62.408 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.107 * * * [progress]: [2/2] Setting up program. 0.119 * [progress]: [Phase 2 of 3] Improving. 0.119 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.119 * [simplify]: Simplifying: (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.119 * * [simplify]: iteration 1: (21 enodes) 0.124 * * [simplify]: iteration 2: (51 enodes) 0.133 * * [simplify]: iteration 3: (102 enodes) 0.154 * * [simplify]: iteration 4: (250 enodes) 0.240 * * [simplify]: iteration 5: (783 enodes) 0.692 * * [simplify]: Extracting #0: cost 1 inf + 0 0.692 * * [simplify]: Extracting #1: cost 89 inf + 0 0.693 * * [simplify]: Extracting #2: cost 395 inf + 1 0.695 * * [simplify]: Extracting #3: cost 625 inf + 307 0.699 * * [simplify]: Extracting #4: cost 703 inf + 2382 0.713 * * [simplify]: Extracting #5: cost 630 inf + 21946 0.740 * * [simplify]: Extracting #6: cost 292 inf + 135872 0.808 * * [simplify]: Extracting #7: cost 18 inf + 250993 0.896 * * [simplify]: Extracting #8: cost 0 inf + 261271 0.958 * [simplify]: Simplified to: (* (cos (- (/ (* (+ m n) K) 2) M)) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) 0.977 * * [progress]: iteration 1 / 4 0.977 * * * [progress]: picking best candidate 0.987 * * * * [pick]: Picked # 0.987 * * * [progress]: localizing error 1.049 * * * [progress]: generating rewritten candidates 1.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.088 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 1.332 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.353 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.366 * * * [progress]: generating series expansions 1.366 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.367 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.367 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 1.367 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.367 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.367 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.367 * [taylor]: Taking taylor expansion of 1/2 in M 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of (* K n) in M 1.367 * [taylor]: Taking taylor expansion of K in M 1.367 * [backup-simplify]: Simplify K into K 1.367 * [taylor]: Taking taylor expansion of n in M 1.367 * [backup-simplify]: Simplify n into n 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.367 * [taylor]: Taking taylor expansion of 1/2 in M 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 1.367 * [taylor]: Taking taylor expansion of (* K m) in M 1.367 * [taylor]: Taking taylor expansion of K in M 1.367 * [backup-simplify]: Simplify K into K 1.367 * [taylor]: Taking taylor expansion of m in M 1.367 * [backup-simplify]: Simplify m into m 1.367 * [taylor]: Taking taylor expansion of M in M 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* K n) into (* K n) 1.367 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.367 * [backup-simplify]: Simplify (* K m) into (* K m) 1.368 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.368 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.368 * [backup-simplify]: Simplify (- 0) into 0 1.368 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.368 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.369 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.369 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.369 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.369 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.369 * [taylor]: Taking taylor expansion of 1/2 in K 1.369 * [backup-simplify]: Simplify 1/2 into 1/2 1.369 * [taylor]: Taking taylor expansion of (* K n) in K 1.369 * [taylor]: Taking taylor expansion of K in K 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [taylor]: Taking taylor expansion of n in K 1.369 * [backup-simplify]: Simplify n into n 1.369 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.369 * [taylor]: Taking taylor expansion of 1/2 in K 1.369 * [backup-simplify]: Simplify 1/2 into 1/2 1.369 * [taylor]: Taking taylor expansion of (* K m) in K 1.369 * [taylor]: Taking taylor expansion of K in K 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [taylor]: Taking taylor expansion of m in K 1.369 * [backup-simplify]: Simplify m into m 1.369 * [taylor]: Taking taylor expansion of M in K 1.369 * [backup-simplify]: Simplify M into M 1.369 * [backup-simplify]: Simplify (* 0 n) into 0 1.369 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.369 * [backup-simplify]: Simplify (* 0 m) into 0 1.370 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (- M) into (- M) 1.370 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.370 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.370 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.370 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.370 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.370 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.370 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.370 * [taylor]: Taking taylor expansion of 1/2 in n 1.370 * [backup-simplify]: Simplify 1/2 into 1/2 1.370 * [taylor]: Taking taylor expansion of (* K n) in n 1.370 * [taylor]: Taking taylor expansion of K in n 1.370 * [backup-simplify]: Simplify K into K 1.370 * [taylor]: Taking taylor expansion of n in n 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.370 * [taylor]: Taking taylor expansion of 1/2 in n 1.370 * [backup-simplify]: Simplify 1/2 into 1/2 1.370 * [taylor]: Taking taylor expansion of (* K m) in n 1.370 * [taylor]: Taking taylor expansion of K in n 1.370 * [backup-simplify]: Simplify K into K 1.370 * [taylor]: Taking taylor expansion of m in n 1.370 * [backup-simplify]: Simplify m into m 1.370 * [taylor]: Taking taylor expansion of M in n 1.370 * [backup-simplify]: Simplify M into M 1.370 * [backup-simplify]: Simplify (* K 0) into 0 1.371 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.371 * [backup-simplify]: Simplify (* K m) into (* K m) 1.371 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.371 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.371 * [backup-simplify]: Simplify (- M) into (- M) 1.371 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.371 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.371 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.371 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.371 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.371 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.371 * [taylor]: Taking taylor expansion of 1/2 in m 1.371 * [backup-simplify]: Simplify 1/2 into 1/2 1.371 * [taylor]: Taking taylor expansion of (* K n) in m 1.371 * [taylor]: Taking taylor expansion of K in m 1.371 * [backup-simplify]: Simplify K into K 1.371 * [taylor]: Taking taylor expansion of n in m 1.371 * [backup-simplify]: Simplify n into n 1.371 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.371 * [taylor]: Taking taylor expansion of 1/2 in m 1.371 * [backup-simplify]: Simplify 1/2 into 1/2 1.371 * [taylor]: Taking taylor expansion of (* K m) in m 1.371 * [taylor]: Taking taylor expansion of K in m 1.371 * [backup-simplify]: Simplify K into K 1.371 * [taylor]: Taking taylor expansion of m in m 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [taylor]: Taking taylor expansion of M in m 1.371 * [backup-simplify]: Simplify M into M 1.371 * [backup-simplify]: Simplify (* K n) into (* K n) 1.372 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.372 * [backup-simplify]: Simplify (* K 0) into 0 1.372 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.372 * [backup-simplify]: Simplify (- M) into (- M) 1.372 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.372 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.372 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.372 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.373 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.373 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.373 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.373 * [taylor]: Taking taylor expansion of 1/2 in m 1.373 * [backup-simplify]: Simplify 1/2 into 1/2 1.373 * [taylor]: Taking taylor expansion of (* K n) in m 1.373 * [taylor]: Taking taylor expansion of K in m 1.373 * [backup-simplify]: Simplify K into K 1.373 * [taylor]: Taking taylor expansion of n in m 1.373 * [backup-simplify]: Simplify n into n 1.373 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.373 * [taylor]: Taking taylor expansion of 1/2 in m 1.373 * [backup-simplify]: Simplify 1/2 into 1/2 1.373 * [taylor]: Taking taylor expansion of (* K m) in m 1.373 * [taylor]: Taking taylor expansion of K in m 1.373 * [backup-simplify]: Simplify K into K 1.373 * [taylor]: Taking taylor expansion of m in m 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [taylor]: Taking taylor expansion of M in m 1.373 * [backup-simplify]: Simplify M into M 1.373 * [backup-simplify]: Simplify (* K n) into (* K n) 1.373 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.373 * [backup-simplify]: Simplify (* K 0) into 0 1.374 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.374 * [backup-simplify]: Simplify (- M) into (- M) 1.374 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.374 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.375 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.375 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 1.375 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.376 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 1.376 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.376 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.376 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.376 * [taylor]: Taking taylor expansion of 1/2 in n 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of (* K n) in n 1.376 * [taylor]: Taking taylor expansion of K in n 1.376 * [backup-simplify]: Simplify K into K 1.377 * [taylor]: Taking taylor expansion of n in n 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [taylor]: Taking taylor expansion of M in n 1.377 * [backup-simplify]: Simplify M into M 1.377 * [backup-simplify]: Simplify (* K 0) into 0 1.377 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.377 * [backup-simplify]: Simplify (- M) into (- M) 1.377 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.377 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.377 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.377 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.378 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.378 * [backup-simplify]: Simplify (- 0) into 0 1.378 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.378 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.378 * [taylor]: Taking taylor expansion of (- M) in K 1.378 * [taylor]: Taking taylor expansion of M in K 1.378 * [backup-simplify]: Simplify M into M 1.378 * [backup-simplify]: Simplify (- M) into (- M) 1.378 * [backup-simplify]: Simplify (- M) into (- M) 1.378 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.378 * [backup-simplify]: Simplify (- M) into (- M) 1.378 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.378 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.379 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.379 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.379 * [taylor]: Taking taylor expansion of (- M) in M 1.379 * [taylor]: Taking taylor expansion of M in M 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (- 1) into -1 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (+ 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 1.381 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.382 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.383 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.383 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.384 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 1.384 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.385 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.385 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 1.385 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 1.385 * [taylor]: Taking taylor expansion of 1/2 in n 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 1.385 * [taylor]: Taking taylor expansion of K in n 1.385 * [backup-simplify]: Simplify K into K 1.385 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 1.385 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.385 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.385 * [taylor]: Taking taylor expansion of 1/2 in n 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of (* K n) in n 1.385 * [taylor]: Taking taylor expansion of K in n 1.385 * [backup-simplify]: Simplify K into K 1.385 * [taylor]: Taking taylor expansion of n in n 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [taylor]: Taking taylor expansion of M in n 1.385 * [backup-simplify]: Simplify M into M 1.385 * [backup-simplify]: Simplify (* K 0) into 0 1.386 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.386 * [backup-simplify]: Simplify (- M) into (- M) 1.386 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.386 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.386 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.386 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.386 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.386 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.386 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 1.386 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 1.386 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.386 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.386 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.387 * [taylor]: Taking taylor expansion of 1/2 in K 1.387 * [backup-simplify]: Simplify 1/2 into 1/2 1.387 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.387 * [taylor]: Taking taylor expansion of K in K 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.387 * [taylor]: Taking taylor expansion of (- M) in K 1.387 * [taylor]: Taking taylor expansion of M in K 1.387 * [backup-simplify]: Simplify M into M 1.387 * [backup-simplify]: Simplify (- M) into (- M) 1.387 * [backup-simplify]: Simplify (- M) into (- M) 1.387 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.387 * [backup-simplify]: Simplify (- M) into (- M) 1.387 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.387 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.387 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.387 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.387 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.388 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [taylor]: Taking taylor expansion of 0 in M 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (+ 0) into 0 1.389 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.390 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.390 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.391 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 1.391 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.392 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 1.392 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.392 * [taylor]: Taking taylor expansion of 1/2 in K 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.392 * [taylor]: Taking taylor expansion of K in K 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.392 * [taylor]: Taking taylor expansion of (- M) in K 1.392 * [taylor]: Taking taylor expansion of M in K 1.392 * [backup-simplify]: Simplify M into M 1.392 * [backup-simplify]: Simplify (- M) into (- M) 1.392 * [backup-simplify]: Simplify (- M) into (- M) 1.392 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.392 * [backup-simplify]: Simplify (- M) into (- M) 1.392 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.392 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.392 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.392 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.393 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.393 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.393 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [taylor]: Taking taylor expansion of 0 in M 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (+ 0) into 0 1.394 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.395 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.396 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [taylor]: Taking taylor expansion of 0 in M 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (+ 0) into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.399 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 1.399 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.401 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 1.405 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 1.405 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 1.405 * [taylor]: Taking taylor expansion of 1/8 in n 1.405 * [backup-simplify]: Simplify 1/8 into 1/8 1.405 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 1.405 * [taylor]: Taking taylor expansion of (pow K 2) in n 1.405 * [taylor]: Taking taylor expansion of K in n 1.405 * [backup-simplify]: Simplify K into K 1.405 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.405 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.405 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.405 * [taylor]: Taking taylor expansion of 1/2 in n 1.406 * [backup-simplify]: Simplify 1/2 into 1/2 1.406 * [taylor]: Taking taylor expansion of (* K n) in n 1.406 * [taylor]: Taking taylor expansion of K in n 1.406 * [backup-simplify]: Simplify K into K 1.406 * [taylor]: Taking taylor expansion of n in n 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [taylor]: Taking taylor expansion of M in n 1.406 * [backup-simplify]: Simplify M into M 1.406 * [backup-simplify]: Simplify (* K 0) into 0 1.406 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.406 * [backup-simplify]: Simplify (- M) into (- M) 1.406 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.406 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.406 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.407 * [backup-simplify]: Simplify (* K K) into (pow K 2) 1.407 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.407 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.407 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 1.407 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 1.408 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.408 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.408 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.408 * [taylor]: Taking taylor expansion of 1/8 in K 1.408 * [backup-simplify]: Simplify 1/8 into 1/8 1.408 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.408 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.408 * [taylor]: Taking taylor expansion of K in K 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.408 * [taylor]: Taking taylor expansion of (- M) in K 1.408 * [taylor]: Taking taylor expansion of M in K 1.408 * [backup-simplify]: Simplify M into M 1.408 * [backup-simplify]: Simplify (- M) into (- M) 1.408 * [backup-simplify]: Simplify (- M) into (- M) 1.408 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.408 * [backup-simplify]: Simplify (- M) into (- M) 1.408 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.409 * [backup-simplify]: Simplify (+ 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.410 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.411 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 1.411 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 1.412 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 1.412 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 1.412 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 1.412 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 1.412 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 1.412 * [taylor]: Taking taylor expansion of 1/4 in K 1.412 * [backup-simplify]: Simplify 1/4 into 1/4 1.412 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.412 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.412 * [taylor]: Taking taylor expansion of K in K 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.412 * [taylor]: Taking taylor expansion of (- M) in K 1.413 * [taylor]: Taking taylor expansion of M in K 1.413 * [backup-simplify]: Simplify M into M 1.413 * [backup-simplify]: Simplify (- M) into (- M) 1.413 * [backup-simplify]: Simplify (- M) into (- M) 1.413 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.413 * [backup-simplify]: Simplify (- M) into (- M) 1.413 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.413 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.414 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.415 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.419 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.419 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.419 * [taylor]: Taking taylor expansion of 1/8 in K 1.419 * [backup-simplify]: Simplify 1/8 into 1/8 1.419 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.419 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.419 * [taylor]: Taking taylor expansion of K in K 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.419 * [taylor]: Taking taylor expansion of (- M) in K 1.419 * [taylor]: Taking taylor expansion of M in K 1.419 * [backup-simplify]: Simplify M into M 1.419 * [backup-simplify]: Simplify (- M) into (- M) 1.419 * [backup-simplify]: Simplify (- M) into (- M) 1.419 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.420 * [backup-simplify]: Simplify (- M) into (- M) 1.420 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.420 * [backup-simplify]: Simplify (+ 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.422 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.423 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.424 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.424 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.424 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.424 * [taylor]: Taking taylor expansion of 1/2 in M 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.424 * [taylor]: Taking taylor expansion of (- M) in M 1.424 * [taylor]: Taking taylor expansion of M in M 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (- 1) into -1 1.425 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (+ 0) into 0 1.427 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.428 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.430 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.430 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.430 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.430 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.430 * [taylor]: Taking taylor expansion of 1/2 in M 1.430 * [backup-simplify]: Simplify 1/2 into 1/2 1.430 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.430 * [taylor]: Taking taylor expansion of (- M) in M 1.430 * [taylor]: Taking taylor expansion of M in M 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (- 1) into -1 1.431 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.432 * [backup-simplify]: Simplify (- 0) into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.432 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 1.432 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.432 * [taylor]: Taking taylor expansion of 1/2 in M 1.432 * [backup-simplify]: Simplify 1/2 into 1/2 1.432 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.433 * [taylor]: Taking taylor expansion of (* m K) in M 1.433 * [taylor]: Taking taylor expansion of m in M 1.433 * [backup-simplify]: Simplify m into m 1.433 * [taylor]: Taking taylor expansion of K in M 1.433 * [backup-simplify]: Simplify K into K 1.433 * [backup-simplify]: Simplify (* m K) into (* m K) 1.433 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.433 * [taylor]: Taking taylor expansion of 1/2 in M 1.433 * [backup-simplify]: Simplify 1/2 into 1/2 1.433 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.433 * [taylor]: Taking taylor expansion of (* K n) in M 1.433 * [taylor]: Taking taylor expansion of K in M 1.433 * [backup-simplify]: Simplify K into K 1.433 * [taylor]: Taking taylor expansion of n in M 1.433 * [backup-simplify]: Simplify n into n 1.433 * [backup-simplify]: Simplify (* K n) into (* K n) 1.433 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.433 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.433 * [taylor]: Taking taylor expansion of M in M 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [backup-simplify]: Simplify (- 1) into -1 1.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.435 * [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))) 1.435 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.435 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.435 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.435 * [taylor]: Taking taylor expansion of 1/2 in K 1.435 * [backup-simplify]: Simplify 1/2 into 1/2 1.435 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.435 * [taylor]: Taking taylor expansion of (* m K) in K 1.435 * [taylor]: Taking taylor expansion of m in K 1.435 * [backup-simplify]: Simplify m into m 1.435 * [taylor]: Taking taylor expansion of K in K 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* m 0) into 0 1.436 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.436 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.436 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.436 * [taylor]: Taking taylor expansion of 1/2 in K 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.436 * [taylor]: Taking taylor expansion of (* K n) in K 1.436 * [taylor]: Taking taylor expansion of K in K 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of n in K 1.436 * [backup-simplify]: Simplify n into n 1.436 * [backup-simplify]: Simplify (* 0 n) into 0 1.437 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.437 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.437 * [taylor]: Taking taylor expansion of M in K 1.437 * [backup-simplify]: Simplify M into M 1.437 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.437 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.437 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.437 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.438 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.438 * [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))) 1.438 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.438 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.438 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.438 * [taylor]: Taking taylor expansion of 1/2 in n 1.438 * [backup-simplify]: Simplify 1/2 into 1/2 1.438 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.438 * [taylor]: Taking taylor expansion of (* m K) in n 1.438 * [taylor]: Taking taylor expansion of m in n 1.438 * [backup-simplify]: Simplify m into m 1.438 * [taylor]: Taking taylor expansion of K in n 1.438 * [backup-simplify]: Simplify K into K 1.438 * [backup-simplify]: Simplify (* m K) into (* m K) 1.438 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.438 * [taylor]: Taking taylor expansion of 1/2 in n 1.438 * [backup-simplify]: Simplify 1/2 into 1/2 1.438 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.438 * [taylor]: Taking taylor expansion of (* K n) in n 1.439 * [taylor]: Taking taylor expansion of K in n 1.439 * [backup-simplify]: Simplify K into K 1.439 * [taylor]: Taking taylor expansion of n in n 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (* K 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.439 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.439 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.439 * [taylor]: Taking taylor expansion of M in n 1.439 * [backup-simplify]: Simplify M into M 1.439 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.439 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.439 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.440 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.440 * [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))) 1.440 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.440 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.440 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.440 * [taylor]: Taking taylor expansion of 1/2 in m 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.440 * [taylor]: Taking taylor expansion of (* m K) in m 1.440 * [taylor]: Taking taylor expansion of m in m 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [taylor]: Taking taylor expansion of K in m 1.440 * [backup-simplify]: Simplify K into K 1.440 * [backup-simplify]: Simplify (* 0 K) into 0 1.441 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.441 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.441 * [taylor]: Taking taylor expansion of 1/2 in m 1.441 * [backup-simplify]: Simplify 1/2 into 1/2 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.441 * [taylor]: Taking taylor expansion of (* K n) in m 1.441 * [taylor]: Taking taylor expansion of K in m 1.441 * [backup-simplify]: Simplify K into K 1.441 * [taylor]: Taking taylor expansion of n in m 1.441 * [backup-simplify]: Simplify n into n 1.441 * [backup-simplify]: Simplify (* K n) into (* K n) 1.441 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.441 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.441 * [taylor]: Taking taylor expansion of M in m 1.441 * [backup-simplify]: Simplify M into M 1.441 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.442 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.442 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.442 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.442 * [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))) 1.442 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.442 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.442 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.442 * [taylor]: Taking taylor expansion of 1/2 in m 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.442 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.442 * [taylor]: Taking taylor expansion of (* m K) in m 1.442 * [taylor]: Taking taylor expansion of m in m 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [taylor]: Taking taylor expansion of K in m 1.442 * [backup-simplify]: Simplify K into K 1.442 * [backup-simplify]: Simplify (* 0 K) into 0 1.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.443 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.443 * [taylor]: Taking taylor expansion of 1/2 in m 1.443 * [backup-simplify]: Simplify 1/2 into 1/2 1.443 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.443 * [taylor]: Taking taylor expansion of (* K n) in m 1.443 * [taylor]: Taking taylor expansion of K in m 1.443 * [backup-simplify]: Simplify K into K 1.443 * [taylor]: Taking taylor expansion of n in m 1.443 * [backup-simplify]: Simplify n into n 1.443 * [backup-simplify]: Simplify (* K n) into (* K n) 1.443 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.443 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.443 * [taylor]: Taking taylor expansion of M in m 1.443 * [backup-simplify]: Simplify M into M 1.444 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.444 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.444 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.444 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.444 * [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))) 1.444 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.444 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.444 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.444 * [taylor]: Taking taylor expansion of 1/2 in n 1.444 * [backup-simplify]: Simplify 1/2 into 1/2 1.444 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.444 * [taylor]: Taking taylor expansion of (* m K) in n 1.445 * [taylor]: Taking taylor expansion of m in n 1.445 * [backup-simplify]: Simplify m into m 1.445 * [taylor]: Taking taylor expansion of K in n 1.445 * [backup-simplify]: Simplify K into K 1.445 * [backup-simplify]: Simplify (* m K) into (* m K) 1.445 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.445 * [taylor]: Taking taylor expansion of 1/2 in n 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.445 * [taylor]: Taking taylor expansion of (* K n) in n 1.445 * [taylor]: Taking taylor expansion of K in n 1.445 * [backup-simplify]: Simplify K into K 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* K 0) into 0 1.446 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.446 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.446 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.446 * [taylor]: Taking taylor expansion of M in n 1.446 * [backup-simplify]: Simplify M into M 1.446 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.446 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.446 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.446 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.446 * [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))) 1.446 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.446 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.447 * [taylor]: Taking taylor expansion of 1/2 in K 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.447 * [taylor]: Taking taylor expansion of (* m K) in K 1.447 * [taylor]: Taking taylor expansion of m in K 1.447 * [backup-simplify]: Simplify m into m 1.447 * [taylor]: Taking taylor expansion of K in K 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* m 0) into 0 1.447 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.447 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.447 * [taylor]: Taking taylor expansion of 1/2 in K 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.447 * [taylor]: Taking taylor expansion of (* K n) in K 1.448 * [taylor]: Taking taylor expansion of K in K 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [taylor]: Taking taylor expansion of n in K 1.448 * [backup-simplify]: Simplify n into n 1.448 * [backup-simplify]: Simplify (* 0 n) into 0 1.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.448 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.448 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.448 * [taylor]: Taking taylor expansion of M in K 1.448 * [backup-simplify]: Simplify M into M 1.448 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.448 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.448 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.449 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.449 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.449 * [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))) 1.449 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.449 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.449 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.449 * [taylor]: Taking taylor expansion of 1/2 in M 1.449 * [backup-simplify]: Simplify 1/2 into 1/2 1.449 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.449 * [taylor]: Taking taylor expansion of (* m K) in M 1.449 * [taylor]: Taking taylor expansion of m in M 1.449 * [backup-simplify]: Simplify m into m 1.449 * [taylor]: Taking taylor expansion of K in M 1.449 * [backup-simplify]: Simplify K into K 1.449 * [backup-simplify]: Simplify (* m K) into (* m K) 1.450 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.450 * [taylor]: Taking taylor expansion of 1/2 in M 1.450 * [backup-simplify]: Simplify 1/2 into 1/2 1.450 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.450 * [taylor]: Taking taylor expansion of (* K n) in M 1.450 * [taylor]: Taking taylor expansion of K in M 1.450 * [backup-simplify]: Simplify K into K 1.450 * [taylor]: Taking taylor expansion of n in M 1.450 * [backup-simplify]: Simplify n into n 1.450 * [backup-simplify]: Simplify (* K n) into (* K n) 1.450 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.450 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.450 * [taylor]: Taking taylor expansion of M in M 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [backup-simplify]: Simplify (- 1) into -1 1.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.452 * [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))) 1.452 * [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))) 1.452 * [taylor]: Taking taylor expansion of 0 in n 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in K 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in M 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in K 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [taylor]: Taking taylor expansion of 0 in M 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in M 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in n 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in K 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in M 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in K 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [taylor]: Taking taylor expansion of 0 in M 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [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)) 1.454 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.454 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 1.454 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.454 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.454 * [taylor]: Taking taylor expansion of M in M 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.455 * [taylor]: Taking taylor expansion of 1/2 in M 1.455 * [backup-simplify]: Simplify 1/2 into 1/2 1.455 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.455 * [taylor]: Taking taylor expansion of (* m K) in M 1.455 * [taylor]: Taking taylor expansion of m in M 1.455 * [backup-simplify]: Simplify m into m 1.455 * [taylor]: Taking taylor expansion of K in M 1.455 * [backup-simplify]: Simplify K into K 1.455 * [backup-simplify]: Simplify (* m K) into (* m K) 1.455 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.455 * [taylor]: Taking taylor expansion of 1/2 in M 1.455 * [backup-simplify]: Simplify 1/2 into 1/2 1.455 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.455 * [taylor]: Taking taylor expansion of (* K n) in M 1.455 * [taylor]: Taking taylor expansion of K in M 1.455 * [backup-simplify]: Simplify K into K 1.455 * [taylor]: Taking taylor expansion of n in M 1.455 * [backup-simplify]: Simplify n into n 1.455 * [backup-simplify]: Simplify (* K n) into (* K n) 1.455 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.456 * [backup-simplify]: Simplify (+ 1 0) into 1 1.456 * [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)))))) 1.456 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.456 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.456 * [taylor]: Taking taylor expansion of M in K 1.456 * [backup-simplify]: Simplify M into M 1.456 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.456 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.456 * [taylor]: Taking taylor expansion of 1/2 in K 1.456 * [backup-simplify]: Simplify 1/2 into 1/2 1.457 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.457 * [taylor]: Taking taylor expansion of (* m K) in K 1.457 * [taylor]: Taking taylor expansion of m in K 1.457 * [backup-simplify]: Simplify m into m 1.457 * [taylor]: Taking taylor expansion of K in K 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* m 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.457 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.457 * [taylor]: Taking taylor expansion of 1/2 in K 1.457 * [backup-simplify]: Simplify 1/2 into 1/2 1.457 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.457 * [taylor]: Taking taylor expansion of (* K n) in K 1.457 * [taylor]: Taking taylor expansion of K in K 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [taylor]: Taking taylor expansion of n in K 1.457 * [backup-simplify]: Simplify n into n 1.458 * [backup-simplify]: Simplify (* 0 n) into 0 1.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.458 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.458 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.458 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.458 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.458 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.459 * [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)))))) 1.459 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.459 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.459 * [taylor]: Taking taylor expansion of M in n 1.459 * [backup-simplify]: Simplify M into M 1.459 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.459 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.459 * [taylor]: Taking taylor expansion of 1/2 in n 1.459 * [backup-simplify]: Simplify 1/2 into 1/2 1.459 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.459 * [taylor]: Taking taylor expansion of (* m K) in n 1.459 * [taylor]: Taking taylor expansion of m in n 1.459 * [backup-simplify]: Simplify m into m 1.459 * [taylor]: Taking taylor expansion of K in n 1.459 * [backup-simplify]: Simplify K into K 1.459 * [backup-simplify]: Simplify (* m K) into (* m K) 1.459 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.460 * [taylor]: Taking taylor expansion of 1/2 in n 1.460 * [backup-simplify]: Simplify 1/2 into 1/2 1.460 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.460 * [taylor]: Taking taylor expansion of (* K n) in n 1.460 * [taylor]: Taking taylor expansion of K in n 1.460 * [backup-simplify]: Simplify K into K 1.460 * [taylor]: Taking taylor expansion of n in n 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (* K 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.460 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.460 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.460 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.461 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.461 * [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)))))) 1.461 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.461 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.461 * [taylor]: Taking taylor expansion of M in m 1.461 * [backup-simplify]: Simplify M into M 1.461 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.461 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (/ 1 (* m K)) in m 1.461 * [taylor]: Taking taylor expansion of (* m K) in 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 * [taylor]: Taking taylor expansion of K in m 1.461 * [backup-simplify]: Simplify K into K 1.461 * [backup-simplify]: Simplify (* 0 K) into 0 1.462 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.462 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.462 * [taylor]: Taking taylor expansion of 1/2 in m 1.462 * [backup-simplify]: Simplify 1/2 into 1/2 1.462 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.462 * [taylor]: Taking taylor expansion of (* K n) in m 1.462 * [taylor]: Taking taylor expansion of K in m 1.462 * [backup-simplify]: Simplify K into K 1.462 * [taylor]: Taking taylor expansion of n in m 1.462 * [backup-simplify]: Simplify n into n 1.462 * [backup-simplify]: Simplify (* K n) into (* K n) 1.462 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.462 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.463 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.463 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.463 * [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)))))) 1.463 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.463 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.463 * [taylor]: Taking taylor expansion of M in m 1.463 * [backup-simplify]: Simplify M into M 1.463 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.463 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (/ 1 (* m K)) in m 1.463 * [taylor]: Taking taylor expansion of (* m K) in m 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 K in m 1.463 * [backup-simplify]: Simplify K into K 1.464 * [backup-simplify]: Simplify (* 0 K) into 0 1.464 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.464 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.464 * [taylor]: Taking taylor expansion of 1/2 in m 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.464 * [taylor]: Taking taylor expansion of (* K n) in m 1.464 * [taylor]: Taking taylor expansion of K in m 1.464 * [backup-simplify]: Simplify K into K 1.464 * [taylor]: Taking taylor expansion of n in m 1.464 * [backup-simplify]: Simplify n into n 1.464 * [backup-simplify]: Simplify (* K n) into (* K n) 1.464 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.465 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.465 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.465 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.465 * [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)))))) 1.465 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.465 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.465 * [taylor]: Taking taylor expansion of M in n 1.465 * [backup-simplify]: Simplify M into M 1.465 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.465 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.465 * [taylor]: Taking taylor expansion of 1/2 in n 1.465 * [backup-simplify]: Simplify 1/2 into 1/2 1.465 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.465 * [taylor]: Taking taylor expansion of (* m K) in n 1.466 * [taylor]: Taking taylor expansion of m in n 1.466 * [backup-simplify]: Simplify m into m 1.466 * [taylor]: Taking taylor expansion of K in n 1.466 * [backup-simplify]: Simplify K into K 1.466 * [backup-simplify]: Simplify (* m K) into (* m K) 1.466 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.466 * [taylor]: Taking taylor expansion of 1/2 in n 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.466 * [taylor]: Taking taylor expansion of (* K n) in n 1.466 * [taylor]: Taking taylor expansion of K in n 1.466 * [backup-simplify]: Simplify K into K 1.466 * [taylor]: Taking taylor expansion of n in n 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (* K 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.467 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.467 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.467 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.467 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.467 * [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)))))) 1.467 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.467 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.467 * [taylor]: Taking taylor expansion of M in K 1.467 * [backup-simplify]: Simplify M into M 1.467 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.467 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.467 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.467 * [taylor]: Taking taylor expansion of 1/2 in K 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 1.468 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.468 * [taylor]: Taking taylor expansion of (* m K) in K 1.468 * [taylor]: Taking taylor expansion of m in K 1.468 * [backup-simplify]: Simplify m into m 1.468 * [taylor]: Taking taylor expansion of K in K 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (* m 0) into 0 1.468 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.468 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.468 * [taylor]: Taking taylor expansion of 1/2 in K 1.468 * [backup-simplify]: Simplify 1/2 into 1/2 1.468 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.468 * [taylor]: Taking taylor expansion of (* K n) in K 1.468 * [taylor]: Taking taylor expansion of K in K 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [taylor]: Taking taylor expansion of n in K 1.469 * [backup-simplify]: Simplify n into n 1.469 * [backup-simplify]: Simplify (* 0 n) into 0 1.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.469 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.469 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.469 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.469 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.469 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.470 * [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)))))) 1.470 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.470 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.470 * [taylor]: Taking taylor expansion of M in M 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.470 * [taylor]: Taking taylor expansion of 1/2 in M 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.471 * [taylor]: Taking taylor expansion of (* m K) in M 1.471 * [taylor]: Taking taylor expansion of m in M 1.471 * [backup-simplify]: Simplify m into m 1.471 * [taylor]: Taking taylor expansion of K in M 1.471 * [backup-simplify]: Simplify K into K 1.471 * [backup-simplify]: Simplify (* m K) into (* m K) 1.471 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.471 * [taylor]: Taking taylor expansion of 1/2 in M 1.471 * [backup-simplify]: Simplify 1/2 into 1/2 1.471 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.471 * [taylor]: Taking taylor expansion of (* K n) in M 1.471 * [taylor]: Taking taylor expansion of K in M 1.471 * [backup-simplify]: Simplify K into K 1.471 * [taylor]: Taking taylor expansion of n in M 1.471 * [backup-simplify]: Simplify n into n 1.471 * [backup-simplify]: Simplify (* K n) into (* K n) 1.471 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.472 * [backup-simplify]: Simplify (+ 1 0) into 1 1.472 * [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)))))) 1.472 * [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)))))) 1.472 * [taylor]: Taking taylor expansion of 0 in n 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [taylor]: Taking taylor expansion of 0 in K 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [taylor]: Taking taylor expansion of 0 in M 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [taylor]: Taking taylor expansion of 0 in K 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [taylor]: Taking taylor expansion of 0 in M 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 0 in M 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 0 in n 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 0 in K 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 0 in M 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 0 in K 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 0 in M 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [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)) 1.473 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 1.473 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 1.473 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 1.473 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 1.473 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.473 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.473 * [taylor]: Taking taylor expansion of (* 1/2 m) 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 m in M 1.473 * [backup-simplify]: Simplify m into m 1.473 * [taylor]: Taking taylor expansion of (* 1/2 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 n in M 1.474 * [backup-simplify]: Simplify n into n 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 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.474 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.474 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.474 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 1.474 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.474 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.474 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.474 * [taylor]: Taking taylor expansion of 1/2 in n 1.474 * [backup-simplify]: Simplify 1/2 into 1/2 1.474 * [taylor]: Taking taylor expansion of m in n 1.474 * [backup-simplify]: Simplify m into m 1.474 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.474 * [taylor]: Taking taylor expansion of 1/2 in n 1.474 * [backup-simplify]: Simplify 1/2 into 1/2 1.474 * [taylor]: Taking taylor expansion of n in n 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [taylor]: Taking taylor expansion of M in n 1.474 * [backup-simplify]: Simplify M into M 1.474 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.475 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 1.475 * [backup-simplify]: Simplify (- M) into (- M) 1.475 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 1.475 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.475 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.475 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.475 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.475 * [taylor]: Taking taylor expansion of 1/2 in m 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.475 * [taylor]: Taking taylor expansion of m in m 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.475 * [taylor]: Taking taylor expansion of 1/2 in m 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.475 * [taylor]: Taking taylor expansion of n in m 1.475 * [backup-simplify]: Simplify n into n 1.475 * [taylor]: Taking taylor expansion of M in m 1.475 * [backup-simplify]: Simplify M into M 1.475 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.475 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.475 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.475 * [backup-simplify]: Simplify (- M) into (- M) 1.475 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.475 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.476 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.476 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.476 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.476 * [taylor]: Taking taylor expansion of 1/2 in m 1.476 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of m in m 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.476 * [taylor]: Taking taylor expansion of 1/2 in m 1.476 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of n in m 1.476 * [backup-simplify]: Simplify n into n 1.476 * [taylor]: Taking taylor expansion of M in m 1.476 * [backup-simplify]: Simplify M into M 1.476 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.476 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.476 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.476 * [backup-simplify]: Simplify (- M) into (- M) 1.476 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.477 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.477 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 1.477 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.477 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.477 * [taylor]: Taking taylor expansion of 1/2 in n 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of n in n 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [taylor]: Taking taylor expansion of M in n 1.477 * [backup-simplify]: Simplify M into M 1.477 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.477 * [backup-simplify]: Simplify (- M) into (- M) 1.477 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.477 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 1.477 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.477 * [taylor]: Taking taylor expansion of M in M 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.478 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.478 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.481 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.481 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.481 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.481 * [taylor]: Taking taylor expansion of 1/2 in n 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of n in n 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of M in n 1.481 * [backup-simplify]: Simplify M into M 1.482 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.482 * [backup-simplify]: Simplify (- M) into (- M) 1.482 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.482 * [taylor]: Taking taylor expansion of (- M) in M 1.482 * [taylor]: Taking taylor expansion of M in M 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.483 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.483 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 1.483 * [taylor]: Taking taylor expansion of (- M) in M 1.483 * [taylor]: Taking taylor expansion of M in M 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.486 * [taylor]: Taking taylor expansion of 1/4 in n 1.486 * [backup-simplify]: Simplify 1/4 into 1/4 1.486 * [taylor]: Taking taylor expansion of 1/4 in M 1.486 * [backup-simplify]: Simplify 1/4 into 1/4 1.486 * [backup-simplify]: Simplify 1/4 into 1/4 1.487 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.487 * [taylor]: Taking taylor expansion of 1/2 in M 1.487 * [backup-simplify]: Simplify 1/2 into 1/2 1.487 * [backup-simplify]: Simplify 1/2 into 1/2 1.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 1.489 * [taylor]: Taking taylor expansion of 1/4 in M 1.489 * [backup-simplify]: Simplify 1/4 into 1/4 1.489 * [backup-simplify]: Simplify 1/4 into 1/4 1.489 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 1.489 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 1.489 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 1.489 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 1.489 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.489 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.489 * [taylor]: Taking taylor expansion of 1/2 in M 1.489 * [backup-simplify]: Simplify 1/2 into 1/2 1.489 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 m) into (/ 1 m) 1.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.489 * [taylor]: Taking taylor expansion of 1/2 in M 1.489 * [backup-simplify]: Simplify 1/2 into 1/2 1.489 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.489 * [taylor]: Taking taylor expansion of n in M 1.489 * [backup-simplify]: Simplify n into n 1.489 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.490 * [taylor]: Taking taylor expansion of (/ 1 M) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (- 1) into -1 1.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.490 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 1.490 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.490 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.490 * [taylor]: Taking taylor expansion of 1/2 in n 1.490 * [backup-simplify]: Simplify 1/2 into 1/2 1.490 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.490 * [taylor]: Taking taylor expansion of m in n 1.491 * [backup-simplify]: Simplify m into m 1.491 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.491 * [taylor]: Taking taylor expansion of 1/2 in n 1.491 * [backup-simplify]: Simplify 1/2 into 1/2 1.491 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.491 * [taylor]: Taking taylor expansion of M in n 1.491 * [backup-simplify]: Simplify M into M 1.491 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.491 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.492 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.492 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.492 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.492 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.492 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.492 * [taylor]: Taking taylor expansion of 1/2 in m 1.492 * [backup-simplify]: Simplify 1/2 into 1/2 1.492 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.492 * [taylor]: Taking taylor expansion of m in m 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.492 * [taylor]: Taking taylor expansion of 1/2 in m 1.492 * [backup-simplify]: Simplify 1/2 into 1/2 1.492 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.493 * [taylor]: Taking taylor expansion of n in m 1.493 * [backup-simplify]: Simplify n into n 1.493 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.493 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.493 * [taylor]: Taking taylor expansion of M in m 1.493 * [backup-simplify]: Simplify M into M 1.493 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.493 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.493 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.494 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.494 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.494 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.494 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.494 * [taylor]: Taking taylor expansion of 1/2 in m 1.494 * [backup-simplify]: Simplify 1/2 into 1/2 1.494 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.494 * [taylor]: Taking taylor expansion of m in m 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (/ 1 1) into 1 1.