (+ m n) 2) K) (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K))) (sqrt (* (/ (+ m n) 2) K)) (sqrt (* (/ (+ m n) 2) K)) (* (sqrt (/ (+ m n) 2)) (sqrt K)) (* (sqrt (/ (+ m n) 2)) (sqrt K)) (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) (* (* (cbrt (/ (+ m n) 2)) (cbrt (/ (+ m n) 2))) K) (* K (sqrt (/ (+ m n) 2))) (* (/ (cbrt (+ m n)) (cbrt 2)) (* K (/ (cbrt (+ m n)) (cbrt 2)))) (/ (* K (cbrt (+ m n))) (/ (sqrt 2) (cbrt (+ m n)))) (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* (/ K (cbrt 2)) (/ (sqrt (+ m n)) (cbrt 2))) (* (/ (sqrt (+ m n)) (sqrt 2)) K) (* K (sqrt (+ m n))) (/ K (* (cbrt 2) (cbrt 2))) (/ K (sqrt 2)) K (/ K (* (cbrt 2) (cbrt 2))) (/ K (sqrt 2)) K K (* (+ m n) K) (* (/ (+ m n) 2) (cbrt K)) (* (/ (+ m n) 2) (sqrt K)) (* (/ (+ m n) 2) K) (* (+ m n) K) (real->posit16 (* (/ (+ m n) 2) K)) (- (* (/ (+ m n) 2) K) M) (- M M) (- (* (/ (+ m n) 2) K) M) (- M M) (- (* (/ (+ m n) 2) K) M) (- M M) (expm1 (- (* (/ (+ m n) 2) K) M)) (log1p (- (* (/ (+ m n) 2) K) M)) (- M) (exp (- (* (/ (+ m n) 2) K) M)) (log (- (* (/ (+ m n) 2) K) M)) (exp (- (* (/ (+ m n) 2) K) M)) (* (cbrt (- (* (/ (+ m n) 2) K) M)) (cbrt (- (* (/ (+ m n) 2) K) M))) (cbrt (- (* (/ (+ m n) 2) K) M)) (* (- (* (/ (+ m n) 2) K) M) (* (- (* (/ (+ m n) 2) K) M) (- (* (/ (+ m n) 2) K) M))) (sqrt (- (* (/ (+ m n) 2) K) M)) (sqrt (- (* (/ (+ m n) 2) K) M)) (- (* (* (/ (+ m n) 2) K) (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K))) (* (* M M) M)) (fma (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K) (* (fma K (/ (+ m n) 2) M) M)) (- M) (- (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K)) (* M M)) (fma K (/ (+ m n) 2) M) (- M) (real->posit16 (- (* (/ (+ m n) 2) K) M)) 1 (cos (- (* (* K 1/2) (+ m n)) M)) (cos (- (* (* K 1/2) (+ m n)) M)) (* (* K 1/2) (+ m n)) (* (* K 1/2) (+ m n)) (* (* K 1/2) (+ m n)) (- (* (* K 1/2) (+ m n)) M) (- (* (* K 1/2) (+ m n)) M) (- (* (* K 1/2) (+ m n)) M) 2.824 * * * [progress]: adding candidates to table 3.471 * * [progress]: iteration 2 / 4 3.471 * * * [progress]: picking best candidate 3.548 * * * * [pick]: Picked # 3.548 * * * [progress]: localizing error 3.574 * * * [progress]: generating rewritten candidates 3.574 * * * [progress]: generating series expansions 3.574 * * * [progress]: simplifying candidates 3.574 * [simplify]: Simplifying: 3.574 * * [simplify]: iteration 1: (0 enodes) 3.574 * * [simplify]: Extracting #0: cost 0 inf + 0 3.574 * [simplify]: Simplified to: 3.574 * * * [progress]: adding candidates to table 3.575 * * [progress]: iteration 3 / 4 3.575 * * * [progress]: picking best candidate 3.626 * * * * [pick]: Picked # 3.626 * * * [progress]: localizing error 3.711 * * * [progress]: generating rewritten candidates 3.712 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 3.773 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.847 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.858 * * * [progress]: generating series expansions 3.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 3.858 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 3.858 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 3.859 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 3.859 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 3.859 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 3.859 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 3.859 * [taylor]: Taking taylor expansion of 1/2 in M 3.859 * [backup-simplify]: Simplify 1/2 into 1/2 3.859 * [taylor]: Taking taylor expansion of (* K n) in M 3.859 * [taylor]: Taking taylor expansion of K in M 3.859 * [backup-simplify]: Simplify K into K 3.859 * [taylor]: Taking taylor expansion of n in M 3.859 * [backup-simplify]: Simplify n into n 3.859 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 3.859 * [taylor]: Taking taylor expansion of 1/2 in M 3.859 * [backup-simplify]: Simplify 1/2 into 1/2 3.859 * [taylor]: Taking taylor expansion of (* K m) in M 3.859 * [taylor]: Taking taylor expansion of K in M 3.859 * [backup-simplify]: Simplify K into K 3.859 * [taylor]: Taking taylor expansion of m in M 3.859 * [backup-simplify]: Simplify m into m 3.859 * [taylor]: Taking taylor expansion of M in M 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (* K n) into (* K n) 3.859 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 3.859 * [backup-simplify]: Simplify (* K m) into (* K m) 3.859 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 3.859 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 3.860 * [backup-simplify]: Simplify (- 0) into 0 3.861 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 3.861 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 3.861 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 3.861 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 3.861 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 3.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 3.861 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 3.861 * [taylor]: Taking taylor expansion of 1/2 in n 3.861 * [backup-simplify]: Simplify 1/2 into 1/2 3.861 * [taylor]: Taking taylor expansion of (* K n) in n 3.861 * [taylor]: Taking taylor expansion of K in n 3.861 * [backup-simplify]: Simplify K into K 3.861 * [taylor]: Taking taylor expansion of n in n 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 3.861 * [taylor]: Taking taylor expansion of 1/2 in n 3.861 * [backup-simplify]: Simplify 1/2 into 1/2 3.861 * [taylor]: Taking taylor expansion of (* K m) in n 3.861 * [taylor]: Taking taylor expansion of K in n 3.861 * [backup-simplify]: Simplify K into K 3.861 * [taylor]: Taking taylor expansion of m in n 3.861 * [backup-simplify]: Simplify m into m 3.861 * [taylor]: Taking taylor expansion of M in n 3.861 * [backup-simplify]: Simplify M into M 3.861 * [backup-simplify]: Simplify (* K 0) into 0 3.862 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.862 * [backup-simplify]: Simplify (* K m) into (* K m) 3.862 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 3.862 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 3.862 * [backup-simplify]: Simplify (- M) into (- M) 3.862 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 3.862 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 3.863 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 3.863 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 3.863 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 3.863 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 3.863 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 3.863 * [taylor]: Taking taylor expansion of 1/2 in m 3.863 * [backup-simplify]: Simplify 1/2 into 1/2 3.863 * [taylor]: Taking taylor expansion of (* K n) in m 3.863 * [taylor]: Taking taylor expansion of K in m 3.863 * [backup-simplify]: Simplify K into K 3.863 * [taylor]: Taking taylor expansion of n in m 3.863 * [backup-simplify]: Simplify n into n 3.863 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 3.863 * [taylor]: Taking taylor expansion of 1/2 in m 3.863 * [backup-simplify]: Simplify 1/2 into 1/2 3.863 * [taylor]: Taking taylor expansion of (* K m) in m 3.863 * [taylor]: Taking taylor expansion of K in m 3.863 * [backup-simplify]: Simplify K into K 3.863 * [taylor]: Taking taylor expansion of m in m 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [taylor]: Taking taylor expansion of M in m 3.863 * [backup-simplify]: Simplify M into M 3.863 * [backup-simplify]: Simplify (* K n) into (* K n) 3.863 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 3.863 * [backup-simplify]: Simplify (* K 0) into 0 3.863 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.863 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 3.864 * [backup-simplify]: Simplify (- M) into (- M) 3.864 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 3.864 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 3.864 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 3.864 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 3.864 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 3.864 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 3.864 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 3.864 * [taylor]: Taking taylor expansion of 1/2 in K 3.864 * [backup-simplify]: Simplify 1/2 into 1/2 3.864 * [taylor]: Taking taylor expansion of (* K n) in K 3.864 * [taylor]: Taking taylor expansion of K in K 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [taylor]: Taking taylor expansion of n in K 3.864 * [backup-simplify]: Simplify n into n 3.864 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 3.864 * [taylor]: Taking taylor expansion of 1/2 in K 3.864 * [backup-simplify]: Simplify 1/2 into 1/2 3.864 * [taylor]: Taking taylor expansion of (* K m) in K 3.864 * [taylor]: Taking taylor expansion of K in K 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [taylor]: Taking taylor expansion of m in K 3.864 * [backup-simplify]: Simplify m into m 3.864 * [taylor]: Taking taylor expansion of M in K 3.864 * [backup-simplify]: Simplify M into M 3.864 * [backup-simplify]: Simplify (* 0 n) into 0 3.864 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.864 * [backup-simplify]: Simplify (* 0 m) into 0 3.865 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.865 * [backup-simplify]: Simplify (+ 0 0) into 0 3.865 * [backup-simplify]: Simplify (- M) into (- M) 3.865 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 3.865 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.865 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.865 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 3.865 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 3.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 3.865 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 3.865 * [taylor]: Taking taylor expansion of 1/2 in K 3.865 * [backup-simplify]: Simplify 1/2 into 1/2 3.865 * [taylor]: Taking taylor expansion of (* K n) in K 3.865 * [taylor]: Taking taylor expansion of K in K 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [taylor]: Taking taylor expansion of n in K 3.865 * [backup-simplify]: Simplify n into n 3.865 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 3.865 * [taylor]: Taking taylor expansion of 1/2 in K 3.865 * [backup-simplify]: Simplify 1/2 into 1/2 3.865 * [taylor]: Taking taylor expansion of (* K m) in K 3.865 * [taylor]: Taking taylor expansion of K in K 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [taylor]: Taking taylor expansion of m in K 3.865 * [backup-simplify]: Simplify m into m 3.865 * [taylor]: Taking taylor expansion of M in K 3.865 * [backup-simplify]: Simplify M into M 3.865 * [backup-simplify]: Simplify (* 0 n) into 0 3.866 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.866 * [backup-simplify]: Simplify (* 0 m) into 0 3.866 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [backup-simplify]: Simplify (- M) into (- M) 3.866 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 3.866 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.867 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.867 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.867 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.867 * [backup-simplify]: Simplify (- 0) into 0 3.867 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.867 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.867 * [taylor]: Taking taylor expansion of (- M) in m 3.867 * [taylor]: Taking taylor expansion of M in m 3.867 * [backup-simplify]: Simplify M into M 3.867 * [backup-simplify]: Simplify (- M) into (- M) 3.867 * [backup-simplify]: Simplify (- M) into (- M) 3.867 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.867 * [backup-simplify]: Simplify (- M) into (- M) 3.867 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.867 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.867 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.868 * [taylor]: Taking taylor expansion of (cos (- M)) in n 3.868 * [taylor]: Taking taylor expansion of (- M) in n 3.868 * [taylor]: Taking taylor expansion of M in n 3.868 * [backup-simplify]: Simplify M into M 3.868 * [backup-simplify]: Simplify (- M) into (- M) 3.868 * [backup-simplify]: Simplify (- M) into (- M) 3.868 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.868 * [backup-simplify]: Simplify (- M) into (- M) 3.868 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.868 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.868 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.868 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.868 * [taylor]: Taking taylor expansion of (cos (- M)) in M 3.868 * [taylor]: Taking taylor expansion of (- M) in M 3.868 * [taylor]: Taking taylor expansion of M in M 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (- 0) into 0 3.869 * [backup-simplify]: Simplify (- 1) into -1 3.869 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (+ 0) into 0 3.869 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 3.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.870 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 3.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 3.870 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 3.870 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 3.871 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 3.871 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 3.871 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 3.872 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 3.872 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 3.872 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 3.872 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 3.872 * [taylor]: Taking taylor expansion of 1/2 in m 3.872 * [backup-simplify]: Simplify 1/2 into 1/2 3.872 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 3.872 * [taylor]: Taking taylor expansion of (sin (- M)) in m 3.872 * [taylor]: Taking taylor expansion of (- M) in m 3.872 * [taylor]: Taking taylor expansion of M in m 3.872 * [backup-simplify]: Simplify M into M 3.872 * [backup-simplify]: Simplify (- M) into (- M) 3.872 * [backup-simplify]: Simplify (- M) into (- M) 3.872 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.872 * [backup-simplify]: Simplify (- M) into (- M) 3.872 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.872 * [taylor]: Taking taylor expansion of n in m 3.872 * [backup-simplify]: Simplify n into n 3.872 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 3.872 * [taylor]: Taking taylor expansion of 1/2 in m 3.872 * [backup-simplify]: Simplify 1/2 into 1/2 3.872 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 3.872 * [taylor]: Taking taylor expansion of m in m 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [taylor]: Taking taylor expansion of (sin (- M)) in m 3.872 * [taylor]: Taking taylor expansion of (- M) in m 3.872 * [taylor]: Taking taylor expansion of M in m 3.872 * [backup-simplify]: Simplify M into M 3.872 * [backup-simplify]: Simplify (- M) into (- M) 3.872 * [backup-simplify]: Simplify (- M) into (- M) 3.872 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.872 * [backup-simplify]: Simplify (- M) into (- M) 3.872 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.872 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.872 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.872 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.872 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 3.872 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 3.873 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.873 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.873 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.873 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 3.873 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.873 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 3.873 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 3.873 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 3.873 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 3.873 * [taylor]: Taking taylor expansion of 1/2 in n 3.873 * [backup-simplify]: Simplify 1/2 into 1/2 3.873 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 3.873 * [taylor]: Taking taylor expansion of (sin (- M)) in n 3.873 * [taylor]: Taking taylor expansion of (- M) in n 3.873 * [taylor]: Taking taylor expansion of M in n 3.873 * [backup-simplify]: Simplify M into M 3.873 * [backup-simplify]: Simplify (- M) into (- M) 3.873 * [backup-simplify]: Simplify (- M) into (- M) 3.873 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.873 * [backup-simplify]: Simplify (- M) into (- M) 3.873 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.873 * [taylor]: Taking taylor expansion of n in n 3.873 * [backup-simplify]: Simplify 0 into 0 3.873 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.874 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.874 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.874 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.874 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.874 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [taylor]: Taking taylor expansion of 0 in M 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ 0) into 0 3.875 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 3.875 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.876 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 3.876 * [backup-simplify]: Simplify (- 0) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [taylor]: Taking taylor expansion of 0 in n 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [taylor]: Taking taylor expansion of 0 in M 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (+ 0) into 0 3.877 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 3.877 * [backup-simplify]: Simplify (- 0) into 0 3.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.878 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 3.878 * [backup-simplify]: Simplify (- 0) into 0 3.878 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [taylor]: Taking taylor expansion of 0 in M 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (+ 0) into 0 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 3.880 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 3.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 3.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.884 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 3.884 * [backup-simplify]: Simplify (- 0) into 0 3.884 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 3.884 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 3.884 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 3.884 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 3.884 * [taylor]: Taking taylor expansion of 1/8 in m 3.884 * [backup-simplify]: Simplify 1/8 into 1/8 3.884 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 3.884 * [taylor]: Taking taylor expansion of (pow m 2) in m 3.885 * [taylor]: Taking taylor expansion of m in m 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.885 * [taylor]: Taking taylor expansion of (- M) in m 3.885 * [taylor]: Taking taylor expansion of M in m 3.885 * [backup-simplify]: Simplify M into M 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.885 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 3.885 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 3.885 * [taylor]: Taking taylor expansion of 1/8 in m 3.885 * [backup-simplify]: Simplify 1/8 into 1/8 3.885 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 3.885 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.885 * [taylor]: Taking taylor expansion of (- M) in m 3.885 * [taylor]: Taking taylor expansion of M in m 3.885 * [backup-simplify]: Simplify M into M 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.885 * [taylor]: Taking taylor expansion of (pow n 2) in m 3.885 * [taylor]: Taking taylor expansion of n in m 3.885 * [backup-simplify]: Simplify n into n 3.885 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 3.885 * [taylor]: Taking taylor expansion of 1/4 in m 3.885 * [backup-simplify]: Simplify 1/4 into 1/4 3.885 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 3.885 * [taylor]: Taking taylor expansion of m in m 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.885 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 3.885 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.885 * [taylor]: Taking taylor expansion of (- M) in m 3.885 * [taylor]: Taking taylor expansion of M in m 3.885 * [backup-simplify]: Simplify M into M 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.885 * [backup-simplify]: Simplify (- M) into (- M) 3.885 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.885 * [taylor]: Taking taylor expansion of n in m 3.885 * [backup-simplify]: Simplify n into n 3.885 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.885 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.886 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.886 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.886 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 3.886 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 3.886 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.886 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.886 * [backup-simplify]: Simplify (- 0) into 0 3.886 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.886 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 3.887 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 3.887 * [backup-simplify]: Simplify (* 1/4 0) into 0 3.887 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 3.887 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 3.887 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 3.887 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 3.887 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 3.887 * [taylor]: Taking taylor expansion of 1/8 in n 3.887 * [backup-simplify]: Simplify 1/8 into 1/8 3.887 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 3.887 * [taylor]: Taking taylor expansion of (cos (- M)) in n 3.887 * [taylor]: Taking taylor expansion of (- M) in n 3.887 * [taylor]: Taking taylor expansion of M in n 3.887 * [backup-simplify]: Simplify M into M 3.887 * [backup-simplify]: Simplify (- M) into (- M) 3.887 * [backup-simplify]: Simplify (- M) into (- M) 3.887 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.887 * [backup-simplify]: Simplify (- M) into (- M) 3.887 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.887 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.887 * [taylor]: Taking taylor expansion of n in n 3.887 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (+ 0) into 0 3.888 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.889 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 3.890 * [backup-simplify]: Simplify (+ 0) into 0 3.890 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.891 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 3.892 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 3.892 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 3.892 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 3.892 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 3.892 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 3.892 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 3.892 * [taylor]: Taking taylor expansion of 1/2 in n 3.892 * [backup-simplify]: Simplify 1/2 into 1/2 3.892 * [taylor]: Taking taylor expansion of (sin (- M)) in n 3.892 * [taylor]: Taking taylor expansion of (- M) in n 3.892 * [taylor]: Taking taylor expansion of M in n 3.892 * [backup-simplify]: Simplify M into M 3.892 * [backup-simplify]: Simplify (- M) into (- M) 3.893 * [backup-simplify]: Simplify (- M) into (- M) 3.893 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.893 * [backup-simplify]: Simplify (- M) into (- M) 3.893 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.893 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.893 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.893 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.893 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 3.893 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 3.893 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 3.893 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 3.893 * [taylor]: Taking taylor expansion of 1/2 in M 3.893 * [backup-simplify]: Simplify 1/2 into 1/2 3.893 * [taylor]: Taking taylor expansion of (sin (- M)) in M 3.893 * [taylor]: Taking taylor expansion of (- M) in M 3.893 * [taylor]: Taking taylor expansion of M in M 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (- 0) into 0 3.893 * [backup-simplify]: Simplify (- 1) into -1 3.894 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.894 * [backup-simplify]: Simplify (- 0) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (- 0) into 0 3.895 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.896 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 3.896 * [backup-simplify]: Simplify (- 0) into 0 3.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.898 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 3.898 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [taylor]: Taking taylor expansion of 0 in n 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [taylor]: Taking taylor expansion of 0 in M 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 3.899 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 3.899 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 3.899 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 3.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.899 * [taylor]: Taking taylor expansion of 1/2 in M 3.899 * [backup-simplify]: Simplify 1/2 into 1/2 3.899 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.899 * [taylor]: Taking taylor expansion of (* m K) in M 3.899 * [taylor]: Taking taylor expansion of m in M 3.899 * [backup-simplify]: Simplify m into m 3.899 * [taylor]: Taking taylor expansion of K in M 3.900 * [backup-simplify]: Simplify K into K 3.900 * [backup-simplify]: Simplify (* m K) into (* m K) 3.900 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.900 * [taylor]: Taking taylor expansion of 1/2 in M 3.900 * [backup-simplify]: Simplify 1/2 into 1/2 3.900 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.900 * [taylor]: Taking taylor expansion of (* K n) in M 3.900 * [taylor]: Taking taylor expansion of K in M 3.900 * [backup-simplify]: Simplify K into K 3.900 * [taylor]: Taking taylor expansion of n in M 3.900 * [backup-simplify]: Simplify n into n 3.900 * [backup-simplify]: Simplify (* K n) into (* K n) 3.900 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.900 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.900 * [taylor]: Taking taylor expansion of M in M 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [backup-simplify]: Simplify (- 1) into -1 3.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.902 * [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))) 3.902 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 3.903 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 3.903 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 3.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 3.903 * [taylor]: Taking taylor expansion of 1/2 in n 3.903 * [backup-simplify]: Simplify 1/2 into 1/2 3.903 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 3.903 * [taylor]: Taking taylor expansion of (* m K) in n 3.903 * [taylor]: Taking taylor expansion of m in n 3.903 * [backup-simplify]: Simplify m into m 3.903 * [taylor]: Taking taylor expansion of K in n 3.903 * [backup-simplify]: Simplify K into K 3.903 * [backup-simplify]: Simplify (* m K) into (* m K) 3.903 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 3.903 * [taylor]: Taking taylor expansion of 1/2 in n 3.903 * [backup-simplify]: Simplify 1/2 into 1/2 3.903 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 3.903 * [taylor]: Taking taylor expansion of (* K n) in n 3.903 * [taylor]: Taking taylor expansion of K in n 3.903 * [backup-simplify]: Simplify K into K 3.903 * [taylor]: Taking taylor expansion of n in n 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (* K 0) into 0 3.904 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 3.904 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.904 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.904 * [taylor]: Taking taylor expansion of M in n 3.904 * [backup-simplify]: Simplify M into M 3.904 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.904 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.904 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 3.904 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.905 * [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))) 3.905 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 3.905 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 3.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 3.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 3.905 * [taylor]: Taking taylor expansion of 1/2 in m 3.905 * [backup-simplify]: Simplify 1/2 into 1/2 3.905 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 3.905 * [taylor]: Taking taylor expansion of (* m K) in m 3.905 * [taylor]: Taking taylor expansion of m in m 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of K in m 3.905 * [backup-simplify]: Simplify K into K 3.905 * [backup-simplify]: Simplify (* 0 K) into 0 3.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 3.906 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 3.906 * [taylor]: Taking taylor expansion of 1/2 in m 3.906 * [backup-simplify]: Simplify 1/2 into 1/2 3.906 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 3.906 * [taylor]: Taking taylor expansion of (* K n) in m 3.906 * [taylor]: Taking taylor expansion of K in m 3.906 * [backup-simplify]: Simplify K into K 3.906 * [taylor]: Taking taylor expansion of n in m 3.906 * [backup-simplify]: Simplify n into n 3.906 * [backup-simplify]: Simplify (* K n) into (* K n) 3.906 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.906 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.906 * [taylor]: Taking taylor expansion of M in m 3.906 * [backup-simplify]: Simplify M into M 3.906 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.906 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.906 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 3.907 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.907 * [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))) 3.907 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 3.907 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 3.907 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 3.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 3.907 * [taylor]: Taking taylor expansion of 1/2 in K 3.907 * [backup-simplify]: Simplify 1/2 into 1/2 3.907 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 3.907 * [taylor]: Taking taylor expansion of (* m K) in K 3.907 * [taylor]: Taking taylor expansion of m in K 3.907 * [backup-simplify]: Simplify m into m 3.907 * [taylor]: Taking taylor expansion of K in K 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (* m 0) into 0 3.907 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 3.907 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 3.907 * [taylor]: Taking taylor expansion of 1/2 in K 3.907 * [backup-simplify]: Simplify 1/2 into 1/2 3.907 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 3.907 * [taylor]: Taking taylor expansion of (* K n) in K 3.907 * [taylor]: Taking taylor expansion of K in K 3.907 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 1 into 1 3.908 * [taylor]: Taking taylor expansion of n in K 3.908 * [backup-simplify]: Simplify n into n 3.908 * [backup-simplify]: Simplify (* 0 n) into 0 3.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.908 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.908 * [taylor]: Taking taylor expansion of (/ 1 M) in K 3.908 * [taylor]: Taking taylor expansion of M in K 3.908 * [backup-simplify]: Simplify M into M 3.908 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 3.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.908 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.908 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.908 * [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))) 3.908 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 3.908 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 3.908 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 3.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 3.908 * [taylor]: Taking taylor expansion of 1/2 in K 3.909 * [backup-simplify]: Simplify 1/2 into 1/2 3.909 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 3.909 * [taylor]: Taking taylor expansion of (* m K) in K 3.909 * [taylor]: Taking taylor expansion of m in K 3.909 * [backup-simplify]: Simplify m into m 3.909 * [taylor]: Taking taylor expansion of K in K 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (* m 0) into 0 3.909 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 3.909 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 3.909 * [taylor]: Taking taylor expansion of 1/2 in K 3.909 * [backup-simplify]: Simplify 1/2 into 1/2 3.909 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 3.909 * [taylor]: Taking taylor expansion of (* K n) in K 3.909 * [taylor]: Taking taylor expansion of K in K 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [taylor]: Taking taylor expansion of n in K 3.909 * [backup-simplify]: Simplify n into n 3.909 * [backup-simplify]: Simplify (* 0 n) into 0 3.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.909 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.909 * [taylor]: Taking taylor expansion of (/ 1 M) in K 3.909 * [taylor]: Taking taylor expansion of M in K 3.909 * [backup-simplify]: Simplify M into M 3.910 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.910 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 3.910 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.910 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.910 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.910 * [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))) 3.910 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 3.910 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 3.910 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 3.910 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 3.910 * [taylor]: Taking taylor expansion of 1/2 in m 3.910 * [backup-simplify]: Simplify 1/2 into 1/2 3.910 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 3.910 * [taylor]: Taking taylor expansion of (* m K) in m 3.910 * [taylor]: Taking taylor expansion of m in m 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [taylor]: Taking taylor expansion of K in m 3.910 * [backup-simplify]: Simplify K into K 3.910 * [backup-simplify]: Simplify (* 0 K) into 0 3.911 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 3.911 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 3.911 * [taylor]: Taking taylor expansion of 1/2 in m 3.911 * [backup-simplify]: Simplify 1/2 into 1/2 3.911 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 3.911 * [taylor]: Taking taylor expansion of (* K n) in m 3.911 * [taylor]: Taking taylor expansion of K in m 3.911 * [backup-simplify]: Simplify K into K 3.911 * [taylor]: Taking taylor expansion of n in m 3.911 * [backup-simplify]: Simplify n into n 3.911 * [backup-simplify]: Simplify (* K n) into (* K n) 3.911 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.911 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.911 * [taylor]: Taking taylor expansion of M in m 3.911 * [backup-simplify]: Simplify M into M 3.911 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.911 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.911 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 3.911 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.911 * [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))) 3.911 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 3.911 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 3.911 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 3.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 3.911 * [taylor]: Taking taylor expansion of 1/2 in n 3.911 * [backup-simplify]: Simplify 1/2 into 1/2 3.911 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 3.911 * [taylor]: Taking taylor expansion of (* m K) in n 3.911 * [taylor]: Taking taylor expansion of m in n 3.911 * [backup-simplify]: Simplify m into m 3.911 * [taylor]: Taking taylor expansion of K in n 3.911 * [backup-simplify]: Simplify K into K 3.911 * [backup-simplify]: Simplify (* m K) into (* m K) 3.911 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 3.911 * [taylor]: Taking taylor expansion of 1/2 in n 3.911 * [backup-simplify]: Simplify 1/2 into 1/2 3.912 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 3.912 * [taylor]: Taking taylor expansion of (* K n) in n 3.912 * [taylor]: Taking taylor expansion of K in n 3.912 * [backup-simplify]: Simplify K into K 3.912 * [taylor]: Taking taylor expansion of n in n 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (* K 0) into 0 3.912 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 3.912 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.912 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.912 * [taylor]: Taking taylor expansion of M in n 3.912 * [backup-simplify]: Simplify M into M 3.912 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.912 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.912 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 3.912 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.912 * [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))) 3.912 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 3.912 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 3.912 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.912 * [taylor]: Taking taylor expansion of 1/2 in M 3.912 * [backup-simplify]: Simplify 1/2 into 1/2 3.912 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.912 * [taylor]: Taking taylor expansion of (* m K) in M 3.913 * [taylor]: Taking taylor expansion of m in M 3.913 * [backup-simplify]: Simplify m into m 3.913 * [taylor]: Taking taylor expansion of K in M 3.913 * [backup-simplify]: Simplify K into K 3.913 * [backup-simplify]: Simplify (* m K) into (* m K) 3.913 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.913 * [taylor]: Taking taylor expansion of 1/2 in M 3.913 * [backup-simplify]: Simplify 1/2 into 1/2 3.913 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.913 * [taylor]: Taking taylor expansion of (* K n) in M 3.913 * [taylor]: Taking taylor expansion of K in M 3.913 * [backup-simplify]: Simplify K into K 3.913 * [taylor]: Taking taylor expansion of n in M 3.913 * [backup-simplify]: Simplify n into n 3.913 * [backup-simplify]: Simplify (* K n) into (* K n) 3.913 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.913 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.913 * [taylor]: Taking taylor expansion of M in M 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (/ 1 1) into 1 3.913 * [backup-simplify]: Simplify (- 1) into -1 3.914 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.914 * [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))) 3.914 * [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))) 3.914 * [taylor]: Taking taylor expansion of 0 in m 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in n 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in M 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in n 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in M 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in M 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in m 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in n 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in M 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [taylor]: Taking taylor expansion of 0 in n 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [taylor]: Taking taylor expansion of 0 in M 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [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)) 3.915 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 3.915 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 3.915 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 3.915 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 3.915 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.915 * [taylor]: Taking taylor expansion of M in M 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (/ 1 1) into 1 3.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.915 * [taylor]: Taking taylor expansion of 1/2 in M 3.915 * [backup-simplify]: Simplify 1/2 into 1/2 3.915 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.916 * [taylor]: Taking taylor expansion of (* m K) in M 3.916 * [taylor]: Taking taylor expansion of m in M 3.916 * [backup-simplify]: Simplify m into m 3.916 * [taylor]: Taking taylor expansion of K in M 3.916 * [backup-simplify]: Simplify K into K 3.916 * [backup-simplify]: Simplify (* m K) into (* m K) 3.916 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.916 * [taylor]: Taking taylor expansion of 1/2 in M 3.916 * [backup-simplify]: Simplify 1/2 into 1/2 3.916 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.916 * [taylor]: Taking taylor expansion of (* K n) in M 3.916 * [taylor]: Taking taylor expansion of K in M 3.916 * [backup-simplify]: Simplify K into K 3.916 * [taylor]: Taking taylor expansion of n in M 3.916 * [backup-simplify]: Simplify n into n 3.916 * [backup-simplify]: Simplify (* K n) into (* K n) 3.916 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.916 * [backup-simplify]: Simplify (+ 1 0) into 1 3.916 * [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)))))) 3.916 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 3.916 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.916 * [taylor]: Taking taylor expansion of M in n 3.916 * [backup-simplify]: Simplify M into M 3.916 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 3.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 3.916 * [taylor]: Taking taylor expansion of 1/2 in n 3.916 * [backup-simplify]: Simplify 1/2 into 1/2 3.917 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 3.917 * [taylor]: Taking taylor expansion of (* m K) in n 3.917 * [taylor]: Taking taylor expansion of m in n 3.917 * [backup-simplify]: Simplify m into m 3.917 * [taylor]: Taking taylor expansion of K in n 3.917 * [backup-simplify]: Simplify K into K 3.917 * [backup-simplify]: Simplify (* m K) into (* m K) 3.917 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 3.917 * [taylor]: Taking taylor expansion of 1/2 in n 3.917 * [backup-simplify]: Simplify 1/2 into 1/2 3.917 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 3.917 * [taylor]: Taking taylor expansion of (* K n) in n 3.917 * [taylor]: Taking taylor expansion of K in n 3.917 * [backup-simplify]: Simplify K into K 3.917 * [taylor]: Taking taylor expansion of n in n 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* K 0) into 0 3.917 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 3.917 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.917 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.917 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 3.917 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 3.917 * [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)))))) 3.917 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 3.918 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.918 * [taylor]: Taking taylor expansion of M in m 3.918 * [backup-simplify]: Simplify M into M 3.918 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.918 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 3.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 3.918 * [taylor]: Taking taylor expansion of 1/2 in m 3.918 * [backup-simplify]: Simplify 1/2 into 1/2 3.918 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 3.918 * [taylor]: Taking taylor expansion of (* m K) in m 3.918 * [taylor]: Taking taylor expansion of m in m 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [taylor]: Taking taylor expansion of K in m 3.918 * [backup-simplify]: Simplify K into K 3.918 * [backup-simplify]: Simplify (* 0 K) into 0 3.918 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 3.918 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 3.918 * [taylor]: Taking taylor expansion of 1/2 in m 3.918 * [backup-simplify]: Simplify 1/2 into 1/2 3.918 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 3.918 * [taylor]: Taking taylor expansion of (* K n) in m 3.918 * [taylor]: Taking taylor expansion of K in m 3.918 * [backup-simplify]: Simplify K into K 3.918 * [taylor]: Taking taylor expansion of n in m 3.918 * [backup-simplify]: Simplify n into n 3.918 * [backup-simplify]: Simplify (* K n) into (* K n) 3.918 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.918 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.918 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 3.918 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 3.919 * [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)))))) 3.919 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 3.919 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 3.919 * [taylor]: Taking taylor expansion of (/ 1 M) in K 3.919 * [taylor]: Taking taylor expansion of M in K 3.919 * [backup-simplify]: Simplify M into M 3.919 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.919 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 3.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 3.919 * [taylor]: Taking taylor expansion of 1/2 in K 3.919 * [backup-simplify]: Simplify 1/2 into 1/2 3.919 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 3.919 * [taylor]: Taking taylor expansion of (* m K) in K 3.919 * [taylor]: Taking taylor expansion of m in K 3.919 * [backup-simplify]: Simplify m into m 3.919 * [taylor]: Taking taylor expansion of K in K 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (* m 0) into 0 3.919 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 3.919 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 3.919 * [taylor]: Taking taylor expansion of 1/2 in K 3.919 * [backup-simplify]: Simplify 1/2 into 1/2 3.919 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 3.919 * [taylor]: Taking taylor expansion of (* K n) in K 3.919 * [taylor]: Taking taylor expansion of K in K 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [taylor]: Taking taylor expansion of n in K 3.919 * [backup-simplify]: Simplify n into n 3.919 * [backup-simplify]: Simplify (* 0 n) into 0 3.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.920 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.920 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 3.920 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.920 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.920 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.920 * [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)))))) 3.920 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 3.920 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 3.920 * [taylor]: Taking taylor expansion of (/ 1 M) in K 3.920 * [taylor]: Taking taylor expansion of M in K 3.920 * [backup-simplify]: Simplify M into M 3.920 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 3.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 3.920 * [taylor]: Taking taylor expansion of 1/2 in K 3.920 * [backup-simplify]: Simplify 1/2 into 1/2 3.920 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 3.920 * [taylor]: Taking taylor expansion of (* m K) in K 3.920 * [taylor]: Taking taylor expansion of m in K 3.920 * [backup-simplify]: Simplify m into m 3.920 * [taylor]: Taking taylor expansion of K in K 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (* m 0) into 0 3.921 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 3.921 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 3.921 * [taylor]: Taking taylor expansion of 1/2 in K 3.921 * [backup-simplify]: Simplify 1/2 into 1/2 3.921 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 3.921 * [taylor]: Taking taylor expansion of (* K n) in K 3.921 * [taylor]: Taking taylor expansion of K in K 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [taylor]: Taking taylor expansion of n in K 3.921 * [backup-simplify]: Simplify n into n 3.921 * [backup-simplify]: Simplify (* 0 n) into 0 3.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.921 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.921 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 3.921 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.921 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.922 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.922 * [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)))))) 3.922 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 3.922 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.922 * [taylor]: Taking taylor expansion of M in m 3.922 * [backup-simplify]: Simplify M into M 3.922 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.922 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 3.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 3.922 * [taylor]: Taking taylor expansion of 1/2 in m 3.922 * [backup-simplify]: Simplify 1/2 into 1/2 3.922 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 3.922 * [taylor]: Taking taylor expansion of (* m K) in m 3.922 * [taylor]: Taking taylor expansion of m in m 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of K in m 3.922 * [backup-simplify]: Simplify K into K 3.922 * [backup-simplify]: Simplify (* 0 K) into 0 3.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 3.922 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 3.922 * [taylor]: Taking taylor expansion of 1/2 in m 3.922 * [backup-simplify]: Simplify 1/2 into 1/2 3.923 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 3.923 * [taylor]: Taking taylor expansion of (* K n) in m 3.923 * [taylor]: Taking taylor expansion of K in m 3.923 * [backup-simplify]: Simplify K into K 3.923 * [taylor]: Taking taylor expansion of n in m 3.923 * [backup-simplify]: Simplify n into n 3.923 * [backup-simplify]: Simplify (* K n) into (* K n) 3.923 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.923 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.923 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 3.923 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 3.923 * [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)))))) 3.923 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 3.923 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.923 * [taylor]: Taking taylor expansion of M in n 3.923 * [backup-simplify]: Simplify M into M 3.923 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.923 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 3.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 3.923 * [taylor]: Taking taylor expansion of 1/2 in n 3.923 * [backup-simplify]: Simplify 1/2 into 1/2 3.923 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 3.923 * [taylor]: Taking taylor expansion of (* m K) in n 3.923 * [taylor]: Taking taylor expansion of m in n 3.923 * [backup-simplify]: Simplify m into m 3.923 * [taylor]: Taking taylor expansion of K in n 3.923 * [backup-simplify]: Simplify K into K 3.923 * [backup-simplify]: Simplify (* m K) into (* m K) 3.923 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 3.923 * [taylor]: Taking taylor expansion of 1/2 in n 3.923 * [backup-simplify]: Simplify 1/2 into 1/2 3.923 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 3.923 * [taylor]: Taking taylor expansion of (* K n) in n 3.923 * [taylor]: Taking taylor expansion of K in n 3.923 * [backup-simplify]: Simplify K into K 3.923 * [taylor]: Taking taylor expansion of n in n 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (* K 0) into 0 3.924 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 3.924 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.924 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.924 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 3.924 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 3.924 * [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)))))) 3.924 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 3.924 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 3.924 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.924 * [taylor]: Taking taylor expansion of M in M 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (/ 1 1) into 1 3.925 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.925 * [taylor]: Taking taylor expansion of 1/2 in M 3.925 * [backup-simplify]: Simplify 1/2 into 1/2 3.925 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.925 * [taylor]: Taking taylor expansion of (* m K) in M 3.925 * [taylor]: Taking taylor expansion of m in M 3.925 * [backup-simplify]: Simplify m into m 3.925 * [taylor]: Taking taylor expansion of K in M 3.925 * [backup-simplify]: Simplify K into K 3.925 * [backup-simplify]: Simplify (* m K) into (* m K) 3.925 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.925 * [taylor]: Taking taylor expansion of 1/2 in M 3.925 * [backup-simplify]: Simplify 1/2 into 1/2 3.925 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.925 * [taylor]: Taking taylor expansion of (* K n) in M 3.925 * [taylor]: Taking taylor expansion of K in M 3.925 * [backup-simplify]: Simplify K into K 3.925 * [taylor]: Taking taylor expansion of n in M 3.925 * [backup-simplify]: Simplify n into n 3.925 * [backup-simplify]: Simplify (* K n) into (* K n) 3.925 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.925 * [backup-simplify]: Simplify (+ 1 0) into 1 3.925 * [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)))))) 3.926 * [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)))))) 3.926 * [taylor]: Taking taylor expansion of 0 in m 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in n 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in M 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in n 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in M 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in M 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in m 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in n 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in M 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in n 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [taylor]: Taking taylor expansion of 0 in M 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [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)) 3.926 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.927 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 3.927 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 3.927 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 3.927 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 3.927 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 3.927 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 3.927 * [taylor]: Taking taylor expansion of 1/2 in M 3.927 * [backup-simplify]: Simplify 1/2 into 1/2 3.927 * [taylor]: Taking taylor expansion of (* K n) in M 3.927 * [taylor]: Taking taylor expansion of K in M 3.927 * [backup-simplify]: Simplify K into K 3.927 * [taylor]: Taking taylor expansion of n in M 3.927 * [backup-simplify]: Simplify n into n 3.927 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 3.927 * [taylor]: Taking taylor expansion of 1/2 in M 3.927 * [backup-simplify]: Simplify 1/2 into 1/2 3.927 * [taylor]: Taking taylor expansion of (* K m) in M 3.927 * [taylor]: Taking taylor expansion of K in M 3.927 * [backup-simplify]: Simplify K into K 3.927 * [taylor]: Taking taylor expansion of m in M 3.927 * [backup-simplify]: Simplify m into m 3.927 * [taylor]: Taking taylor expansion of M in M 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify (* K n) into (* K n) 3.927 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 3.927 * [backup-simplify]: Simplify (* K m) into (* K m) 3.927 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 3.927 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 3.928 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 3.928 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 3.928 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 3.928 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 3.928 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 3.928 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 3.928 * [taylor]: Taking taylor expansion of 1/2 in n 3.928 * [backup-simplify]: Simplify 1/2 into 1/2 3.928 * [taylor]: Taking taylor expansion of (* K n) in n 3.928 * [taylor]: Taking taylor expansion of K in n 3.928 * [backup-simplify]: Simplify K into K 3.928 * [taylor]: Taking taylor expansion of n in n 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 3.928 * [taylor]: Taking taylor expansion of 1/2 in n 3.928 * [backup-simplify]: Simplify 1/2 into 1/2 3.928 * [taylor]: Taking taylor expansion of (* K m) in n 3.928 * [taylor]: Taking taylor expansion of K in n 3.928 * [backup-simplify]: Simplify K into K 3.928 * [taylor]: Taking taylor expansion of m in n 3.928 * [backup-simplify]: Simplify m into m 3.928 * [taylor]: Taking taylor expansion of M in n 3.928 * [backup-simplify]: Simplify M into M 3.928 * [backup-simplify]: Simplify (* K 0) into 0 3.930 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.930 * [backup-simplify]: Simplify (* K m) into (* K m) 3.930 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 3.930 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 3.930 * [backup-simplify]: Simplify (- M) into (- M) 3.930 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 3.930 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 3.930 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 3.930 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 3.930 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 3.930 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 3.930 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 3.930 * [taylor]: Taking taylor expansion of 1/2 in m 3.930 * [backup-simplify]: Simplify 1/2 into 1/2 3.930 * [taylor]: Taking taylor expansion of (* K n) in m 3.930 * [taylor]: Taking taylor expansion of K in m 3.930 * [backup-simplify]: Simplify K into K 3.930 * [taylor]: Taking taylor expansion of n in m 3.930 * [backup-simplify]: Simplify n into n 3.930 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 3.930 * [taylor]: Taking taylor expansion of 1/2 in m 3.931 * [backup-simplify]: Simplify 1/2 into 1/2 3.931 * [taylor]: Taking taylor expansion of (* K m) in m 3.931 * [taylor]: Taking taylor expansion of K in m 3.931 * [backup-simplify]: Simplify K into K 3.931 * [taylor]: Taking taylor expansion of m in m 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [taylor]: Taking taylor expansion of M in m 3.931 * [backup-simplify]: Simplify M into M 3.931 * [backup-simplify]: Simplify (* K n) into (* K n) 3.931 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 3.931 * [backup-simplify]: Simplify (* K 0) into 0 3.931 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 3.931 * [backup-simplify]: Simplify (- M) into (- M) 3.931 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 3.931 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 3.931 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 3.931 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 3.931 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 3.931 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 3.932 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 3.932 * [taylor]: Taking taylor expansion of 1/2 in K 3.932 * [backup-simplify]: Simplify 1/2 into 1/2 3.932 * [taylor]: Taking taylor expansion of (* K n) in K 3.932 * [taylor]: Taking taylor expansion of K in K 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [taylor]: Taking taylor expansion of n in K 3.932 * [backup-simplify]: Simplify n into n 3.932 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 3.932 * [taylor]: Taking taylor expansion of 1/2 in K 3.932 * [backup-simplify]: Simplify 1/2 into 1/2 3.932 * [taylor]: Taking taylor expansion of (* K m) in K 3.932 * [taylor]: Taking taylor expansion of K in K 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [taylor]: Taking taylor expansion of m in K 3.932 * [backup-simplify]: Simplify m into m 3.932 * [taylor]: Taking taylor expansion of M in K 3.932 * [backup-simplify]: Simplify M into M 3.932 * [backup-simplify]: Simplify (* 0 n) into 0 3.932 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.932 * [backup-simplify]: Simplify (* 0 m) into 0 3.932 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.933 * [backup-simplify]: Simplify (+ 0 0) into 0 3.933 * [backup-simplify]: Simplify (- M) into (- M) 3.933 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 3.933 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.933 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.933 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 3.933 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 3.933 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 3.933 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 3.933 * [taylor]: Taking taylor expansion of 1/2 in K 3.933 * [backup-simplify]: Simplify 1/2 into 1/2 3.933 * [taylor]: Taking taylor expansion of (* K n) in K 3.933 * [taylor]: Taking taylor expansion of K in K 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [taylor]: Taking taylor expansion of n in K 3.933 * [backup-simplify]: Simplify n into n 3.933 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 3.933 * [taylor]: Taking taylor expansion of 1/2 in K 3.933 * [backup-simplify]: Simplify 1/2 into 1/2 3.933 * [taylor]: Taking taylor expansion of (* K m) in K 3.933 * [taylor]: Taking taylor expansion of K in K 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [taylor]: Taking taylor expansion of m in K 3.933 * [backup-simplify]: Simplify m into m 3.933 * [taylor]: Taking taylor expansion of M in K 3.933 * [backup-simplify]: Simplify M into M 3.933 * [backup-simplify]: Simplify (* 0 n) into 0 3.933 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.933 * [backup-simplify]: Simplify (* 0 m) into 0 3.934 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.934 * [backup-simplify]: Simplify (- M) into (- M) 3.934 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 3.934 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.934 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.934 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.934 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.935 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.935 * [taylor]: Taking taylor expansion of (- M) in m 3.935 * [taylor]: Taking taylor expansion of M in m 3.935 * [backup-simplify]: Simplify M into M 3.935 * [backup-simplify]: Simplify (- M) into (- M) 3.935 * [backup-simplify]: Simplify (- M) into (- M) 3.935 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.935 * [backup-simplify]: Simplify (- M) into (- M) 3.935 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.935 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.935 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.935 * [taylor]: Taking taylor expansion of (cos (- M)) in n 3.935 * [taylor]: Taking taylor expansion of (- M) in n 3.935 * [taylor]: Taking taylor expansion of M in n 3.935 * [backup-simplify]: Simplify M into M 3.935 * [backup-simplify]: Simplify (- M) into (- M) 3.935 * [backup-simplify]: Simplify (- M) into (- M) 3.935 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.935 * [backup-simplify]: Simplify (- M) into (- M) 3.935 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.935 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.935 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.936 * [taylor]: Taking taylor expansion of (cos (- M)) in M 3.936 * [taylor]: Taking taylor expansion of (- M) in M 3.936 * [taylor]: Taking taylor expansion of M in M 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (- 1) into -1 3.936 * [backup-simplify]: Simplify 1 into 1 3.937 * [backup-simplify]: Simplify (+ 0) into 0 3.937 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.937 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 3.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 3.938 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 3.938 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 3.938 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 3.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 3.939 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 3.939 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 3.940 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 3.940 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 3.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 3.940 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 3.940 * [taylor]: Taking taylor expansion of 1/2 in m 3.940 * [backup-simplify]: Simplify 1/2 into 1/2 3.940 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 3.940 * [taylor]: Taking taylor expansion of (sin (- M)) in m 3.940 * [taylor]: Taking taylor expansion of (- M) in m 3.940 * [taylor]: Taking taylor expansion of M in m 3.940 * [backup-simplify]: Simplify M into M 3.940 * [backup-simplify]: Simplify (- M) into (- M) 3.940 * [backup-simplify]: Simplify (- M) into (- M) 3.940 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.940 * [backup-simplify]: Simplify (- M) into (- M) 3.940 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.940 * [taylor]: Taking taylor expansion of n in m 3.940 * [backup-simplify]: Simplify n into n 3.940 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 3.940 * [taylor]: Taking taylor expansion of 1/2 in m 3.940 * [backup-simplify]: Simplify 1/2 into 1/2 3.940 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 3.940 * [taylor]: Taking taylor expansion of m in m 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.940 * [taylor]: Taking taylor expansion of (sin (- M)) in m 3.940 * [taylor]: Taking taylor expansion of (- M) in m 3.941 * [taylor]: Taking taylor expansion of M in m 3.941 * [backup-simplify]: Simplify M into M 3.941 * [backup-simplify]: Simplify (- M) into (- M) 3.941 * [backup-simplify]: Simplify (- M) into (- M) 3.941 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.941 * [backup-simplify]: Simplify (- M) into (- M) 3.941 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.941 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.941 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.941 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.941 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 3.941 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 3.941 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.941 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.941 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.942 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 3.942 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 3.942 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 3.942 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 3.942 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 3.943 * [taylor]: Taking taylor expansion of 1/2 in n 3.943 * [backup-simplify]: Simplify 1/2 into 1/2 3.943 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 3.943 * [taylor]: Taking taylor expansion of (sin (- M)) in n 3.943 * [taylor]: Taking taylor expansion of (- M) in n 3.943 * [taylor]: Taking taylor expansion of M in n 3.943 * [backup-simplify]: Simplify M into M 3.943 * [backup-simplify]: Simplify (- M) into (- M) 3.943 * [backup-simplify]: Simplify (- M) into (- M) 3.943 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.943 * [backup-simplify]: Simplify (- M) into (- M) 3.943 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.943 * [taylor]: Taking taylor expansion of n in n 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.943 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.943 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.943 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.944 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [taylor]: Taking taylor expansion of 0 in M 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (+ 0) into 0 3.946 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 3.946 * [backup-simplify]: Simplify (- 0) into 0 3.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.947 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 3.948 * [backup-simplify]: Simplify (- 0) into 0 3.948 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [taylor]: Taking taylor expansion of 0 in n 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [taylor]: Taking taylor expansion of 0 in M 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify (+ 0) into 0 3.950 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.951 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 3.952 * [backup-simplify]: Simplify (- 0) into 0 3.952 * [backup-simplify]: Simplify (+ 0 0) into 0 3.952 * [taylor]: Taking taylor expansion of 0 in M 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ 0) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 3.955 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 3.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 3.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 3.958 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify (- 0) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.960 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 3.961 * [backup-simplify]: Simplify (- 0) into 0 3.962 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 3.962 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 3.962 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 3.962 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 3.962 * [taylor]: Taking taylor expansion of 1/8 in m 3.962 * [backup-simplify]: Simplify 1/8 into 1/8 3.962 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 3.962 * [taylor]: Taking taylor expansion of (pow m 2) in m 3.962 * [taylor]: Taking taylor expansion of m in m 3.962 * [backup-simplify]: Simplify 0 into 0 3.962 * [backup-simplify]: Simplify 1 into 1 3.962 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.962 * [taylor]: Taking taylor expansion of (- M) in m 3.962 * [taylor]: Taking taylor expansion of M in m 3.962 * [backup-simplify]: Simplify M into M 3.962 * [backup-simplify]: Simplify (- M) into (- M) 3.962 * [backup-simplify]: Simplify (- M) into (- M) 3.962 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.962 * [backup-simplify]: Simplify (- M) into (- M) 3.962 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.962 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 3.962 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 3.962 * [taylor]: Taking taylor expansion of 1/8 in m 3.962 * [backup-simplify]: Simplify 1/8 into 1/8 3.962 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 3.962 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.962 * [taylor]: Taking taylor expansion of (- M) in m 3.962 * [taylor]: Taking taylor expansion of M in m 3.963 * [backup-simplify]: Simplify M into M 3.963 * [backup-simplify]: Simplify (- M) into (- M) 3.963 * [backup-simplify]: Simplify (- M) into (- M) 3.963 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.963 * [backup-simplify]: Simplify (- M) into (- M) 3.963 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.963 * [taylor]: Taking taylor expansion of (pow n 2) in m 3.963 * [taylor]: Taking taylor expansion of n in m 3.963 * [backup-simplify]: Simplify n into n 3.963 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 3.963 * [taylor]: Taking taylor expansion of 1/4 in m 3.963 * [backup-simplify]: Simplify 1/4 into 1/4 3.963 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 3.963 * [taylor]: Taking taylor expansion of m in m 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 3.963 * [taylor]: Taking taylor expansion of (cos (- M)) in m 3.963 * [taylor]: Taking taylor expansion of (- M) in m 3.963 * [taylor]: Taking taylor expansion of M in m 3.963 * [backup-simplify]: Simplify M into M 3.963 * [backup-simplify]: Simplify (- M) into (- M) 3.963 * [backup-simplify]: Simplify (- M) into (- M) 3.963 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.963 * [backup-simplify]: Simplify (- M) into (- M) 3.963 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.963 * [taylor]: Taking taylor expansion of n in m 3.963 * [backup-simplify]: Simplify n into n 3.964 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.964 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.964 * [backup-simplify]: Simplify (- 0) into 0 3.964 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.964 * [backup-simplify]: Simplify (* n n) into (pow n 2) 3.964 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 3.964 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 3.965 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 3.965 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 3.965 * [backup-simplify]: Simplify (- 0) into 0 3.965 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 3.965 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 3.965 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 3.966 * [backup-simplify]: Simplify (* 1/4 0) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 3.966 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 3.966 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 3.966 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 3.967 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 3.967 * [taylor]: Taking taylor expansion of 1/8 in n 3.967 * [backup-simplify]: Simplify 1/8 into 1/8 3.967 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 3.967 * [taylor]: Taking taylor expansion of (cos (- M)) in n 3.967 * [taylor]: Taking taylor expansion of (- M) in n 3.967 * [taylor]: Taking taylor expansion of M in n 3.967 * [backup-simplify]: Simplify M into M 3.967 * [backup-simplify]: Simplify (- M) into (- M) 3.967 * [backup-simplify]: Simplify (- M) into (- M) 3.967 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.967 * [backup-simplify]: Simplify (- M) into (- M) 3.967 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.967 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.967 * [taylor]: Taking taylor expansion of n in n 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (+ 0) into 0 3.968 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 3.968 * [backup-simplify]: Simplify (- 0) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.970 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 3.970 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 3.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 3.971 * [backup-simplify]: Simplify (+ 0) into 0 3.971 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (- 0) into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 3.973 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 3.974 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 3.975 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 3.975 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 3.975 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 3.975 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 3.975 * [taylor]: Taking taylor expansion of 1/2 in n 3.975 * [backup-simplify]: Simplify 1/2 into 1/2 3.975 * [taylor]: Taking taylor expansion of (sin (- M)) in n 3.975 * [taylor]: Taking taylor expansion of (- M) in n 3.975 * [taylor]: Taking taylor expansion of M in n 3.975 * [backup-simplify]: Simplify M into M 3.975 * [backup-simplify]: Simplify (- M) into (- M) 3.975 * [backup-simplify]: Simplify (- M) into (- M) 3.975 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 3.975 * [backup-simplify]: Simplify (- M) into (- M) 3.975 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 3.975 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 3.975 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 3.975 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 3.975 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 3.976 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 3.976 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 3.976 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 3.976 * [taylor]: Taking taylor expansion of 1/2 in M 3.976 * [backup-simplify]: Simplify 1/2 into 1/2 3.976 * [taylor]: Taking taylor expansion of (sin (- M)) in M 3.976 * [taylor]: Taking taylor expansion of (- M) in M 3.976 * [taylor]: Taking taylor expansion of M in M 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (- 0) into 0 3.977 * [backup-simplify]: Simplify (- 1) into -1 3.977 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.977 * [backup-simplify]: Simplify (- 0) into 0 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.979 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 3.980 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 3.980 * [backup-simplify]: Simplify (- 0) into 0 3.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.981 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [taylor]: Taking taylor expansion of 0 in n 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [taylor]: Taking taylor expansion of 0 in M 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 3.983 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 3.983 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 3.983 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 3.983 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.983 * [taylor]: Taking taylor expansion of 1/2 in M 3.983 * [backup-simplify]: Simplify 1/2 into 1/2 3.983 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.983 * [taylor]: Taking taylor expansion of (* m K) in M 3.983 * [taylor]: Taking taylor expansion of m in M 3.983 * [backup-simplify]: Simplify m into m 3.983 * [taylor]: Taking taylor expansion of K in M 3.983 * [backup-simplify]: Simplify K into K 3.983 * [backup-simplify]: Simplify (* m K) into (* m K) 3.983 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.983 * [taylor]: Taking taylor expansion of 1/2 in M 3.983 * [backup-simplify]: Simplify 1/2 into 1/2 3.983 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.983 * [taylor]: Taking taylor expansion of (* K n) in M 3.983 * [taylor]: Taking taylor expansion of K in M 3.983 * [backup-simplify]: Simplify K into K 3.983 * [taylor]: Taking taylor expansion of n in M 3.983 * [backup-simplify]: Simplify n into n 3.984 * [backup-simplify]: Simplify (* K n) into (* K n) 3.984 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.984 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.984 * [taylor]: Taking taylor expansion of M in M 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.984 * [backup-simplify]: Simplify (- 1) into -1 3.985 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.985 * [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))) 3.985 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 3.985 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 3.985 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 3.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 3.986 * [taylor]: Taking taylor expansion of 1/2 in n 3.986 * [backup-simplify]: Simplify 1/2 into 1/2 3.986 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 3.986 * [taylor]: Taking taylor expansion of (* m K) in n 3.986 * [taylor]: Taking taylor expansion of m in n 3.986 * [backup-simplify]: Simplify m into m 3.986 * [taylor]: Taking taylor expansion of K in n 3.986 * [backup-simplify]: Simplify K into K 3.986 * [backup-simplify]: Simplify (* m K) into (* m K) 3.986 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 3.986 * [taylor]: Taking taylor expansion of 1/2 in n 3.986 * [backup-simplify]: Simplify 1/2 into 1/2 3.986 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 3.986 * [taylor]: Taking taylor expansion of (* K n) in n 3.986 * [taylor]: Taking taylor expansion of K in n 3.986 * [backup-simplify]: Simplify K into K 3.986 * [taylor]: Taking taylor expansion of n in n 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (* K 0) into 0 3.987 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 3.987 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.987 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.987 * [taylor]: Taking taylor expansion of M in n 3.987 * [backup-simplify]: Simplify M into M 3.987 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.987 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.987 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 3.987 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.987 * [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))) 3.987 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 3.988 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 3.988 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 3.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 3.988 * [taylor]: Taking taylor expansion of 1/2 in m 3.988 * [backup-simplify]: Simplify 1/2 into 1/2 3.988 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 3.988 * [taylor]: Taking taylor expansion of (* m K) in m 3.988 * [taylor]: Taking taylor expansion of m in m 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [taylor]: Taking taylor expansion of K in m 3.988 * [backup-simplify]: Simplify K into K 3.988 * [backup-simplify]: Simplify (* 0 K) into 0 3.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 3.988 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 3.988 * [taylor]: Taking taylor expansion of 1/2 in m 3.989 * [backup-simplify]: Simplify 1/2 into 1/2 3.989 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 3.989 * [taylor]: Taking taylor expansion of (* K n) in m 3.989 * [taylor]: Taking taylor expansion of K in m 3.989 * [backup-simplify]: Simplify K into K 3.989 * [taylor]: Taking taylor expansion of n in m 3.989 * [backup-simplify]: Simplify n into n 3.989 * [backup-simplify]: Simplify (* K n) into (* K n) 3.989 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.989 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.989 * [taylor]: Taking taylor expansion of M in m 3.989 * [backup-simplify]: Simplify M into M 3.989 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.989 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.989 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 3.989 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.989 * [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))) 3.989 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 3.989 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 3.990 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 3.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 3.990 * [taylor]: Taking taylor expansion of 1/2 in K 3.990 * [backup-simplify]: Simplify 1/2 into 1/2 3.990 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 3.990 * [taylor]: Taking taylor expansion of (* m K) in K 3.990 * [taylor]: Taking taylor expansion of m in K 3.990 * [backup-simplify]: Simplify m into m 3.990 * [taylor]: Taking taylor expansion of K in K 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify (* m 0) into 0 3.990 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 3.990 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 3.990 * [taylor]: Taking taylor expansion of 1/2 in K 3.990 * [backup-simplify]: Simplify 1/2 into 1/2 3.990 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 3.990 * [taylor]: Taking taylor expansion of (* K n) in K 3.990 * [taylor]: Taking taylor expansion of K in K 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [taylor]: Taking taylor expansion of n in K 3.991 * [backup-simplify]: Simplify n into n 3.991 * [backup-simplify]: Simplify (* 0 n) into 0 3.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.991 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.991 * [taylor]: Taking taylor expansion of (/ 1 M) in K 3.991 * [taylor]: Taking taylor expansion of M in K 3.991 * [backup-simplify]: Simplify M into M 3.991 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.991 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 3.991 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.991 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.991 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.992 * [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))) 3.992 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 3.992 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 3.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 3.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 3.992 * [taylor]: Taking taylor expansion of 1/2 in K 3.992 * [backup-simplify]: Simplify 1/2 into 1/2 3.992 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 3.992 * [taylor]: Taking taylor expansion of (* m K) in K 3.992 * [taylor]: Taking taylor expansion of m in K 3.992 * [backup-simplify]: Simplify m into m 3.992 * [taylor]: Taking taylor expansion of K in K 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* m 0) into 0 3.992 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 3.992 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 3.992 * [taylor]: Taking taylor expansion of 1/2 in K 3.992 * [backup-simplify]: Simplify 1/2 into 1/2 3.992 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 3.992 * [taylor]: Taking taylor expansion of (* K n) in K 3.992 * [taylor]: Taking taylor expansion of K in K 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 1 into 1 3.992 * [taylor]: Taking taylor expansion of n in K 3.992 * [backup-simplify]: Simplify n into n 3.992 * [backup-simplify]: Simplify (* 0 n) into 0 3.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 3.993 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.993 * [taylor]: Taking taylor expansion of (/ 1 M) in K 3.993 * [taylor]: Taking taylor expansion of M in K 3.993 * [backup-simplify]: Simplify M into M 3.993 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.993 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 3.993 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.993 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.993 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 3.993 * [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))) 3.993 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 3.993 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 3.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 3.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 3.993 * [taylor]: Taking taylor expansion of 1/2 in m 3.993 * [backup-simplify]: Simplify 1/2 into 1/2 3.993 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 3.993 * [taylor]: Taking taylor expansion of (* m K) in m 3.993 * [taylor]: Taking taylor expansion of m in m 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 1 into 1 3.993 * [taylor]: Taking taylor expansion of K in m 3.993 * [backup-simplify]: Simplify K into K 3.993 * [backup-simplify]: Simplify (* 0 K) into 0 3.994 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 3.994 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 3.994 * [taylor]: Taking taylor expansion of 1/2 in m 3.994 * [backup-simplify]: Simplify 1/2 into 1/2 3.994 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 3.994 * [taylor]: Taking taylor expansion of (* K n) in m 3.994 * [taylor]: Taking taylor expansion of K in m 3.994 * [backup-simplify]: Simplify K into K 3.994 * [taylor]: Taking taylor expansion of n in m 3.994 * [backup-simplify]: Simplify n into n 3.994 * [backup-simplify]: Simplify (* K n) into (* K n) 3.994 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.994 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.994 * [taylor]: Taking taylor expansion of M in m 3.994 * [backup-simplify]: Simplify M into M 3.994 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.994 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.994 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 3.994 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.994 * [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))) 3.994 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 3.994 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 3.994 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 3.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 3.994 * [taylor]: Taking taylor expansion of 1/2 in n 3.994 * [backup-simplify]: Simplify 1/2 into 1/2 3.994 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 3.994 * [taylor]: Taking taylor expansion of (* m K) in n 3.994 * [taylor]: Taking taylor expansion of m in n 3.994 * [backup-simplify]: Simplify m into m 3.994 * [taylor]: Taking taylor expansion of K in n 3.994 * [backup-simplify]: Simplify K into K 3.995 * [backup-simplify]: Simplify (* m K) into (* m K) 3.995 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 3.995 * [taylor]: Taking taylor expansion of 1/2 in n 3.995 * [backup-simplify]: Simplify 1/2 into 1/2 3.995 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 3.995 * [taylor]: Taking taylor expansion of (* K n) in n 3.995 * [taylor]: Taking taylor expansion of K in n 3.995 * [backup-simplify]: Simplify K into K 3.995 * [taylor]: Taking taylor expansion of n in n 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (* K 0) into 0 3.995 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 3.995 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 3.995 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.995 * [taylor]: Taking taylor expansion of M in n 3.995 * [backup-simplify]: Simplify M into M 3.995 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.995 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 3.995 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 3.995 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 3.995 * [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))) 3.995 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 3.996 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 3.996 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.996 * [taylor]: Taking taylor expansion of 1/2 in M 3.996 * [backup-simplify]: Simplify 1/2 into 1/2 3.996 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.996 * [taylor]: Taking taylor expansion of (* m K) in M 3.996 * [taylor]: Taking taylor expansion of m in M 3.996 * [backup-simplify]: Simplify m into m 3.996 * [taylor]: Taking taylor expansion of K in M 3.996 * [backup-simplify]: Simplify K into K 3.996 * [backup-simplify]: Simplify (* m K) into (* m K) 3.996 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.996 * [taylor]: Taking taylor expansion of 1/2 in M 3.996 * [backup-simplify]: Simplify 1/2 into 1/2 3.996 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.996 * [taylor]: Taking taylor expansion of (* K n) in M 3.996 * [taylor]: Taking taylor expansion of K in M 3.996 * [backup-simplify]: Simplify K into K 3.996 * [taylor]: Taking taylor expansion of n in M 3.996 * [backup-simplify]: Simplify n into n 3.996 * [backup-simplify]: Simplify (* K n) into (* K n) 3.996 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.996 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.996 * [taylor]: Taking taylor expansion of M in M 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [backup-simplify]: Simplify (- 1) into -1 3.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.997 * [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))) 3.997 * [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))) 3.997 * [taylor]: Taking taylor expansion of 0 in m 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in n 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in M 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in n 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in M 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [taylor]: Taking taylor expansion of 0 in M 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [taylor]: Taking taylor expansion of 0 in m 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [taylor]: Taking taylor expansion of 0 in n 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [taylor]: Taking taylor expansion of 0 in M 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [taylor]: Taking taylor expansion of 0 in n 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [taylor]: Taking taylor expansion of 0 in M 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [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)) 3.998 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 3.998 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 3.998 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 3.998 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 3.998 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.998 * [taylor]: Taking taylor expansion of M in M 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 3.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 3.999 * [taylor]: Taking taylor expansion of 1/2 in M 3.999 * [backup-simplify]: Simplify 1/2 into 1/2 3.999 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 3.999 * [taylor]: Taking taylor expansion of (* m K) in M 3.999 * [taylor]: Taking taylor expansion of m in M 3.999 * [backup-simplify]: Simplify m into m 3.999 * [taylor]: Taking taylor expansion of K in M 3.999 * [backup-simplify]: Simplify K into K 3.999 * [backup-simplify]: Simplify (* m K) into (* m K) 3.999 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 3.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 3.999 * [taylor]: Taking taylor expansion of 1/2 in M 3.999 * [backup-simplify]: Simplify 1/2 into 1/2 3.999 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 3.999 * [taylor]: Taking taylor expansion of (* K n) in M 3.999 * [taylor]: Taking taylor expansion of K in M 3.999 * [backup-simplify]: Simplify K into K 3.999 * [taylor]: Taking taylor expansion of n in M 3.999 * [backup-simplify]: Simplify n into n 3.999 * [backup-simplify]: Simplify (* K n) into (* K n) 3.999 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 3.999 * [backup-simplify]: Simplify (+ 1 0) into 1 4.000 * [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)))))) 4.000 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 4.000 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 4.000 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.000 * [taylor]: Taking taylor expansion of M in n 4.000 * [backup-simplify]: Simplify M into M 4.000 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.000 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.000 * [taylor]: Taking taylor expansion of 1/2 in n 4.000 * [backup-simplify]: Simplify 1/2 into 1/2 4.000 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.000 * [taylor]: Taking taylor expansion of (* m K) in n 4.000 * [taylor]: Taking taylor expansion of m in n 4.000 * [backup-simplify]: Simplify m into m 4.000 * [taylor]: Taking taylor expansion of K in n 4.000 * [backup-simplify]: Simplify K into K 4.000 * [backup-simplify]: Simplify (* m K) into (* m K) 4.000 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.000 * [taylor]: Taking taylor expansion of 1/2 in n 4.000 * [backup-simplify]: Simplify 1/2 into 1/2 4.000 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.000 * [taylor]: Taking taylor expansion of (* K n) in n 4.000 * [taylor]: Taking taylor expansion of K in n 4.000 * [backup-simplify]: Simplify K into K 4.000 * [taylor]: Taking taylor expansion of n in n 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (* K 0) into 0 4.000 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.000 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.000 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.001 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.001 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.001 * [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)))))) 4.001 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 4.001 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.001 * [taylor]: Taking taylor expansion of M in m 4.001 * [backup-simplify]: Simplify M into M 4.001 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.001 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.001 * [taylor]: Taking taylor expansion of 1/2 in m 4.001 * [backup-simplify]: Simplify 1/2 into 1/2 4.001 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.001 * [taylor]: Taking taylor expansion of (* m K) in m 4.001 * [taylor]: Taking taylor expansion of m in m 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of K in m 4.001 * [backup-simplify]: Simplify K into K 4.001 * [backup-simplify]: Simplify (* 0 K) into 0 4.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.001 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.001 * [taylor]: Taking taylor expansion of 1/2 in m 4.001 * [backup-simplify]: Simplify 1/2 into 1/2 4.001 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.001 * [taylor]: Taking taylor expansion of (* K n) in m 4.001 * [taylor]: Taking taylor expansion of K in m 4.001 * [backup-simplify]: Simplify K into K 4.001 * [taylor]: Taking taylor expansion of n in m 4.002 * [backup-simplify]: Simplify n into n 4.002 * [backup-simplify]: Simplify (* K n) into (* K n) 4.002 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.002 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.002 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.002 * [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)))))) 4.002 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 4.002 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 4.002 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.002 * [taylor]: Taking taylor expansion of M in K 4.002 * [backup-simplify]: Simplify M into M 4.002 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.002 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.002 * [taylor]: Taking taylor expansion of 1/2 in K 4.002 * [backup-simplify]: Simplify 1/2 into 1/2 4.002 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.002 * [taylor]: Taking taylor expansion of (* m K) in K 4.002 * [taylor]: Taking taylor expansion of m in K 4.002 * [backup-simplify]: Simplify m into m 4.002 * [taylor]: Taking taylor expansion of K in K 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* m 0) into 0 4.002 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.003 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.003 * [taylor]: Taking taylor expansion of 1/2 in K 4.003 * [backup-simplify]: Simplify 1/2 into 1/2 4.003 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.003 * [taylor]: Taking taylor expansion of (* K n) in K 4.003 * [taylor]: Taking taylor expansion of K in K 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify 1 into 1 4.003 * [taylor]: Taking taylor expansion of n in K 4.003 * [backup-simplify]: Simplify n into n 4.003 * [backup-simplify]: Simplify (* 0 n) into 0 4.003 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.003 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.003 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.003 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.003 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.003 * [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)))))) 4.004 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 4.004 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 4.004 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.004 * [taylor]: Taking taylor expansion of M in K 4.004 * [backup-simplify]: Simplify M into M 4.004 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.004 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.004 * [taylor]: Taking taylor expansion of 1/2 in K 4.004 * [backup-simplify]: Simplify 1/2 into 1/2 4.004 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.004 * [taylor]: Taking taylor expansion of (* m K) in K 4.004 * [taylor]: Taking taylor expansion of m in K 4.004 * [backup-simplify]: Simplify m into m 4.004 * [taylor]: Taking taylor expansion of K in K 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [backup-simplify]: Simplify (* m 0) into 0 4.004 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.004 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.004 * [taylor]: Taking taylor expansion of 1/2 in K 4.004 * [backup-simplify]: Simplify 1/2 into 1/2 4.004 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.004 * [taylor]: Taking taylor expansion of (* K n) in K 4.004 * [taylor]: Taking taylor expansion of K in K 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [taylor]: Taking taylor expansion of n in K 4.004 * [backup-simplify]: Simplify n into n 4.004 * [backup-simplify]: Simplify (* 0 n) into 0 4.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.005 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.005 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.005 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.005 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.005 * [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)))))) 4.005 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 4.005 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 4.005 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.005 * [taylor]: Taking taylor expansion of M in m 4.005 * [backup-simplify]: Simplify M into M 4.005 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.005 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.005 * [taylor]: Taking taylor expansion of 1/2 in m 4.006 * [backup-simplify]: Simplify 1/2 into 1/2 4.006 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.006 * [taylor]: Taking taylor expansion of (* m K) in m 4.006 * [taylor]: Taking taylor expansion of m in m 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of K in m 4.006 * [backup-simplify]: Simplify K into K 4.006 * [backup-simplify]: Simplify (* 0 K) into 0 4.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.006 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.006 * [taylor]: Taking taylor expansion of 1/2 in m 4.006 * [backup-simplify]: Simplify 1/2 into 1/2 4.006 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.006 * [taylor]: Taking taylor expansion of (* K n) in m 4.006 * [taylor]: Taking taylor expansion of K in m 4.006 * [backup-simplify]: Simplify K into K 4.006 * [taylor]: Taking taylor expansion of n in m 4.006 * [backup-simplify]: Simplify n into n 4.006 * [backup-simplify]: Simplify (* K n) into (* K n) 4.006 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.006 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.006 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.006 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.006 * [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)))))) 4.007 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 4.007 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.007 * [taylor]: Taking taylor expansion of M in n 4.007 * [backup-simplify]: Simplify M into M 4.007 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.007 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.007 * [taylor]: Taking taylor expansion of 1/2 in n 4.007 * [backup-simplify]: Simplify 1/2 into 1/2 4.007 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.007 * [taylor]: Taking taylor expansion of (* m K) in n 4.007 * [taylor]: Taking taylor expansion of m in n 4.007 * [backup-simplify]: Simplify m into m 4.007 * [taylor]: Taking taylor expansion of K in n 4.007 * [backup-simplify]: Simplify K into K 4.007 * [backup-simplify]: Simplify (* m K) into (* m K) 4.007 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.007 * [taylor]: Taking taylor expansion of 1/2 in n 4.007 * [backup-simplify]: Simplify 1/2 into 1/2 4.007 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.007 * [taylor]: Taking taylor expansion of (* K n) in n 4.007 * [taylor]: Taking taylor expansion of K in n 4.007 * [backup-simplify]: Simplify K into K 4.007 * [taylor]: Taking taylor expansion of n in n 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (* K 0) into 0 4.007 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.007 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.007 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.007 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.007 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.008 * [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)))))) 4.008 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 4.008 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 4.008 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.008 * [taylor]: Taking taylor expansion of M in M 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.008 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.008 * [taylor]: Taking taylor expansion of 1/2 in M 4.008 * [backup-simplify]: Simplify 1/2 into 1/2 4.008 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.008 * [taylor]: Taking taylor expansion of (* m K) in M 4.008 * [taylor]: Taking taylor expansion of m in M 4.008 * [backup-simplify]: Simplify m into m 4.008 * [taylor]: Taking taylor expansion of K in M 4.008 * [backup-simplify]: Simplify K into K 4.008 * [backup-simplify]: Simplify (* m K) into (* m K) 4.008 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.008 * [taylor]: Taking taylor expansion of 1/2 in M 4.008 * [backup-simplify]: Simplify 1/2 into 1/2 4.008 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.008 * [taylor]: Taking taylor expansion of (* K n) in M 4.008 * [taylor]: Taking taylor expansion of K in M 4.008 * [backup-simplify]: Simplify K into K 4.008 * [taylor]: Taking taylor expansion of n in M 4.008 * [backup-simplify]: Simplify n into n 4.008 * [backup-simplify]: Simplify (* K n) into (* K n) 4.008 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.009 * [backup-simplify]: Simplify (+ 1 0) into 1 4.009 * [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)))))) 4.009 * [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)))))) 4.009 * [taylor]: Taking taylor expansion of 0 in m 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in n 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in M 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in n 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in M 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in M 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in m 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [taylor]: Taking taylor expansion of 0 in n 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [taylor]: Taking taylor expansion of 0 in M 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [taylor]: Taking taylor expansion of 0 in n 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [taylor]: Taking taylor expansion of 0 in M 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [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)) 4.010 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 4.010 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 4.010 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 4.010 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 4.010 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 4.010 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 4.010 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 4.010 * [taylor]: Taking taylor expansion of 1/2 in M 4.010 * [backup-simplify]: Simplify 1/2 into 1/2 4.010 * [taylor]: Taking taylor expansion of (* K n) in M 4.010 * [taylor]: Taking taylor expansion of K in M 4.010 * [backup-simplify]: Simplify K into K 4.010 * [taylor]: Taking taylor expansion of n in M 4.010 * [backup-simplify]: Simplify n into n 4.010 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 4.010 * [taylor]: Taking taylor expansion of 1/2 in M 4.010 * [backup-simplify]: Simplify 1/2 into 1/2 4.010 * [taylor]: Taking taylor expansion of (* K m) in M 4.010 * [taylor]: Taking taylor expansion of K in M 4.010 * [backup-simplify]: Simplify K into K 4.010 * [taylor]: Taking taylor expansion of m in M 4.010 * [backup-simplify]: Simplify m into m 4.010 * [taylor]: Taking taylor expansion of M in M 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (* K n) into (* K n) 4.011 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 4.011 * [backup-simplify]: Simplify (* K m) into (* K m) 4.011 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 4.011 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 4.011 * [backup-simplify]: Simplify (- 0) into 0 4.011 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 4.011 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 4.011 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 4.011 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 4.011 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 4.011 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 4.011 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 4.011 * [taylor]: Taking taylor expansion of 1/2 in n 4.011 * [backup-simplify]: Simplify 1/2 into 1/2 4.011 * [taylor]: Taking taylor expansion of (* K n) in n 4.011 * [taylor]: Taking taylor expansion of K in n 4.012 * [backup-simplify]: Simplify K into K 4.012 * [taylor]: Taking taylor expansion of n in n 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 4.012 * [taylor]: Taking taylor expansion of 1/2 in n 4.012 * [backup-simplify]: Simplify 1/2 into 1/2 4.012 * [taylor]: Taking taylor expansion of (* K m) in n 4.012 * [taylor]: Taking taylor expansion of K in n 4.012 * [backup-simplify]: Simplify K into K 4.012 * [taylor]: Taking taylor expansion of m in n 4.012 * [backup-simplify]: Simplify m into m 4.012 * [taylor]: Taking taylor expansion of M in n 4.012 * [backup-simplify]: Simplify M into M 4.012 * [backup-simplify]: Simplify (* K 0) into 0 4.012 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.012 * [backup-simplify]: Simplify (* K m) into (* K m) 4.012 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 4.012 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 4.012 * [backup-simplify]: Simplify (- M) into (- M) 4.012 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 4.012 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 4.012 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 4.012 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 4.012 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 4.012 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 4.012 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 4.013 * [taylor]: Taking taylor expansion of 1/2 in m 4.013 * [backup-simplify]: Simplify 1/2 into 1/2 4.013 * [taylor]: Taking taylor expansion of (* K n) in m 4.013 * [taylor]: Taking taylor expansion of K in m 4.013 * [backup-simplify]: Simplify K into K 4.013 * [taylor]: Taking taylor expansion of n in m 4.013 * [backup-simplify]: Simplify n into n 4.013 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 4.013 * [taylor]: Taking taylor expansion of 1/2 in m 4.013 * [backup-simplify]: Simplify 1/2 into 1/2 4.013 * [taylor]: Taking taylor expansion of (* K m) in m 4.013 * [taylor]: Taking taylor expansion of K in m 4.013 * [backup-simplify]: Simplify K into K 4.013 * [taylor]: Taking taylor expansion of m in m 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of M in m 4.013 * [backup-simplify]: Simplify M into M 4.013 * [backup-simplify]: Simplify (* K n) into (* K n) 4.013 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 4.013 * [backup-simplify]: Simplify (* K 0) into 0 4.013 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.013 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 4.013 * [backup-simplify]: Simplify (- M) into (- M) 4.013 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 4.013 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 4.013 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 4.013 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 4.014 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 4.014 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 4.014 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 4.014 * [taylor]: Taking taylor expansion of 1/2 in K 4.014 * [backup-simplify]: Simplify 1/2 into 1/2 4.014 * [taylor]: Taking taylor expansion of (* K n) in K 4.014 * [taylor]: Taking taylor expansion of K in K 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of n in K 4.014 * [backup-simplify]: Simplify n into n 4.014 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 4.014 * [taylor]: Taking taylor expansion of 1/2 in K 4.014 * [backup-simplify]: Simplify 1/2 into 1/2 4.014 * [taylor]: Taking taylor expansion of (* K m) in K 4.014 * [taylor]: Taking taylor expansion of K in K 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of m in K 4.014 * [backup-simplify]: Simplify m into m 4.014 * [taylor]: Taking taylor expansion of M in K 4.014 * [backup-simplify]: Simplify M into M 4.014 * [backup-simplify]: Simplify (* 0 n) into 0 4.014 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.014 * [backup-simplify]: Simplify (* 0 m) into 0 4.014 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.015 * [backup-simplify]: Simplify (- M) into (- M) 4.015 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.015 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.015 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.015 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 4.015 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 4.015 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 4.015 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 4.015 * [taylor]: Taking taylor expansion of 1/2 in K 4.015 * [backup-simplify]: Simplify 1/2 into 1/2 4.015 * [taylor]: Taking taylor expansion of (* K n) in K 4.015 * [taylor]: Taking taylor expansion of K in K 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of n in K 4.015 * [backup-simplify]: Simplify n into n 4.015 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 4.015 * [taylor]: Taking taylor expansion of 1/2 in K 4.015 * [backup-simplify]: Simplify 1/2 into 1/2 4.015 * [taylor]: Taking taylor expansion of (* K m) in K 4.015 * [taylor]: Taking taylor expansion of K in K 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of m in K 4.015 * [backup-simplify]: Simplify m into m 4.015 * [taylor]: Taking taylor expansion of M in K 4.015 * [backup-simplify]: Simplify M into M 4.015 * [backup-simplify]: Simplify (* 0 n) into 0 4.015 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.016 * [backup-simplify]: Simplify (* 0 m) into 0 4.016 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.016 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify (- M) into (- M) 4.016 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.016 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.016 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.016 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.016 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.017 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.017 * [taylor]: Taking taylor expansion of (- M) in m 4.017 * [taylor]: Taking taylor expansion of M in m 4.017 * [backup-simplify]: Simplify M into M 4.017 * [backup-simplify]: Simplify (- M) into (- M) 4.017 * [backup-simplify]: Simplify (- M) into (- M) 4.017 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.017 * [backup-simplify]: Simplify (- M) into (- M) 4.017 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.017 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.017 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.017 * [backup-simplify]: Simplify (- 0) into 0 4.017 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.017 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.017 * [taylor]: Taking taylor expansion of (- M) in n 4.017 * [taylor]: Taking taylor expansion of M in n 4.017 * [backup-simplify]: Simplify M into M 4.017 * [backup-simplify]: Simplify (- M) into (- M) 4.017 * [backup-simplify]: Simplify (- M) into (- M) 4.017 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.017 * [backup-simplify]: Simplify (- M) into (- M) 4.017 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.017 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.018 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.018 * [backup-simplify]: Simplify (- 0) into 0 4.018 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.018 * [taylor]: Taking taylor expansion of (cos (- M)) in M 4.018 * [taylor]: Taking taylor expansion of (- M) in M 4.018 * [taylor]: Taking taylor expansion of M in M 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (- 0) into 0 4.019 * [backup-simplify]: Simplify (- 1) into -1 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (+ 0) into 0 4.019 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.020 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 4.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 4.021 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 4.021 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 4.022 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 4.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 4.023 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 4.023 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 4.023 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 4.023 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 4.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 4.023 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 4.023 * [taylor]: Taking taylor expansion of 1/2 in m 4.024 * [backup-simplify]: Simplify 1/2 into 1/2 4.024 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 4.024 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.024 * [taylor]: Taking taylor expansion of (- M) in m 4.024 * [taylor]: Taking taylor expansion of M in m 4.024 * [backup-simplify]: Simplify M into M 4.024 * [backup-simplify]: Simplify (- M) into (- M) 4.024 * [backup-simplify]: Simplify (- M) into (- M) 4.024 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.024 * [backup-simplify]: Simplify (- M) into (- M) 4.024 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.024 * [taylor]: Taking taylor expansion of n in m 4.024 * [backup-simplify]: Simplify n into n 4.024 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 4.024 * [taylor]: Taking taylor expansion of 1/2 in m 4.024 * [backup-simplify]: Simplify 1/2 into 1/2 4.024 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 4.024 * [taylor]: Taking taylor expansion of m in m 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.024 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.024 * [taylor]: Taking taylor expansion of (- M) in m 4.024 * [taylor]: Taking taylor expansion of M in m 4.024 * [backup-simplify]: Simplify M into M 4.024 * [backup-simplify]: Simplify (- M) into (- M) 4.024 * [backup-simplify]: Simplify (- M) into (- M) 4.024 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.024 * [backup-simplify]: Simplify (- M) into (- M) 4.024 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.025 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.025 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.025 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.025 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 4.025 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 4.025 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.025 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.025 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.025 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 4.026 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 4.026 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 4.026 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 4.026 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 4.026 * [taylor]: Taking taylor expansion of 1/2 in n 4.026 * [backup-simplify]: Simplify 1/2 into 1/2 4.026 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 4.026 * [taylor]: Taking taylor expansion of (sin (- M)) in n 4.026 * [taylor]: Taking taylor expansion of (- M) in n 4.026 * [taylor]: Taking taylor expansion of M in n 4.026 * [backup-simplify]: Simplify M into M 4.026 * [backup-simplify]: Simplify (- M) into (- M) 4.026 * [backup-simplify]: Simplify (- M) into (- M) 4.026 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.026 * [backup-simplify]: Simplify (- M) into (- M) 4.026 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.026 * [taylor]: Taking taylor expansion of n in n 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.027 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.027 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.027 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.027 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.028 * [backup-simplify]: Simplify (- 0) into 0 4.028 * [taylor]: Taking taylor expansion of 0 in M 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ 0) into 0 4.029 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.029 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.030 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 4.031 * [backup-simplify]: Simplify (- 0) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.031 * [taylor]: Taking taylor expansion of 0 in n 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [taylor]: Taking taylor expansion of 0 in M 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ 0) into 0 4.032 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (- 0) into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.034 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 4.034 * [backup-simplify]: Simplify (- 0) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [taylor]: Taking taylor expansion of 0 in M 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (+ 0) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 4.037 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 4.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 4.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.043 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 4.043 * [backup-simplify]: Simplify (- 0) into 0 4.044 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 4.044 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 4.044 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 4.044 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 4.044 * [taylor]: Taking taylor expansion of 1/8 in m 4.044 * [backup-simplify]: Simplify 1/8 into 1/8 4.044 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 4.044 * [taylor]: Taking taylor expansion of (pow m 2) in m 4.044 * [taylor]: Taking taylor expansion of m in m 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.045 * [taylor]: Taking taylor expansion of (- M) in m 4.045 * [taylor]: Taking taylor expansion of M in m 4.045 * [backup-simplify]: Simplify M into M 4.045 * [backup-simplify]: Simplify (- M) into (- M) 4.045 * [backup-simplify]: Simplify (- M) into (- M) 4.045 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.045 * [backup-simplify]: Simplify (- M) into (- M) 4.045 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.045 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 4.045 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 4.045 * [taylor]: Taking taylor expansion of 1/8 in m 4.045 * [backup-simplify]: Simplify 1/8 into 1/8 4.045 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 4.045 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.045 * [taylor]: Taking taylor expansion of (- M) in m 4.045 * [taylor]: Taking taylor expansion of M in m 4.045 * [backup-simplify]: Simplify M into M 4.045 * [backup-simplify]: Simplify (- M) into (- M) 4.045 * [backup-simplify]: Simplify (- M) into (- M) 4.045 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.045 * [backup-simplify]: Simplify (- M) into (- M) 4.045 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.045 * [taylor]: Taking taylor expansion of (pow n 2) in m 4.045 * [taylor]: Taking taylor expansion of n in m 4.045 * [backup-simplify]: Simplify n into n 4.045 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 4.045 * [taylor]: Taking taylor expansion of 1/4 in m 4.046 * [backup-simplify]: Simplify 1/4 into 1/4 4.046 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 4.046 * [taylor]: Taking taylor expansion of m in m 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 4.046 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.046 * [taylor]: Taking taylor expansion of (- M) in m 4.046 * [taylor]: Taking taylor expansion of M in m 4.046 * [backup-simplify]: Simplify M into M 4.046 * [backup-simplify]: Simplify (- M) into (- M) 4.046 * [backup-simplify]: Simplify (- M) into (- M) 4.046 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.046 * [backup-simplify]: Simplify (- M) into (- M) 4.046 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.046 * [taylor]: Taking taylor expansion of n in m 4.046 * [backup-simplify]: Simplify n into n 4.046 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.046 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.047 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.047 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.047 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 4.047 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 4.047 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.047 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.048 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.048 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 4.048 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 4.048 * [backup-simplify]: Simplify (* 1/4 0) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 4.049 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 4.049 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 4.049 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 4.049 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 4.049 * [taylor]: Taking taylor expansion of 1/8 in n 4.049 * [backup-simplify]: Simplify 1/8 into 1/8 4.049 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 4.049 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.049 * [taylor]: Taking taylor expansion of (- M) in n 4.049 * [taylor]: Taking taylor expansion of M in n 4.049 * [backup-simplify]: Simplify M into M 4.049 * [backup-simplify]: Simplify (- M) into (- M) 4.049 * [backup-simplify]: Simplify (- M) into (- M) 4.050 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.050 * [backup-simplify]: Simplify (- M) into (- M) 4.050 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.050 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.050 * [taylor]: Taking taylor expansion of n in n 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (+ 0) into 0 4.051 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.052 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 4.