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.494 * [taylor]: Taking taylor expansion of 1/2 in m 1.494 * [backup-simplify]: Simplify 1/2 into 1/2 1.494 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.494 * [taylor]: Taking taylor expansion of n in m 1.494 * [backup-simplify]: Simplify n into n 1.494 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.494 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.494 * [taylor]: Taking taylor expansion of M in m 1.494 * [backup-simplify]: Simplify M into M 1.494 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.495 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.495 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.495 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.495 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.495 * [taylor]: Taking taylor expansion of 1/4 in n 1.496 * [backup-simplify]: Simplify 1/4 into 1/4 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.497 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.497 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.497 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.497 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.497 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.497 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.497 * [taylor]: Taking taylor expansion of 1/2 in n 1.497 * [backup-simplify]: Simplify 1/2 into 1/2 1.497 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.497 * [taylor]: Taking taylor expansion of n in n 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.497 * [taylor]: Taking taylor expansion of M in n 1.497 * [backup-simplify]: Simplify M into M 1.497 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.501 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.501 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.501 * [taylor]: Taking taylor expansion of M in n 1.501 * [backup-simplify]: Simplify M into M 1.501 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.501 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.501 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.501 * [taylor]: Taking taylor expansion of 1/4 in n 1.501 * [backup-simplify]: Simplify 1/4 into 1/4 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.501 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ 1 1) into 1 1.502 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.502 * [taylor]: Taking taylor expansion of (* M n) in n 1.502 * [taylor]: Taking taylor expansion of M in n 1.502 * [backup-simplify]: Simplify M into M 1.502 * [taylor]: Taking taylor expansion of n in n 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* M 0) into 0 1.503 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.503 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.504 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.504 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.504 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.504 * [taylor]: Taking taylor expansion of 1/4 in M 1.505 * [backup-simplify]: Simplify 1/4 into 1/4 1.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.505 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.505 * [taylor]: Taking taylor expansion of 1/2 in M 1.505 * [backup-simplify]: Simplify 1/2 into 1/2 1.506 * [taylor]: Taking taylor expansion of 1/4 in M 1.506 * [backup-simplify]: Simplify 1/4 into 1/4 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.510 * [backup-simplify]: Simplify (- 0) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 1.511 * [taylor]: Taking taylor expansion of 0 in n 1.511 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.514 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.514 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.514 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.514 * [taylor]: Taking taylor expansion of M in M 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.517 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.517 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.517 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.517 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.517 * [taylor]: Taking taylor expansion of M in M 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.517 * [taylor]: Taking taylor expansion of 0 in M 1.517 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.522 * [backup-simplify]: Simplify (- 0) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 1.524 * [taylor]: Taking taylor expansion of 0 in n 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.527 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.528 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.529 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.529 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.529 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.529 * [taylor]: Taking taylor expansion of M in M 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (* 1 1) into 1 1.530 * [backup-simplify]: Simplify (/ 1 1) into 1 1.530 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.532 * [backup-simplify]: Simplify (- 0) into 0 1.533 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [taylor]: Taking taylor expansion of 0 in M 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [taylor]: Taking taylor expansion of 0 in M 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (- 1) into -1 1.533 * [backup-simplify]: Simplify -1 into -1 1.534 * [backup-simplify]: Simplify (- 1) into -1 1.534 * [backup-simplify]: Simplify -1 into -1 1.535 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.535 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 1.535 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 1.535 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 1.535 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.535 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.536 * [taylor]: Taking taylor expansion of M in M 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.536 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.536 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.536 * [taylor]: Taking taylor expansion of 1/2 in M 1.536 * [backup-simplify]: Simplify 1/2 into 1/2 1.536 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.536 * [taylor]: Taking taylor expansion of m in M 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 n)) in M 1.536 * [taylor]: Taking taylor expansion of 1/2 in M 1.536 * [backup-simplify]: Simplify 1/2 into 1/2 1.536 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.536 * [taylor]: Taking taylor expansion of n in M 1.536 * [backup-simplify]: Simplify n into n 1.536 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.537 * [backup-simplify]: Simplify (+ 1 0) into 1 1.537 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 1.537 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.537 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.537 * [taylor]: Taking taylor expansion of M in n 1.537 * [backup-simplify]: Simplify M into M 1.537 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.537 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.537 * [taylor]: Taking taylor expansion of 1/2 in n 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.537 * [taylor]: Taking taylor expansion of m in n 1.537 * [backup-simplify]: Simplify m into m 1.537 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.537 * [taylor]: Taking taylor expansion of 1/2 in n 1.537 * [backup-simplify]: Simplify 1/2 into 1/2 1.537 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.537 * [taylor]: Taking taylor expansion of n in n 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.539 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.539 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.539 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.539 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.539 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.540 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.540 * [taylor]: Taking taylor expansion of M in m 1.540 * [backup-simplify]: Simplify M into M 1.540 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.540 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) 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 m) in m 1.540 * [taylor]: Taking taylor expansion of m in m 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 n) in m 1.540 * [taylor]: Taking taylor expansion of n in m 1.540 * [backup-simplify]: Simplify n into n 1.540 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.541 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.541 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.542 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.542 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.542 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.542 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.542 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.542 * [taylor]: Taking taylor expansion of M in m 1.542 * [backup-simplify]: Simplify M into M 1.542 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.542 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.542 * [taylor]: Taking taylor expansion of 1/2 in m 1.542 * [backup-simplify]: Simplify 1/2 into 1/2 1.542 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.542 * [taylor]: Taking taylor expansion of m in m 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [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 n)) in m 1.543 * [taylor]: Taking taylor expansion of 1/2 in m 1.543 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.543 * [taylor]: Taking taylor expansion of n in m 1.543 * [backup-simplify]: Simplify n into n 1.543 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.543 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.544 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.544 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.545 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.545 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.545 * [taylor]: Taking taylor expansion of 1/4 in n 1.545 * [backup-simplify]: Simplify 1/4 into 1/4 1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.547 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.547 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.547 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.547 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.547 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.547 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 n) in n 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 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.548 * [taylor]: Taking taylor expansion of M in n 1.548 * [backup-simplify]: Simplify M into M 1.548 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.553 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.553 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.553 * [taylor]: Taking taylor expansion of M in n 1.553 * [backup-simplify]: Simplify M into M 1.553 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.553 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.553 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.553 * [taylor]: Taking taylor expansion of 1/4 in n 1.553 * [backup-simplify]: Simplify 1/4 into 1/4 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.553 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.553 * [taylor]: Taking taylor expansion of n in n 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.554 * [taylor]: Taking taylor expansion of (* M n) in n 1.554 * [taylor]: Taking taylor expansion of M in n 1.554 * [backup-simplify]: Simplify M into M 1.554 * [taylor]: Taking taylor expansion of n in n 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* M 0) into 0 1.555 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.555 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.555 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.556 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.556 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.556 * [taylor]: Taking taylor expansion of 1/4 in M 1.556 * [backup-simplify]: Simplify 1/4 into 1/4 1.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.557 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.557 * [taylor]: Taking taylor expansion of 1/2 in M 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of 1/4 in M 1.557 * [backup-simplify]: Simplify 1/4 into 1/4 1.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 1.562 * [taylor]: Taking taylor expansion of 0 in n 1.562 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.565 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.565 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.565 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.565 * [taylor]: Taking taylor expansion of M in M 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.567 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.567 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.567 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.567 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.567 * [taylor]: Taking taylor expansion of M in M 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [taylor]: Taking taylor expansion of 0 in M 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 1.574 * [taylor]: Taking taylor expansion of 0 in n 1.574 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.577 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.578 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.579 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.579 * [taylor]: Taking taylor expansion of M in M 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) 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 M 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- 1) into -1 1.583 * [backup-simplify]: Simplify -1 into -1 1.583 * [backup-simplify]: Simplify (- 1) into -1 1.583 * [backup-simplify]: Simplify -1 into -1 1.584 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.584 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.585 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 1.585 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 1.585 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.585 * [taylor]: Taking taylor expansion of K in K 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [taylor]: Taking taylor expansion of (+ m n) in K 1.585 * [taylor]: Taking taylor expansion of m in K 1.585 * [backup-simplify]: Simplify m into m 1.585 * [taylor]: Taking taylor expansion of n in K 1.585 * [backup-simplify]: Simplify n into n 1.585 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.585 * [taylor]: Taking taylor expansion of K in n 1.585 * [backup-simplify]: Simplify K into K 1.585 * [taylor]: Taking taylor expansion of (+ m n) in n 1.585 * [taylor]: Taking taylor expansion of m in n 1.585 * [backup-simplify]: Simplify m into m 1.585 * [taylor]: Taking taylor expansion of n in n 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.585 * [taylor]: Taking taylor expansion of K in m 1.585 * [backup-simplify]: Simplify K into K 1.585 * [taylor]: Taking taylor expansion of (+ m n) in m 1.585 * [taylor]: Taking taylor expansion of m in m 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [taylor]: Taking taylor expansion of n in m 1.585 * [backup-simplify]: Simplify n into n 1.585 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.585 * [taylor]: Taking taylor expansion of K in m 1.585 * [backup-simplify]: Simplify K into K 1.585 * [taylor]: Taking taylor expansion of (+ m n) in m 1.585 * [taylor]: Taking taylor expansion of m in m 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.586 * [taylor]: Taking taylor expansion of n in m 1.586 * [backup-simplify]: Simplify n into n 1.586 * [backup-simplify]: Simplify (+ 0 n) into n 1.586 * [backup-simplify]: Simplify (* K n) into (* K n) 1.586 * [taylor]: Taking taylor expansion of (* K n) in n 1.586 * [taylor]: Taking taylor expansion of K in n 1.586 * [backup-simplify]: Simplify K into K 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 (* K 0) into 0 1.586 * [taylor]: Taking taylor expansion of 0 in K 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ 1 0) into 1 1.587 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 1.587 * [taylor]: Taking taylor expansion of K in n 1.587 * [backup-simplify]: Simplify K into K 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 0 into 0 1.588 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 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 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 1.589 * [taylor]: Taking taylor expansion of 0 in n 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [taylor]: Taking taylor expansion of 0 in K 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [taylor]: Taking taylor expansion of 0 in K 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.589 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.589 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.589 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.589 * [taylor]: Taking taylor expansion of m in K 1.589 * [backup-simplify]: Simplify m into m 1.589 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.589 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.589 * [taylor]: Taking taylor expansion of n in K 1.589 * [backup-simplify]: Simplify n into n 1.590 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.590 * [taylor]: Taking taylor expansion of K in K 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.590 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.590 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.590 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.590 * [taylor]: Taking taylor expansion of m in n 1.590 * [backup-simplify]: Simplify m into m 1.590 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.590 * [taylor]: Taking taylor expansion of n in n 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [taylor]: Taking taylor expansion of K in n 1.591 * [backup-simplify]: Simplify K into K 1.591 * [backup-simplify]: Simplify (+ 0 1) into 1 1.591 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.591 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.591 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.591 * [taylor]: Taking taylor expansion of m in m 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 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.592 * [taylor]: Taking taylor expansion of n in m 1.592 * [backup-simplify]: Simplify n into n 1.592 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.592 * [taylor]: Taking taylor expansion of K in m 1.592 * [backup-simplify]: Simplify K into K 1.592 * [backup-simplify]: Simplify (+ 1 0) into 1 1.592 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.592 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.592 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.593 * [taylor]: Taking taylor expansion of m in m 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.593 * [taylor]: Taking taylor expansion of n in m 1.593 * [backup-simplify]: Simplify n into n 1.593 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.593 * [taylor]: Taking taylor expansion of K in m 1.593 * [backup-simplify]: Simplify K into K 1.594 * [backup-simplify]: Simplify (+ 1 0) into 1 1.594 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.594 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.594 * [taylor]: Taking taylor expansion of K in n 1.594 * [backup-simplify]: Simplify K into K 1.594 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.595 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.595 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.595 * [taylor]: Taking taylor expansion of (* K n) in n 1.595 * [taylor]: Taking taylor expansion of K in n 1.595 * [backup-simplify]: Simplify K into K 1.595 * [taylor]: Taking taylor expansion of n in n 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* K 0) into 0 1.596 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.596 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.596 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.596 * [taylor]: Taking taylor expansion of K in K 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.596 * [taylor]: Taking taylor expansion of K in K 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.599 * [taylor]: Taking taylor expansion of 0 in n 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.600 * [taylor]: Taking taylor expansion of 0 in K 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.600 * [taylor]: Taking taylor expansion of 0 in K 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.603 * [taylor]: Taking taylor expansion of 0 in n 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [taylor]: Taking taylor expansion of 0 in K 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.604 * [taylor]: Taking taylor expansion of 0 in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.605 * [taylor]: Taking taylor expansion of 0 in K 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 1.607 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.607 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.607 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.607 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.608 * [taylor]: Taking taylor expansion of m in K 1.608 * [backup-simplify]: Simplify m into m 1.608 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.608 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.608 * [taylor]: Taking taylor expansion of n in K 1.608 * [backup-simplify]: Simplify n into n 1.608 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.608 * [taylor]: Taking taylor expansion of K in K 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.608 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.608 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.608 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.608 * [taylor]: Taking taylor expansion of m in n 1.608 * [backup-simplify]: Simplify m into m 1.608 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.608 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.608 * [taylor]: Taking taylor expansion of n in n 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of K in n 1.609 * [backup-simplify]: Simplify K into K 1.609 * [backup-simplify]: Simplify (+ 0 1) into 1 1.609 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.609 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.609 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.609 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.609 * [taylor]: Taking taylor expansion of m in m 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.610 * [taylor]: Taking taylor expansion of n in m 1.610 * [backup-simplify]: Simplify n into n 1.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.610 * [taylor]: Taking taylor expansion of K in m 1.610 * [backup-simplify]: Simplify K into K 1.611 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.611 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.611 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.611 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.611 * [taylor]: Taking taylor expansion of m in m 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.611 * [taylor]: Taking taylor expansion of n in m 1.611 * [backup-simplify]: Simplify n into n 1.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.611 * [taylor]: Taking taylor expansion of K in m 1.611 * [backup-simplify]: Simplify K into K 1.612 * [backup-simplify]: Simplify (+ 1 0) into 1 1.612 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.612 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.612 * [taylor]: Taking taylor expansion of K in n 1.612 * [backup-simplify]: Simplify K into K 1.612 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.613 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.613 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.613 * [taylor]: Taking taylor expansion of (* K n) in n 1.613 * [taylor]: Taking taylor expansion of K in n 1.613 * [backup-simplify]: Simplify K into K 1.613 * [taylor]: Taking taylor expansion of n in n 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (* K 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.614 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.614 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.614 * [taylor]: Taking taylor expansion of K in K 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.615 * [taylor]: Taking taylor expansion of K in K 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.617 * [taylor]: Taking taylor expansion of 0 in n 1.617 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.620 * [taylor]: Taking taylor expansion of 0 in K 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.620 * [taylor]: Taking taylor expansion of 0 in K 1.620 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.624 * [taylor]: Taking taylor expansion of 0 in n 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [taylor]: Taking taylor expansion of 0 in K 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.625 * [taylor]: Taking taylor expansion of 0 in K 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.626 * [taylor]: Taking taylor expansion of 0 in K 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 1.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.628 * [backup-simplify]: Simplify (- (/ (* (+ m n) K) 2) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.628 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (m n K M) around 0 1.628 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.628 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (* K 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 (* K n) in M 1.629 * [taylor]: Taking taylor expansion of K in M 1.629 * [backup-simplify]: Simplify K into K 1.629 * [taylor]: Taking taylor expansion of n in M 1.629 * [backup-simplify]: Simplify n into n 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.629 * [taylor]: Taking taylor expansion of 1/2 in M 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of (* K m) in M 1.629 * [taylor]: Taking taylor expansion of K in M 1.629 * [backup-simplify]: Simplify K into K 1.629 * [taylor]: Taking taylor expansion of m in M 1.629 * [backup-simplify]: Simplify m into m 1.629 * [taylor]: Taking taylor expansion of M in M 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.629 * [taylor]: Taking taylor expansion of 1/2 in K 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of (* K n) in K 1.629 * [taylor]: Taking taylor expansion of K in K 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of n in K 1.629 * [backup-simplify]: Simplify n into n 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.629 * [taylor]: Taking taylor expansion of 1/2 in K 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of (* K m) in K 1.629 * [taylor]: Taking taylor expansion of K in K 1.629 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of m in K 1.630 * [backup-simplify]: Simplify m into m 1.630 * [taylor]: Taking taylor expansion of M in K 1.630 * [backup-simplify]: Simplify M into M 1.630 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.630 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.630 * [taylor]: Taking taylor expansion of 1/2 in n 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [taylor]: Taking taylor expansion of (* K n) in n 1.630 * [taylor]: Taking taylor expansion of K in n 1.630 * [backup-simplify]: Simplify K into K 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.630 * [taylor]: Taking taylor expansion of 1/2 in n 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [taylor]: Taking taylor expansion of (* K m) in n 1.630 * [taylor]: Taking taylor expansion of K in n 1.630 * [backup-simplify]: Simplify K into K 1.630 * [taylor]: Taking taylor expansion of m in n 1.630 * [backup-simplify]: Simplify m into m 1.630 * [taylor]: Taking taylor expansion of M in n 1.630 * [backup-simplify]: Simplify M into M 1.630 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.630 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.630 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.630 * [taylor]: Taking taylor expansion of 1/2 in m 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.630 * [taylor]: Taking taylor expansion of (* K n) in m 1.630 * [taylor]: Taking taylor expansion of K in m 1.630 * [backup-simplify]: Simplify K into K 1.630 * [taylor]: Taking taylor expansion of n in m 1.630 * [backup-simplify]: Simplify n into n 1.630 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.630 * [taylor]: Taking taylor expansion of 1/2 in m 1.630 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of (* K m) in m 1.631 * [taylor]: Taking taylor expansion of K in m 1.631 * [backup-simplify]: Simplify K into K 1.631 * [taylor]: Taking taylor expansion of m in m 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [taylor]: Taking taylor expansion of M in m 1.631 * [backup-simplify]: Simplify M into M 1.631 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.631 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.631 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.631 * [taylor]: Taking taylor expansion of 1/2 in m 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of (* K n) in m 1.631 * [taylor]: Taking taylor expansion of K in m 1.631 * [backup-simplify]: Simplify K into K 1.631 * [taylor]: Taking taylor expansion of n in m 1.631 * [backup-simplify]: Simplify n into n 1.631 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.631 * [taylor]: Taking taylor expansion of 1/2 in m 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of (* K m) in m 1.631 * [taylor]: Taking taylor expansion of K in m 1.631 * [backup-simplify]: Simplify K into K 1.631 * [taylor]: Taking taylor expansion of m in m 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [taylor]: Taking taylor expansion of M in m 1.631 * [backup-simplify]: Simplify M into M 1.631 * [backup-simplify]: Simplify (* K n) into (* K n) 1.631 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.631 * [backup-simplify]: Simplify (* K 0) into 0 1.632 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.632 * [backup-simplify]: Simplify (- M) into (- M) 1.633 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.633 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.633 * [taylor]: Taking taylor expansion of (* 1/2 (* K 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 (* K n) in n 1.633 * [taylor]: Taking taylor expansion of K in n 1.633 * [backup-simplify]: Simplify K into K 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 * [taylor]: Taking taylor expansion of M in n 1.633 * [backup-simplify]: Simplify M into M 1.633 * [backup-simplify]: Simplify (* K 0) into 0 1.633 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.633 * [backup-simplify]: Simplify (- M) into (- M) 1.634 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.634 * [taylor]: Taking taylor expansion of (- M) in K 1.634 * [taylor]: Taking taylor expansion of M in K 1.634 * [backup-simplify]: Simplify M into M 1.634 * [backup-simplify]: Simplify (- M) into (- M) 1.634 * [taylor]: Taking taylor expansion of (- M) in M 1.634 * [taylor]: Taking taylor expansion of M in M 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (- 0) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.635 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.636 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.636 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.636 * [backup-simplify]: Simplify (- 0) into 0 1.637 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.637 * [taylor]: Taking taylor expansion of (* 1/2 K) in n 1.637 * [taylor]: Taking taylor expansion of 1/2 in n 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of K in n 1.637 * [backup-simplify]: Simplify K into K 1.637 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.637 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.637 * [taylor]: Taking taylor expansion of 1/2 in K 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of K in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.638 * [taylor]: Taking taylor expansion of 0 in M 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.639 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.639 * [backup-simplify]: Simplify (- 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.639 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.639 * [taylor]: Taking taylor expansion of 1/2 in K 1.639 * [backup-simplify]: Simplify 1/2 into 1/2 1.639 * [taylor]: Taking taylor expansion of K in K 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* 1/2 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 0 into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [taylor]: Taking taylor expansion of 0 in M 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (- 1) into -1 1.641 * [backup-simplify]: Simplify -1 into -1 1.642 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (- 0) 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 * [taylor]: Taking taylor expansion of 0 in K 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [taylor]: Taking taylor expansion of 0 in M 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.646 * [taylor]: Taking taylor expansion of 0 in K 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [taylor]: Taking taylor expansion of 0 in M 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [taylor]: Taking taylor expansion of 0 in K 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [taylor]: Taking taylor expansion of 0 in M 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.650 * [taylor]: Taking taylor expansion of 1/2 in M 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.651 * [taylor]: Taking taylor expansion of 1/2 in M 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* K (* n 1)))) (+ (* 1/2 (* 1 (* K (* 1 m)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.652 * [backup-simplify]: Simplify (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 1.652 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (m n K M) around 0 1.652 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.652 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.652 * [taylor]: Taking taylor expansion of 1/2 in M 1.652 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.652 * [taylor]: Taking taylor expansion of (* m K) in M 1.652 * [taylor]: Taking taylor expansion of m in M 1.652 * [backup-simplify]: Simplify m into m 1.652 * [taylor]: Taking taylor expansion of K in M 1.652 * [backup-simplify]: Simplify K into K 1.652 * [backup-simplify]: Simplify (* m K) into (* m K) 1.652 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.653 * [taylor]: Taking taylor expansion of 1/2 in M 1.653 * [backup-simplify]: Simplify 1/2 into 1/2 1.653 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.653 * [taylor]: Taking taylor expansion of (* K n) in M 1.653 * [taylor]: Taking taylor expansion of K in M 1.653 * [backup-simplify]: Simplify K into K 1.653 * [taylor]: Taking taylor expansion of n in M 1.653 * [backup-simplify]: Simplify n into n 1.653 * [backup-simplify]: Simplify (* K n) into (* K n) 1.653 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.653 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.653 * [taylor]: Taking taylor expansion of M in M 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.653 * [taylor]: Taking taylor expansion of 1/2 in K 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.654 * [taylor]: Taking taylor expansion of (* m K) in K 1.654 * [taylor]: Taking taylor expansion of m in K 1.654 * [backup-simplify]: Simplify m into m 1.654 * [taylor]: Taking taylor expansion of K in K 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* m 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.654 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.654 * [taylor]: Taking taylor expansion of 1/2 in K 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.654 * [taylor]: Taking taylor expansion of (* K n) in K 1.654 * [taylor]: Taking taylor expansion of K in K 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of n in K 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (* 0 n) into 0 1.655 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.655 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.655 * [taylor]: Taking taylor expansion of M in K 1.655 * [backup-simplify]: Simplify M into M 1.655 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.655 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.655 * [taylor]: Taking taylor expansion of 1/2 in n 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.655 * [taylor]: Taking taylor expansion of (* m K) in n 1.656 * [taylor]: Taking taylor expansion of m in n 1.656 * [backup-simplify]: Simplify m into m 1.656 * [taylor]: Taking taylor expansion of K in n 1.656 * [backup-simplify]: Simplify K into K 1.656 * [backup-simplify]: Simplify (* m K) into (* m K) 1.656 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.656 * [taylor]: Taking taylor expansion of 1/2 in n 1.656 * [backup-simplify]: Simplify 1/2 into 1/2 1.656 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.656 * [taylor]: Taking taylor expansion of (* K n) in n 1.656 * [taylor]: Taking taylor expansion of K in n 1.656 * [backup-simplify]: Simplify K into K 1.656 * [taylor]: Taking taylor expansion of n in n 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* K 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.657 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.657 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.657 * [taylor]: Taking taylor expansion of M in n 1.657 * [backup-simplify]: Simplify M into M 1.657 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.657 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.657 * [taylor]: Taking taylor expansion of 1/2 in m 1.657 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.657 * [taylor]: Taking taylor expansion of (* m K) in m 1.657 * [taylor]: Taking taylor expansion of m in m 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [taylor]: Taking taylor expansion of K in m 1.657 * [backup-simplify]: Simplify K into K 1.657 * [backup-simplify]: Simplify (* 0 K) into 0 1.658 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.658 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.658 * [taylor]: Taking taylor expansion of 1/2 in m 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.658 * [taylor]: Taking taylor expansion of (* K n) in m 1.658 * [taylor]: Taking taylor expansion of K in m 1.658 * [backup-simplify]: Simplify K into K 1.658 * [taylor]: Taking taylor expansion of n in m 1.658 * [backup-simplify]: Simplify n into n 1.658 * [backup-simplify]: Simplify (* K n) into (* K n) 1.658 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.658 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.658 * [taylor]: Taking taylor expansion of M in m 1.658 * [backup-simplify]: Simplify M into M 1.658 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.658 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.658 * [taylor]: Taking taylor expansion of 1/2 in m 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.658 * [taylor]: Taking taylor expansion of (* m K) in m 1.658 * [taylor]: Taking taylor expansion of m in m 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of K in m 1.658 * [backup-simplify]: Simplify K into K 1.659 * [backup-simplify]: Simplify (* 0 K) into 0 1.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.659 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.659 * [taylor]: Taking taylor expansion of 1/2 in m 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.659 * [taylor]: Taking taylor expansion of (* K n) in m 1.659 * [taylor]: Taking taylor expansion of K in m 1.659 * [backup-simplify]: Simplify K into K 1.659 * [taylor]: Taking taylor expansion of n in m 1.659 * [backup-simplify]: Simplify n into n 1.659 * [backup-simplify]: Simplify (* K n) into (* K n) 1.659 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.659 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.659 * [taylor]: Taking taylor expansion of M in m 1.660 * [backup-simplify]: Simplify M into M 1.660 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.660 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.660 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.660 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.660 * [taylor]: Taking taylor expansion of 1/2 in n 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.660 * [taylor]: Taking taylor expansion of K in n 1.660 * [backup-simplify]: Simplify K into K 1.660 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.662 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.662 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.662 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.662 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (* K n))) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) 1.662 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 1.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.662 * [taylor]: Taking taylor expansion of 1/2 in n 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.662 * [taylor]: Taking taylor expansion of (* K n) in n 1.662 * [taylor]: Taking taylor expansion of K in n 1.662 * [backup-simplify]: Simplify K into K 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* K 0) into 0 1.663 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.663 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.663 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.663 * [taylor]: Taking taylor expansion of M in n 1.663 * [backup-simplify]: Simplify M into M 1.663 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.663 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.663 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.663 * [taylor]: Taking taylor expansion of 1/2 in K 1.663 * [backup-simplify]: Simplify 1/2 into 1/2 1.663 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.663 * [taylor]: Taking taylor expansion of K in K 1.663 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.664 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.664 * [taylor]: Taking taylor expansion of 1/2 in M 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.665 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.665 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.665 * [taylor]: Taking taylor expansion of 1/2 in K 1.665 * [backup-simplify]: Simplify 1/2 into 1/2 1.665 * [taylor]: Taking taylor expansion of K in K 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.665 * [taylor]: Taking taylor expansion of 1/2 in M 1.665 * [backup-simplify]: Simplify 1/2 into 1/2 1.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.669 * [backup-simplify]: Simplify (- 0) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [taylor]: Taking taylor expansion of 0 in n 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.671 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.671 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.671 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in K 1.671 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.671 * [taylor]: Taking taylor expansion of M in K 1.671 * [backup-simplify]: Simplify M into M 1.671 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.672 * [taylor]: Taking taylor expansion of 0 in K 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in M 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.675 * [taylor]: Taking taylor expansion of 0 in M 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1/2 into 1/2 1.675 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.678 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.680 * [backup-simplify]: Simplify (- 0) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [taylor]: Taking taylor expansion of 0 in n 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [taylor]: Taking taylor expansion of 0 in K 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [taylor]: Taking taylor expansion of 0 in K 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.685 * [taylor]: Taking taylor expansion of 0 in K 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.685 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 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 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (- 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 K)) (* 1 (/ 1 (/ 1 m)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))))) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.687 * [backup-simplify]: Simplify (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 1.687 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (m n K M) around 0 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.687 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.687 * [taylor]: Taking taylor expansion of M in M 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.688 * [taylor]: Taking taylor expansion of 1/2 in M 1.688 * [backup-simplify]: Simplify 1/2 into 1/2 1.688 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.688 * [taylor]: Taking taylor expansion of (* m K) in M 1.688 * [taylor]: Taking taylor expansion of m in M 1.688 * [backup-simplify]: Simplify m into m 1.688 * [taylor]: Taking taylor expansion of K in M 1.688 * [backup-simplify]: Simplify K into K 1.688 * [backup-simplify]: Simplify (* m K) into (* m K) 1.688 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.688 * [taylor]: Taking taylor expansion of 1/2 in M 1.688 * [backup-simplify]: Simplify 1/2 into 1/2 1.688 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.688 * [taylor]: Taking taylor expansion of (* K n) in M 1.688 * [taylor]: Taking taylor expansion of K in M 1.688 * [backup-simplify]: Simplify K into K 1.688 * [taylor]: Taking taylor expansion of n in M 1.688 * [backup-simplify]: Simplify n into n 1.688 * [backup-simplify]: Simplify (* K n) into (* K n) 1.688 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.689 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.689 * [taylor]: Taking taylor expansion of M in K 1.689 * [backup-simplify]: Simplify M into M 1.689 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.689 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.689 * [taylor]: Taking taylor expansion of 1/2 in K 1.689 * [backup-simplify]: Simplify 1/2 into 1/2 1.689 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.689 * [taylor]: Taking taylor expansion of (* m K) in K 1.689 * [taylor]: Taking taylor expansion of m in K 1.689 * [backup-simplify]: Simplify m into m 1.689 * [taylor]: Taking taylor expansion of K in K 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (* m 0) into 0 1.690 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.690 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.690 * [taylor]: Taking taylor expansion of 1/2 in K 1.690 * [backup-simplify]: Simplify 1/2 into 1/2 1.690 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.690 * [taylor]: Taking taylor expansion of (* K n) in K 1.690 * [taylor]: Taking taylor expansion of K in K 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of n in K 1.690 * [backup-simplify]: Simplify n into n 1.690 * [backup-simplify]: Simplify (* 0 n) into 0 1.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.691 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.691 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.691 * [taylor]: Taking taylor expansion of M in n 1.691 * [backup-simplify]: Simplify M into M 1.691 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.691 * [taylor]: Taking taylor expansion of 1/2 in n 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.691 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.691 * [taylor]: Taking taylor expansion of (* m K) in n 1.691 * [taylor]: Taking taylor expansion of m in n 1.691 * [backup-simplify]: Simplify m into m 1.691 * [taylor]: Taking taylor expansion of K in n 1.691 * [backup-simplify]: Simplify K into K 1.691 * [backup-simplify]: Simplify (* m K) into (* m K) 1.691 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.691 * [taylor]: Taking taylor expansion of 1/2 in n 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.691 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.691 * [taylor]: Taking taylor expansion of (* K n) in n 1.691 * [taylor]: Taking taylor expansion of K in n 1.691 * [backup-simplify]: Simplify K into K 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* K 0) into 0 1.692 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.692 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.692 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.692 * [taylor]: Taking taylor expansion of M in m 1.692 * [backup-simplify]: Simplify M into M 1.692 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.692 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.692 * [taylor]: Taking taylor expansion of 1/2 in m 1.692 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.692 * [taylor]: Taking taylor expansion of (* m K) in m 1.692 * [taylor]: Taking taylor expansion of m in m 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of K in m 1.693 * [backup-simplify]: Simplify K into K 1.693 * [backup-simplify]: Simplify (* 0 K) into 0 1.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.693 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.693 * [taylor]: Taking taylor expansion of 1/2 in m 1.693 * [backup-simplify]: Simplify 1/2 into 1/2 1.693 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.693 * [taylor]: Taking taylor expansion of (* K n) in m 1.693 * [taylor]: Taking taylor expansion of K in m 1.693 * [backup-simplify]: Simplify K into K 1.693 * [taylor]: Taking taylor expansion of n in m 1.693 * [backup-simplify]: Simplify n into n 1.693 * [backup-simplify]: Simplify (* K n) into (* K n) 1.694 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.694 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.694 * [taylor]: Taking taylor expansion of M in m 1.694 * [backup-simplify]: Simplify M into M 1.694 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.694 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.694 * [taylor]: Taking taylor expansion of 1/2 in m 1.694 * [backup-simplify]: Simplify 1/2 into 1/2 1.694 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.694 * [taylor]: Taking taylor expansion of (* m K) in m 1.694 * [taylor]: Taking taylor expansion of m in m 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of K in m 1.694 * [backup-simplify]: Simplify K into K 1.694 * [backup-simplify]: Simplify (* 0 K) into 0 1.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.695 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.695 * [taylor]: Taking taylor expansion of 1/2 in m 1.695 * [backup-simplify]: Simplify 1/2 into 1/2 1.695 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.695 * [taylor]: Taking taylor expansion of (* K n) in m 1.695 * [taylor]: Taking taylor expansion of K in m 1.695 * [backup-simplify]: Simplify K into K 1.695 * [taylor]: Taking taylor expansion of n in m 1.695 * [backup-simplify]: Simplify n into n 1.695 * [backup-simplify]: Simplify (* K n) into (* K n) 1.695 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.695 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.695 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.695 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.695 * [taylor]: Taking taylor expansion of 1/2 in n 1.695 * [backup-simplify]: Simplify 1/2 into 1/2 1.695 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.695 * [taylor]: Taking taylor expansion of K in n 1.695 * [backup-simplify]: Simplify K into K 1.696 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.697 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.698 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.698 * [backup-simplify]: Simplify (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) into (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 1.698 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.698 * [taylor]: Taking taylor expansion of M in n 1.698 * [backup-simplify]: Simplify M into M 1.698 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.698 * [taylor]: Taking taylor expansion of 1/2 in n 1.698 * [backup-simplify]: Simplify 1/2 into 1/2 1.698 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.698 * [taylor]: Taking taylor expansion of (* K n) in n 1.698 * [taylor]: Taking taylor expansion of K in n 1.698 * [backup-simplify]: Simplify K into K 1.698 * [taylor]: Taking taylor expansion of n in n 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (* K 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.699 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.699 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.699 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.699 * [taylor]: Taking taylor expansion of 1/2 in K 1.699 * [backup-simplify]: Simplify 1/2 into 1/2 1.699 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.699 * [taylor]: Taking taylor expansion of K in K 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.700 * [taylor]: Taking taylor expansion of 1/2 in M 1.700 * [backup-simplify]: Simplify 1/2 into 1/2 1.700 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.700 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.700 * [taylor]: Taking taylor expansion of 1/2 in K 1.700 * [backup-simplify]: Simplify 1/2 into 1/2 1.700 * [taylor]: Taking taylor expansion of K in K 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.701 * [taylor]: Taking taylor expansion of 1/2 in M 1.701 * [backup-simplify]: Simplify 1/2 into 1/2 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.705 * [backup-simplify]: Simplify (+ 0 0) into 0 1.705 * [taylor]: Taking taylor expansion of 0 in n 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.706 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.706 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.706 * [taylor]: Taking taylor expansion of M in K 1.706 * [backup-simplify]: Simplify M into M 1.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.707 * [taylor]: Taking taylor expansion of 0 in K 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in M 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.709 * [taylor]: Taking taylor expansion of 0 in M 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1/2 into 1/2 1.709 * [backup-simplify]: Simplify 1/2 into 1/2 1.