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 4.054 * [backup-simplify]: Simplify (+ 0) into 0 4.054 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 4.055 * [backup-simplify]: Simplify (- 0) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.056 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.057 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 4.058 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 4.058 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 4.058 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 4.058 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 4.058 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 4.058 * [taylor]: Taking taylor expansion of 1/2 in n 4.058 * [backup-simplify]: Simplify 1/2 into 1/2 4.058 * [taylor]: Taking taylor expansion of (sin (- M)) in n 4.058 * [taylor]: Taking taylor expansion of (- M) in n 4.058 * [taylor]: Taking taylor expansion of M in n 4.058 * [backup-simplify]: Simplify M into M 4.058 * [backup-simplify]: Simplify (- M) into (- M) 4.058 * [backup-simplify]: Simplify (- M) into (- M) 4.058 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.058 * [backup-simplify]: Simplify (- M) into (- M) 4.058 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.058 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.058 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.058 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.059 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 4.059 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 4.059 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 4.059 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 4.059 * [taylor]: Taking taylor expansion of 1/2 in M 4.059 * [backup-simplify]: Simplify 1/2 into 1/2 4.059 * [taylor]: Taking taylor expansion of (sin (- M)) in M 4.059 * [taylor]: Taking taylor expansion of (- M) in M 4.059 * [taylor]: Taking taylor expansion of M in M 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (- 0) into 0 4.060 * [backup-simplify]: Simplify (- 1) into -1 4.060 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.065 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.066 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.067 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 4.067 * [backup-simplify]: Simplify (- 0) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [taylor]: Taking taylor expansion of 0 in n 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [taylor]: Taking taylor expansion of 0 in M 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 4.068 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 4.068 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 4.068 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 4.068 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.068 * [taylor]: Taking taylor expansion of 1/2 in M 4.068 * [backup-simplify]: Simplify 1/2 into 1/2 4.068 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.068 * [taylor]: Taking taylor expansion of (* m K) in M 4.069 * [taylor]: Taking taylor expansion of m in M 4.069 * [backup-simplify]: Simplify m into m 4.069 * [taylor]: Taking taylor expansion of K in M 4.069 * [backup-simplify]: Simplify K into K 4.069 * [backup-simplify]: Simplify (* m K) into (* m K) 4.069 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.069 * [taylor]: Taking taylor expansion of 1/2 in M 4.069 * [backup-simplify]: Simplify 1/2 into 1/2 4.069 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.069 * [taylor]: Taking taylor expansion of (* K n) in M 4.069 * [taylor]: Taking taylor expansion of K in M 4.069 * [backup-simplify]: Simplify K into K 4.069 * [taylor]: Taking taylor expansion of n in M 4.069 * [backup-simplify]: Simplify n into n 4.069 * [backup-simplify]: Simplify (* K n) into (* K n) 4.069 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.069 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.069 * [taylor]: Taking taylor expansion of M in M 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [backup-simplify]: Simplify (- 1) into -1 4.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.071 * [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))) 4.071 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 4.071 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 4.071 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.071 * [taylor]: Taking taylor expansion of 1/2 in n 4.071 * [backup-simplify]: Simplify 1/2 into 1/2 4.071 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.071 * [taylor]: Taking taylor expansion of (* m K) in n 4.071 * [taylor]: Taking taylor expansion of m in n 4.071 * [backup-simplify]: Simplify m into m 4.071 * [taylor]: Taking taylor expansion of K in n 4.071 * [backup-simplify]: Simplify K into K 4.071 * [backup-simplify]: Simplify (* m K) into (* m K) 4.071 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.071 * [taylor]: Taking taylor expansion of 1/2 in n 4.071 * [backup-simplify]: Simplify 1/2 into 1/2 4.071 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.071 * [taylor]: Taking taylor expansion of (* K n) in n 4.071 * [taylor]: Taking taylor expansion of K in n 4.072 * [backup-simplify]: Simplify K into K 4.072 * [taylor]: Taking taylor expansion of n in n 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (* K 0) into 0 4.072 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.072 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.072 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.072 * [taylor]: Taking taylor expansion of M in n 4.072 * [backup-simplify]: Simplify M into M 4.072 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.072 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.072 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.073 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.073 * [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))) 4.073 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 4.073 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 4.073 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.073 * [taylor]: Taking taylor expansion of 1/2 in m 4.073 * [backup-simplify]: Simplify 1/2 into 1/2 4.073 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.073 * [taylor]: Taking taylor expansion of (* m K) in m 4.073 * [taylor]: Taking taylor expansion of m in m 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of K in m 4.073 * [backup-simplify]: Simplify K into K 4.073 * [backup-simplify]: Simplify (* 0 K) into 0 4.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.074 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.074 * [taylor]: Taking taylor expansion of 1/2 in m 4.074 * [backup-simplify]: Simplify 1/2 into 1/2 4.074 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.074 * [taylor]: Taking taylor expansion of (* K n) in m 4.074 * [taylor]: Taking taylor expansion of K in m 4.074 * [backup-simplify]: Simplify K into K 4.074 * [taylor]: Taking taylor expansion of n in m 4.074 * [backup-simplify]: Simplify n into n 4.074 * [backup-simplify]: Simplify (* K n) into (* K n) 4.074 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.074 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.074 * [taylor]: Taking taylor expansion of M in m 4.074 * [backup-simplify]: Simplify M into M 4.074 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.074 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.075 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.075 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.075 * [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))) 4.075 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 4.075 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 4.075 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.075 * [taylor]: Taking taylor expansion of 1/2 in K 4.075 * [backup-simplify]: Simplify 1/2 into 1/2 4.075 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.075 * [taylor]: Taking taylor expansion of (* m K) in K 4.075 * [taylor]: Taking taylor expansion of m in K 4.075 * [backup-simplify]: Simplify m into m 4.075 * [taylor]: Taking taylor expansion of K in K 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (* m 0) into 0 4.076 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.076 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.076 * [taylor]: Taking taylor expansion of 1/2 in K 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.076 * [taylor]: Taking taylor expansion of (* K n) in K 4.076 * [taylor]: Taking taylor expansion of K in K 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of n in K 4.076 * [backup-simplify]: Simplify n into n 4.076 * [backup-simplify]: Simplify (* 0 n) into 0 4.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.077 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.077 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.077 * [taylor]: Taking taylor expansion of M in K 4.077 * [backup-simplify]: Simplify M into M 4.077 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.077 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.077 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.077 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.077 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.078 * [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))) 4.078 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 4.078 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 4.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.078 * [taylor]: Taking taylor expansion of 1/2 in K 4.078 * [backup-simplify]: Simplify 1/2 into 1/2 4.078 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.078 * [taylor]: Taking taylor expansion of (* m K) in K 4.078 * [taylor]: Taking taylor expansion of m in K 4.078 * [backup-simplify]: Simplify m into m 4.078 * [taylor]: Taking taylor expansion of K in K 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (* m 0) into 0 4.079 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.079 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.079 * [taylor]: Taking taylor expansion of 1/2 in K 4.079 * [backup-simplify]: Simplify 1/2 into 1/2 4.079 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.079 * [taylor]: Taking taylor expansion of (* K n) in K 4.079 * [taylor]: Taking taylor expansion of K in K 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [taylor]: Taking taylor expansion of n in K 4.079 * [backup-simplify]: Simplify n into n 4.079 * [backup-simplify]: Simplify (* 0 n) into 0 4.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.079 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.080 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.080 * [taylor]: Taking taylor expansion of M in K 4.080 * [backup-simplify]: Simplify M into M 4.080 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.080 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.080 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.080 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.080 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.080 * [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))) 4.081 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 4.081 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 4.081 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.081 * [taylor]: Taking taylor expansion of 1/2 in m 4.081 * [backup-simplify]: Simplify 1/2 into 1/2 4.081 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.081 * [taylor]: Taking taylor expansion of (* m K) in m 4.081 * [taylor]: Taking taylor expansion of m in m 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [taylor]: Taking taylor expansion of K in m 4.081 * [backup-simplify]: Simplify K into K 4.081 * [backup-simplify]: Simplify (* 0 K) into 0 4.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.081 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.082 * [taylor]: Taking taylor expansion of 1/2 in m 4.082 * [backup-simplify]: Simplify 1/2 into 1/2 4.082 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.082 * [taylor]: Taking taylor expansion of (* K n) in m 4.082 * [taylor]: Taking taylor expansion of K in m 4.082 * [backup-simplify]: Simplify K into K 4.082 * [taylor]: Taking taylor expansion of n in m 4.082 * [backup-simplify]: Simplify n into n 4.082 * [backup-simplify]: Simplify (* K n) into (* K n) 4.082 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.082 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.082 * [taylor]: Taking taylor expansion of M in m 4.082 * [backup-simplify]: Simplify M into M 4.082 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.082 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.082 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.082 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.083 * [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))) 4.083 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 4.083 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 4.083 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.083 * [taylor]: Taking taylor expansion of 1/2 in n 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.083 * [taylor]: Taking taylor expansion of (* m K) in n 4.083 * [taylor]: Taking taylor expansion of m in n 4.083 * [backup-simplify]: Simplify m into m 4.083 * [taylor]: Taking taylor expansion of K in n 4.083 * [backup-simplify]: Simplify K into K 4.083 * [backup-simplify]: Simplify (* m K) into (* m K) 4.083 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.083 * [taylor]: Taking taylor expansion of 1/2 in n 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.083 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.083 * [taylor]: Taking taylor expansion of (* K n) in n 4.083 * [taylor]: Taking taylor expansion of K in n 4.083 * [backup-simplify]: Simplify K into K 4.083 * [taylor]: Taking taylor expansion of n in n 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (* K 0) into 0 4.084 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.084 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.084 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.084 * [taylor]: Taking taylor expansion of M in n 4.084 * [backup-simplify]: Simplify M into M 4.084 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.084 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.084 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.084 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.085 * [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))) 4.085 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 4.085 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 4.085 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.085 * [taylor]: Taking taylor expansion of 1/2 in M 4.085 * [backup-simplify]: Simplify 1/2 into 1/2 4.085 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.085 * [taylor]: Taking taylor expansion of (* m K) in M 4.085 * [taylor]: Taking taylor expansion of m in M 4.085 * [backup-simplify]: Simplify m into m 4.085 * [taylor]: Taking taylor expansion of K in M 4.085 * [backup-simplify]: Simplify K into K 4.085 * [backup-simplify]: Simplify (* m K) into (* m K) 4.085 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.085 * [taylor]: Taking taylor expansion of 1/2 in M 4.085 * [backup-simplify]: Simplify 1/2 into 1/2 4.085 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.086 * [taylor]: Taking taylor expansion of (* K n) in M 4.086 * [taylor]: Taking taylor expansion of K in M 4.086 * [backup-simplify]: Simplify K into K 4.086 * [taylor]: Taking taylor expansion of n in M 4.086 * [backup-simplify]: Simplify n into n 4.086 * [backup-simplify]: Simplify (* K n) into (* K n) 4.086 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.086 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.086 * [taylor]: Taking taylor expansion of M in M 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.087 * [backup-simplify]: Simplify (- 1) into -1 4.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.087 * [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))) 4.088 * [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))) 4.088 * [taylor]: Taking taylor expansion of 0 in m 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in n 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in M 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in n 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in M 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [taylor]: Taking taylor expansion of 0 in M 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [taylor]: Taking taylor expansion of 0 in m 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [taylor]: Taking taylor expansion of 0 in n 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [taylor]: Taking taylor expansion of 0 in M 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [taylor]: Taking taylor expansion of 0 in n 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [taylor]: Taking taylor expansion of 0 in M 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [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)) 4.090 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 4.090 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 4.090 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 4.090 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 4.090 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.090 * [taylor]: Taking taylor expansion of M in M 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.091 * [taylor]: Taking taylor expansion of 1/2 in M 4.091 * [backup-simplify]: Simplify 1/2 into 1/2 4.091 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.091 * [taylor]: Taking taylor expansion of (* m K) in M 4.091 * [taylor]: Taking taylor expansion of m in M 4.091 * [backup-simplify]: Simplify m into m 4.091 * [taylor]: Taking taylor expansion of K in M 4.091 * [backup-simplify]: Simplify K into K 4.091 * [backup-simplify]: Simplify (* m K) into (* m K) 4.091 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.091 * [taylor]: Taking taylor expansion of 1/2 in M 4.091 * [backup-simplify]: Simplify 1/2 into 1/2 4.091 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.091 * [taylor]: Taking taylor expansion of (* K n) in M 4.091 * [taylor]: Taking taylor expansion of K in M 4.091 * [backup-simplify]: Simplify K into K 4.091 * [taylor]: Taking taylor expansion of n in M 4.091 * [backup-simplify]: Simplify n into n 4.091 * [backup-simplify]: Simplify (* K n) into (* K n) 4.091 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.092 * [backup-simplify]: Simplify (+ 1 0) into 1 4.092 * [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)))))) 4.092 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 4.092 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 4.092 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.092 * [taylor]: Taking taylor expansion of M in n 4.093 * [backup-simplify]: Simplify M into M 4.093 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.093 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.093 * [taylor]: Taking taylor expansion of 1/2 in n 4.093 * [backup-simplify]: Simplify 1/2 into 1/2 4.093 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.093 * [taylor]: Taking taylor expansion of (* m K) in n 4.093 * [taylor]: Taking taylor expansion of m in n 4.093 * [backup-simplify]: Simplify m into m 4.093 * [taylor]: Taking taylor expansion of K in n 4.093 * [backup-simplify]: Simplify K into K 4.093 * [backup-simplify]: Simplify (* m K) into (* m K) 4.093 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.093 * [taylor]: Taking taylor expansion of 1/2 in n 4.093 * [backup-simplify]: Simplify 1/2 into 1/2 4.093 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.093 * [taylor]: Taking taylor expansion of (* K n) in n 4.093 * [taylor]: Taking taylor expansion of K in n 4.093 * [backup-simplify]: Simplify K into K 4.093 * [taylor]: Taking taylor expansion of n in n 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (* K 0) into 0 4.094 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.094 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.094 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.094 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.094 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.094 * [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)))))) 4.094 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 4.095 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.095 * [taylor]: Taking taylor expansion of M in m 4.095 * [backup-simplify]: Simplify M into M 4.095 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.095 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.095 * [taylor]: Taking taylor expansion of 1/2 in m 4.095 * [backup-simplify]: Simplify 1/2 into 1/2 4.095 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.095 * [taylor]: Taking taylor expansion of (* m K) in m 4.095 * [taylor]: Taking taylor expansion of m in m 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [taylor]: Taking taylor expansion of K in m 4.095 * [backup-simplify]: Simplify K into K 4.095 * [backup-simplify]: Simplify (* 0 K) into 0 4.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.096 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.096 * [taylor]: Taking taylor expansion of 1/2 in m 4.096 * [backup-simplify]: Simplify 1/2 into 1/2 4.096 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.096 * [taylor]: Taking taylor expansion of (* K n) in m 4.096 * [taylor]: Taking taylor expansion of K in m 4.096 * [backup-simplify]: Simplify K into K 4.096 * [taylor]: Taking taylor expansion of n in m 4.096 * [backup-simplify]: Simplify n into n 4.096 * [backup-simplify]: Simplify (* K n) into (* K n) 4.096 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.096 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.096 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.096 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.096 * [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)))))) 4.097 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 4.097 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 4.097 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.097 * [taylor]: Taking taylor expansion of M in K 4.097 * [backup-simplify]: Simplify M into M 4.097 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.097 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.097 * [taylor]: Taking taylor expansion of 1/2 in K 4.097 * [backup-simplify]: Simplify 1/2 into 1/2 4.097 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.097 * [taylor]: Taking taylor expansion of (* m K) in K 4.097 * [taylor]: Taking taylor expansion of m in K 4.097 * [backup-simplify]: Simplify m into m 4.097 * [taylor]: Taking taylor expansion of K in K 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (* m 0) into 0 4.098 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.098 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.098 * [taylor]: Taking taylor expansion of 1/2 in K 4.098 * [backup-simplify]: Simplify 1/2 into 1/2 4.098 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.098 * [taylor]: Taking taylor expansion of (* K n) in K 4.098 * [taylor]: Taking taylor expansion of K in K 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [taylor]: Taking taylor expansion of n in K 4.098 * [backup-simplify]: Simplify n into n 4.098 * [backup-simplify]: Simplify (* 0 n) into 0 4.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.098 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.098 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.099 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.099 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.099 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.099 * [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)))))) 4.099 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 4.099 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 4.099 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.099 * [taylor]: Taking taylor expansion of M in K 4.099 * [backup-simplify]: Simplify M into M 4.099 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.099 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.100 * [taylor]: Taking taylor expansion of 1/2 in K 4.100 * [backup-simplify]: Simplify 1/2 into 1/2 4.100 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.100 * [taylor]: Taking taylor expansion of (* m K) in K 4.100 * [taylor]: Taking taylor expansion of m in K 4.100 * [backup-simplify]: Simplify m into m 4.100 * [taylor]: Taking taylor expansion of K in K 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (* m 0) into 0 4.100 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.100 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.100 * [taylor]: Taking taylor expansion of 1/2 in K 4.100 * [backup-simplify]: Simplify 1/2 into 1/2 4.100 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.100 * [taylor]: Taking taylor expansion of (* K n) in K 4.100 * [taylor]: Taking taylor expansion of K in K 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of n in K 4.101 * [backup-simplify]: Simplify n into n 4.101 * [backup-simplify]: Simplify (* 0 n) into 0 4.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.101 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.101 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.101 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.101 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.102 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.102 * [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)))))) 4.102 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 4.102 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 4.102 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.102 * [taylor]: Taking taylor expansion of M in m 4.102 * [backup-simplify]: Simplify M into M 4.102 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.102 * [taylor]: Taking taylor expansion of 1/2 in m 4.102 * [backup-simplify]: Simplify 1/2 into 1/2 4.102 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.102 * [taylor]: Taking taylor expansion of (* m K) in m 4.102 * [taylor]: Taking taylor expansion of m in m 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [taylor]: Taking taylor expansion of K in m 4.102 * [backup-simplify]: Simplify K into K 4.103 * [backup-simplify]: Simplify (* 0 K) into 0 4.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.103 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.103 * [taylor]: Taking taylor expansion of 1/2 in m 4.103 * [backup-simplify]: Simplify 1/2 into 1/2 4.103 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.103 * [taylor]: Taking taylor expansion of (* K n) in m 4.103 * [taylor]: Taking taylor expansion of K in m 4.103 * [backup-simplify]: Simplify K into K 4.103 * [taylor]: Taking taylor expansion of n in m 4.103 * [backup-simplify]: Simplify n into n 4.103 * [backup-simplify]: Simplify (* K n) into (* K n) 4.103 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.104 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.104 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.104 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.104 * [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)))))) 4.104 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 4.104 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.104 * [taylor]: Taking taylor expansion of M in n 4.104 * [backup-simplify]: Simplify M into M 4.104 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.104 * [taylor]: Taking taylor expansion of 1/2 in n 4.104 * [backup-simplify]: Simplify 1/2 into 1/2 4.104 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.104 * [taylor]: Taking taylor expansion of (* m K) in n 4.104 * [taylor]: Taking taylor expansion of m in n 4.104 * [backup-simplify]: Simplify m into m 4.104 * [taylor]: Taking taylor expansion of K in n 4.105 * [backup-simplify]: Simplify K into K 4.105 * [backup-simplify]: Simplify (* m K) into (* m K) 4.105 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.105 * [taylor]: Taking taylor expansion of 1/2 in n 4.105 * [backup-simplify]: Simplify 1/2 into 1/2 4.105 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.105 * [taylor]: Taking taylor expansion of (* K n) in n 4.105 * [taylor]: Taking taylor expansion of K in n 4.105 * [backup-simplify]: Simplify K into K 4.105 * [taylor]: Taking taylor expansion of n in n 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [backup-simplify]: Simplify (* K 0) into 0 4.106 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.106 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.106 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.106 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.106 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.106 * [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)))))) 4.106 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 4.107 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.107 * [taylor]: Taking taylor expansion of M in M 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (/ 1 1) into 1 4.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.107 * [taylor]: Taking taylor expansion of 1/2 in M 4.107 * [backup-simplify]: Simplify 1/2 into 1/2 4.107 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.107 * [taylor]: Taking taylor expansion of (* m K) in M 4.107 * [taylor]: Taking taylor expansion of m in M 4.107 * [backup-simplify]: Simplify m into m 4.107 * [taylor]: Taking taylor expansion of K in M 4.107 * [backup-simplify]: Simplify K into K 4.107 * [backup-simplify]: Simplify (* m K) into (* m K) 4.107 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.108 * [taylor]: Taking taylor expansion of 1/2 in M 4.108 * [backup-simplify]: Simplify 1/2 into 1/2 4.108 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.108 * [taylor]: Taking taylor expansion of (* K n) in M 4.108 * [taylor]: Taking taylor expansion of K in M 4.108 * [backup-simplify]: Simplify K into K 4.108 * [taylor]: Taking taylor expansion of n in M 4.108 * [backup-simplify]: Simplify n into n 4.108 * [backup-simplify]: Simplify (* K n) into (* K n) 4.108 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.108 * [backup-simplify]: Simplify (+ 1 0) into 1 4.109 * [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)))))) 4.109 * [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)))))) 4.109 * [taylor]: Taking taylor expansion of 0 in m 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [taylor]: Taking taylor expansion of 0 in n 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [taylor]: Taking taylor expansion of 0 in M 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [taylor]: Taking taylor expansion of 0 in n 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [taylor]: Taking taylor expansion of 0 in M 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [taylor]: Taking taylor expansion of 0 in M 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [taylor]: Taking taylor expansion of 0 in m 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [taylor]: Taking taylor expansion of 0 in n 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [taylor]: Taking taylor expansion of 0 in M 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [taylor]: Taking taylor expansion of 0 in n 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [taylor]: Taking taylor expansion of 0 in M 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [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)) 4.111 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.111 * [backup-simplify]: Simplify (cbrt (cos (- (* K (/ (+ m n) 2)) M))) into (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) 4.111 * [approximate]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in (K m n M) around 0 4.111 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in M 4.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in M 4.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in M 4.111 * [taylor]: Taking taylor expansion of 1/3 in M 4.111 * [backup-simplify]: Simplify 1/3 into 1/3 4.111 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in M 4.111 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 4.111 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 4.111 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 4.111 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 4.111 * [taylor]: Taking taylor expansion of 1/2 in M 4.111 * [backup-simplify]: Simplify 1/2 into 1/2 4.111 * [taylor]: Taking taylor expansion of (* K n) in M 4.111 * [taylor]: Taking taylor expansion of K in M 4.111 * [backup-simplify]: Simplify K into K 4.111 * [taylor]: Taking taylor expansion of n in M 4.111 * [backup-simplify]: Simplify n into n 4.111 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 4.111 * [taylor]: Taking taylor expansion of 1/2 in M 4.111 * [backup-simplify]: Simplify 1/2 into 1/2 4.111 * [taylor]: Taking taylor expansion of (* K m) in M 4.112 * [taylor]: Taking taylor expansion of K in M 4.112 * [backup-simplify]: Simplify K into K 4.112 * [taylor]: Taking taylor expansion of m in M 4.112 * [backup-simplify]: Simplify m into m 4.112 * [taylor]: Taking taylor expansion of M in M 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (* K n) into (* K n) 4.112 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 4.112 * [backup-simplify]: Simplify (* K m) into (* K m) 4.112 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 4.112 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 4.113 * [backup-simplify]: Simplify (- 0) into 0 4.113 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 4.113 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 4.113 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 4.113 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 4.114 * [backup-simplify]: Simplify (* (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into 0 4.114 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (+ (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 4.114 * [backup-simplify]: Simplify (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) into (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) 4.115 * [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)))))) 4.115 * [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) 4.115 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in n 4.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in n 4.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in n 4.115 * [taylor]: Taking taylor expansion of 1/3 in n 4.115 * [backup-simplify]: Simplify 1/3 into 1/3 4.115 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in n 4.115 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 4.115 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 4.115 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 4.115 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 4.115 * [taylor]: Taking taylor expansion of 1/2 in n 4.115 * [backup-simplify]: Simplify 1/2 into 1/2 4.115 * [taylor]: Taking taylor expansion of (* K n) in n 4.115 * [taylor]: Taking taylor expansion of K in n 4.115 * [backup-simplify]: Simplify K into K 4.115 * [taylor]: Taking taylor expansion of n in n 4.115 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 4.116 * [taylor]: Taking taylor expansion of 1/2 in n 4.116 * [backup-simplify]: Simplify 1/2 into 1/2 4.116 * [taylor]: Taking taylor expansion of (* K m) in n 4.116 * [taylor]: Taking taylor expansion of K in n 4.116 * [backup-simplify]: Simplify K into K 4.116 * [taylor]: Taking taylor expansion of m in n 4.116 * [backup-simplify]: Simplify m into m 4.116 * [taylor]: Taking taylor expansion of M in n 4.116 * [backup-simplify]: Simplify M into M 4.116 * [backup-simplify]: Simplify (* K 0) into 0 4.116 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.116 * [backup-simplify]: Simplify (* K m) into (* K m) 4.116 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 4.117 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 4.117 * [backup-simplify]: Simplify (- M) into (- M) 4.117 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 4.117 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 4.117 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 4.117 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K m)) M)) 1) into (cos (- (* 1/2 (* K m)) M)) 4.117 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K m)) M)) 0) into 0 4.118 * [backup-simplify]: Simplify (- 0) into 0 4.118 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K m)) M)) 0) into (cos (- (* 1/2 (* K m)) M)) 4.118 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K m)) M))) into (log (cos (- (* 1/2 (* K m)) M))) 4.118 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) 4.118 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K m)) M))))) into (pow (cos (- (* 1/2 (* K m)) M)) 1/3) 4.119 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in m 4.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in m 4.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in m 4.119 * [taylor]: Taking taylor expansion of 1/3 in m 4.119 * [backup-simplify]: Simplify 1/3 into 1/3 4.119 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in m 4.119 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 4.119 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 4.119 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 4.119 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 4.119 * [taylor]: Taking taylor expansion of 1/2 in m 4.119 * [backup-simplify]: Simplify 1/2 into 1/2 4.119 * [taylor]: Taking taylor expansion of (* K n) in m 4.119 * [taylor]: Taking taylor expansion of K in m 4.119 * [backup-simplify]: Simplify K into K 4.119 * [taylor]: Taking taylor expansion of n in m 4.119 * [backup-simplify]: Simplify n into n 4.119 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 4.119 * [taylor]: Taking taylor expansion of 1/2 in m 4.119 * [backup-simplify]: Simplify 1/2 into 1/2 4.119 * [taylor]: Taking taylor expansion of (* K m) in m 4.119 * [taylor]: Taking taylor expansion of K in m 4.119 * [backup-simplify]: Simplify K into K 4.119 * [taylor]: Taking taylor expansion of m in m 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of M in m 4.119 * [backup-simplify]: Simplify M into M 4.119 * [backup-simplify]: Simplify (* K n) into (* K n) 4.119 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 4.120 * [backup-simplify]: Simplify (* K 0) into 0 4.120 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.120 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 4.120 * [backup-simplify]: Simplify (- M) into (- M) 4.120 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 4.120 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 4.121 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 4.121 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 4.121 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 4.122 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K n)) M))) into (log (cos (- (* 1/2 (* K n)) M))) 4.122 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) 4.122 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) into (pow (cos (- (* 1/2 (* K n)) M)) 1/3) 4.122 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in K 4.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in K 4.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in K 4.122 * [taylor]: Taking taylor expansion of 1/3 in K 4.122 * [backup-simplify]: Simplify 1/3 into 1/3 4.122 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in K 4.122 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 4.122 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 4.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 4.122 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 4.122 * [taylor]: Taking taylor expansion of 1/2 in K 4.122 * [backup-simplify]: Simplify 1/2 into 1/2 4.122 * [taylor]: Taking taylor expansion of (* K n) in K 4.122 * [taylor]: Taking taylor expansion of K in K 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [taylor]: Taking taylor expansion of n in K 4.123 * [backup-simplify]: Simplify n into n 4.123 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 4.123 * [taylor]: Taking taylor expansion of 1/2 in K 4.123 * [backup-simplify]: Simplify 1/2 into 1/2 4.123 * [taylor]: Taking taylor expansion of (* K m) in K 4.123 * [taylor]: Taking taylor expansion of K in K 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [taylor]: Taking taylor expansion of m in K 4.123 * [backup-simplify]: Simplify m into m 4.123 * [taylor]: Taking taylor expansion of M in K 4.123 * [backup-simplify]: Simplify M into M 4.123 * [backup-simplify]: Simplify (* 0 n) into 0 4.123 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.123 * [backup-simplify]: Simplify (* 0 m) into 0 4.124 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (- M) into (- M) 4.124 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.124 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.124 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.125 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.125 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.125 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.125 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.125 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.125 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in K 4.125 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in K 4.125 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in K 4.126 * [taylor]: Taking taylor expansion of 1/3 in K 4.126 * [backup-simplify]: Simplify 1/3 into 1/3 4.126 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in K 4.126 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 4.126 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 4.126 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 4.126 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 4.126 * [taylor]: Taking taylor expansion of 1/2 in K 4.126 * [backup-simplify]: Simplify 1/2 into 1/2 4.126 * [taylor]: Taking taylor expansion of (* K n) in K 4.126 * [taylor]: Taking taylor expansion of K in K 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [taylor]: Taking taylor expansion of n in K 4.126 * [backup-simplify]: Simplify n into n 4.126 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 4.126 * [taylor]: Taking taylor expansion of 1/2 in K 4.126 * [backup-simplify]: Simplify 1/2 into 1/2 4.126 * [taylor]: Taking taylor expansion of (* K m) in K 4.126 * [taylor]: Taking taylor expansion of K in K 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [taylor]: Taking taylor expansion of m in K 4.126 * [backup-simplify]: Simplify m into m 4.126 * [taylor]: Taking taylor expansion of M in K 4.126 * [backup-simplify]: Simplify M into M 4.126 * [backup-simplify]: Simplify (* 0 n) into 0 4.127 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.127 * [backup-simplify]: Simplify (* 0 m) into 0 4.127 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.128 * [backup-simplify]: Simplify (+ 0 0) into 0 4.128 * [backup-simplify]: Simplify (- M) into (- M) 4.128 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.128 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.128 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.128 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.128 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.128 * [backup-simplify]: Simplify (- 0) into 0 4.128 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.129 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.129 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.129 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.129 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in m 4.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m 4.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m 4.129 * [taylor]: Taking taylor expansion of 1/3 in m 4.129 * [backup-simplify]: Simplify 1/3 into 1/3 4.129 * [taylor]: Taking taylor expansion of (log (cos (- M))) in m 4.129 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.129 * [taylor]: Taking taylor expansion of (- M) in m 4.129 * [taylor]: Taking taylor expansion of M in m 4.129 * [backup-simplify]: Simplify M into M 4.129 * [backup-simplify]: Simplify (- M) into (- M) 4.129 * [backup-simplify]: Simplify (- M) into (- M) 4.129 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.129 * [backup-simplify]: Simplify (- M) into (- M) 4.129 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.129 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.130 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.130 * [backup-simplify]: Simplify (- 0) into 0 4.130 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.130 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.130 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.130 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.130 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n 4.130 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n 4.130 * [taylor]: Taking taylor expansion of 1/3 in n 4.130 * [backup-simplify]: Simplify 1/3 into 1/3 4.130 * [taylor]: Taking taylor expansion of (log (cos (- M))) in n 4.131 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.131 * [taylor]: Taking taylor expansion of (- M) in n 4.131 * [taylor]: Taking taylor expansion of M in n 4.131 * [backup-simplify]: Simplify M into M 4.131 * [backup-simplify]: Simplify (- M) into (- M) 4.131 * [backup-simplify]: Simplify (- M) into (- M) 4.131 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.131 * [backup-simplify]: Simplify (- M) into (- M) 4.131 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.131 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.131 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.131 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.132 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.132 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.132 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.132 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in M 4.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in M 4.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in M 4.132 * [taylor]: Taking taylor expansion of 1/3 in M 4.132 * [backup-simplify]: Simplify 1/3 into 1/3 4.132 * [taylor]: Taking taylor expansion of (log (cos (- M))) in M 4.132 * [taylor]: Taking taylor expansion of (cos (- M)) in M 4.132 * [taylor]: Taking taylor expansion of (- M) in M 4.132 * [taylor]: Taking taylor expansion of M in M 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (- 0) into 0 4.133 * [backup-simplify]: Simplify (- 1) into -1 4.133 * [backup-simplify]: Simplify (log 1) into 0 4.134 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.134 * [backup-simplify]: Simplify (+ 0) into 0 4.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 4.137 * [backup-simplify]: Simplify (- 1) into -1 4.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 4.141 * [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 4.142 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 4.142 * [backup-simplify]: Simplify (exp 0) into 1 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [backup-simplify]: Simplify (+ 0) into 0 4.143 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.143 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.144 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 4.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 4.145 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 4.145 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 4.145 * [backup-simplify]: Simplify (- 0) into 0 4.145 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 4.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 4.146 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 4.146 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 4.147 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 4.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M)))))) 4.148 * [backup-simplify]: Simplify (+ (* 1/3 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M))))))) (* 0 (log (cos (- M))))) into (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 4.149 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3))) 4.149 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3))) in m 4.149 * [taylor]: Taking taylor expansion of -1 in m 4.149 * [backup-simplify]: Simplify -1 into -1 4.149 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3)) in m 4.149 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) in m 4.149 * [taylor]: Taking taylor expansion of (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) in m 4.149 * [taylor]: Taking taylor expansion of 1/6 in m 4.149 * [backup-simplify]: Simplify 1/6 into 1/6 4.149 * [taylor]: Taking taylor expansion of (/ (* (sin (- M)) n) (cos (- M))) in m 4.149 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 4.149 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.149 * [taylor]: Taking taylor expansion of (- M) in m 4.149 * [taylor]: Taking taylor expansion of M in m 4.149 * [backup-simplify]: Simplify M into M 4.149 * [backup-simplify]: Simplify (- M) into (- M) 4.149 * [backup-simplify]: Simplify (- M) into (- M) 4.149 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.150 * [backup-simplify]: Simplify (- M) into (- M) 4.150 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.150 * [taylor]: Taking taylor expansion of n in m 4.150 * [backup-simplify]: Simplify n into n 4.150 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.150 * [taylor]: Taking taylor expansion of (- M) in m 4.150 * [taylor]: Taking taylor expansion of M in m 4.150 * [backup-simplify]: Simplify M into M 4.150 * [backup-simplify]: Simplify (- M) into (- M) 4.150 * [backup-simplify]: Simplify (- M) into (- M) 4.150 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.150 * [backup-simplify]: Simplify (- M) into (- M) 4.150 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.150 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.150 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.150 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.150 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 4.151 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.151 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.151 * [backup-simplify]: Simplify (- 0) into 0 4.152 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.152 * [backup-simplify]: Simplify (/ (* (sin (- M)) n) (cos (- M))) into (/ (* (sin (- M)) n) (cos (- M))) 4.152 * [taylor]: Taking taylor expansion of (* 1/6 (/ (* m (sin (- M))) (cos (- M)))) in m 4.152 * [taylor]: Taking taylor expansion of 1/6 in m 4.152 * [backup-simplify]: Simplify 1/6 into 1/6 4.152 * [taylor]: Taking taylor expansion of (/ (* m (sin (- M))) (cos (- M))) in m 4.152 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 4.152 * [taylor]: Taking taylor expansion of m in m 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.152 * [taylor]: Taking taylor expansion of (- M) in m 4.152 * [taylor]: Taking taylor expansion of M in m 4.152 * [backup-simplify]: Simplify M into M 4.152 * [backup-simplify]: Simplify (- M) into (- M) 4.152 * [backup-simplify]: Simplify (- M) into (- M) 4.152 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.152 * [backup-simplify]: Simplify (- M) into (- M) 4.152 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.152 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.152 * [taylor]: Taking taylor expansion of (- M) in m 4.152 * [taylor]: Taking taylor expansion of M in m 4.152 * [backup-simplify]: Simplify M into M 4.153 * [backup-simplify]: Simplify (- M) into (- M) 4.153 * [backup-simplify]: Simplify (- M) into (- M) 4.153 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.153 * [backup-simplify]: Simplify (- M) into (- M) 4.153 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.153 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.153 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.153 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.153 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 4.154 * [backup-simplify]: Simplify (+ 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 4.155 * [backup-simplify]: Simplify (- 0) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.156 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 4.157 * [backup-simplify]: Simplify (+ 0 0) into 0 4.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 4.157 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.157 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.158 * [backup-simplify]: Simplify (- 0) into 0 4.158 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.158 * [backup-simplify]: Simplify (/ (sin (- M)) (cos (- M))) into (/ (sin (- M)) (cos (- M))) 4.158 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in m 4.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m 4.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m 4.158 * [taylor]: Taking taylor expansion of 1/3 in m 4.158 * [backup-simplify]: Simplify 1/3 into 1/3 4.158 * [taylor]: Taking taylor expansion of (log (cos (- M))) in m 4.158 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.158 * [taylor]: Taking taylor expansion of (- M) in m 4.158 * [taylor]: Taking taylor expansion of M in m 4.158 * [backup-simplify]: Simplify M into M 4.158 * [backup-simplify]: Simplify (- M) into (- M) 4.158 * [backup-simplify]: Simplify (- M) into (- M) 4.159 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.159 * [backup-simplify]: Simplify (- M) into (- M) 4.159 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.159 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.159 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.159 * [backup-simplify]: Simplify (- 0) into 0 4.159 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.159 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.160 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.160 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.160 * [backup-simplify]: Simplify (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 4.160 * [backup-simplify]: Simplify (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 4.160 * [backup-simplify]: Simplify (* (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (pow (cos (- M)) 1/3)) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))) 4.161 * [backup-simplify]: Simplify (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n)))) into (* -1/6 (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) 4.161 * [taylor]: Taking taylor expansion of (* -1/6 (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in n 4.161 * [taylor]: Taking taylor expansion of -1/6 in n 4.161 * [backup-simplify]: Simplify -1/6 into -1/6 4.161 * [taylor]: Taking taylor expansion of (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in n 4.161 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 4.161 * [taylor]: Taking taylor expansion of (sin (- M)) in n 4.161 * [taylor]: Taking taylor expansion of (- M) in n 4.161 * [taylor]: Taking taylor expansion of M in n 4.161 * [backup-simplify]: Simplify M into M 4.161 * [backup-simplify]: Simplify (- M) into (- M) 4.161 * [backup-simplify]: Simplify (- M) into (- M) 4.161 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.161 * [backup-simplify]: Simplify (- M) into (- M) 4.161 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.161 * [taylor]: Taking taylor expansion of n in n 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n 4.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n 4.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n 4.162 * [taylor]: Taking taylor expansion of 1/3 in n 4.162 * [backup-simplify]: Simplify 1/3 into 1/3 4.162 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n 4.162 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n 4.162 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in n 4.162 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.162 * [taylor]: Taking taylor expansion of (- M) in n 4.162 * [taylor]: Taking taylor expansion of M in n 4.162 * [backup-simplify]: Simplify M into M 4.162 * [backup-simplify]: Simplify (- M) into (- M) 4.162 * [backup-simplify]: Simplify (- M) into (- M) 4.162 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.162 * [backup-simplify]: Simplify (- M) into (- M) 4.162 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.162 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.162 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.163 * [backup-simplify]: Simplify (- 0) into 0 4.163 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.163 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 4.163 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 4.163 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 4.163 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 4.164 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 4.164 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.164 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.164 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.164 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.164 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into 0 4.165 * [backup-simplify]: Simplify (* -1/6 0) into 0 4.165 * [taylor]: Taking taylor expansion of 0 in M 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (+ 0) into 0 4.166 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.167 * [backup-simplify]: Simplify (- 0) into 0 4.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.168 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 4.168 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 4.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 4.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.171 * [taylor]: Taking taylor expansion of 0 in n 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [taylor]: Taking taylor expansion of 0 in M 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (+ 0) into 0 4.172 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.173 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 4.175 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 4.176 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.176 * [taylor]: Taking taylor expansion of 0 in M 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 4.179 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 4.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 4.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 4.184 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [backup-simplify]: Simplify (- 0) into 0 4.184 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.186 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 4.186 * [backup-simplify]: Simplify (- 0) into 0 4.187 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 4.189 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/2 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (* 1/2 (* m n)) (* 1/4 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))))) 4.192 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/2 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (* 1/2 (* m n)) (* 1/4 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) (+ (* 0 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M))))))) (* 0 (log (cos (- M)))))) into (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (* m n)) (* 1/24 (pow n 2)))))))) 4.197 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (* m n)) (* 1/24 (pow n 2)))))))) 1) 1)))) into (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) 4.197 * [taylor]: Taking taylor expansion of (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) in m 4.197 * [taylor]: Taking taylor expansion of -1 in m 4.197 * [backup-simplify]: Simplify -1 into -1 4.197 * [taylor]: Taking taylor expansion of (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))))) in m 4.197 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in m 4.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m 4.