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.711 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [taylor]: Taking taylor expansion of 0 in n 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [taylor]: Taking taylor expansion of 0 in K 1.713 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [taylor]: Taking taylor expansion of 0 in K 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.715 * [taylor]: Taking taylor expansion of 0 in K 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.715 * [taylor]: Taking taylor expansion of M in M 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1 1) into 1 1.715 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))))) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.716 * * * [progress]: simplifying candidates 1.716 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 1.716 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 1.716 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 16 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 1.717 * * * * [progress]: [ 32 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 48 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 1.718 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 59 / 109 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 1.719 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 1.719 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 81 / 109 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 1.720 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 1.720 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 96 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #real (real->posit16 (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 1.721 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 1.721 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 1.723 * [simplify]: Simplifying: (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (+ m n) K) (+ (log (+ m n)) (log K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K)) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* (+ m n) (* (cbrt K) (cbrt K))) (* (+ m n) (sqrt K)) (* (+ m n) 1) (* (cbrt (+ m n)) K) (* (sqrt (+ m n)) K) (* (+ m n) K) (* (+ m n) K) (* (+ (pow m 3) (pow n 3)) K) (* (- (* m m) (* n n)) K) (real->posit16 (* (+ m n) K)) (/ (exp (/ (* (+ m n) K) 2)) (exp M)) (log (- (/ (* (+ m n) K) 2) M)) (exp (- (/ (* (+ m n) K) 2) M)) (* (cbrt (- (/ (* (+ m n) K) 2) M)) (cbrt (- (/ (* (+ m n) K) 2) M))) (cbrt (- (/ (* (+ m n) K) 2) M)) (* (* (- (/ (* (+ m n) K) 2) M) (- (/ (* (+ m n) K) 2) M)) (- (/ (* (+ m n) K) 2) M)) (sqrt (- (/ (* (+ m n) K) 2) M)) (sqrt (- (/ (* (+ m n) K) 2) M)) (- (pow (/ (* (+ m n) K) 2) 3) (pow M 3)) (+ (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (+ (* M M) (* (/ (* (+ m n) K) 2) M))) (- M) (- (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (* M M)) (+ (/ (* (+ m n) K) 2) M) (+ (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (/ (* (+ m n) K) 2) M) (- M) (real->posit16 (- (/ (* (+ m n) K) 2) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 0 (+ (* K n) (* K m)) (+ (* K n) (* K m)) (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.724 * * [simplify]: iteration 1: (186 enodes) 1.765 * * [simplify]: iteration 2: (475 enodes) 1.983 * * [simplify]: iteration 3: (1570 enodes) 3.185 * * [simplify]: Extracting #0: cost 78 inf + 0 3.186 * * [simplify]: Extracting #1: cost 784 inf + 3 3.192 * * [simplify]: Extracting #2: cost 1708 inf + 1440 3.216 * * [simplify]: Extracting #3: cost 1664 inf + 28381 3.251 * * [simplify]: Extracting #4: cost 982 inf + 168407 3.346 * * [simplify]: Extracting #5: cost 237 inf + 388059 3.503 * * [simplify]: Extracting #6: cost 14 inf + 455283 3.633 * * [simplify]: Extracting #7: cost 0 inf + 459376 3.805 * [simplify]: Simplified to: (* (cos (* 1/2 (* K (+ m n)))) (cos M)) (* (sin (- M)) (sin (* 1/2 (* K (+ m n))))) (* (cos (* 1/2 (* K (+ m n)))) (cos M)) (* (sin (- M)) (sin (* 1/2 (* K (+ m n))))) (* (cos (* 1/2 (* K (+ m n)))) (cos M)) (* (sin (* 1/2 (* K (+ m n)))) (sin M)) (log (cos (- (* 1/2 (* K (+ m n))) M))) (exp (cos (- (* 1/2 (* K (+ m n))) M))) (* (cbrt (cos (- (* 1/2 (* K (+ m n))) M))) (cbrt (cos (- (* 1/2 (* K (+ m n))) M)))) (cbrt (cos (- (* 1/2 (* K (+ m n))) M))) (* (* (cos (- (* 1/2 (* K (+ m n))) M)) (cos (- (* 1/2 (* K (+ m n))) M))) (cos (- (* 1/2 (* K (+ m n))) M))) (sqrt (cos (- (* 1/2 (* K (+ m n))) M))) (sqrt (cos (- (* 1/2 (* K (+ m n))) M))) (real->posit16 (cos (- (* 1/2 (* K (+ m n))) M))) 2 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 2 (+ (log (- (* 1/2 (+ n m)) M)) (log (- (* 1/2 (+ n m)) M))) (+ (log (- (* 1/2 (+ n m)) M)) (log (- (* 1/2 (+ n m)) M))) (exp (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (* (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (cbrt (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (cbrt (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)))) (cbrt (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (* (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (fabs (- (* 1/2 (+ n m)) M)) (fabs (- (* 1/2 (+ n m)) M)) (* (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* M (* M M))) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* M (* M M)))) (* (+ (* (* 1/2 (+ n m)) (+ (* 1/2 (+ n m)) M)) (* M M)) (+ (* (* 1/2 (+ n m)) (+ (* 1/2 (+ n m)) M)) (* M M))) (* (* (+ M (* 1/2 (+ n m))) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* M (* M M)))) (- (* 1/2 (+ n m)) M)) (* (+ (* (* 1/2 (+ n m)) (+ (* 1/2 (+ n m)) M)) (* M M)) (+ (* 1/2 (+ n m)) M)) (* (* (+ M (* 1/2 (+ n m))) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* M (* M M)))) (- (* 1/2 (+ n m)) M)) (* (+ (* (* 1/2 (+ n m)) (+ (* 1/2 (+ n m)) M)) (* M M)) (+ (* 1/2 (+ n m)) M)) (* (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (+ M (* 1/2 (+ n m))) (+ M (* 1/2 (+ n m)))) (* (cbrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (* (cbrt (- (* 1/2 (+ n m)) M)) (cbrt (- (* 1/2 (+ n m)) M))) (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (+ (sqrt (* 1/2 (+ n m))) (sqrt M)) (+ (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (- (sqrt (* 1/2 (+ n m))) (sqrt M)) (- (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M) 2 (* (- (* 1/2 (+ n m)) M) (* 1/2 (+ n m))) (* (- M) (+ (* 1/2 (+ n m)) (- M))) (* (- (* 1/2 (+ n m)) M) (* 1/2 (+ n m))) (* (- M) (+ (* 1/2 (+ n m)) (- M))) (* (- (* 1/2 (+ n m)) M) (* 1/2 (+ n m))) (* (- M) (+ (* 1/2 (+ n m)) (- M))) (* (- (* 1/2 (+ n m)) M) (* 1/2 (+ n m))) (* (- M) (+ (* 1/2 (+ n m)) (- M))) (* (- (* 1/2 (+ n m)) M) (* (cbrt (- (* 1/2 (+ n m)) M)) (cbrt (- (* 1/2 (+ n m)) M)))) (* (sqrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M) (* (- (* 1/2 (+ n m)) M) (+ (sqrt M) (sqrt (* 1/2 (+ n m))))) (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M) (* (cbrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (* (sqrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* M (* M M)))) (* (- (* 1/2 (+ n m)) M) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (- (* 1/2 (+ n m)) M) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* M (* M M)))) (* (- (* 1/2 (+ n m)) M) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (real->posit16 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* K (+ m n)) (log (* K (+ m n))) (log (* K (+ m n))) (exp (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (sqrt (* K (+ m n))) (sqrt (* K (+ m n))) (* (sqrt (+ n m)) (sqrt K)) (* (sqrt (+ n m)) (sqrt K)) (* (* (cbrt K) (cbrt K)) (+ n m)) (* (sqrt K) (+ n m)) (+ n m) (* (cbrt (+ n m)) K) (* (sqrt (+ n m)) K) (* K (+ m n)) (* K (+ m n)) (* K (+ (* m (* m m)) (* (* n n) n))) (* (* (+ n m) (- m n)) K) (real->posit16 (* K (+ m n))) (exp (- (* 1/2 (* K (+ m n))) M)) (log (- (* 1/2 (* K (+ m n))) M)) (exp (- (* 1/2 (* K (+ m n))) M)) (* (cbrt (- (* 1/2 (* K (+ m n))) M)) (cbrt (- (* 1/2 (* K (+ m n))) M))) (cbrt (- (* 1/2 (* K (+ m n))) M)) (* (* (- (* 1/2 (* K (+ m n))) M) (- (* 1/2 (* K (+ m n))) M)) (- (* 1/2 (* K (+ m n))) M)) (sqrt (- (* 1/2 (* K (+ m n))) M)) (sqrt (- (* 1/2 (* K (+ m n))) M)) (- (/ (* (* K (+ m n)) (* K (+ m n))) (/ 8 (* K (+ m n)))) (* M (* M M))) (+ (* (+ M (* 1/2 (* K (+ m n)))) (* 1/2 (* K (+ m n)))) (* M M)) (- M) (* (+ M (* 1/2 (* K (+ m n)))) (- (* 1/2 (* K (+ m n))) M)) (+ M (* 1/2 (* K (+ m n)))) (+ (sqrt (* 1/2 (* K (+ m n)))) (sqrt M)) (- (sqrt (* 1/2 (* K (+ m n)))) (sqrt M)) (- (* 1/2 (* K (+ m n))) M) (- M) (real->posit16 (- (* 1/2 (* K (+ m n))) M)) 1 (cos (- (* 1/2 (* K (+ m n))) M)) (cos (- (* 1/2 (* K (+ m n))) M)) (+ (* (+ (* n n) (* m m)) 1/4) (* 1/2 (* m n))) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) 0 (* K (+ m n)) (* K (+ m n)) (- (* 1/2 (* K (+ m n))) M) (- (* 1/2 (* K (+ m n))) M) (- (* 1/2 (* K (+ m n))) M) 3.819 * * * [progress]: adding candidates to table 5.637 * * [progress]: iteration 2 / 4 5.637 * * * [progress]: picking best candidate 5.661 * * * * [pick]: Picked # 5.661 * * * [progress]: localizing error 5.703 * * * [progress]: generating rewritten candidates 5.703 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2) 5.901 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 5.942 * * * [progress]: generating series expansions 5.942 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2) 5.942 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 5.942 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 5.942 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 5.942 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.942 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.942 * [taylor]: Taking taylor expansion of 1/2 in M 5.942 * [backup-simplify]: Simplify 1/2 into 1/2 5.942 * [taylor]: Taking taylor expansion of m in M 5.942 * [backup-simplify]: Simplify m into m 5.942 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.942 * [taylor]: Taking taylor expansion of 1/2 in M 5.942 * [backup-simplify]: Simplify 1/2 into 1/2 5.942 * [taylor]: Taking taylor expansion of n in M 5.942 * [backup-simplify]: Simplify n into n 5.942 * [taylor]: Taking taylor expansion of M in M 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.942 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.942 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.942 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 5.943 * [backup-simplify]: Simplify (- 0) into 0 5.943 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 5.943 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.943 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.943 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.943 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.943 * [taylor]: Taking taylor expansion of 1/2 in n 5.943 * [backup-simplify]: Simplify 1/2 into 1/2 5.943 * [taylor]: Taking taylor expansion of m in n 5.943 * [backup-simplify]: Simplify m into m 5.943 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.943 * [taylor]: Taking taylor expansion of 1/2 in n 5.943 * [backup-simplify]: Simplify 1/2 into 1/2 5.943 * [taylor]: Taking taylor expansion of n in n 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [taylor]: Taking taylor expansion of M in n 5.943 * [backup-simplify]: Simplify M into M 5.943 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.944 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.944 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.944 * [backup-simplify]: Simplify (- M) into (- M) 5.944 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.944 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.944 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.944 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.944 * [taylor]: Taking taylor expansion of 1/2 in m 5.944 * [backup-simplify]: Simplify 1/2 into 1/2 5.944 * [taylor]: Taking taylor expansion of m in m 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 1 into 1 5.944 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.944 * [taylor]: Taking taylor expansion of 1/2 in m 5.944 * [backup-simplify]: Simplify 1/2 into 1/2 5.944 * [taylor]: Taking taylor expansion of n in m 5.944 * [backup-simplify]: Simplify n into n 5.944 * [taylor]: Taking taylor expansion of M in m 5.944 * [backup-simplify]: Simplify M into M 5.945 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.945 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.945 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.945 * [backup-simplify]: Simplify (- M) into (- M) 5.945 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.945 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.945 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.945 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.945 * [taylor]: Taking taylor expansion of 1/2 in m 5.945 * [backup-simplify]: Simplify 1/2 into 1/2 5.945 * [taylor]: Taking taylor expansion of m in m 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 1 into 1 5.945 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.945 * [taylor]: Taking taylor expansion of 1/2 in m 5.945 * [backup-simplify]: Simplify 1/2 into 1/2 5.945 * [taylor]: Taking taylor expansion of n in m 5.945 * [backup-simplify]: Simplify n into n 5.945 * [taylor]: Taking taylor expansion of M in m 5.945 * [backup-simplify]: Simplify M into M 5.945 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.945 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.945 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.945 * [backup-simplify]: Simplify (- M) into (- M) 5.945 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.946 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 5.946 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 5.946 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.946 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.946 * [taylor]: Taking taylor expansion of 1/2 in n 5.946 * [backup-simplify]: Simplify 1/2 into 1/2 5.946 * [taylor]: Taking taylor expansion of n in n 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.946 * [taylor]: Taking taylor expansion of M in n 5.946 * [backup-simplify]: Simplify M into M 5.948 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.948 * [backup-simplify]: Simplify (- M) into (- M) 5.948 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.948 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 5.948 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.948 * [taylor]: Taking taylor expansion of M in M 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 5.949 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.950 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.950 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 5.950 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.950 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.950 * [taylor]: Taking taylor expansion of 1/2 in n 5.950 * [backup-simplify]: Simplify 1/2 into 1/2 5.950 * [taylor]: Taking taylor expansion of n in n 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [taylor]: Taking taylor expansion of M in n 5.950 * [backup-simplify]: Simplify M into M 5.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.951 * [backup-simplify]: Simplify (- M) into (- M) 5.951 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.951 * [taylor]: Taking taylor expansion of (- M) in M 5.951 * [taylor]: Taking taylor expansion of M in M 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (- 0) into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.953 * [backup-simplify]: Simplify (- 0) into 0 5.953 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.953 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 5.953 * [taylor]: Taking taylor expansion of (- M) in M 5.953 * [taylor]: Taking taylor expansion of M in M 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (- 0) into 0 5.954 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.957 * [backup-simplify]: Simplify (- 0) into 0 5.957 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 5.958 * [taylor]: Taking taylor expansion of 1/4 in n 5.958 * [backup-simplify]: Simplify 1/4 into 1/4 5.958 * [taylor]: Taking taylor expansion of 1/4 in M 5.958 * [backup-simplify]: Simplify 1/4 into 1/4 5.958 * [backup-simplify]: Simplify 1/4 into 1/4 5.958 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.959 * [backup-simplify]: Simplify (- 0) into 0 5.959 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.959 * [taylor]: Taking taylor expansion of 1/2 in M 5.959 * [backup-simplify]: Simplify 1/2 into 1/2 5.959 * [backup-simplify]: Simplify 1/2 into 1/2 5.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.961 * [backup-simplify]: Simplify (- 0) into 0 5.961 * [backup-simplify]: Simplify (+ 0 0) into 0 5.962 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 5.962 * [taylor]: Taking taylor expansion of 1/4 in M 5.962 * [backup-simplify]: Simplify 1/4 into 1/4 5.962 * [backup-simplify]: Simplify 1/4 into 1/4 5.962 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 5.963 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 5.963 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 5.963 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 5.963 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.963 * [taylor]: Taking taylor expansion of 1/2 in M 5.963 * [backup-simplify]: Simplify 1/2 into 1/2 5.963 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.963 * [taylor]: Taking taylor expansion of m in M 5.963 * [backup-simplify]: Simplify m into m 5.963 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.963 * [taylor]: Taking taylor expansion of 1/2 in M 5.963 * [backup-simplify]: Simplify 1/2 into 1/2 5.963 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.963 * [taylor]: Taking taylor expansion of n in M 5.963 * [backup-simplify]: Simplify n into n 5.963 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.963 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.963 * [taylor]: Taking taylor expansion of M in M 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (/ 1 1) into 1 5.964 * [backup-simplify]: Simplify (- 1) into -1 5.965 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.965 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.965 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.965 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.965 * [taylor]: Taking taylor expansion of 1/2 in n 5.965 * [backup-simplify]: Simplify 1/2 into 1/2 5.965 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.965 * [taylor]: Taking taylor expansion of m in n 5.965 * [backup-simplify]: Simplify m into m 5.965 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.965 * [taylor]: Taking taylor expansion of 1/2 in n 5.965 * [backup-simplify]: Simplify 1/2 into 1/2 5.965 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.965 * [taylor]: Taking taylor expansion of n in n 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify (/ 1 1) into 1 5.966 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.966 * [taylor]: Taking taylor expansion of M in n 5.966 * [backup-simplify]: Simplify M into M 5.966 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.966 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.967 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.967 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.967 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.968 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.968 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.968 * [taylor]: Taking taylor expansion of 1/2 in m 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.968 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.968 * [taylor]: Taking taylor expansion of m in m 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [backup-simplify]: Simplify (/ 1 1) into 1 5.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.968 * [taylor]: Taking taylor expansion of 1/2 in m 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.968 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.968 * [taylor]: Taking taylor expansion of n in m 5.968 * [backup-simplify]: Simplify n into n 5.968 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.969 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.969 * [taylor]: Taking taylor expansion of M in m 5.969 * [backup-simplify]: Simplify M into M 5.969 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.969 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.970 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.970 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.970 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.970 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.970 * [taylor]: Taking taylor expansion of 1/2 in m 5.970 * [backup-simplify]: Simplify 1/2 into 1/2 5.970 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.970 * [taylor]: Taking taylor expansion of m in m 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (/ 1 1) into 1 5.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.970 * [taylor]: Taking taylor expansion of 1/2 in m 5.970 * [backup-simplify]: Simplify 1/2 into 1/2 5.970 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.970 * [taylor]: Taking taylor expansion of n in m 5.970 * [backup-simplify]: Simplify n into n 5.970 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.970 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.970 * [taylor]: Taking taylor expansion of M in m 5.970 * [backup-simplify]: Simplify M into M 5.970 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.971 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.971 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.971 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.972 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.972 * [taylor]: Taking taylor expansion of 1/4 in n 5.972 * [backup-simplify]: Simplify 1/4 into 1/4 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.973 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.973 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.973 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.973 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.973 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.973 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.973 * [taylor]: Taking taylor expansion of 1/2 in n 5.973 * [backup-simplify]: Simplify 1/2 into 1/2 5.973 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.973 * [taylor]: Taking taylor expansion of n in n 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.974 * [backup-simplify]: Simplify (/ 1 1) into 1 5.974 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.974 * [taylor]: Taking taylor expansion of M in n 5.974 * [backup-simplify]: Simplify M into M 5.974 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.975 * [backup-simplify]: Simplify (+ 0 0) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.976 * [backup-simplify]: Simplify (- 0) into 0 5.976 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 5.977 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 5.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 5.977 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.977 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.977 * [taylor]: Taking taylor expansion of M in n 5.977 * [backup-simplify]: Simplify M into M 5.977 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.977 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.977 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.977 * [taylor]: Taking taylor expansion of 1/4 in n 5.977 * [backup-simplify]: Simplify 1/4 into 1/4 5.977 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.977 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.977 * [taylor]: Taking taylor expansion of n in n 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (* 1 1) into 1 5.978 * [backup-simplify]: Simplify (/ 1 1) into 1 5.978 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.978 * [taylor]: Taking taylor expansion of (* M n) in n 5.978 * [taylor]: Taking taylor expansion of M in n 5.978 * [backup-simplify]: Simplify M into M 5.978 * [taylor]: Taking taylor expansion of n in n 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (* M 0) into 0 5.978 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.978 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.978 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.979 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.979 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.979 * [taylor]: Taking taylor expansion of 1/4 in M 5.979 * [backup-simplify]: Simplify 1/4 into 1/4 5.979 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.980 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.980 * [taylor]: Taking taylor expansion of 1/2 in M 5.980 * [backup-simplify]: Simplify 1/2 into 1/2 5.980 * [taylor]: Taking taylor expansion of 1/4 in M 5.980 * [backup-simplify]: Simplify 1/4 into 1/4 5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.982 * [backup-simplify]: Simplify (+ 0 0) into 0 5.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.982 * [backup-simplify]: Simplify (- 0) into 0 5.982 * [backup-simplify]: Simplify (+ 0 0) into 0 5.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 5.983 * [taylor]: Taking taylor expansion of 0 in n 5.983 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.985 * [backup-simplify]: Simplify (+ 0 0) into 0 5.985 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.985 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.985 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.985 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.985 * [taylor]: Taking taylor expansion of M in M 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (/ 1 1) into 1 5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.986 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.986 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.986 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.986 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.986 * [taylor]: Taking taylor expansion of M in M 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (/ 1 1) into 1 5.987 * [taylor]: Taking taylor expansion of 0 in M 5.987 * [backup-simplify]: Simplify 0 into 0 5.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.989 * [backup-simplify]: Simplify (+ 0 0) into 0 5.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.989 * [backup-simplify]: Simplify (- 0) into 0 5.990 * [backup-simplify]: Simplify (+ 0 0) into 0 5.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 5.991 * [taylor]: Taking taylor expansion of 0 in n 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.992 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.993 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.993 * [backup-simplify]: Simplify (- 0) into 0 5.993 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.993 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.993 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.993 * [taylor]: Taking taylor expansion of M in M 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (* 1 1) into 1 5.994 * [backup-simplify]: Simplify (/ 1 1) into 1 5.994 * [backup-simplify]: Simplify 1 into 1 5.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.995 * [backup-simplify]: Simplify (- 0) into 0 5.995 * [backup-simplify]: Simplify (+ 0 0) into 0 5.996 * [taylor]: Taking taylor expansion of 0 in M 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [taylor]: Taking taylor expansion of 0 in M 5.996 * [backup-simplify]: Simplify 0 into 0 5.996 * [backup-simplify]: Simplify (- 1) into -1 5.996 * [backup-simplify]: Simplify -1 into -1 5.996 * [backup-simplify]: Simplify (- 1) into -1 5.996 * [backup-simplify]: Simplify -1 into -1 5.997 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.997 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 5.997 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 5.997 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 5.997 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.997 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.997 * [taylor]: Taking taylor expansion of M in M 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [backup-simplify]: Simplify (/ 1 1) into 1 5.997 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.997 * [taylor]: Taking taylor expansion of 1/2 in M 5.997 * [backup-simplify]: Simplify 1/2 into 1/2 5.997 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.997 * [taylor]: Taking taylor expansion of m in M 5.997 * [backup-simplify]: Simplify m into m 5.998 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.998 * [taylor]: Taking taylor expansion of 1/2 in M 5.998 * [backup-simplify]: Simplify 1/2 into 1/2 5.998 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.998 * [taylor]: Taking taylor expansion of n in M 5.998 * [backup-simplify]: Simplify n into n 5.998 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.998 * [backup-simplify]: Simplify (+ 1 0) into 1 5.998 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.998 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.998 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.998 * [taylor]: Taking taylor expansion of M in n 5.998 * [backup-simplify]: Simplify M into M 5.998 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.998 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.998 * [taylor]: Taking taylor expansion of 1/2 in n 5.998 * [backup-simplify]: Simplify 1/2 into 1/2 5.998 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.998 * [taylor]: Taking taylor expansion of m in n 5.998 * [backup-simplify]: Simplify m into m 5.998 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.998 * [taylor]: Taking taylor expansion of 1/2 in n 5.998 * [backup-simplify]: Simplify 1/2 into 1/2 5.998 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.998 * [taylor]: Taking taylor expansion of n in n 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.999 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.999 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.000 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.000 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.000 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.000 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.000 * [taylor]: Taking taylor expansion of M in m 6.000 * [backup-simplify]: Simplify M into M 6.000 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.000 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.000 * [taylor]: Taking taylor expansion of 1/2 in m 6.000 * [backup-simplify]: Simplify 1/2 into 1/2 6.000 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.000 * [taylor]: Taking taylor expansion of m in m 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (/ 1 1) into 1 6.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.000 * [taylor]: Taking taylor expansion of 1/2 in m 6.000 * [backup-simplify]: Simplify 1/2 into 1/2 6.000 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.000 * [taylor]: Taking taylor expansion of n in m 6.000 * [backup-simplify]: Simplify n into n 6.000 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.001 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.001 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.001 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.001 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.001 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.001 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.001 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.001 * [taylor]: Taking taylor expansion of M in m 6.001 * [backup-simplify]: Simplify M into M 6.002 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.002 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.002 * [taylor]: Taking taylor expansion of 1/2 in m 6.002 * [backup-simplify]: Simplify 1/2 into 1/2 6.002 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.002 * [taylor]: Taking taylor expansion of m in m 6.002 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify 1 into 1 6.002 * [backup-simplify]: Simplify (/ 1 1) into 1 6.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.002 * [taylor]: Taking taylor expansion of 1/2 in m 6.002 * [backup-simplify]: Simplify 1/2 into 1/2 6.002 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.002 * [taylor]: Taking taylor expansion of n in m 6.002 * [backup-simplify]: Simplify n into n 6.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.002 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.003 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.003 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.003 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.003 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 6.003 * [taylor]: Taking taylor expansion of 1/4 in n 6.003 * [backup-simplify]: Simplify 1/4 into 1/4 6.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.004 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.004 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.005 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 6.005 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 6.005 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.005 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.005 * [taylor]: Taking taylor expansion of 1/2 in n 6.005 * [backup-simplify]: Simplify 1/2 into 1/2 6.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.005 * [taylor]: Taking taylor expansion of n in n 6.005 * [backup-simplify]: Simplify 0 into 0 6.005 * [backup-simplify]: Simplify 1 into 1 6.005 * [backup-simplify]: Simplify (/ 1 1) into 1 6.005 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.005 * [taylor]: Taking taylor expansion of M in n 6.005 * [backup-simplify]: Simplify M into M 6.005 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (- 0) into 0 6.008 * [backup-simplify]: Simplify (+ 0 0) into 0 6.008 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.008 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.008 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.008 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.008 * [taylor]: Taking taylor expansion of M in n 6.009 * [backup-simplify]: Simplify M into M 6.009 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.009 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.009 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.009 * [taylor]: Taking taylor expansion of 1/4 in n 6.009 * [backup-simplify]: Simplify 1/4 into 1/4 6.009 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.009 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.009 * [taylor]: Taking taylor expansion of n in n 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (* 1 1) into 1 6.009 * [backup-simplify]: Simplify (/ 1 1) into 1 6.009 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.009 * [taylor]: Taking taylor expansion of (* M n) in n 6.009 * [taylor]: Taking taylor expansion of M in n 6.009 * [backup-simplify]: Simplify M into M 6.009 * [taylor]: Taking taylor expansion of n in n 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (* M 0) into 0 6.010 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.010 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.010 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.010 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.011 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.011 * [taylor]: Taking taylor expansion of 1/4 in M 6.011 * [backup-simplify]: Simplify 1/4 into 1/4 6.011 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.011 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.011 * [taylor]: Taking taylor expansion of 1/2 in M 6.011 * [backup-simplify]: Simplify 1/2 into 1/2 6.011 * [taylor]: Taking taylor expansion of 1/4 in M 6.011 * [backup-simplify]: Simplify 1/4 into 1/4 6.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.013 * [backup-simplify]: Simplify (+ 0 0) into 0 6.014 * [backup-simplify]: Simplify (- 0) into 0 6.014 * [backup-simplify]: Simplify (+ 0 0) into 0 6.015 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 6.015 * [taylor]: Taking taylor expansion of 0 in n 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.016 * [backup-simplify]: Simplify (+ 0 0) into 0 6.016 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.016 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.016 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.016 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.016 * [taylor]: Taking taylor expansion of M in M 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.017 * [backup-simplify]: Simplify (/ 1 1) into 1 6.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.018 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.018 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.018 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.018 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.018 * [taylor]: Taking taylor expansion of M in M 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify (/ 1 1) into 1 6.018 * [taylor]: Taking taylor expansion of 0 in M 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.021 * [backup-simplify]: Simplify (+ 0 0) into 0 6.021 * [backup-simplify]: Simplify (- 0) into 0 6.021 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 6.022 * [taylor]: Taking taylor expansion of 0 in n 6.022 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.024 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.025 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.025 * [backup-simplify]: Simplify (- 0) into 0 6.025 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.025 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.025 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.025 * [taylor]: Taking taylor expansion of M in M 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (* 1 1) into 1 6.025 * [backup-simplify]: Simplify (/ 1 1) into 1 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.027 * [backup-simplify]: Simplify (- 0) into 0 6.027 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [taylor]: Taking taylor expansion of 0 in M 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [taylor]: Taking taylor expansion of 0 in M 6.027 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify (- 1) into -1 6.028 * [backup-simplify]: Simplify -1 into -1 6.028 * [backup-simplify]: Simplify (- 1) into -1 6.028 * [backup-simplify]: Simplify -1 into -1 6.028 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.029 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 6.029 * [backup-simplify]: Simplify (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) 6.029 * [approximate]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in (l m n M) around 0 6.029 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in M 6.029 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in M 6.029 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in M 6.029 * [taylor]: Taking taylor expansion of 1/4 in M 6.029 * [backup-simplify]: Simplify 1/4 into 1/4 6.029 * [taylor]: Taking taylor expansion of (pow m 2) in M 6.029 * [taylor]: Taking taylor expansion of m in M 6.029 * [backup-simplify]: Simplify m into m 6.029 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in M 6.029 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.029 * [taylor]: Taking taylor expansion of M in M 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in M 6.029 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in M 6.029 * [taylor]: Taking taylor expansion of 1/2 in M 6.029 * [backup-simplify]: Simplify 1/2 into 1/2 6.029 * [taylor]: Taking taylor expansion of (* m n) in M 6.029 * [taylor]: Taking taylor expansion of m in M 6.029 * [backup-simplify]: Simplify m into m 6.029 * [taylor]: Taking taylor expansion of n in M 6.029 * [backup-simplify]: Simplify n into n 6.029 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in M 6.029 * [taylor]: Taking taylor expansion of l in M 6.029 * [backup-simplify]: Simplify l into l 6.029 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in M 6.029 * [taylor]: Taking taylor expansion of 1/4 in M 6.029 * [backup-simplify]: Simplify 1/4 into 1/4 6.029 * [taylor]: Taking taylor expansion of (pow n 2) in M 6.029 * [taylor]: Taking taylor expansion of n in M 6.029 * [backup-simplify]: Simplify n into n 6.029 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in M 6.029 * [taylor]: Taking taylor expansion of (* m M) in M 6.029 * [taylor]: Taking taylor expansion of m in M 6.029 * [backup-simplify]: Simplify m into m 6.029 * [taylor]: Taking taylor expansion of M in M 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [taylor]: Taking taylor expansion of (* M n) in M 6.029 * [taylor]: Taking taylor expansion of M in M 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.029 * [taylor]: Taking taylor expansion of n in M 6.030 * [backup-simplify]: Simplify n into n 6.030 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in n 6.030 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in n 6.030 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in n 6.030 * [taylor]: Taking taylor expansion of 1/4 in n 6.030 * [backup-simplify]: Simplify 1/4 into 1/4 6.030 * [taylor]: Taking taylor expansion of (pow m 2) in n 6.030 * [taylor]: Taking taylor expansion of m in n 6.030 * [backup-simplify]: Simplify m into m 6.030 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in n 6.030 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.030 * [taylor]: Taking taylor expansion of M in n 6.030 * [backup-simplify]: Simplify M into M 6.030 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in n 6.030 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in n 6.030 * [taylor]: Taking taylor expansion of 1/2 in n 6.030 * [backup-simplify]: Simplify 1/2 into 1/2 6.030 * [taylor]: Taking taylor expansion of (* m n) in n 6.030 * [taylor]: Taking taylor expansion of m in n 6.030 * [backup-simplify]: Simplify m into m 6.030 * [taylor]: Taking taylor expansion of n in n 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 6.030 * [taylor]: Taking taylor expansion of l in n 6.030 * [backup-simplify]: Simplify l into l 6.030 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 6.030 * [taylor]: Taking taylor expansion of 1/4 in n 6.030 * [backup-simplify]: Simplify 1/4 into 1/4 6.030 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.030 * [taylor]: Taking taylor expansion of n in n 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in n 6.030 * [taylor]: Taking taylor expansion of (* m M) in n 6.030 * [taylor]: Taking taylor expansion of m in n 6.030 * [backup-simplify]: Simplify m into m 6.030 * [taylor]: Taking taylor expansion of M in n 6.030 * [backup-simplify]: Simplify M into M 6.030 * [taylor]: Taking taylor expansion of (* M n) in n 6.030 * [taylor]: Taking taylor expansion of M in n 6.030 * [backup-simplify]: Simplify M into M 6.030 * [taylor]: Taking taylor expansion of n in n 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in m 6.030 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in m 6.030 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in m 6.030 * [taylor]: Taking taylor expansion of 1/4 in m 6.030 * [backup-simplify]: Simplify 1/4 into 1/4 6.030 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.030 * [taylor]: Taking taylor expansion of m in m 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in m 6.030 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.030 * [taylor]: Taking taylor expansion of M in m 6.030 * [backup-simplify]: Simplify M into M 6.030 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in m 6.030 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in m 6.030 * [taylor]: Taking taylor expansion of 1/2 in m 6.030 * [backup-simplify]: Simplify 1/2 into 1/2 6.030 * [taylor]: Taking taylor expansion of (* m n) in m 6.031 * [taylor]: Taking taylor expansion of m in m 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [taylor]: Taking taylor expansion of n in m 6.031 * [backup-simplify]: Simplify n into n 6.031 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in m 6.031 * [taylor]: Taking taylor expansion of l in m 6.031 * [backup-simplify]: Simplify l into l 6.031 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in m 6.031 * [taylor]: Taking taylor expansion of 1/4 in m 6.031 * [backup-simplify]: Simplify 1/4 into 1/4 6.031 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.031 * [taylor]: Taking taylor expansion of n in m 6.031 * [backup-simplify]: Simplify n into n 6.031 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in m 6.031 * [taylor]: Taking taylor expansion of (* m M) in m 6.031 * [taylor]: Taking taylor expansion of m in m 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [taylor]: Taking taylor expansion of M in m 6.031 * [backup-simplify]: Simplify M into M 6.031 * [taylor]: Taking taylor expansion of (* M n) in m 6.031 * [taylor]: Taking taylor expansion of M in m 6.031 * [backup-simplify]: Simplify M into M 6.031 * [taylor]: Taking taylor expansion of n in m 6.031 * [backup-simplify]: Simplify n into n 6.031 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in l 6.031 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in l 6.031 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in l 6.031 * [taylor]: Taking taylor expansion of 1/4 in l 6.031 * [backup-simplify]: Simplify 1/4 into 1/4 6.031 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.031 * [taylor]: Taking taylor expansion of m in l 6.031 * [backup-simplify]: Simplify m into m 6.031 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in l 6.031 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.031 * [taylor]: Taking taylor expansion of M in l 6.031 * [backup-simplify]: Simplify M into M 6.031 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in l 6.031 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in l 6.031 * [taylor]: Taking taylor expansion of 1/2 in l 6.031 * [backup-simplify]: Simplify 1/2 into 1/2 6.031 * [taylor]: Taking taylor expansion of (* m n) in l 6.031 * [taylor]: Taking taylor expansion of m in l 6.031 * [backup-simplify]: Simplify m into m 6.031 * [taylor]: Taking taylor expansion of n in l 6.031 * [backup-simplify]: Simplify n into n 6.031 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in l 6.031 * [taylor]: Taking taylor expansion of l in l 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in l 6.031 * [taylor]: Taking taylor expansion of 1/4 in l 6.031 * [backup-simplify]: Simplify 1/4 into 1/4 6.031 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.031 * [taylor]: Taking taylor expansion of n in l 6.031 * [backup-simplify]: Simplify n into n 6.031 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in l 6.031 * [taylor]: Taking taylor expansion of (* m M) in l 6.031 * [taylor]: Taking taylor expansion of m in l 6.031 * [backup-simplify]: Simplify m into m 6.031 * [taylor]: Taking taylor expansion of M in l 6.031 * [backup-simplify]: Simplify M into M 6.031 * [taylor]: Taking taylor expansion of (* M n) in l 6.031 * [taylor]: Taking taylor expansion of M in l 6.031 * [backup-simplify]: Simplify M into M 6.032 * [taylor]: Taking taylor expansion of n in l 6.032 * [backup-simplify]: Simplify n into n 6.032 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (* M n))) in l 6.032 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) in l 6.032 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in l 6.032 * [taylor]: Taking taylor expansion of 1/4 in l 6.032 * [backup-simplify]: Simplify 1/4 into 1/4 6.032 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.032 * [taylor]: Taking taylor expansion of m in l 6.032 * [backup-simplify]: Simplify m into m 6.032 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2))))) in l 6.032 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.032 * [taylor]: Taking taylor expansion of M in l 6.032 * [backup-simplify]: Simplify M into M 6.032 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))) in l 6.032 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in l 6.032 * [taylor]: Taking taylor expansion of 1/2 in l 6.032 * [backup-simplify]: Simplify 1/2 into 1/2 6.032 * [taylor]: Taking taylor expansion of (* m n) in l 6.032 * [taylor]: Taking taylor expansion of m in l 6.032 * [backup-simplify]: Simplify m into m 6.032 * [taylor]: Taking taylor expansion of n in l 6.032 * [backup-simplify]: Simplify n into n 6.032 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in l 6.032 * [taylor]: Taking taylor expansion of l in l 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in l 6.032 * [taylor]: Taking taylor expansion of 1/4 in l 6.032 * [backup-simplify]: Simplify 1/4 into 1/4 6.032 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.032 * [taylor]: Taking taylor expansion of n in l 6.032 * [backup-simplify]: Simplify n into n 6.032 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in l 6.032 * [taylor]: Taking taylor expansion of (* m M) in l 6.032 * [taylor]: Taking taylor expansion of m in l 6.032 * [backup-simplify]: Simplify m into m 6.032 * [taylor]: Taking taylor expansion of M in l 6.032 * [backup-simplify]: Simplify M into M 6.032 * [taylor]: Taking taylor expansion of (* M n) in l 6.032 * [taylor]: Taking taylor expansion of M in l 6.032 * [backup-simplify]: Simplify M into M 6.032 * [taylor]: Taking taylor expansion of n in l 6.032 * [backup-simplify]: Simplify n into n 6.032 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.032 * [backup-simplify]: Simplify (* 1/4 (pow m 2)) into (* 1/4 (pow m 2)) 6.032 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.032 * [backup-simplify]: Simplify (* m n) into (* m n) 6.032 * [backup-simplify]: Simplify (* 1/2 (* m n)) into (* 1/2 (* m n)) 6.032 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.033 * [backup-simplify]: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) 6.033 * [backup-simplify]: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) 6.033 * [backup-simplify]: Simplify (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) into (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) 6.033 * [backup-simplify]: Simplify (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) into (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) 6.033 * [backup-simplify]: Simplify (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) into (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) 6.033 * [backup-simplify]: Simplify (* m M) into (* m M) 6.033 * [backup-simplify]: Simplify (* M n) into (* M n) 6.033 * [backup-simplify]: Simplify (+ (* m M) (* M n)) into (+ (* m M) (* M n)) 6.033 * [backup-simplify]: Simplify (- (+ (* m M) (* M n))) into (- (+ (* m M) (* M n))) 6.034 * [backup-simplify]: Simplify (+ (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (- (+ (* m M) (* M n)))) into (- (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (+ (* m M) (* M n))) 6.034 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (+ (* m M) (* M n))) in m 6.034 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) in m 6.034 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.034 * [taylor]: Taking taylor expansion of M in m 6.034 * [backup-simplify]: Simplify M into M 6.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) in m 6.034 * [taylor]: Taking taylor expansion of (* 1/2 (* m n)) in m 6.034 * [taylor]: Taking taylor expansion of 1/2 in m 6.034 * [backup-simplify]: Simplify 1/2 into 1/2 6.034 * [taylor]: Taking taylor expansion of (* m n) in m 6.034 * [taylor]: Taking taylor expansion of m in m 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of n in m 6.034 * [backup-simplify]: Simplify n into n 6.034 * [taylor]: Taking taylor expansion of (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))) in m 6.034 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in m 6.034 * [taylor]: Taking taylor expansion of 1/4 in m 6.034 * [backup-simplify]: Simplify 1/4 into 1/4 6.034 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.034 * [taylor]: Taking taylor expansion of n in m 6.034 * [backup-simplify]: Simplify n into n 6.034 * [taylor]: Taking taylor expansion of (* 1/4 (pow m 2)) in m 6.034 * [taylor]: Taking taylor expansion of 1/4 in m 6.034 * [backup-simplify]: Simplify 1/4 into 1/4 6.034 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.034 * [taylor]: Taking taylor expansion of m in m 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of (+ (* m M) (* M n)) in m 6.034 * [taylor]: Taking taylor expansion of (* m M) in m 6.034 * [taylor]: Taking taylor expansion of m in m 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of M in m 6.034 * [backup-simplify]: Simplify M into M 6.034 * [taylor]: Taking taylor expansion of (* M n) in m 6.034 * [taylor]: Taking taylor expansion of M in m 6.034 * [backup-simplify]: Simplify M into M 6.034 * [taylor]: Taking taylor expansion of n in m 6.034 * [backup-simplify]: Simplify n into n 6.034 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.034 * [backup-simplify]: Simplify (* 0 n) into 0 6.035 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.035 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.035 * [backup-simplify]: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) 6.035 * [backup-simplify]: Simplify (+ (* 1/4 (pow n 2)) 0) into (* 1/4 (pow n 2)) 6.035 * [backup-simplify]: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) 6.035 * [backup-simplify]: Simplify (+ (pow M 2) (* 1/4 (pow n 2))) into (+ (pow M 2) (* 1/4 (pow n 2))) 6.035 * [backup-simplify]: Simplify (* 0 M) into 0 6.035 * [backup-simplify]: Simplify (* M n) into (* M n) 6.035 * [backup-simplify]: Simplify (+ 0 (* M n)) into (* M n) 6.035 * [backup-simplify]: Simplify (- (* M n)) into (- (* M n)) 6.035 * [backup-simplify]: Simplify (+ (+ (pow M 2) (* 1/4 (pow n 2))) (- (* M n))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (* M n)) 6.035 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (* M n)) in n 6.035 * [taylor]: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n 6.035 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.035 * [taylor]: Taking taylor expansion of M in n 6.035 * [backup-simplify]: Simplify M into M 6.035 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 6.035 * [taylor]: Taking taylor expansion of 1/4 in n 6.036 * [backup-simplify]: Simplify 1/4 into 1/4 6.036 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.036 * [taylor]: Taking taylor expansion of n in n 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [taylor]: Taking taylor expansion of (* M n) in n 6.036 * [taylor]: Taking taylor expansion of M in n 6.036 * [backup-simplify]: Simplify M into M 6.036 * [taylor]: Taking taylor expansion of n in n 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.036 * [backup-simplify]: Simplify (+ (pow M 2) 0) into (pow M 2) 6.036 * [backup-simplify]: Simplify (* M 0) into 0 6.036 * [backup-simplify]: Simplify (- 0) into 0 6.036 * [backup-simplify]: Simplify (+ (pow M 2) 0) into (pow M 2) 6.036 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.036 * [taylor]: Taking taylor expansion of M in M 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (+ (* m 0) (* 0 m)) into 0 6.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow m 2))) into 0 6.037 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.037 * [backup-simplify]: Simplify (+ (* m 0) (* 0 n)) into 0 6.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* m n))) into 0 6.037 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 6.038 * [backup-simplify]: Simplify (+ 1 0) into 1 6.038 * [backup-simplify]: Simplify (+ 0 1) into 1 6.038 * [backup-simplify]: Simplify (+ 0 1) into 1 6.039 * [backup-simplify]: Simplify (+ 0 1) into 1 6.039 * [backup-simplify]: Simplify (+ (* m 0) (* 0 M)) into 0 6.039 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.039 * [backup-simplify]: Simplify (- 0) into 0 6.039 * [backup-simplify]: Simplify (+ 1 0) into 1 6.039 * [taylor]: Taking taylor expansion of 1 in m 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of 1 in n 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [taylor]: Taking taylor expansion of 1 in M 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.040 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 6.040 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.041 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.041 * [backup-simplify]: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) 6.041 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.041 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.041 * [backup-simplify]: Simplify (+ M 0) into M 6.041 * [backup-simplify]: Simplify (- M) into (- M) 6.041 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.041 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.041 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.041 * [taylor]: Taking taylor expansion of 1/2 in n 6.042 * [backup-simplify]: Simplify 1/2 into 1/2 6.042 * [taylor]: Taking taylor expansion of n in n 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [taylor]: Taking taylor expansion of M in n 6.042 * [backup-simplify]: Simplify M into M 6.042 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.042 * [backup-simplify]: Simplify (- M) into (- M) 6.042 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.042 * [taylor]: Taking taylor expansion of (- M) in M 6.042 * [taylor]: Taking taylor expansion of M in M 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (- 0) into 0 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.043 * [backup-simplify]: Simplify (+ 0 0) into 0 6.044 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.044 * [backup-simplify]: Simplify (- M) into (- M) 6.044 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.044 * [taylor]: Taking taylor expansion of (- M) in M 6.044 * [taylor]: Taking taylor expansion of M in M 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (- 0) into 0 6.044 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 m))) into 0 6.045 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow m 2)))) into 0 6.046 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.046 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 n))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* m n)))) into 0 6.048 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.052 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow n 2)))) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.055 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 M))) into 0 6.055 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.055 * [backup-simplify]: Simplify (+ 0 0) into 0 6.056 * [backup-simplify]: Simplify (- 0) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.056 * [taylor]: Taking taylor expansion of 0 in m 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [taylor]: Taking taylor expansion of 0 in n 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [taylor]: Taking taylor expansion of 0 in M 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [taylor]: Taking taylor expansion of 0 in n 6.056 * [backup-simplify]: Simplify 0 into 0 6.057 * [taylor]: Taking taylor expansion of 0 in M 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 6.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 6.059 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow n 2)))) into 0 6.060 * [backup-simplify]: Simplify (* 1 1) into 1 6.060 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.061 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.061 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.061 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 6.062 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.062 * [backup-simplify]: Simplify (+ 0 0) into 0 6.063 * [backup-simplify]: Simplify (- 0) into 0 6.063 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.063 * [taylor]: Taking taylor expansion of 1/4 in n 6.063 * [backup-simplify]: Simplify 1/4 into 1/4 6.063 * [taylor]: Taking taylor expansion of 1/4 in M 6.063 * [backup-simplify]: Simplify 1/4 into 1/4 6.063 * [backup-simplify]: Simplify 1/4 into 1/4 6.063 * [taylor]: Taking taylor expansion of 0 in M 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.064 * [backup-simplify]: Simplify (- 0) into 0 6.064 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.064 * [taylor]: Taking taylor expansion of 1/2 in M 6.064 * [backup-simplify]: Simplify 1/2 into 1/2 6.064 * [backup-simplify]: Simplify 1/2 into 1/2 6.064 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* n (* m 1)))) (+ (* 1/4 (pow (* 1 (* 1 (* m 1))) 2)) (* 1 (* 1 (* 1 (* 1 l)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 6.065 * [backup-simplify]: Simplify (+ (/ 1 l) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) into (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.065 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in (l m n M) around 0 6.065 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in M 6.065 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in M 6.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in M 6.065 * [taylor]: Taking taylor expansion of 1/2 in M 6.065 * [backup-simplify]: Simplify 1/2 into 1/2 6.065 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in M 6.065 * [taylor]: Taking taylor expansion of (* m n) in M 6.065 * [taylor]: Taking taylor expansion of m in M 6.065 * [backup-simplify]: Simplify m into m 6.065 * [taylor]: Taking taylor expansion of n in M 6.065 * [backup-simplify]: Simplify n into n 6.065 * [backup-simplify]: Simplify (* m n) into (* m n) 6.065 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in M 6.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in M 6.065 * [taylor]: Taking taylor expansion of 1/4 in M 6.065 * [backup-simplify]: Simplify 1/4 into 1/4 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in M 6.065 * [taylor]: Taking taylor expansion of (pow m 2) in M 6.065 * [taylor]: Taking taylor expansion of m in M 6.065 * [backup-simplify]: Simplify m into m 6.065 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.065 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.065 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in M 6.065 * [taylor]: Taking taylor expansion of (/ 1 l) in M 6.065 * [taylor]: Taking taylor expansion of l in M 6.065 * [backup-simplify]: Simplify l into l 6.065 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in M 6.065 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.065 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.065 * [taylor]: Taking taylor expansion of M in M 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 1 into 1 6.066 * [backup-simplify]: Simplify (* 1 1) into 1 6.066 * [backup-simplify]: Simplify (/ 1 1) into 1 6.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in M 6.066 * [taylor]: Taking taylor expansion of 1/4 in M 6.066 * [backup-simplify]: Simplify 1/4 into 1/4 6.066 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in M 6.066 * [taylor]: Taking taylor expansion of (pow n 2) in M 6.066 * [taylor]: Taking taylor expansion of n in M 6.066 * [backup-simplify]: Simplify n into n 6.066 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.066 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in M 6.066 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in M 6.066 * [taylor]: Taking taylor expansion of (* M n) in M 6.066 * [taylor]: Taking taylor expansion of M in M 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [taylor]: Taking taylor expansion of n in M 6.066 * [backup-simplify]: Simplify n into n 6.066 * [backup-simplify]: Simplify (* 0 n) into 0 6.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.067 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.067 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in M 6.067 * [taylor]: Taking taylor expansion of (* m M) in M 6.067 * [taylor]: Taking taylor expansion of m in M 6.067 * [backup-simplify]: Simplify m into m 6.067 * [taylor]: Taking taylor expansion of M in M 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (* m 0) into 0 6.067 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.067 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.067 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in n 6.067 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in n 6.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in n 6.067 * [taylor]: Taking taylor expansion of 1/2 in n 6.067 * [backup-simplify]: Simplify 1/2 into 1/2 6.067 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in n 6.067 * [taylor]: Taking taylor expansion of (* m n) in n 6.067 * [taylor]: Taking taylor expansion of m in n 6.067 * [backup-simplify]: Simplify m into m 6.067 * [taylor]: Taking taylor expansion of n in n 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (* m 0) into 0 6.068 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.068 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.068 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in n 6.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in n 6.068 * [taylor]: Taking taylor expansion of 1/4 in n 6.068 * [backup-simplify]: Simplify 1/4 into 1/4 6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in n 6.068 * [taylor]: Taking taylor expansion of (pow m 2) in n 6.068 * [taylor]: Taking taylor expansion of m in n 6.068 * [backup-simplify]: Simplify m into m 6.068 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.068 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n 6.068 * [taylor]: Taking taylor expansion of (/ 1 l) in n 6.068 * [taylor]: Taking taylor expansion of l in n 6.068 * [backup-simplify]: Simplify l into l 6.068 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.068 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.068 * [taylor]: Taking taylor expansion of M in n 6.068 * [backup-simplify]: Simplify M into M 6.068 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.068 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.068 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.068 * [taylor]: Taking taylor expansion of 1/4 in n 6.068 * [backup-simplify]: Simplify 1/4 into 1/4 6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.068 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.068 * [taylor]: Taking taylor expansion of n in n 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (* 1 1) into 1 6.069 * [backup-simplify]: Simplify (/ 1 1) into 1 6.