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m 4.197 * [taylor]: Taking taylor expansion of 1/3 in m 4.197 * [backup-simplify]: Simplify 1/3 into 1/3 4.197 * [taylor]: Taking taylor expansion of (log (cos (- M))) in m 4.197 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.197 * [taylor]: Taking taylor expansion of (- M) in m 4.197 * [taylor]: Taking taylor expansion of M in m 4.197 * [backup-simplify]: Simplify M into M 4.197 * [backup-simplify]: Simplify (- M) into (- M) 4.197 * [backup-simplify]: Simplify (- M) into (- M) 4.197 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.197 * [backup-simplify]: Simplify (- M) into (- M) 4.197 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.197 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.198 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.198 * [backup-simplify]: Simplify (- 0) into 0 4.198 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.198 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.198 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.198 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.199 * [taylor]: Taking taylor expansion of (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))) in m 4.199 * [taylor]: Taking taylor expansion of (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) in m 4.199 * [taylor]: Taking taylor expansion of 1/18 in m 4.199 * [backup-simplify]: Simplify 1/18 into 1/18 4.199 * [taylor]: Taking taylor expansion of (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2)) in m 4.199 * [taylor]: Taking taylor expansion of (* m (* (pow (sin (- M)) 2) n)) in m 4.199 * [taylor]: Taking taylor expansion of m in m 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.199 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) n) in m 4.199 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in m 4.199 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.199 * [taylor]: Taking taylor expansion of (- M) in m 4.199 * [taylor]: Taking taylor expansion of M in m 4.199 * [backup-simplify]: Simplify M into M 4.199 * [backup-simplify]: Simplify (- M) into (- M) 4.199 * [backup-simplify]: Simplify (- M) into (- M) 4.199 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.199 * [backup-simplify]: Simplify (- M) into (- M) 4.199 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.199 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.199 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.199 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.199 * [taylor]: Taking taylor expansion of n in m 4.199 * [backup-simplify]: Simplify n into n 4.199 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in m 4.199 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.199 * [taylor]: Taking taylor expansion of (- M) in m 4.199 * [taylor]: Taking taylor expansion of M in m 4.200 * [backup-simplify]: Simplify M into M 4.200 * [backup-simplify]: Simplify (- M) into (- M) 4.200 * [backup-simplify]: Simplify (- M) into (- M) 4.200 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.200 * [backup-simplify]: Simplify (- M) into (- M) 4.200 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.200 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.200 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.200 * [backup-simplify]: Simplify (- 0) into 0 4.200 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.201 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 4.201 * [backup-simplify]: Simplify (* (pow (sin (- M)) 2) n) into (* (pow (sin (- M)) 2) n) 4.201 * [backup-simplify]: Simplify (* 0 (* (pow (sin (- M)) 2) n)) into 0 4.201 * [backup-simplify]: Simplify (+ 0) into 0 4.202 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 4.202 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.204 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 4.204 * [backup-simplify]: Simplify (+ 0 0) into 0 4.204 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 (sin (- M)))) into 0 4.204 * [backup-simplify]: Simplify (+ (* (pow (sin (- M)) 2) 0) (* 0 n)) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (pow (sin (- M)) 2) n))) into (* (pow (sin (- M)) 2) n) 4.205 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 4.205 * [backup-simplify]: Simplify (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) 4.205 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))) in m 4.205 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in m 4.205 * [taylor]: Taking taylor expansion of 1/36 in m 4.205 * [backup-simplify]: Simplify 1/36 into 1/36 4.205 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in m 4.205 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in m 4.205 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in m 4.205 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.205 * [taylor]: Taking taylor expansion of (- M) in m 4.205 * [taylor]: Taking taylor expansion of M in m 4.205 * [backup-simplify]: Simplify M into M 4.205 * [backup-simplify]: Simplify (- M) into (- M) 4.205 * [backup-simplify]: Simplify (- M) into (- M) 4.205 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.206 * [backup-simplify]: Simplify (- M) into (- M) 4.206 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.206 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.206 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.206 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.206 * [taylor]: Taking taylor expansion of (pow n 2) in m 4.206 * [taylor]: Taking taylor expansion of n in m 4.206 * [backup-simplify]: Simplify n into n 4.206 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in m 4.206 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.206 * [taylor]: Taking taylor expansion of (- M) in m 4.206 * [taylor]: Taking taylor expansion of M in m 4.206 * [backup-simplify]: Simplify M into M 4.206 * [backup-simplify]: Simplify (- M) into (- M) 4.206 * [backup-simplify]: Simplify (- M) into (- M) 4.206 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.206 * [backup-simplify]: Simplify (- M) into (- M) 4.206 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.206 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.206 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.207 * [backup-simplify]: Simplify (- 0) into 0 4.207 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.207 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 4.207 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.207 * [backup-simplify]: Simplify (* (pow (sin (- M)) 2) (pow n 2)) into (* (pow (sin (- M)) 2) (pow n 2)) 4.207 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 4.208 * [backup-simplify]: Simplify (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) 4.208 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))) in m 4.208 * [taylor]: Taking taylor expansion of (* 1/24 (pow n 2)) in m 4.208 * [taylor]: Taking taylor expansion of 1/24 in m 4.208 * [backup-simplify]: Simplify 1/24 into 1/24 4.208 * [taylor]: Taking taylor expansion of (pow n 2) in m 4.208 * [taylor]: Taking taylor expansion of n in m 4.208 * [backup-simplify]: Simplify n into n 4.208 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))) in m 4.208 * [taylor]: Taking taylor expansion of (* 1/24 (pow m 2)) in m 4.208 * [taylor]: Taking taylor expansion of 1/24 in m 4.208 * [backup-simplify]: Simplify 1/24 into 1/24 4.208 * [taylor]: Taking taylor expansion of (pow m 2) in m 4.208 * [taylor]: Taking taylor expansion of m in m 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))) in m 4.208 * [taylor]: Taking taylor expansion of (* 1/12 (* m n)) in m 4.208 * [taylor]: Taking taylor expansion of 1/12 in m 4.208 * [backup-simplify]: Simplify 1/12 into 1/12 4.208 * [taylor]: Taking taylor expansion of (* m n) in m 4.208 * [taylor]: Taking taylor expansion of m in m 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of n in m 4.208 * [backup-simplify]: Simplify n into n 4.208 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) in m 4.208 * [taylor]: Taking taylor expansion of 1/36 in m 4.208 * [backup-simplify]: Simplify 1/36 into 1/36 4.208 * [taylor]: Taking taylor expansion of (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) in m 4.208 * [taylor]: Taking taylor expansion of (* (pow m 2) (pow (sin (- M)) 2)) in m 4.208 * [taylor]: Taking taylor expansion of (pow m 2) in m 4.208 * [taylor]: Taking taylor expansion of m in m 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in m 4.209 * [taylor]: Taking taylor expansion of (sin (- M)) in m 4.209 * [taylor]: Taking taylor expansion of (- M) in m 4.209 * [taylor]: Taking taylor expansion of M in m 4.209 * [backup-simplify]: Simplify M into M 4.209 * [backup-simplify]: Simplify (- M) into (- M) 4.209 * [backup-simplify]: Simplify (- M) into (- M) 4.209 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.209 * [backup-simplify]: Simplify (- M) into (- M) 4.209 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.209 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.209 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.209 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.209 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in m 4.209 * [taylor]: Taking taylor expansion of (cos (- M)) in m 4.209 * [taylor]: Taking taylor expansion of (- M) in m 4.209 * [taylor]: Taking taylor expansion of M in m 4.209 * [backup-simplify]: Simplify M into M 4.209 * [backup-simplify]: Simplify (- M) into (- M) 4.209 * [backup-simplify]: Simplify (- M) into (- M) 4.209 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.209 * [backup-simplify]: Simplify (- M) into (- M) 4.209 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.210 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.210 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.210 * [backup-simplify]: Simplify (- 0) into 0 4.210 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.211 * [backup-simplify]: Simplify (* 1 1) into 1 4.211 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 4.211 * [backup-simplify]: Simplify (* 1 (pow (sin (- M)) 2)) into (pow (sin (- M)) 2) 4.211 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 4.211 * [backup-simplify]: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) 4.211 * [backup-simplify]: Simplify (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) into (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) 4.212 * [backup-simplify]: Simplify (* n n) into (pow n 2) 4.212 * [backup-simplify]: Simplify (* 1/24 (pow n 2)) into (* 1/24 (pow n 2)) 4.212 * [backup-simplify]: Simplify (* 0 n) into 0 4.212 * [backup-simplify]: Simplify (* 1/12 0) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [backup-simplify]: Simplify (+ (* 1/24 (pow n 2)) 0) into (* 1/24 (pow n 2)) 4.214 * [backup-simplify]: Simplify (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) 4.214 * [backup-simplify]: Simplify (+ 0 (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) 4.215 * [backup-simplify]: Simplify (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3)) 4.215 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) into (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) 4.215 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) in n 4.216 * [taylor]: Taking taylor expansion of -1 in n 4.216 * [backup-simplify]: Simplify -1 into -1 4.216 * [taylor]: Taking taylor expansion of (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3)) in n 4.216 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) in n 4.216 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in n 4.216 * [taylor]: Taking taylor expansion of 1/36 in n 4.216 * [backup-simplify]: Simplify 1/36 into 1/36 4.216 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in n 4.216 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in n 4.216 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in n 4.216 * [taylor]: Taking taylor expansion of (sin (- M)) in n 4.216 * [taylor]: Taking taylor expansion of (- M) in n 4.216 * [taylor]: Taking taylor expansion of M in n 4.216 * [backup-simplify]: Simplify M into M 4.216 * [backup-simplify]: Simplify (- M) into (- M) 4.216 * [backup-simplify]: Simplify (- M) into (- M) 4.216 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.216 * [backup-simplify]: Simplify (- M) into (- M) 4.216 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.216 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.216 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.216 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.216 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.216 * [taylor]: Taking taylor expansion of n in n 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in n 4.217 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.217 * [taylor]: Taking taylor expansion of (- M) in n 4.217 * [taylor]: Taking taylor expansion of M in n 4.217 * [backup-simplify]: Simplify M into M 4.217 * [backup-simplify]: Simplify (- M) into (- M) 4.217 * [backup-simplify]: Simplify (- M) into (- M) 4.217 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.217 * [backup-simplify]: Simplify (- M) into (- M) 4.217 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.217 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.217 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.218 * [backup-simplify]: Simplify (- 0) into 0 4.218 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.218 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 4.218 * [backup-simplify]: Simplify (* 1 1) into 1 4.218 * [backup-simplify]: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) 4.218 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 4.219 * [backup-simplify]: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) 4.219 * [taylor]: Taking taylor expansion of (* 1/24 (pow n 2)) in n 4.219 * [taylor]: Taking taylor expansion of 1/24 in n 4.219 * [backup-simplify]: Simplify 1/24 into 1/24 4.219 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.219 * [taylor]: Taking taylor expansion of n in n 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in n 4.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n 4.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n 4.219 * [taylor]: Taking taylor expansion of 1/3 in n 4.219 * [backup-simplify]: Simplify 1/3 into 1/3 4.219 * [taylor]: Taking taylor expansion of (log (cos (- M))) in n 4.219 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.219 * [taylor]: Taking taylor expansion of (- M) in n 4.219 * [taylor]: Taking taylor expansion of M in n 4.219 * [backup-simplify]: Simplify M into M 4.219 * [backup-simplify]: Simplify (- M) into (- M) 4.219 * [backup-simplify]: Simplify (- M) into (- M) 4.219 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.219 * [backup-simplify]: Simplify (- M) into (- M) 4.219 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.219 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.219 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.219 * [backup-simplify]: Simplify (- 0) into 0 4.219 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.219 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 4.220 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 4.220 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 4.220 * [backup-simplify]: Simplify (+ 0) into 0 4.220 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.220 * [backup-simplify]: Simplify (- 0) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.221 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 4.221 * [backup-simplify]: Simplify (- 0) into 0 4.222 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 4.225 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ 0) into 0 4.226 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 4.226 * [backup-simplify]: Simplify (- 0) into 0 4.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.226 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 4.227 * [backup-simplify]: Simplify (+ 0 0) into 0 4.227 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 4.227 * [backup-simplify]: Simplify (+ 0) into 0 4.227 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 4.228 * [backup-simplify]: Simplify (- 0) into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.228 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 4.229 * [backup-simplify]: Simplify (- 0) into 0 4.229 * [backup-simplify]: Simplify (+ 0 0) into 0 4.229 * [backup-simplify]: Simplify (- (/ 0 (cos (- M))) (+ (* (/ (* (sin (- M)) n) (cos (- M))) (/ 0 (cos (- M)))))) into 0 4.229 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ (* (sin (- M)) n) (cos (- M))))) into 0 4.229 * [backup-simplify]: Simplify (* 1/6 (/ (sin (- M)) (cos (- M)))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) 4.230 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ (sin (- M)) (cos (- M))))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) 4.230 * [backup-simplify]: Simplify (+ (* (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) (* (* 1/6 (/ (sin (- M)) (cos (- M)))) (pow (cos (- M)) 1/3))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) 4.230 * [backup-simplify]: Simplify (+ (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) (* 0 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))))) into (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) 4.230 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) in n 4.230 * [taylor]: Taking taylor expansion of (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in n 4.230 * [taylor]: Taking taylor expansion of 1/6 in n 4.230 * [backup-simplify]: Simplify 1/6 into 1/6 4.230 * [taylor]: Taking taylor expansion of (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in n 4.230 * [taylor]: Taking taylor expansion of (sin (- M)) in n 4.230 * [taylor]: Taking taylor expansion of (- M) in n 4.230 * [taylor]: Taking taylor expansion of M in n 4.230 * [backup-simplify]: Simplify M into M 4.230 * [backup-simplify]: Simplify (- M) into (- M) 4.230 * [backup-simplify]: Simplify (- M) into (- M) 4.230 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.230 * [backup-simplify]: Simplify (- M) into (- M) 4.230 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.230 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n 4.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n 4.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n 4.231 * [taylor]: Taking taylor expansion of 1/3 in n 4.231 * [backup-simplify]: Simplify 1/3 into 1/3 4.231 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n 4.231 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n 4.231 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in n 4.231 * [taylor]: Taking taylor expansion of (cos (- M)) in n 4.231 * [taylor]: Taking taylor expansion of (- M) in n 4.231 * [taylor]: Taking taylor expansion of M in n 4.231 * [backup-simplify]: Simplify M into M 4.231 * [backup-simplify]: Simplify (- M) into (- M) 4.231 * [backup-simplify]: Simplify (- M) into (- M) 4.231 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 4.231 * [backup-simplify]: Simplify (- M) into (- M) 4.231 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 4.231 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 4.231 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 4.231 * [backup-simplify]: Simplify (- 0) into 0 4.231 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 4.231 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 4.231 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 4.231 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 4.231 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 4.232 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 4.232 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 4.232 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 4.232 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 4.232 * [backup-simplify]: Simplify (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) 4.232 * [backup-simplify]: Simplify (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) 4.232 * [backup-simplify]: Simplify (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) into (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) 4.232 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) in M 4.232 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) in M 4.232 * [taylor]: Taking taylor expansion of 1/6 in M 4.232 * [backup-simplify]: Simplify 1/6 into 1/6 4.232 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) in M 4.232 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in M 4.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in M 4.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in M 4.232 * [taylor]: Taking taylor expansion of 1/3 in M 4.232 * [backup-simplify]: Simplify 1/3 into 1/3 4.232 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in M 4.232 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in M 4.232 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in M 4.232 * [taylor]: Taking taylor expansion of (cos (- M)) in M 4.232 * [taylor]: Taking taylor expansion of (- M) in M 4.232 * [taylor]: Taking taylor expansion of M in M 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.233 * [backup-simplify]: Simplify (- 0) into 0 4.233 * [backup-simplify]: Simplify (- 1) into -1 4.233 * [backup-simplify]: Simplify (* 1 1) into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.234 * [backup-simplify]: Simplify (log 1) into 0 4.234 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0) into 0 4.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.236 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 4.236 * [backup-simplify]: Simplify (- 1) into -1 4.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 4.237 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 4.240 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 4.240 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 4.240 * [backup-simplify]: Simplify (exp 0) into 1 4.240 * [taylor]: Taking taylor expansion of (sin (- M)) in M 4.240 * [taylor]: Taking taylor expansion of (- M) in M 4.240 * [taylor]: Taking taylor expansion of M in M 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (- 0) into 0 4.241 * [backup-simplify]: Simplify (- 1) into -1 4.241 * [backup-simplify]: Simplify (* 1 0) into 0 4.241 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.241 * [backup-simplify]: Simplify (- 0) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (- 0) into 0 4.242 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.243 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 4.243 * [backup-simplify]: Simplify (- 0) into 0 4.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.245 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- M)) 1)))) 2) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- M)))))) into 0 4.249 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.249 * [taylor]: Taking taylor expansion of 0 in n 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [taylor]: Taking taylor expansion of 0 in M 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (cbrt (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M)))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 4.250 * [approximate]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in (K m n M) around 0 4.250 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M 4.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M 4.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M 4.250 * [taylor]: Taking taylor expansion of 1/3 in M 4.250 * [backup-simplify]: Simplify 1/3 into 1/3 4.250 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in M 4.250 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 4.250 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 4.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.250 * [taylor]: Taking taylor expansion of 1/2 in M 4.250 * [backup-simplify]: Simplify 1/2 into 1/2 4.250 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.250 * [taylor]: Taking taylor expansion of (* m K) in M 4.250 * [taylor]: Taking taylor expansion of m in M 4.250 * [backup-simplify]: Simplify m into m 4.250 * [taylor]: Taking taylor expansion of K in M 4.250 * [backup-simplify]: Simplify K into K 4.250 * [backup-simplify]: Simplify (* m K) into (* m K) 4.251 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.251 * [taylor]: Taking taylor expansion of 1/2 in M 4.251 * [backup-simplify]: Simplify 1/2 into 1/2 4.251 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.251 * [taylor]: Taking taylor expansion of (* K n) in M 4.251 * [taylor]: Taking taylor expansion of K in M 4.251 * [backup-simplify]: Simplify K into K 4.251 * [taylor]: Taking taylor expansion of n in M 4.251 * [backup-simplify]: Simplify n into n 4.251 * [backup-simplify]: Simplify (* K n) into (* K n) 4.251 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.251 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.251 * [taylor]: Taking taylor expansion of M in M 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.252 * [backup-simplify]: Simplify (/ 1 1) into 1 4.252 * [backup-simplify]: Simplify (- 1) into -1 4.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.253 * [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))) 4.253 * [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)))) 4.254 * [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))))) 4.254 * [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) 4.254 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n 4.254 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n 4.254 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n 4.254 * [taylor]: Taking taylor expansion of 1/3 in n 4.254 * [backup-simplify]: Simplify 1/3 into 1/3 4.254 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n 4.254 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 4.254 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 4.254 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.254 * [taylor]: Taking taylor expansion of 1/2 in n 4.254 * [backup-simplify]: Simplify 1/2 into 1/2 4.254 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.254 * [taylor]: Taking taylor expansion of (* m K) in n 4.255 * [taylor]: Taking taylor expansion of m in n 4.255 * [backup-simplify]: Simplify m into m 4.255 * [taylor]: Taking taylor expansion of K in n 4.255 * [backup-simplify]: Simplify K into K 4.255 * [backup-simplify]: Simplify (* m K) into (* m K) 4.255 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.255 * [taylor]: Taking taylor expansion of 1/2 in n 4.255 * [backup-simplify]: Simplify 1/2 into 1/2 4.255 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.255 * [taylor]: Taking taylor expansion of (* K n) in n 4.255 * [taylor]: Taking taylor expansion of K in n 4.255 * [backup-simplify]: Simplify K into K 4.255 * [taylor]: Taking taylor expansion of n in n 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (* K 0) into 0 4.256 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.256 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.256 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.256 * [taylor]: Taking taylor expansion of M in n 4.256 * [backup-simplify]: Simplify M into M 4.256 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.256 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.256 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.256 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.256 * [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))) 4.257 * [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)))) 4.257 * [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))))) 4.257 * [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) 4.257 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m 4.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m 4.257 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m 4.257 * [taylor]: Taking taylor expansion of 1/3 in m 4.258 * [backup-simplify]: Simplify 1/3 into 1/3 4.258 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in m 4.258 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 4.258 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 4.258 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.258 * [taylor]: Taking taylor expansion of 1/2 in m 4.258 * [backup-simplify]: Simplify 1/2 into 1/2 4.258 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.258 * [taylor]: Taking taylor expansion of (* m K) in m 4.258 * [taylor]: Taking taylor expansion of m in m 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of K in m 4.258 * [backup-simplify]: Simplify K into K 4.258 * [backup-simplify]: Simplify (* 0 K) into 0 4.258 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.259 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.259 * [taylor]: Taking taylor expansion of 1/2 in m 4.259 * [backup-simplify]: Simplify 1/2 into 1/2 4.259 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.259 * [taylor]: Taking taylor expansion of (* K n) in m 4.259 * [taylor]: Taking taylor expansion of K in m 4.259 * [backup-simplify]: Simplify K into K 4.259 * [taylor]: Taking taylor expansion of n in m 4.259 * [backup-simplify]: Simplify n into n 4.259 * [backup-simplify]: Simplify (* K n) into (* K n) 4.259 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.259 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.259 * [taylor]: Taking taylor expansion of M in m 4.259 * [backup-simplify]: Simplify M into M 4.259 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.259 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.259 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.259 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.260 * [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))) 4.260 * [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)))) 4.260 * [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))))) 4.261 * [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) 4.261 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in K 4.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in K 4.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in K 4.261 * [taylor]: Taking taylor expansion of 1/3 in K 4.261 * [backup-simplify]: Simplify 1/3 into 1/3 4.261 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in K 4.261 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 4.261 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 4.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.261 * [taylor]: Taking taylor expansion of 1/2 in K 4.261 * [backup-simplify]: Simplify 1/2 into 1/2 4.261 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.261 * [taylor]: Taking taylor expansion of (* m K) in K 4.261 * [taylor]: Taking taylor expansion of m in K 4.261 * [backup-simplify]: Simplify m into m 4.261 * [taylor]: Taking taylor expansion of K in K 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (* m 0) into 0 4.262 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.262 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.262 * [taylor]: Taking taylor expansion of 1/2 in K 4.262 * [backup-simplify]: Simplify 1/2 into 1/2 4.262 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.262 * [taylor]: Taking taylor expansion of (* K n) in K 4.262 * [taylor]: Taking taylor expansion of K in K 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [taylor]: Taking taylor expansion of n in K 4.262 * [backup-simplify]: Simplify n into n 4.262 * [backup-simplify]: Simplify (* 0 n) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.263 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.263 * [taylor]: Taking taylor expansion of M in K 4.263 * [backup-simplify]: Simplify M into M 4.263 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.263 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.263 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.263 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.263 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.264 * [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))) 4.264 * [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)))) 4.264 * [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))))) 4.265 * [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) 4.265 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in K 4.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in K 4.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in K 4.265 * [taylor]: Taking taylor expansion of 1/3 in K 4.265 * [backup-simplify]: Simplify 1/3 into 1/3 4.265 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in K 4.265 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 4.265 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 4.265 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.265 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.265 * [taylor]: Taking taylor expansion of 1/2 in K 4.265 * [backup-simplify]: Simplify 1/2 into 1/2 4.265 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.265 * [taylor]: Taking taylor expansion of (* m K) in K 4.265 * [taylor]: Taking taylor expansion of m in K 4.265 * [backup-simplify]: Simplify m into m 4.265 * [taylor]: Taking taylor expansion of K in K 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (* m 0) into 0 4.266 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.266 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.266 * [taylor]: Taking taylor expansion of 1/2 in K 4.266 * [backup-simplify]: Simplify 1/2 into 1/2 4.266 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.266 * [taylor]: Taking taylor expansion of (* K n) in K 4.266 * [taylor]: Taking taylor expansion of K in K 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [taylor]: Taking taylor expansion of n in K 4.266 * [backup-simplify]: Simplify n into n 4.266 * [backup-simplify]: Simplify (* 0 n) into 0 4.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.267 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.267 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.267 * [taylor]: Taking taylor expansion of M in K 4.267 * [backup-simplify]: Simplify M into M 4.267 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.267 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.267 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.267 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.267 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.268 * [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))) 4.268 * [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)))) 4.268 * [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))))) 4.269 * [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) 4.269 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m 4.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m 4.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m 4.269 * [taylor]: Taking taylor expansion of 1/3 in m 4.269 * [backup-simplify]: Simplify 1/3 into 1/3 4.269 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in m 4.269 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 4.269 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 4.269 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.269 * [taylor]: Taking taylor expansion of 1/2 in m 4.269 * [backup-simplify]: Simplify 1/2 into 1/2 4.269 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.269 * [taylor]: Taking taylor expansion of (* m K) in m 4.269 * [taylor]: Taking taylor expansion of m in m 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.270 * [taylor]: Taking taylor expansion of K in m 4.270 * [backup-simplify]: Simplify K into K 4.270 * [backup-simplify]: Simplify (* 0 K) into 0 4.270 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.270 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.270 * [taylor]: Taking taylor expansion of 1/2 in m 4.270 * [backup-simplify]: Simplify 1/2 into 1/2 4.270 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.270 * [taylor]: Taking taylor expansion of (* K n) in m 4.270 * [taylor]: Taking taylor expansion of K in m 4.270 * [backup-simplify]: Simplify K into K 4.270 * [taylor]: Taking taylor expansion of n in m 4.270 * [backup-simplify]: Simplify n into n 4.270 * [backup-simplify]: Simplify (* K n) into (* K n) 4.271 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.271 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.271 * [taylor]: Taking taylor expansion of M in m 4.271 * [backup-simplify]: Simplify M into M 4.271 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.271 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.271 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.271 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.271 * [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))) 4.272 * [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)))) 4.272 * [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))))) 4.272 * [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) 4.272 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n 4.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n 4.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n 4.273 * [taylor]: Taking taylor expansion of 1/3 in n 4.273 * [backup-simplify]: Simplify 1/3 into 1/3 4.273 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n 4.273 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 4.273 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 4.273 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.273 * [taylor]: Taking taylor expansion of 1/2 in n 4.273 * [backup-simplify]: Simplify 1/2 into 1/2 4.273 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.273 * [taylor]: Taking taylor expansion of (* m K) in n 4.273 * [taylor]: Taking taylor expansion of m in n 4.273 * [backup-simplify]: Simplify m into m 4.273 * [taylor]: Taking taylor expansion of K in n 4.273 * [backup-simplify]: Simplify K into K 4.273 * [backup-simplify]: Simplify (* m K) into (* m K) 4.273 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.273 * [taylor]: Taking taylor expansion of 1/2 in n 4.273 * [backup-simplify]: Simplify 1/2 into 1/2 4.273 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.273 * [taylor]: Taking taylor expansion of (* K n) in n 4.273 * [taylor]: Taking taylor expansion of K in n 4.273 * [backup-simplify]: Simplify K into K 4.273 * [taylor]: Taking taylor expansion of n in n 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (* K 0) into 0 4.274 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.274 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.274 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.274 * [taylor]: Taking taylor expansion of M in n 4.274 * [backup-simplify]: Simplify M into M 4.274 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.274 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.274 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.274 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 4.275 * [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))) 4.275 * [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)))) 4.275 * [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))))) 4.276 * [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) 4.276 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M 4.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M 4.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M 4.276 * [taylor]: Taking taylor expansion of 1/3 in M 4.276 * [backup-simplify]: Simplify 1/3 into 1/3 4.276 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in M 4.276 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 4.276 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 4.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.276 * [taylor]: Taking taylor expansion of 1/2 in M 4.276 * [backup-simplify]: Simplify 1/2 into 1/2 4.276 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.276 * [taylor]: Taking taylor expansion of (* m K) in M 4.276 * [taylor]: Taking taylor expansion of m in M 4.276 * [backup-simplify]: Simplify m into m 4.276 * [taylor]: Taking taylor expansion of K in M 4.276 * [backup-simplify]: Simplify K into K 4.276 * [backup-simplify]: Simplify (* m K) into (* m K) 4.277 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.277 * [taylor]: Taking taylor expansion of 1/2 in M 4.277 * [backup-simplify]: Simplify 1/2 into 1/2 4.277 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.277 * [taylor]: Taking taylor expansion of (* K n) in M 4.277 * [taylor]: Taking taylor expansion of K in M 4.277 * [backup-simplify]: Simplify K into K 4.277 * [taylor]: Taking taylor expansion of n in M 4.277 * [backup-simplify]: Simplify n into n 4.277 * [backup-simplify]: Simplify (* K n) into (* K n) 4.277 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.277 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.277 * [taylor]: Taking taylor expansion of M in M 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.278 * [backup-simplify]: Simplify (- 1) into -1 4.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.279 * [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))) 4.279 * [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)))) 4.279 * [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))))) 4.280 * [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) 4.280 * [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) 4.281 * [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 4.282 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 4.283 * [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 4.283 * [taylor]: Taking taylor expansion of 0 in m 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [taylor]: Taking taylor expansion of 0 in n 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [taylor]: Taking taylor expansion of 0 in M 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.285 * [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 4.285 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 4.286 * [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 4.286 * [taylor]: Taking taylor expansion of 0 in n 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [taylor]: Taking taylor expansion of 0 in M 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.288 * [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 4.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 4.289 * [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 4.289 * [taylor]: Taking taylor expansion of 0 in M 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.290 * [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 4.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 4.292 * [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 4.292 * [backup-simplify]: Simplify 0 into 0 4.294 * [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 4.295 * [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 4.297 * [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 4.297 * [taylor]: Taking taylor expansion of 0 in m 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [taylor]: Taking taylor expansion of 0 in n 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [taylor]: Taking taylor expansion of 0 in M 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [taylor]: Taking taylor expansion of 0 in n 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [taylor]: Taking taylor expansion of 0 in M 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [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) 4.298 * [backup-simplify]: Simplify (cbrt (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 4.298 * [approximate]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in (K m n M) around 0 4.298 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M 4.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M 4.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M 4.298 * [taylor]: Taking taylor expansion of 1/3 in M 4.298 * [backup-simplify]: Simplify 1/3 into 1/3 4.298 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M 4.298 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 4.298 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 4.299 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.299 * [taylor]: Taking taylor expansion of M in M 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ 1 1) into 1 4.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.299 * [taylor]: Taking taylor expansion of 1/2 in M 4.299 * [backup-simplify]: Simplify 1/2 into 1/2 4.299 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.299 * [taylor]: Taking taylor expansion of (* m K) in M 4.299 * [taylor]: Taking taylor expansion of m in M 4.299 * [backup-simplify]: Simplify m into m 4.299 * [taylor]: Taking taylor expansion of K in M 4.299 * [backup-simplify]: Simplify K into K 4.299 * [backup-simplify]: Simplify (* m K) into (* m K) 4.299 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.299 * [taylor]: Taking taylor expansion of 1/2 in M 4.299 * [backup-simplify]: Simplify 1/2 into 1/2 4.300 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.300 * [taylor]: Taking taylor expansion of (* K n) in M 4.300 * [taylor]: Taking taylor expansion of K in M 4.300 * [backup-simplify]: Simplify K into K 4.300 * [taylor]: Taking taylor expansion of n in M 4.300 * [backup-simplify]: Simplify n into n 4.300 * [backup-simplify]: Simplify (* K n) into (* K n) 4.300 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.300 * [backup-simplify]: Simplify (+ 1 0) into 1 4.301 * [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)))))) 4.301 * [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))))))) 4.301 * [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)))))))) 4.302 * [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) 4.302 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n 4.302 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n 4.302 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n 4.302 * [taylor]: Taking taylor expansion of 1/3 in n 4.302 * [backup-simplify]: Simplify 1/3 into 1/3 4.302 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in n 4.302 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 4.302 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 4.302 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.302 * [taylor]: Taking taylor expansion of M in n 4.302 * [backup-simplify]: Simplify M into M 4.302 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.302 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.302 * [taylor]: Taking taylor expansion of 1/2 in n 4.302 * [backup-simplify]: Simplify 1/2 into 1/2 4.302 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.302 * [taylor]: Taking taylor expansion of (* m K) in n 4.302 * [taylor]: Taking taylor expansion of m in n 4.302 * [backup-simplify]: Simplify m into m 4.302 * [taylor]: Taking taylor expansion of K in n 4.302 * [backup-simplify]: Simplify K into K 4.302 * [backup-simplify]: Simplify (* m K) into (* m K) 4.302 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.302 * [taylor]: Taking taylor expansion of 1/2 in n 4.302 * [backup-simplify]: Simplify 1/2 into 1/2 4.302 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.302 * [taylor]: Taking taylor expansion of (* K n) in n 4.302 * [taylor]: Taking taylor expansion of K in n 4.302 * [backup-simplify]: Simplify K into K 4.302 * [taylor]: Taking taylor expansion of n in n 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (* K 0) into 0 4.303 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.303 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.303 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.303 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.303 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.303 * [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)))))) 4.304 * [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))))))) 4.304 * [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)))))))) 4.304 * [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) 4.304 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m 4.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m 4.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m 4.305 * [taylor]: Taking taylor expansion of 1/3 in m 4.305 * [backup-simplify]: Simplify 1/3 into 1/3 4.305 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m 4.305 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 4.305 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 4.305 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.305 * [taylor]: Taking taylor expansion of M in m 4.305 * [backup-simplify]: Simplify M into M 4.305 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.305 * [taylor]: Taking taylor expansion of 1/2 in m 4.305 * [backup-simplify]: Simplify 1/2 into 1/2 4.305 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.305 * [taylor]: Taking taylor expansion of (* m K) in m 4.305 * [taylor]: Taking taylor expansion of m in m 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [taylor]: Taking taylor expansion of K in m 4.305 * [backup-simplify]: Simplify K into K 4.305 * [backup-simplify]: Simplify (* 0 K) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.306 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.306 * [taylor]: Taking taylor expansion of 1/2 in m 4.306 * [backup-simplify]: Simplify 1/2 into 1/2 4.306 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.306 * [taylor]: Taking taylor expansion of (* K n) in m 4.306 * [taylor]: Taking taylor expansion of K in m 4.306 * [backup-simplify]: Simplify K into K 4.306 * [taylor]: Taking taylor expansion of n in m 4.306 * [backup-simplify]: Simplify n into n 4.306 * [backup-simplify]: Simplify (* K n) into (* K n) 4.306 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.306 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.306 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.306 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.306 * [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)))))) 4.307 * [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))))))) 4.307 * [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)))))))) 4.307 * [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) 4.307 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in K 4.307 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in K 4.307 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in K 4.307 * [taylor]: Taking taylor expansion of 1/3 in K 4.307 * [backup-simplify]: Simplify 1/3 into 1/3 4.307 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in K 4.307 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 4.307 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 4.307 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.307 * [taylor]: Taking taylor expansion of M in K 4.307 * [backup-simplify]: Simplify M into M 4.307 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.307 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.307 * [taylor]: Taking taylor expansion of 1/2 in K 4.307 * [backup-simplify]: Simplify 1/2 into 1/2 4.307 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.307 * [taylor]: Taking taylor expansion of (* m K) in K 4.307 * [taylor]: Taking taylor expansion of m in K 4.307 * [backup-simplify]: Simplify m into m 4.307 * [taylor]: Taking taylor expansion of K in K 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (* m 0) into 0 4.308 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.308 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.308 * [taylor]: Taking taylor expansion of 1/2 in K 4.308 * [backup-simplify]: Simplify 1/2 into 1/2 4.308 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.308 * [taylor]: Taking taylor expansion of (* K n) in K 4.308 * [taylor]: Taking taylor expansion of K in K 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [taylor]: Taking taylor expansion of n in K 4.308 * [backup-simplify]: Simplify n into n 4.308 * [backup-simplify]: Simplify (* 0 n) into 0 4.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.308 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.308 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.308 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.308 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.309 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.309 * [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)))))) 4.309 * [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))))))) 4.309 * [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)))))))) 4.309 * [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) 4.309 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in K 4.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in K 4.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in K 4.309 * [taylor]: Taking taylor expansion of 1/3 in K 4.309 * [backup-simplify]: Simplify 1/3 into 1/3 4.309 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in K 4.309 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 4.309 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 4.309 * [taylor]: Taking taylor expansion of (/ 1 M) in K 4.310 * [taylor]: Taking taylor expansion of M in K 4.310 * [backup-simplify]: Simplify M into M 4.310 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 4.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 4.310 * [taylor]: Taking taylor expansion of 1/2 in K 4.310 * [backup-simplify]: Simplify 1/2 into 1/2 4.310 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 4.310 * [taylor]: Taking taylor expansion of (* m K) in K 4.310 * [taylor]: Taking taylor expansion of m in K 4.310 * [backup-simplify]: Simplify m into m 4.310 * [taylor]: Taking taylor expansion of K in K 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (* m 0) into 0 4.310 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 4.310 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 4.310 * [taylor]: Taking taylor expansion of 1/2 in K 4.310 * [backup-simplify]: Simplify 1/2 into 1/2 4.310 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 4.310 * [taylor]: Taking taylor expansion of (* K n) in K 4.310 * [taylor]: Taking taylor expansion of K in K 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of n in K 4.310 * [backup-simplify]: Simplify n into n 4.310 * [backup-simplify]: Simplify (* 0 n) into 0 4.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 4.311 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.311 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 4.311 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.311 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.311 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 4.311 * [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)))))) 4.311 * [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))))))) 4.311 * [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)))))))) 4.312 * [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) 4.312 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m 4.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m 4.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m 4.312 * [taylor]: Taking taylor expansion of 1/3 in m 4.312 * [backup-simplify]: Simplify 1/3 into 1/3 4.312 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m 4.312 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 4.312 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 4.312 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.312 * [taylor]: Taking taylor expansion of M in m 4.312 * [backup-simplify]: Simplify M into M 4.312 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 4.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 4.312 * [taylor]: Taking taylor expansion of 1/2 in m 4.312 * [backup-simplify]: Simplify 1/2 into 1/2 4.312 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 4.312 * [taylor]: Taking taylor expansion of (* m K) in m 4.312 * [taylor]: Taking taylor expansion of m in m 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of K in m 4.312 * [backup-simplify]: Simplify K into K 4.312 * [backup-simplify]: Simplify (* 0 K) into 0 4.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 4.312 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 4.312 * [taylor]: Taking taylor expansion of 1/2 in m 4.312 * [backup-simplify]: Simplify 1/2 into 1/2 4.312 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 4.312 * [taylor]: Taking taylor expansion of (* K n) in m 4.312 * [taylor]: Taking taylor expansion of K in m 4.312 * [backup-simplify]: Simplify K into K 4.312 * [taylor]: Taking taylor expansion of n in m 4.312 * [backup-simplify]: Simplify n into n 4.313 * [backup-simplify]: Simplify (* K n) into (* K n) 4.313 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.313 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.313 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 4.313 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.313 * [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)))))) 4.313 * [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))))))) 4.313 * [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)))))))) 4.313 * [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) 4.313 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n 4.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n 4.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n 4.314 * [taylor]: Taking taylor expansion of 1/3 in n 4.314 * [backup-simplify]: Simplify 1/3 into 1/3 4.314 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in n 4.314 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 4.314 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 4.314 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.314 * [taylor]: Taking taylor expansion of M in n 4.314 * [backup-simplify]: Simplify M into M 4.314 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.314 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 4.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 4.314 * [taylor]: Taking taylor expansion of 1/2 in n 4.314 * [backup-simplify]: Simplify 1/2 into 1/2 4.314 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 4.314 * [taylor]: Taking taylor expansion of (* m K) in n 4.314 * [taylor]: Taking taylor expansion of m in n 4.314 * [backup-simplify]: Simplify m into m 4.314 * [taylor]: Taking taylor expansion of K in n 4.314 * [backup-simplify]: Simplify K into K 4.314 * [backup-simplify]: Simplify (* m K) into (* m K) 4.314 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 4.314 * [taylor]: Taking taylor expansion of 1/2 in n 4.314 * [backup-simplify]: Simplify 1/2 into 1/2 4.314 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 4.314 * [taylor]: Taking taylor expansion of (* K n) in n 4.314 * [taylor]: Taking taylor expansion of K in n 4.314 * [backup-simplify]: Simplify K into K 4.314 * [taylor]: Taking taylor expansion of n in n 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (* K 0) into 0 4.314 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 4.314 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 4.314 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 4.315 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 4.315 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 4.315 * [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)))))) 4.315 * [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))))))) 4.315 * [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)))))))) 4.315 * [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) 4.315 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M 4.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M 4.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M 4.315 * [taylor]: Taking taylor expansion of 1/3 in M 4.315 * [backup-simplify]: Simplify 1/3 into 1/3 4.315 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M 4.315 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 4.315 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 4.316 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.316 * [taylor]: Taking taylor expansion of M in M 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (/ 1 1) into 1 4.316 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 4.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 4.316 * [taylor]: Taking taylor expansion of 1/2 in M 4.316 * [backup-simplify]: Simplify 1/2 into 1/2 4.316 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 4.316 * [taylor]: Taking taylor expansion of (* m K) in M 4.316 * [taylor]: Taking taylor expansion of m in M 4.316 * [backup-simplify]: Simplify m into m 4.316 * [taylor]: Taking taylor expansion of K in M 4.316 * [backup-simplify]: Simplify K into K 4.316 * [backup-simplify]: Simplify (* m K) into (* m K) 4.316 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 4.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 4.316 * [taylor]: Taking taylor expansion of 1/2 in M 4.316 * [backup-simplify]: Simplify 1/2 into 1/2 4.316 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 4.316 * [taylor]: Taking taylor expansion of (* K n) in M 4.316 * [taylor]: Taking taylor expansion of K in M 4.316 * [backup-simplify]: Simplify K into K 4.316 * [taylor]: Taking taylor expansion of n in M 4.316 * [backup-simplify]: Simplify n into n 4.316 * [backup-simplify]: Simplify (* K n) into (* K n) 4.316 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 4.317 * [backup-simplify]: Simplify (+ 1 0) into 1 4.317 * [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)))))) 4.317 * [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))))))) 4.317 * [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)))))))) 4.317 * [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) 4.317 * [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) 4.318 * [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 4.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 4.319 * [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 4.319 * [taylor]: Taking taylor expansion of 0 in m 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [taylor]: Taking taylor expansion of 0 in n 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [taylor]: Taking taylor expansion of 0 in M 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [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 4.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 4.321 * [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 4.321 * [taylor]: Taking taylor expansion of 0 in n 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [taylor]: Taking taylor expansion of 0 in M 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.322 * [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 4.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 4.323 * [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 4.323 * [taylor]: Taking taylor expansion of 0 in M 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.324 * [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 4.324 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 4.325 * [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 4.325 * [backup-simplify]: Simplify 0 into 0 4.326 * [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 4.327 * [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 4.328 * [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 4.328 * [taylor]: Taking taylor expansion of 0 in m 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [taylor]: Taking taylor expansion of 0 in n 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [taylor]: Taking taylor expansion of 0 in M 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [taylor]: Taking taylor expansion of 0 in n 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [taylor]: Taking taylor expansion of 0 in M 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 0 into 0 4.329 * [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) 4.329 * * * [progress]: simplifying candidates 4.329 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 9 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 4.329 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 4.330 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 26 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 32 / 74 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 4.330 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 4.330 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 39 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 4.331 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 4.331 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 61 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 4.332 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 4.332 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 4.334 * [simplify]: Simplifying: (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (log1p (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (log (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (exp (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (sqrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (sqrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt 1) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (* (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (sqrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (sqrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 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) 4.336 * * [simplify]: iteration 1: (89 enodes) 4.352 * * [simplify]: iteration 2: (143 enodes) 4.375 * * [simplify]: iteration 3: (205 enodes) 4.405 * * [simplify]: iteration 4: (337 enodes) 4.492 * * [simplify]: iteration 5: (584 enodes) 4.649 * * [simplify]: iteration 6: (999 enodes) 5.246 * * [simplify]: iteration 7: (1966 enodes) 7.217 * * [simplify]: Extracting #0: cost 27 inf + 0 7.218 * * [simplify]: Extracting #1: cost 246 inf + 2 7.223 * * [simplify]: Extracting #2: cost 707 inf + 12 7.231 * * [simplify]: Extracting #3: cost 698 inf + 2959 7.242 * * [simplify]: Extracting #4: cost 651 inf + 11857 7.296 * * [simplify]: Extracting #5: cost 373 inf + 209315 7.399 * * [simplify]: Extracting #6: cost 56 inf + 498752 7.521 * * [simplify]: Extracting #7: cost 4 inf + 551654 7.627 * * [simplify]: Extracting #8: cost 0 inf + 555456 7.720 * [simplify]: Simplified to: (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (log1p (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (log (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (exp (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))))) (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (sqrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (sqrt (cos (- (* (/ (+ m n) 2) K) M)))) 1 (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M))))) (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cos (- (* (/ (+ m n) 2) K) M)) (sqrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (real->posit16 (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) 1 (cos (- (* (* (+ m n) K) 1/2) M)) (cos (- (* (* (+ m n) K) 1/2) M)) 1 (cos (- (* (* (+ m n) K) 1/2) M)) (cos (- (* (* (+ m n) K) 1/2) M)) 1 (cos (- (* (* (+ m n) K) 1/2) M)) (cos (- (* (* (+ m n) K) 1/2) M)) 1 (cbrt (cos (- (* (* (+ m n) K) 1/2) M))) (cbrt (cos (- (* (* (+ m n) K) 1/2) M))) 7.733 * * * [progress]: adding candidates to table 8.306 * * [progress]: iteration 4 / 4 8.306 * * * [progress]: picking best candidate 8.348 * * * * [pick]: Picked # 8.348 * * * [progress]: localizing error 8.404 * * * [progress]: generating rewritten candidates 8.404 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1) 8.438 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 8.494 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 8.543 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 8.554 * * * [progress]: generating series expansions 8.554 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1) 8.555 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.555 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 8.555 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.555 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.555 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.555 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.555 * [taylor]: Taking taylor expansion of 1/2 in M 8.555 * [backup-simplify]: Simplify 1/2 into 1/2 8.555 * [taylor]: Taking taylor expansion of (* K n) in M 8.555 * [taylor]: Taking taylor expansion of K in M 8.555 * [backup-simplify]: Simplify K into K 8.555 * [taylor]: Taking taylor expansion of n in M 8.555 * [backup-simplify]: Simplify n into n 8.555 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.555 * [taylor]: Taking taylor expansion of 1/2 in M 8.555 * [backup-simplify]: Simplify 1/2 into 1/2 8.555 * [taylor]: Taking taylor expansion of (* K m) in M 8.555 * [taylor]: Taking taylor expansion of K in M 8.555 * [backup-simplify]: Simplify K into K 8.555 * [taylor]: Taking taylor expansion of m in M 8.555 * [backup-simplify]: Simplify m into m 8.555 * [taylor]: Taking taylor expansion of M in M 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (* K n) into (* K n) 8.555 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.555 * [backup-simplify]: Simplify (* K m) into (* K m) 8.555 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.555 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.556 * [backup-simplify]: Simplify (- 0) into 0 8.556 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.556 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.556 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.556 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.556 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.556 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.556 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.556 * [taylor]: Taking taylor expansion of 1/2 in n 8.556 * [backup-simplify]: Simplify 1/2 into 1/2 8.556 * [taylor]: Taking taylor expansion of (* K n) in n 8.556 * [taylor]: Taking taylor expansion of K in n 8.556 * [backup-simplify]: Simplify K into K 8.556 * [taylor]: Taking taylor expansion of n in n 8.556 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.557 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.557 * [taylor]: Taking taylor expansion of 1/2 in n 8.557 * [backup-simplify]: Simplify 1/2 into 1/2 8.557 * [taylor]: Taking taylor expansion of (* K m) in n 8.557 * [taylor]: Taking taylor expansion of K in n 8.557 * [backup-simplify]: Simplify K into K 8.557 * [taylor]: Taking taylor expansion of m in n 8.557 * [backup-simplify]: Simplify m into m 8.557 * [taylor]: Taking taylor expansion of M in n 8.557 * [backup-simplify]: Simplify M into M 8.557 * [backup-simplify]: Simplify (* K 0) into 0 8.557 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.557 * [backup-simplify]: Simplify (* K m) into (* K m) 8.557 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.557 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.557 * [backup-simplify]: Simplify (- M) into (- M) 8.557 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.557 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.557 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.557 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.557 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.558 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.558 * [taylor]: Taking taylor expansion of 1/2 in m 8.558 * [backup-simplify]: Simplify 1/2 into 1/2 8.558 * [taylor]: Taking taylor expansion of (* K n) in m 8.558 * [taylor]: Taking taylor expansion of K in m 8.558 * [backup-simplify]: Simplify K into K 8.558 * [taylor]: Taking taylor expansion of n in m 8.558 * [backup-simplify]: Simplify n into n 8.558 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.558 * [taylor]: Taking taylor expansion of 1/2 in m 8.558 * [backup-simplify]: Simplify 1/2 into 1/2 8.558 * [taylor]: Taking taylor expansion of (* K m) in m 8.558 * [taylor]: Taking taylor expansion of K in m 8.558 * [backup-simplify]: Simplify K into K 8.558 * [taylor]: Taking taylor expansion of m in m 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.558 * [taylor]: Taking taylor expansion of M in m 8.558 * [backup-simplify]: Simplify M into M 8.558 * [backup-simplify]: Simplify (* K n) into (* K n) 8.558 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.558 * [backup-simplify]: Simplify (* K 0) into 0 8.558 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.558 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.558 * [backup-simplify]: Simplify (- M) into (- M) 8.558 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.558 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.559 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.559 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.559 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.559 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.559 * [taylor]: Taking taylor expansion of 1/2 in K 8.559 * [backup-simplify]: Simplify 1/2 into 1/2 8.559 * [taylor]: Taking taylor expansion of (* K n) in K 8.559 * [taylor]: Taking taylor expansion of K in K 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [taylor]: Taking taylor expansion of n in K 8.559 * [backup-simplify]: Simplify n into n 8.559 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.559 * [taylor]: Taking taylor expansion of 1/2 in K 8.559 * [backup-simplify]: Simplify 1/2 into 1/2 8.559 * [taylor]: Taking taylor expansion of (* K m) in K 8.559 * [taylor]: Taking taylor expansion of K in K 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [taylor]: Taking taylor expansion of m in K 8.559 * [backup-simplify]: Simplify m into m 8.559 * [taylor]: Taking taylor expansion of M in K 8.559 * [backup-simplify]: Simplify M into M 8.559 * [backup-simplify]: Simplify (* 0 n) into 0 8.559 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.559 * [backup-simplify]: Simplify (* 0 m) into 0 8.560 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.560 * [backup-simplify]: Simplify (+ 0 0) into 0 8.560 * [backup-simplify]: Simplify (- M) into (- M) 8.560 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.560 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.560 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.560 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.560 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.560 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.560 * [taylor]: Taking taylor expansion of 1/2 in K 8.560 * [backup-simplify]: Simplify 1/2 into 1/2 8.560 * [taylor]: Taking taylor expansion of (* K n) in K 8.560 * [taylor]: Taking taylor expansion of K in K 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [taylor]: Taking taylor expansion of n in K 8.560 * [backup-simplify]: Simplify n into n 8.560 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.560 * [taylor]: Taking taylor expansion of 1/2 in K 8.560 * [backup-simplify]: Simplify 1/2 into 1/2 8.560 * [taylor]: Taking taylor expansion of (* K m) in K 8.560 * [taylor]: Taking taylor expansion of K in K 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [taylor]: Taking taylor expansion of m in K 8.560 * [backup-simplify]: Simplify m into m 8.560 * [taylor]: Taking taylor expansion of M in K 8.560 * [backup-simplify]: Simplify M into M 8.560 * [backup-simplify]: Simplify (* 0 n) into 0 8.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.561 * [backup-simplify]: Simplify (* 0 m) into 0 8.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.561 * [backup-simplify]: Simplify (+ 0 0) into 0 8.561 * [backup-simplify]: Simplify (- M) into (- M) 8.561 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.561 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.561 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.561 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.562 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.562 * [backup-simplify]: Simplify (- 0) into 0 8.562 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.562 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.562 * [taylor]: Taking taylor expansion of (- M) in m 8.562 * [taylor]: Taking taylor expansion of M in m 8.562 * [backup-simplify]: Simplify M into M 8.562 * [backup-simplify]: Simplify (- M) into (- M) 8.562 * [backup-simplify]: Simplify (- M) into (- M) 8.562 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.562 * [backup-simplify]: Simplify (- M) into (- M) 8.562 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.562 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.562 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.562 * [backup-simplify]: Simplify (- 0) into 0 8.562 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.562 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.562 * [taylor]: Taking taylor expansion of (- M) in n 8.562 * [taylor]: Taking taylor expansion of M in n 8.563 * [backup-simplify]: Simplify M into M 8.563 * [backup-simplify]: Simplify (- M) into (- M) 8.563 * [backup-simplify]: Simplify (- M) into (- M) 8.563 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.563 * [backup-simplify]: Simplify (- M) into (- M) 8.563 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.563 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.563 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.563 * [backup-simplify]: Simplify (- 0) into 0 8.563 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.563 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.563 * [taylor]: Taking taylor expansion of (- M) in M 8.563 * [taylor]: Taking taylor expansion of M in M 8.563 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify 1 into 1 8.563 * [backup-simplify]: Simplify (- 0) into 0 8.564 * [backup-simplify]: Simplify (- 1) into -1 8.564 * [backup-simplify]: Simplify 1 into 1 8.564 * [backup-simplify]: Simplify (+ 0) into 0 8.564 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.565 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 8.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 8.565 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 8.565 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 8.566 * [backup-simplify]: Simplify (- 0) into 0 8.566 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 8.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 8.566 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 8.566 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.567 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.567 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 8.567 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 8.567 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 8.567 * [taylor]: Taking taylor expansion of 1/2 in m 8.567 * [backup-simplify]: Simplify 1/2 into 1/2 8.567 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 8.567 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.567 * [taylor]: Taking taylor expansion of (- M) in m 8.567 * [taylor]: Taking taylor expansion of M in m 8.567 * [backup-simplify]: Simplify M into M 8.567 * [backup-simplify]: Simplify (- M) into (- M) 8.567 * [backup-simplify]: Simplify (- M) into (- M) 8.567 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.567 * [backup-simplify]: Simplify (- M) into (- M) 8.568 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.568 * [taylor]: Taking taylor expansion of n in m 8.568 * [backup-simplify]: Simplify n into n 8.568 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 8.568 * [taylor]: Taking taylor expansion of 1/2 in m 8.568 * [backup-simplify]: Simplify 1/2 into 1/2 8.568 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 8.568 * [taylor]: Taking taylor expansion of m in m 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.569 * [taylor]: Taking taylor expansion of (- M) in m 8.569 * [taylor]: Taking taylor expansion of M in m 8.569 * [backup-simplify]: Simplify M into M 8.569 * [backup-simplify]: Simplify (- M) into (- M) 8.569 * [backup-simplify]: Simplify (- M) into (- M) 8.569 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.569 * [backup-simplify]: Simplify (- M) into (- M) 8.569 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.569 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.569 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.569 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.569 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 8.569 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 8.569 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.569 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.569 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.569 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.570 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.570 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 8.570 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 8.570 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 8.570 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 8.570 * [taylor]: Taking taylor expansion of 1/2 in n 8.570 * [backup-simplify]: Simplify 1/2 into 1/2 8.570 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 8.570 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.570 * [taylor]: Taking taylor expansion of (- M) in n 8.570 * [taylor]: Taking taylor expansion of M in n 8.570 * [backup-simplify]: Simplify M into M 8.570 * [backup-simplify]: Simplify (- M) into (- M) 8.570 * [backup-simplify]: Simplify (- M) into (- M) 8.570 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.570 * [backup-simplify]: Simplify (- M) into (- M) 8.570 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.570 * [taylor]: Taking taylor expansion of n in n 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.570 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.570 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.570 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.570 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.571 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.571 * [backup-simplify]: Simplify (- 0) into 0 8.571 * [taylor]: Taking taylor expansion of 0 in M 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify (+ 0) into 0 8.572 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.572 * [backup-simplify]: Simplify (- 0) into 0 8.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.573 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.573 * [backup-simplify]: Simplify (- 0) into 0 8.573 * [backup-simplify]: Simplify (+ 0 0) into 0 8.573 * [taylor]: Taking taylor expansion of 0 in n 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [taylor]: Taking taylor expansion of 0 in M 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify (+ 0) into 0 8.574 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.574 * [backup-simplify]: Simplify (- 0) into 0 8.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.575 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.575 * [backup-simplify]: Simplify (- 0) into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.575 * [taylor]: Taking taylor expansion of 0 in M 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify (+ 0) into 0 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 8.577 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 8.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 8.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 8.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.579 * [backup-simplify]: Simplify (- 0) into 0 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.580 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 8.580 * [backup-simplify]: Simplify (- 0) into 0 8.581 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.581 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 8.581 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 8.581 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 8.581 * [taylor]: Taking taylor expansion of 1/8 in m 8.581 * [backup-simplify]: Simplify 1/8 into 1/8 8.581 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 8.581 * [taylor]: Taking taylor expansion of (pow m 2) in m 8.581 * [taylor]: Taking taylor expansion of m in m 8.581 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify 1 into 1 8.581 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.581 * [taylor]: Taking taylor expansion of (- M) in m 8.581 * [taylor]: Taking taylor expansion of M in m 8.581 * [backup-simplify]: Simplify M into M 8.581 * [backup-simplify]: Simplify (- M) into (- M) 8.581 * [backup-simplify]: Simplify (- M) into (- M) 8.581 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.581 * [backup-simplify]: Simplify (- M) into (- M) 8.581 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.581 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 8.581 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 8.581 * [taylor]: Taking taylor expansion of 1/8 in m 8.581 * [backup-simplify]: Simplify 1/8 into 1/8 8.581 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 8.581 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.581 * [taylor]: Taking taylor expansion of (- M) in m 8.581 * [taylor]: Taking taylor expansion of M in m 8.581 * [backup-simplify]: Simplify M into M 8.582 * [backup-simplify]: Simplify (- M) into (- M) 8.582 * [backup-simplify]: Simplify (- M) into (- M) 8.582 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.582 * [backup-simplify]: Simplify (- M) into (- M) 8.582 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.582 * [taylor]: Taking taylor expansion of (pow n 2) in m 8.582 * [taylor]: Taking taylor expansion of n in m 8.582 * [backup-simplify]: Simplify n into n 8.582 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 8.582 * [taylor]: Taking taylor expansion of 1/4 in m 8.582 * [backup-simplify]: Simplify 1/4 into 1/4 8.582 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 8.582 * [taylor]: Taking taylor expansion of m in m 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 8.582 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.582 * [taylor]: Taking taylor expansion of (- M) in m 8.582 * [taylor]: Taking taylor expansion of M in m 8.582 * [backup-simplify]: Simplify M into M 8.582 * [backup-simplify]: Simplify (- M) into (- M) 8.582 * [backup-simplify]: Simplify (- M) into (- M) 8.582 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.582 * [backup-simplify]: Simplify (- M) into (- M) 8.582 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.582 * [taylor]: Taking taylor expansion of n in m 8.582 * [backup-simplify]: Simplify n into n 8.582 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.582 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.582 * [backup-simplify]: Simplify (- 0) into 0 8.582 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.582 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.583 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 8.583 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.583 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.583 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.583 * [backup-simplify]: Simplify (- 0) into 0 8.583 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.583 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 8.583 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 8.584 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.584 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.584 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.584 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 8.584 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 8.584 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 8.584 * [taylor]: Taking taylor expansion of 1/8 in n 8.584 * [backup-simplify]: Simplify 1/8 into 1/8 8.584 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 8.584 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.584 * [taylor]: Taking taylor expansion of (- M) in n 8.585 * [taylor]: Taking taylor expansion of M in n 8.585 * [backup-simplify]: Simplify M into M 8.585 * [backup-simplify]: Simplify (- M) into (- M) 8.585 * [backup-simplify]: Simplify (- M) into (- M) 8.585 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.585 * [backup-simplify]: Simplify (- M) into (- M) 8.585 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.585 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.585 * [taylor]: Taking taylor expansion of n in n 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify 1 into 1 8.585 * [backup-simplify]: Simplify (+ 0) into 0 8.586 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.586 * [backup-simplify]: Simplify (- 0) into 0 8.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.587 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.588 * [backup-simplify]: Simplify (+ 0 0) into 0 8.588 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 8.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 8.589 * [backup-simplify]: Simplify (+ 0) into 0 8.589 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.591 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.592 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.592 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 8.593 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.593 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 8.593 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 8.593 * [taylor]: Taking taylor expansion of 1/2 in n 8.593 * [backup-simplify]: Simplify 1/2 into 1/2 8.593 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.593 * [taylor]: Taking taylor expansion of (- M) in n 8.593 * [taylor]: Taking taylor expansion of M in n 8.593 * [backup-simplify]: Simplify M into M 8.593 * [backup-simplify]: Simplify (- M) into (- M) 8.593 * [backup-simplify]: Simplify (- M) into (- M) 8.593 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.593 * [backup-simplify]: Simplify (- M) into (- M) 8.593 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.593 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.593 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.593 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.593 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 8.593 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.593 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.593 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.593 * [taylor]: Taking taylor expansion of 1/2 in M 8.593 * [backup-simplify]: Simplify 1/2 into 1/2 8.593 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.593 * [taylor]: Taking taylor expansion of (- M) in M 8.594 * [taylor]: Taking taylor expansion of M in M 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 1 into 1 8.594 * [backup-simplify]: Simplify (- 0) into 0 8.594 * [backup-simplify]: Simplify (- 1) into -1 8.595 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.595 * [backup-simplify]: Simplify (- 0) into 0 8.595 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify (- 0) into 0 8.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.597 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 8.597 * [backup-simplify]: Simplify (- 0) into 0 8.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.599 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 8.599 * [backup-simplify]: Simplify (- 0) into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [taylor]: Taking taylor expansion of 0 in n 8.599 * [backup-simplify]: Simplify 0 into 0 8.600 * [taylor]: Taking taylor expansion of 0 in M 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.600 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 8.600 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.600 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.600 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.600 * [taylor]: Taking taylor expansion of 1/2 in M 8.600 * [backup-simplify]: Simplify 1/2 into 1/2 8.600 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.600 * [taylor]: Taking taylor expansion of (* m K) in M 8.600 * [taylor]: Taking taylor expansion of m in M 8.600 * [backup-simplify]: Simplify m into m 8.600 * [taylor]: Taking taylor expansion of K in M 8.600 * [backup-simplify]: Simplify K into K 8.600 * [backup-simplify]: Simplify (* m K) into (* m K) 8.600 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.600 * [taylor]: Taking taylor expansion of 1/2 in M 8.600 * [backup-simplify]: Simplify 1/2 into 1/2 8.601 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.601 * [taylor]: Taking taylor expansion of (* K n) in M 8.601 * [taylor]: Taking taylor expansion of K in M 8.601 * [backup-simplify]: Simplify K into K 8.601 * [taylor]: Taking taylor expansion of n in M 8.601 * [backup-simplify]: Simplify n into n 8.601 * [backup-simplify]: Simplify (* K n) into (* K n) 8.601 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.601 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.601 * [taylor]: Taking taylor expansion of M in M 8.601 * [backup-simplify]: Simplify 0 into 0 8.601 * [backup-simplify]: Simplify 1 into 1 8.601 * [backup-simplify]: Simplify (/ 1 1) into 1 8.602 * [backup-simplify]: Simplify (- 1) into -1 8.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.602 * [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))) 8.602 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.602 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.602 * [taylor]: Taking taylor expansion of 1/2 in n 8.602 * [backup-simplify]: Simplify 1/2 into 1/2 8.602 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.603 * [taylor]: Taking taylor expansion of (* m K) in n 8.603 * [taylor]: Taking taylor expansion of m in n 8.603 * [backup-simplify]: Simplify m into m 8.603 * [taylor]: Taking taylor expansion of K in n 8.603 * [backup-simplify]: Simplify K into K 8.603 * [backup-simplify]: Simplify (* m K) into (* m K) 8.603 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.603 * [taylor]: Taking taylor expansion of 1/2 in n 8.603 * [backup-simplify]: Simplify 1/2 into 1/2 8.603 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.603 * [taylor]: Taking taylor expansion of (* K n) in n 8.603 * [taylor]: Taking taylor expansion of K in n 8.603 * [backup-simplify]: Simplify K into K 8.603 * [taylor]: Taking taylor expansion of n in n 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 1 into 1 8.603 * [backup-simplify]: Simplify (* K 0) into 0 8.603 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.603 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.603 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.604 * [taylor]: Taking taylor expansion of M in n 8.604 * [backup-simplify]: Simplify M into M 8.604 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.604 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.604 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.604 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.604 * [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))) 8.604 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.604 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.604 * [taylor]: Taking taylor expansion of 1/2 in m 8.604 * [backup-simplify]: Simplify 1/2 into 1/2 8.604 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.604 * [taylor]: Taking taylor expansion of (* m K) in m 8.604 * [taylor]: Taking taylor expansion of m in m 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of K in m 8.604 * [backup-simplify]: Simplify K into K 8.605 * [backup-simplify]: Simplify (* 0 K) into 0 8.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.605 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.605 * [taylor]: Taking taylor expansion of 1/2 in m 8.605 * [backup-simplify]: Simplify 1/2 into 1/2 8.605 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.605 * [taylor]: Taking taylor expansion of (* K n) in m 8.605 * [taylor]: Taking taylor expansion of K in m 8.605 * [backup-simplify]: Simplify K into K 8.605 * [taylor]: Taking taylor expansion of n in m 8.605 * [backup-simplify]: Simplify n into n 8.605 * [backup-simplify]: Simplify (* K n) into (* K n) 8.605 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.605 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.605 * [taylor]: Taking taylor expansion of M in m 8.605 * [backup-simplify]: Simplify M into M 8.605 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.605 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.606 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.606 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.606 * [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))) 8.606 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.606 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.606 * [taylor]: Taking taylor expansion of 1/2 in K 8.606 * [backup-simplify]: Simplify 1/2 into 1/2 8.606 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.606 * [taylor]: Taking taylor expansion of (* m K) in K 8.606 * [taylor]: Taking taylor expansion of m in K 8.606 * [backup-simplify]: Simplify m into m 8.606 * [taylor]: Taking taylor expansion of K in K 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (* m 0) into 0 8.607 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.607 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.607 * [taylor]: Taking taylor expansion of 1/2 in K 8.607 * [backup-simplify]: Simplify 1/2 into 1/2 8.607 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.607 * [taylor]: Taking taylor expansion of (* K n) in K 8.607 * [taylor]: Taking taylor expansion of K in K 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [taylor]: Taking taylor expansion of n in K 8.607 * [backup-simplify]: Simplify n into n 8.607 * [backup-simplify]: Simplify (* 0 n) into 0 8.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.608 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.608 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.608 * [taylor]: Taking taylor expansion of M in K 8.608 * [backup-simplify]: Simplify M into M 8.608 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.608 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.608 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.608 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.608 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.608 * [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))) 8.608 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.608 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.608 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.609 * [taylor]: Taking taylor expansion of 1/2 in K 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.609 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.609 * [taylor]: Taking taylor expansion of (* m K) in K 8.609 * [taylor]: Taking taylor expansion of m in K 8.609 * [backup-simplify]: Simplify m into m 8.609 * [taylor]: Taking taylor expansion of K in K 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [backup-simplify]: Simplify (* m 0) into 0 8.609 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.609 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.609 * [taylor]: Taking taylor expansion of 1/2 in K 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.609 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.609 * [taylor]: Taking taylor expansion of (* K n) in K 8.609 * [taylor]: Taking taylor expansion of K in K 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [taylor]: Taking taylor expansion of n in K 8.609 * [backup-simplify]: Simplify n into n 8.609 * [backup-simplify]: Simplify (* 0 n) into 0 8.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.610 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.610 * [taylor]: Taking taylor expansion of M in K 8.610 * [backup-simplify]: Simplify M into M 8.610 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.610 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.610 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.610 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.611 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.611 * [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))) 8.611 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.611 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.611 * [taylor]: Taking taylor expansion of 1/2 in m 8.611 * [backup-simplify]: Simplify 1/2 into 1/2 8.611 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.611 * [taylor]: Taking taylor expansion of (* m K) in m 8.611 * [taylor]: Taking taylor expansion of m in m 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.611 * [taylor]: Taking taylor expansion of K in m 8.611 * [backup-simplify]: Simplify K into K 8.611 * [backup-simplify]: Simplify (* 0 K) into 0 8.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.612 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.612 * [taylor]: Taking taylor expansion of 1/2 in m 8.612 * [backup-simplify]: Simplify 1/2 into 1/2 8.612 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.612 * [taylor]: Taking taylor expansion of (* K n) in m 8.612 * [taylor]: Taking taylor expansion of K in m 8.612 * [backup-simplify]: Simplify K into K 8.612 * [taylor]: Taking taylor expansion of n in m 8.612 * [backup-simplify]: Simplify n into n 8.612 * [backup-simplify]: Simplify (* K n) into (* K n) 8.612 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.612 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.612 * [taylor]: Taking taylor expansion of M in m 8.612 * [backup-simplify]: Simplify M into M 8.612 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.612 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.612 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.612 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.613 * [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))) 8.613 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.613 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.613 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.613 * [taylor]: Taking taylor expansion of 1/2 in n 8.613 * [backup-simplify]: Simplify 1/2 into 1/2 8.613 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.613 * [taylor]: Taking taylor expansion of (* m K) in n 8.613 * [taylor]: Taking taylor expansion of m in n 8.613 * [backup-simplify]: Simplify m into m 8.613 * [taylor]: Taking taylor expansion of K in n 8.613 * [backup-simplify]: Simplify K into K 8.613 * [backup-simplify]: Simplify (* m K) into (* m K) 8.613 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.613 * [taylor]: Taking taylor expansion of 1/2 in n 8.613 * [backup-simplify]: Simplify 1/2 into 1/2 8.613 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.613 * [taylor]: Taking taylor expansion of (* K n) in n 8.613 * [taylor]: Taking taylor expansion of K in n 8.613 * [backup-simplify]: Simplify K into K 8.613 * [taylor]: Taking taylor expansion of n in n 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (* K 0) into 0 8.614 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.614 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.614 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.614 * [taylor]: Taking taylor expansion of M in n 8.614 * [backup-simplify]: Simplify M into M 8.614 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.614 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.614 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.615 * [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))) 8.615 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.615 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.615 * [taylor]: Taking taylor expansion of 1/2 in M 8.615 * [backup-simplify]: Simplify 1/2 into 1/2 8.615 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.615 * [taylor]: Taking taylor expansion of (* m K) in M 8.615 * [taylor]: Taking taylor expansion of m in M 8.615 * [backup-simplify]: Simplify m into m 8.615 * [taylor]: Taking taylor expansion of K in M 8.615 * [backup-simplify]: Simplify K into K 8.615 * [backup-simplify]: Simplify (* m K) into (* m K) 8.615 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.615 * [taylor]: Taking taylor expansion of 1/2 in M 8.615 * [backup-simplify]: Simplify 1/2 into 1/2 8.615 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.615 * [taylor]: Taking taylor expansion of (* K n) in M 8.615 * [taylor]: Taking taylor expansion of K in M 8.615 * [backup-simplify]: Simplify K into K 8.615 * [taylor]: Taking taylor expansion of n in M 8.615 * [backup-simplify]: Simplify n into n 8.615 * [backup-simplify]: Simplify (* K n) into (* K n) 8.615 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.615 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.615 * [taylor]: Taking taylor expansion of M in M 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (/ 1 1) into 1 8.616 * [backup-simplify]: Simplify (- 1) into -1 8.617 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.617 * [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))) 8.617 * [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))) 8.617 * [taylor]: Taking taylor expansion of 0 in m 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [taylor]: Taking taylor expansion of 0 in n 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [taylor]: Taking taylor expansion of 0 in M 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [taylor]: Taking taylor expansion of 0 in n 8.617 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in M 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in M 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in m 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in n 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in M 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in n 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [taylor]: Taking taylor expansion of 0 in M 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [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)) 8.619 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.619 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 8.619 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.619 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.619 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.619 * [taylor]: Taking taylor expansion of M in M 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (/ 1 1) into 1 8.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.619 * [taylor]: Taking taylor expansion of 1/2 in M 8.619 * [backup-simplify]: Simplify 1/2 into 1/2 8.619 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.619 * [taylor]: Taking taylor expansion of (* m K) in M 8.619 * [taylor]: Taking taylor expansion of m in M 8.619 * [backup-simplify]: Simplify m into m 8.619 * [taylor]: Taking taylor expansion of K in M 8.619 * [backup-simplify]: Simplify K into K 8.619 * [backup-simplify]: Simplify (* m K) into (* m K) 8.619 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.619 * [taylor]: Taking taylor expansion of 1/2 in M 8.619 * [backup-simplify]: Simplify 1/2 into 1/2 8.619 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.619 * [taylor]: Taking taylor expansion of (* K n) in M 8.619 * [taylor]: Taking taylor expansion of K in M 8.620 * [backup-simplify]: Simplify K into K 8.620 * [taylor]: Taking taylor expansion of n in M 8.620 * [backup-simplify]: Simplify n into n 8.620 * [backup-simplify]: Simplify (* K n) into (* K n) 8.620 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.620 * [backup-simplify]: Simplify (+ 1 0) into 1 8.620 * [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)))))) 8.620 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.620 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.620 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.620 * [taylor]: Taking taylor expansion of M in n 8.620 * [backup-simplify]: Simplify M into M 8.620 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.620 * [taylor]: Taking taylor expansion of 1/2 in n 8.620 * [backup-simplify]: Simplify 1/2 into 1/2 8.620 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.620 * [taylor]: Taking taylor expansion of (* m K) in n 8.620 * [taylor]: Taking taylor expansion of m in n 8.620 * [backup-simplify]: Simplify m into m 8.620 * [taylor]: Taking taylor expansion of K in n 8.620 * [backup-simplify]: Simplify K into K 8.620 * [backup-simplify]: Simplify (* m K) into (* m K) 8.620 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.620 * [taylor]: Taking taylor expansion of 1/2 in n 8.620 * [backup-simplify]: Simplify 1/2 into 1/2 8.620 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.620 * [taylor]: Taking taylor expansion of (* K n) in n 8.620 * [taylor]: Taking taylor expansion of K in n 8.621 * [backup-simplify]: Simplify K into K 8.621 * [taylor]: Taking taylor expansion of n in n 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (* K 0) into 0 8.621 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.621 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.621 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.621 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.621 * [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)))))) 8.621 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.621 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.621 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.621 * [taylor]: Taking taylor expansion of M in m 8.621 * [backup-simplify]: Simplify M into M 8.621 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.621 * [taylor]: Taking taylor expansion of 1/2 in m 8.621 * [backup-simplify]: Simplify 1/2 into 1/2 8.621 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.621 * [taylor]: Taking taylor expansion of (* m K) in m 8.621 * [taylor]: Taking taylor expansion of m in m 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [taylor]: Taking taylor expansion of K in m 8.622 * [backup-simplify]: Simplify K into K 8.622 * [backup-simplify]: Simplify (* 0 K) into 0 8.622 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.622 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.622 * [taylor]: Taking taylor expansion of 1/2 in m 8.622 * [backup-simplify]: Simplify 1/2 into 1/2 8.622 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.622 * [taylor]: Taking taylor expansion of (* K n) in m 8.622 * [taylor]: Taking taylor expansion of K in m 8.622 * [backup-simplify]: Simplify K into K 8.622 * [taylor]: Taking taylor expansion of n in m 8.622 * [backup-simplify]: Simplify n into n 8.622 * [backup-simplify]: Simplify (* K n) into (* K n) 8.622 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.622 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.622 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.622 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.622 * [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)))))) 8.622 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.622 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.622 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.622 * [taylor]: Taking taylor expansion of M in K 8.622 * [backup-simplify]: Simplify M into M 8.622 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.623 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.623 * [taylor]: Taking taylor expansion of 1/2 in K 8.623 * [backup-simplify]: Simplify 1/2 into 1/2 8.623 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.623 * [taylor]: Taking taylor expansion of (* m K) in K 8.623 * [taylor]: Taking taylor expansion of m in K 8.623 * [backup-simplify]: Simplify m into m 8.623 * [taylor]: Taking taylor expansion of K in K 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 1 into 1 8.623 * [backup-simplify]: Simplify (* m 0) into 0 8.623 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.623 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.623 * [taylor]: Taking taylor expansion of 1/2 in K 8.623 * [backup-simplify]: Simplify 1/2 into 1/2 8.623 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.623 * [taylor]: Taking taylor expansion of (* K n) in K 8.623 * [taylor]: Taking taylor expansion of K in K 8.623 * [backup-simplify]: Simplify 0 into 0 8.623 * [backup-simplify]: Simplify 1 into 1 8.623 * [taylor]: Taking taylor expansion of n in K 8.623 * [backup-simplify]: Simplify n into n 8.623 * [backup-simplify]: Simplify (* 0 n) into 0 8.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.624 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.624 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.624 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.624 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.624 * [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)))))) 8.624 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.624 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.624 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.624 * [taylor]: Taking taylor expansion of M in K 8.624 * [backup-simplify]: Simplify M into M 8.624 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.624 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.624 * [taylor]: Taking taylor expansion of 1/2 in K 8.624 * [backup-simplify]: Simplify 1/2 into 1/2 8.624 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.624 * [taylor]: Taking taylor expansion of (* m K) in K 8.624 * [taylor]: Taking taylor expansion of m in K 8.624 * [backup-simplify]: Simplify m into m 8.624 * [taylor]: Taking taylor expansion of K in K 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [backup-simplify]: Simplify (* m 0) into 0 8.624 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.625 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.625 * [taylor]: Taking taylor expansion of 1/2 in K 8.625 * [backup-simplify]: Simplify 1/2 into 1/2 8.625 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.625 * [taylor]: Taking taylor expansion of (* K n) in K 8.625 * [taylor]: Taking taylor expansion of K in K 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.625 * [taylor]: Taking taylor expansion of n in K 8.625 * [backup-simplify]: Simplify n into n 8.625 * [backup-simplify]: Simplify (* 0 n) into 0 8.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.625 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.625 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.625 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.625 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.625 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.625 * [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)))))) 8.626 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.626 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.626 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.626 * [taylor]: Taking taylor expansion of M in m 8.626 * [backup-simplify]: Simplify M into M 8.626 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.626 * [taylor]: Taking taylor expansion of 1/2 in m 8.626 * [backup-simplify]: Simplify 1/2 into 1/2 8.626 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.626 * [taylor]: Taking taylor expansion of (* m K) in m 8.626 * [taylor]: Taking taylor expansion of m in m 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [taylor]: Taking taylor expansion of K in m 8.626 * [backup-simplify]: Simplify K into K 8.626 * [backup-simplify]: Simplify (* 0 K) into 0 8.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.626 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.626 * [taylor]: Taking taylor expansion of 1/2 in m 8.626 * [backup-simplify]: Simplify 1/2 into 1/2 8.626 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.626 * [taylor]: Taking taylor expansion of (* K n) in m 8.626 * [taylor]: Taking taylor expansion of K in m 8.626 * [backup-simplify]: Simplify K into K 8.626 * [taylor]: Taking taylor expansion of n in m 8.626 * [backup-simplify]: Simplify n into n 8.626 * [backup-simplify]: Simplify (* K n) into (* K n) 8.626 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.626 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.626 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.627 * [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)))))) 8.627 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.627 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.627 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.627 * [taylor]: Taking taylor expansion of M in n 8.627 * [backup-simplify]: Simplify M into M 8.627 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.627 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.627 * [taylor]: Taking taylor expansion of 1/2 in n 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.627 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.627 * [taylor]: Taking taylor expansion of (* m K) in n 8.627 * [taylor]: Taking taylor expansion of m in n 8.627 * [backup-simplify]: Simplify m into m 8.627 * [taylor]: Taking taylor expansion of K in n 8.627 * [backup-simplify]: Simplify K into K 8.627 * [backup-simplify]: Simplify (* m K) into (* m K) 8.627 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.627 * [taylor]: Taking taylor expansion of 1/2 in n 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.627 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.627 * [taylor]: Taking taylor expansion of (* K n) in n 8.627 * [taylor]: Taking taylor expansion of K in n 8.627 * [backup-simplify]: Simplify K into K 8.627 * [taylor]: Taking taylor expansion of n in n 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.627 * [backup-simplify]: Simplify (* K 0) into 0 8.627 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.627 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.628 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.628 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.628 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.628 * [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)))))) 8.628 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.628 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.628 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.628 * [taylor]: Taking taylor expansion of M in M 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.628 * [taylor]: Taking taylor expansion of 1/2 in M 8.628 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.628 * [taylor]: Taking taylor expansion of (* m K) in M 8.628 * [taylor]: Taking taylor expansion of m in M 8.628 * [backup-simplify]: Simplify m into m 8.628 * [taylor]: Taking taylor expansion of K in M 8.628 * [backup-simplify]: Simplify K into K 8.628 * [backup-simplify]: Simplify (* m K) into (* m K) 8.628 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.628 * [taylor]: Taking taylor expansion of 1/2 in M 8.628 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.628 * [taylor]: Taking taylor expansion of (* K n) in M 8.628 * [taylor]: Taking taylor expansion of K in M 8.629 * [backup-simplify]: Simplify K into K 8.629 * [taylor]: Taking taylor expansion of n in M 8.629 * [backup-simplify]: Simplify n into n 8.629 * [backup-simplify]: Simplify (* K n) into (* K n) 8.629 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.629 * [backup-simplify]: Simplify (+ 1 0) into 1 8.629 * [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)))))) 8.629 * [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)))))) 8.629 * [taylor]: Taking taylor expansion of 0 in m 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [taylor]: Taking taylor expansion of 0 in n 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [taylor]: Taking taylor expansion of 0 in M 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in n 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in M 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in M 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in m 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in n 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in M 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in n 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [taylor]: Taking taylor expansion of 0 in M 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [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)) 8.630 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 8.630 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.630 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 8.630 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.630 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.630 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.630 * [taylor]: Taking taylor expansion of 1/2 in M 8.630 * [backup-simplify]: Simplify 1/2 into 1/2 8.630 * [taylor]: Taking taylor expansion of (* K n) in M 8.630 * [taylor]: Taking taylor expansion of K in M 8.630 * [backup-simplify]: Simplify K into K 8.630 * [taylor]: Taking taylor expansion of n in M 8.631 * [backup-simplify]: Simplify n into n 8.631 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.631 * [taylor]: Taking taylor expansion of 1/2 in M 8.631 * [backup-simplify]: Simplify 1/2 into 1/2 8.631 * [taylor]: Taking taylor expansion of (* K m) in M 8.631 * [taylor]: Taking taylor expansion of K in M 8.631 * [backup-simplify]: Simplify K into K 8.631 * [taylor]: Taking taylor expansion of m in M 8.631 * [backup-simplify]: Simplify m into m 8.631 * [taylor]: Taking taylor expansion of M in M 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* K n) into (* K n) 8.631 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.631 * [backup-simplify]: Simplify (* K m) into (* K m) 8.631 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.631 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.631 * [backup-simplify]: Simplify (- 0) into 0 8.631 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.631 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.632 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.632 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.632 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.632 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.632 * [taylor]: Taking taylor expansion of 1/2 in n 8.632 * [backup-simplify]: Simplify 1/2 into 1/2 8.632 * [taylor]: Taking taylor expansion of (* K n) in n 8.632 * [taylor]: Taking taylor expansion of K in n 8.632 * [backup-simplify]: Simplify K into K 8.632 * [taylor]: Taking taylor expansion of n in n 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 1 into 1 8.632 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.632 * [taylor]: Taking taylor expansion of 1/2 in n 8.632 * [backup-simplify]: Simplify 1/2 into 1/2 8.632 * [taylor]: Taking taylor expansion of (* K m) in n 8.632 * [taylor]: Taking taylor expansion of K in n 8.632 * [backup-simplify]: Simplify K into K 8.632 * [taylor]: Taking taylor expansion of m in n 8.632 * [backup-simplify]: Simplify m into m 8.632 * [taylor]: Taking taylor expansion of M in n 8.632 * [backup-simplify]: Simplify M into M 8.632 * [backup-simplify]: Simplify (* K 0) into 0 8.633 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.633 * [backup-simplify]: Simplify (* K m) into (* K m) 8.633 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.633 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.633 * [backup-simplify]: Simplify (- M) into (- M) 8.633 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.633 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.633 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.633 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.633 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.633 * [taylor]: Taking taylor expansion of 1/2 in m 8.633 * [backup-simplify]: Simplify 1/2 into 1/2 8.633 * [taylor]: Taking taylor expansion of (* K n) in m 8.633 * [taylor]: Taking taylor expansion of K in m 8.633 * [backup-simplify]: Simplify K into K 8.633 * [taylor]: Taking taylor expansion of n in m 8.633 * [backup-simplify]: Simplify n into n 8.633 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.633 * [taylor]: Taking taylor expansion of 1/2 in m 8.634 * [backup-simplify]: Simplify 1/2 into 1/2 8.634 * [taylor]: Taking taylor expansion of (* K m) in m 8.634 * [taylor]: Taking taylor expansion of K in m 8.634 * [backup-simplify]: Simplify K into K 8.634 * [taylor]: Taking taylor expansion of m in m 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.634 * [taylor]: Taking taylor expansion of M in m 8.634 * [backup-simplify]: Simplify M into M 8.634 * [backup-simplify]: Simplify (* K n) into (* K n) 8.634 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.634 * [backup-simplify]: Simplify (* K 0) into 0 8.635 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.635 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.635 * [backup-simplify]: Simplify (- M) into (- M) 8.635 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.635 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.635 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.635 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.635 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.635 * [taylor]: Taking taylor expansion of 1/2 in K 8.635 * [backup-simplify]: Simplify 1/2 into 1/2 8.635 * [taylor]: Taking taylor expansion of (* K n) in K 8.635 * [taylor]: Taking taylor expansion of K in K 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [taylor]: Taking taylor expansion of n in K 8.635 * [backup-simplify]: Simplify n into n 8.635 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.635 * [taylor]: Taking taylor expansion of 1/2 in K 8.635 * [backup-simplify]: Simplify 1/2 into 1/2 8.636 * [taylor]: Taking taylor expansion of (* K m) in K 8.636 * [taylor]: Taking taylor expansion of K in K 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of m in K 8.636 * [backup-simplify]: Simplify m into m 8.636 * [taylor]: Taking taylor expansion of M in K 8.636 * [backup-simplify]: Simplify M into M 8.636 * [backup-simplify]: Simplify (* 0 n) into 0 8.636 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.636 * [backup-simplify]: Simplify (* 0 m) into 0 8.637 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.637 * [backup-simplify]: Simplify (+ 0 0) into 0 8.637 * [backup-simplify]: Simplify (- M) into (- M) 8.637 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.637 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.637 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.637 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.637 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.637 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.637 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.637 * [taylor]: Taking taylor expansion of 1/2 in K 8.637 * [backup-simplify]: Simplify 1/2 into 1/2 8.638 * [taylor]: Taking taylor expansion of (* K n) in K 8.638 * [taylor]: Taking taylor expansion of K in K 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.638 * [taylor]: Taking taylor expansion of n in K 8.638 * [backup-simplify]: Simplify n into n 8.638 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.638 * [taylor]: Taking taylor expansion of 1/2 in K 8.638 * [backup-simplify]: Simplify 1/2 into 1/2 8.638 * [taylor]: Taking taylor expansion of (* K m) in K 8.638 * [taylor]: Taking taylor expansion of K in K 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.638 * [taylor]: Taking taylor expansion of m in K 8.638 * [backup-simplify]: Simplify m into m 8.638 * [taylor]: Taking taylor expansion of M in K 8.638 * [backup-simplify]: Simplify M into M 8.638 * [backup-simplify]: Simplify (* 0 n) into 0 8.638 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.638 * [backup-simplify]: Simplify (* 0 m) into 0 8.639 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.639 * [backup-simplify]: Simplify (+ 0 0) into 0 8.639 * [backup-simplify]: Simplify (- M) into (- M) 8.639 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.639 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.639 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.640 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.640 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.640 * [backup-simplify]: Simplify (- 0) into 0 8.640 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.640 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.640 * [taylor]: Taking taylor expansion of (- M) in m 8.640 * [taylor]: Taking taylor expansion of M in m 8.640 * [backup-simplify]: Simplify M into M 8.640 * [backup-simplify]: Simplify (- M) into (- M) 8.640 * [backup-simplify]: Simplify (- M) into (- M) 8.640 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.640 * [backup-simplify]: Simplify (- M) into (- M) 8.640 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.641 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.641 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.641 * [backup-simplify]: Simplify (- 0) into 0 8.641 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.641 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.641 * [taylor]: Taking taylor expansion of (- M) in n 8.641 * [taylor]: Taking taylor expansion of M in n 8.641 * [backup-simplify]: Simplify M into M 8.641 * [backup-simplify]: Simplify (- M) into (- M) 8.641 * [backup-simplify]: Simplify (- M) into (- M) 8.641 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.641 * [backup-simplify]: Simplify (- M) into (- M) 8.641 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.642 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.642 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.642 * [backup-simplify]: Simplify (- 0) into 0 8.642 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.642 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.642 * [taylor]: Taking taylor expansion of (- M) in M 8.642 * [taylor]: Taking taylor expansion of M in M 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (- 0) into 0 8.643 * [backup-simplify]: Simplify (- 1) into -1 8.643 * [backup-simplify]: Simplify 1 into 1 8.643 * [backup-simplify]: Simplify (+ 0) into 0 8.644 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.644 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.645 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 8.645 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 8.645 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 8.646 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 8.646 * [backup-simplify]: Simplify (- 0) into 0 8.646 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 8.