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in n 6.069 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.069 * [taylor]: Taking taylor expansion of (* M n) in n 6.069 * [taylor]: Taking taylor expansion of M in n 6.069 * [backup-simplify]: Simplify M into M 6.069 * [taylor]: Taking taylor expansion of n in n 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (* M 0) into 0 6.070 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.070 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.070 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in n 6.070 * [taylor]: Taking taylor expansion of (* m M) in n 6.070 * [taylor]: Taking taylor expansion of m in n 6.070 * [backup-simplify]: Simplify m into m 6.070 * [taylor]: Taking taylor expansion of M in n 6.070 * [backup-simplify]: Simplify M into M 6.070 * [backup-simplify]: Simplify (* m M) into (* m M) 6.070 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.070 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m 6.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in m 6.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.070 * [taylor]: Taking taylor expansion of 1/2 in m 6.070 * [backup-simplify]: Simplify 1/2 into 1/2 6.071 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.071 * [taylor]: Taking taylor expansion of (* m n) in m 6.071 * [taylor]: Taking taylor expansion of m in m 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [taylor]: Taking taylor expansion of n in m 6.071 * [backup-simplify]: Simplify n into n 6.071 * [backup-simplify]: Simplify (* 0 n) into 0 6.071 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.071 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.071 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m 6.071 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.071 * [taylor]: Taking taylor expansion of 1/4 in m 6.071 * [backup-simplify]: Simplify 1/4 into 1/4 6.071 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.071 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.071 * [taylor]: Taking taylor expansion of m in m 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (* 1 1) into 1 6.072 * [backup-simplify]: Simplify (/ 1 1) into 1 6.072 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m 6.072 * [taylor]: Taking taylor expansion of (/ 1 l) in m 6.072 * [taylor]: Taking taylor expansion of l in m 6.072 * [backup-simplify]: Simplify l into l 6.072 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m 6.072 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.072 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.072 * [taylor]: Taking taylor expansion of M in m 6.072 * [backup-simplify]: Simplify M into M 6.073 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.073 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.073 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.073 * [taylor]: Taking taylor expansion of 1/4 in m 6.073 * [backup-simplify]: Simplify 1/4 into 1/4 6.073 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.073 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.073 * [taylor]: Taking taylor expansion of n in m 6.073 * [backup-simplify]: Simplify n into n 6.073 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.073 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m 6.073 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.073 * [taylor]: Taking taylor expansion of (* M n) in m 6.073 * [taylor]: Taking taylor expansion of M in m 6.073 * [backup-simplify]: Simplify M into M 6.073 * [taylor]: Taking taylor expansion of n in m 6.073 * [backup-simplify]: Simplify n into n 6.073 * [backup-simplify]: Simplify (* M n) into (* M n) 6.073 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.073 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.074 * [taylor]: Taking taylor expansion of (* m M) in m 6.074 * [taylor]: Taking taylor expansion of m in m 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [taylor]: Taking taylor expansion of M in m 6.074 * [backup-simplify]: Simplify M into M 6.074 * [backup-simplify]: Simplify (* 0 M) into 0 6.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.074 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.074 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in l 6.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in l 6.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.074 * [taylor]: Taking taylor expansion of 1/2 in l 6.074 * [backup-simplify]: Simplify 1/2 into 1/2 6.074 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.075 * [taylor]: Taking taylor expansion of (* m n) in l 6.075 * [taylor]: Taking taylor expansion of m in l 6.075 * [backup-simplify]: Simplify m into m 6.075 * [taylor]: Taking taylor expansion of n in l 6.075 * [backup-simplify]: Simplify n into n 6.075 * [backup-simplify]: Simplify (* m n) into (* m n) 6.075 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.075 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.075 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.075 * [taylor]: Taking taylor expansion of 1/4 in l 6.075 * [backup-simplify]: Simplify 1/4 into 1/4 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.075 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.075 * [taylor]: Taking taylor expansion of m in l 6.075 * [backup-simplify]: Simplify m into m 6.075 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.075 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.075 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.075 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.075 * [taylor]: Taking taylor expansion of l in l 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.076 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.076 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.076 * [taylor]: Taking taylor expansion of M in l 6.076 * [backup-simplify]: Simplify M into M 6.076 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.076 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.076 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.076 * [taylor]: Taking taylor expansion of 1/4 in l 6.076 * [backup-simplify]: Simplify 1/4 into 1/4 6.076 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.076 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.076 * [taylor]: Taking taylor expansion of n in l 6.076 * [backup-simplify]: Simplify n into n 6.076 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.076 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in l 6.076 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.076 * [taylor]: Taking taylor expansion of (* M n) in l 6.076 * [taylor]: Taking taylor expansion of M in l 6.076 * [backup-simplify]: Simplify M into M 6.076 * [taylor]: Taking taylor expansion of n in l 6.076 * [backup-simplify]: Simplify n into n 6.076 * [backup-simplify]: Simplify (* M n) into (* M n) 6.077 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.077 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.077 * [taylor]: Taking taylor expansion of (* m M) in l 6.077 * [taylor]: Taking taylor expansion of m in l 6.077 * [backup-simplify]: Simplify m into m 6.077 * [taylor]: Taking taylor expansion of M in l 6.077 * [backup-simplify]: Simplify M into M 6.077 * [backup-simplify]: Simplify (* m M) into (* m M) 6.077 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.077 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in l 6.077 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in l 6.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.077 * [taylor]: Taking taylor expansion of 1/2 in l 6.077 * [backup-simplify]: Simplify 1/2 into 1/2 6.077 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.077 * [taylor]: Taking taylor expansion of (* m n) in l 6.077 * [taylor]: Taking taylor expansion of m in l 6.077 * [backup-simplify]: Simplify m into m 6.077 * [taylor]: Taking taylor expansion of n in l 6.077 * [backup-simplify]: Simplify n into n 6.077 * [backup-simplify]: Simplify (* m n) into (* m n) 6.077 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.077 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.077 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.077 * [taylor]: Taking taylor expansion of 1/4 in l 6.077 * [backup-simplify]: Simplify 1/4 into 1/4 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.077 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.077 * [taylor]: Taking taylor expansion of m in l 6.077 * [backup-simplify]: Simplify m into m 6.078 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.078 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.078 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.078 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.078 * [taylor]: Taking taylor expansion of l in l 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (/ 1 1) into 1 6.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.078 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.078 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.078 * [taylor]: Taking taylor expansion of M in l 6.078 * [backup-simplify]: Simplify M into M 6.078 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.078 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.079 * [taylor]: Taking taylor expansion of 1/4 in l 6.079 * [backup-simplify]: Simplify 1/4 into 1/4 6.079 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.079 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.079 * [taylor]: Taking taylor expansion of n in l 6.079 * [backup-simplify]: Simplify n into n 6.079 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.079 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in l 6.079 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.079 * [taylor]: Taking taylor expansion of (* M n) in l 6.079 * [taylor]: Taking taylor expansion of M in l 6.079 * [backup-simplify]: Simplify M into M 6.079 * [taylor]: Taking taylor expansion of n in l 6.079 * [backup-simplify]: Simplify n into n 6.079 * [backup-simplify]: Simplify (* M n) into (* M n) 6.079 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.079 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.079 * [taylor]: Taking taylor expansion of (* m M) in l 6.079 * [taylor]: Taking taylor expansion of m in l 6.079 * [backup-simplify]: Simplify m into m 6.079 * [taylor]: Taking taylor expansion of M in l 6.079 * [backup-simplify]: Simplify M into M 6.079 * [backup-simplify]: Simplify (* m M) into (* m M) 6.079 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.080 * [backup-simplify]: Simplify (+ 1 0) into 1 6.080 * [backup-simplify]: Simplify (+ 0 1) into 1 6.081 * [backup-simplify]: Simplify (+ 0 1) into 1 6.081 * [backup-simplify]: Simplify (+ 1 0) into 1 6.081 * [taylor]: Taking taylor expansion of 1 in m 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* m n))) into (/ 1/2 (* m n)) 6.081 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow m 2))) into (/ 1/4 (pow m 2)) 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.082 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1/4 (pow n 2))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.083 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.083 * [backup-simplify]: Simplify (+ (/ 1/4 (pow m 2)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow m 2))))) 6.083 * [backup-simplify]: Simplify (+ (/ 1/2 (* m n)) (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (* 1/4 (/ 1 (pow m 2)))))) into (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) 6.084 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) (/ 1 (* m M))) into (+ (/ 1 (* M n)) (/ 1 (* m M))) 6.084 * [backup-simplify]: Simplify (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) into (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.085 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (- (+ (/ 1 (* M n)) (/ 1 (* m M))))) into (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.085 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) in m 6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.085 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.085 * [taylor]: Taking taylor expansion of M in m 6.085 * [backup-simplify]: Simplify M into M 6.085 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.085 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.085 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2))))) in m 6.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.085 * [taylor]: Taking taylor expansion of 1/2 in m 6.085 * [backup-simplify]: Simplify 1/2 into 1/2 6.085 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.085 * [taylor]: Taking taylor expansion of (* m n) in m 6.085 * [taylor]: Taking taylor expansion of m in m 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [taylor]: Taking taylor expansion of n in m 6.085 * [backup-simplify]: Simplify n into n 6.085 * [backup-simplify]: Simplify (* 0 n) into 0 6.086 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.086 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.086 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))) in m 6.086 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.086 * [taylor]: Taking taylor expansion of 1/4 in m 6.086 * [backup-simplify]: Simplify 1/4 into 1/4 6.086 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.086 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.086 * [taylor]: Taking taylor expansion of m in m 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.087 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.087 * [taylor]: Taking taylor expansion of 1/4 in m 6.087 * [backup-simplify]: Simplify 1/4 into 1/4 6.087 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.087 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.087 * [taylor]: Taking taylor expansion of n in m 6.087 * [backup-simplify]: Simplify n into n 6.087 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.087 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m 6.087 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.087 * [taylor]: Taking taylor expansion of (* M n) in m 6.087 * [taylor]: Taking taylor expansion of M in m 6.087 * [backup-simplify]: Simplify M into M 6.087 * [taylor]: Taking taylor expansion of n in m 6.087 * [backup-simplify]: Simplify n into n 6.087 * [backup-simplify]: Simplify (* M n) into (* M n) 6.087 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.088 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.088 * [taylor]: Taking taylor expansion of (* m M) in m 6.088 * [taylor]: Taking taylor expansion of m in m 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify 1 into 1 6.088 * [taylor]: Taking taylor expansion of M in m 6.088 * [backup-simplify]: Simplify M into M 6.088 * [backup-simplify]: Simplify (* 0 M) into 0 6.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.088 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.089 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.089 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.090 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.090 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.091 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.091 * [taylor]: Taking taylor expansion of 1/4 in n 6.091 * [backup-simplify]: Simplify 1/4 into 1/4 6.091 * [backup-simplify]: Simplify (+ (* m 0) (* 0 n)) into 0 6.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))))) into 0 6.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m n)))) into 0 6.092 * [backup-simplify]: Simplify (+ (* m 0) (* 0 m)) into 0 6.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))))) into 0 6.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow m 2)))) into 0 6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.094 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.094 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.095 * [backup-simplify]: Simplify (+ 0 0) into 0 6.096 * [backup-simplify]: Simplify (+ 0 0) into 0 6.096 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.096 * [backup-simplify]: Simplify (+ (* m 0) (* 0 M)) into 0 6.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (- 0) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.098 * [taylor]: Taking taylor expansion of 0 in m 6.098 * [backup-simplify]: Simplify 0 into 0 6.098 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.100 * [backup-simplify]: Simplify (+ 0 0) into 0 6.100 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 6.100 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 n))) into (* 1/2 (/ 1 n)) 6.101 * [backup-simplify]: Simplify (+ 0 (/ 1 M)) into (/ 1 M) 6.101 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.101 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.101 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.101 * [taylor]: Taking taylor expansion of 1/2 in n 6.101 * [backup-simplify]: Simplify 1/2 into 1/2 6.101 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.101 * [taylor]: Taking taylor expansion of n in n 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (/ 1 1) into 1 6.101 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.101 * [taylor]: Taking taylor expansion of M in n 6.102 * [backup-simplify]: Simplify M into M 6.102 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.102 * [taylor]: Taking taylor expansion of 1 in n 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 n))) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))) into 0 6.104 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 m))) into 0 6.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.107 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.109 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.110 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.112 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 M))) into 0 6.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (- 0) into 0 6.113 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [taylor]: Taking taylor expansion of 0 in m 6.113 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 6.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.117 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.117 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (pow n 2))) into (* 1/4 (/ 1 (pow n 2))) 6.117 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ 1 (pow n 2)))) into (* 1/4 (/ 1 (pow n 2))) 6.118 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 6.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.119 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) 0) into (/ 1 (* M n)) 6.119 * [backup-simplify]: Simplify (- (/ 1 (* M n))) into (- (/ 1 (* M n))) 6.119 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (- (/ 1 (* M n)))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.119 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.119 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.119 * [taylor]: Taking taylor expansion of M in n 6.119 * [backup-simplify]: Simplify M into M 6.119 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.119 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.119 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.119 * [taylor]: Taking taylor expansion of 1/4 in n 6.119 * [backup-simplify]: Simplify 1/4 into 1/4 6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.119 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.119 * [taylor]: Taking taylor expansion of n in n 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (* 1 1) into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.120 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.120 * [taylor]: Taking taylor expansion of (* M n) in n 6.120 * [taylor]: Taking taylor expansion of M in n 6.120 * [backup-simplify]: Simplify M into M 6.120 * [taylor]: Taking taylor expansion of n in n 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (* M 0) into 0 6.121 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.121 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.121 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.122 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.122 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.122 * [taylor]: Taking taylor expansion of 1/4 in M 6.122 * [backup-simplify]: Simplify 1/4 into 1/4 6.122 * [taylor]: Taking taylor expansion of 0 in n 6.122 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.123 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.123 * [taylor]: Taking taylor expansion of 1/2 in M 6.123 * [backup-simplify]: Simplify 1/2 into 1/2 6.123 * [taylor]: Taking taylor expansion of 1/4 in M 6.123 * [backup-simplify]: Simplify 1/4 into 1/4 6.125 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n)))))) into 0 6.127 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 m)))) into 0 6.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2)))))) into 0 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.130 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.131 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2)))))) into 0 6.133 * [backup-simplify]: Simplify (+ 0 0) into 0 6.133 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.136 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [backup-simplify]: Simplify (- 0) into 0 6.137 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [taylor]: Taking taylor expansion of 0 in m 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [taylor]: Taking taylor expansion of 0 in n 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 6.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 M)))) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (- 0) into 0 6.147 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [taylor]: Taking taylor expansion of 0 in n 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [taylor]: Taking taylor expansion of 0 in n 6.147 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.150 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.150 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.150 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.150 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.150 * [taylor]: Taking taylor expansion of M in M 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.152 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.152 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.152 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.152 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.152 * [taylor]: Taking taylor expansion of M in M 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ 1 1) into 1 6.153 * [taylor]: Taking taylor expansion of 1 in M 6.153 * [backup-simplify]: Simplify 1 into 1 6.153 * [taylor]: Taking taylor expansion of 0 in M 6.153 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))))) into 0 6.157 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 m))))) into 0 6.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))))) into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.163 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.164 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))))) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (+ 0 0) into 0 6.167 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.168 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.169 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [backup-simplify]: Simplify (- 0) into 0 6.170 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [taylor]: Taking taylor expansion of 0 in m 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [taylor]: Taking taylor expansion of 0 in n 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [taylor]: Taking taylor expansion of 0 in n 6.170 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.178 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.179 * [backup-simplify]: Simplify (+ 0 0) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.180 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.183 * [backup-simplify]: Simplify (+ 0 0) into 0 6.183 * [backup-simplify]: Simplify (- 0) into 0 6.183 * [backup-simplify]: Simplify (+ 0 0) into 0 6.183 * [taylor]: Taking taylor expansion of 0 in n 6.183 * [backup-simplify]: Simplify 0 into 0 6.183 * [taylor]: Taking taylor expansion of 0 in n 6.184 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.187 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.187 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.188 * [backup-simplify]: Simplify (- 0) into 0 6.188 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.188 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.188 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.188 * [taylor]: Taking taylor expansion of M in M 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (* 1 1) into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [backup-simplify]: Simplify 1 into 1 6.193 * [taylor]: Taking taylor expansion of 0 in M 6.193 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.196 * [backup-simplify]: Simplify (- 0) into 0 6.196 * [backup-simplify]: Simplify (+ 0 0) into 0 6.196 * [taylor]: Taking taylor expansion of 0 in M 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [taylor]: Taking taylor expansion of 0 in M 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [taylor]: Taking taylor expansion of 0 in M 6.196 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify (- 1) into -1 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [backup-simplify]: Simplify (- 1) into -1 6.197 * [backup-simplify]: Simplify -1 into -1 6.198 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* (/ 1 (/ 1 m)) 1)))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.198 * [backup-simplify]: Simplify (+ (/ 1 (- l)) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) into (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) 6.198 * [approximate]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in (l m n M) around 0 6.198 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in M 6.198 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in M 6.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in M 6.198 * [taylor]: Taking taylor expansion of 1/4 in M 6.198 * [backup-simplify]: Simplify 1/4 into 1/4 6.198 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in M 6.198 * [taylor]: Taking taylor expansion of (pow m 2) in M 6.199 * [taylor]: Taking taylor expansion of m in M 6.199 * [backup-simplify]: Simplify m into m 6.199 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.199 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.199 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in M 6.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in M 6.199 * [taylor]: Taking taylor expansion of 1/2 in M 6.199 * [backup-simplify]: Simplify 1/2 into 1/2 6.199 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in M 6.199 * [taylor]: Taking taylor expansion of (* m n) in M 6.199 * [taylor]: Taking taylor expansion of m in M 6.199 * [backup-simplify]: Simplify m into m 6.199 * [taylor]: Taking taylor expansion of n in M 6.199 * [backup-simplify]: Simplify n into n 6.199 * [backup-simplify]: Simplify (* m n) into (* m n) 6.199 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in M 6.199 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.199 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.199 * [taylor]: Taking taylor expansion of M in M 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (/ 1 1) into 1 6.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in M 6.200 * [taylor]: Taking taylor expansion of 1/4 in M 6.200 * [backup-simplify]: Simplify 1/4 into 1/4 6.200 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in M 6.200 * [taylor]: Taking taylor expansion of (pow n 2) in M 6.200 * [taylor]: Taking taylor expansion of n in M 6.200 * [backup-simplify]: Simplify n into n 6.200 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.200 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in M 6.200 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in M 6.200 * [taylor]: Taking taylor expansion of (* M n) in M 6.200 * [taylor]: Taking taylor expansion of M in M 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [taylor]: Taking taylor expansion of n in M 6.200 * [backup-simplify]: Simplify n into n 6.200 * [backup-simplify]: Simplify (* 0 n) into 0 6.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.200 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.200 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in M 6.200 * [taylor]: Taking taylor expansion of (/ 1 l) in M 6.200 * [taylor]: Taking taylor expansion of l in M 6.200 * [backup-simplify]: Simplify l into l 6.200 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.200 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in M 6.200 * [taylor]: Taking taylor expansion of (* m M) in M 6.200 * [taylor]: Taking taylor expansion of m in M 6.200 * [backup-simplify]: Simplify m into m 6.200 * [taylor]: Taking taylor expansion of M in M 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (* m 0) into 0 6.201 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.201 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.201 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in n 6.201 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in n 6.201 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in n 6.201 * [taylor]: Taking taylor expansion of 1/4 in n 6.201 * [backup-simplify]: Simplify 1/4 into 1/4 6.201 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in n 6.201 * [taylor]: Taking taylor expansion of (pow m 2) in n 6.201 * [taylor]: Taking taylor expansion of m in n 6.201 * [backup-simplify]: Simplify m into m 6.201 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.201 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.201 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n 6.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in n 6.201 * [taylor]: Taking taylor expansion of 1/2 in n 6.201 * [backup-simplify]: Simplify 1/2 into 1/2 6.201 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in n 6.201 * [taylor]: Taking taylor expansion of (* m n) in n 6.201 * [taylor]: Taking taylor expansion of m in n 6.201 * [backup-simplify]: Simplify m into m 6.201 * [taylor]: Taking taylor expansion of n in n 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (* m 0) into 0 6.202 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 6.202 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.202 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.202 * [taylor]: Taking taylor expansion of M in n 6.202 * [backup-simplify]: Simplify M into M 6.202 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.202 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.202 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.202 * [taylor]: Taking taylor expansion of 1/4 in n 6.202 * [backup-simplify]: Simplify 1/4 into 1/4 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.202 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.202 * [taylor]: Taking taylor expansion of n in n 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.203 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in n 6.203 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.203 * [taylor]: Taking taylor expansion of (* M n) in n 6.203 * [taylor]: Taking taylor expansion of M in n 6.203 * [backup-simplify]: Simplify M into M 6.203 * [taylor]: Taking taylor expansion of n in n 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (* M 0) into 0 6.204 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.204 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.204 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in n 6.204 * [taylor]: Taking taylor expansion of (/ 1 l) in n 6.204 * [taylor]: Taking taylor expansion of l in n 6.204 * [backup-simplify]: Simplify l into l 6.204 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.204 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in n 6.204 * [taylor]: Taking taylor expansion of (* m M) in n 6.204 * [taylor]: Taking taylor expansion of m in n 6.204 * [backup-simplify]: Simplify m into m 6.204 * [taylor]: Taking taylor expansion of M in n 6.204 * [backup-simplify]: Simplify M into M 6.204 * [backup-simplify]: Simplify (* m M) into (* m M) 6.204 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.204 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in m 6.204 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m 6.204 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.204 * [taylor]: Taking taylor expansion of 1/4 in m 6.204 * [backup-simplify]: Simplify 1/4 into 1/4 6.204 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.204 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.204 * [taylor]: Taking taylor expansion of m in m 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (* 1 1) into 1 6.205 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m 6.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.205 * [taylor]: Taking taylor expansion of 1/2 in m 6.205 * [backup-simplify]: Simplify 1/2 into 1/2 6.205 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.205 * [taylor]: Taking taylor expansion of (* m n) in m 6.205 * [taylor]: Taking taylor expansion of m in m 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [taylor]: Taking taylor expansion of n in m 6.205 * [backup-simplify]: Simplify n into n 6.205 * [backup-simplify]: Simplify (* 0 n) into 0 6.206 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.206 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.206 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.206 * [taylor]: Taking taylor expansion of M in m 6.206 * [backup-simplify]: Simplify M into M 6.206 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.206 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.206 * [taylor]: Taking taylor expansion of 1/4 in m 6.206 * [backup-simplify]: Simplify 1/4 into 1/4 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.206 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.206 * [taylor]: Taking taylor expansion of n in m 6.206 * [backup-simplify]: Simplify n into n 6.206 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.207 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in m 6.207 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.207 * [taylor]: Taking taylor expansion of (* M n) in m 6.207 * [taylor]: Taking taylor expansion of M in m 6.207 * [backup-simplify]: Simplify M into M 6.207 * [taylor]: Taking taylor expansion of n in m 6.207 * [backup-simplify]: Simplify n into n 6.207 * [backup-simplify]: Simplify (* M n) into (* M n) 6.207 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.207 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in m 6.207 * [taylor]: Taking taylor expansion of (/ 1 l) in m 6.207 * [taylor]: Taking taylor expansion of l in m 6.207 * [backup-simplify]: Simplify l into l 6.207 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 6.207 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.207 * [taylor]: Taking taylor expansion of (* m M) in m 6.207 * [taylor]: Taking taylor expansion of m in m 6.207 * [backup-simplify]: Simplify 0 into 0 6.207 * [backup-simplify]: Simplify 1 into 1 6.207 * [taylor]: Taking taylor expansion of M in m 6.207 * [backup-simplify]: Simplify M into M 6.207 * [backup-simplify]: Simplify (* 0 M) into 0 6.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.208 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.208 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in l 6.208 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.208 * [taylor]: Taking taylor expansion of 1/4 in l 6.208 * [backup-simplify]: Simplify 1/4 into 1/4 6.208 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.208 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.208 * [taylor]: Taking taylor expansion of m in l 6.208 * [backup-simplify]: Simplify m into m 6.208 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.208 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.208 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.208 * [taylor]: Taking taylor expansion of 1/2 in l 6.208 * [backup-simplify]: Simplify 1/2 into 1/2 6.208 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.208 * [taylor]: Taking taylor expansion of (* m n) in l 6.208 * [taylor]: Taking taylor expansion of m in l 6.208 * [backup-simplify]: Simplify m into m 6.208 * [taylor]: Taking taylor expansion of n in l 6.208 * [backup-simplify]: Simplify n into n 6.208 * [backup-simplify]: Simplify (* m n) into (* m n) 6.209 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.209 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.209 * [taylor]: Taking taylor expansion of M in l 6.209 * [backup-simplify]: Simplify M into M 6.209 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.209 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.209 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.209 * [taylor]: Taking taylor expansion of 1/4 in l 6.209 * [backup-simplify]: Simplify 1/4 into 1/4 6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.209 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.209 * [taylor]: Taking taylor expansion of n in l 6.209 * [backup-simplify]: Simplify n into n 6.209 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.209 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in l 6.209 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.209 * [taylor]: Taking taylor expansion of (* M n) in l 6.209 * [taylor]: Taking taylor expansion of M in l 6.209 * [backup-simplify]: Simplify M into M 6.209 * [taylor]: Taking taylor expansion of n in l 6.209 * [backup-simplify]: Simplify n into n 6.209 * [backup-simplify]: Simplify (* M n) into (* M n) 6.209 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.209 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in l 6.209 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.210 * [taylor]: Taking taylor expansion of l in l 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.210 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.210 * [taylor]: Taking taylor expansion of (* m M) in l 6.210 * [taylor]: Taking taylor expansion of m in l 6.210 * [backup-simplify]: Simplify m into m 6.210 * [taylor]: Taking taylor expansion of M in l 6.210 * [backup-simplify]: Simplify M into M 6.210 * [backup-simplify]: Simplify (* m M) into (* m M) 6.210 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.210 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M))))) in l 6.210 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l 6.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l 6.210 * [taylor]: Taking taylor expansion of 1/4 in l 6.210 * [backup-simplify]: Simplify 1/4 into 1/4 6.210 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in l 6.210 * [taylor]: Taking taylor expansion of (pow m 2) in l 6.210 * [taylor]: Taking taylor expansion of m in l 6.210 * [backup-simplify]: Simplify m into m 6.211 * [backup-simplify]: Simplify (* m m) into (pow m 2) 6.211 * [backup-simplify]: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) 6.211 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l 6.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l 6.211 * [taylor]: Taking taylor expansion of 1/2 in l 6.211 * [backup-simplify]: Simplify 1/2 into 1/2 6.211 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in l 6.211 * [taylor]: Taking taylor expansion of (* m n) in l 6.211 * [taylor]: Taking taylor expansion of m in l 6.211 * [backup-simplify]: Simplify m into m 6.211 * [taylor]: Taking taylor expansion of n in l 6.211 * [backup-simplify]: Simplify n into n 6.211 * [backup-simplify]: Simplify (* m n) into (* m n) 6.211 * [backup-simplify]: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) 6.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l 6.211 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in l 6.211 * [taylor]: Taking taylor expansion of (pow M 2) in l 6.211 * [taylor]: Taking taylor expansion of M in l 6.211 * [backup-simplify]: Simplify M into M 6.211 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.211 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.211 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in l 6.211 * [taylor]: Taking taylor expansion of 1/4 in l 6.211 * [backup-simplify]: Simplify 1/4 into 1/4 6.211 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in l 6.211 * [taylor]: Taking taylor expansion of (pow n 2) in l 6.211 * [taylor]: Taking taylor expansion of n in l 6.211 * [backup-simplify]: Simplify n into n 6.212 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.212 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 l) (/ 1 (* m M)))) in l 6.212 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in l 6.212 * [taylor]: Taking taylor expansion of (* M n) in l 6.212 * [taylor]: Taking taylor expansion of M in l 6.212 * [backup-simplify]: Simplify M into M 6.212 * [taylor]: Taking taylor expansion of n in l 6.212 * [backup-simplify]: Simplify n into n 6.212 * [backup-simplify]: Simplify (* M n) into (* M n) 6.212 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.212 * [taylor]: Taking taylor expansion of (+ (/ 1 l) (/ 1 (* m M))) in l 6.212 * [taylor]: Taking taylor expansion of (/ 1 l) in l 6.212 * [taylor]: Taking taylor expansion of l in l 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 1 into 1 6.212 * [backup-simplify]: Simplify (/ 1 1) into 1 6.212 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in l 6.212 * [taylor]: Taking taylor expansion of (* m M) in l 6.212 * [taylor]: Taking taylor expansion of m in l 6.213 * [backup-simplify]: Simplify m into m 6.213 * [taylor]: Taking taylor expansion of M in l 6.213 * [backup-simplify]: Simplify M into M 6.213 * [backup-simplify]: Simplify (* m M) into (* m M) 6.213 * [backup-simplify]: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) 6.213 * [backup-simplify]: Simplify (+ 1 0) into 1 6.214 * [backup-simplify]: Simplify (+ 0 1) into 1 6.214 * [backup-simplify]: Simplify (- 1) into -1 6.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.214 * [taylor]: Taking taylor expansion of -1 in m 6.214 * [backup-simplify]: Simplify -1 into -1 6.214 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow m 2))) into (/ 1/4 (pow m 2)) 6.215 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* m n))) into (/ 1/2 (* m n)) 6.215 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.215 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1/4 (pow n 2))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.215 * [backup-simplify]: Simplify (+ (/ 1/2 (* m n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (* 1/4 (/ 1 (pow n 2))))) 6.215 * [backup-simplify]: Simplify (+ (/ 1/4 (pow m 2)) (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (* 1/4 (/ 1 (pow n 2)))))) into (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) 6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (* m M))) into (/ 1 (* m M)) 6.216 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) (/ 1 (* m M))) into (+ (/ 1 (* M n)) (/ 1 (* m M))) 6.216 * [backup-simplify]: Simplify (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) into (- (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.217 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (- (+ (/ 1 (* M n)) (/ 1 (* m M))))) into (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) 6.217 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m 6.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))) in m 6.217 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 6.217 * [taylor]: Taking taylor expansion of (pow M 2) in m 6.217 * [taylor]: Taking taylor expansion of M in m 6.217 * [backup-simplify]: Simplify M into M 6.217 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.217 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2))))) in m 6.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m 6.217 * [taylor]: Taking taylor expansion of 1/2 in m 6.217 * [backup-simplify]: Simplify 1/2 into 1/2 6.217 * [taylor]: Taking taylor expansion of (/ 1 (* m n)) in m 6.217 * [taylor]: Taking taylor expansion of (* m n) in m 6.217 * [taylor]: Taking taylor expansion of m in m 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 1 into 1 6.217 * [taylor]: Taking taylor expansion of n in m 6.217 * [backup-simplify]: Simplify n into n 6.217 * [backup-simplify]: Simplify (* 0 n) into 0 6.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 6.218 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.218 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))) in m 6.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 6.218 * [taylor]: Taking taylor expansion of 1/4 in m 6.218 * [backup-simplify]: Simplify 1/4 into 1/4 6.218 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 6.218 * [taylor]: Taking taylor expansion of (pow m 2) in m 6.218 * [taylor]: Taking taylor expansion of m in m 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify (* 1 1) into 1 6.219 * [backup-simplify]: Simplify (/ 1 1) into 1 6.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m 6.219 * [taylor]: Taking taylor expansion of 1/4 in m 6.219 * [backup-simplify]: Simplify 1/4 into 1/4 6.219 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in m 6.219 * [taylor]: Taking taylor expansion of (pow n 2) in m 6.219 * [taylor]: Taking taylor expansion of n in m 6.219 * [backup-simplify]: Simplify n into n 6.219 * [backup-simplify]: Simplify (* n n) into (pow n 2) 6.219 * [backup-simplify]: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) 6.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m 6.219 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in m 6.219 * [taylor]: Taking taylor expansion of (* M n) in m 6.219 * [taylor]: Taking taylor expansion of M in m 6.219 * [backup-simplify]: Simplify M into M 6.219 * [taylor]: Taking taylor expansion of n in m 6.219 * [backup-simplify]: Simplify n into n 6.219 * [backup-simplify]: Simplify (* M n) into (* M n) 6.219 * [backup-simplify]: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) 6.219 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 6.219 * [taylor]: Taking taylor expansion of (* m M) in m 6.219 * [taylor]: Taking taylor expansion of m in m 6.219 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.220 * [taylor]: Taking taylor expansion of M in m 6.220 * [backup-simplify]: Simplify M into M 6.220 * [backup-simplify]: Simplify (* 0 M) into 0 6.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 6.220 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.221 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.221 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.221 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.222 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.222 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.222 * [taylor]: Taking taylor expansion of 1/4 in n 6.222 * [backup-simplify]: Simplify 1/4 into 1/4 6.222 * [backup-simplify]: Simplify (+ (* m 0) (* 0 m)) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))))) into 0 6.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow m 2)))) into 0 6.223 * [backup-simplify]: Simplify (+ (* m 0) (* 0 n)) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))))) into 0 6.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* m n)))) into 0 6.224 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.224 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.225 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (+ (* m 0) (* 0 M)) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))))) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (- 0) into 0 6.229 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [taylor]: Taking taylor expansion of 0 in m 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.231 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 6.231 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 n))) into (* 1/2 (/ 1 n)) 6.232 * [backup-simplify]: Simplify (+ 0 (/ 1 M)) into (/ 1 M) 6.232 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.232 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.232 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.232 * [taylor]: Taking taylor expansion of 1/2 in n 6.232 * [backup-simplify]: Simplify 1/2 into 1/2 6.232 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.232 * [taylor]: Taking taylor expansion of n in n 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (/ 1 1) into 1 6.232 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.232 * [taylor]: Taking taylor expansion of M in n 6.232 * [backup-simplify]: Simplify M into M 6.232 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.232 * [taylor]: Taking taylor expansion of -1 in n 6.232 * [backup-simplify]: Simplify -1 into -1 6.233 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 m))) into 0 6.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))) into 0 6.234 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 n))) into 0 6.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))) into 0 6.235 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.235 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.236 * [backup-simplify]: Simplify (+ 0 0) into 0 6.236 * [backup-simplify]: Simplify (+ 0 0) into 0 6.237 * [backup-simplify]: Simplify (+ 0 0) into 0 6.237 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (* 0 M))) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.238 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (- 0) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [taylor]: Taking taylor expansion of 0 in m 6.239 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 6.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.242 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) 6.242 * [backup-simplify]: Simplify (+ 0 (/ 1/4 (pow n 2))) into (* 1/4 (/ 1 (pow n 2))) 6.242 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ 1 (pow n 2)))) into (* 1/4 (/ 1 (pow n 2))) 6.242 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) 6.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 6.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.243 * [backup-simplify]: Simplify (+ (/ 1 (* M n)) 0) into (/ 1 (* M n)) 6.243 * [backup-simplify]: Simplify (- (/ 1 (* M n))) into (- (/ 1 (* M n))) 6.243 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (- (/ 1 (* M n)))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.243 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.243 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.243 * [taylor]: Taking taylor expansion of M in n 6.243 * [backup-simplify]: Simplify M into M 6.243 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.243 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.243 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.243 * [taylor]: Taking taylor expansion of 1/4 in n 6.243 * [backup-simplify]: Simplify 1/4 into 1/4 6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.243 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.243 * [taylor]: Taking taylor expansion of n in n 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* 1 1) into 1 6.244 * [backup-simplify]: Simplify (/ 1 1) into 1 6.244 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.244 * [taylor]: Taking taylor expansion of (* M n) in n 6.244 * [taylor]: Taking taylor expansion of M in n 6.244 * [backup-simplify]: Simplify M into M 6.244 * [taylor]: Taking taylor expansion of n in n 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* M 0) into 0 6.244 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.244 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.245 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.245 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.245 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.245 * [taylor]: Taking taylor expansion of 1/4 in M 6.245 * [backup-simplify]: Simplify 1/4 into 1/4 6.245 * [taylor]: Taking taylor expansion of 0 in n 6.245 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.246 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.246 * [taylor]: Taking taylor expansion of 1/2 in M 6.246 * [backup-simplify]: Simplify 1/2 into 1/2 6.246 * [taylor]: Taking taylor expansion of 1/4 in M 6.246 * [backup-simplify]: Simplify 1/4 into 1/4 6.247 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 m)))) into 0 6.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2)))))) into 0 6.248 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n)))))) into 0 6.250 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.251 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.252 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2)))))) into 0 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.252 * [backup-simplify]: Simplify (+ 0 0) into 0 6.253 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (* 0 M)))) into 0 6.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [backup-simplify]: Simplify (- 0) into 0 6.255 * [backup-simplify]: Simplify (+ 0 0) into 0 6.255 * [taylor]: Taking taylor expansion of 0 in m 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [taylor]: Taking taylor expansion of 0 in n 6.255 * [backup-simplify]: Simplify 0 into 0 6.256 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 6.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 6.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 6.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ (* n 0) (* 0 n)) into 0 6.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 6.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.260 * [backup-simplify]: Simplify (+ (* M 0) (* 0 n)) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 6.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 M)))) into 0 6.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [backup-simplify]: Simplify (- 0) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.262 * [taylor]: Taking taylor expansion of 0 in n 6.262 * [backup-simplify]: Simplify 0 into 0 6.262 * [taylor]: Taking taylor expansion of 0 in n 6.262 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.265 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.265 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.265 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.265 * [taylor]: Taking taylor expansion of M in M 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.267 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.268 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.268 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.268 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.268 * [taylor]: Taking taylor expansion of M in M 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [taylor]: Taking taylor expansion of -1 in M 6.268 * [backup-simplify]: Simplify -1 into -1 6.268 * [taylor]: Taking taylor expansion of 0 in M 6.268 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 m))))) into 0 6.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow m 2)) (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))) (* 0 (/ 0 (pow m 2))))) into 0 6.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow m 2))))))) into 0 6.271 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m n)) (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))) (* 0 (/ 0 (* m n))))) into 0 6.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* m n))))))) into 0 6.273 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.274 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))))) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* m M)) (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))) (* 0 (/ 0 (* m M))))) into 0 6.279 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [backup-simplify]: Simplify (+ 0 0) into 0 6.279 * [backup-simplify]: Simplify (- 0) into 0 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [taylor]: Taking taylor expansion of 0 in m 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [taylor]: Taking taylor expansion of 0 in n 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [taylor]: Taking taylor expansion of 0 in n 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 6.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 6.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 6.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.285 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 6.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 6.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 6.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 6.