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 8.647 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 8.647 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.647 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.648 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 8.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 8.648 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 8.648 * [taylor]: Taking taylor expansion of 1/2 in m 8.648 * [backup-simplify]: Simplify 1/2 into 1/2 8.648 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 8.648 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.648 * [taylor]: Taking taylor expansion of (- M) in m 8.648 * [taylor]: Taking taylor expansion of M in m 8.648 * [backup-simplify]: Simplify M into M 8.648 * [backup-simplify]: Simplify (- M) into (- M) 8.648 * [backup-simplify]: Simplify (- M) into (- M) 8.648 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.648 * [backup-simplify]: Simplify (- M) into (- M) 8.648 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.648 * [taylor]: Taking taylor expansion of n in m 8.648 * [backup-simplify]: Simplify n into n 8.648 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 8.648 * [taylor]: Taking taylor expansion of 1/2 in m 8.648 * [backup-simplify]: Simplify 1/2 into 1/2 8.648 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 8.648 * [taylor]: Taking taylor expansion of m in m 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.648 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.648 * [taylor]: Taking taylor expansion of (- M) in m 8.648 * [taylor]: Taking taylor expansion of M in m 8.648 * [backup-simplify]: Simplify M into M 8.648 * [backup-simplify]: Simplify (- M) into (- M) 8.648 * [backup-simplify]: Simplify (- M) into (- M) 8.648 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.648 * [backup-simplify]: Simplify (- M) into (- M) 8.649 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.649 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.649 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.649 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.649 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 8.649 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 8.649 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.649 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.649 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.649 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.650 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 8.650 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 8.650 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 8.650 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 8.650 * [taylor]: Taking taylor expansion of 1/2 in n 8.650 * [backup-simplify]: Simplify 1/2 into 1/2 8.650 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 8.650 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.650 * [taylor]: Taking taylor expansion of (- M) in n 8.650 * [taylor]: Taking taylor expansion of M in n 8.650 * [backup-simplify]: Simplify M into M 8.650 * [backup-simplify]: Simplify (- M) into (- M) 8.650 * [backup-simplify]: Simplify (- M) into (- M) 8.650 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.650 * [backup-simplify]: Simplify (- M) into (- M) 8.650 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.650 * [taylor]: Taking taylor expansion of n in n 8.651 * [backup-simplify]: Simplify 0 into 0 8.651 * [backup-simplify]: Simplify 1 into 1 8.651 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.651 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.651 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.651 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.652 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.652 * [backup-simplify]: Simplify (- 0) into 0 8.652 * [taylor]: Taking taylor expansion of 0 in M 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify (+ 0) into 0 8.653 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.653 * [backup-simplify]: Simplify (- 0) into 0 8.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.654 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.655 * [backup-simplify]: Simplify (- 0) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.655 * [taylor]: Taking taylor expansion of 0 in n 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [taylor]: Taking taylor expansion of 0 in M 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify (+ 0) into 0 8.656 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.657 * [backup-simplify]: Simplify (- 0) into 0 8.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.658 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.658 * [backup-simplify]: Simplify (- 0) into 0 8.659 * [backup-simplify]: Simplify (+ 0 0) into 0 8.659 * [taylor]: Taking taylor expansion of 0 in M 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify (+ 0) into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 8.661 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 8.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 8.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 8.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.665 * [backup-simplify]: Simplify (- 0) into 0 8.665 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.667 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 8.667 * [backup-simplify]: Simplify (- 0) into 0 8.668 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.668 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 8.668 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 8.668 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 8.668 * [taylor]: Taking taylor expansion of 1/8 in m 8.668 * [backup-simplify]: Simplify 1/8 into 1/8 8.668 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 8.668 * [taylor]: Taking taylor expansion of (pow m 2) in m 8.668 * [taylor]: Taking taylor expansion of m in m 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.668 * [taylor]: Taking taylor expansion of (- M) in m 8.668 * [taylor]: Taking taylor expansion of M in m 8.668 * [backup-simplify]: Simplify M into M 8.668 * [backup-simplify]: Simplify (- M) into (- M) 8.668 * [backup-simplify]: Simplify (- M) into (- M) 8.668 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.668 * [backup-simplify]: Simplify (- M) into (- M) 8.668 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.668 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 8.668 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 8.669 * [taylor]: Taking taylor expansion of 1/8 in m 8.669 * [backup-simplify]: Simplify 1/8 into 1/8 8.669 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 8.669 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.669 * [taylor]: Taking taylor expansion of (- M) in m 8.669 * [taylor]: Taking taylor expansion of M in m 8.669 * [backup-simplify]: Simplify M into M 8.669 * [backup-simplify]: Simplify (- M) into (- M) 8.669 * [backup-simplify]: Simplify (- M) into (- M) 8.669 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.669 * [backup-simplify]: Simplify (- M) into (- M) 8.669 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.669 * [taylor]: Taking taylor expansion of (pow n 2) in m 8.669 * [taylor]: Taking taylor expansion of n in m 8.669 * [backup-simplify]: Simplify n into n 8.669 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 8.669 * [taylor]: Taking taylor expansion of 1/4 in m 8.669 * [backup-simplify]: Simplify 1/4 into 1/4 8.669 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 8.669 * [taylor]: Taking taylor expansion of m in m 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 1 into 1 8.669 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 8.669 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.669 * [taylor]: Taking taylor expansion of (- M) in m 8.669 * [taylor]: Taking taylor expansion of M in m 8.669 * [backup-simplify]: Simplify M into M 8.669 * [backup-simplify]: Simplify (- M) into (- M) 8.669 * [backup-simplify]: Simplify (- M) into (- M) 8.669 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.669 * [backup-simplify]: Simplify (- M) into (- M) 8.670 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.670 * [taylor]: Taking taylor expansion of n in m 8.670 * [backup-simplify]: Simplify n into n 8.670 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.670 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.670 * [backup-simplify]: Simplify (- 0) into 0 8.670 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.670 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.670 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 8.671 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.671 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.671 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.671 * [backup-simplify]: Simplify (- 0) into 0 8.671 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.671 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 8.671 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 8.672 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.672 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.672 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.673 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 8.673 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 8.673 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 8.673 * [taylor]: Taking taylor expansion of 1/8 in n 8.673 * [backup-simplify]: Simplify 1/8 into 1/8 8.673 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 8.673 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.673 * [taylor]: Taking taylor expansion of (- M) in n 8.673 * [taylor]: Taking taylor expansion of M in n 8.673 * [backup-simplify]: Simplify M into M 8.673 * [backup-simplify]: Simplify (- M) into (- M) 8.673 * [backup-simplify]: Simplify (- M) into (- M) 8.673 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.673 * [backup-simplify]: Simplify (- M) into (- M) 8.673 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.673 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.673 * [taylor]: Taking taylor expansion of n in n 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 1 into 1 8.674 * [backup-simplify]: Simplify (+ 0) into 0 8.674 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.675 * [backup-simplify]: Simplify (- 0) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.676 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.676 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 8.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 8.677 * [backup-simplify]: Simplify (+ 0) into 0 8.678 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.678 * [backup-simplify]: Simplify (- 0) into 0 8.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.680 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.681 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.681 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 8.681 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.681 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 8.681 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 8.681 * [taylor]: Taking taylor expansion of 1/2 in n 8.681 * [backup-simplify]: Simplify 1/2 into 1/2 8.681 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.682 * [taylor]: Taking taylor expansion of (- M) in n 8.682 * [taylor]: Taking taylor expansion of M in n 8.682 * [backup-simplify]: Simplify M into M 8.682 * [backup-simplify]: Simplify (- M) into (- M) 8.682 * [backup-simplify]: Simplify (- M) into (- M) 8.682 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.682 * [backup-simplify]: Simplify (- M) into (- M) 8.682 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.682 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.682 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.682 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.682 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 8.682 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.682 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.682 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.682 * [taylor]: Taking taylor expansion of 1/2 in M 8.683 * [backup-simplify]: Simplify 1/2 into 1/2 8.683 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.683 * [taylor]: Taking taylor expansion of (- M) in M 8.683 * [taylor]: Taking taylor expansion of M in M 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (- 0) into 0 8.684 * [backup-simplify]: Simplify (- 1) into -1 8.684 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.684 * [backup-simplify]: Simplify (- 0) into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify (- 0) into 0 8.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.685 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 8.686 * [backup-simplify]: Simplify (- 0) into 0 8.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.687 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 8.687 * [backup-simplify]: Simplify (- 0) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.687 * [taylor]: Taking taylor expansion of 0 in n 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [taylor]: Taking taylor expansion of 0 in M 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 1 into 1 8.687 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.687 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 8.687 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.688 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.688 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.688 * [taylor]: Taking taylor expansion of 1/2 in M 8.688 * [backup-simplify]: Simplify 1/2 into 1/2 8.688 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.688 * [taylor]: Taking taylor expansion of (* m K) in M 8.688 * [taylor]: Taking taylor expansion of m in M 8.688 * [backup-simplify]: Simplify m into m 8.688 * [taylor]: Taking taylor expansion of K in M 8.688 * [backup-simplify]: Simplify K into K 8.688 * [backup-simplify]: Simplify (* m K) into (* m K) 8.688 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.688 * [taylor]: Taking taylor expansion of 1/2 in M 8.688 * [backup-simplify]: Simplify 1/2 into 1/2 8.688 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.688 * [taylor]: Taking taylor expansion of (* K n) in M 8.688 * [taylor]: Taking taylor expansion of K in M 8.688 * [backup-simplify]: Simplify K into K 8.688 * [taylor]: Taking taylor expansion of n in M 8.688 * [backup-simplify]: Simplify n into n 8.688 * [backup-simplify]: Simplify (* K n) into (* K n) 8.688 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.688 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.688 * [taylor]: Taking taylor expansion of M in M 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [backup-simplify]: Simplify (/ 1 1) into 1 8.689 * [backup-simplify]: Simplify (- 1) into -1 8.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.689 * [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))) 8.689 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.689 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.689 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.689 * [taylor]: Taking taylor expansion of 1/2 in n 8.689 * [backup-simplify]: Simplify 1/2 into 1/2 8.689 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.689 * [taylor]: Taking taylor expansion of (* m K) in n 8.689 * [taylor]: Taking taylor expansion of m in n 8.689 * [backup-simplify]: Simplify m into m 8.689 * [taylor]: Taking taylor expansion of K in n 8.689 * [backup-simplify]: Simplify K into K 8.689 * [backup-simplify]: Simplify (* m K) into (* m K) 8.689 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.689 * [taylor]: Taking taylor expansion of 1/2 in n 8.689 * [backup-simplify]: Simplify 1/2 into 1/2 8.689 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.689 * [taylor]: Taking taylor expansion of (* K n) in n 8.689 * [taylor]: Taking taylor expansion of K in n 8.689 * [backup-simplify]: Simplify K into K 8.689 * [taylor]: Taking taylor expansion of n in n 8.689 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (* K 0) into 0 8.690 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.690 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.690 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.690 * [taylor]: Taking taylor expansion of M in n 8.690 * [backup-simplify]: Simplify M into M 8.690 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.690 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.690 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.690 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.690 * [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))) 8.690 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.690 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.690 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.690 * [taylor]: Taking taylor expansion of 1/2 in m 8.690 * [backup-simplify]: Simplify 1/2 into 1/2 8.690 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.690 * [taylor]: Taking taylor expansion of (* m K) in m 8.690 * [taylor]: Taking taylor expansion of m in m 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.690 * [taylor]: Taking taylor expansion of K in m 8.690 * [backup-simplify]: Simplify K into K 8.690 * [backup-simplify]: Simplify (* 0 K) into 0 8.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.691 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.691 * [taylor]: Taking taylor expansion of 1/2 in m 8.691 * [backup-simplify]: Simplify 1/2 into 1/2 8.691 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.691 * [taylor]: Taking taylor expansion of (* K n) in m 8.691 * [taylor]: Taking taylor expansion of K in m 8.691 * [backup-simplify]: Simplify K into K 8.691 * [taylor]: Taking taylor expansion of n in m 8.691 * [backup-simplify]: Simplify n into n 8.691 * [backup-simplify]: Simplify (* K n) into (* K n) 8.691 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.691 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.691 * [taylor]: Taking taylor expansion of M in m 8.691 * [backup-simplify]: Simplify M into M 8.691 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.691 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.691 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.691 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.691 * [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))) 8.691 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.691 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.691 * [taylor]: Taking taylor expansion of 1/2 in K 8.691 * [backup-simplify]: Simplify 1/2 into 1/2 8.692 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.692 * [taylor]: Taking taylor expansion of (* m K) in K 8.692 * [taylor]: Taking taylor expansion of m in K 8.692 * [backup-simplify]: Simplify m into m 8.692 * [taylor]: Taking taylor expansion of K in K 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.692 * [backup-simplify]: Simplify (* m 0) into 0 8.692 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.692 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.692 * [taylor]: Taking taylor expansion of 1/2 in K 8.692 * [backup-simplify]: Simplify 1/2 into 1/2 8.692 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.692 * [taylor]: Taking taylor expansion of (* K n) in K 8.692 * [taylor]: Taking taylor expansion of K in K 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.692 * [taylor]: Taking taylor expansion of n in K 8.692 * [backup-simplify]: Simplify n into n 8.692 * [backup-simplify]: Simplify (* 0 n) into 0 8.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.692 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.693 * [taylor]: Taking taylor expansion of M in K 8.693 * [backup-simplify]: Simplify M into M 8.693 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.693 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.693 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.693 * [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))) 8.693 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.693 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.693 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.693 * [taylor]: Taking taylor expansion of 1/2 in K 8.693 * [backup-simplify]: Simplify 1/2 into 1/2 8.693 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.693 * [taylor]: Taking taylor expansion of (* m K) in K 8.693 * [taylor]: Taking taylor expansion of m in K 8.693 * [backup-simplify]: Simplify m into m 8.693 * [taylor]: Taking taylor expansion of K in K 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (* m 0) into 0 8.694 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.694 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.694 * [taylor]: Taking taylor expansion of 1/2 in K 8.694 * [backup-simplify]: Simplify 1/2 into 1/2 8.694 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.694 * [taylor]: Taking taylor expansion of (* K n) in K 8.694 * [taylor]: Taking taylor expansion of K in K 8.694 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify 1 into 1 8.694 * [taylor]: Taking taylor expansion of n in K 8.694 * [backup-simplify]: Simplify n into n 8.694 * [backup-simplify]: Simplify (* 0 n) into 0 8.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.694 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.694 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.694 * [taylor]: Taking taylor expansion of M in K 8.694 * [backup-simplify]: Simplify M into M 8.694 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.694 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.694 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.694 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.695 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.695 * [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))) 8.695 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.695 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.695 * [taylor]: Taking taylor expansion of 1/2 in m 8.695 * [backup-simplify]: Simplify 1/2 into 1/2 8.695 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.695 * [taylor]: Taking taylor expansion of (* m K) in m 8.695 * [taylor]: Taking taylor expansion of m in m 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.695 * [taylor]: Taking taylor expansion of K in m 8.695 * [backup-simplify]: Simplify K into K 8.695 * [backup-simplify]: Simplify (* 0 K) into 0 8.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.696 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.696 * [taylor]: Taking taylor expansion of 1/2 in m 8.696 * [backup-simplify]: Simplify 1/2 into 1/2 8.696 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.696 * [taylor]: Taking taylor expansion of (* K n) in m 8.696 * [taylor]: Taking taylor expansion of K in m 8.696 * [backup-simplify]: Simplify K into K 8.696 * [taylor]: Taking taylor expansion of n in m 8.696 * [backup-simplify]: Simplify n into n 8.696 * [backup-simplify]: Simplify (* K n) into (* K n) 8.696 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.696 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.696 * [taylor]: Taking taylor expansion of M in m 8.696 * [backup-simplify]: Simplify M into M 8.696 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.696 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.696 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.696 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.696 * [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))) 8.697 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.697 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.697 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.697 * [taylor]: Taking taylor expansion of 1/2 in n 8.697 * [backup-simplify]: Simplify 1/2 into 1/2 8.697 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.697 * [taylor]: Taking taylor expansion of (* m K) in n 8.697 * [taylor]: Taking taylor expansion of m in n 8.697 * [backup-simplify]: Simplify m into m 8.697 * [taylor]: Taking taylor expansion of K in n 8.697 * [backup-simplify]: Simplify K into K 8.697 * [backup-simplify]: Simplify (* m K) into (* m K) 8.697 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.697 * [taylor]: Taking taylor expansion of 1/2 in n 8.697 * [backup-simplify]: Simplify 1/2 into 1/2 8.697 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.697 * [taylor]: Taking taylor expansion of (* K n) in n 8.697 * [taylor]: Taking taylor expansion of K in n 8.697 * [backup-simplify]: Simplify K into K 8.697 * [taylor]: Taking taylor expansion of n in n 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (* K 0) into 0 8.697 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.697 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.697 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.697 * [taylor]: Taking taylor expansion of M in n 8.697 * [backup-simplify]: Simplify M into M 8.697 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.698 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.698 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.698 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.698 * [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))) 8.698 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.698 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.698 * [taylor]: Taking taylor expansion of 1/2 in M 8.698 * [backup-simplify]: Simplify 1/2 into 1/2 8.698 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.698 * [taylor]: Taking taylor expansion of (* m K) in M 8.698 * [taylor]: Taking taylor expansion of m in M 8.698 * [backup-simplify]: Simplify m into m 8.698 * [taylor]: Taking taylor expansion of K in M 8.698 * [backup-simplify]: Simplify K into K 8.698 * [backup-simplify]: Simplify (* m K) into (* m K) 8.698 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.698 * [taylor]: Taking taylor expansion of 1/2 in M 8.698 * [backup-simplify]: Simplify 1/2 into 1/2 8.698 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.698 * [taylor]: Taking taylor expansion of (* K n) in M 8.698 * [taylor]: Taking taylor expansion of K in M 8.698 * [backup-simplify]: Simplify K into K 8.698 * [taylor]: Taking taylor expansion of n in M 8.698 * [backup-simplify]: Simplify n into n 8.698 * [backup-simplify]: Simplify (* K n) into (* K n) 8.698 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.698 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.698 * [taylor]: Taking taylor expansion of M in M 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (/ 1 1) into 1 8.701 * [backup-simplify]: Simplify (- 1) into -1 8.701 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.701 * [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))) 8.701 * [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))) 8.701 * [taylor]: Taking taylor expansion of 0 in m 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in M 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in M 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in M 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in m 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in M 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in n 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [taylor]: Taking taylor expansion of 0 in M 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [backup-simplify]: Simplify 0 into 0 8.702 * [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)) 8.703 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.703 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 8.703 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.703 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.703 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.703 * [taylor]: Taking taylor expansion of M in M 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 1 into 1 8.703 * [backup-simplify]: Simplify (/ 1 1) into 1 8.703 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.703 * [taylor]: Taking taylor expansion of 1/2 in M 8.703 * [backup-simplify]: Simplify 1/2 into 1/2 8.703 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.703 * [taylor]: Taking taylor expansion of (* m K) in M 8.703 * [taylor]: Taking taylor expansion of m in M 8.703 * [backup-simplify]: Simplify m into m 8.703 * [taylor]: Taking taylor expansion of K in M 8.703 * [backup-simplify]: Simplify K into K 8.703 * [backup-simplify]: Simplify (* m K) into (* m K) 8.703 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.703 * [taylor]: Taking taylor expansion of 1/2 in M 8.703 * [backup-simplify]: Simplify 1/2 into 1/2 8.703 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.703 * [taylor]: Taking taylor expansion of (* K n) in M 8.703 * [taylor]: Taking taylor expansion of K in M 8.703 * [backup-simplify]: Simplify K into K 8.703 * [taylor]: Taking taylor expansion of n in M 8.703 * [backup-simplify]: Simplify n into n 8.703 * [backup-simplify]: Simplify (* K n) into (* K n) 8.704 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.704 * [backup-simplify]: Simplify (+ 1 0) into 1 8.704 * [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)))))) 8.704 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.704 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.704 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.704 * [taylor]: Taking taylor expansion of M in n 8.704 * [backup-simplify]: Simplify M into M 8.704 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.704 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.704 * [taylor]: Taking taylor expansion of 1/2 in n 8.704 * [backup-simplify]: Simplify 1/2 into 1/2 8.704 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.704 * [taylor]: Taking taylor expansion of (* m K) in n 8.704 * [taylor]: Taking taylor expansion of m in n 8.704 * [backup-simplify]: Simplify m into m 8.704 * [taylor]: Taking taylor expansion of K in n 8.704 * [backup-simplify]: Simplify K into K 8.704 * [backup-simplify]: Simplify (* m K) into (* m K) 8.704 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.704 * [taylor]: Taking taylor expansion of 1/2 in n 8.704 * [backup-simplify]: Simplify 1/2 into 1/2 8.704 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.704 * [taylor]: Taking taylor expansion of (* K n) in n 8.704 * [taylor]: Taking taylor expansion of K in n 8.704 * [backup-simplify]: Simplify K into K 8.704 * [taylor]: Taking taylor expansion of n in n 8.704 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (* K 0) into 0 8.705 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.705 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.705 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.705 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.705 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.705 * [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)))))) 8.705 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.705 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.705 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.705 * [taylor]: Taking taylor expansion of M in m 8.705 * [backup-simplify]: Simplify M into M 8.705 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.705 * [taylor]: Taking taylor expansion of 1/2 in m 8.705 * [backup-simplify]: Simplify 1/2 into 1/2 8.705 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.705 * [taylor]: Taking taylor expansion of (* m K) in m 8.705 * [taylor]: Taking taylor expansion of m in m 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [taylor]: Taking taylor expansion of K in m 8.705 * [backup-simplify]: Simplify K into K 8.705 * [backup-simplify]: Simplify (* 0 K) into 0 8.706 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.706 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.706 * [taylor]: Taking taylor expansion of 1/2 in m 8.706 * [backup-simplify]: Simplify 1/2 into 1/2 8.706 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.706 * [taylor]: Taking taylor expansion of (* K n) in m 8.706 * [taylor]: Taking taylor expansion of K in m 8.706 * [backup-simplify]: Simplify K into K 8.706 * [taylor]: Taking taylor expansion of n in m 8.706 * [backup-simplify]: Simplify n into n 8.706 * [backup-simplify]: Simplify (* K n) into (* K n) 8.706 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.706 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.706 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.706 * [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)))))) 8.706 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.706 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.706 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.706 * [taylor]: Taking taylor expansion of M in K 8.706 * [backup-simplify]: Simplify M into M 8.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.706 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.707 * [taylor]: Taking taylor expansion of 1/2 in K 8.707 * [backup-simplify]: Simplify 1/2 into 1/2 8.707 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.707 * [taylor]: Taking taylor expansion of (* m K) in K 8.707 * [taylor]: Taking taylor expansion of m in K 8.707 * [backup-simplify]: Simplify m into m 8.707 * [taylor]: Taking taylor expansion of K in K 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [backup-simplify]: Simplify (* m 0) into 0 8.707 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.707 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.707 * [taylor]: Taking taylor expansion of 1/2 in K 8.707 * [backup-simplify]: Simplify 1/2 into 1/2 8.707 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.707 * [taylor]: Taking taylor expansion of (* K n) in K 8.707 * [taylor]: Taking taylor expansion of K in K 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [taylor]: Taking taylor expansion of n in K 8.707 * [backup-simplify]: Simplify n into n 8.707 * [backup-simplify]: Simplify (* 0 n) into 0 8.707 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.708 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.708 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.708 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.708 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.708 * [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)))))) 8.708 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.708 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.708 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.708 * [taylor]: Taking taylor expansion of M in K 8.708 * [backup-simplify]: Simplify M into M 8.708 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.708 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.708 * [taylor]: Taking taylor expansion of 1/2 in K 8.708 * [backup-simplify]: Simplify 1/2 into 1/2 8.708 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.708 * [taylor]: Taking taylor expansion of (* m K) in K 8.708 * [taylor]: Taking taylor expansion of m in K 8.708 * [backup-simplify]: Simplify m into m 8.708 * [taylor]: Taking taylor expansion of K in K 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (* m 0) into 0 8.708 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.709 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.709 * [taylor]: Taking taylor expansion of 1/2 in K 8.709 * [backup-simplify]: Simplify 1/2 into 1/2 8.709 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.709 * [taylor]: Taking taylor expansion of (* K n) in K 8.709 * [taylor]: Taking taylor expansion of K in K 8.709 * [backup-simplify]: Simplify 0 into 0 8.709 * [backup-simplify]: Simplify 1 into 1 8.709 * [taylor]: Taking taylor expansion of n in K 8.709 * [backup-simplify]: Simplify n into n 8.709 * [backup-simplify]: Simplify (* 0 n) into 0 8.709 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.709 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.709 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.709 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.709 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.709 * [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)))))) 8.710 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.710 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.710 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.710 * [taylor]: Taking taylor expansion of M in m 8.710 * [backup-simplify]: Simplify M into M 8.710 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.710 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.710 * [taylor]: Taking taylor expansion of 1/2 in m 8.710 * [backup-simplify]: Simplify 1/2 into 1/2 8.710 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.710 * [taylor]: Taking taylor expansion of (* m K) in m 8.710 * [taylor]: Taking taylor expansion of m in m 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify 1 into 1 8.710 * [taylor]: Taking taylor expansion of K in m 8.710 * [backup-simplify]: Simplify K into K 8.710 * [backup-simplify]: Simplify (* 0 K) into 0 8.710 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.710 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.710 * [taylor]: Taking taylor expansion of 1/2 in m 8.710 * [backup-simplify]: Simplify 1/2 into 1/2 8.710 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.710 * [taylor]: Taking taylor expansion of (* K n) in m 8.710 * [taylor]: Taking taylor expansion of K in m 8.710 * [backup-simplify]: Simplify K into K 8.710 * [taylor]: Taking taylor expansion of n in m 8.710 * [backup-simplify]: Simplify n into n 8.710 * [backup-simplify]: Simplify (* K n) into (* K n) 8.710 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.710 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.710 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.711 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.711 * [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)))))) 8.711 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.711 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.711 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.711 * [taylor]: Taking taylor expansion of M in n 8.711 * [backup-simplify]: Simplify M into M 8.711 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.711 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.711 * [taylor]: Taking taylor expansion of 1/2 in n 8.711 * [backup-simplify]: Simplify 1/2 into 1/2 8.711 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.711 * [taylor]: Taking taylor expansion of (* m K) in n 8.711 * [taylor]: Taking taylor expansion of m in n 8.711 * [backup-simplify]: Simplify m into m 8.711 * [taylor]: Taking taylor expansion of K in n 8.711 * [backup-simplify]: Simplify K into K 8.711 * [backup-simplify]: Simplify (* m K) into (* m K) 8.711 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.711 * [taylor]: Taking taylor expansion of 1/2 in n 8.711 * [backup-simplify]: Simplify 1/2 into 1/2 8.711 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.711 * [taylor]: Taking taylor expansion of (* K n) in n 8.711 * [taylor]: Taking taylor expansion of K in n 8.711 * [backup-simplify]: Simplify K into K 8.711 * [taylor]: Taking taylor expansion of n in n 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 1 into 1 8.712 * [backup-simplify]: Simplify (* K 0) into 0 8.712 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.712 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.712 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.712 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.712 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.713 * [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)))))) 8.713 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.713 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.713 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.713 * [taylor]: Taking taylor expansion of M in M 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [backup-simplify]: Simplify (/ 1 1) into 1 8.713 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.713 * [taylor]: Taking taylor expansion of 1/2 in M 8.713 * [backup-simplify]: Simplify 1/2 into 1/2 8.713 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.713 * [taylor]: Taking taylor expansion of (* m K) in M 8.713 * [taylor]: Taking taylor expansion of m in M 8.713 * [backup-simplify]: Simplify m into m 8.713 * [taylor]: Taking taylor expansion of K in M 8.714 * [backup-simplify]: Simplify K into K 8.714 * [backup-simplify]: Simplify (* m K) into (* m K) 8.714 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.714 * [taylor]: Taking taylor expansion of 1/2 in M 8.714 * [backup-simplify]: Simplify 1/2 into 1/2 8.714 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.714 * [taylor]: Taking taylor expansion of (* K n) in M 8.714 * [taylor]: Taking taylor expansion of K in M 8.714 * [backup-simplify]: Simplify K into K 8.714 * [taylor]: Taking taylor expansion of n in M 8.714 * [backup-simplify]: Simplify n into n 8.714 * [backup-simplify]: Simplify (* K n) into (* K n) 8.714 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.714 * [backup-simplify]: Simplify (+ 1 0) into 1 8.715 * [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)))))) 8.715 * [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)))))) 8.715 * [taylor]: Taking taylor expansion of 0 in m 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [taylor]: Taking taylor expansion of 0 in n 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [taylor]: Taking taylor expansion of 0 in M 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [taylor]: Taking taylor expansion of 0 in n 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [taylor]: Taking taylor expansion of 0 in M 8.715 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [taylor]: Taking taylor expansion of 0 in M 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [taylor]: Taking taylor expansion of 0 in m 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [taylor]: Taking taylor expansion of 0 in n 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [taylor]: Taking taylor expansion of 0 in M 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [taylor]: Taking taylor expansion of 0 in n 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [taylor]: Taking taylor expansion of 0 in M 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [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)) 8.717 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 8.717 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.717 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 8.717 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.717 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.717 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.717 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.717 * [taylor]: Taking taylor expansion of 1/2 in M 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of (* K n) in M 8.717 * [taylor]: Taking taylor expansion of K in M 8.717 * [backup-simplify]: Simplify K into K 8.717 * [taylor]: Taking taylor expansion of n in M 8.717 * [backup-simplify]: Simplify n into n 8.717 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.717 * [taylor]: Taking taylor expansion of 1/2 in M 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of (* K m) in M 8.717 * [taylor]: Taking taylor expansion of K in M 8.717 * [backup-simplify]: Simplify K into K 8.717 * [taylor]: Taking taylor expansion of m in M 8.717 * [backup-simplify]: Simplify m into m 8.717 * [taylor]: Taking taylor expansion of M in M 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (* K n) into (* K n) 8.718 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.718 * [backup-simplify]: Simplify (* K m) into (* K m) 8.718 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.718 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.718 * [backup-simplify]: Simplify (- 0) into 0 8.719 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.719 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.719 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.719 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.719 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.719 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.719 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.719 * [taylor]: Taking taylor expansion of 1/2 in n 8.719 * [backup-simplify]: Simplify 1/2 into 1/2 8.719 * [taylor]: Taking taylor expansion of (* K n) in n 8.719 * [taylor]: Taking taylor expansion of K in n 8.719 * [backup-simplify]: Simplify K into K 8.719 * [taylor]: Taking taylor expansion of n in n 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.719 * [taylor]: Taking taylor expansion of 1/2 in n 8.719 * [backup-simplify]: Simplify 1/2 into 1/2 8.719 * [taylor]: Taking taylor expansion of (* K m) in n 8.719 * [taylor]: Taking taylor expansion of K in n 8.719 * [backup-simplify]: Simplify K into K 8.719 * [taylor]: Taking taylor expansion of m in n 8.719 * [backup-simplify]: Simplify m into m 8.719 * [taylor]: Taking taylor expansion of M in n 8.719 * [backup-simplify]: Simplify M into M 8.720 * [backup-simplify]: Simplify (* K 0) into 0 8.720 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.720 * [backup-simplify]: Simplify (* K m) into (* K m) 8.720 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.720 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.720 * [backup-simplify]: Simplify (- M) into (- M) 8.720 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.721 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.721 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.721 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.721 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.721 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.721 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.721 * [taylor]: Taking taylor expansion of 1/2 in m 8.721 * [backup-simplify]: Simplify 1/2 into 1/2 8.721 * [taylor]: Taking taylor expansion of (* K n) in m 8.721 * [taylor]: Taking taylor expansion of K in m 8.721 * [backup-simplify]: Simplify K into K 8.721 * [taylor]: Taking taylor expansion of n in m 8.721 * [backup-simplify]: Simplify n into n 8.721 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.721 * [taylor]: Taking taylor expansion of 1/2 in m 8.721 * [backup-simplify]: Simplify 1/2 into 1/2 8.721 * [taylor]: Taking taylor expansion of (* K m) in m 8.721 * [taylor]: Taking taylor expansion of K in m 8.721 * [backup-simplify]: Simplify K into K 8.721 * [taylor]: Taking taylor expansion of m in m 8.721 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify 1 into 1 8.721 * [taylor]: Taking taylor expansion of M in m 8.721 * [backup-simplify]: Simplify M into M 8.721 * [backup-simplify]: Simplify (* K n) into (* K n) 8.721 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.721 * [backup-simplify]: Simplify (* K 0) into 0 8.722 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.722 * [backup-simplify]: Simplify (- M) into (- M) 8.722 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.722 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.722 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.723 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.723 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.723 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.723 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.723 * [taylor]: Taking taylor expansion of 1/2 in K 8.723 * [backup-simplify]: Simplify 1/2 into 1/2 8.723 * [taylor]: Taking taylor expansion of (* K n) in K 8.723 * [taylor]: Taking taylor expansion of K in K 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [taylor]: Taking taylor expansion of n in K 8.723 * [backup-simplify]: Simplify n into n 8.723 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.723 * [taylor]: Taking taylor expansion of 1/2 in K 8.723 * [backup-simplify]: Simplify 1/2 into 1/2 8.723 * [taylor]: Taking taylor expansion of (* K m) in K 8.723 * [taylor]: Taking taylor expansion of K in K 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [taylor]: Taking taylor expansion of m in K 8.723 * [backup-simplify]: Simplify m into m 8.723 * [taylor]: Taking taylor expansion of M in K 8.723 * [backup-simplify]: Simplify M into M 8.723 * [backup-simplify]: Simplify (* 0 n) into 0 8.724 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.724 * [backup-simplify]: Simplify (* 0 m) into 0 8.724 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.724 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (- M) into (- M) 8.725 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.725 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.725 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.725 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.725 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.725 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.725 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.725 * [taylor]: Taking taylor expansion of 1/2 in K 8.725 * [backup-simplify]: Simplify 1/2 into 1/2 8.725 * [taylor]: Taking taylor expansion of (* K n) in K 8.725 * [taylor]: Taking taylor expansion of K in K 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of n in K 8.725 * [backup-simplify]: Simplify n into n 8.725 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.725 * [taylor]: Taking taylor expansion of 1/2 in K 8.725 * [backup-simplify]: Simplify 1/2 into 1/2 8.725 * [taylor]: Taking taylor expansion of (* K m) in K 8.725 * [taylor]: Taking taylor expansion of K in K 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of m in K 8.725 * [backup-simplify]: Simplify m into m 8.725 * [taylor]: Taking taylor expansion of M in K 8.725 * [backup-simplify]: Simplify M into M 8.725 * [backup-simplify]: Simplify (* 0 n) into 0 8.726 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.726 * [backup-simplify]: Simplify (* 0 m) into 0 8.726 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.727 * [backup-simplify]: Simplify (- M) into (- M) 8.727 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.727 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.727 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.727 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.727 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.728 * [backup-simplify]: Simplify (- 0) into 0 8.728 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.728 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.728 * [taylor]: Taking taylor expansion of (- M) in m 8.728 * [taylor]: Taking taylor expansion of M in m 8.728 * [backup-simplify]: Simplify M into M 8.728 * [backup-simplify]: Simplify (- M) into (- M) 8.728 * [backup-simplify]: Simplify (- M) into (- M) 8.728 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.728 * [backup-simplify]: Simplify (- M) into (- M) 8.728 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.728 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.728 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.729 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.729 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.729 * [taylor]: Taking taylor expansion of (- M) in n 8.729 * [taylor]: Taking taylor expansion of M in n 8.729 * [backup-simplify]: Simplify M into M 8.729 * [backup-simplify]: Simplify (- M) into (- M) 8.729 * [backup-simplify]: Simplify (- M) into (- M) 8.729 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.729 * [backup-simplify]: Simplify (- M) into (- M) 8.729 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.729 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.729 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.730 * [backup-simplify]: Simplify (- 0) into 0 8.730 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.730 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.730 * [taylor]: Taking taylor expansion of (- M) in M 8.730 * [taylor]: Taking taylor expansion of M in M 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (- 0) into 0 8.731 * [backup-simplify]: Simplify (- 1) into -1 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (+ 0) into 0 8.731 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.732 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 8.732 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 8.732 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 8.732 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 8.733 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 8.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 8.733 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 8.733 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.734 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.734 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 8.734 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 8.734 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 8.734 * [taylor]: Taking taylor expansion of 1/2 in m 8.734 * [backup-simplify]: Simplify 1/2 into 1/2 8.734 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 8.734 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.734 * [taylor]: Taking taylor expansion of (- M) in m 8.734 * [taylor]: Taking taylor expansion of M in m 8.734 * [backup-simplify]: Simplify M into M 8.734 * [backup-simplify]: Simplify (- M) into (- M) 8.734 * [backup-simplify]: Simplify (- M) into (- M) 8.734 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.734 * [backup-simplify]: Simplify (- M) into (- M) 8.734 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.734 * [taylor]: Taking taylor expansion of n in m 8.734 * [backup-simplify]: Simplify n into n 8.734 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 8.734 * [taylor]: Taking taylor expansion of 1/2 in m 8.734 * [backup-simplify]: Simplify 1/2 into 1/2 8.734 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 8.734 * [taylor]: Taking taylor expansion of m in m 8.734 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify 1 into 1 8.734 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.734 * [taylor]: Taking taylor expansion of (- M) in m 8.734 * [taylor]: Taking taylor expansion of M in m 8.734 * [backup-simplify]: Simplify M into M 8.734 * [backup-simplify]: Simplify (- M) into (- M) 8.734 * [backup-simplify]: Simplify (- M) into (- M) 8.734 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.734 * [backup-simplify]: Simplify (- M) into (- M) 8.734 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.734 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.734 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.734 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.734 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 8.734 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 8.735 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.735 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.735 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.735 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.735 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.735 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 8.735 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 8.735 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 8.735 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 8.735 * [taylor]: Taking taylor expansion of 1/2 in n 8.735 * [backup-simplify]: Simplify 1/2 into 1/2 8.735 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 8.735 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.735 * [taylor]: Taking taylor expansion of (- M) in n 8.735 * [taylor]: Taking taylor expansion of M in n 8.735 * [backup-simplify]: Simplify M into M 8.735 * [backup-simplify]: Simplify (- M) into (- M) 8.735 * [backup-simplify]: Simplify (- M) into (- M) 8.735 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.735 * [backup-simplify]: Simplify (- M) into (- M) 8.735 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.735 * [taylor]: Taking taylor expansion of n in n 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 1 into 1 8.735 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.736 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.736 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.736 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.736 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.736 * [backup-simplify]: Simplify (- 0) into 0 8.736 * [taylor]: Taking taylor expansion of 0 in M 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify (+ 0) into 0 8.737 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.738 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.738 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [taylor]: Taking taylor expansion of 0 in n 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [taylor]: Taking taylor expansion of 0 in M 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify (+ 0) into 0 8.739 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.739 * [backup-simplify]: Simplify (- 0) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.740 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.740 * [backup-simplify]: Simplify (- 0) into 0 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.740 * [taylor]: Taking taylor expansion of 0 in M 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify (+ 0) into 0 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 8.742 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 8.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.744 * [backup-simplify]: Simplify (- 0) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.745 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 8.746 * [backup-simplify]: Simplify (- 0) into 0 8.746 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.746 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 8.746 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 8.746 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 8.746 * [taylor]: Taking taylor expansion of 1/8 in m 8.746 * [backup-simplify]: Simplify 1/8 into 1/8 8.746 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 8.746 * [taylor]: Taking taylor expansion of (pow m 2) in m 8.746 * [taylor]: Taking taylor expansion of m in m 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.746 * [taylor]: Taking taylor expansion of (- M) in m 8.746 * [taylor]: Taking taylor expansion of M in m 8.746 * [backup-simplify]: Simplify M into M 8.746 * [backup-simplify]: Simplify (- M) into (- M) 8.746 * [backup-simplify]: Simplify (- M) into (- M) 8.746 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.746 * [backup-simplify]: Simplify (- M) into (- M) 8.746 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.746 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 8.746 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 8.746 * [taylor]: Taking taylor expansion of 1/8 in m 8.746 * [backup-simplify]: Simplify 1/8 into 1/8 8.746 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 8.746 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.747 * [taylor]: Taking taylor expansion of (- M) in m 8.747 * [taylor]: Taking taylor expansion of M in m 8.747 * [backup-simplify]: Simplify M into M 8.747 * [backup-simplify]: Simplify (- M) into (- M) 8.747 * [backup-simplify]: Simplify (- M) into (- M) 8.747 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.747 * [backup-simplify]: Simplify (- M) into (- M) 8.747 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.747 * [taylor]: Taking taylor expansion of (pow n 2) in m 8.747 * [taylor]: Taking taylor expansion of n in m 8.747 * [backup-simplify]: Simplify n into n 8.747 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 8.747 * [taylor]: Taking taylor expansion of 1/4 in m 8.747 * [backup-simplify]: Simplify 1/4 into 1/4 8.747 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 8.747 * [taylor]: Taking taylor expansion of m in m 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 1 into 1 8.747 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 8.747 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.747 * [taylor]: Taking taylor expansion of (- M) in m 8.747 * [taylor]: Taking taylor expansion of M in m 8.747 * [backup-simplify]: Simplify M into M 8.747 * [backup-simplify]: Simplify (- M) into (- M) 8.747 * [backup-simplify]: Simplify (- M) into (- M) 8.747 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.747 * [backup-simplify]: Simplify (- M) into (- M) 8.747 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.747 * [taylor]: Taking taylor expansion of n in m 8.747 * [backup-simplify]: Simplify n into n 8.747 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.747 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.747 * [backup-simplify]: Simplify (- 0) into 0 8.747 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.748 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.748 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 8.748 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.748 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.748 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.748 * [backup-simplify]: Simplify (- 0) into 0 8.748 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.748 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 8.748 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 8.748 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.749 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.749 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.749 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 8.749 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 8.749 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 8.749 * [taylor]: Taking taylor expansion of 1/8 in n 8.749 * [backup-simplify]: Simplify 1/8 into 1/8 8.749 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 8.749 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.749 * [taylor]: Taking taylor expansion of (- M) in n 8.749 * [taylor]: Taking taylor expansion of M in n 8.749 * [backup-simplify]: Simplify M into M 8.749 * [backup-simplify]: Simplify (- M) into (- M) 8.749 * [backup-simplify]: Simplify (- M) into (- M) 8.749 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.749 * [backup-simplify]: Simplify (- M) into (- M) 8.749 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.749 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.749 * [taylor]: Taking taylor expansion of n in n 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (+ 0) into 0 8.750 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.750 * [backup-simplify]: Simplify (- 0) into 0 8.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.751 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.751 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 8.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 8.752 * [backup-simplify]: Simplify (+ 0) into 0 8.752 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.752 * [backup-simplify]: Simplify (- 0) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.753 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.754 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.754 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 8.754 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.754 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 8.754 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 8.754 * [taylor]: Taking taylor expansion of 1/2 in n 8.754 * [backup-simplify]: Simplify 1/2 into 1/2 8.754 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.754 * [taylor]: Taking taylor expansion of (- M) in n 8.754 * [taylor]: Taking taylor expansion of M in n 8.754 * [backup-simplify]: Simplify M into M 8.754 * [backup-simplify]: Simplify (- M) into (- M) 8.754 * [backup-simplify]: Simplify (- M) into (- M) 8.754 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.754 * [backup-simplify]: Simplify (- M) into (- M) 8.754 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.754 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.754 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.755 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.755 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 8.755 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.755 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.755 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.755 * [taylor]: Taking taylor expansion of 1/2 in M 8.755 * [backup-simplify]: Simplify 1/2 into 1/2 8.755 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.755 * [taylor]: Taking taylor expansion of (- M) in M 8.755 * [taylor]: Taking taylor expansion of M in M 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.755 * [backup-simplify]: Simplify (- 0) into 0 8.755 * [backup-simplify]: Simplify (- 1) into -1 8.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.756 * [backup-simplify]: Simplify (- 0) into 0 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (- 0) into 0 8.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.757 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 8.757 * [backup-simplify]: Simplify (- 0) into 0 8.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.758 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 8.758 * [backup-simplify]: Simplify (- 0) into 0 8.759 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [taylor]: Taking taylor expansion of 0 in n 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [taylor]: Taking taylor expansion of 0 in M 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.759 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 8.759 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.759 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.759 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (/ 1 (* m K)) in M 8.759 * [taylor]: Taking taylor expansion of (* m K) in M 8.759 * [taylor]: Taking taylor expansion of m in M 8.759 * [backup-simplify]: Simplify m into m 8.759 * [taylor]: Taking taylor expansion of K in M 8.759 * [backup-simplify]: Simplify K into K 8.760 * [backup-simplify]: Simplify (* m K) into (* m K) 8.760 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.760 * [taylor]: Taking taylor expansion of 1/2 in M 8.760 * [backup-simplify]: Simplify 1/2 into 1/2 8.760 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.760 * [taylor]: Taking taylor expansion of (* K n) in M 8.760 * [taylor]: Taking taylor expansion of K in M 8.760 * [backup-simplify]: Simplify K into K 8.760 * [taylor]: Taking taylor expansion of n in M 8.760 * [backup-simplify]: Simplify n into n 8.760 * [backup-simplify]: Simplify (* K n) into (* K n) 8.760 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.760 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.760 * [taylor]: Taking taylor expansion of M in M 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (/ 1 1) into 1 8.761 * [backup-simplify]: Simplify (- 1) into -1 8.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.762 * [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))) 8.762 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.762 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.762 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.762 * [taylor]: Taking taylor expansion of 1/2 in n 8.762 * [backup-simplify]: Simplify 1/2 into 1/2 8.762 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.762 * [taylor]: Taking taylor expansion of (* m K) in n 8.762 * [taylor]: Taking taylor expansion of m in n 8.762 * [backup-simplify]: Simplify m into m 8.762 * [taylor]: Taking taylor expansion of K in n 8.762 * [backup-simplify]: Simplify K into K 8.762 * [backup-simplify]: Simplify (* m K) into (* m K) 8.762 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.762 * [taylor]: Taking taylor expansion of 1/2 in n 8.762 * [backup-simplify]: Simplify 1/2 into 1/2 8.762 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.762 * [taylor]: Taking taylor expansion of (* K n) in n 8.762 * [taylor]: Taking taylor expansion of K in n 8.763 * [backup-simplify]: Simplify K into K 8.763 * [taylor]: Taking taylor expansion of n in n 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.763 * [backup-simplify]: Simplify (* K 0) into 0 8.763 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.763 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.763 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.763 * [taylor]: Taking taylor expansion of M in n 8.763 * [backup-simplify]: Simplify M into M 8.763 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.763 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.763 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.764 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.764 * [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))) 8.764 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.764 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.764 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.764 * [taylor]: Taking taylor expansion of 1/2 in m 8.764 * [backup-simplify]: Simplify 1/2 into 1/2 8.764 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.764 * [taylor]: Taking taylor expansion of (* m K) 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 * [taylor]: Taking taylor expansion of K in m 8.764 * [backup-simplify]: Simplify K into K 8.764 * [backup-simplify]: Simplify (* 0 K) into 0 8.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.765 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.765 * [taylor]: Taking taylor expansion of 1/2 in m 8.765 * [backup-simplify]: Simplify 1/2 into 1/2 8.765 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.765 * [taylor]: Taking taylor expansion of (* K n) in m 8.765 * [taylor]: Taking taylor expansion of K in m 8.765 * [backup-simplify]: Simplify K into K 8.765 * [taylor]: Taking taylor expansion of n in m 8.765 * [backup-simplify]: Simplify n into n 8.765 * [backup-simplify]: Simplify (* K n) into (* K n) 8.765 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.765 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.765 * [taylor]: Taking taylor expansion of M in m 8.765 * [backup-simplify]: Simplify M into M 8.765 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.765 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.765 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.766 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.766 * [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))) 8.766 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.766 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.766 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.766 * [taylor]: Taking taylor expansion of 1/2 in K 8.766 * [backup-simplify]: Simplify 1/2 into 1/2 8.766 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.766 * [taylor]: Taking taylor expansion of (* m K) in K 8.766 * [taylor]: Taking taylor expansion of m in K 8.766 * [backup-simplify]: Simplify m into m 8.766 * [taylor]: Taking taylor expansion of K in K 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (* m 0) into 0 8.767 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.767 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.767 * [taylor]: Taking taylor expansion of 1/2 in K 8.767 * [backup-simplify]: Simplify 1/2 into 1/2 8.767 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.767 * [taylor]: Taking taylor expansion of (* K n) in K 8.767 * [taylor]: Taking taylor expansion of K in K 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.767 * [taylor]: Taking taylor expansion of n in K 8.767 * [backup-simplify]: Simplify n into n 8.767 * [backup-simplify]: Simplify (* 0 n) into 0 8.768 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.768 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 M) into (/ 1 M) 8.768 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.768 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.768 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.769 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.769 * [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))) 8.769 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.769 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.769 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.769 * [taylor]: Taking taylor expansion of 1/2 in K 8.769 * [backup-simplify]: Simplify 1/2 into 1/2 8.769 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.769 * [taylor]: Taking taylor expansion of (* m K) in K 8.769 * [taylor]: Taking taylor expansion of m in K 8.769 * [backup-simplify]: Simplify m into m 8.769 * [taylor]: Taking taylor expansion of K in K 8.769 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify 1 into 1 8.769 * [backup-simplify]: Simplify (* m 0) into 0 8.770 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.770 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.770 * [taylor]: Taking taylor expansion of 1/2 in K 8.770 * [backup-simplify]: Simplify 1/2 into 1/2 8.770 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.770 * [taylor]: Taking taylor expansion of (* K n) in K 8.770 * [taylor]: Taking taylor expansion of K in K 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 1 into 1 8.770 * [taylor]: Taking taylor expansion of n in K 8.770 * [backup-simplify]: Simplify n into n 8.770 * [backup-simplify]: Simplify (* 0 n) into 0 8.771 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.771 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.771 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.771 * [taylor]: Taking taylor expansion of M in K 8.771 * [backup-simplify]: Simplify M into M 8.771 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.771 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.771 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.772 * [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))) 8.772 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.772 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.772 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.772 * [taylor]: Taking taylor expansion of 1/2 in m 8.772 * [backup-simplify]: Simplify 1/2 into 1/2 8.772 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.772 * [taylor]: Taking taylor expansion of (* m K) in m 8.772 * [taylor]: Taking taylor expansion of m in m 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [taylor]: Taking taylor expansion of K in m 8.772 * [backup-simplify]: Simplify K into K 8.772 * [backup-simplify]: Simplify (* 0 K) into 0 8.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.773 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.773 * [taylor]: Taking taylor expansion of 1/2 in m 8.773 * [backup-simplify]: Simplify 1/2 into 1/2 8.773 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.773 * [taylor]: Taking taylor expansion of (* K n) in m 8.773 * [taylor]: Taking taylor expansion of K in m 8.773 * [backup-simplify]: Simplify K into K 8.773 * [taylor]: Taking taylor expansion of n in m 8.773 * [backup-simplify]: Simplify n into n 8.773 * [backup-simplify]: Simplify (* K n) into (* K n) 8.773 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.773 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.773 * [taylor]: Taking taylor expansion of M in m 8.773 * [backup-simplify]: Simplify M into M 8.773 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.773 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.773 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.773 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.774 * [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))) 8.774 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.774 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.774 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.774 * [taylor]: Taking taylor expansion of 1/2 in n 8.774 * [backup-simplify]: Simplify 1/2 into 1/2 8.774 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.774 * [taylor]: Taking taylor expansion of (* m K) in n 8.774 * [taylor]: Taking taylor expansion of m in n 8.774 * [backup-simplify]: Simplify m into m 8.774 * [taylor]: Taking taylor expansion of K in n 8.774 * [backup-simplify]: Simplify K into K 8.774 * [backup-simplify]: Simplify (* m K) into (* m K) 8.774 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.774 * [taylor]: Taking taylor expansion of 1/2 in n 8.774 * [backup-simplify]: Simplify 1/2 into 1/2 8.774 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.774 * [taylor]: Taking taylor expansion of (* K n) in n 8.774 * [taylor]: Taking taylor expansion of K in n 8.774 * [backup-simplify]: Simplify K into K 8.774 * [taylor]: Taking taylor expansion of n in n 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 1 into 1 8.774 * [backup-simplify]: Simplify (* K 0) into 0 8.775 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.775 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.775 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.775 * [taylor]: Taking taylor expansion of M in n 8.775 * [backup-simplify]: Simplify M into M 8.775 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.775 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.775 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.775 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.776 * [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))) 8.776 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.776 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.776 * [taylor]: Taking taylor expansion of 1/2 in M 8.776 * [backup-simplify]: Simplify 1/2 into 1/2 8.776 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.776 * [taylor]: Taking taylor expansion of (* m K) in M 8.776 * [taylor]: Taking taylor expansion of m in M 8.776 * [backup-simplify]: Simplify m into m 8.776 * [taylor]: Taking taylor expansion of K in M 8.776 * [backup-simplify]: Simplify K into K 8.776 * [backup-simplify]: Simplify (* m K) into (* m K) 8.776 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.776 * [taylor]: Taking taylor expansion of 1/2 in M 8.776 * [backup-simplify]: Simplify 1/2 into 1/2 8.776 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.776 * [taylor]: Taking taylor expansion of (* K n) in M 8.776 * [taylor]: Taking taylor expansion of K in M 8.776 * [backup-simplify]: Simplify K into K 8.776 * [taylor]: Taking taylor expansion of n in M 8.776 * [backup-simplify]: Simplify n into n 8.776 * [backup-simplify]: Simplify (* K n) into (* K n) 8.777 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.777 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.777 * [taylor]: Taking taylor expansion of M in M 8.777 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify 1 into 1 8.777 * [backup-simplify]: Simplify (/ 1 1) into 1 8.778 * [backup-simplify]: Simplify (- 1) into -1 8.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.778 * [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))) 8.779 * [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))) 8.779 * [taylor]: Taking taylor expansion of 0 in m 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in n 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in M 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in n 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in M 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in M 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in m 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in n 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in M 8.779 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in n 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in M 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [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)) 8.780 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.780 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 8.781 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.781 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.781 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.781 * [taylor]: Taking taylor expansion of M in M 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.781 * [backup-simplify]: Simplify (/ 1 1) into 1 8.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.781 * [taylor]: Taking taylor expansion of 1/2 in M 8.781 * [backup-simplify]: Simplify 1/2 into 1/2 8.781 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.781 * [taylor]: Taking taylor expansion of (* m K) in M 8.781 * [taylor]: Taking taylor expansion of m in M 8.781 * [backup-simplify]: Simplify m into m 8.781 * [taylor]: Taking taylor expansion of K in M 8.781 * [backup-simplify]: Simplify K into K 8.782 * [backup-simplify]: Simplify (* m K) into (* m K) 8.782 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.782 * [taylor]: Taking taylor expansion of 1/2 in M 8.782 * [backup-simplify]: Simplify 1/2 into 1/2 8.782 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.782 * [taylor]: Taking taylor expansion of (* K n) in M 8.782 * [taylor]: Taking taylor expansion of K in M 8.782 * [backup-simplify]: Simplify K into K 8.782 * [taylor]: Taking taylor expansion of n in M 8.782 * [backup-simplify]: Simplify n into n 8.782 * [backup-simplify]: Simplify (* K n) into (* K n) 8.782 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.782 * [backup-simplify]: Simplify (+ 1 0) into 1 8.783 * [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)))))) 8.783 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.783 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.783 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.783 * [taylor]: Taking taylor expansion of M in n 8.783 * [backup-simplify]: Simplify M into M 8.783 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.783 * [taylor]: Taking taylor expansion of 1/2 in n 8.783 * [backup-simplify]: Simplify 1/2 into 1/2 8.783 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.783 * [taylor]: Taking taylor expansion of (* m K) in n 8.783 * [taylor]: Taking taylor expansion of m in n 8.783 * [backup-simplify]: Simplify m into m 8.783 * [taylor]: Taking taylor expansion of K in n 8.783 * [backup-simplify]: Simplify K into K 8.783 * [backup-simplify]: Simplify (* m K) into (* m K) 8.783 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.783 * [taylor]: Taking taylor expansion of 1/2 in n 8.783 * [backup-simplify]: Simplify 1/2 into 1/2 8.784 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 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 * [backup-simplify]: Simplify (* K 0) into 0 8.784 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.784 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.784 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.784 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.784 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.785 * [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)))))) 8.785 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.785 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.785 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.785 * [taylor]: Taking taylor expansion of M in m 8.785 * [backup-simplify]: Simplify M into M 8.785 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.785 * [taylor]: Taking taylor expansion of 1/2 in m 8.785 * [backup-simplify]: Simplify 1/2 into 1/2 8.785 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.785 * [taylor]: Taking taylor expansion of (* m K) in m 8.785 * [taylor]: Taking taylor expansion of m in m 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [taylor]: Taking taylor expansion of K in m 8.785 * [backup-simplify]: Simplify K into K 8.785 * [backup-simplify]: Simplify (* 0 K) into 0 8.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.786 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.786 * [taylor]: Taking taylor expansion of 1/2 in m 8.786 * [backup-simplify]: Simplify 1/2 into 1/2 8.786 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.786 * [taylor]: Taking taylor expansion of (* K n) in m 8.786 * [taylor]: Taking taylor expansion of K in m 8.786 * [backup-simplify]: Simplify K into K 8.786 * [taylor]: Taking taylor expansion of n in m 8.786 * [backup-simplify]: Simplify n into n 8.786 * [backup-simplify]: Simplify (* K n) into (* K n) 8.786 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.786 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.786 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.786 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.787 * [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)))))) 8.787 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.787 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.787 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.787 * [taylor]: Taking taylor expansion of M in K 8.787 * [backup-simplify]: Simplify M into M 8.787 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.787 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.787 * [taylor]: Taking taylor expansion of 1/2 in K 8.787 * [backup-simplify]: Simplify 1/2 into 1/2 8.787 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.787 * [taylor]: Taking taylor expansion of (* m K) in K 8.787 * [taylor]: Taking taylor expansion of m in K 8.787 * [backup-simplify]: Simplify m into m 8.787 * [taylor]: Taking taylor expansion of K in K 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (* m 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.788 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.788 * [taylor]: Taking taylor expansion of 1/2 in K 8.788 * [backup-simplify]: Simplify 1/2 into 1/2 8.788 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.788 * [taylor]: Taking taylor expansion of (* K n) in K 8.788 * [taylor]: Taking taylor expansion of K in K 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [taylor]: Taking taylor expansion of n in K 8.788 * [backup-simplify]: Simplify n into n 8.788 * [backup-simplify]: Simplify (* 0 n) into 0 8.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.789 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.789 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.789 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.789 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.789 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.789 * [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)))))) 8.789 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.790 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.790 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.790 * [taylor]: Taking taylor expansion of M in K 8.790 * [backup-simplify]: Simplify M into M 8.790 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.790 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.790 * [taylor]: Taking taylor expansion of 1/2 in K 8.790 * [backup-simplify]: Simplify 1/2 into 1/2 8.790 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.790 * [taylor]: Taking taylor expansion of (* m K) in K 8.790 * [taylor]: Taking taylor expansion of m in K 8.790 * [backup-simplify]: Simplify m into m 8.790 * [taylor]: Taking taylor expansion of K in K 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 1 into 1 8.790 * [backup-simplify]: Simplify (* m 0) into 0 8.791 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.791 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.791 * [taylor]: Taking taylor expansion of 1/2 in K 8.791 * [backup-simplify]: Simplify 1/2 into 1/2 8.791 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.791 * [taylor]: Taking taylor expansion of (* K n) in K 8.791 * [taylor]: Taking taylor expansion of K in K 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.791 * [taylor]: Taking taylor expansion of n in K 8.791 * [backup-simplify]: Simplify n into n 8.791 * [backup-simplify]: Simplify (* 0 n) into 0 8.791 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.791 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.792 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.792 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.792 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.792 * [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)))))) 8.792 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.792 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.792 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.792 * [taylor]: Taking taylor expansion of M in m 8.792 * [backup-simplify]: Simplify M into M 8.792 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.792 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.792 * [taylor]: Taking taylor expansion of 1/2 in m 8.792 * [backup-simplify]: Simplify 1/2 into 1/2 8.793 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.793 * [taylor]: Taking taylor expansion of (* m K) in m 8.793 * [taylor]: Taking taylor expansion of m in m 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 1 into 1 8.793 * [taylor]: Taking taylor expansion of K in m 8.793 * [backup-simplify]: Simplify K into K 8.793 * [backup-simplify]: Simplify (* 0 K) into 0 8.793 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.793 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.793 * [taylor]: Taking taylor expansion of 1/2 in m 8.793 * [backup-simplify]: Simplify 1/2 into 1/2 8.793 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.793 * [taylor]: Taking taylor expansion of (* K n) in m 8.793 * [taylor]: Taking taylor expansion of K in m 8.793 * [backup-simplify]: Simplify K into K 8.793 * [taylor]: Taking taylor expansion of n in m 8.793 * [backup-simplify]: Simplify n into n 8.793 * [backup-simplify]: Simplify (* K n) into (* K n) 8.794 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.794 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.794 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.794 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.794 * [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)))))) 8.794 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.794 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.794 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.794 * [taylor]: Taking taylor expansion of M in n 8.794 * [backup-simplify]: Simplify M into M 8.794 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.794 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.794 * [taylor]: Taking taylor expansion of 1/2 in n 8.794 * [backup-simplify]: Simplify 1/2 into 1/2 8.794 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.794 * [taylor]: Taking taylor expansion of (* m K) in n 8.794 * [taylor]: Taking taylor expansion of m in n 8.795 * [backup-simplify]: Simplify m into m 8.795 * [taylor]: Taking taylor expansion of K in n 8.795 * [backup-simplify]: Simplify K into K 8.795 * [backup-simplify]: Simplify (* m K) into (* m K) 8.795 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.795 * [taylor]: Taking taylor expansion of 1/2 in n 8.795 * [backup-simplify]: Simplify 1/2 into 1/2 8.795 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.795 * [taylor]: Taking taylor expansion of (* K n) in n 8.795 * [taylor]: Taking taylor expansion of K in n 8.795 * [backup-simplify]: Simplify K into K 8.795 * [taylor]: Taking taylor expansion of n in n 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (* K 0) into 0 8.795 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.796 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.796 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.796 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.796 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.796 * [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)))))) 8.796 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.796 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.796 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.796 * [taylor]: Taking taylor expansion of M in M 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.797 * [taylor]: Taking taylor expansion of 1/2 in M 8.797 * [backup-simplify]: Simplify 1/2 into 1/2 8.797 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.797 * [taylor]: Taking taylor expansion of (* m K) in M 8.797 * [taylor]: Taking taylor expansion of m in M 8.797 * [backup-simplify]: Simplify m into m 8.797 * [taylor]: Taking taylor expansion of K in M 8.797 * [backup-simplify]: Simplify K into K 8.797 * [backup-simplify]: Simplify (* m K) into (* m K) 8.797 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.797 * [taylor]: Taking taylor expansion of 1/2 in M 8.797 * [backup-simplify]: Simplify 1/2 into 1/2 8.797 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.797 * [taylor]: Taking taylor expansion of (* K n) in M 8.797 * [taylor]: Taking taylor expansion of K in M 8.797 * [backup-simplify]: Simplify K into K 8.797 * [taylor]: Taking taylor expansion of n in M 8.797 * [backup-simplify]: Simplify n into n 8.797 * [backup-simplify]: Simplify (* K n) into (* K n) 8.797 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.798 * [backup-simplify]: Simplify (+ 1 0) into 1 8.798 * [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)))))) 8.798 * [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)))))) 8.799 * [taylor]: Taking taylor expansion of 0 in m 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in n 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in M 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in n 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in M 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in M 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in m 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in n 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in M 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in n 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [taylor]: Taking taylor expansion of 0 in M 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 0 into 0 8.800 * [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)) 8.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 8.800 * [backup-simplify]: Simplify (cbrt (cos (- (* K (/ (+ m n) 2)) M))) into (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) 8.800 * [approximate]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in (K m n M) around 0 8.800 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in M 8.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in M 8.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in M 8.800 * [taylor]: Taking taylor expansion of 1/3 in M 8.800 * [backup-simplify]: Simplify 1/3 into 1/3 8.800 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in M 8.800 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.800 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.801 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.801 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.801 * [taylor]: Taking taylor expansion of 1/2 in M 8.801 * [backup-simplify]: Simplify 1/2 into 1/2 8.801 * [taylor]: Taking taylor expansion of (* K n) in M 8.801 * [taylor]: Taking taylor expansion of K in M 8.801 * [backup-simplify]: Simplify K into K 8.801 * [taylor]: Taking taylor expansion of n in M 8.801 * [backup-simplify]: Simplify n into n 8.801 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.801 * [taylor]: Taking taylor expansion of 1/2 in M 8.801 * [backup-simplify]: Simplify 1/2 into 1/2 8.801 * [taylor]: Taking taylor expansion of (* K m) in M 8.801 * [taylor]: Taking taylor expansion of K in M 8.801 * [backup-simplify]: Simplify K into K 8.801 * [taylor]: Taking taylor expansion of m in M 8.801 * [backup-simplify]: Simplify m into m 8.801 * [taylor]: Taking taylor expansion of M in M 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (* K n) into (* K n) 8.801 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.801 * [backup-simplify]: Simplify (* K m) into (* K m) 8.801 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.801 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.802 * [backup-simplify]: Simplify (- 0) into 0 8.802 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.803 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.803 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.803 * [backup-simplify]: Simplify (* (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.803 * [backup-simplify]: Simplify (* (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into 0 8.804 * [backup-simplify]: Simplify (- 0) into 0 8.804 * [backup-simplify]: Simplify (+ (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.804 * [backup-simplify]: Simplify (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) into (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) 8.804 * [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)))))) 8.804 * [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) 8.804 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in n 8.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in n 8.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in n 8.805 * [taylor]: Taking taylor expansion of 1/3 in n 8.805 * [backup-simplify]: Simplify 1/3 into 1/3 8.805 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in n 8.805 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.805 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.805 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.805 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.805 * [taylor]: Taking taylor expansion of 1/2 in n 8.805 * [backup-simplify]: Simplify 1/2 into 1/2 8.805 * [taylor]: Taking taylor expansion of (* K n) in n 8.805 * [taylor]: Taking taylor expansion of K in n 8.805 * [backup-simplify]: Simplify K into K 8.805 * [taylor]: Taking taylor expansion of n in n 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.805 * [taylor]: Taking taylor expansion of 1/2 in n 8.805 * [backup-simplify]: Simplify 1/2 into 1/2 8.805 * [taylor]: Taking taylor expansion of (* K m) in n 8.805 * [taylor]: Taking taylor expansion of K in n 8.805 * [backup-simplify]: Simplify K into K 8.805 * [taylor]: Taking taylor expansion of m in n 8.805 * [backup-simplify]: Simplify m into m 8.805 * [taylor]: Taking taylor expansion of M in n 8.805 * [backup-simplify]: Simplify M into M 8.805 * [backup-simplify]: Simplify (* K 0) into 0 8.806 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.806 * [backup-simplify]: Simplify (* K m) into (* K m) 8.806 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.806 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.806 * [backup-simplify]: Simplify (- M) into (- M) 8.806 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.806 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.806 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.807 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K m)) M)) 1) into (cos (- (* 1/2 (* K m)) M)) 8.807 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K m)) M)) 0) into 0 8.807 * [backup-simplify]: Simplify (- 0) into 0 8.807 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K m)) M)) 0) into (cos (- (* 1/2 (* K m)) M)) 8.807 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K m)) M))) into (log (cos (- (* 1/2 (* K m)) M))) 8.808 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) 8.808 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K m)) M))))) into (pow (cos (- (* 1/2 (* K m)) M)) 1/3) 8.808 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in m 8.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in m 8.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in m 8.808 * [taylor]: Taking taylor expansion of 1/3 in m 8.808 * [backup-simplify]: Simplify 1/3 into 1/3 8.808 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in m 8.808 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.808 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.808 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.808 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) 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 (* K n) in m 8.808 * [taylor]: Taking taylor expansion of K in m 8.808 * [backup-simplify]: Simplify K into K 8.808 * [taylor]: Taking taylor expansion of n in m 8.808 * [backup-simplify]: Simplify n into n 8.808 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) 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 (* K m) in m 8.808 * [taylor]: Taking taylor expansion of K in m 8.808 * [backup-simplify]: Simplify K into K 8.808 * [taylor]: Taking taylor expansion of m in m 8.808 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify 1 into 1 8.809 * [taylor]: Taking taylor expansion of M in m 8.809 * [backup-simplify]: Simplify M into M 8.809 * [backup-simplify]: Simplify (* K n) into (* K n) 8.809 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.809 * [backup-simplify]: Simplify (* K 0) into 0 8.809 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.810 * [backup-simplify]: Simplify (- M) into (- M) 8.810 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.810 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.810 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.810 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 8.810 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 8.811 * [backup-simplify]: Simplify (- 0) into 0 8.811 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 8.811 * [backup-simplify]: Simplify (log (cos (- (* 1/2 (* K n)) M))) into (log (cos (- (* 1/2 (* K n)) M))) 8.811 * [backup-simplify]: Simplify (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) 8.811 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) into (pow (cos (- (* 1/2 (* K n)) M)) 1/3) 8.811 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in K 8.811 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in K 8.811 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in K 8.811 * [taylor]: Taking taylor expansion of 1/3 in K 8.811 * [backup-simplify]: Simplify 1/3 into 1/3 8.811 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in K 8.811 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.811 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.811 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.812 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.812 * [taylor]: Taking taylor expansion of 1/2 in K 8.812 * [backup-simplify]: Simplify 1/2 into 1/2 8.812 * [taylor]: Taking taylor expansion of (* K n) in K 8.812 * [taylor]: Taking taylor expansion of K in K 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [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 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.812 * [taylor]: Taking taylor expansion of 1/2 in K 8.812 * [backup-simplify]: Simplify 1/2 into 1/2 8.812 * [taylor]: Taking taylor expansion of (* K m) in K 8.812 * [taylor]: Taking taylor expansion of K in K 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [taylor]: Taking taylor expansion of m in K 8.812 * [backup-simplify]: Simplify m into m 8.812 * [taylor]: Taking taylor expansion of M in K 8.812 * [backup-simplify]: Simplify M into M 8.812 * [backup-simplify]: Simplify (* 0 n) into 0 8.812 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.813 * [backup-simplify]: Simplify (* 0 m) into 0 8.813 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.813 * [backup-simplify]: Simplify (+ 0 0) into 0 8.813 * [backup-simplify]: Simplify (- M) into (- M) 8.813 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.814 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.814 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.814 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.814 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.814 * [backup-simplify]: Simplify (- 0) into 0 8.814 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.814 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.814 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.814 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.815 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1/3) in K 8.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))))) in K 8.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)))) in K 8.815 * [taylor]: Taking taylor expansion of 1/3 in K 8.815 * [backup-simplify]: Simplify 1/3 into 1/3 8.815 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M))) in K 8.815 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.815 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.815 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.815 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.815 * [taylor]: Taking taylor expansion of 1/2 in K 8.815 * [backup-simplify]: Simplify 1/2 into 1/2 8.815 * [taylor]: Taking taylor expansion of (* K n) in K 8.815 * [taylor]: Taking taylor expansion of K in K 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [taylor]: Taking taylor expansion of n in K 8.815 * [backup-simplify]: Simplify n into n 8.815 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.815 * [taylor]: Taking taylor expansion of 1/2 in K 8.815 * [backup-simplify]: Simplify 1/2 into 1/2 8.815 * [taylor]: Taking taylor expansion of (* K m) in K 8.815 * [taylor]: Taking taylor expansion of K in K 8.815 * [backup-simplify]: Simplify 0 into 0 8.815 * [backup-simplify]: Simplify 1 into 1 8.815 * [taylor]: Taking taylor expansion of m in K 8.815 * [backup-simplify]: Simplify m into m 8.815 * [taylor]: Taking taylor expansion of M in K 8.815 * [backup-simplify]: Simplify M into M 8.815 * [backup-simplify]: Simplify (* 0 n) into 0 8.816 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.816 * [backup-simplify]: Simplify (* 0 m) into 0 8.816 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.817 * [backup-simplify]: Simplify (+ 0 0) into 0 8.817 * [backup-simplify]: Simplify (- M) into (- M) 8.817 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.817 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.817 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.817 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.817 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.817 * [backup-simplify]: Simplify (- 0) into 0 8.817 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.817 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.818 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.818 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.818 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in m 8.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m 8.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m 8.818 * [taylor]: Taking taylor expansion of 1/3 in m 8.818 * [backup-simplify]: Simplify 1/3 into 1/3 8.818 * [taylor]: Taking taylor expansion of (log (cos (- M))) in m 8.818 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.818 * [taylor]: Taking taylor expansion of (- 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 (- M) into (- M) 8.818 * [backup-simplify]: Simplify (- M) into (- M) 8.818 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.818 * [backup-simplify]: Simplify (- M) into (- M) 8.818 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.818 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.818 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.819 * [backup-simplify]: Simplify (- 0) into 0 8.819 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.819 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.819 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.819 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.819 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in n 8.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n 8.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n 8.819 * [taylor]: Taking taylor expansion of 1/3 in n 8.819 * [backup-simplify]: Simplify 1/3 into 1/3 8.819 * [taylor]: Taking taylor expansion of (log (cos (- M))) in n 8.819 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.819 * [taylor]: Taking taylor expansion of (- M) in n 8.819 * [taylor]: Taking taylor expansion of M in n 8.819 * [backup-simplify]: Simplify M into M 8.819 * [backup-simplify]: Simplify (- M) into (- M) 8.819 * [backup-simplify]: Simplify (- M) into (- M) 8.819 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.820 * [backup-simplify]: Simplify (- M) into (- M) 8.820 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.820 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.820 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.820 * [backup-simplify]: Simplify (- 0) into 0 8.820 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.820 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.820 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.820 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.820 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in M 8.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in M 8.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in M 8.821 * [taylor]: Taking taylor expansion of 1/3 in M 8.821 * [backup-simplify]: Simplify 1/3 into 1/3 8.821 * [taylor]: Taking taylor expansion of (log (cos (- M))) in M 8.821 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.821 * [taylor]: Taking taylor expansion of (- M) in M 8.821 * [taylor]: Taking taylor expansion of M in M 8.821 * [backup-simplify]: Simplify 0 into 0 8.821 * [backup-simplify]: Simplify 1 into 1 8.821 * [backup-simplify]: Simplify (- 0) into 0 8.821 * [backup-simplify]: Simplify (- 1) into -1 8.822 * [backup-simplify]: Simplify (log 1) into 0 8.822 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.823 * [backup-simplify]: Simplify (+ 0) into 0 8.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 8.825 * [backup-simplify]: Simplify (- 1) into -1 8.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 8.828 * [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 8.829 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 8.829 * [backup-simplify]: Simplify (exp 0) into 1 8.829 * [backup-simplify]: Simplify 1 into 1 8.830 * [backup-simplify]: Simplify (+ 0) into 0 8.830 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.831 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 8.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 8.832 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 8.832 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 8.832 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 8.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 8.835 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 8.835 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.836 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M)))))) 8.837 * [backup-simplify]: Simplify (+ (* 1/3 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M))))))) (* 0 (log (cos (- M))))) into (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 8.838 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3))) 8.838 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3))) in m 8.838 * [taylor]: Taking taylor expansion of -1 in m 8.838 * [backup-simplify]: Simplify -1 into -1 8.838 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3)) in m 8.838 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) in m 8.838 * [taylor]: Taking taylor expansion of (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) in m 8.838 * [taylor]: Taking taylor expansion of 1/6 in m 8.838 * [backup-simplify]: Simplify 1/6 into 1/6 8.838 * [taylor]: Taking taylor expansion of (/ (* (sin (- M)) n) (cos (- M))) in m 8.838 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 8.838 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.838 * [taylor]: Taking taylor expansion of (- 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 (- M) into (- M) 8.838 * [backup-simplify]: Simplify (- M) into (- M) 8.838 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.838 * [backup-simplify]: Simplify (- M) into (- M) 8.838 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.838 * [taylor]: Taking taylor expansion of n in m 8.838 * [backup-simplify]: Simplify n into n 8.838 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.839 * [taylor]: Taking taylor expansion of (- M) in m 8.839 * [taylor]: Taking taylor expansion of M in m 8.839 * [backup-simplify]: Simplify M into M 8.839 * [backup-simplify]: Simplify (- M) into (- M) 8.839 * [backup-simplify]: Simplify (- M) into (- M) 8.839 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.839 * [backup-simplify]: Simplify (- M) into (- M) 8.839 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.839 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.839 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.839 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.839 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 8.839 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.839 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.840 * [backup-simplify]: Simplify (- 0) into 0 8.840 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.840 * [backup-simplify]: Simplify (/ (* (sin (- M)) n) (cos (- M))) into (/ (* (sin (- M)) n) (cos (- M))) 8.840 * [taylor]: Taking taylor expansion of (* 1/6 (/ (* m (sin (- M))) (cos (- M)))) in m 8.840 * [taylor]: Taking taylor expansion of 1/6 in m 8.840 * [backup-simplify]: Simplify 1/6 into 1/6 8.840 * [taylor]: Taking taylor expansion of (/ (* m (sin (- M))) (cos (- M))) in m 8.840 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 8.840 * [taylor]: Taking taylor expansion of m in m 8.840 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify 1 into 1 8.840 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.840 * [taylor]: Taking taylor expansion of (- M) in m 8.840 * [taylor]: Taking taylor expansion of M in m 8.840 * [backup-simplify]: Simplify M into M 8.840 * [backup-simplify]: Simplify (- M) into (- M) 8.840 * [backup-simplify]: Simplify (- M) into (- M) 8.840 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.840 * [backup-simplify]: Simplify (- M) into (- M) 8.840 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.840 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.840 * [taylor]: Taking taylor expansion of (- M) in m 8.840 * [taylor]: Taking taylor expansion of M in m 8.840 * [backup-simplify]: Simplify M into M 8.840 * [backup-simplify]: Simplify (- M) into (- M) 8.840 * [backup-simplify]: Simplify (- M) into (- M) 8.840 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.840 * [backup-simplify]: Simplify (- M) into (- M) 8.841 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.841 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.841 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.841 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.841 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.841 * [backup-simplify]: Simplify (+ 0) into 0 8.841 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.842 * [backup-simplify]: Simplify (- 0) into 0 8.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.842 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.843 * [backup-simplify]: Simplify (+ 0 0) into 0 8.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.843 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.843 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.844 * [backup-simplify]: Simplify (- 0) into 0 8.844 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.844 * [backup-simplify]: Simplify (/ (sin (- M)) (cos (- M))) into (/ (sin (- M)) (cos (- M))) 8.844 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in m 8.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m 8.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m 8.844 * [taylor]: Taking taylor expansion of 1/3 in m 8.844 * [backup-simplify]: Simplify 1/3 into 1/3 8.844 * [taylor]: Taking taylor expansion of (log (cos (- M))) in m 8.844 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.844 * [taylor]: Taking taylor expansion of (- M) in m 8.844 * [taylor]: Taking taylor expansion of M in m 8.844 * [backup-simplify]: Simplify M into M 8.844 * [backup-simplify]: Simplify (- M) into (- M) 8.844 * [backup-simplify]: Simplify (- M) into (- M) 8.844 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.844 * [backup-simplify]: Simplify (- M) into (- M) 8.844 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.844 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.844 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.845 * [backup-simplify]: Simplify (- 0) into 0 8.845 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.845 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.845 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.845 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.845 * [backup-simplify]: Simplify (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 8.846 * [backup-simplify]: Simplify (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 8.846 * [backup-simplify]: Simplify (* (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (pow (cos (- M)) 1/3)) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))) 8.846 * [backup-simplify]: Simplify (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n)))) into (* -1/6 (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) 8.846 * [taylor]: Taking taylor expansion of (* -1/6 (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in n 8.846 * [taylor]: Taking taylor expansion of -1/6 in n 8.846 * [backup-simplify]: Simplify -1/6 into -1/6 8.846 * [taylor]: Taking taylor expansion of (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in n 8.846 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 8.846 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.846 * [taylor]: Taking taylor expansion of (- M) in n 8.846 * [taylor]: Taking taylor expansion of M in n 8.846 * [backup-simplify]: Simplify M into M 8.846 * [backup-simplify]: Simplify (- M) into (- M) 8.846 * [backup-simplify]: Simplify (- M) into (- M) 8.846 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.847 * [backup-simplify]: Simplify (- M) into (- M) 8.847 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.847 * [taylor]: Taking taylor expansion of n in n 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.847 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n 8.847 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n 8.847 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n 8.847 * [taylor]: Taking taylor expansion of 1/3 in n 8.847 * [backup-simplify]: Simplify 1/3 into 1/3 8.847 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n 8.847 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n 8.847 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in n 8.847 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.847 * [taylor]: Taking taylor expansion of (- M) in n 8.847 * [taylor]: Taking taylor expansion of M in n 8.847 * [backup-simplify]: Simplify M into M 8.847 * [backup-simplify]: Simplify (- M) into (- M) 8.847 * [backup-simplify]: Simplify (- M) into (- M) 8.847 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.847 * [backup-simplify]: Simplify (- M) into (- M) 8.847 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.847 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.847 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.848 * [backup-simplify]: Simplify (- 0) into 0 8.848 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.848 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 8.848 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 8.848 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 8.848 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 8.848 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 8.848 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.849 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.849 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.849 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.849 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into 0 8.849 * [backup-simplify]: Simplify (* -1/6 0) into 0 8.849 * [taylor]: Taking taylor expansion of 0 in M 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify (+ 0) into 0 8.850 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.851 * [backup-simplify]: Simplify (- 0) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.852 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.852 * [backup-simplify]: Simplify (- 0) into 0 8.853 * [backup-simplify]: Simplify (+ 0 0) into 0 8.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 8.855 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.855 * [taylor]: Taking taylor expansion of 0 in n 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [taylor]: Taking taylor expansion of 0 in M 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (+ 0) into 0 8.856 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.856 * [backup-simplify]: Simplify (- 0) into 0 8.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.857 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.858 * [backup-simplify]: Simplify (- 0) into 0 8.858 * [backup-simplify]: Simplify (+ 0 0) into 0 8.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 8.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 8.861 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.861 * [taylor]: Taking taylor expansion of 0 in M 8.861 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.862 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 8.864 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 8.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 8.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.868 * [backup-simplify]: Simplify (- 0) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.870 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 8.870 * [backup-simplify]: Simplify (- 0) into 0 8.871 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/2 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (* 1/2 (* m n)) (* 1/4 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))))) 8.876 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/2 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (* 1/2 (* m n)) (* 1/4 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) (+ (* 0 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M))))))) (* 0 (log (cos (- M)))))) into (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (* m n)) (* 1/24 (pow n 2)))))))) 8.880 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (* m n)) (* 1/24 (pow n 2)))))))) 1) 1)))) into (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) 8.880 * [taylor]: Taking taylor expansion of (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) in m 8.880 * [taylor]: Taking taylor expansion of -1 in m 8.881 * [backup-simplify]: Simplify -1 into -1 8.881 * [taylor]: Taking taylor expansion of (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))))) in m 8.881 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in m 8.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m 8.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m 8.881 * [taylor]: Taking taylor expansion of 1/3 in m 8.881 * [backup-simplify]: Simplify 1/3 into 1/3 8.881 * [taylor]: Taking taylor expansion of (log (cos (- M))) in m 8.881 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.881 * [taylor]: Taking taylor expansion of (- M) in m 8.881 * [taylor]: Taking taylor expansion of M in m 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)) 8.881 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.881 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.882 * [backup-simplify]: Simplify (- 0) into 0 8.882 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.882 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.882 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.882 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.882 * [taylor]: Taking taylor expansion of (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))) in m 8.882 * [taylor]: Taking taylor expansion of (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) in m 8.882 * [taylor]: Taking taylor expansion of 1/18 in m 8.882 * [backup-simplify]: Simplify 1/18 into 1/18 8.882 * [taylor]: Taking taylor expansion of (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2)) in m 8.882 * [taylor]: Taking taylor expansion of (* m (* (pow (sin (- M)) 2) n)) in m 8.882 * [taylor]: Taking taylor expansion of m in m 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify 1 into 1 8.882 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) n) in m 8.883 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in m 8.883 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.883 * [taylor]: Taking taylor expansion of (- M) in m 8.883 * [taylor]: Taking taylor expansion of M in m 8.883 * [backup-simplify]: Simplify M into M 8.883 * [backup-simplify]: Simplify (- M) into (- M) 8.883 * [backup-simplify]: Simplify (- M) into (- M) 8.883 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.883 * [backup-simplify]: Simplify (- M) into (- M) 8.883 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.883 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.883 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.883 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.883 * [taylor]: Taking taylor expansion of n in m 8.883 * [backup-simplify]: Simplify n into n 8.883 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in m 8.883 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.883 * [taylor]: Taking taylor expansion of (- M) in m 8.883 * [taylor]: Taking taylor expansion of M in m 8.883 * [backup-simplify]: Simplify M into M 8.883 * [backup-simplify]: Simplify (- M) into (- M) 8.883 * [backup-simplify]: Simplify (- M) into (- M) 8.883 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.883 * [backup-simplify]: Simplify (- M) into (- M) 8.883 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.884 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.884 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.884 * [backup-simplify]: Simplify (- 0) into 0 8.884 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.884 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 8.884 * [backup-simplify]: Simplify (* (pow (sin (- M)) 2) n) into (* (pow (sin (- M)) 2) n) 8.885 * [backup-simplify]: Simplify (* 0 (* (pow (sin (- M)) 2) n)) into 0 8.885 * [backup-simplify]: Simplify (+ 0) into 0 8.885 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.886 * [backup-simplify]: Simplify (- 0) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.887 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.887 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 (sin (- M)))) into 0 8.888 * [backup-simplify]: Simplify (+ (* (pow (sin (- M)) 2) 0) (* 0 n)) into 0 8.