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.289 * [backup-simplify]: Simplify (- 0) into 0 6.290 * [backup-simplify]: Simplify (+ 0 0) into 0 6.290 * [taylor]: Taking taylor expansion of 0 in n 6.290 * [backup-simplify]: Simplify 0 into 0 6.290 * [taylor]: Taking taylor expansion of 0 in n 6.290 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.293 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.293 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.294 * [backup-simplify]: Simplify (- 0) into 0 6.294 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.294 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.294 * [taylor]: Taking taylor expansion of M in M 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (* 1 1) into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [taylor]: Taking taylor expansion of 0 in M 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.297 * [backup-simplify]: Simplify (- 0) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.297 * [taylor]: Taking taylor expansion of 0 in M 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [taylor]: Taking taylor expansion of 0 in M 6.297 * [backup-simplify]: Simplify 0 into 0 6.297 * [taylor]: Taking taylor expansion of 0 in M 6.297 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (- 1) into -1 6.298 * [backup-simplify]: Simplify -1 into -1 6.298 * [backup-simplify]: Simplify (- 1) into -1 6.298 * [backup-simplify]: Simplify -1 into -1 6.299 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (* (/ 1 (/ 1 (- m))) 1)))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.300 * * * [progress]: simplifying candidates 6.300 * * * * [progress]: [ 1 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 2 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 3 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 4 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 5 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 6 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 7 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 8 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 9 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 10 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 11 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 12 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 13 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 14 / 71 ] simplifiying candidate # 6.300 * * * * [progress]: [ 15 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 16 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 17 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 18 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 19 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 20 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 21 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 22 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 23 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 24 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 25 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 26 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 27 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 28 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 29 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 30 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 31 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 32 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 33 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 34 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 35 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 36 / 71 ] simplifiying candidate # 6.301 * * * * [progress]: [ 37 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 38 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 39 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 40 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 41 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 42 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 43 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 44 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 45 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 46 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 47 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 48 / 71 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 6.302 * * * * [progress]: [ 49 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 50 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 51 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 52 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 53 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 54 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 55 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 56 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 57 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 58 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 59 / 71 ] simplifiying candidate # 6.302 * * * * [progress]: [ 60 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 61 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 62 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 63 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 64 / 71 ] simplifiying candidate #real (real->posit16 (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 6.303 * * * * [progress]: [ 65 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 66 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 67 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 68 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 69 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 70 / 71 ] simplifiying candidate # 6.303 * * * * [progress]: [ 71 / 71 ] simplifiying candidate # 6.307 * [simplify]: Simplifying: (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (exp l) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (log (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (* (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (sqrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (sqrt (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (+ (pow l 3) (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 3)) (+ (* l l) (- (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- (* l l) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ l (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (+ l (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (+ l (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (+ l (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (real->posit16 (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 6.309 * * [simplify]: iteration 1: (119 enodes) 6.334 * * [simplify]: iteration 2: (340 enodes) 6.481 * * [simplify]: iteration 3: (1141 enodes) 7.064 * * [simplify]: Extracting #0: cost 48 inf + 0 7.065 * * [simplify]: Extracting #1: cost 597 inf + 2 7.074 * * [simplify]: Extracting #2: cost 1702 inf + 322 7.088 * * [simplify]: Extracting #3: cost 1909 inf + 3946 7.139 * * [simplify]: Extracting #4: cost 1186 inf + 144577 7.263 * * [simplify]: Extracting #5: cost 178 inf + 429388 7.399 * * [simplify]: Extracting #6: cost 0 inf + 481997 7.538 * * [simplify]: Extracting #7: cost 0 inf + 481357 7.688 * [simplify]: Simplified to: 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M)) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M))) (* (+ (* M M) (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2))) (+ (* M M) (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)))) (* (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M)) (* (+ M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (+ (* M M) (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2))) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M)) (* (+ M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (+ (* M M) (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2))) (+ M (/ (+ n m) 2))) (* (* (+ M (/ (+ n m) 2)) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 2 (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* M (- (- (/ (+ n m) 2) M))) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* M (- (- (/ (+ n m) 2) M))) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* M (- (- (/ (+ n m) 2) M))) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* M (- (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M))) (* (* (+ M (/ (+ n m) 2)) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M))) (* (* (+ M (/ (+ n m) 2)) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (log (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (* (cbrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (cbrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l))) (cbrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (* (* (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l) (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (sqrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (sqrt (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (+ (* (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (* l l) l)) (+ (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* l (- l (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (* (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l) (- l (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (- l (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) l) (real->posit16 (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) l)) (+ (* m (+ (* 1/4 m) (* n 1/2))) (* n (* n 1/4))) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) (+ (* m (+ (* 1/4 m) (* n 1/2))) l) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) 7.697 * * * [progress]: adding candidates to table 8.806 * * [progress]: iteration 3 / 4 8.806 * * * [progress]: picking best candidate 8.836 * * * * [pick]: Picked #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 8.836 * * * [progress]: localizing error 8.920 * * * [progress]: generating rewritten candidates 8.920 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 8.940 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.940 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 9.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 9.178 * * * [progress]: generating series expansions 9.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 9.178 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 9.178 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 9.178 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 9.178 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 9.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 9.178 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 9.178 * [taylor]: Taking taylor expansion of 1/2 in M 9.178 * [backup-simplify]: Simplify 1/2 into 1/2 9.178 * [taylor]: Taking taylor expansion of (* K n) in M 9.178 * [taylor]: Taking taylor expansion of K in M 9.178 * [backup-simplify]: Simplify K into K 9.178 * [taylor]: Taking taylor expansion of n in M 9.178 * [backup-simplify]: Simplify n into n 9.179 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 9.179 * [taylor]: Taking taylor expansion of 1/2 in M 9.179 * [backup-simplify]: Simplify 1/2 into 1/2 9.179 * [taylor]: Taking taylor expansion of (* K m) in M 9.179 * [taylor]: Taking taylor expansion of K in M 9.179 * [backup-simplify]: Simplify K into K 9.179 * [taylor]: Taking taylor expansion of m in M 9.179 * [backup-simplify]: Simplify m into m 9.179 * [taylor]: Taking taylor expansion of M in M 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify 1 into 1 9.179 * [backup-simplify]: Simplify (* K n) into (* K n) 9.179 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.179 * [backup-simplify]: Simplify (* K m) into (* K m) 9.179 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.179 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 9.180 * [backup-simplify]: Simplify (- 0) into 0 9.180 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 9.180 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.180 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.180 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 9.180 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 9.180 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 9.180 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 9.180 * [taylor]: Taking taylor expansion of 1/2 in K 9.180 * [backup-simplify]: Simplify 1/2 into 1/2 9.180 * [taylor]: Taking taylor expansion of (* K n) in K 9.181 * [taylor]: Taking taylor expansion of K in K 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [taylor]: Taking taylor expansion of n in K 9.181 * [backup-simplify]: Simplify n into n 9.181 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 9.181 * [taylor]: Taking taylor expansion of 1/2 in K 9.181 * [backup-simplify]: Simplify 1/2 into 1/2 9.181 * [taylor]: Taking taylor expansion of (* K m) in K 9.181 * [taylor]: Taking taylor expansion of K in K 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [taylor]: Taking taylor expansion of m in K 9.181 * [backup-simplify]: Simplify m into m 9.181 * [taylor]: Taking taylor expansion of M in K 9.181 * [backup-simplify]: Simplify M into M 9.181 * [backup-simplify]: Simplify (* 0 n) into 0 9.181 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.181 * [backup-simplify]: Simplify (* 0 m) into 0 9.181 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.182 * [backup-simplify]: Simplify (- M) into (- M) 9.182 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.182 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.182 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.182 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 9.182 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 9.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 9.182 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.182 * [taylor]: Taking taylor expansion of 1/2 in n 9.182 * [backup-simplify]: Simplify 1/2 into 1/2 9.182 * [taylor]: Taking taylor expansion of (* K n) in n 9.182 * [taylor]: Taking taylor expansion of K in n 9.182 * [backup-simplify]: Simplify K into K 9.182 * [taylor]: Taking taylor expansion of n in n 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 9.182 * [taylor]: Taking taylor expansion of 1/2 in n 9.182 * [backup-simplify]: Simplify 1/2 into 1/2 9.182 * [taylor]: Taking taylor expansion of (* K m) in n 9.182 * [taylor]: Taking taylor expansion of K in n 9.182 * [backup-simplify]: Simplify K into K 9.182 * [taylor]: Taking taylor expansion of m in n 9.182 * [backup-simplify]: Simplify m into m 9.182 * [taylor]: Taking taylor expansion of M in n 9.182 * [backup-simplify]: Simplify M into M 9.183 * [backup-simplify]: Simplify (* K 0) into 0 9.183 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.183 * [backup-simplify]: Simplify (* K m) into (* K m) 9.183 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.183 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 9.183 * [backup-simplify]: Simplify (- M) into (- M) 9.183 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 9.183 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 9.183 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 9.183 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 9.183 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 9.183 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 9.183 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 9.183 * [taylor]: Taking taylor expansion of 1/2 in m 9.183 * [backup-simplify]: Simplify 1/2 into 1/2 9.183 * [taylor]: Taking taylor expansion of (* K n) in m 9.183 * [taylor]: Taking taylor expansion of K in m 9.183 * [backup-simplify]: Simplify K into K 9.183 * [taylor]: Taking taylor expansion of n in m 9.183 * [backup-simplify]: Simplify n into n 9.183 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 9.183 * [taylor]: Taking taylor expansion of 1/2 in m 9.183 * [backup-simplify]: Simplify 1/2 into 1/2 9.183 * [taylor]: Taking taylor expansion of (* K m) in m 9.184 * [taylor]: Taking taylor expansion of K in m 9.184 * [backup-simplify]: Simplify K into K 9.184 * [taylor]: Taking taylor expansion of m in m 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.184 * [taylor]: Taking taylor expansion of M in m 9.184 * [backup-simplify]: Simplify M into M 9.184 * [backup-simplify]: Simplify (* K n) into (* K n) 9.184 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.184 * [backup-simplify]: Simplify (* K 0) into 0 9.184 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.184 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.184 * [backup-simplify]: Simplify (- M) into (- M) 9.184 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 9.184 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 9.184 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.184 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 9.184 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 9.184 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 9.184 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 9.184 * [taylor]: Taking taylor expansion of 1/2 in m 9.184 * [backup-simplify]: Simplify 1/2 into 1/2 9.184 * [taylor]: Taking taylor expansion of (* K n) in m 9.184 * [taylor]: Taking taylor expansion of K in m 9.185 * [backup-simplify]: Simplify K into K 9.185 * [taylor]: Taking taylor expansion of n in m 9.185 * [backup-simplify]: Simplify n into n 9.185 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 9.185 * [taylor]: Taking taylor expansion of 1/2 in m 9.185 * [backup-simplify]: Simplify 1/2 into 1/2 9.185 * [taylor]: Taking taylor expansion of (* K m) in m 9.185 * [taylor]: Taking taylor expansion of K in m 9.185 * [backup-simplify]: Simplify K into K 9.185 * [taylor]: Taking taylor expansion of m in m 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [taylor]: Taking taylor expansion of M in m 9.185 * [backup-simplify]: Simplify M into M 9.185 * [backup-simplify]: Simplify (* K n) into (* K n) 9.185 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.185 * [backup-simplify]: Simplify (* K 0) into 0 9.185 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.185 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.185 * [backup-simplify]: Simplify (- M) into (- M) 9.185 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 9.185 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 9.185 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.186 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 9.186 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 9.186 * [backup-simplify]: Simplify (- 0) into 0 9.186 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 9.186 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.186 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.186 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.186 * [taylor]: Taking taylor expansion of 1/2 in n 9.186 * [backup-simplify]: Simplify 1/2 into 1/2 9.186 * [taylor]: Taking taylor expansion of (* K n) in n 9.186 * [taylor]: Taking taylor expansion of K in n 9.186 * [backup-simplify]: Simplify K into K 9.186 * [taylor]: Taking taylor expansion of n in n 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [taylor]: Taking taylor expansion of M in n 9.186 * [backup-simplify]: Simplify M into M 9.186 * [backup-simplify]: Simplify (* K 0) into 0 9.187 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.187 * [backup-simplify]: Simplify (- M) into (- M) 9.187 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.187 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.187 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.187 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.187 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.187 * [backup-simplify]: Simplify (- 0) into 0 9.187 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.187 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.187 * [taylor]: Taking taylor expansion of (- M) in K 9.187 * [taylor]: Taking taylor expansion of M in K 9.187 * [backup-simplify]: Simplify M into M 9.187 * [backup-simplify]: Simplify (- M) into (- M) 9.187 * [backup-simplify]: Simplify (- M) into (- M) 9.187 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.187 * [backup-simplify]: Simplify (- M) into (- M) 9.187 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.187 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.187 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.188 * [backup-simplify]: Simplify (- 0) into 0 9.188 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.188 * [taylor]: Taking taylor expansion of (cos (- M)) in M 9.188 * [taylor]: Taking taylor expansion of (- M) in M 9.188 * [taylor]: Taking taylor expansion of M in M 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 1 into 1 9.188 * [backup-simplify]: Simplify (- 0) into 0 9.188 * [backup-simplify]: Simplify (- 1) into -1 9.188 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify (+ 0) into 0 9.189 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 9.189 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 9.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 9.190 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.190 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.190 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 9.190 * [backup-simplify]: Simplify (- 0) into 0 9.190 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.191 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 9.191 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 9.191 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 9.191 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 9.191 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 9.191 * [taylor]: Taking taylor expansion of 1/2 in n 9.191 * [backup-simplify]: Simplify 1/2 into 1/2 9.191 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 9.191 * [taylor]: Taking taylor expansion of K in n 9.191 * [backup-simplify]: Simplify K into K 9.191 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 9.191 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.191 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.191 * [taylor]: Taking taylor expansion of 1/2 in n 9.191 * [backup-simplify]: Simplify 1/2 into 1/2 9.191 * [taylor]: Taking taylor expansion of (* K n) in n 9.191 * [taylor]: Taking taylor expansion of K in n 9.191 * [backup-simplify]: Simplify K into K 9.191 * [taylor]: Taking taylor expansion of n in n 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.191 * [taylor]: Taking taylor expansion of M in n 9.191 * [backup-simplify]: Simplify M into M 9.191 * [backup-simplify]: Simplify (* K 0) into 0 9.192 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.192 * [backup-simplify]: Simplify (- M) into (- M) 9.192 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.192 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.192 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.192 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.192 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.192 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.192 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 9.192 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 9.192 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 9.192 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 9.192 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 9.192 * [taylor]: Taking taylor expansion of 1/2 in K 9.192 * [backup-simplify]: Simplify 1/2 into 1/2 9.192 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 9.192 * [taylor]: Taking taylor expansion of K in K 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 1 into 1 9.192 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.192 * [taylor]: Taking taylor expansion of (- M) in K 9.192 * [taylor]: Taking taylor expansion of M in K 9.192 * [backup-simplify]: Simplify M into M 9.192 * [backup-simplify]: Simplify (- M) into (- M) 9.192 * [backup-simplify]: Simplify (- M) into (- M) 9.192 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.192 * [backup-simplify]: Simplify (- M) into (- M) 9.193 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.193 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.193 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.193 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.193 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 9.193 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.193 * [backup-simplify]: Simplify (- 0) into 0 9.193 * [taylor]: Taking taylor expansion of 0 in M 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ 0) into 0 9.194 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.194 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.194 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.195 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 9.195 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 9.195 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 9.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 9.195 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 9.195 * [taylor]: Taking taylor expansion of 1/2 in K 9.195 * [backup-simplify]: Simplify 1/2 into 1/2 9.195 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 9.195 * [taylor]: Taking taylor expansion of K in K 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.196 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.196 * [taylor]: Taking taylor expansion of (- M) in K 9.196 * [taylor]: Taking taylor expansion of M in K 9.196 * [backup-simplify]: Simplify M into M 9.196 * [backup-simplify]: Simplify (- M) into (- M) 9.196 * [backup-simplify]: Simplify (- M) into (- M) 9.196 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.196 * [backup-simplify]: Simplify (- M) into (- M) 9.196 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.196 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.196 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.196 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.196 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 9.196 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.196 * [backup-simplify]: Simplify (- 0) into 0 9.197 * [taylor]: Taking taylor expansion of 0 in M 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (+ 0) into 0 9.197 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.197 * [backup-simplify]: Simplify (- 0) into 0 9.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.198 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 9.198 * [backup-simplify]: Simplify (- 0) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.199 * [taylor]: Taking taylor expansion of 0 in M 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify (+ 0) into 0 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.200 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 9.200 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 9.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 9.201 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.202 * [backup-simplify]: Simplify (+ 0 0) into 0 9.202 * [backup-simplify]: Simplify (- 0) into 0 9.202 * [backup-simplify]: Simplify (+ 0 0) into 0 9.203 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.203 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.203 * [backup-simplify]: Simplify (- 0) into 0 9.204 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 9.204 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 9.204 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 9.204 * [taylor]: Taking taylor expansion of 1/8 in n 9.204 * [backup-simplify]: Simplify 1/8 into 1/8 9.204 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 9.204 * [taylor]: Taking taylor expansion of (pow K 2) in n 9.204 * [taylor]: Taking taylor expansion of K in n 9.204 * [backup-simplify]: Simplify K into K 9.204 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.204 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.204 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.204 * [taylor]: Taking taylor expansion of 1/2 in n 9.204 * [backup-simplify]: Simplify 1/2 into 1/2 9.204 * [taylor]: Taking taylor expansion of (* K n) in n 9.204 * [taylor]: Taking taylor expansion of K in n 9.204 * [backup-simplify]: Simplify K into K 9.204 * [taylor]: Taking taylor expansion of n in n 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [taylor]: Taking taylor expansion of M in n 9.204 * [backup-simplify]: Simplify M into M 9.204 * [backup-simplify]: Simplify (* K 0) into 0 9.204 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.204 * [backup-simplify]: Simplify (- M) into (- M) 9.204 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.204 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.205 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.205 * [backup-simplify]: Simplify (* K K) into (pow K 2) 9.205 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.205 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.205 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 9.205 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 9.205 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.205 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 9.205 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 9.205 * [taylor]: Taking taylor expansion of 1/8 in K 9.205 * [backup-simplify]: Simplify 1/8 into 1/8 9.205 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 9.205 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.205 * [taylor]: Taking taylor expansion of K in K 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify 1 into 1 9.206 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.206 * [taylor]: Taking taylor expansion of (- M) in K 9.206 * [taylor]: Taking taylor expansion of M in K 9.206 * [backup-simplify]: Simplify M into M 9.206 * [backup-simplify]: Simplify (- M) into (- M) 9.206 * [backup-simplify]: Simplify (- M) into (- M) 9.206 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.206 * [backup-simplify]: Simplify (- M) into (- M) 9.206 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.206 * [backup-simplify]: Simplify (+ 0) into 0 9.206 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.207 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.207 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.207 * [backup-simplify]: Simplify (- 0) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.208 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 9.208 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 9.208 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 9.208 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 9.208 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 9.208 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 9.208 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 9.208 * [taylor]: Taking taylor expansion of 1/4 in K 9.208 * [backup-simplify]: Simplify 1/4 into 1/4 9.208 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 9.208 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.208 * [taylor]: Taking taylor expansion of K in K 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.208 * [taylor]: Taking taylor expansion of (- M) in K 9.208 * [taylor]: Taking taylor expansion of M in K 9.209 * [backup-simplify]: Simplify M into M 9.209 * [backup-simplify]: Simplify (- M) into (- M) 9.209 * [backup-simplify]: Simplify (- M) into (- M) 9.209 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.209 * [backup-simplify]: Simplify (- M) into (- M) 9.209 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.209 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.210 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.211 * [backup-simplify]: Simplify (- 0) into 0 9.211 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.212 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.212 * [backup-simplify]: Simplify (- 0) into 0 9.212 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.212 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 9.212 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 9.212 * [taylor]: Taking taylor expansion of 1/8 in K 9.212 * [backup-simplify]: Simplify 1/8 into 1/8 9.212 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 9.212 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.212 * [taylor]: Taking taylor expansion of K in K 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 1 into 1 9.212 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.212 * [taylor]: Taking taylor expansion of (- M) in K 9.212 * [taylor]: Taking taylor expansion of M in K 9.212 * [backup-simplify]: Simplify M into M 9.212 * [backup-simplify]: Simplify (- M) into (- M) 9.212 * [backup-simplify]: Simplify (- M) into (- M) 9.212 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.212 * [backup-simplify]: Simplify (- M) into (- M) 9.212 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.213 * [backup-simplify]: Simplify (+ 0) into 0 9.213 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.213 * [backup-simplify]: Simplify (- 0) into 0 9.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.214 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 9.215 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 9.215 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 9.215 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 9.215 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 9.215 * [taylor]: Taking taylor expansion of 1/2 in M 9.215 * [backup-simplify]: Simplify 1/2 into 1/2 9.215 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.215 * [taylor]: Taking taylor expansion of (- M) in M 9.215 * [taylor]: Taking taylor expansion of M in M 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify 1 into 1 9.215 * [backup-simplify]: Simplify (- 0) into 0 9.216 * [backup-simplify]: Simplify (- 1) into -1 9.216 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.216 * [backup-simplify]: Simplify (- 0) into 0 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify (+ 0) into 0 9.217 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.217 * [backup-simplify]: Simplify (- 0) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.218 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.218 * [backup-simplify]: Simplify (+ 0 0) into 0 9.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 9.219 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 9.219 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 9.219 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 9.219 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 9.219 * [taylor]: Taking taylor expansion of 1/2 in M 9.219 * [backup-simplify]: Simplify 1/2 into 1/2 9.219 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.219 * [taylor]: Taking taylor expansion of (- M) in M 9.219 * [taylor]: Taking taylor expansion of M in M 9.219 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (- 0) into 0 9.219 * [backup-simplify]: Simplify (- 1) into -1 9.220 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.220 * [backup-simplify]: Simplify (- 0) into 0 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.220 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 9.220 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 9.220 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 9.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.220 * [taylor]: Taking taylor expansion of 1/2 in M 9.220 * [backup-simplify]: Simplify 1/2 into 1/2 9.220 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.220 * [taylor]: Taking taylor expansion of (* m K) in M 9.220 * [taylor]: Taking taylor expansion of m in M 9.220 * [backup-simplify]: Simplify m into m 9.220 * [taylor]: Taking taylor expansion of K in M 9.220 * [backup-simplify]: Simplify K into K 9.220 * [backup-simplify]: Simplify (* m K) into (* m K) 9.220 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.220 * [taylor]: Taking taylor expansion of 1/2 in M 9.220 * [backup-simplify]: Simplify 1/2 into 1/2 9.220 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.220 * [taylor]: Taking taylor expansion of (* K n) in M 9.220 * [taylor]: Taking taylor expansion of K in M 9.220 * [backup-simplify]: Simplify K into K 9.221 * [taylor]: Taking taylor expansion of n in M 9.221 * [backup-simplify]: Simplify n into n 9.221 * [backup-simplify]: Simplify (* K n) into (* K n) 9.221 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.221 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.221 * [taylor]: Taking taylor expansion of M in M 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.221 * [backup-simplify]: Simplify (- 1) into -1 9.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.222 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.222 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 9.222 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 9.222 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.222 * [taylor]: Taking taylor expansion of 1/2 in K 9.222 * [backup-simplify]: Simplify 1/2 into 1/2 9.222 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.222 * [taylor]: Taking taylor expansion of (* m K) in K 9.222 * [taylor]: Taking taylor expansion of m in K 9.222 * [backup-simplify]: Simplify m into m 9.222 * [taylor]: Taking taylor expansion of K in K 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (* m 0) into 0 9.222 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.222 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.222 * [taylor]: Taking taylor expansion of 1/2 in K 9.222 * [backup-simplify]: Simplify 1/2 into 1/2 9.222 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.222 * [taylor]: Taking taylor expansion of (* K n) in K 9.222 * [taylor]: Taking taylor expansion of K in K 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.222 * [taylor]: Taking taylor expansion of n in K 9.222 * [backup-simplify]: Simplify n into n 9.222 * [backup-simplify]: Simplify (* 0 n) into 0 9.223 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.223 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.223 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.223 * [taylor]: Taking taylor expansion of M in K 9.223 * [backup-simplify]: Simplify M into M 9.223 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.223 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.223 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.223 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.223 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.223 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.223 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 9.223 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 9.223 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.223 * [taylor]: Taking taylor expansion of 1/2 in n 9.223 * [backup-simplify]: Simplify 1/2 into 1/2 9.223 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.223 * [taylor]: Taking taylor expansion of (* m K) in n 9.223 * [taylor]: Taking taylor expansion of m in n 9.223 * [backup-simplify]: Simplify m into m 9.223 * [taylor]: Taking taylor expansion of K in n 9.223 * [backup-simplify]: Simplify K into K 9.223 * [backup-simplify]: Simplify (* m K) into (* m K) 9.224 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.224 * [taylor]: Taking taylor expansion of 1/2 in n 9.224 * [backup-simplify]: Simplify 1/2 into 1/2 9.224 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.224 * [taylor]: Taking taylor expansion of (* K n) in n 9.224 * [taylor]: Taking taylor expansion of K in n 9.224 * [backup-simplify]: Simplify K into K 9.224 * [taylor]: Taking taylor expansion of n in n 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (* K 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.224 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.224 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.224 * [taylor]: Taking taylor expansion of M in n 9.224 * [backup-simplify]: Simplify M into M 9.224 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.224 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.224 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.224 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.224 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.224 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 9.225 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 9.225 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.225 * [taylor]: Taking taylor expansion of 1/2 in m 9.225 * [backup-simplify]: Simplify 1/2 into 1/2 9.225 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.225 * [taylor]: Taking taylor expansion of (* m K) in m 9.225 * [taylor]: Taking taylor expansion of m in m 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify 1 into 1 9.225 * [taylor]: Taking taylor expansion of K in m 9.225 * [backup-simplify]: Simplify K into K 9.225 * [backup-simplify]: Simplify (* 0 K) into 0 9.225 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.225 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.225 * [taylor]: Taking taylor expansion of 1/2 in m 9.225 * [backup-simplify]: Simplify 1/2 into 1/2 9.225 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.225 * [taylor]: Taking taylor expansion of (* K n) in m 9.225 * [taylor]: Taking taylor expansion of K in m 9.225 * [backup-simplify]: Simplify K into K 9.225 * [taylor]: Taking taylor expansion of n in m 9.225 * [backup-simplify]: Simplify n into n 9.225 * [backup-simplify]: Simplify (* K n) into (* K n) 9.225 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.225 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.225 * [taylor]: Taking taylor expansion of M in m 9.225 * [backup-simplify]: Simplify M into M 9.225 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.225 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.225 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.225 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.226 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.226 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 9.226 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 9.226 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.226 * [taylor]: Taking taylor expansion of 1/2 in m 9.226 * [backup-simplify]: Simplify 1/2 into 1/2 9.226 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.226 * [taylor]: Taking taylor expansion of (* m K) in m 9.226 * [taylor]: Taking taylor expansion of m in m 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 1 into 1 9.226 * [taylor]: Taking taylor expansion of K in m 9.226 * [backup-simplify]: Simplify K into K 9.226 * [backup-simplify]: Simplify (* 0 K) into 0 9.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.226 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.226 * [taylor]: Taking taylor expansion of 1/2 in m 9.226 * [backup-simplify]: Simplify 1/2 into 1/2 9.226 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.226 * [taylor]: Taking taylor expansion of (* K n) in m 9.226 * [taylor]: Taking taylor expansion of K in m 9.226 * [backup-simplify]: Simplify K into K 9.226 * [taylor]: Taking taylor expansion of n in m 9.226 * [backup-simplify]: Simplify n into n 9.226 * [backup-simplify]: Simplify (* K n) into (* K n) 9.226 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.226 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.227 * [taylor]: Taking taylor expansion of M in m 9.227 * [backup-simplify]: Simplify M into M 9.227 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.227 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.227 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.227 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.227 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.227 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 9.227 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 9.227 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.227 * [taylor]: Taking taylor expansion of 1/2 in n 9.227 * [backup-simplify]: Simplify 1/2 into 1/2 9.227 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.227 * [taylor]: Taking taylor expansion of (* m K) in n 9.227 * [taylor]: Taking taylor expansion of m in n 9.227 * [backup-simplify]: Simplify m into m 9.227 * [taylor]: Taking taylor expansion of K in n 9.227 * [backup-simplify]: Simplify K into K 9.227 * [backup-simplify]: Simplify (* m K) into (* m K) 9.227 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.227 * [taylor]: Taking taylor expansion of 1/2 in n 9.227 * [backup-simplify]: Simplify 1/2 into 1/2 9.227 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.227 * [taylor]: Taking taylor expansion of (* K n) in n 9.227 * [taylor]: Taking taylor expansion of K in n 9.227 * [backup-simplify]: Simplify K into K 9.227 * [taylor]: Taking taylor expansion of n in n 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [backup-simplify]: Simplify (* K 0) into 0 9.228 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.228 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.228 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.228 * [taylor]: Taking taylor expansion of M in n 9.228 * [backup-simplify]: Simplify M into M 9.228 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.228 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.228 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.228 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.228 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.228 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 9.228 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 9.228 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.228 * [taylor]: Taking taylor expansion of 1/2 in K 9.228 * [backup-simplify]: Simplify 1/2 into 1/2 9.228 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.228 * [taylor]: Taking taylor expansion of (* m K) in K 9.228 * [taylor]: Taking taylor expansion of m in K 9.228 * [backup-simplify]: Simplify m into m 9.228 * [taylor]: Taking taylor expansion of K in K 9.228 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify 1 into 1 9.228 * [backup-simplify]: Simplify (* m 0) into 0 9.229 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.229 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.229 * [taylor]: Taking taylor expansion of 1/2 in K 9.229 * [backup-simplify]: Simplify 1/2 into 1/2 9.229 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.229 * [taylor]: Taking taylor expansion of (* K n) in K 9.229 * [taylor]: Taking taylor expansion of K in K 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [taylor]: Taking taylor expansion of n in K 9.229 * [backup-simplify]: Simplify n into n 9.229 * [backup-simplify]: Simplify (* 0 n) into 0 9.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.229 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.229 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.229 * [taylor]: Taking taylor expansion of M in K 9.229 * [backup-simplify]: Simplify M into M 9.229 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.229 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.229 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.229 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.230 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.230 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.230 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 9.230 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 9.230 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.230 * [taylor]: Taking taylor expansion of 1/2 in M 9.230 * [backup-simplify]: Simplify 1/2 into 1/2 9.230 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.230 * [taylor]: Taking taylor expansion of (* m K) in M 9.230 * [taylor]: Taking taylor expansion of m in M 9.230 * [backup-simplify]: Simplify m into m 9.230 * [taylor]: Taking taylor expansion of K in M 9.230 * [backup-simplify]: Simplify K into K 9.230 * [backup-simplify]: Simplify (* m K) into (* m K) 9.230 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.230 * [taylor]: Taking taylor expansion of 1/2 in M 9.230 * [backup-simplify]: Simplify 1/2 into 1/2 9.230 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.230 * [taylor]: Taking taylor expansion of (* K n) in M 9.230 * [taylor]: Taking taylor expansion of K in M 9.230 * [backup-simplify]: Simplify K into K 9.230 * [taylor]: Taking taylor expansion of n in M 9.230 * [backup-simplify]: Simplify n into n 9.230 * [backup-simplify]: Simplify (* K n) into (* K n) 9.230 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.230 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.230 * [taylor]: Taking taylor expansion of M in M 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.231 * [backup-simplify]: Simplify (/ 1 1) into 1 9.231 * [backup-simplify]: Simplify (- 1) into -1 9.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.231 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.231 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.232 * [taylor]: Taking taylor expansion of 0 in n 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in K 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in M 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in K 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in M 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in M 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in n 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in K 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in M 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in K 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [taylor]: Taking taylor expansion of 0 in M 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [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)) 9.233 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.233 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 9.233 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.233 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.233 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.233 * [taylor]: Taking taylor expansion of M in M 9.233 * [backup-simplify]: Simplify 0 into 0 9.233 * [backup-simplify]: Simplify 1 into 1 9.233 * [backup-simplify]: Simplify (/ 1 1) into 1 9.233 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.233 * [taylor]: Taking taylor expansion of 1/2 in M 9.233 * [backup-simplify]: Simplify 1/2 into 1/2 9.233 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.233 * [taylor]: Taking taylor expansion of (* m K) in M 9.233 * [taylor]: Taking taylor expansion of m in M 9.233 * [backup-simplify]: Simplify m into m 9.233 * [taylor]: Taking taylor expansion of K in M 9.233 * [backup-simplify]: Simplify K into K 9.233 * [backup-simplify]: Simplify (* m K) into (* m K) 9.233 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.234 * [taylor]: Taking taylor expansion of 1/2 in M 9.234 * [backup-simplify]: Simplify 1/2 into 1/2 9.234 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.234 * [taylor]: Taking taylor expansion of (* K n) in M 9.234 * [taylor]: Taking taylor expansion of K in M 9.234 * [backup-simplify]: Simplify K into K 9.234 * [taylor]: Taking taylor expansion of n in M 9.234 * [backup-simplify]: Simplify n into n 9.234 * [backup-simplify]: Simplify (* K n) into (* K n) 9.234 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.234 * [backup-simplify]: Simplify (+ 1 0) into 1 9.234 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.234 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.234 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.234 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.234 * [taylor]: Taking taylor expansion of M in K 9.234 * [backup-simplify]: Simplify M into M 9.234 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.234 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.234 * [taylor]: Taking taylor expansion of 1/2 in K 9.235 * [backup-simplify]: Simplify 1/2 into 1/2 9.235 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.235 * [taylor]: Taking taylor expansion of (* m K) in K 9.235 * [taylor]: Taking taylor expansion of m in K 9.235 * [backup-simplify]: Simplify m into m 9.235 * [taylor]: Taking taylor expansion of K in K 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (* m 0) into 0 9.235 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.235 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.235 * [taylor]: Taking taylor expansion of 1/2 in K 9.235 * [backup-simplify]: Simplify 1/2 into 1/2 9.235 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.235 * [taylor]: Taking taylor expansion of (* K n) in K 9.235 * [taylor]: Taking taylor expansion of K in K 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [taylor]: Taking taylor expansion of n in K 9.235 * [backup-simplify]: Simplify n into n 9.235 * [backup-simplify]: Simplify (* 0 n) into 0 9.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.236 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.236 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.236 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.236 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.236 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.236 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.236 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.236 * [taylor]: Taking taylor expansion of M in n 9.236 * [backup-simplify]: Simplify M into M 9.236 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.236 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.236 * [taylor]: Taking taylor expansion of 1/2 in n 9.236 * [backup-simplify]: Simplify 1/2 into 1/2 9.236 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.236 * [taylor]: Taking taylor expansion of (* m K) in n 9.236 * [taylor]: Taking taylor expansion of m in n 9.236 * [backup-simplify]: Simplify m into m 9.236 * [taylor]: Taking taylor expansion of K in n 9.236 * [backup-simplify]: Simplify K into K 9.237 * [backup-simplify]: Simplify (* m K) into (* m K) 9.237 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.237 * [taylor]: Taking taylor expansion of 1/2 in n 9.237 * [backup-simplify]: Simplify 1/2 into 1/2 9.237 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.237 * [taylor]: Taking taylor expansion of (* K n) in n 9.237 * [taylor]: Taking taylor expansion of K in n 9.237 * [backup-simplify]: Simplify K into K 9.237 * [taylor]: Taking taylor expansion of n in n 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.237 * [backup-simplify]: Simplify (* K 0) into 0 9.237 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.237 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.237 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.237 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.237 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.237 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 9.238 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 9.238 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.238 * [taylor]: Taking taylor expansion of M in m 9.238 * [backup-simplify]: Simplify M into M 9.238 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.238 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.238 * [taylor]: Taking taylor expansion of 1/2 in m 9.238 * [backup-simplify]: Simplify 1/2 into 1/2 9.238 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.238 * [taylor]: Taking taylor expansion of (* m K) in m 9.238 * [taylor]: Taking taylor expansion of m in m 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify 1 into 1 9.238 * [taylor]: Taking taylor expansion of K in m 9.238 * [backup-simplify]: Simplify K into K 9.238 * [backup-simplify]: Simplify (* 0 K) into 0 9.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.238 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.238 * [taylor]: Taking taylor expansion of 1/2 in m 9.238 * [backup-simplify]: Simplify 1/2 into 1/2 9.238 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.238 * [taylor]: Taking taylor expansion of (* K n) in m 9.238 * [taylor]: Taking taylor expansion of K in m 9.238 * [backup-simplify]: Simplify K into K 9.238 * [taylor]: Taking taylor expansion of n in m 9.238 * [backup-simplify]: Simplify n into n 9.238 * [backup-simplify]: Simplify (* K n) into (* K n) 9.238 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.238 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.238 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.239 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.239 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.239 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 9.239 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 9.239 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.239 * [taylor]: Taking taylor expansion of M in m 9.239 * [backup-simplify]: Simplify M into M 9.239 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.239 * [taylor]: Taking taylor expansion of 1/2 in m 9.239 * [backup-simplify]: Simplify 1/2 into 1/2 9.239 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.239 * [taylor]: Taking taylor expansion of (* m K) in m 9.239 * [taylor]: Taking taylor expansion of m in m 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [taylor]: Taking taylor expansion of K in m 9.239 * [backup-simplify]: Simplify K into K 9.239 * [backup-simplify]: Simplify (* 0 K) into 0 9.239 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.239 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.239 * [taylor]: Taking taylor expansion of 1/2 in m 9.239 * [backup-simplify]: Simplify 1/2 into 1/2 9.239 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.239 * [taylor]: Taking taylor expansion of (* K n) in m 9.240 * [taylor]: Taking taylor expansion of K in m 9.240 * [backup-simplify]: Simplify K into K 9.240 * [taylor]: Taking taylor expansion of n in m 9.240 * [backup-simplify]: Simplify n into n 9.240 * [backup-simplify]: Simplify (* K n) into (* K n) 9.240 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.240 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.240 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.240 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.240 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.240 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.240 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.240 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.240 * [taylor]: Taking taylor expansion of M in n 9.240 * [backup-simplify]: Simplify M into M 9.240 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.240 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.240 * [taylor]: Taking taylor expansion of 1/2 in n 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.240 * [taylor]: Taking taylor expansion of (* m K) in n 9.240 * [taylor]: Taking taylor expansion of m in n 9.240 * [backup-simplify]: Simplify m into m 9.240 * [taylor]: Taking taylor expansion of K in n 9.240 * [backup-simplify]: Simplify K into K 9.240 * [backup-simplify]: Simplify (* m K) into (* m K) 9.240 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.241 * [taylor]: Taking taylor expansion of 1/2 in n 9.241 * [backup-simplify]: Simplify 1/2 into 1/2 9.241 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.241 * [taylor]: Taking taylor expansion of (* K n) in n 9.241 * [taylor]: Taking taylor expansion of K in n 9.241 * [backup-simplify]: Simplify K into K 9.241 * [taylor]: Taking taylor expansion of n in n 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [backup-simplify]: Simplify (* K 0) into 0 9.241 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.241 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.241 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.241 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.241 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.241 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.241 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.241 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.241 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.241 * [taylor]: Taking taylor expansion of M in K 9.241 * [backup-simplify]: Simplify M into M 9.242 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.242 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.242 * [taylor]: Taking taylor expansion of 1/2 in K 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.242 * [taylor]: Taking taylor expansion of (* m K) in K 9.242 * [taylor]: Taking taylor expansion of m in K 9.242 * [backup-simplify]: Simplify m into m 9.242 * [taylor]: Taking taylor expansion of K in K 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (* m 0) into 0 9.242 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.242 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.242 * [taylor]: Taking taylor expansion of 1/2 in K 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.242 * [taylor]: Taking taylor expansion of (* K n) in K 9.242 * [taylor]: Taking taylor expansion of K in K 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [taylor]: Taking taylor expansion of n in K 9.242 * [backup-simplify]: Simplify n into n 9.242 * [backup-simplify]: Simplify (* 0 n) into 0 9.