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (pow (sin (- M)) 2) n))) into (* (pow (sin (- M)) 2) n) 8.888 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 8.889 * [backup-simplify]: Simplify (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) 8.889 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))) in m 8.889 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in m 8.889 * [taylor]: Taking taylor expansion of 1/36 in m 8.889 * [backup-simplify]: Simplify 1/36 into 1/36 8.889 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in m 8.889 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in m 8.889 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in m 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 M into M 8.889 * [backup-simplify]: Simplify (- M) into (- M) 8.889 * [backup-simplify]: Simplify (- M) into (- M) 8.889 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.889 * [backup-simplify]: Simplify (- M) into (- M) 8.889 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.889 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.889 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.889 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.889 * [taylor]: Taking taylor expansion of (pow n 2) in m 8.889 * [taylor]: Taking taylor expansion of n in m 8.889 * [backup-simplify]: Simplify n into n 8.890 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in m 8.890 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.890 * [taylor]: Taking taylor expansion of (- M) in m 8.890 * [taylor]: Taking taylor expansion of M in m 8.890 * [backup-simplify]: Simplify M into M 8.890 * [backup-simplify]: Simplify (- M) into (- M) 8.890 * [backup-simplify]: Simplify (- M) into (- M) 8.890 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.890 * [backup-simplify]: Simplify (- M) into (- M) 8.890 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.890 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.890 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.890 * [backup-simplify]: Simplify (- 0) into 0 8.891 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.891 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 8.891 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.891 * [backup-simplify]: Simplify (* (pow (sin (- M)) 2) (pow n 2)) into (* (pow (sin (- M)) 2) (pow n 2)) 8.891 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 8.891 * [backup-simplify]: Simplify (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) 8.891 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))) in m 8.891 * [taylor]: Taking taylor expansion of (* 1/24 (pow n 2)) in m 8.891 * [taylor]: Taking taylor expansion of 1/24 in m 8.891 * [backup-simplify]: Simplify 1/24 into 1/24 8.891 * [taylor]: Taking taylor expansion of (pow n 2) in m 8.891 * [taylor]: Taking taylor expansion of n in m 8.891 * [backup-simplify]: Simplify n into n 8.891 * [taylor]: Taking taylor expansion of (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))) in m 8.891 * [taylor]: Taking taylor expansion of (* 1/24 (pow m 2)) in m 8.891 * [taylor]: Taking taylor expansion of 1/24 in m 8.892 * [backup-simplify]: Simplify 1/24 into 1/24 8.892 * [taylor]: Taking taylor expansion of (pow m 2) in m 8.892 * [taylor]: Taking taylor expansion of m in m 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [taylor]: Taking taylor expansion of (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))) in m 8.892 * [taylor]: Taking taylor expansion of (* 1/12 (* m n)) in m 8.892 * [taylor]: Taking taylor expansion of 1/12 in m 8.892 * [backup-simplify]: Simplify 1/12 into 1/12 8.892 * [taylor]: Taking taylor expansion of (* m n) in m 8.892 * [taylor]: Taking taylor expansion of m in m 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [taylor]: Taking taylor expansion of n in m 8.892 * [backup-simplify]: Simplify n into n 8.892 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) in m 8.892 * [taylor]: Taking taylor expansion of 1/36 in m 8.892 * [backup-simplify]: Simplify 1/36 into 1/36 8.892 * [taylor]: Taking taylor expansion of (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) in m 8.892 * [taylor]: Taking taylor expansion of (* (pow m 2) (pow (sin (- M)) 2)) in m 8.892 * [taylor]: Taking taylor expansion of (pow m 2) in m 8.892 * [taylor]: Taking taylor expansion of m in m 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in m 8.892 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.892 * [taylor]: Taking taylor expansion of (- M) in m 8.892 * [taylor]: Taking taylor expansion of M in m 8.892 * [backup-simplify]: Simplify M into M 8.892 * [backup-simplify]: Simplify (- M) into (- M) 8.892 * [backup-simplify]: Simplify (- M) into (- M) 8.892 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.892 * [backup-simplify]: Simplify (- M) into (- M) 8.892 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.893 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.893 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.893 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.893 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in m 8.893 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.893 * [taylor]: Taking taylor expansion of (- M) in m 8.893 * [taylor]: Taking taylor expansion of M in m 8.893 * [backup-simplify]: Simplify M into M 8.893 * [backup-simplify]: Simplify (- M) into (- M) 8.893 * [backup-simplify]: Simplify (- M) into (- M) 8.893 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.893 * [backup-simplify]: Simplify (- M) into (- M) 8.893 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.893 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.893 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.894 * [backup-simplify]: Simplify (- 0) into 0 8.894 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.894 * [backup-simplify]: Simplify (* 1 1) into 1 8.894 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 8.895 * [backup-simplify]: Simplify (* 1 (pow (sin (- M)) 2)) into (pow (sin (- M)) 2) 8.895 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 8.895 * [backup-simplify]: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) 8.895 * [backup-simplify]: Simplify (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) into (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) 8.895 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.895 * [backup-simplify]: Simplify (* 1/24 (pow n 2)) into (* 1/24 (pow n 2)) 8.895 * [backup-simplify]: Simplify (* 0 n) into 0 8.896 * [backup-simplify]: Simplify (* 1/12 0) into 0 8.896 * [backup-simplify]: Simplify (+ 0 0) into 0 8.897 * [backup-simplify]: Simplify (+ 0 0) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1/24 (pow n 2)) 0) into (* 1/24 (pow n 2)) 8.897 * [backup-simplify]: Simplify (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) 8.898 * [backup-simplify]: Simplify (+ 0 (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) 8.898 * [backup-simplify]: Simplify (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3)) 8.899 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) into (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) 8.899 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) in n 8.899 * [taylor]: Taking taylor expansion of -1 in n 8.899 * [backup-simplify]: Simplify -1 into -1 8.899 * [taylor]: Taking taylor expansion of (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3)) in n 8.899 * [taylor]: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) in n 8.899 * [taylor]: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in n 8.899 * [taylor]: Taking taylor expansion of 1/36 in n 8.899 * [backup-simplify]: Simplify 1/36 into 1/36 8.899 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in n 8.899 * [taylor]: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in n 8.899 * [taylor]: Taking taylor expansion of (pow (sin (- M)) 2) in n 8.899 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.899 * [taylor]: Taking taylor expansion of (- M) in n 8.899 * [taylor]: Taking taylor expansion of M in n 8.899 * [backup-simplify]: Simplify M into M 8.899 * [backup-simplify]: Simplify (- M) into (- M) 8.900 * [backup-simplify]: Simplify (- M) into (- M) 8.900 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.900 * [backup-simplify]: Simplify (- M) into (- M) 8.900 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.900 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.900 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.900 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.900 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.900 * [taylor]: Taking taylor expansion of n in n 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in n 8.900 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.900 * [taylor]: Taking taylor expansion of (- M) in n 8.900 * [taylor]: Taking taylor expansion of M in n 8.900 * [backup-simplify]: Simplify M into M 8.900 * [backup-simplify]: Simplify (- M) into (- M) 8.900 * [backup-simplify]: Simplify (- M) into (- M) 8.900 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.900 * [backup-simplify]: Simplify (- M) into (- M) 8.900 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.900 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.900 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.901 * [backup-simplify]: Simplify (- 0) into 0 8.901 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.901 * [backup-simplify]: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) 8.902 * [backup-simplify]: Simplify (* 1 1) into 1 8.902 * [backup-simplify]: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) 8.902 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 8.902 * [backup-simplify]: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) 8.902 * [taylor]: Taking taylor expansion of (* 1/24 (pow n 2)) in n 8.902 * [taylor]: Taking taylor expansion of 1/24 in n 8.902 * [backup-simplify]: Simplify 1/24 into 1/24 8.902 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.902 * [taylor]: Taking taylor expansion of n in n 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 1/3) in n 8.902 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n 8.902 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n 8.902 * [taylor]: Taking taylor expansion of 1/3 in n 8.902 * [backup-simplify]: Simplify 1/3 into 1/3 8.902 * [taylor]: Taking taylor expansion of (log (cos (- M))) in n 8.902 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.902 * [taylor]: Taking taylor expansion of (- M) in n 8.902 * [taylor]: Taking taylor expansion of M in n 8.902 * [backup-simplify]: Simplify M into M 8.903 * [backup-simplify]: Simplify (- M) into (- M) 8.903 * [backup-simplify]: Simplify (- M) into (- M) 8.903 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.903 * [backup-simplify]: Simplify (- M) into (- M) 8.903 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.903 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.903 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.903 * [backup-simplify]: Simplify (- 0) into 0 8.903 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.903 * [backup-simplify]: Simplify (log (cos (- M))) into (log (cos (- M))) 8.903 * [backup-simplify]: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) 8.903 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) 8.904 * [backup-simplify]: Simplify (+ 0) into 0 8.904 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.904 * [backup-simplify]: Simplify (- 0) into 0 8.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.905 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.905 * [backup-simplify]: Simplify (- 0) into 0 8.905 * [backup-simplify]: Simplify (+ 0 0) into 0 8.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 8.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 8.907 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.907 * [backup-simplify]: Simplify (+ 0) into 0 8.907 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.908 * [backup-simplify]: Simplify (- 0) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.908 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.909 * [backup-simplify]: Simplify (+ 0 0) into 0 8.909 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 8.909 * [backup-simplify]: Simplify (+ 0) into 0 8.909 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.909 * [backup-simplify]: Simplify (- 0) into 0 8.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.910 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.910 * [backup-simplify]: Simplify (- 0) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (- (/ 0 (cos (- M))) (+ (* (/ (* (sin (- M)) n) (cos (- M))) (/ 0 (cos (- M)))))) into 0 8.912 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (/ (* (sin (- M)) n) (cos (- M))))) into 0 8.912 * [backup-simplify]: Simplify (* 1/6 (/ (sin (- M)) (cos (- M)))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) 8.912 * [backup-simplify]: Simplify (+ 0 (* 1/6 (/ (sin (- M)) (cos (- M))))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) 8.912 * [backup-simplify]: Simplify (+ (* (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) (* (* 1/6 (/ (sin (- M)) (cos (- M)))) (pow (cos (- M)) 1/3))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) 8.913 * [backup-simplify]: Simplify (+ (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) (* 0 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))))) into (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) 8.913 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) in n 8.913 * [taylor]: Taking taylor expansion of (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in n 8.913 * [taylor]: Taking taylor expansion of 1/6 in n 8.914 * [backup-simplify]: Simplify 1/6 into 1/6 8.914 * [taylor]: Taking taylor expansion of (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in n 8.914 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.914 * [taylor]: Taking taylor expansion of (- M) in n 8.914 * [taylor]: Taking taylor expansion of M in n 8.914 * [backup-simplify]: Simplify M into M 8.914 * [backup-simplify]: Simplify (- M) into (- M) 8.914 * [backup-simplify]: Simplify (- M) into (- M) 8.914 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.914 * [backup-simplify]: Simplify (- M) into (- M) 8.914 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.914 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n 8.914 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n 8.914 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n 8.914 * [taylor]: Taking taylor expansion of 1/3 in n 8.914 * [backup-simplify]: Simplify 1/3 into 1/3 8.914 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n 8.914 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n 8.914 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in n 8.914 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.914 * [taylor]: Taking taylor expansion of (- M) in n 8.914 * [taylor]: Taking taylor expansion of M in n 8.914 * [backup-simplify]: Simplify M into M 8.914 * [backup-simplify]: Simplify (- M) into (- M) 8.914 * [backup-simplify]: Simplify (- M) into (- M) 8.915 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.915 * [backup-simplify]: Simplify (- M) into (- M) 8.915 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.915 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.915 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.915 * [backup-simplify]: Simplify (- 0) into 0 8.915 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.916 * [backup-simplify]: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) 8.916 * [backup-simplify]: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) 8.916 * [backup-simplify]: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) 8.916 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) 8.916 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) 8.916 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.916 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.916 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.917 * [backup-simplify]: Simplify (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) 8.917 * [backup-simplify]: Simplify (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) 8.917 * [backup-simplify]: Simplify (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) into (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) 8.917 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) in M 8.917 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) in M 8.917 * [taylor]: Taking taylor expansion of 1/6 in M 8.917 * [backup-simplify]: Simplify 1/6 into 1/6 8.917 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) in M 8.918 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in M 8.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in M 8.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in M 8.918 * [taylor]: Taking taylor expansion of 1/3 in M 8.918 * [backup-simplify]: Simplify 1/3 into 1/3 8.918 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in M 8.918 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in M 8.918 * [taylor]: Taking taylor expansion of (pow (cos (- M)) 2) in M 8.918 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.918 * [taylor]: Taking taylor expansion of (- M) in M 8.918 * [taylor]: Taking taylor expansion of M in M 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 1 into 1 8.918 * [backup-simplify]: Simplify (- 0) into 0 8.919 * [backup-simplify]: Simplify (- 1) into -1 8.919 * [backup-simplify]: Simplify (* 1 1) into 1 8.919 * [backup-simplify]: Simplify (/ 1 1) into 1 8.920 * [backup-simplify]: Simplify (log 1) into 0 8.920 * [backup-simplify]: Simplify (* 1/3 0) into 0 8.921 * [backup-simplify]: Simplify (+ 0) into 0 8.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0 8.924 * [backup-simplify]: Simplify (- 1) into -1 8.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into -1/2 8.926 * [backup-simplify]: Simplify (+ (* 1 -1/2) (+ (* 0 0) (* -1/2 1))) into -1 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 8.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 8.931 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 8.931 * [backup-simplify]: Simplify (exp 0) into 1 8.931 * [taylor]: Taking taylor expansion of (sin (- 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 8.931 * [backup-simplify]: Simplify (- 1) into -1 8.932 * [backup-simplify]: Simplify (* 1 0) into 0 8.932 * [backup-simplify]: Simplify (* 1/6 0) into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.932 * [backup-simplify]: Simplify 0 into 0 8.932 * [backup-simplify]: Simplify (- 0) into 0 8.933 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.933 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 8.934 * [backup-simplify]: Simplify (- 0) into 0 8.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.934 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 8.935 * [backup-simplify]: Simplify (- 0) into 0 8.935 * [backup-simplify]: Simplify (+ 0 0) into 0 8.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- M)) 1)))) 2) into 0 8.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- M)))))) into 0 8.937 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.937 * [taylor]: Taking taylor expansion of 0 in n 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [taylor]: Taking taylor expansion of 0 in M 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.938 * [backup-simplify]: Simplify (cbrt (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M)))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) 8.938 * [approximate]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in (K m n M) around 0 8.938 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M 8.938 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M 8.938 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M 8.938 * [taylor]: Taking taylor expansion of 1/3 in M 8.938 * [backup-simplify]: Simplify 1/3 into 1/3 8.938 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in M 8.938 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.938 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.938 * [taylor]: Taking taylor expansion of 1/2 in M 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.938 * [taylor]: Taking taylor expansion of (* m K) in M 8.938 * [taylor]: Taking taylor expansion of m in M 8.938 * [backup-simplify]: Simplify m into m 8.938 * [taylor]: Taking taylor expansion of K in M 8.938 * [backup-simplify]: Simplify K into K 8.938 * [backup-simplify]: Simplify (* m K) into (* m K) 8.938 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.938 * [taylor]: Taking taylor expansion of 1/2 in M 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.938 * [taylor]: Taking taylor expansion of (* K n) in M 8.938 * [taylor]: Taking taylor expansion of K in M 8.938 * [backup-simplify]: Simplify K into K 8.938 * [taylor]: Taking taylor expansion of n in M 8.938 * [backup-simplify]: Simplify n into n 8.938 * [backup-simplify]: Simplify (* K n) into (* K n) 8.938 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.938 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.938 * [taylor]: Taking taylor expansion of M in M 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify (/ 1 1) into 1 8.939 * [backup-simplify]: Simplify (- 1) into -1 8.939 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.939 * [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))) 8.939 * [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)))) 8.940 * [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))))) 8.940 * [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) 8.940 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n 8.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n 8.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n 8.940 * [taylor]: Taking taylor expansion of 1/3 in n 8.940 * [backup-simplify]: Simplify 1/3 into 1/3 8.940 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n 8.940 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.940 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.940 * [taylor]: Taking taylor expansion of 1/2 in n 8.940 * [backup-simplify]: Simplify 1/2 into 1/2 8.940 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.940 * [taylor]: Taking taylor expansion of (* m K) in n 8.940 * [taylor]: Taking taylor expansion of m in n 8.940 * [backup-simplify]: Simplify m into m 8.940 * [taylor]: Taking taylor expansion of K in n 8.940 * [backup-simplify]: Simplify K into K 8.940 * [backup-simplify]: Simplify (* m K) into (* m K) 8.940 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.940 * [taylor]: Taking taylor expansion of 1/2 in n 8.940 * [backup-simplify]: Simplify 1/2 into 1/2 8.940 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.940 * [taylor]: Taking taylor expansion of (* K n) in n 8.940 * [taylor]: Taking taylor expansion of K in n 8.940 * [backup-simplify]: Simplify K into K 8.940 * [taylor]: Taking taylor expansion of n in n 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 1 into 1 8.940 * [backup-simplify]: Simplify (* K 0) into 0 8.941 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.941 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.941 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.941 * [taylor]: Taking taylor expansion of M in n 8.941 * [backup-simplify]: Simplify M into M 8.941 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.941 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.941 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.941 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.941 * [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))) 8.941 * [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)))) 8.942 * [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))))) 8.942 * [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) 8.942 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m 8.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m 8.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m 8.942 * [taylor]: Taking taylor expansion of 1/3 in m 8.942 * [backup-simplify]: Simplify 1/3 into 1/3 8.942 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in m 8.942 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.942 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.942 * [taylor]: Taking taylor expansion of 1/2 in m 8.942 * [backup-simplify]: Simplify 1/2 into 1/2 8.942 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.942 * [taylor]: Taking taylor expansion of (* m K) in m 8.942 * [taylor]: Taking taylor expansion of m in m 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [taylor]: Taking taylor expansion of K in m 8.942 * [backup-simplify]: Simplify K into K 8.942 * [backup-simplify]: Simplify (* 0 K) into 0 8.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.942 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.942 * [taylor]: Taking taylor expansion of 1/2 in m 8.942 * [backup-simplify]: Simplify 1/2 into 1/2 8.942 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.942 * [taylor]: Taking taylor expansion of (* K n) in m 8.943 * [taylor]: Taking taylor expansion of K in m 8.943 * [backup-simplify]: Simplify K into K 8.943 * [taylor]: Taking taylor expansion of n in m 8.943 * [backup-simplify]: Simplify n into n 8.943 * [backup-simplify]: Simplify (* K n) into (* K n) 8.943 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.943 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.943 * [taylor]: Taking taylor expansion of M in m 8.943 * [backup-simplify]: Simplify M into M 8.943 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.943 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.943 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.943 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.943 * [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))) 8.944 * [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)))) 8.944 * [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))))) 8.944 * [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) 8.944 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in K 8.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in K 8.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in K 8.944 * [taylor]: Taking taylor expansion of 1/3 in K 8.944 * [backup-simplify]: Simplify 1/3 into 1/3 8.944 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in K 8.944 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.944 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.945 * [taylor]: Taking taylor expansion of 1/2 in K 8.945 * [backup-simplify]: Simplify 1/2 into 1/2 8.945 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.945 * [taylor]: Taking taylor expansion of (* m K) in K 8.945 * [taylor]: Taking taylor expansion of m in K 8.945 * [backup-simplify]: Simplify m into m 8.945 * [taylor]: Taking taylor expansion of K in K 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (* m 0) into 0 8.945 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.945 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.945 * [taylor]: Taking taylor expansion of 1/2 in K 8.945 * [backup-simplify]: Simplify 1/2 into 1/2 8.946 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.946 * [taylor]: Taking taylor expansion of (* K n) in K 8.946 * [taylor]: Taking taylor expansion of K in K 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [taylor]: Taking taylor expansion of n in K 8.946 * [backup-simplify]: Simplify n into n 8.946 * [backup-simplify]: Simplify (* 0 n) into 0 8.946 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.946 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.946 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.946 * [taylor]: Taking taylor expansion of M in K 8.946 * [backup-simplify]: Simplify M into M 8.946 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.946 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.946 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.947 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.947 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.947 * [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))) 8.947 * [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)))) 8.948 * [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))))) 8.948 * [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) 8.948 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in K 8.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in K 8.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in K 8.948 * [taylor]: Taking taylor expansion of 1/3 in K 8.948 * [backup-simplify]: Simplify 1/3 into 1/3 8.948 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in K 8.948 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.948 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.948 * [taylor]: Taking taylor expansion of 1/2 in K 8.948 * [backup-simplify]: Simplify 1/2 into 1/2 8.949 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.949 * [taylor]: Taking taylor expansion of (* m K) in K 8.949 * [taylor]: Taking taylor expansion of m in K 8.949 * [backup-simplify]: Simplify m into m 8.949 * [taylor]: Taking taylor expansion of K in K 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify (* m 0) into 0 8.949 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.949 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.949 * [taylor]: Taking taylor expansion of 1/2 in K 8.949 * [backup-simplify]: Simplify 1/2 into 1/2 8.949 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.949 * [taylor]: Taking taylor expansion of (* K n) in K 8.950 * [taylor]: Taking taylor expansion of K in K 8.950 * [backup-simplify]: Simplify 0 into 0 8.950 * [backup-simplify]: Simplify 1 into 1 8.950 * [taylor]: Taking taylor expansion of n in K 8.950 * [backup-simplify]: Simplify n into n 8.950 * [backup-simplify]: Simplify (* 0 n) into 0 8.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.950 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.950 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.950 * [taylor]: Taking taylor expansion of M in K 8.950 * [backup-simplify]: Simplify M into M 8.950 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.950 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.950 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.951 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.951 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.951 * [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))) 8.951 * [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)))) 8.952 * [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))))) 8.952 * [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) 8.952 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m 8.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m 8.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m 8.952 * [taylor]: Taking taylor expansion of 1/3 in m 8.952 * [backup-simplify]: Simplify 1/3 into 1/3 8.952 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in m 8.952 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.952 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.952 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.952 * [taylor]: Taking taylor expansion of 1/2 in m 8.953 * [backup-simplify]: Simplify 1/2 into 1/2 8.953 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.953 * [taylor]: Taking taylor expansion of (* m K) in m 8.953 * [taylor]: Taking taylor expansion of m in m 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.953 * [taylor]: Taking taylor expansion of K in m 8.953 * [backup-simplify]: Simplify K into K 8.953 * [backup-simplify]: Simplify (* 0 K) into 0 8.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.953 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.953 * [taylor]: Taking taylor expansion of 1/2 in m 8.953 * [backup-simplify]: Simplify 1/2 into 1/2 8.953 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.954 * [taylor]: Taking taylor expansion of (* K n) in m 8.954 * [taylor]: Taking taylor expansion of K in m 8.954 * [backup-simplify]: Simplify K into K 8.954 * [taylor]: Taking taylor expansion of n in m 8.954 * [backup-simplify]: Simplify n into n 8.954 * [backup-simplify]: Simplify (* K n) into (* K n) 8.954 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.954 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.954 * [taylor]: Taking taylor expansion of M in m 8.954 * [backup-simplify]: Simplify M into M 8.954 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.954 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.954 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.954 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.954 * [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))) 8.955 * [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)))) 8.955 * [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))))) 8.955 * [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) 8.955 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n 8.955 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n 8.955 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n 8.956 * [taylor]: Taking taylor expansion of 1/3 in n 8.956 * [backup-simplify]: Simplify 1/3 into 1/3 8.956 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n 8.956 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.956 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.956 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.956 * [taylor]: Taking taylor expansion of 1/2 in n 8.956 * [backup-simplify]: Simplify 1/2 into 1/2 8.956 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.956 * [taylor]: Taking taylor expansion of (* m K) in n 8.956 * [taylor]: Taking taylor expansion of m in n 8.956 * [backup-simplify]: Simplify m into m 8.956 * [taylor]: Taking taylor expansion of K in n 8.956 * [backup-simplify]: Simplify K into K 8.956 * [backup-simplify]: Simplify (* m K) into (* m K) 8.956 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.956 * [taylor]: Taking taylor expansion of 1/2 in n 8.956 * [backup-simplify]: Simplify 1/2 into 1/2 8.956 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.956 * [taylor]: Taking taylor expansion of (* K n) 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 n in n 8.956 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify 1 into 1 8.956 * [backup-simplify]: Simplify (* K 0) into 0 8.957 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.957 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.957 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.957 * [taylor]: Taking taylor expansion of M in n 8.957 * [backup-simplify]: Simplify M into M 8.957 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.957 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.957 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.957 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.958 * [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))) 8.958 * [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)))) 8.958 * [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))))) 8.959 * [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) 8.959 * [taylor]: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M 8.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M 8.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M 8.959 * [taylor]: Taking taylor expansion of 1/3 in M 8.959 * [backup-simplify]: Simplify 1/3 into 1/3 8.959 * [taylor]: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in M 8.959 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.959 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.959 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.959 * [taylor]: Taking taylor expansion of 1/2 in M 8.959 * [backup-simplify]: Simplify 1/2 into 1/2 8.959 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.959 * [taylor]: Taking taylor expansion of (* m K) in M 8.959 * [taylor]: Taking taylor expansion of m in M 8.959 * [backup-simplify]: Simplify m into m 8.959 * [taylor]: Taking taylor expansion of K in M 8.959 * [backup-simplify]: Simplify K into K 8.959 * [backup-simplify]: Simplify (* m K) into (* m K) 8.959 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.959 * [taylor]: Taking taylor expansion of 1/2 in M 8.959 * [backup-simplify]: Simplify 1/2 into 1/2 8.959 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.959 * [taylor]: Taking taylor expansion of (* K n) in M 8.959 * [taylor]: Taking taylor expansion of K in M 8.959 * [backup-simplify]: Simplify K into K 8.960 * [taylor]: Taking taylor expansion of n in M 8.960 * [backup-simplify]: Simplify n into n 8.960 * [backup-simplify]: Simplify (* K n) into (* K n) 8.960 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.960 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.960 * [taylor]: Taking taylor expansion of M in M 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (/ 1 1) into 1 8.961 * [backup-simplify]: Simplify (- 1) into -1 8.961 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.961 * [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))) 8.962 * [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)))) 8.962 * [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))))) 8.962 * [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) 8.963 * [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) 8.964 * [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 8.967 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 8.969 * [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 8.969 * [taylor]: Taking taylor expansion of 0 in m 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [taylor]: Taking taylor expansion of 0 in n 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [taylor]: Taking taylor expansion of 0 in M 8.969 * [backup-simplify]: Simplify 0 into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [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 8.971 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 8.972 * [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 8.972 * [taylor]: Taking taylor expansion of 0 in n 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [taylor]: Taking taylor expansion of 0 in M 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [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 8.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 8.973 * [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 8.973 * [taylor]: Taking taylor expansion of 0 in M 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.974 * [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 8.975 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 8.975 * [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 8.975 * [backup-simplify]: Simplify 0 into 0 8.977 * [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 8.977 * [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 8.978 * [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 8.978 * [taylor]: Taking taylor expansion of 0 in m 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [taylor]: Taking taylor expansion of 0 in n 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [taylor]: Taking taylor expansion of 0 in M 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [taylor]: Taking taylor expansion of 0 in n 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [taylor]: Taking taylor expansion of 0 in M 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.979 * [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) 8.979 * [backup-simplify]: Simplify (cbrt (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) 8.979 * [approximate]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in (K m n M) around 0 8.979 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M 8.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M 8.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M 8.979 * [taylor]: Taking taylor expansion of 1/3 in M 8.979 * [backup-simplify]: Simplify 1/3 into 1/3 8.979 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M 8.979 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.979 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.979 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.979 * [taylor]: Taking taylor expansion of M in M 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 1 into 1 8.980 * [backup-simplify]: Simplify (/ 1 1) into 1 8.980 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.980 * [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 (/ 1 (* m K)) in M 8.980 * [taylor]: Taking taylor expansion of (* m K) in M 8.980 * [taylor]: Taking taylor expansion of m in M 8.980 * [backup-simplify]: Simplify m into m 8.980 * [taylor]: Taking taylor expansion of K in M 8.980 * [backup-simplify]: Simplify K into K 8.980 * [backup-simplify]: Simplify (* m K) into (* m K) 8.980 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.980 * [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 (/ 1 (* K n)) in M 8.980 * [taylor]: Taking taylor expansion of (* K n) in M 8.980 * [taylor]: Taking taylor expansion of K in M 8.980 * [backup-simplify]: Simplify K into K 8.980 * [taylor]: Taking taylor expansion of n in M 8.980 * [backup-simplify]: Simplify n into n 8.980 * [backup-simplify]: Simplify (* K n) into (* K n) 8.980 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.980 * [backup-simplify]: Simplify (+ 1 0) into 1 8.980 * [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)))))) 8.981 * [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))))))) 8.981 * [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)))))))) 8.981 * [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) 8.981 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n 8.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n 8.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n 8.981 * [taylor]: Taking taylor expansion of 1/3 in n 8.981 * [backup-simplify]: Simplify 1/3 into 1/3 8.981 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in n 8.981 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.981 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.981 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.981 * [taylor]: Taking taylor expansion of M in n 8.981 * [backup-simplify]: Simplify M into M 8.981 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.981 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.981 * [taylor]: Taking taylor expansion of 1/2 in n 8.981 * [backup-simplify]: Simplify 1/2 into 1/2 8.981 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.981 * [taylor]: Taking taylor expansion of (* m K) in n 8.981 * [taylor]: Taking taylor expansion of m in n 8.981 * [backup-simplify]: Simplify m into m 8.982 * [taylor]: Taking taylor expansion of K in n 8.982 * [backup-simplify]: Simplify K into K 8.982 * [backup-simplify]: Simplify (* m K) into (* m K) 8.982 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.982 * [taylor]: Taking taylor expansion of 1/2 in n 8.982 * [backup-simplify]: Simplify 1/2 into 1/2 8.982 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.982 * [taylor]: Taking taylor expansion of (* K n) in n 8.982 * [taylor]: Taking taylor expansion of K in n 8.982 * [backup-simplify]: Simplify K into K 8.982 * [taylor]: Taking taylor expansion of n in n 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify (* K 0) into 0 8.982 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.982 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.982 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.982 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.983 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.983 * [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)))))) 8.983 * [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))))))) 8.983 * [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)))))))) 8.983 * [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) 8.983 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m 8.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m 8.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m 8.983 * [taylor]: Taking taylor expansion of 1/3 in m 8.983 * [backup-simplify]: Simplify 1/3 into 1/3 8.983 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m 8.983 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.983 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.983 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.983 * [taylor]: Taking taylor expansion of M in m 8.983 * [backup-simplify]: Simplify M into M 8.984 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.984 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.984 * [taylor]: Taking taylor expansion of 1/2 in m 8.984 * [backup-simplify]: Simplify 1/2 into 1/2 8.984 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.984 * [taylor]: Taking taylor expansion of (* m K) in m 8.984 * [taylor]: Taking taylor expansion of m in m 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify 1 into 1 8.984 * [taylor]: Taking taylor expansion of K in m 8.984 * [backup-simplify]: Simplify K into K 8.984 * [backup-simplify]: Simplify (* 0 K) into 0 8.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.984 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.984 * [taylor]: Taking taylor expansion of 1/2 in m 8.984 * [backup-simplify]: Simplify 1/2 into 1/2 8.984 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.984 * [taylor]: Taking taylor expansion of (* K n) in m 8.984 * [taylor]: Taking taylor expansion of K in m 8.984 * [backup-simplify]: Simplify K into K 8.984 * [taylor]: Taking taylor expansion of n in m 8.984 * [backup-simplify]: Simplify n into n 8.984 * [backup-simplify]: Simplify (* K n) into (* K n) 8.984 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.984 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.984 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.984 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.985 * [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)))))) 8.985 * [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))))))) 8.985 * [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)))))))) 8.985 * [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) 8.985 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in K 8.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in K 8.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in K 8.985 * [taylor]: Taking taylor expansion of 1/3 in K 8.985 * [backup-simplify]: Simplify 1/3 into 1/3 8.985 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in K 8.985 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.985 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.985 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.985 * [taylor]: Taking taylor expansion of M in K 8.985 * [backup-simplify]: Simplify M into M 8.985 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.985 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.985 * [taylor]: Taking taylor expansion of 1/2 in K 8.985 * [backup-simplify]: Simplify 1/2 into 1/2 8.985 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.985 * [taylor]: Taking taylor expansion of (* m K) in K 8.985 * [taylor]: Taking taylor expansion of m in K 8.986 * [backup-simplify]: Simplify m into m 8.986 * [taylor]: Taking taylor expansion of K in K 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [backup-simplify]: Simplify (* m 0) into 0 8.986 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.986 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.986 * [taylor]: Taking taylor expansion of 1/2 in K 8.986 * [backup-simplify]: Simplify 1/2 into 1/2 8.986 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.986 * [taylor]: Taking taylor expansion of (* K n) in K 8.986 * [taylor]: Taking taylor expansion of K in K 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify 1 into 1 8.986 * [taylor]: Taking taylor expansion of n in K 8.986 * [backup-simplify]: Simplify n into n 8.986 * [backup-simplify]: Simplify (* 0 n) into 0 8.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.986 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.986 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.987 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.987 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.987 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.987 * [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)))))) 8.987 * [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))))))) 8.988 * [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)))))))) 8.988 * [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) 8.988 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in K 8.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in K 8.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in K 8.988 * [taylor]: Taking taylor expansion of 1/3 in K 8.988 * [backup-simplify]: Simplify 1/3 into 1/3 8.988 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in K 8.988 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.988 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.988 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.988 * [taylor]: Taking taylor expansion of M in K 8.988 * [backup-simplify]: Simplify M into M 8.988 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.988 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.988 * [taylor]: Taking taylor expansion of 1/2 in K 8.988 * [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 8.989 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.989 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.989 * [taylor]: Taking taylor expansion of 1/2 in K 8.989 * [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 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.990 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.991 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.991 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.991 * [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)))))) 8.991 * [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))))))) 8.992 * [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)))))))) 8.992 * [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) 8.992 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m 8.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m 8.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m 8.992 * [taylor]: Taking taylor expansion of 1/3 in m 8.992 * [backup-simplify]: Simplify 1/3 into 1/3 8.992 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m 8.992 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.992 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.992 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.992 * [taylor]: Taking taylor expansion of M in m 8.992 * [backup-simplify]: Simplify M into M 8.992 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.993 * [taylor]: Taking taylor expansion of 1/2 in m 8.993 * [backup-simplify]: Simplify 1/2 into 1/2 8.993 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.993 * [taylor]: Taking taylor expansion of (* m K) 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 8.993 * [taylor]: Taking taylor expansion of K in m 8.993 * [backup-simplify]: Simplify K into K 8.993 * [backup-simplify]: Simplify (* 0 K) into 0 8.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.993 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.993 * [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 (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.994 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.994 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.994 * [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 * [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))))))) 8.995 * [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)))))))) 8.995 * [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) 8.995 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n 8.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n 8.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n 8.995 * [taylor]: Taking taylor expansion of 1/3 in n 8.995 * [backup-simplify]: Simplify 1/3 into 1/3 8.995 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in n 8.995 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.995 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.995 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.995 * [taylor]: Taking taylor expansion of M in n 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 n 8.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.995 * [taylor]: Taking taylor expansion of 1/2 in n 8.995 * [backup-simplify]: Simplify 1/2 into 1/2 8.995 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.995 * [taylor]: Taking taylor expansion of (* m K) in n 8.995 * [taylor]: Taking taylor expansion of m in n 8.995 * [backup-simplify]: Simplify m into m 8.995 * [taylor]: Taking taylor expansion of K in n 8.995 * [backup-simplify]: Simplify K into K 8.995 * [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 8.996 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.996 * [taylor]: Taking taylor expansion of (* K n) in n 8.996 * [taylor]: Taking taylor expansion of K in n 8.996 * [backup-simplify]: Simplify K into K 8.996 * [taylor]: Taking taylor expansion of n in n 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify 1 into 1 8.996 * [backup-simplify]: Simplify (* K 0) into 0 8.996 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.996 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.996 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.996 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 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)))))) 8.997 * [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))))))) 8.997 * [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)))))))) 8.997 * [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) 8.997 * [taylor]: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M 8.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M 8.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M 8.997 * [taylor]: Taking taylor expansion of 1/3 in M 8.997 * [backup-simplify]: Simplify 1/3 into 1/3 8.997 * [taylor]: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M 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 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.998 * [backup-simplify]: Simplify (/ 1 1) into 1 8.998 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (* m K)) in M 8.998 * [taylor]: Taking taylor expansion of (* m K) in M 8.998 * [taylor]: Taking taylor expansion of m in M 8.998 * [backup-simplify]: Simplify m into m 8.998 * [taylor]: Taking taylor expansion of K in M 8.998 * [backup-simplify]: Simplify K into K 8.998 * [backup-simplify]: Simplify (* m K) into (* m K) 8.998 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m 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 0) into 1 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)))))) 8.999 * [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))))))) 8.999 * [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)))))))) 8.999 * [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) 8.999 * [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) 9.000 * [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 9.000 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.001 * [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 9.001 * [taylor]: Taking taylor expansion of 0 in m 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [taylor]: Taking taylor expansion of 0 in n 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [taylor]: Taking taylor expansion of 0 in M 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify 0 into 0 9.002 * [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 9.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.003 * [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 9.003 * [taylor]: Taking taylor expansion of 0 in n 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [taylor]: Taking taylor expansion of 0 in M 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 0 into 0 9.004 * [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 9.004 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.005 * [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 9.005 * [taylor]: Taking taylor expansion of 0 in M 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 0 into 0 9.006 * [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 9.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 9.007 * [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 9.007 * [backup-simplify]: Simplify 0 into 0 9.009 * [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 9.010 * [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 9.012 * [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 9.012 * [taylor]: Taking taylor expansion of 0 in m 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [taylor]: Taking taylor expansion of 0 in n 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [taylor]: Taking taylor expansion of 0 in M 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [taylor]: Taking taylor expansion of 0 in n 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [taylor]: Taking taylor expansion of 0 in M 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.013 * [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) 9.013 * * * [progress]: simplifying candidates 9.013 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 9.013 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 9 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 16 / 74 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 9.014 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 9.014 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 26 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 9.015 * * * * [progress]: [ 32 / 74 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))))) (* 1 (cbrt (cos (- (* K (/ (+ m n) 2)) M))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 9.015 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 39 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 9.016 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 48 / 74 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (* 1 (cbrt (cos (- (* K (/ (+ m n) 2)) M))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 9.017 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 9.017 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 61 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 62 / 74 ] simplifiying candidate #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M))))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> 9.018 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 9.018 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 9.019 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 9.020 * [simplify]: Simplifying: (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (cos (- (* K (/ (+ m n) 2)) M))) (log1p (cos (- (* K (/ (+ m n) 2)) M))) (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))) (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)) (log (cos (- (* K (/ (+ m n) 2)) M))) (exp (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))) (expm1 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (log1p (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (log (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (exp (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (sqrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (sqrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt 1) (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (* (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (* (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (sqrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (sqrt (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 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) 9.022 * * [simplify]: iteration 1: (89 enodes) 9.050 * * [simplify]: iteration 2: (143 enodes) 9.090 * * [simplify]: iteration 3: (205 enodes) 9.124 * * [simplify]: iteration 4: (337 enodes) 9.227 * * [simplify]: iteration 5: (584 enodes) 9.425 * * [simplify]: iteration 6: (999 enodes) 10.018 * * [simplify]: iteration 7: (1966 enodes) 11.986 * * [simplify]: Extracting #0: cost 27 inf + 0 11.987 * * [simplify]: Extracting #1: cost 246 inf + 2 11.995 * * [simplify]: Extracting #2: cost 707 inf + 12 12.003 * * [simplify]: Extracting #3: cost 698 inf + 2959 12.014 * * [simplify]: Extracting #4: cost 651 inf + 11857 12.064 * * [simplify]: Extracting #5: cost 373 inf + 209315 12.164 * * [simplify]: Extracting #6: cost 56 inf + 498752 12.274 * * [simplify]: Extracting #7: cost 4 inf + 551654 12.420 * * [simplify]: Extracting #8: cost 0 inf + 555456 12.562 * [simplify]: Simplified to: (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (cos (- (* (/ (+ m n) 2) K) M))) (log1p (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (cos (- (* (/ (+ m n) 2) K) M)) 0 (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (expm1 (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (log1p (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (log (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (exp (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))))) (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (sqrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (sqrt (cos (- (* (/ (+ m n) 2) K) M)))) 1 (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M))))) (cbrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cos (- (* (/ (+ m n) 2) K) M)) (sqrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (sqrt (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (real->posit16 (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) 1 (cos (- (* (* (+ m n) K) 1/2) M)) (cos (- (* (* (+ m n) K) 1/2) M)) 1 (cos (- (* (* (+ m n) K) 1/2) M)) (cos (- (* (* (+ m n) K) 1/2) M)) 1 (cos (- (* (* (+ m n) K) 1/2) M)) (cos (- (* (* (+ m n) K) 1/2) M)) 1 (cbrt (cos (- (* (* (+ m n) K) 1/2) M))) (cbrt (cos (- (* (* (+ m n) K) 1/2) M))) 12.586 * * * [progress]: adding candidates to table 13.113 * [progress]: [Phase 3 of 3] Extracting. 13.113 * * [regime]: Finding splitpoints for: (#real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> # # # # #) 13.118 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 13.118 * * * * [regimes]: Trying to branch on l from (#real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> # # # # #) 13.192 * * * * [regimes]: Trying to branch on M from (#real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> # # # # #) 13.271 * * * * [regimes]: Trying to branch on n from (#real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> # # # # #) 13.367 * * * * [regimes]: Trying to branch on m from (#real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> # # # # #) 13.462 * * * * [regimes]: Trying to branch on K from (#real (real->posit16 (- (* K (/ (+ m n) 2)) M)))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> #real (real->posit16 (cbrt (cos (- (* K (/ (+ m n) 2)) M)))))) (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))> # # # # #) 13.540 * * * [regime]: Found split indices: #