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.243 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.243 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.243 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.243 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.243 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.243 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.243 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.243 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.243 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.243 * [taylor]: Taking taylor expansion of M in M 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.244 * [taylor]: Taking taylor expansion of 1/2 in M 9.244 * [backup-simplify]: Simplify 1/2 into 1/2 9.244 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.244 * [taylor]: Taking taylor expansion of (* m K) in M 9.244 * [taylor]: Taking taylor expansion of m in M 9.244 * [backup-simplify]: Simplify m into m 9.244 * [taylor]: Taking taylor expansion of K in M 9.244 * [backup-simplify]: Simplify K into K 9.244 * [backup-simplify]: Simplify (* m K) into (* m K) 9.244 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.244 * [taylor]: Taking taylor expansion of 1/2 in M 9.244 * [backup-simplify]: Simplify 1/2 into 1/2 9.244 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.244 * [taylor]: Taking taylor expansion of (* K n) in M 9.244 * [taylor]: Taking taylor expansion of K in M 9.244 * [backup-simplify]: Simplify K into K 9.244 * [taylor]: Taking taylor expansion of n in M 9.244 * [backup-simplify]: Simplify n into n 9.244 * [backup-simplify]: Simplify (* K n) into (* K n) 9.244 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.244 * [backup-simplify]: Simplify (+ 1 0) into 1 9.244 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.245 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.245 * [taylor]: Taking taylor expansion of 0 in n 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in K 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in M 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in K 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in M 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in M 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in n 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in K 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in M 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in K 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [taylor]: Taking taylor expansion of 0 in M 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 9.246 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.246 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 9.246 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 9.246 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 9.246 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 9.246 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 9.246 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 9.246 * [taylor]: Taking taylor expansion of 1/2 in M 9.246 * [backup-simplify]: Simplify 1/2 into 1/2 9.246 * [taylor]: Taking taylor expansion of (* K n) in M 9.246 * [taylor]: Taking taylor expansion of K in M 9.246 * [backup-simplify]: Simplify K into K 9.246 * [taylor]: Taking taylor expansion of n in M 9.246 * [backup-simplify]: Simplify n into n 9.246 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 9.246 * [taylor]: Taking taylor expansion of 1/2 in M 9.246 * [backup-simplify]: Simplify 1/2 into 1/2 9.246 * [taylor]: Taking taylor expansion of (* K m) in M 9.246 * [taylor]: Taking taylor expansion of K in M 9.246 * [backup-simplify]: Simplify K into K 9.246 * [taylor]: Taking taylor expansion of m in M 9.246 * [backup-simplify]: Simplify m into m 9.246 * [taylor]: Taking taylor expansion of M in M 9.246 * [backup-simplify]: Simplify 0 into 0 9.246 * [backup-simplify]: Simplify 1 into 1 9.246 * [backup-simplify]: Simplify (* K n) into (* K n) 9.246 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.246 * [backup-simplify]: Simplify (* K m) into (* K m) 9.246 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.246 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 9.247 * [backup-simplify]: Simplify (- 0) into 0 9.247 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 9.247 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.247 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 9.247 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 9.247 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 9.247 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 9.247 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 9.247 * [taylor]: Taking taylor expansion of 1/2 in K 9.247 * [backup-simplify]: Simplify 1/2 into 1/2 9.247 * [taylor]: Taking taylor expansion of (* K n) in K 9.247 * [taylor]: Taking taylor expansion of K in K 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [taylor]: Taking taylor expansion of n in K 9.247 * [backup-simplify]: Simplify n into n 9.247 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 9.247 * [taylor]: Taking taylor expansion of 1/2 in K 9.247 * [backup-simplify]: Simplify 1/2 into 1/2 9.247 * [taylor]: Taking taylor expansion of (* K m) in K 9.247 * [taylor]: Taking taylor expansion of K in K 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [taylor]: Taking taylor expansion of m in K 9.247 * [backup-simplify]: Simplify m into m 9.247 * [taylor]: Taking taylor expansion of M in K 9.247 * [backup-simplify]: Simplify M into M 9.247 * [backup-simplify]: Simplify (* 0 n) into 0 9.248 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.248 * [backup-simplify]: Simplify (* 0 m) into 0 9.248 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.248 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [backup-simplify]: Simplify (- M) into (- M) 9.249 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.249 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.249 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.249 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 9.249 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 9.249 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 9.249 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.249 * [taylor]: Taking taylor expansion of 1/2 in n 9.249 * [backup-simplify]: Simplify 1/2 into 1/2 9.249 * [taylor]: Taking taylor expansion of (* K n) in n 9.249 * [taylor]: Taking taylor expansion of K in n 9.249 * [backup-simplify]: Simplify K into K 9.249 * [taylor]: Taking taylor expansion of n in n 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.249 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 9.249 * [taylor]: Taking taylor expansion of 1/2 in n 9.249 * [backup-simplify]: Simplify 1/2 into 1/2 9.249 * [taylor]: Taking taylor expansion of (* K m) in n 9.249 * [taylor]: Taking taylor expansion of K in n 9.249 * [backup-simplify]: Simplify K into K 9.249 * [taylor]: Taking taylor expansion of m in n 9.249 * [backup-simplify]: Simplify m into m 9.249 * [taylor]: Taking taylor expansion of M in n 9.249 * [backup-simplify]: Simplify M into M 9.249 * [backup-simplify]: Simplify (* K 0) into 0 9.249 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.249 * [backup-simplify]: Simplify (* K m) into (* K m) 9.249 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.249 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 9.249 * [backup-simplify]: Simplify (- M) into (- M) 9.250 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 9.250 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 9.250 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 9.250 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 9.250 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 9.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 9.250 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 9.250 * [taylor]: Taking taylor expansion of 1/2 in m 9.250 * [backup-simplify]: Simplify 1/2 into 1/2 9.250 * [taylor]: Taking taylor expansion of (* K n) in m 9.250 * [taylor]: Taking taylor expansion of K in m 9.250 * [backup-simplify]: Simplify K into K 9.250 * [taylor]: Taking taylor expansion of n in m 9.250 * [backup-simplify]: Simplify n into n 9.250 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 9.250 * [taylor]: Taking taylor expansion of 1/2 in m 9.250 * [backup-simplify]: Simplify 1/2 into 1/2 9.250 * [taylor]: Taking taylor expansion of (* K m) in m 9.250 * [taylor]: Taking taylor expansion of K in m 9.250 * [backup-simplify]: Simplify K into K 9.250 * [taylor]: Taking taylor expansion of m in m 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [taylor]: Taking taylor expansion of M in m 9.250 * [backup-simplify]: Simplify M into M 9.250 * [backup-simplify]: Simplify (* K n) into (* K n) 9.250 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.250 * [backup-simplify]: Simplify (* K 0) into 0 9.251 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.251 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.251 * [backup-simplify]: Simplify (- M) into (- M) 9.251 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 9.251 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 9.251 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.251 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 9.251 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 9.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 9.251 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 9.251 * [taylor]: Taking taylor expansion of 1/2 in m 9.251 * [backup-simplify]: Simplify 1/2 into 1/2 9.251 * [taylor]: Taking taylor expansion of (* K n) in m 9.251 * [taylor]: Taking taylor expansion of K in m 9.251 * [backup-simplify]: Simplify K into K 9.251 * [taylor]: Taking taylor expansion of n in m 9.251 * [backup-simplify]: Simplify n into n 9.251 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 9.251 * [taylor]: Taking taylor expansion of 1/2 in m 9.251 * [backup-simplify]: Simplify 1/2 into 1/2 9.251 * [taylor]: Taking taylor expansion of (* K m) in m 9.251 * [taylor]: Taking taylor expansion of K in m 9.251 * [backup-simplify]: Simplify K into K 9.251 * [taylor]: Taking taylor expansion of m in m 9.251 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify 1 into 1 9.251 * [taylor]: Taking taylor expansion of M in m 9.251 * [backup-simplify]: Simplify M into M 9.251 * [backup-simplify]: Simplify (* K n) into (* K n) 9.251 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.251 * [backup-simplify]: Simplify (* K 0) into 0 9.252 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.252 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.252 * [backup-simplify]: Simplify (- M) into (- M) 9.252 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 9.252 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 9.252 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.252 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 9.252 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 9.253 * [backup-simplify]: Simplify (- 0) into 0 9.253 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 9.253 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.253 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.253 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.253 * [taylor]: Taking taylor expansion of 1/2 in n 9.253 * [backup-simplify]: Simplify 1/2 into 1/2 9.253 * [taylor]: Taking taylor expansion of (* K n) in n 9.253 * [taylor]: Taking taylor expansion of K in n 9.253 * [backup-simplify]: Simplify K into K 9.253 * [taylor]: Taking taylor expansion of n in n 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.253 * [taylor]: Taking taylor expansion of M in n 9.253 * [backup-simplify]: Simplify M into M 9.253 * [backup-simplify]: Simplify (* K 0) into 0 9.253 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.253 * [backup-simplify]: Simplify (- M) into (- M) 9.253 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.253 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.253 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.253 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.253 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.254 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.254 * [taylor]: Taking taylor expansion of (- M) in K 9.254 * [taylor]: Taking taylor expansion of M in K 9.254 * [backup-simplify]: Simplify M into M 9.254 * [backup-simplify]: Simplify (- M) into (- M) 9.254 * [backup-simplify]: Simplify (- M) into (- M) 9.254 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.254 * [backup-simplify]: Simplify (- M) into (- M) 9.254 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.254 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.254 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.254 * [backup-simplify]: Simplify (- 0) into 0 9.254 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.254 * [taylor]: Taking taylor expansion of (cos (- M)) in M 9.254 * [taylor]: Taking taylor expansion of (- M) in M 9.254 * [taylor]: Taking taylor expansion of M in M 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.255 * [backup-simplify]: Simplify (- 0) into 0 9.255 * [backup-simplify]: Simplify (- 1) into -1 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [backup-simplify]: Simplify (+ 0) into 0 9.256 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 9.256 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 9.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 9.256 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.257 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.257 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 9.257 * [backup-simplify]: Simplify (- 0) into 0 9.257 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.257 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 9.258 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 9.258 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 9.258 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 9.258 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 9.258 * [taylor]: Taking taylor expansion of 1/2 in n 9.258 * [backup-simplify]: Simplify 1/2 into 1/2 9.258 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 9.258 * [taylor]: Taking taylor expansion of K in n 9.258 * [backup-simplify]: Simplify K into K 9.258 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 9.258 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.258 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.258 * [taylor]: Taking taylor expansion of 1/2 in n 9.258 * [backup-simplify]: Simplify 1/2 into 1/2 9.258 * [taylor]: Taking taylor expansion of (* K n) in n 9.258 * [taylor]: Taking taylor expansion of K in n 9.258 * [backup-simplify]: Simplify K into K 9.258 * [taylor]: Taking taylor expansion of n in n 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.258 * [taylor]: Taking taylor expansion of M in n 9.258 * [backup-simplify]: Simplify M into M 9.258 * [backup-simplify]: Simplify (* K 0) into 0 9.263 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.263 * [backup-simplify]: Simplify (- M) into (- M) 9.263 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.263 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.263 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.263 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.263 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.263 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.263 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 9.263 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 9.263 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 9.263 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 9.263 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 9.263 * [taylor]: Taking taylor expansion of 1/2 in K 9.263 * [backup-simplify]: Simplify 1/2 into 1/2 9.263 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 9.263 * [taylor]: Taking taylor expansion of K in K 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.263 * [taylor]: Taking taylor expansion of (- M) in K 9.263 * [taylor]: Taking taylor expansion of M in K 9.263 * [backup-simplify]: Simplify M into M 9.263 * [backup-simplify]: Simplify (- M) into (- M) 9.263 * [backup-simplify]: Simplify (- M) into (- M) 9.264 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.264 * [backup-simplify]: Simplify (- M) into (- M) 9.264 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.264 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.264 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.264 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.264 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 9.264 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.265 * [backup-simplify]: Simplify (- 0) into 0 9.265 * [taylor]: Taking taylor expansion of 0 in M 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.265 * [backup-simplify]: Simplify (+ 0) into 0 9.265 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.266 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.266 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.266 * [backup-simplify]: Simplify (- 0) into 0 9.266 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.267 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 9.267 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 9.267 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 9.267 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 9.267 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 9.267 * [taylor]: Taking taylor expansion of 1/2 in K 9.267 * [backup-simplify]: Simplify 1/2 into 1/2 9.267 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 9.267 * [taylor]: Taking taylor expansion of K in K 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 1 into 1 9.267 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.267 * [taylor]: Taking taylor expansion of (- M) in K 9.267 * [taylor]: Taking taylor expansion of M in K 9.267 * [backup-simplify]: Simplify M into M 9.267 * [backup-simplify]: Simplify (- M) into (- M) 9.267 * [backup-simplify]: Simplify (- M) into (- M) 9.267 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.267 * [backup-simplify]: Simplify (- M) into (- M) 9.267 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.267 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.267 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.267 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.267 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 9.268 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.268 * [backup-simplify]: Simplify (- 0) into 0 9.268 * [taylor]: Taking taylor expansion of 0 in M 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (+ 0) into 0 9.268 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.269 * [backup-simplify]: Simplify (- 0) into 0 9.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.269 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 9.270 * [backup-simplify]: Simplify (- 0) into 0 9.270 * [backup-simplify]: Simplify (+ 0 0) into 0 9.270 * [taylor]: Taking taylor expansion of 0 in M 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (+ 0) into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.271 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 9.271 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 9.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 9.272 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.273 * [backup-simplify]: Simplify (+ 0 0) into 0 9.273 * [backup-simplify]: Simplify (- 0) into 0 9.273 * [backup-simplify]: Simplify (+ 0 0) into 0 9.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.274 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.275 * [backup-simplify]: Simplify (- 0) into 0 9.275 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 9.275 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 9.275 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 9.275 * [taylor]: Taking taylor expansion of 1/8 in n 9.275 * [backup-simplify]: Simplify 1/8 into 1/8 9.275 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 9.275 * [taylor]: Taking taylor expansion of (pow K 2) in n 9.275 * [taylor]: Taking taylor expansion of K in n 9.275 * [backup-simplify]: Simplify K into K 9.275 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 9.275 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.275 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.275 * [taylor]: Taking taylor expansion of 1/2 in n 9.275 * [backup-simplify]: Simplify 1/2 into 1/2 9.275 * [taylor]: Taking taylor expansion of (* K n) in n 9.275 * [taylor]: Taking taylor expansion of K in n 9.275 * [backup-simplify]: Simplify K into K 9.275 * [taylor]: Taking taylor expansion of n in n 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify 1 into 1 9.275 * [taylor]: Taking taylor expansion of M in n 9.275 * [backup-simplify]: Simplify M into M 9.275 * [backup-simplify]: Simplify (* K 0) into 0 9.275 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.275 * [backup-simplify]: Simplify (- M) into (- M) 9.276 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.276 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.276 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.276 * [backup-simplify]: Simplify (* K K) into (pow K 2) 9.276 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.276 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.276 * [backup-simplify]: Simplify (- 0) into 0 9.276 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.276 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 9.276 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 9.276 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.276 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 9.276 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 9.276 * [taylor]: Taking taylor expansion of 1/8 in K 9.276 * [backup-simplify]: Simplify 1/8 into 1/8 9.276 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 9.276 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.276 * [taylor]: Taking taylor expansion of K in K 9.276 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify 1 into 1 9.276 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.276 * [taylor]: Taking taylor expansion of (- M) in K 9.277 * [taylor]: Taking taylor expansion of M in K 9.277 * [backup-simplify]: Simplify M into M 9.277 * [backup-simplify]: Simplify (- M) into (- M) 9.277 * [backup-simplify]: Simplify (- M) into (- M) 9.277 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.277 * [backup-simplify]: Simplify (- M) into (- M) 9.277 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.277 * [backup-simplify]: Simplify (+ 0) into 0 9.277 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.278 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.278 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.278 * [backup-simplify]: Simplify (- 0) into 0 9.278 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.278 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 9.279 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 9.279 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 9.279 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 9.279 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 9.279 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 9.279 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 9.279 * [taylor]: Taking taylor expansion of 1/4 in K 9.279 * [backup-simplify]: Simplify 1/4 into 1/4 9.279 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 9.279 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.279 * [taylor]: Taking taylor expansion of K in K 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.279 * [taylor]: Taking taylor expansion of (- M) in K 9.279 * [taylor]: Taking taylor expansion of M in K 9.279 * [backup-simplify]: Simplify M into M 9.279 * [backup-simplify]: Simplify (- M) into (- M) 9.279 * [backup-simplify]: Simplify (- M) into (- M) 9.279 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.279 * [backup-simplify]: Simplify (- M) into (- M) 9.279 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.280 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.281 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.281 * [backup-simplify]: Simplify (- 0) into 0 9.282 * [backup-simplify]: Simplify (+ 0 0) into 0 9.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.282 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.283 * [backup-simplify]: Simplify (- 0) into 0 9.283 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 9.283 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 9.283 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 9.283 * [taylor]: Taking taylor expansion of 1/8 in K 9.283 * [backup-simplify]: Simplify 1/8 into 1/8 9.283 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 9.283 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.283 * [taylor]: Taking taylor expansion of K in K 9.283 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify 1 into 1 9.283 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.283 * [taylor]: Taking taylor expansion of (- M) in K 9.283 * [taylor]: Taking taylor expansion of M in K 9.283 * [backup-simplify]: Simplify M into M 9.283 * [backup-simplify]: Simplify (- M) into (- M) 9.283 * [backup-simplify]: Simplify (- M) into (- M) 9.283 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.283 * [backup-simplify]: Simplify (- M) into (- M) 9.283 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.284 * [backup-simplify]: Simplify (+ 0) into 0 9.284 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.284 * [backup-simplify]: Simplify (- 0) into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.285 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.285 * [backup-simplify]: Simplify (+ 0 0) into 0 9.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 9.286 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 9.286 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 9.286 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 9.286 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 9.286 * [taylor]: Taking taylor expansion of 1/2 in M 9.286 * [backup-simplify]: Simplify 1/2 into 1/2 9.286 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.286 * [taylor]: Taking taylor expansion of (- M) in M 9.286 * [taylor]: Taking taylor expansion of M in M 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify 1 into 1 9.286 * [backup-simplify]: Simplify (- 0) into 0 9.287 * [backup-simplify]: Simplify (- 1) into -1 9.287 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.287 * [backup-simplify]: Simplify (- 0) into 0 9.287 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify (+ 0) into 0 9.288 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.288 * [backup-simplify]: Simplify (- 0) into 0 9.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.289 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.289 * [backup-simplify]: Simplify (+ 0 0) into 0 9.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 9.289 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 9.290 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 9.290 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 9.290 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 9.290 * [taylor]: Taking taylor expansion of 1/2 in M 9.290 * [backup-simplify]: Simplify 1/2 into 1/2 9.290 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.290 * [taylor]: Taking taylor expansion of (- M) in M 9.290 * [taylor]: Taking taylor expansion of M in M 9.290 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify 1 into 1 9.290 * [backup-simplify]: Simplify (- 0) into 0 9.290 * [backup-simplify]: Simplify (- 1) into -1 9.290 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.291 * [backup-simplify]: Simplify (- 0) into 0 9.291 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify 1 into 1 9.291 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.291 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 9.291 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 9.291 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 9.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.291 * [taylor]: Taking taylor expansion of 1/2 in M 9.291 * [backup-simplify]: Simplify 1/2 into 1/2 9.291 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.291 * [taylor]: Taking taylor expansion of (* m K) in M 9.291 * [taylor]: Taking taylor expansion of m in M 9.291 * [backup-simplify]: Simplify m into m 9.291 * [taylor]: Taking taylor expansion of K in M 9.291 * [backup-simplify]: Simplify K into K 9.291 * [backup-simplify]: Simplify (* m K) into (* m K) 9.291 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.291 * [taylor]: Taking taylor expansion of 1/2 in M 9.291 * [backup-simplify]: Simplify 1/2 into 1/2 9.291 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.291 * [taylor]: Taking taylor expansion of (* K n) in M 9.291 * [taylor]: Taking taylor expansion of K in M 9.291 * [backup-simplify]: Simplify K into K 9.291 * [taylor]: Taking taylor expansion of n in M 9.291 * [backup-simplify]: Simplify n into n 9.291 * [backup-simplify]: Simplify (* K n) into (* K n) 9.292 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.292 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.292 * [taylor]: Taking taylor expansion of M in M 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify 1 into 1 9.292 * [backup-simplify]: Simplify (/ 1 1) into 1 9.292 * [backup-simplify]: Simplify (- 1) into -1 9.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.293 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.293 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 9.293 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 9.293 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.293 * [taylor]: Taking taylor expansion of 1/2 in K 9.293 * [backup-simplify]: Simplify 1/2 into 1/2 9.293 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.293 * [taylor]: Taking taylor expansion of (* m K) in K 9.293 * [taylor]: Taking taylor expansion of m in K 9.293 * [backup-simplify]: Simplify m into m 9.293 * [taylor]: Taking taylor expansion of K in K 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 1 into 1 9.293 * [backup-simplify]: Simplify (* m 0) into 0 9.293 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.293 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.293 * [taylor]: Taking taylor expansion of 1/2 in K 9.293 * [backup-simplify]: Simplify 1/2 into 1/2 9.293 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.293 * [taylor]: Taking taylor expansion of (* K n) in K 9.293 * [taylor]: Taking taylor expansion of K in K 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 1 into 1 9.293 * [taylor]: Taking taylor expansion of n in K 9.293 * [backup-simplify]: Simplify n into n 9.293 * [backup-simplify]: Simplify (* 0 n) into 0 9.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.294 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.294 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.294 * [taylor]: Taking taylor expansion of M in K 9.294 * [backup-simplify]: Simplify M into M 9.294 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.294 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.294 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.294 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.294 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.294 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.294 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 9.294 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 9.294 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.294 * [taylor]: Taking taylor expansion of 1/2 in n 9.294 * [backup-simplify]: Simplify 1/2 into 1/2 9.294 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.294 * [taylor]: Taking taylor expansion of (* m K) in n 9.294 * [taylor]: Taking taylor expansion of m in n 9.294 * [backup-simplify]: Simplify m into m 9.294 * [taylor]: Taking taylor expansion of K in n 9.294 * [backup-simplify]: Simplify K into K 9.294 * [backup-simplify]: Simplify (* m K) into (* m K) 9.294 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.294 * [taylor]: Taking taylor expansion of 1/2 in n 9.294 * [backup-simplify]: Simplify 1/2 into 1/2 9.294 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.295 * [taylor]: Taking taylor expansion of (* K n) in n 9.295 * [taylor]: Taking taylor expansion of K in n 9.295 * [backup-simplify]: Simplify K into K 9.295 * [taylor]: Taking taylor expansion of n in n 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.295 * [backup-simplify]: Simplify (* K 0) into 0 9.295 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.295 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.295 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.295 * [taylor]: Taking taylor expansion of M in n 9.295 * [backup-simplify]: Simplify M into M 9.295 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.295 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.295 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.295 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.295 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.295 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 9.295 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 9.295 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.295 * [taylor]: Taking taylor expansion of 1/2 in m 9.295 * [backup-simplify]: Simplify 1/2 into 1/2 9.295 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.295 * [taylor]: Taking taylor expansion of (* m K) in m 9.295 * [taylor]: Taking taylor expansion of m in m 9.295 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify 1 into 1 9.296 * [taylor]: Taking taylor expansion of K in m 9.296 * [backup-simplify]: Simplify K into K 9.296 * [backup-simplify]: Simplify (* 0 K) into 0 9.296 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.296 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.296 * [taylor]: Taking taylor expansion of 1/2 in m 9.296 * [backup-simplify]: Simplify 1/2 into 1/2 9.296 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.296 * [taylor]: Taking taylor expansion of (* K n) in m 9.296 * [taylor]: Taking taylor expansion of K in m 9.296 * [backup-simplify]: Simplify K into K 9.296 * [taylor]: Taking taylor expansion of n in m 9.296 * [backup-simplify]: Simplify n into n 9.296 * [backup-simplify]: Simplify (* K n) into (* K n) 9.296 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.296 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.296 * [taylor]: Taking taylor expansion of M in m 9.296 * [backup-simplify]: Simplify M into M 9.296 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.296 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.297 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.297 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.297 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.297 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 9.297 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 9.297 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.297 * [taylor]: Taking taylor expansion of 1/2 in m 9.297 * [backup-simplify]: Simplify 1/2 into 1/2 9.297 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.297 * [taylor]: Taking taylor expansion of (* m K) in m 9.297 * [taylor]: Taking taylor expansion of m in m 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.298 * [taylor]: Taking taylor expansion of K in m 9.298 * [backup-simplify]: Simplify K into K 9.298 * [backup-simplify]: Simplify (* 0 K) into 0 9.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.298 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.298 * [taylor]: Taking taylor expansion of 1/2 in m 9.298 * [backup-simplify]: Simplify 1/2 into 1/2 9.298 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.298 * [taylor]: Taking taylor expansion of (* K n) in m 9.298 * [taylor]: Taking taylor expansion of K in m 9.298 * [backup-simplify]: Simplify K into K 9.298 * [taylor]: Taking taylor expansion of n in m 9.298 * [backup-simplify]: Simplify n into n 9.299 * [backup-simplify]: Simplify (* K n) into (* K n) 9.299 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.299 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.299 * [taylor]: Taking taylor expansion of M in m 9.299 * [backup-simplify]: Simplify M into M 9.299 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.299 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.299 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.299 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.299 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.299 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 9.299 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 9.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.300 * [taylor]: Taking taylor expansion of 1/2 in n 9.300 * [backup-simplify]: Simplify 1/2 into 1/2 9.300 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.300 * [taylor]: Taking taylor expansion of (* m K) in n 9.300 * [taylor]: Taking taylor expansion of m in n 9.300 * [backup-simplify]: Simplify m into m 9.300 * [taylor]: Taking taylor expansion of K in n 9.300 * [backup-simplify]: Simplify K into K 9.300 * [backup-simplify]: Simplify (* m K) into (* m K) 9.300 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.300 * [taylor]: Taking taylor expansion of 1/2 in n 9.300 * [backup-simplify]: Simplify 1/2 into 1/2 9.300 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.300 * [taylor]: Taking taylor expansion of (* K n) in n 9.300 * [taylor]: Taking taylor expansion of K in n 9.300 * [backup-simplify]: Simplify K into K 9.300 * [taylor]: Taking taylor expansion of n in n 9.300 * [backup-simplify]: Simplify 0 into 0 9.300 * [backup-simplify]: Simplify 1 into 1 9.300 * [backup-simplify]: Simplify (* K 0) into 0 9.301 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.301 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.301 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.301 * [taylor]: Taking taylor expansion of M in n 9.301 * [backup-simplify]: Simplify M into M 9.301 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.301 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.301 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.301 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 9.301 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.301 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 9.301 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 9.301 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.302 * [taylor]: Taking taylor expansion of 1/2 in K 9.302 * [backup-simplify]: Simplify 1/2 into 1/2 9.302 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.302 * [taylor]: Taking taylor expansion of (* m K) in K 9.302 * [taylor]: Taking taylor expansion of m in K 9.302 * [backup-simplify]: Simplify m into m 9.302 * [taylor]: Taking taylor expansion of K in K 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify 1 into 1 9.302 * [backup-simplify]: Simplify (* m 0) into 0 9.302 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.302 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.302 * [taylor]: Taking taylor expansion of 1/2 in K 9.302 * [backup-simplify]: Simplify 1/2 into 1/2 9.302 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.302 * [taylor]: Taking taylor expansion of (* K n) in K 9.303 * [taylor]: Taking taylor expansion of K in K 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify 1 into 1 9.303 * [taylor]: Taking taylor expansion of n in K 9.303 * [backup-simplify]: Simplify n into n 9.303 * [backup-simplify]: Simplify (* 0 n) into 0 9.303 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.303 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.303 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.303 * [taylor]: Taking taylor expansion of M in K 9.303 * [backup-simplify]: Simplify M into M 9.303 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.303 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.303 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.304 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.304 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.304 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.304 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 9.304 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 9.304 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.304 * [taylor]: Taking taylor expansion of 1/2 in M 9.304 * [backup-simplify]: Simplify 1/2 into 1/2 9.304 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.304 * [taylor]: Taking taylor expansion of (* m K) in M 9.304 * [taylor]: Taking taylor expansion of m in M 9.304 * [backup-simplify]: Simplify m into m 9.304 * [taylor]: Taking taylor expansion of K in M 9.304 * [backup-simplify]: Simplify K into K 9.305 * [backup-simplify]: Simplify (* m K) into (* m K) 9.305 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.305 * [taylor]: Taking taylor expansion of 1/2 in M 9.305 * [backup-simplify]: Simplify 1/2 into 1/2 9.305 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.305 * [taylor]: Taking taylor expansion of (* K n) in M 9.305 * [taylor]: Taking taylor expansion of K in M 9.305 * [backup-simplify]: Simplify K into K 9.305 * [taylor]: Taking taylor expansion of n in M 9.305 * [backup-simplify]: Simplify n into n 9.305 * [backup-simplify]: Simplify (* K n) into (* K n) 9.305 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.305 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.305 * [taylor]: Taking taylor expansion of M in M 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.306 * [backup-simplify]: Simplify (/ 1 1) into 1 9.306 * [backup-simplify]: Simplify (- 1) into -1 9.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.307 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.307 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 9.307 * [taylor]: Taking taylor expansion of 0 in n 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [taylor]: Taking taylor expansion of 0 in K 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [taylor]: Taking taylor expansion of 0 in M 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in K 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in M 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in M 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in n 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in K 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in M 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in K 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [taylor]: Taking taylor expansion of 0 in M 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.309 * [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)) 9.309 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.309 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 9.309 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.309 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.309 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.309 * [taylor]: Taking taylor expansion of M in M 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ 1 1) into 1 9.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.310 * [taylor]: Taking taylor expansion of 1/2 in M 9.310 * [backup-simplify]: Simplify 1/2 into 1/2 9.310 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.310 * [taylor]: Taking taylor expansion of (* m K) in M 9.310 * [taylor]: Taking taylor expansion of m in M 9.310 * [backup-simplify]: Simplify m into m 9.310 * [taylor]: Taking taylor expansion of K in M 9.310 * [backup-simplify]: Simplify K into K 9.310 * [backup-simplify]: Simplify (* m K) into (* m K) 9.310 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.310 * [taylor]: Taking taylor expansion of 1/2 in M 9.310 * [backup-simplify]: Simplify 1/2 into 1/2 9.310 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.310 * [taylor]: Taking taylor expansion of (* K n) in M 9.311 * [taylor]: Taking taylor expansion of K in M 9.311 * [backup-simplify]: Simplify K into K 9.311 * [taylor]: Taking taylor expansion of n in M 9.311 * [backup-simplify]: Simplify n into n 9.311 * [backup-simplify]: Simplify (* K n) into (* K n) 9.311 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.311 * [backup-simplify]: Simplify (+ 1 0) into 1 9.312 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.312 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.312 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.312 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.312 * [taylor]: Taking taylor expansion of M in K 9.312 * [backup-simplify]: Simplify M into M 9.312 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.312 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.312 * [taylor]: Taking taylor expansion of 1/2 in K 9.312 * [backup-simplify]: Simplify 1/2 into 1/2 9.312 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.312 * [taylor]: Taking taylor expansion of (* m K) in K 9.312 * [taylor]: Taking taylor expansion of m in K 9.312 * [backup-simplify]: Simplify m into m 9.312 * [taylor]: Taking taylor expansion of K in K 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (* m 0) into 0 9.313 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.313 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.313 * [taylor]: Taking taylor expansion of 1/2 in K 9.313 * [backup-simplify]: Simplify 1/2 into 1/2 9.313 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.313 * [taylor]: Taking taylor expansion of (* K n) in K 9.313 * [taylor]: Taking taylor expansion of K in K 9.313 * [backup-simplify]: Simplify 0 into 0 9.313 * [backup-simplify]: Simplify 1 into 1 9.313 * [taylor]: Taking taylor expansion of n in K 9.313 * [backup-simplify]: Simplify n into n 9.313 * [backup-simplify]: Simplify (* 0 n) into 0 9.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.313 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.313 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.314 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.314 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.314 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.314 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.314 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.314 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.314 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.314 * [taylor]: Taking taylor expansion of M in n 9.314 * [backup-simplify]: Simplify M into M 9.314 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.314 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.314 * [taylor]: Taking taylor expansion of 1/2 in n 9.315 * [backup-simplify]: Simplify 1/2 into 1/2 9.315 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.315 * [taylor]: Taking taylor expansion of (* m K) in n 9.315 * [taylor]: Taking taylor expansion of m in n 9.315 * [backup-simplify]: Simplify m into m 9.315 * [taylor]: Taking taylor expansion of K in n 9.315 * [backup-simplify]: Simplify K into K 9.315 * [backup-simplify]: Simplify (* m K) into (* m K) 9.315 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.315 * [taylor]: Taking taylor expansion of 1/2 in n 9.315 * [backup-simplify]: Simplify 1/2 into 1/2 9.315 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.315 * [taylor]: Taking taylor expansion of (* K n) in n 9.315 * [taylor]: Taking taylor expansion of K in n 9.315 * [backup-simplify]: Simplify K into K 9.315 * [taylor]: Taking taylor expansion of n in n 9.315 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify 1 into 1 9.315 * [backup-simplify]: Simplify (* K 0) into 0 9.316 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.316 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.316 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.316 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.316 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.316 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.316 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 9.316 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 9.316 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.316 * [taylor]: Taking taylor expansion of M in m 9.316 * [backup-simplify]: Simplify M into M 9.316 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.316 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.317 * [taylor]: Taking taylor expansion of 1/2 in m 9.317 * [backup-simplify]: Simplify 1/2 into 1/2 9.317 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.317 * [taylor]: Taking taylor expansion of (* m K) in m 9.317 * [taylor]: Taking taylor expansion of m in m 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.317 * [taylor]: Taking taylor expansion of K in m 9.317 * [backup-simplify]: Simplify K into K 9.317 * [backup-simplify]: Simplify (* 0 K) into 0 9.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.317 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.317 * [taylor]: Taking taylor expansion of 1/2 in m 9.317 * [backup-simplify]: Simplify 1/2 into 1/2 9.317 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.317 * [taylor]: Taking taylor expansion of (* K n) in m 9.317 * [taylor]: Taking taylor expansion of K in m 9.317 * [backup-simplify]: Simplify K into K 9.318 * [taylor]: Taking taylor expansion of n in m 9.318 * [backup-simplify]: Simplify n into n 9.318 * [backup-simplify]: Simplify (* K n) into (* K n) 9.318 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.318 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.318 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.318 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.318 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.318 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 9.318 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 9.318 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.318 * [taylor]: Taking taylor expansion of M in m 9.318 * [backup-simplify]: Simplify M into M 9.318 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.318 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 9.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 9.319 * [taylor]: Taking taylor expansion of 1/2 in m 9.319 * [backup-simplify]: Simplify 1/2 into 1/2 9.319 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 9.319 * [taylor]: Taking taylor expansion of (* m K) in m 9.319 * [taylor]: Taking taylor expansion of m in m 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [taylor]: Taking taylor expansion of K in m 9.319 * [backup-simplify]: Simplify K into K 9.319 * [backup-simplify]: Simplify (* 0 K) into 0 9.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.319 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 9.319 * [taylor]: Taking taylor expansion of 1/2 in m 9.319 * [backup-simplify]: Simplify 1/2 into 1/2 9.319 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 9.319 * [taylor]: Taking taylor expansion of (* K n) in m 9.319 * [taylor]: Taking taylor expansion of K in m 9.319 * [backup-simplify]: Simplify K into K 9.320 * [taylor]: Taking taylor expansion of n in m 9.320 * [backup-simplify]: Simplify n into n 9.320 * [backup-simplify]: Simplify (* K n) into (* K n) 9.320 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.320 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.320 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.320 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.320 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.320 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 9.320 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 9.320 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.320 * [taylor]: Taking taylor expansion of M in n 9.320 * [backup-simplify]: Simplify M into M 9.321 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.321 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 9.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 9.321 * [taylor]: Taking taylor expansion of 1/2 in n 9.321 * [backup-simplify]: Simplify 1/2 into 1/2 9.321 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 9.321 * [taylor]: Taking taylor expansion of (* m K) in n 9.321 * [taylor]: Taking taylor expansion of m in n 9.321 * [backup-simplify]: Simplify m into m 9.321 * [taylor]: Taking taylor expansion of K in n 9.321 * [backup-simplify]: Simplify K into K 9.321 * [backup-simplify]: Simplify (* m K) into (* m K) 9.321 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.321 * [taylor]: Taking taylor expansion of 1/2 in n 9.321 * [backup-simplify]: Simplify 1/2 into 1/2 9.321 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.321 * [taylor]: Taking taylor expansion of (* K n) in n 9.321 * [taylor]: Taking taylor expansion of K in n 9.321 * [backup-simplify]: Simplify K into K 9.321 * [taylor]: Taking taylor expansion of n in n 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 1 into 1 9.321 * [backup-simplify]: Simplify (* K 0) into 0 9.322 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.322 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.322 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.322 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 9.322 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 9.322 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.322 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 9.322 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 9.322 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.322 * [taylor]: Taking taylor expansion of M in K 9.322 * [backup-simplify]: Simplify M into M 9.323 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 9.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 9.323 * [taylor]: Taking taylor expansion of 1/2 in K 9.323 * [backup-simplify]: Simplify 1/2 into 1/2 9.323 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 9.323 * [taylor]: Taking taylor expansion of (* m K) in K 9.323 * [taylor]: Taking taylor expansion of m in K 9.323 * [backup-simplify]: Simplify m into m 9.323 * [taylor]: Taking taylor expansion of K in K 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify 1 into 1 9.323 * [backup-simplify]: Simplify (* m 0) into 0 9.323 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.323 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.323 * [taylor]: Taking taylor expansion of 1/2 in K 9.323 * [backup-simplify]: Simplify 1/2 into 1/2 9.323 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.323 * [taylor]: Taking taylor expansion of (* K n) in K 9.324 * [taylor]: Taking taylor expansion of K in K 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 1 into 1 9.324 * [taylor]: Taking taylor expansion of n in K 9.324 * [backup-simplify]: Simplify n into n 9.324 * [backup-simplify]: Simplify (* 0 n) into 0 9.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.324 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.324 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 9.324 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.324 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.325 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 9.325 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.325 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 9.325 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 9.325 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.325 * [taylor]: Taking taylor expansion of M in M 9.325 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify 1 into 1 9.325 * [backup-simplify]: Simplify (/ 1 1) into 1 9.326 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 9.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 9.326 * [taylor]: Taking taylor expansion of 1/2 in M 9.326 * [backup-simplify]: Simplify 1/2 into 1/2 9.326 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 9.326 * [taylor]: Taking taylor expansion of (* m K) in M 9.326 * [taylor]: Taking taylor expansion of m in M 9.326 * [backup-simplify]: Simplify m into m 9.326 * [taylor]: Taking taylor expansion of K in M 9.326 * [backup-simplify]: Simplify K into K 9.326 * [backup-simplify]: Simplify (* m K) into (* m K) 9.326 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 9.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.326 * [taylor]: Taking taylor expansion of 1/2 in M 9.326 * [backup-simplify]: Simplify 1/2 into 1/2 9.326 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.326 * [taylor]: Taking taylor expansion of (* K n) in M 9.326 * [taylor]: Taking taylor expansion of K in M 9.326 * [backup-simplify]: Simplify K into K 9.326 * [taylor]: Taking taylor expansion of n in M 9.326 * [backup-simplify]: Simplify n into n 9.326 * [backup-simplify]: Simplify (* K n) into (* K n) 9.326 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.327 * [backup-simplify]: Simplify (+ 1 0) into 1 9.327 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.327 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 9.327 * [taylor]: Taking taylor expansion of 0 in n 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in K 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in M 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in K 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in M 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in M 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in n 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in K 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in M 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in K 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [taylor]: Taking taylor expansion of 0 in M 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 9.329 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 9.329 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 9.329 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 9.329 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 9.329 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 9.329 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 9.329 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 9.329 * [taylor]: Taking taylor expansion of 1/2 in M 9.329 * [backup-simplify]: Simplify 1/2 into 1/2 9.329 * [taylor]: Taking taylor expansion of m in M 9.330 * [backup-simplify]: Simplify m into m 9.330 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 9.330 * [taylor]: Taking taylor expansion of 1/2 in M 9.330 * [backup-simplify]: Simplify 1/2 into 1/2 9.330 * [taylor]: Taking taylor expansion of n in M 9.330 * [backup-simplify]: Simplify n into n 9.330 * [taylor]: Taking taylor expansion of M in M 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 1 into 1 9.330 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 9.330 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.330 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 9.330 * [backup-simplify]: Simplify (- 0) into 0 9.330 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 9.331 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 9.331 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 9.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 9.331 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 9.331 * [taylor]: Taking taylor expansion of 1/2 in n 9.331 * [backup-simplify]: Simplify 1/2 into 1/2 9.331 * [taylor]: Taking taylor expansion of m in n 9.331 * [backup-simplify]: Simplify m into m 9.331 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.331 * [taylor]: Taking taylor expansion of 1/2 in n 9.331 * [backup-simplify]: Simplify 1/2 into 1/2 9.331 * [taylor]: Taking taylor expansion of n in n 9.331 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify 1 into 1 9.331 * [taylor]: Taking taylor expansion of M in n 9.331 * [backup-simplify]: Simplify M into M 9.331 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 9.331 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.332 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 9.332 * [backup-simplify]: Simplify (- M) into (- M) 9.332 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 9.332 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 9.332 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 9.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 9.332 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 9.332 * [taylor]: Taking taylor expansion of 1/2 in m 9.332 * [backup-simplify]: Simplify 1/2 into 1/2 9.332 * [taylor]: Taking taylor expansion of m in m 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 9.332 * [taylor]: Taking taylor expansion of 1/2 in m 9.332 * [backup-simplify]: Simplify 1/2 into 1/2 9.332 * [taylor]: Taking taylor expansion of n in m 9.332 * [backup-simplify]: Simplify n into n 9.332 * [taylor]: Taking taylor expansion of M in m 9.332 * [backup-simplify]: Simplify M into M 9.333 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.333 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.333 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 9.333 * [backup-simplify]: Simplify (- M) into (- M) 9.333 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 9.333 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 9.333 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 9.333 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 9.333 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 9.333 * [taylor]: Taking taylor expansion of 1/2 in m 9.333 * [backup-simplify]: Simplify 1/2 into 1/2 9.333 * [taylor]: Taking taylor expansion of m in m 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 9.333 * [taylor]: Taking taylor expansion of 1/2 in m 9.333 * [backup-simplify]: Simplify 1/2 into 1/2 9.333 * [taylor]: Taking taylor expansion of n in m 9.333 * [backup-simplify]: Simplify n into n 9.334 * [taylor]: Taking taylor expansion of M in m 9.334 * [backup-simplify]: Simplify M into M 9.334 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.334 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.334 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 9.334 * [backup-simplify]: Simplify (- M) into (- M) 9.334 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 9.335 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 9.335 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 9.335 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 9.335 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.335 * [taylor]: Taking taylor expansion of 1/2 in n 9.335 * [backup-simplify]: Simplify 1/2 into 1/2 9.335 * [taylor]: Taking taylor expansion of n in n 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.335 * [taylor]: Taking taylor expansion of M in n 9.335 * [backup-simplify]: Simplify M into M 9.335 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.335 * [backup-simplify]: Simplify (- M) into (- M) 9.335 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.336 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 9.336 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.336 * [taylor]: Taking taylor expansion of M in M 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 9.337 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.338 * [backup-simplify]: Simplify (- 0) into 0 9.338 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.338 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 9.338 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 9.338 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.338 * [taylor]: Taking taylor expansion of 1/2 in n 9.339 * [backup-simplify]: Simplify 1/2 into 1/2 9.339 * [taylor]: Taking taylor expansion of n in n 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.339 * [taylor]: Taking taylor expansion of M in n 9.339 * [backup-simplify]: Simplify M into M 9.339 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.339 * [backup-simplify]: Simplify (- M) into (- M) 9.339 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.339 * [taylor]: Taking taylor expansion of (- M) in M 9.339 * [taylor]: Taking taylor expansion of M in M 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (- 0) into 0 9.340 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.341 * [backup-simplify]: Simplify (- 0) into 0 9.341 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.341 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 9.342 * [taylor]: Taking taylor expansion of (- M) in M 9.342 * [taylor]: Taking taylor expansion of M in M 9.342 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify 1 into 1 9.342 * [backup-simplify]: Simplify (- 0) into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 9.344 * [backup-simplify]: Simplify (+ 0 0) into 0 9.345 * [backup-simplify]: Simplify (- 0) into 0 9.345 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 9.346 * [taylor]: Taking taylor expansion of 1/4 in n 9.346 * [backup-simplify]: Simplify 1/4 into 1/4 9.346 * [taylor]: Taking taylor expansion of 1/4 in M 9.346 * [backup-simplify]: Simplify 1/4 into 1/4 9.346 * [backup-simplify]: Simplify 1/4 into 1/4 9.346 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.347 * [backup-simplify]: Simplify (- 0) into 0 9.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.347 * [taylor]: Taking taylor expansion of 1/2 in M 9.347 * [backup-simplify]: Simplify 1/2 into 1/2 9.347 * [backup-simplify]: Simplify 1/2 into 1/2 9.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.349 * [backup-simplify]: Simplify (- 0) into 0 9.349 * [backup-simplify]: Simplify (+ 0 0) into 0 9.350 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 9.350 * [taylor]: Taking taylor expansion of 1/4 in M 9.350 * [backup-simplify]: Simplify 1/4 into 1/4 9.350 * [backup-simplify]: Simplify 1/4 into 1/4 9.350 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 9.351 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 9.351 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 9.351 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 9.351 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 9.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.351 * [taylor]: Taking taylor expansion of 1/2 in M 9.351 * [backup-simplify]: Simplify 1/2 into 1/2 9.351 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.351 * [taylor]: Taking taylor expansion of m in M 9.351 * [backup-simplify]: Simplify m into m 9.351 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.351 * [taylor]: Taking taylor expansion of 1/2 in M 9.351 * [backup-simplify]: Simplify 1/2 into 1/2 9.351 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.351 * [taylor]: Taking taylor expansion of n in M 9.351 * [backup-simplify]: Simplify n into n 9.351 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.351 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.351 * [taylor]: Taking taylor expansion of M in M 9.351 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify 1 into 1 9.352 * [backup-simplify]: Simplify (/ 1 1) into 1 9.352 * [backup-simplify]: Simplify (- 1) into -1 9.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.353 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 9.353 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 9.353 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.353 * [taylor]: Taking taylor expansion of 1/2 in n 9.353 * [backup-simplify]: Simplify 1/2 into 1/2 9.353 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.353 * [taylor]: Taking taylor expansion of m in n 9.353 * [backup-simplify]: Simplify m into m 9.353 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.353 * [taylor]: Taking taylor expansion of 1/2 in n 9.353 * [backup-simplify]: Simplify 1/2 into 1/2 9.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.353 * [taylor]: Taking taylor expansion of n in n 9.353 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify 1 into 1 9.354 * [backup-simplify]: Simplify (/ 1 1) into 1 9.354 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.354 * [taylor]: Taking taylor expansion of M in n 9.354 * [backup-simplify]: Simplify M into M 9.354 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.354 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.355 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.355 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.355 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 9.355 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 9.355 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.355 * [taylor]: Taking taylor expansion of 1/2 in m 9.355 * [backup-simplify]: Simplify 1/2 into 1/2 9.355 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.355 * [taylor]: Taking taylor expansion of m in m 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify 1 into 1 9.356 * [backup-simplify]: Simplify (/ 1 1) into 1 9.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.356 * [taylor]: Taking taylor expansion of 1/2 in m 9.356 * [backup-simplify]: Simplify 1/2 into 1/2 9.356 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.356 * [taylor]: Taking taylor expansion of n in m 9.356 * [backup-simplify]: Simplify n into n 9.356 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.356 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.356 * [taylor]: Taking taylor expansion of M in m 9.356 * [backup-simplify]: Simplify M into M 9.356 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.357 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.357 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.358 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 9.358 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 9.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.358 * [taylor]: Taking taylor expansion of 1/2 in m 9.358 * [backup-simplify]: Simplify 1/2 into 1/2 9.358 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.358 * [taylor]: Taking taylor expansion of m in m 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.358 * [backup-simplify]: Simplify (/ 1 1) into 1 9.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.358 * [taylor]: Taking taylor expansion of 1/2 in m 9.358 * [backup-simplify]: Simplify 1/2 into 1/2 9.358 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.358 * [taylor]: Taking taylor expansion of n in m 9.358 * [backup-simplify]: Simplify n into n 9.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.358 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.358 * [taylor]: Taking taylor expansion of M in m 9.358 * [backup-simplify]: Simplify M into M 9.359 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.359 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.359 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.360 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.360 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.360 * [taylor]: Taking taylor expansion of 1/4 in n 9.360 * [backup-simplify]: Simplify 1/4 into 1/4 9.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.362 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.362 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.362 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 9.363 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 9.363 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.363 * [taylor]: Taking taylor expansion of 1/2 in n 9.363 * [backup-simplify]: Simplify 1/2 into 1/2 9.363 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.363 * [taylor]: Taking taylor expansion of n in n 9.363 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify 1 into 1 9.363 * [backup-simplify]: Simplify (/ 1 1) into 1 9.363 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.363 * [taylor]: Taking taylor expansion of M in n 9.363 * [backup-simplify]: Simplify M into M 9.363 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.366 * [backup-simplify]: Simplify (+ 0 0) into 0 9.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.367 * [backup-simplify]: Simplify (- 0) into 0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 9.368 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 9.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.368 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.368 * [taylor]: Taking taylor expansion of (pow M 2) in n 9.368 * [taylor]: Taking taylor expansion of M in n 9.369 * [backup-simplify]: Simplify M into M 9.369 * [backup-simplify]: Simplify (* M M) into (pow M 2) 9.369 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.369 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.369 * [taylor]: Taking taylor expansion of 1/4 in n 9.369 * [backup-simplify]: Simplify 1/4 into 1/4 9.369 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.369 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.369 * [taylor]: Taking taylor expansion of n in n 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify 1 into 1 9.369 * [backup-simplify]: Simplify (* 1 1) into 1 9.370 * [backup-simplify]: Simplify (/ 1 1) into 1 9.370 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.370 * [taylor]: Taking taylor expansion of (* M n) in n 9.370 * [taylor]: Taking taylor expansion of M in n 9.370 * [backup-simplify]: Simplify M into M 9.370 * [taylor]: Taking taylor expansion of n in n 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 1 into 1 9.370 * [backup-simplify]: Simplify (* M 0) into 0 9.370 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.370 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.371 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.371 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.372 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.372 * [taylor]: Taking taylor expansion of 1/4 in M 9.372 * [backup-simplify]: Simplify 1/4 into 1/4 9.372 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.373 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.373 * [taylor]: Taking taylor expansion of 1/2 in M 9.373 * [backup-simplify]: Simplify 1/2 into 1/2 9.373 * [taylor]: Taking taylor expansion of 1/4 in M 9.373 * [backup-simplify]: Simplify 1/4 into 1/4 9.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.376 * [backup-simplify]: Simplify (+ 0 0) into 0 9.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.377 * [backup-simplify]: Simplify (- 0) into 0 9.377 * [backup-simplify]: Simplify (+ 0 0) into 0 9.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 9.378 * [taylor]: Taking taylor expansion of 0 in n 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.381 * [backup-simplify]: Simplify (+ 0 0) into 0 9.381 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.381 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.381 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.381 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.381 * [taylor]: Taking taylor expansion of M in M 9.381 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify 1 into 1 9.382 * [backup-simplify]: Simplify (/ 1 1) into 1 9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.383 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.384 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.384 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.384 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.384 * [taylor]: Taking taylor expansion of M in M 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 1 into 1 9.384 * [backup-simplify]: Simplify (/ 1 1) into 1 9.384 * [taylor]: Taking taylor expansion of 0 in M 9.384 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.388 * [backup-simplify]: Simplify (+ 0 0) into 0 9.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.389 * [backup-simplify]: Simplify (- 0) into 0 9.389 * [backup-simplify]: Simplify (+ 0 0) into 0 9.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 9.391 * [taylor]: Taking taylor expansion of 0 in n 9.391 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.394 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.399 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.400 * [backup-simplify]: Simplify (- 0) into 0 9.400 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.400 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.400 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.400 * [taylor]: Taking taylor expansion of M in M 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify 1 into 1 9.400 * [backup-simplify]: Simplify (* 1 1) into 1 9.401 * [backup-simplify]: Simplify (/ 1 1) into 1 9.401 * [backup-simplify]: Simplify 1 into 1 9.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.403 * [backup-simplify]: Simplify (- 0) into 0 9.404 * [backup-simplify]: Simplify (+ 0 0) into 0 9.404 * [taylor]: Taking taylor expansion of 0 in M 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [taylor]: Taking taylor expansion of 0 in M 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify (- 1) into -1 9.404 * [backup-simplify]: Simplify -1 into -1 9.405 * [backup-simplify]: Simplify (- 1) into -1 9.405 * [backup-simplify]: Simplify -1 into -1 9.406 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 9.406 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 9.406 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 9.406 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 9.406 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 9.406 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.406 * [taylor]: Taking taylor expansion of M in M 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 1 into 1 9.407 * [backup-simplify]: Simplify (/ 1 1) into 1 9.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.407 * [taylor]: Taking taylor expansion of 1/2 in M 9.407 * [backup-simplify]: Simplify 1/2 into 1/2 9.407 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.407 * [taylor]: Taking taylor expansion of m in M 9.407 * [backup-simplify]: Simplify m into m 9.407 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.407 * [taylor]: Taking taylor expansion of 1/2 in M 9.407 * [backup-simplify]: Simplify 1/2 into 1/2 9.407 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.407 * [taylor]: Taking taylor expansion of n in M 9.407 * [backup-simplify]: Simplify n into n 9.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.408 * [backup-simplify]: Simplify (+ 1 0) into 1 9.408 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 9.408 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 9.408 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.408 * [taylor]: Taking taylor expansion of M in n 9.408 * [backup-simplify]: Simplify M into M 9.408 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.408 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.408 * [taylor]: Taking taylor expansion of 1/2 in n 9.408 * [backup-simplify]: Simplify 1/2 into 1/2 9.408 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.408 * [taylor]: Taking taylor expansion of m in n 9.408 * [backup-simplify]: Simplify m into m 9.408 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.408 * [taylor]: Taking taylor expansion of 1/2 in n 9.408 * [backup-simplify]: Simplify 1/2 into 1/2 9.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.408 * [taylor]: Taking taylor expansion of n in n 9.408 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (/ 1 1) into 1 9.409 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.410 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.410 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.410 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.411 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 9.411 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.411 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.411 * [taylor]: Taking taylor expansion of M in m 9.411 * [backup-simplify]: Simplify M into M 9.411 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.411 * [taylor]: Taking taylor expansion of 1/2 in m 9.411 * [backup-simplify]: Simplify 1/2 into 1/2 9.411 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.411 * [taylor]: Taking taylor expansion of m in m 9.411 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify 1 into 1 9.411 * [backup-simplify]: Simplify (/ 1 1) into 1 9.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.411 * [taylor]: Taking taylor expansion of 1/2 in m 9.411 * [backup-simplify]: Simplify 1/2 into 1/2 9.411 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.411 * [taylor]: Taking taylor expansion of n in m 9.412 * [backup-simplify]: Simplify n into n 9.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.412 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.412 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.413 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.413 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.413 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 9.413 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.413 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.413 * [taylor]: Taking taylor expansion of M in m 9.413 * [backup-simplify]: Simplify M into M 9.413 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.413 * [taylor]: Taking taylor expansion of 1/2 in m 9.413 * [backup-simplify]: Simplify 1/2 into 1/2 9.413 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.413 * [taylor]: Taking taylor expansion of m in m 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 1 into 1 9.413 * [backup-simplify]: Simplify (/ 1 1) into 1 9.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.413 * [taylor]: Taking taylor expansion of 1/2 in m 9.413 * [backup-simplify]: Simplify 1/2 into 1/2 9.413 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.413 * [taylor]: Taking taylor expansion of n in m 9.413 * [backup-simplify]: Simplify n into n 9.413 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.414 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.414 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.414 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.415 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.415 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 9.415 * [taylor]: Taking taylor expansion of 1/4 in n 9.415 * [backup-simplify]: Simplify 1/4 into 1/4 9.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.416 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.416 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.416 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 9.416 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 9.416 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 9.416 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.416 * [taylor]: Taking taylor expansion of 1/2 in n 9.416 * [backup-simplify]: Simplify 1/2 into 1/2 9.416 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.416 * [taylor]: Taking taylor expansion of n in n 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (/ 1 1) into 1 9.417 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.417 * [taylor]: Taking taylor expansion of M in n 9.417 * [backup-simplify]: Simplify M into M 9.417 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.419 * [backup-simplify]: Simplify (+ 0 0) into 0 9.419 * [backup-simplify]: Simplify (- 0) into 0 9.419 * [backup-simplify]: Simplify (+ 0 0) into 0 9.420 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 9.420 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 9.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.420 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.420 * [taylor]: Taking taylor expansion of (pow M 2) in n 9.420 * [taylor]: Taking taylor expansion of M in n 9.420 * [backup-simplify]: Simplify M into M 9.420 * [backup-simplify]: Simplify (* M M) into (pow M 2) 9.420 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.420 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.420 * [taylor]: Taking taylor expansion of 1/4 in n 9.420 * [backup-simplify]: Simplify 1/4 into 1/4 9.420 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.420 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.420 * [taylor]: Taking taylor expansion of n in n 9.420 * [backup-simplify]: Simplify 0 into 0 9.420 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify (* 1 1) into 1 9.421 * [backup-simplify]: Simplify (/ 1 1) into 1 9.421 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.421 * [taylor]: Taking taylor expansion of (* M n) in n 9.421 * [taylor]: Taking taylor expansion of M in n 9.421 * [backup-simplify]: Simplify M into M 9.421 * [taylor]: Taking taylor expansion of n in n 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify (* M 0) into 0 9.422 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.422 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.422 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.422 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.422 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.422 * [taylor]: Taking taylor expansion of 1/4 in M 9.422 * [backup-simplify]: Simplify 1/4 into 1/4 9.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.423 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.423 * [taylor]: Taking taylor expansion of 1/2 in M 9.423 * [backup-simplify]: Simplify 1/2 into 1/2 9.423 * [taylor]: Taking taylor expansion of 1/4 in M 9.423 * [backup-simplify]: Simplify 1/4 into 1/4 9.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.425 * [backup-simplify]: Simplify (+ 0 0) into 0 9.426 * [backup-simplify]: Simplify (- 0) into 0 9.426 * [backup-simplify]: Simplify (+ 0 0) into 0 9.427 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 9.427 * [taylor]: Taking taylor expansion of 0 in n 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.428 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.428 * [backup-simplify]: Simplify (+ 0 0) into 0 9.428 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.428 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.428 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.428 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.428 * [taylor]: Taking taylor expansion of M in M 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (/ 1 1) into 1 9.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.430 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.430 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.430 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.430 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.430 * [taylor]: Taking taylor expansion of M in M 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 1 into 1 9.430 * [backup-simplify]: Simplify (/ 1 1) into 1 9.430 * [taylor]: Taking taylor expansion of 0 in M 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.433 * [backup-simplify]: Simplify (+ 0 0) into 0 9.433 * [backup-simplify]: Simplify (- 0) into 0 9.433 * [backup-simplify]: Simplify (+ 0 0) into 0 9.434 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 9.434 * [taylor]: Taking taylor expansion of 0 in n 9.435 * [backup-simplify]: Simplify 0 into 0 9.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.436 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.436 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.437 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.438 * [backup-simplify]: Simplify (- 0) into 0 9.438 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.438 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.438 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.438 * [taylor]: Taking taylor expansion of M in M 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify 1 into 1 9.438 * [backup-simplify]: Simplify (* 1 1) into 1 9.438 * [backup-simplify]: Simplify (/ 1 1) into 1 9.438 * [backup-simplify]: Simplify 1 into 1 9.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.440 * [backup-simplify]: Simplify (- 0) into 0 9.440 * [backup-simplify]: Simplify (+ 0 0) into 0 9.440 * [taylor]: Taking taylor expansion of 0 in M 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [taylor]: Taking taylor expansion of 0 in M 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify (- 1) into -1 9.441 * [backup-simplify]: Simplify -1 into -1 9.441 * [backup-simplify]: Simplify (- 1) into -1 9.441 * [backup-simplify]: Simplify -1 into -1 9.442 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 9.442 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 9.442 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 9.442 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 9.442 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 9.442 * [taylor]: Taking taylor expansion of K in K 9.442 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify 1 into 1 9.442 * [taylor]: Taking taylor expansion of (+ m n) in K 9.442 * [taylor]: Taking taylor expansion of m in K 9.442 * [backup-simplify]: Simplify m into m 9.442 * [taylor]: Taking taylor expansion of n in K 9.442 * [backup-simplify]: Simplify n into n 9.442 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 9.442 * [taylor]: Taking taylor expansion of K in n 9.442 * [backup-simplify]: Simplify K into K 9.442 * [taylor]: Taking taylor expansion of (+ m n) in n 9.442 * [taylor]: Taking taylor expansion of m in n 9.442 * [backup-simplify]: Simplify m into m 9.442 * [taylor]: Taking taylor expansion of n in n 9.442 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify 1 into 1 9.442 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 9.442 * [taylor]: Taking taylor expansion of K in m 9.442 * [backup-simplify]: Simplify K into K 9.442 * [taylor]: Taking taylor expansion of (+ m n) in m 9.442 * [taylor]: Taking taylor expansion of m in m 9.442 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify 1 into 1 9.442 * [taylor]: Taking taylor expansion of n in m 9.442 * [backup-simplify]: Simplify n into n 9.442 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 9.442 * [taylor]: Taking taylor expansion of K in m 9.442 * [backup-simplify]: Simplify K into K 9.442 * [taylor]: Taking taylor expansion of (+ m n) in m 9.442 * [taylor]: Taking taylor expansion of m in m 9.442 * [backup-simplify]: Simplify 0 into 0 9.442 * [backup-simplify]: Simplify 1 into 1 9.442 * [taylor]: Taking taylor expansion of n in m 9.442 * [backup-simplify]: Simplify n into n 9.442 * [backup-simplify]: Simplify (+ 0 n) into n 9.443 * [backup-simplify]: Simplify (* K n) into (* K n) 9.443 * [taylor]: Taking taylor expansion of (* K n) in n 9.443 * [taylor]: Taking taylor expansion of K in n 9.443 * [backup-simplify]: Simplify K into K 9.443 * [taylor]: Taking taylor expansion of n in n 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify 1 into 1 9.443 * [backup-simplify]: Simplify (* K 0) into 0 9.443 * [taylor]: Taking taylor expansion of 0 in K 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify (+ 1 0) into 1 9.443 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 9.443 * [taylor]: Taking taylor expansion of K in n 9.443 * [backup-simplify]: Simplify K into K 9.443 * [taylor]: Taking taylor expansion of K in K 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify 1 into 1 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.444 * [taylor]: Taking taylor expansion of K in K 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 1 into 1 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify (+ 0 0) into 0 9.444 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 9.444 * [taylor]: Taking taylor expansion of 0 in n 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [taylor]: Taking taylor expansion of 0 in K 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [taylor]: Taking taylor expansion of 0 in K 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.444 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 9.444 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 9.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 9.445 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 9.445 * [taylor]: Taking taylor expansion of (/ 1 m) in K 9.445 * [taylor]: Taking taylor expansion of m in K 9.445 * [backup-simplify]: Simplify m into m 9.445 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.445 * [taylor]: Taking taylor expansion of (/ 1 n) in K 9.445 * [taylor]: Taking taylor expansion of n in K 9.445 * [backup-simplify]: Simplify n into n 9.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.445 * [taylor]: Taking taylor expansion of K in K 9.445 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify 1 into 1 9.445 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 9.445 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 9.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 9.445 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 9.445 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.445 * [taylor]: Taking taylor expansion of m in n 9.445 * [backup-simplify]: Simplify m into m 9.445 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.445 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.445 * [taylor]: Taking taylor expansion of n in n 9.445 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify 1 into 1 9.445 * [backup-simplify]: Simplify (/ 1 1) into 1 9.445 * [taylor]: Taking taylor expansion of K in n 9.445 * [backup-simplify]: Simplify K into K 9.446 * [backup-simplify]: Simplify (+ 0 1) into 1 9.446 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 9.446 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 9.446 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.446 * [taylor]: Taking taylor expansion of m in m 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 1 into 1 9.446 * [backup-simplify]: Simplify (/ 1 1) into 1 9.446 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.446 * [taylor]: Taking taylor expansion of n in m 9.446 * [backup-simplify]: Simplify n into n 9.446 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.446 * [taylor]: Taking taylor expansion of K in m 9.446 * [backup-simplify]: Simplify K into K 9.446 * [backup-simplify]: Simplify (+ 1 0) into 1 9.446 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 9.446 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 9.446 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.446 * [taylor]: Taking taylor expansion of m in m 9.447 * [backup-simplify]: Simplify 0 into 0 9.447 * [backup-simplify]: Simplify 1 into 1 9.447 * [backup-simplify]: Simplify (/ 1 1) into 1 9.447 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.447 * [taylor]: Taking taylor expansion of n in m 9.447 * [backup-simplify]: Simplify n into n 9.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.447 * [taylor]: Taking taylor expansion of K in m 9.447 * [backup-simplify]: Simplify K into K 9.447 * [backup-simplify]: Simplify (+ 1 0) into 1 9.447 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.447 * [taylor]: Taking taylor expansion of (/ 1 K) in n 9.447 * [taylor]: Taking taylor expansion of K in n 9.447 * [backup-simplify]: Simplify K into K 9.447 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.448 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 9.448 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.448 * [taylor]: Taking taylor expansion of (* K n) in n 9.448 * [taylor]: Taking taylor expansion of K in n 9.448 * [backup-simplify]: Simplify K into K 9.448 * [taylor]: Taking taylor expansion of n in n 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.448 * [backup-simplify]: Simplify (* K 0) into 0 9.448 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.448 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.448 * [taylor]: Taking taylor expansion of (/ 1 K) in K 9.448 * [taylor]: Taking taylor expansion of K in K 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.449 * [backup-simplify]: Simplify (/ 1 1) into 1 9.449 * [backup-simplify]: Simplify 1 into 1 9.449 * [taylor]: Taking taylor expansion of (/ 1 K) in K 9.449 * [taylor]: Taking taylor expansion of K in K 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.449 * [backup-simplify]: Simplify (/ 1 1) into 1 9.449 * [backup-simplify]: Simplify 1 into 1 9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.450 * [backup-simplify]: Simplify (+ 0 0) into 0 9.450 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 9.450 * [taylor]: Taking taylor expansion of 0 in n 9.450 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 9.451 * [taylor]: Taking taylor expansion of 0 in K 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 9.451 * [taylor]: Taking taylor expansion of 0 in K 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.451 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.452 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.454 * [backup-simplify]: Simplify (+ 0 0) into 0 9.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.454 * [taylor]: Taking taylor expansion of 0 in n 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [taylor]: Taking taylor expansion of 0 in K 9.454 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.455 * [taylor]: Taking taylor expansion of 0 in K 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.456 * [taylor]: Taking taylor expansion of 0 in K 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 9.459 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 9.459 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 9.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 9.459 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 9.459 * [taylor]: Taking taylor expansion of (/ 1 m) in K 9.459 * [taylor]: Taking taylor expansion of m in K 9.459 * [backup-simplify]: Simplify m into m 9.459 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.459 * [taylor]: Taking taylor expansion of (/ 1 n) in K 9.459 * [taylor]: Taking taylor expansion of n in K 9.459 * [backup-simplify]: Simplify n into n 9.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.459 * [taylor]: Taking taylor expansion of K in K 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 1 into 1 9.459 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 9.459 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 9.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 9.459 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 9.459 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.459 * [taylor]: Taking taylor expansion of m in n 9.460 * [backup-simplify]: Simplify m into m 9.460 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.460 * [taylor]: Taking taylor expansion of n in n 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 1 into 1 9.460 * [backup-simplify]: Simplify (/ 1 1) into 1 9.460 * [taylor]: Taking taylor expansion of K in n 9.460 * [backup-simplify]: Simplify K into K 9.461 * [backup-simplify]: Simplify (+ 0 1) into 1 9.461 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.461 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 9.461 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 9.461 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.461 * [taylor]: Taking taylor expansion of m in m 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 1 into 1 9.461 * [backup-simplify]: Simplify (/ 1 1) into 1 9.461 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.461 * [taylor]: Taking taylor expansion of n in m 9.461 * [backup-simplify]: Simplify n into n 9.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.461 * [taylor]: Taking taylor expansion of K in m 9.462 * [backup-simplify]: Simplify K into K 9.462 * [backup-simplify]: Simplify (+ 1 0) into 1 9.462 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.462 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 9.462 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 9.462 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.462 * [taylor]: Taking taylor expansion of m in m 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (/ 1 1) into 1 9.463 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.463 * [taylor]: Taking taylor expansion of n in m 9.463 * [backup-simplify]: Simplify n into n 9.463 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.463 * [taylor]: Taking taylor expansion of K in m 9.463 * [backup-simplify]: Simplify K into K 9.463 * [backup-simplify]: Simplify (+ 1 0) into 1 9.463 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.463 * [taylor]: Taking taylor expansion of (/ 1 K) in n 9.463 * [taylor]: Taking taylor expansion of K in n 9.464 * [backup-simplify]: Simplify K into K 9.464 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.464 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 9.465 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 9.465 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.465 * [taylor]: Taking taylor expansion of (* K n) in n 9.465 * [taylor]: Taking taylor expansion of K in n 9.465 * [backup-simplify]: Simplify K into K 9.465 * [taylor]: Taking taylor expansion of n in n 9.465 * [backup-simplify]: Simplify 0 into 0 9.465 * [backup-simplify]: Simplify 1 into 1 9.465 * [backup-simplify]: Simplify (* K 0) into 0 9.465 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.465 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.465 * [taylor]: Taking taylor expansion of (/ 1 K) in K 9.466 * [taylor]: Taking taylor expansion of K in K 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [backup-simplify]: Simplify (/ 1 1) into 1 9.466 * [backup-simplify]: Simplify 1 into 1 9.466 * [taylor]: Taking taylor expansion of (/ 1 K) in K 9.466 * [taylor]: Taking taylor expansion of K in K 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.467 * [backup-simplify]: Simplify (/ 1 1) into 1 9.467 * [backup-simplify]: Simplify 1 into 1 9.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.468 * [backup-simplify]: Simplify (+ 0 0) into 0 9.468 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 9.468 * [taylor]: Taking taylor expansion of 0 in n 9.468 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 9.469 * [taylor]: Taking taylor expansion of 0 in K 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 9.469 * [taylor]: Taking taylor expansion of 0 in K 9.470 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.473 * [backup-simplify]: Simplify (+ 0 0) into 0 9.473 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.473 * [taylor]: Taking taylor expansion of 0 in n 9.473 * [backup-simplify]: Simplify 0 into 0 9.473 * [taylor]: Taking taylor expansion of 0 in K 9.473 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.474 * [taylor]: Taking taylor expansion of 0 in K 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 9.475 * [taylor]: Taking taylor expansion of 0 in K 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 0 into 0 9.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 9.477 * * * [progress]: simplifying candidates 9.477 * * * * [progress]: [ 1 / 103 ] simplifiying candidate #real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.477 * * * * [progress]: [ 2 / 103 ] simplifiying candidate #real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.477 * * * * [progress]: [ 3 / 103 ] simplifiying candidate #real (real->posit16 (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 4 / 103 ] simplifiying candidate #real (real->posit16 (pow (cos (- (/ (* (+ m n) K) 2) M)) 1))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 5 / 103 ] simplifiying candidate #real (real->posit16 (exp (log (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 6 / 103 ] simplifiying candidate #real (real->posit16 (log (exp (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 7 / 103 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 8 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 9 / 103 ] simplifiying candidate #real (real->posit16 (* (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 10 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (cos (- (/ (* (+ m n) K) 2) M))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 11 / 103 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 12 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) 1) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 13 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 14 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.478 * * * * [progress]: [ 15 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.479 * * * * [progress]: [ 16 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.479 * * * * [progress]: [ 17 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.479 * * * * [progress]: [ 18 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.479 * * * * [progress]: [ 19 / 103 ] simplifiying candidate # 9.479 * * * * [progress]: [ 20 / 103 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.479 * * * * [progress]: [ 21 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (pow (- (/ (+ m n) 2) M) (+ 1 1)))))))> 9.479 * * * * [progress]: [ 22 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1))))))> 9.479 * * * * [progress]: [ 23 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (pow (- (/ (+ m n) 2) M) 2))))))> 9.479 * * * * [progress]: [ 24 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (pow (- (/ (+ m n) 2) M) (+ 1 1)))))))> 9.479 * * * * [progress]: [ 25 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1))))))> 9.479 * * * * [progress]: [ 26 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (exp (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M)))))))))> 9.479 * * * * [progress]: [ 27 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (exp (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 9.479 * * * * [progress]: [ 28 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (log (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 9.480 * * * * [progress]: [ 29 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (cbrt (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))))))> 9.480 * * * * [progress]: [ 30 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 9.480 * * * * [progress]: [ 31 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (cbrt (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 9.480 * * * * [progress]: [ 32 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 9.480 * * * * [progress]: [ 33 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))))))))))> 9.480 * * * * [progress]: [ 34 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M))))))))> 9.480 * * * * [progress]: [ 35 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))))))))))> 9.480 * * * * [progress]: [ 36 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))))))))> 9.480 * * * * [progress]: [ 37 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.480 * * * * [progress]: [ 38 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))))))))> 9.480 * * * * [progress]: [ 39 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M)))))))))> 9.481 * * * * [progress]: [ 40 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.481 * * * * [progress]: [ 41 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.481 * * * * [progress]: [ 42 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M)))))))))> 9.481 * * * * [progress]: [ 43 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)))))))))> 9.481 * * * * [progress]: [ 44 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.481 * * * * [progress]: [ 45 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.481 * * * * [progress]: [ 46 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M)))))))))> 9.481 * * * * [progress]: [ 47 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (pow (- (/ (+ m n) 2) M) (* 2 1)))))))> 9.481 * * * * [progress]: [ 48 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M))))))))> 9.481 * * * * [progress]: [ 49 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M))))))))> 9.481 * * * * [progress]: [ 50 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M))))))))> 9.481 * * * * [progress]: [ 51 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 52 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (cbrt (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 53 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 54 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M)))))))> 9.482 * * * * [progress]: [ 55 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (- (sqrt (/ (+ m n) 2)) (sqrt M))))))))> 9.482 * * * * [progress]: [ 56 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))))))))> 9.482 * * * * [progress]: [ 57 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M)))))))> 9.482 * * * * [progress]: [ 58 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 59 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (sqrt (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 60 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 61 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 62 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M))))))))> 9.482 * * * * [progress]: [ 63 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))> 9.483 * * * * [progress]: [ 64 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))))))> 9.483 * * * * [progress]: [ 65 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 66 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))))))> 9.483 * * * * [progress]: [ 67 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (+ (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 68 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))))> 9.483 * * * * [progress]: [ 69 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 70 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (pow (* (+ m n) K) 1) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 71 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (pow (* (+ m n) K) 1) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 72 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (exp (+ (log (+ m n)) (log K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 73 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (exp (log (* (+ m n) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 74 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (log (exp (* (+ m n) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.483 * * * * [progress]: [ 75 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (cbrt (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 76 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 77 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (cbrt (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 78 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 79 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* 1 (* (+ m n) K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 80 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 81 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (+ m n) (* (cbrt K) (cbrt K))) (cbrt K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 82 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (+ m n) (sqrt K)) (sqrt K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 83 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (+ m n) 1) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.484 * * * * [progress]: [ 84 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (* (cbrt (+ m n)) (cbrt (+ m n))) (* (cbrt (+ m n)) K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 85 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (sqrt (+ m n)) (* (sqrt (+ m n)) K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 86 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* 1 (* (+ m n) K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 87 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* 1 (* (+ m n) K)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 88 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (/ (* (+ (pow m 3) (pow n 3)) K) (+ (* m m) (- (* n n) (* m n)))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 89 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (/ (* (- (* m m) (* n n)) K) (- m n)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 90 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 91 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 92 / 103 ] simplifiying candidate #real (real->posit16 1)) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 93 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 94 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.485 * * * * [progress]: [ 95 / 103 ] simplifiying candidate # 9.485 * * * * [progress]: [ 96 / 103 ] simplifiying candidate # 9.485 * * * * [progress]: [ 97 / 103 ] simplifiying candidate # 9.485 * * * * [progress]: [ 98 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))))))))> 9.485 * * * * [progress]: [ 99 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (- (pow M 2) (+ (* m M) (* M n))))))))> 9.486 * * * * [progress]: [ 100 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (- (pow M 2) (+ (* m M) (* M n))))))))> 9.486 * * * * [progress]: [ 101 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ 0 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.486 * * * * [progress]: [ 102 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (+ (* K n) (* K m)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.486 * * * * [progress]: [ 103 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (+ (* K n) (* K m)) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 9.488 * [simplify]: Simplifying: (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (log (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (exp (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (* (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (* (* (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (+ m n) K) (+ (log (+ m n)) (log K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K)) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* (+ m n) (* (cbrt K) (cbrt K))) (* (+ m n) (sqrt K)) (* (+ m n) 1) (* (cbrt (+ m n)) K) (* (sqrt (+ m n)) K) (* (+ m n) K) (* (+ m n) K) (* (+ (pow m 3) (pow n 3)) K) (* (- (* m m) (* n n)) K) (real->posit16 (* (+ m n) K)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 0 (+ (* K n) (* K m)) (+ (* K n) (* K m)) 9.491 * * [simplify]: iteration 1: (170 enodes) 9.539 * * [simplify]: iteration 2: (426 enodes) 9.690 * * [simplify]: iteration 3: (1472 enodes) 10.967 * * [simplify]: Extracting #0: cost 63 inf + 0 10.969 * * [simplify]: Extracting #1: cost 739 inf + 3 10.974 * * [simplify]: Extracting #2: cost 1638 inf + 913 10.985 * * [simplify]: Extracting #3: cost 1698 inf + 20737 11.056 * * [simplify]: Extracting #4: cost 924 inf + 200680 11.190 * * [simplify]: Extracting #5: cost 239 inf + 405579 11.373 * * [simplify]: Extracting #6: cost 8 inf + 454052 11.518 * * [simplify]: Extracting #7: cost 0 inf + 453604 11.663 * [simplify]: Simplified to: (* (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))) (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))) 2 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 2 (+ (log (- (* 1/2 (+ n m)) M)) (log (- (* 1/2 (+ n m)) M))) (+ (log (- (* 1/2 (+ n m)) M)) (log (- (* 1/2 (+ n m)) M))) (exp (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (* (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (cbrt (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (cbrt (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)))) (cbrt (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (* (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (fabs (- (* 1/2 (+ n m)) M)) (fabs (- (* 1/2 (+ n m)) M)) (* (- (/ (* (+ n m) (+ n m)) (/ 8 (+ n m))) (* M (* M M))) (- (/ (* (+ n m) (+ n m)) (/ 8 (+ n m))) (* M (* M M)))) (* (+ (* M (+ (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (* 1/2 (+ n m)))) (+ (* M (+ (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (* 1/2 (+ n m))))) (* (- (/ (* (+ n m) (+ n m)) (/ 8 (+ n m))) (* M (* M M))) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (+ (* 1/2 (+ n m)) M) (+ (* M (+ (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (* 1/2 (+ n m))))) (* (- (/ (* (+ n m) (+ n m)) (/ 8 (+ n m))) (* M (* M M))) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (+ (* 1/2 (+ n m)) M) (+ (* M (+ (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (* 1/2 (+ n m))))) (* (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (+ (* 1/2 (+ n m)) M) (+ (* 1/2 (+ n m)) M)) (* (cbrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (* (cbrt (- (* 1/2 (+ n m)) M)) (cbrt (- (* 1/2 (+ n m)) M))) (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (+ (sqrt (* 1/2 (+ n m))) (sqrt M)) (+ (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (- (sqrt (* 1/2 (+ n m))) (sqrt M)) (- (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 1 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M) 2 (* (* 1/2 (+ n m)) (- (* 1/2 (+ n m)) M)) (* (- M) (- (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (- (* 1/2 (+ n m)) M)) (* (- M) (- (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (- (* 1/2 (+ n m)) M)) (* (- M) (- (* 1/2 (+ n m)) M)) (* (* 1/2 (+ n m)) (- (* 1/2 (+ n m)) M)) (* (- M) (- (* 1/2 (+ n m)) M)) (* (* (cbrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (cbrt (- (* 1/2 (+ n m)) M))) (* (sqrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M) (* (- (* 1/2 (+ n m)) M) (+ (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (- (* 1/2 (+ n m)) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (- (* 1/2 (+ n m)) M) (* (cbrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (* (sqrt (- (* 1/2 (+ n m)) M)) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (sqrt (* 1/2 (+ n m))) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (* (- (* 1/2 (+ n m)) M) (- (/ (* (+ n m) (+ n m)) (/ 8 (+ n m))) (* M (* M M)))) (* (- (* 1/2 (+ n m)) M) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* (- (* 1/2 (+ n m)) M) (- (/ (* (+ n m) (+ n m)) (/ 8 (+ n m))) (* M (* M M)))) (* (- (* 1/2 (+ n m)) M) (* (+ (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (real->posit16 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (* K (+ m n)) (log (* K (+ m n))) (log (* K (+ m n))) (exp (* K (+ m n))) (* (* K (+ m n)) (* (* K (+ m n)) (* K (+ m n)))) (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n))) (* (* K (+ m n)) (* (* K (+ m n)) (* K (+ m n)))) (sqrt (* K (+ m n))) (sqrt (* K (+ m n))) (* (sqrt K) (sqrt (+ n m))) (* (sqrt K) (sqrt (+ n m))) (* (* (cbrt K) (cbrt K)) (+ m n)) (* (sqrt K) (+ m n)) (+ n m) (* (cbrt (+ n m)) K) (* K (sqrt (+ n m))) (* K (+ m n)) (* K (+ m n)) (* (+ (* (* n n) n) (* m (* m m))) K) (* (* (+ m n) (- m n)) K) (real->posit16 (* K (+ m n))) 1 (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M)) 1 (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (+ (* m m) (* n n)) 1/4) (* (* m n) 1/2)) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) 0 (* K (+ m n)) (* K (+ m n)) 11.689 * * * [progress]: adding candidates to table 14.833 * * [progress]: iteration 4 / 4 14.833 * * * [progress]: picking best candidate 14.848 * * * * [pick]: Picked #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 14.848 * * * [progress]: localizing error 14.943 * * * [progress]: generating rewritten candidates 14.943 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 14.966 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 1) 15.009 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 15.031 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 15.032 * * * [progress]: generating series expansions 15.032 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 15.032 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 15.032 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 15.032 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 15.032 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 15.032 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 15.032 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 15.032 * [taylor]: Taking taylor expansion of 1/2 in M 15.032 * [backup-simplify]: Simplify 1/2 into 1/2 15.032 * [taylor]: Taking taylor expansion of (* K n) in M 15.032 * [taylor]: Taking taylor expansion of K in M 15.032 * [backup-simplify]: Simplify K into K 15.032 * [taylor]: Taking taylor expansion of n in M 15.032 * [backup-simplify]: Simplify n into n 15.032 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 15.032 * [taylor]: Taking taylor expansion of 1/2 in M 15.032 * [backup-simplify]: Simplify 1/2 into 1/2 15.032 * [taylor]: Taking taylor expansion of (* K m) in M 15.032 * [taylor]: Taking taylor expansion of K in M 15.032 * [backup-simplify]: Simplify K into K 15.032 * [taylor]: Taking taylor expansion of m in M 15.032 * [backup-simplify]: Simplify m into m 15.032 * [taylor]: Taking taylor expansion of M in M 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [backup-simplify]: Simplify 1 into 1 15.032 * [backup-simplify]: Simplify (* K n) into (* K n) 15.033 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.033 * [backup-simplify]: Simplify (* K m) into (* K m) 15.033 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.033 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.033 * [backup-simplify]: Simplify (- 0) into 0 15.033 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.033 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.034 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.034 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 15.034 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 15.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 15.034 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 15.034 * [taylor]: Taking taylor expansion of 1/2 in K 15.034 * [backup-simplify]: Simplify 1/2 into 1/2 15.034 * [taylor]: Taking taylor expansion of (* K n) in K 15.034 * [taylor]: Taking taylor expansion of K in K 15.034 * [backup-simplify]: Simplify 0 into 0 15.034 * [backup-simplify]: Simplify 1 into 1 15.034 * [taylor]: Taking taylor expansion of n in K 15.034 * [backup-simplify]: Simplify n into n 15.034 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 15.034 * [taylor]: Taking taylor expansion of 1/2 in K 15.034 * [backup-simplify]: Simplify 1/2 into 1/2 15.034 * [taylor]: Taking taylor expansion of (* K m) in K 15.034 * [taylor]: Taking taylor expansion of K in K 15.034 * [backup-simplify]: Simplify 0 into 0 15.034 * [backup-simplify]: Simplify 1 into 1 15.034 * [taylor]: Taking taylor expansion of m in K 15.034 * [backup-simplify]: Simplify m into m 15.034 * [taylor]: Taking taylor expansion of M in K 15.034 * [backup-simplify]: Simplify M into M 15.034 * [backup-simplify]: Simplify (* 0 n) into 0 15.034 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.034 * [backup-simplify]: Simplify (* 0 m) into 0 15.035 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.035 * [backup-simplify]: Simplify (+ 0 0) into 0 15.035 * [backup-simplify]: Simplify (- M) into (- M) 15.035 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.035 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.035 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.035 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 15.035 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 15.035 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 15.035 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.035 * [taylor]: Taking taylor expansion of 1/2 in n 15.035 * [backup-simplify]: Simplify 1/2 into 1/2 15.035 * [taylor]: Taking taylor expansion of (* K n) in n 15.035 * [taylor]: Taking taylor expansion of K in n 15.035 * [backup-simplify]: Simplify K into K 15.035 * [taylor]: Taking taylor expansion of n in n 15.035 * [backup-simplify]: Simplify 0 into 0 15.035 * [backup-simplify]: Simplify 1 into 1 15.035 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 15.035 * [taylor]: Taking taylor expansion of 1/2 in n 15.035 * [backup-simplify]: Simplify 1/2 into 1/2 15.035 * [taylor]: Taking taylor expansion of (* K m) in n 15.035 * [taylor]: Taking taylor expansion of K in n 15.035 * [backup-simplify]: Simplify K into K 15.035 * [taylor]: Taking taylor expansion of m in n 15.035 * [backup-simplify]: Simplify m into m 15.035 * [taylor]: Taking taylor expansion of M in n 15.035 * [backup-simplify]: Simplify M into M 15.035 * [backup-simplify]: Simplify (* K 0) into 0 15.036 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.036 * [backup-simplify]: Simplify (* K m) into (* K m) 15.036 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.036 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 15.036 * [backup-simplify]: Simplify (- M) into (- M) 15.036 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 15.036 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 15.036 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 15.036 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.036 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.036 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.036 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.036 * [taylor]: Taking taylor expansion of 1/2 in m 15.036 * [backup-simplify]: Simplify 1/2 into 1/2 15.036 * [taylor]: Taking taylor expansion of (* K n) in m 15.036 * [taylor]: Taking taylor expansion of K in m 15.036 * [backup-simplify]: Simplify K into K 15.036 * [taylor]: Taking taylor expansion of n in m 15.036 * [backup-simplify]: Simplify n into n 15.036 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.036 * [taylor]: Taking taylor expansion of 1/2 in m 15.036 * [backup-simplify]: Simplify 1/2 into 1/2 15.036 * [taylor]: Taking taylor expansion of (* K m) in m 15.036 * [taylor]: Taking taylor expansion of K in m 15.036 * [backup-simplify]: Simplify K into K 15.036 * [taylor]: Taking taylor expansion of m in m 15.037 * [backup-simplify]: Simplify 0 into 0 15.037 * [backup-simplify]: Simplify 1 into 1 15.037 * [taylor]: Taking taylor expansion of M in m 15.037 * [backup-simplify]: Simplify M into M 15.037 * [backup-simplify]: Simplify (* K n) into (* K n) 15.037 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.037 * [backup-simplify]: Simplify (* K 0) into 0 15.037 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.037 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.037 * [backup-simplify]: Simplify (- M) into (- M) 15.037 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.037 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.037 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.037 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.037 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.037 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.037 * [taylor]: Taking taylor expansion of 1/2 in m 15.037 * [backup-simplify]: Simplify 1/2 into 1/2 15.037 * [taylor]: Taking taylor expansion of (* K n) in m 15.037 * [taylor]: Taking taylor expansion of K in m 15.037 * [backup-simplify]: Simplify K into K 15.037 * [taylor]: Taking taylor expansion of n in m 15.037 * [backup-simplify]: Simplify n into n 15.037 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.037 * [taylor]: Taking taylor expansion of 1/2 in m 15.038 * [backup-simplify]: Simplify 1/2 into 1/2 15.038 * [taylor]: Taking taylor expansion of (* K m) in m 15.038 * [taylor]: Taking taylor expansion of K in m 15.038 * [backup-simplify]: Simplify K into K 15.038 * [taylor]: Taking taylor expansion of m in m 15.038 * [backup-simplify]: Simplify 0 into 0 15.038 * [backup-simplify]: Simplify 1 into 1 15.038 * [taylor]: Taking taylor expansion of M in m 15.038 * [backup-simplify]: Simplify M into M 15.038 * [backup-simplify]: Simplify (* K n) into (* K n) 15.038 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.038 * [backup-simplify]: Simplify (* K 0) into 0 15.038 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.038 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.038 * [backup-simplify]: Simplify (- M) into (- M) 15.038 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.038 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.038 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.038 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 15.039 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 15.039 * [backup-simplify]: Simplify (- 0) into 0 15.039 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 15.039 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.039 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.039 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.039 * [taylor]: Taking taylor expansion of 1/2 in n 15.039 * [backup-simplify]: Simplify 1/2 into 1/2 15.039 * [taylor]: Taking taylor expansion of (* K n) in n 15.039 * [taylor]: Taking taylor expansion of K in n 15.039 * [backup-simplify]: Simplify K into K 15.039 * [taylor]: Taking taylor expansion of n in n 15.039 * [backup-simplify]: Simplify 0 into 0 15.039 * [backup-simplify]: Simplify 1 into 1 15.039 * [taylor]: Taking taylor expansion of M in n 15.039 * [backup-simplify]: Simplify M into M 15.039 * [backup-simplify]: Simplify (* K 0) into 0 15.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.039 * [backup-simplify]: Simplify (- M) into (- M) 15.039 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.040 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.040 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.040 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.040 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.040 * [backup-simplify]: Simplify (- 0) into 0 15.040 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.040 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.040 * [taylor]: Taking taylor expansion of (- M) in K 15.040 * [taylor]: Taking taylor expansion of M in K 15.040 * [backup-simplify]: Simplify M into M 15.040 * [backup-simplify]: Simplify (- M) into (- M) 15.040 * [backup-simplify]: Simplify (- M) into (- M) 15.040 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.040 * [backup-simplify]: Simplify (- M) into (- M) 15.040 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.040 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.040 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.040 * [backup-simplify]: Simplify (- 0) into 0 15.041 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.041 * [taylor]: Taking taylor expansion of (cos (- M)) in M 15.041 * [taylor]: Taking taylor expansion of (- M) in M 15.041 * [taylor]: Taking taylor expansion of M in M 15.041 * [backup-simplify]: Simplify 0 into 0 15.041 * [backup-simplify]: Simplify 1 into 1 15.041 * [backup-simplify]: Simplify (- 0) into 0 15.041 * [backup-simplify]: Simplify (- 1) into -1 15.041 * [backup-simplify]: Simplify 1 into 1 15.041 * [backup-simplify]: Simplify (+ 0) into 0 15.042 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 15.042 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 15.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 15.042 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.043 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.043 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 15.043 * [backup-simplify]: Simplify (- 0) into 0 15.043 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.043 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.043 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 15.044 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.044 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.044 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 15.044 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 15.044 * [taylor]: Taking taylor expansion of 1/2 in n 15.044 * [backup-simplify]: Simplify 1/2 into 1/2 15.044 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 15.044 * [taylor]: Taking taylor expansion of K in n 15.044 * [backup-simplify]: Simplify K into K 15.044 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 15.044 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.044 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.044 * [taylor]: Taking taylor expansion of 1/2 in n 15.044 * [backup-simplify]: Simplify 1/2 into 1/2 15.044 * [taylor]: Taking taylor expansion of (* K n) in n 15.044 * [taylor]: Taking taylor expansion of K in n 15.044 * [backup-simplify]: Simplify K into K 15.044 * [taylor]: Taking taylor expansion of n in n 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify 1 into 1 15.044 * [taylor]: Taking taylor expansion of M in n 15.044 * [backup-simplify]: Simplify M into M 15.044 * [backup-simplify]: Simplify (* K 0) into 0 15.045 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.045 * [backup-simplify]: Simplify (- M) into (- M) 15.045 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.045 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.045 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.045 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.045 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.045 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.045 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 15.046 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 15.046 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.046 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.046 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.046 * [taylor]: Taking taylor expansion of 1/2 in K 15.046 * [backup-simplify]: Simplify 1/2 into 1/2 15.046 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.046 * [taylor]: Taking taylor expansion of K in K 15.046 * [backup-simplify]: Simplify 0 into 0 15.046 * [backup-simplify]: Simplify 1 into 1 15.046 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.046 * [taylor]: Taking taylor expansion of (- M) in K 15.046 * [taylor]: Taking taylor expansion of M in K 15.046 * [backup-simplify]: Simplify M into M 15.046 * [backup-simplify]: Simplify (- M) into (- M) 15.046 * [backup-simplify]: Simplify (- M) into (- M) 15.046 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.046 * [backup-simplify]: Simplify (- M) into (- M) 15.046 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.046 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.046 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.047 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.047 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.047 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.047 * [backup-simplify]: Simplify (- 0) into 0 15.047 * [taylor]: Taking taylor expansion of 0 in M 15.047 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify 0 into 0 15.048 * [backup-simplify]: Simplify (+ 0) into 0 15.048 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.049 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.049 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.050 * [backup-simplify]: Simplify (- 0) into 0 15.050 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.050 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 15.051 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.051 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 15.051 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.051 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.051 * [taylor]: Taking taylor expansion of 1/2 in K 15.051 * [backup-simplify]: Simplify 1/2 into 1/2 15.051 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.051 * [taylor]: Taking taylor expansion of K in K 15.051 * [backup-simplify]: Simplify 0 into 0 15.051 * [backup-simplify]: Simplify 1 into 1 15.051 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.051 * [taylor]: Taking taylor expansion of (- M) in K 15.051 * [taylor]: Taking taylor expansion of M in K 15.051 * [backup-simplify]: Simplify M into M 15.051 * [backup-simplify]: Simplify (- M) into (- M) 15.051 * [backup-simplify]: Simplify (- M) into (- M) 15.051 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.051 * [backup-simplify]: Simplify (- M) into (- M) 15.051 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.051 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.052 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.052 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.052 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.052 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.053 * [backup-simplify]: Simplify (- 0) into 0 15.053 * [taylor]: Taking taylor expansion of 0 in M 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify 0 into 0 15.053 * [backup-simplify]: Simplify (+ 0) into 0 15.054 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.054 * [backup-simplify]: Simplify (- 0) into 0 15.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.055 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 15.056 * [backup-simplify]: Simplify (- 0) into 0 15.056 * [backup-simplify]: Simplify (+ 0 0) into 0 15.056 * [taylor]: Taking taylor expansion of 0 in M 15.056 * [backup-simplify]: Simplify 0 into 0 15.056 * [backup-simplify]: Simplify 0 into 0 15.056 * [backup-simplify]: Simplify (+ 0) into 0 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.058 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.058 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 15.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 15.060 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.061 * [backup-simplify]: Simplify (+ 0 0) into 0 15.061 * [backup-simplify]: Simplify (- 0) into 0 15.062 * [backup-simplify]: Simplify (+ 0 0) into 0 15.063 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.063 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.063 * [backup-simplify]: Simplify (- 0) into 0 15.064 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.064 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 15.064 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 15.064 * [taylor]: Taking taylor expansion of 1/8 in n 15.064 * [backup-simplify]: Simplify 1/8 into 1/8 15.064 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 15.064 * [taylor]: Taking taylor expansion of (pow K 2) in n 15.064 * [taylor]: Taking taylor expansion of K in n 15.064 * [backup-simplify]: Simplify K into K 15.064 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.064 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.064 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.064 * [taylor]: Taking taylor expansion of 1/2 in n 15.064 * [backup-simplify]: Simplify 1/2 into 1/2 15.064 * [taylor]: Taking taylor expansion of (* K n) in n 15.064 * [taylor]: Taking taylor expansion of K in n 15.064 * [backup-simplify]: Simplify K into K 15.064 * [taylor]: Taking taylor expansion of n in n 15.064 * [backup-simplify]: Simplify 0 into 0 15.064 * [backup-simplify]: Simplify 1 into 1 15.064 * [taylor]: Taking taylor expansion of M in n 15.064 * [backup-simplify]: Simplify M into M 15.064 * [backup-simplify]: Simplify (* K 0) into 0 15.065 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.065 * [backup-simplify]: Simplify (- M) into (- M) 15.065 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.065 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.065 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.065 * [backup-simplify]: Simplify (* K K) into (pow K 2) 15.065 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.065 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.066 * [backup-simplify]: Simplify (- 0) into 0 15.066 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.066 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 15.066 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 15.066 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.066 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.066 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.066 * [taylor]: Taking taylor expansion of 1/8 in K 15.066 * [backup-simplify]: Simplify 1/8 into 1/8 15.066 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.066 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.066 * [taylor]: Taking taylor expansion of K in K 15.066 * [backup-simplify]: Simplify 0 into 0 15.066 * [backup-simplify]: Simplify 1 into 1 15.067 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.067 * [taylor]: Taking taylor expansion of (- M) in K 15.067 * [taylor]: Taking taylor expansion of M in K 15.067 * [backup-simplify]: Simplify M into M 15.067 * [backup-simplify]: Simplify (- M) into (- M) 15.067 * [backup-simplify]: Simplify (- M) into (- M) 15.067 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.067 * [backup-simplify]: Simplify (- M) into (- M) 15.067 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.067 * [backup-simplify]: Simplify (+ 0) into 0 15.068 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.068 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.069 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.069 * [backup-simplify]: Simplify (- 0) into 0 15.069 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.070 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 15.070 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 15.070 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 15.070 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 15.071 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 15.071 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 15.071 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 15.071 * [taylor]: Taking taylor expansion of 1/4 in K 15.071 * [backup-simplify]: Simplify 1/4 into 1/4 15.071 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.071 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.071 * [taylor]: Taking taylor expansion of K in K 15.071 * [backup-simplify]: Simplify 0 into 0 15.071 * [backup-simplify]: Simplify 1 into 1 15.071 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.071 * [taylor]: Taking taylor expansion of (- M) in K 15.071 * [taylor]: Taking taylor expansion of M in K 15.071 * [backup-simplify]: Simplify M into M 15.071 * [backup-simplify]: Simplify (- M) into (- M) 15.071 * [backup-simplify]: Simplify (- M) into (- M) 15.071 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.071 * [backup-simplify]: Simplify (- M) into (- M) 15.071 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.072 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.073 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.074 * [backup-simplify]: Simplify (- 0) into 0 15.074 * [backup-simplify]: Simplify (+ 0 0) into 0 15.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.076 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.076 * [backup-simplify]: Simplify (- 0) into 0 15.076 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.076 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.076 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.076 * [taylor]: Taking taylor expansion of 1/8 in K 15.076 * [backup-simplify]: Simplify 1/8 into 1/8 15.076 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.076 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.076 * [taylor]: Taking taylor expansion of K in K 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 1 into 1 15.076 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.076 * [taylor]: Taking taylor expansion of (- M) in K 15.076 * [taylor]: Taking taylor expansion of M in K 15.076 * [backup-simplify]: Simplify M into M 15.076 * [backup-simplify]: Simplify (- M) into (- M) 15.076 * [backup-simplify]: Simplify (- M) into (- M) 15.077 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.077 * [backup-simplify]: Simplify (- M) into (- M) 15.077 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.077 * [backup-simplify]: Simplify (+ 0) into 0 15.077 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.077 * [backup-simplify]: Simplify (- 0) into 0 15.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.078 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.078 * [backup-simplify]: Simplify (+ 0 0) into 0 15.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.079 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.079 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.079 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.079 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.079 * [taylor]: Taking taylor expansion of 1/2 in M 15.079 * [backup-simplify]: Simplify 1/2 into 1/2 15.079 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.079 * [taylor]: Taking taylor expansion of (- M) in M 15.079 * [taylor]: Taking taylor expansion of M in M 15.079 * [backup-simplify]: Simplify 0 into 0 15.079 * [backup-simplify]: Simplify 1 into 1 15.079 * [backup-simplify]: Simplify (- 0) into 0 15.080 * [backup-simplify]: Simplify (- 1) into -1 15.080 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.080 * [backup-simplify]: Simplify (- 0) into 0 15.080 * [backup-simplify]: Simplify 0 into 0 15.080 * [backup-simplify]: Simplify (+ 0) into 0 15.081 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.081 * [backup-simplify]: Simplify (- 0) into 0 15.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.082 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.082 * [backup-simplify]: Simplify (+ 0 0) into 0 15.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.082 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.083 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.083 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.083 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.083 * [taylor]: Taking taylor expansion of 1/2 in M 15.083 * [backup-simplify]: Simplify 1/2 into 1/2 15.083 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.083 * [taylor]: Taking taylor expansion of (- M) in M 15.083 * [taylor]: Taking taylor expansion of M in M 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 1 into 1 15.083 * [backup-simplify]: Simplify (- 0) into 0 15.083 * [backup-simplify]: Simplify (- 1) into -1 15.083 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.084 * [backup-simplify]: Simplify (- 0) into 0 15.084 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify 1 into 1 15.084 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.084 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 15.084 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.084 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.084 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.084 * [taylor]: Taking taylor expansion of 1/2 in M 15.084 * [backup-simplify]: Simplify 1/2 into 1/2 15.084 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.084 * [taylor]: Taking taylor expansion of (* m K) in M 15.084 * [taylor]: Taking taylor expansion of m in M 15.084 * [backup-simplify]: Simplify m into m 15.084 * [taylor]: Taking taylor expansion of K in M 15.084 * [backup-simplify]: Simplify K into K 15.084 * [backup-simplify]: Simplify (* m K) into (* m K) 15.084 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.084 * [taylor]: Taking taylor expansion of 1/2 in M 15.084 * [backup-simplify]: Simplify 1/2 into 1/2 15.084 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.084 * [taylor]: Taking taylor expansion of (* K n) in M 15.084 * [taylor]: Taking taylor expansion of K in M 15.084 * [backup-simplify]: Simplify K into K 15.084 * [taylor]: Taking taylor expansion of n in M 15.084 * [backup-simplify]: Simplify n into n 15.084 * [backup-simplify]: Simplify (* K n) into (* K n) 15.085 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.085 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.085 * [taylor]: Taking taylor expansion of M in M 15.085 * [backup-simplify]: Simplify 0 into 0 15.085 * [backup-simplify]: Simplify 1 into 1 15.085 * [backup-simplify]: Simplify (/ 1 1) into 1 15.085 * [backup-simplify]: Simplify (- 1) into -1 15.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.085 * [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))) 15.086 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.086 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.086 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.086 * [taylor]: Taking taylor expansion of 1/2 in K 15.086 * [backup-simplify]: Simplify 1/2 into 1/2 15.086 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.086 * [taylor]: Taking taylor expansion of (* m K) in K 15.086 * [taylor]: Taking taylor expansion of m in K 15.086 * [backup-simplify]: Simplify m into m 15.086 * [taylor]: Taking taylor expansion of K in K 15.086 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify 1 into 1 15.086 * [backup-simplify]: Simplify (* m 0) into 0 15.086 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.086 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.086 * [taylor]: Taking taylor expansion of 1/2 in K 15.086 * [backup-simplify]: Simplify 1/2 into 1/2 15.086 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.086 * [taylor]: Taking taylor expansion of (* K n) in K 15.086 * [taylor]: Taking taylor expansion of K in K 15.086 * [backup-simplify]: Simplify 0 into 0 15.086 * [backup-simplify]: Simplify 1 into 1 15.086 * [taylor]: Taking taylor expansion of n in K 15.086 * [backup-simplify]: Simplify n into n 15.086 * [backup-simplify]: Simplify (* 0 n) into 0 15.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.087 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.087 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.087 * [taylor]: Taking taylor expansion of M in K 15.087 * [backup-simplify]: Simplify M into M 15.087 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.087 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.087 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.087 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.087 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.087 * [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))) 15.087 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.087 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.087 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.087 * [taylor]: Taking taylor expansion of 1/2 in n 15.087 * [backup-simplify]: Simplify 1/2 into 1/2 15.087 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.087 * [taylor]: Taking taylor expansion of (* m K) in n 15.087 * [taylor]: Taking taylor expansion of m in n 15.087 * [backup-simplify]: Simplify m into m 15.087 * [taylor]: Taking taylor expansion of K in n 15.087 * [backup-simplify]: Simplify K into K 15.087 * [backup-simplify]: Simplify (* m K) into (* m K) 15.088 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.088 * [taylor]: Taking taylor expansion of 1/2 in n 15.088 * [backup-simplify]: Simplify 1/2 into 1/2 15.088 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.088 * [taylor]: Taking taylor expansion of (* K n) in n 15.088 * [taylor]: Taking taylor expansion of K in n 15.088 * [backup-simplify]: Simplify K into K 15.088 * [taylor]: Taking taylor expansion of n in n 15.088 * [backup-simplify]: Simplify 0 into 0 15.088 * [backup-simplify]: Simplify 1 into 1 15.088 * [backup-simplify]: Simplify (* K 0) into 0 15.088 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.088 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.088 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.088 * [taylor]: Taking taylor expansion of M in n 15.088 * [backup-simplify]: Simplify M into M 15.088 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.088 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.088 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.088 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.088 * [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))) 15.088 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.088 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.088 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.089 * [taylor]: Taking taylor expansion of 1/2 in m 15.089 * [backup-simplify]: Simplify 1/2 into 1/2 15.089 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.089 * [taylor]: Taking taylor expansion of (* m K) in m 15.089 * [taylor]: Taking taylor expansion of m in m 15.089 * [backup-simplify]: Simplify 0 into 0 15.089 * [backup-simplify]: Simplify 1 into 1 15.089 * [taylor]: Taking taylor expansion of K in m 15.089 * [backup-simplify]: Simplify K into K 15.089 * [backup-simplify]: Simplify (* 0 K) into 0 15.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.089 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.089 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.089 * [taylor]: Taking taylor expansion of 1/2 in m 15.089 * [backup-simplify]: Simplify 1/2 into 1/2 15.089 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.089 * [taylor]: Taking taylor expansion of (* K n) in m 15.089 * [taylor]: Taking taylor expansion of K in m 15.089 * [backup-simplify]: Simplify K into K 15.089 * [taylor]: Taking taylor expansion of n in m 15.089 * [backup-simplify]: Simplify n into n 15.089 * [backup-simplify]: Simplify (* K n) into (* K n) 15.089 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.089 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.089 * [taylor]: Taking taylor expansion of M in m 15.089 * [backup-simplify]: Simplify M into M 15.089 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.089 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.089 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.089 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.090 * [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))) 15.090 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.090 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.090 * [taylor]: Taking taylor expansion of 1/2 in m 15.090 * [backup-simplify]: Simplify 1/2 into 1/2 15.090 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.090 * [taylor]: Taking taylor expansion of (* m K) in m 15.090 * [taylor]: Taking taylor expansion of m in m 15.090 * [backup-simplify]: Simplify 0 into 0 15.090 * [backup-simplify]: Simplify 1 into 1 15.090 * [taylor]: Taking taylor expansion of K in m 15.090 * [backup-simplify]: Simplify K into K 15.090 * [backup-simplify]: Simplify (* 0 K) into 0 15.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.090 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.090 * [taylor]: Taking taylor expansion of 1/2 in m 15.090 * [backup-simplify]: Simplify 1/2 into 1/2 15.090 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.090 * [taylor]: Taking taylor expansion of (* K n) in m 15.090 * [taylor]: Taking taylor expansion of K in m 15.090 * [backup-simplify]: Simplify K into K 15.090 * [taylor]: Taking taylor expansion of n in m 15.090 * [backup-simplify]: Simplify n into n 15.090 * [backup-simplify]: Simplify (* K n) into (* K n) 15.090 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.090 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.090 * [taylor]: Taking taylor expansion of M in m 15.090 * [backup-simplify]: Simplify M into M 15.090 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.090 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.091 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.091 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.091 * [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))) 15.091 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.091 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.091 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.091 * [taylor]: Taking taylor expansion of 1/2 in n 15.091 * [backup-simplify]: Simplify 1/2 into 1/2 15.091 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.091 * [taylor]: Taking taylor expansion of (* m K) in n 15.091 * [taylor]: Taking taylor expansion of m in n 15.091 * [backup-simplify]: Simplify m into m 15.091 * [taylor]: Taking taylor expansion of K in n 15.091 * [backup-simplify]: Simplify K into K 15.091 * [backup-simplify]: Simplify (* m K) into (* m K) 15.091 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.091 * [taylor]: Taking taylor expansion of 1/2 in n 15.091 * [backup-simplify]: Simplify 1/2 into 1/2 15.091 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.091 * [taylor]: Taking taylor expansion of (* K n) in n 15.091 * [taylor]: Taking taylor expansion of K in n 15.091 * [backup-simplify]: Simplify K into K 15.091 * [taylor]: Taking taylor expansion of n in n 15.091 * [backup-simplify]: Simplify 0 into 0 15.091 * [backup-simplify]: Simplify 1 into 1 15.091 * [backup-simplify]: Simplify (* K 0) into 0 15.092 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.092 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.092 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.092 * [taylor]: Taking taylor expansion of M in n 15.092 * [backup-simplify]: Simplify M into M 15.092 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.092 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.092 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.092 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.092 * [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))) 15.092 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.092 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.092 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.092 * [taylor]: Taking taylor expansion of 1/2 in K 15.092 * [backup-simplify]: Simplify 1/2 into 1/2 15.092 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.092 * [taylor]: Taking taylor expansion of (* m K) in K 15.092 * [taylor]: Taking taylor expansion of m in K 15.092 * [backup-simplify]: Simplify m into m 15.092 * [taylor]: Taking taylor expansion of K in K 15.092 * [backup-simplify]: Simplify 0 into 0 15.092 * [backup-simplify]: Simplify 1 into 1 15.092 * [backup-simplify]: Simplify (* m 0) into 0 15.092 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.093 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.093 * [taylor]: Taking taylor expansion of 1/2 in K 15.093 * [backup-simplify]: Simplify 1/2 into 1/2 15.093 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.093 * [taylor]: Taking taylor expansion of (* K n) in K 15.093 * [taylor]: Taking taylor expansion of K in K 15.093 * [backup-simplify]: Simplify 0 into 0 15.093 * [backup-simplify]: Simplify 1 into 1 15.093 * [taylor]: Taking taylor expansion of n in K 15.093 * [backup-simplify]: Simplify n into n 15.093 * [backup-simplify]: Simplify (* 0 n) into 0 15.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.093 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.093 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.093 * [taylor]: Taking taylor expansion of M in K 15.093 * [backup-simplify]: Simplify M into M 15.093 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.093 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.093 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.094 * [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))) 15.094 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.094 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.094 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.094 * [taylor]: Taking taylor expansion of 1/2 in M 15.094 * [backup-simplify]: Simplify 1/2 into 1/2 15.094 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.094 * [taylor]: Taking taylor expansion of (* m K) in M 15.094 * [taylor]: Taking taylor expansion of m in M 15.094 * [backup-simplify]: Simplify m into m 15.094 * [taylor]: Taking taylor expansion of K in M 15.094 * [backup-simplify]: Simplify K into K 15.094 * [backup-simplify]: Simplify (* m K) into (* m K) 15.094 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.094 * [taylor]: Taking taylor expansion of 1/2 in M 15.094 * [backup-simplify]: Simplify 1/2 into 1/2 15.094 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.094 * [taylor]: Taking taylor expansion of (* K n) in M 15.094 * [taylor]: Taking taylor expansion of K in M 15.094 * [backup-simplify]: Simplify K into K 15.094 * [taylor]: Taking taylor expansion of n in M 15.094 * [backup-simplify]: Simplify n into n 15.094 * [backup-simplify]: Simplify (* K n) into (* K n) 15.094 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.094 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.094 * [taylor]: Taking taylor expansion of M in M 15.094 * [backup-simplify]: Simplify 0 into 0 15.094 * [backup-simplify]: Simplify 1 into 1 15.094 * [backup-simplify]: Simplify (/ 1 1) into 1 15.095 * [backup-simplify]: Simplify (- 1) into -1 15.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.095 * [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))) 15.095 * [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))) 15.095 * [taylor]: Taking taylor expansion of 0 in n 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [taylor]: Taking taylor expansion of 0 in K 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [taylor]: Taking taylor expansion of 0 in M 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [taylor]: Taking taylor expansion of 0 in K 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [taylor]: Taking taylor expansion of 0 in M 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [backup-simplify]: Simplify 0 into 0 15.095 * [taylor]: Taking taylor expansion of 0 in M 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [taylor]: Taking taylor expansion of 0 in n 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [taylor]: Taking taylor expansion of 0 in K 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [taylor]: Taking taylor expansion of 0 in M 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [taylor]: Taking taylor expansion of 0 in K 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [taylor]: Taking taylor expansion of 0 in M 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [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)) 15.096 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 15.096 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 15.096 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.096 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.096 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.096 * [taylor]: Taking taylor expansion of M in M 15.096 * [backup-simplify]: Simplify 0 into 0 15.096 * [backup-simplify]: Simplify 1 into 1 15.099 * [backup-simplify]: Simplify (/ 1 1) into 1 15.099 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.099 * [taylor]: Taking taylor expansion of 1/2 in M 15.099 * [backup-simplify]: Simplify 1/2 into 1/2 15.099 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.099 * [taylor]: Taking taylor expansion of (* m K) in M 15.099 * [taylor]: Taking taylor expansion of m in M 15.099 * [backup-simplify]: Simplify m into m 15.099 * [taylor]: Taking taylor expansion of K in M 15.099 * [backup-simplify]: Simplify K into K 15.099 * [backup-simplify]: Simplify (* m K) into (* m K) 15.099 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.099 * [taylor]: Taking taylor expansion of 1/2 in M 15.099 * [backup-simplify]: Simplify 1/2 into 1/2 15.099 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.099 * [taylor]: Taking taylor expansion of (* K n) in M 15.099 * [taylor]: Taking taylor expansion of K in M 15.099 * [backup-simplify]: Simplify K into K 15.099 * [taylor]: Taking taylor expansion of n in M 15.099 * [backup-simplify]: Simplify n into n 15.099 * [backup-simplify]: Simplify (* K n) into (* K n) 15.099 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.100 * [backup-simplify]: Simplify (+ 1 0) into 1 15.100 * [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)))))) 15.100 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.100 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.100 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.100 * [taylor]: Taking taylor expansion of M in K 15.100 * [backup-simplify]: Simplify M into M 15.100 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.100 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.100 * [taylor]: Taking taylor expansion of 1/2 in K 15.100 * [backup-simplify]: Simplify 1/2 into 1/2 15.100 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.100 * [taylor]: Taking taylor expansion of (* m K) in K 15.100 * [taylor]: Taking taylor expansion of m in K 15.100 * [backup-simplify]: Simplify m into m 15.100 * [taylor]: Taking taylor expansion of K in K 15.100 * [backup-simplify]: Simplify 0 into 0 15.100 * [backup-simplify]: Simplify 1 into 1 15.100 * [backup-simplify]: Simplify (* m 0) into 0 15.101 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.101 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.101 * [taylor]: Taking taylor expansion of 1/2 in K 15.101 * [backup-simplify]: Simplify 1/2 into 1/2 15.101 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.101 * [taylor]: Taking taylor expansion of (* K n) in K 15.101 * [taylor]: Taking taylor expansion of K in K 15.101 * [backup-simplify]: Simplify 0 into 0 15.101 * [backup-simplify]: Simplify 1 into 1 15.101 * [taylor]: Taking taylor expansion of n in K 15.101 * [backup-simplify]: Simplify n into n 15.101 * [backup-simplify]: Simplify (* 0 n) into 0 15.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.101 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.101 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.101 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.101 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.101 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.101 * [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)))))) 15.102 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.102 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.102 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.102 * [taylor]: Taking taylor expansion of M in n 15.102 * [backup-simplify]: Simplify M into M 15.102 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.102 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.102 * [taylor]: Taking taylor expansion of 1/2 in n 15.102 * [backup-simplify]: Simplify 1/2 into 1/2 15.102 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.102 * [taylor]: Taking taylor expansion of (* m K) in n 15.102 * [taylor]: Taking taylor expansion of m in n 15.102 * [backup-simplify]: Simplify m into m 15.102 * [taylor]: Taking taylor expansion of K in n 15.102 * [backup-simplify]: Simplify K into K 15.102 * [backup-simplify]: Simplify (* m K) into (* m K) 15.102 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.102 * [taylor]: Taking taylor expansion of 1/2 in n 15.102 * [backup-simplify]: Simplify 1/2 into 1/2 15.102 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.102 * [taylor]: Taking taylor expansion of (* K n) in n 15.102 * [taylor]: Taking taylor expansion of K in n 15.102 * [backup-simplify]: Simplify K into K 15.102 * [taylor]: Taking taylor expansion of n in n 15.102 * [backup-simplify]: Simplify 0 into 0 15.102 * [backup-simplify]: Simplify 1 into 1 15.102 * [backup-simplify]: Simplify (* K 0) into 0 15.102 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.102 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.102 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.102 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.103 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.103 * [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)))))) 15.103 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.103 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.103 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.103 * [taylor]: Taking taylor expansion of M in m 15.103 * [backup-simplify]: Simplify M into M 15.103 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.103 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.103 * [taylor]: Taking taylor expansion of 1/2 in m 15.103 * [backup-simplify]: Simplify 1/2 into 1/2 15.103 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.103 * [taylor]: Taking taylor expansion of (* m K) in m 15.103 * [taylor]: Taking taylor expansion of m in m 15.103 * [backup-simplify]: Simplify 0 into 0 15.103 * [backup-simplify]: Simplify 1 into 1 15.103 * [taylor]: Taking taylor expansion of K in m 15.103 * [backup-simplify]: Simplify K into K 15.103 * [backup-simplify]: Simplify (* 0 K) into 0 15.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.103 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.103 * [taylor]: Taking taylor expansion of 1/2 in m 15.103 * [backup-simplify]: Simplify 1/2 into 1/2 15.103 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.103 * [taylor]: Taking taylor expansion of (* K n) in m 15.103 * [taylor]: Taking taylor expansion of K in m 15.103 * [backup-simplify]: Simplify K into K 15.103 * [taylor]: Taking taylor expansion of n in m 15.103 * [backup-simplify]: Simplify n into n 15.104 * [backup-simplify]: Simplify (* K n) into (* K n) 15.104 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.104 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.104 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.104 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.104 * [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)))))) 15.104 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.104 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.104 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.104 * [taylor]: Taking taylor expansion of M in m 15.104 * [backup-simplify]: Simplify M into M 15.104 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.104 * [taylor]: Taking taylor expansion of 1/2 in m 15.104 * [backup-simplify]: Simplify 1/2 into 1/2 15.104 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.104 * [taylor]: Taking taylor expansion of (* m K) in m 15.104 * [taylor]: Taking taylor expansion of m in m 15.104 * [backup-simplify]: Simplify 0 into 0 15.104 * [backup-simplify]: Simplify 1 into 1 15.104 * [taylor]: Taking taylor expansion of K in m 15.104 * [backup-simplify]: Simplify K into K 15.104 * [backup-simplify]: Simplify (* 0 K) into 0 15.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.105 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.105 * [taylor]: Taking taylor expansion of 1/2 in m 15.105 * [backup-simplify]: Simplify 1/2 into 1/2 15.105 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.105 * [taylor]: Taking taylor expansion of (* K n) in m 15.105 * [taylor]: Taking taylor expansion of K in m 15.105 * [backup-simplify]: Simplify K into K 15.105 * [taylor]: Taking taylor expansion of n in m 15.105 * [backup-simplify]: Simplify n into n 15.105 * [backup-simplify]: Simplify (* K n) into (* K n) 15.105 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.105 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.105 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.105 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.106 * [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)))))) 15.106 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.106 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.106 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.106 * [taylor]: Taking taylor expansion of M in n 15.106 * [backup-simplify]: Simplify M into M 15.106 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.106 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.106 * [taylor]: Taking taylor expansion of 1/2 in n 15.106 * [backup-simplify]: Simplify 1/2 into 1/2 15.106 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.106 * [taylor]: Taking taylor expansion of (* m K) in n 15.106 * [taylor]: Taking taylor expansion of m in n 15.106 * [backup-simplify]: Simplify m into m 15.106 * [taylor]: Taking taylor expansion of K in n 15.106 * [backup-simplify]: Simplify K into K 15.106 * [backup-simplify]: Simplify (* m K) into (* m K) 15.106 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.106 * [taylor]: Taking taylor expansion of 1/2 in n 15.106 * [backup-simplify]: Simplify 1/2 into 1/2 15.106 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.107 * [taylor]: Taking taylor expansion of (* K n) in n 15.107 * [taylor]: Taking taylor expansion of K in n 15.107 * [backup-simplify]: Simplify K into K 15.107 * [taylor]: Taking taylor expansion of n in n 15.107 * [backup-simplify]: Simplify 0 into 0 15.107 * [backup-simplify]: Simplify 1 into 1 15.107 * [backup-simplify]: Simplify (* K 0) into 0 15.107 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.107 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.107 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.107 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.107 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.108 * [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)))))) 15.108 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.108 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.108 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.108 * [taylor]: Taking taylor expansion of M in K 15.108 * [backup-simplify]: Simplify M into M 15.108 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.108 * [taylor]: Taking taylor expansion of 1/2 in K 15.108 * [backup-simplify]: Simplify 1/2 into 1/2 15.108 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.108 * [taylor]: Taking taylor expansion of (* m K) in K 15.108 * [taylor]: Taking taylor expansion of m in K 15.108 * [backup-simplify]: Simplify m into m 15.108 * [taylor]: Taking taylor expansion of K in K 15.108 * [backup-simplify]: Simplify 0 into 0 15.108 * [backup-simplify]: Simplify 1 into 1 15.108 * [backup-simplify]: Simplify (* m 0) into 0 15.109 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.109 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.109 * [taylor]: Taking taylor expansion of 1/2 in K 15.109 * [backup-simplify]: Simplify 1/2 into 1/2 15.109 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.109 * [taylor]: Taking taylor expansion of (* K n) in K 15.109 * [taylor]: Taking taylor expansion of K in K 15.109 * [backup-simplify]: Simplify 0 into 0 15.109 * [backup-simplify]: Simplify 1 into 1 15.109 * [taylor]: Taking taylor expansion of n in K 15.109 * [backup-simplify]: Simplify n into n 15.109 * [backup-simplify]: Simplify (* 0 n) into 0 15.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.109 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.110 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.110 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.110 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.110 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.110 * [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)))))) 15.110 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.110 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.110 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.110 * [taylor]: Taking taylor expansion of M in M 15.110 * [backup-simplify]: Simplify 0 into 0 15.110 * [backup-simplify]: Simplify 1 into 1 15.111 * [backup-simplify]: Simplify (/ 1 1) into 1 15.111 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.111 * [taylor]: Taking taylor expansion of 1/2 in M 15.111 * [backup-simplify]: Simplify 1/2 into 1/2 15.111 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.111 * [taylor]: Taking taylor expansion of (* m K) in M 15.111 * [taylor]: Taking taylor expansion of m in M 15.111 * [backup-simplify]: Simplify m into m 15.111 * [taylor]: Taking taylor expansion of K in M 15.111 * [backup-simplify]: Simplify K into K 15.111 * [backup-simplify]: Simplify (* m K) into (* m K) 15.111 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.111 * [taylor]: Taking taylor expansion of 1/2 in M 15.111 * [backup-simplify]: Simplify 1/2 into 1/2 15.111 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.111 * [taylor]: Taking taylor expansion of (* K n) in M 15.111 * [taylor]: Taking taylor expansion of K in M 15.111 * [backup-simplify]: Simplify K into K 15.111 * [taylor]: Taking taylor expansion of n in M 15.111 * [backup-simplify]: Simplify n into n 15.111 * [backup-simplify]: Simplify (* K n) into (* K n) 15.111 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.112 * [backup-simplify]: Simplify (+ 1 0) into 1 15.112 * [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)))))) 15.112 * [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)))))) 15.113 * [taylor]: Taking taylor expansion of 0 in n 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in K 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in M 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in K 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in M 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in M 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in n 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in K 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in M 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in K 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [taylor]: Taking taylor expansion of 0 in M 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.114 * [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)) 15.114 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1 1) 15.114 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 15.114 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 15.114 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 15.114 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 15.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 15.114 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 15.114 * [taylor]: Taking taylor expansion of 1/2 in M 15.114 * [backup-simplify]: Simplify 1/2 into 1/2 15.114 * [taylor]: Taking taylor expansion of (* K n) in M 15.114 * [taylor]: Taking taylor expansion of K in M 15.114 * [backup-simplify]: Simplify K into K 15.114 * [taylor]: Taking taylor expansion of n in M 15.115 * [backup-simplify]: Simplify n into n 15.115 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 15.115 * [taylor]: Taking taylor expansion of 1/2 in M 15.115 * [backup-simplify]: Simplify 1/2 into 1/2 15.115 * [taylor]: Taking taylor expansion of (* K m) in M 15.115 * [taylor]: Taking taylor expansion of K in M 15.115 * [backup-simplify]: Simplify K into K 15.115 * [taylor]: Taking taylor expansion of m in M 15.115 * [backup-simplify]: Simplify m into m 15.115 * [taylor]: Taking taylor expansion of M in M 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [backup-simplify]: Simplify (* K n) into (* K n) 15.115 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.115 * [backup-simplify]: Simplify (* K m) into (* K m) 15.115 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.115 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.116 * [backup-simplify]: Simplify (- 0) into 0 15.116 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.116 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.116 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.116 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 15.116 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 15.116 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 15.116 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 15.116 * [taylor]: Taking taylor expansion of 1/2 in K 15.116 * [backup-simplify]: Simplify 1/2 into 1/2 15.116 * [taylor]: Taking taylor expansion of (* K n) in K 15.116 * [taylor]: Taking taylor expansion of K in K 15.116 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [taylor]: Taking taylor expansion of n in K 15.116 * [backup-simplify]: Simplify n into n 15.117 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 15.117 * [taylor]: Taking taylor expansion of 1/2 in K 15.117 * [backup-simplify]: Simplify 1/2 into 1/2 15.117 * [taylor]: Taking taylor expansion of (* K m) in K 15.117 * [taylor]: Taking taylor expansion of K in K 15.117 * [backup-simplify]: Simplify 0 into 0 15.117 * [backup-simplify]: Simplify 1 into 1 15.117 * [taylor]: Taking taylor expansion of m in K 15.117 * [backup-simplify]: Simplify m into m 15.117 * [taylor]: Taking taylor expansion of M in K 15.117 * [backup-simplify]: Simplify M into M 15.117 * [backup-simplify]: Simplify (* 0 n) into 0 15.117 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.117 * [backup-simplify]: Simplify (* 0 m) into 0 15.118 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.118 * [backup-simplify]: Simplify (+ 0 0) into 0 15.118 * [backup-simplify]: Simplify (- M) into (- M) 15.118 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.118 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.118 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.118 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 15.118 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 15.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 15.118 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.118 * [taylor]: Taking taylor expansion of 1/2 in n 15.119 * [backup-simplify]: Simplify 1/2 into 1/2 15.119 * [taylor]: Taking taylor expansion of (* K n) in n 15.119 * [taylor]: Taking taylor expansion of K in n 15.119 * [backup-simplify]: Simplify K into K 15.119 * [taylor]: Taking taylor expansion of n in n 15.119 * [backup-simplify]: Simplify 0 into 0 15.119 * [backup-simplify]: Simplify 1 into 1 15.119 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 15.119 * [taylor]: Taking taylor expansion of 1/2 in n 15.119 * [backup-simplify]: Simplify 1/2 into 1/2 15.119 * [taylor]: Taking taylor expansion of (* K m) in n 15.119 * [taylor]: Taking taylor expansion of K in n 15.119 * [backup-simplify]: Simplify K into K 15.119 * [taylor]: Taking taylor expansion of m in n 15.119 * [backup-simplify]: Simplify m into m 15.119 * [taylor]: Taking taylor expansion of M in n 15.119 * [backup-simplify]: Simplify M into M 15.119 * [backup-simplify]: Simplify (* K 0) into 0 15.119 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.119 * [backup-simplify]: Simplify (* K m) into (* K m) 15.119 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.120 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 15.120 * [backup-simplify]: Simplify (- M) into (- M) 15.120 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 15.120 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 15.120 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 15.120 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.120 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.120 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.120 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.120 * [taylor]: Taking taylor expansion of 1/2 in m 15.120 * [backup-simplify]: Simplify 1/2 into 1/2 15.120 * [taylor]: Taking taylor expansion of (* K n) in m 15.120 * [taylor]: Taking taylor expansion of K in m 15.120 * [backup-simplify]: Simplify K into K 15.120 * [taylor]: Taking taylor expansion of n in m 15.120 * [backup-simplify]: Simplify n into n 15.120 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.120 * [taylor]: Taking taylor expansion of 1/2 in m 15.120 * [backup-simplify]: Simplify 1/2 into 1/2 15.120 * [taylor]: Taking taylor expansion of (* K m) in m 15.120 * [taylor]: Taking taylor expansion of K in m 15.120 * [backup-simplify]: Simplify K into K 15.120 * [taylor]: Taking taylor expansion of m in m 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [taylor]: Taking taylor expansion of M in m 15.120 * [backup-simplify]: Simplify M into M 15.120 * [backup-simplify]: Simplify (* K n) into (* K n) 15.120 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.120 * [backup-simplify]: Simplify (* K 0) into 0 15.121 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.121 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.121 * [backup-simplify]: Simplify (- M) into (- M) 15.121 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.121 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.121 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.121 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.121 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.121 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.121 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.121 * [taylor]: Taking taylor expansion of 1/2 in m 15.121 * [backup-simplify]: Simplify 1/2 into 1/2 15.121 * [taylor]: Taking taylor expansion of (* K n) in m 15.121 * [taylor]: Taking taylor expansion of K in m 15.121 * [backup-simplify]: Simplify K into K 15.121 * [taylor]: Taking taylor expansion of n in m 15.121 * [backup-simplify]: Simplify n into n 15.121 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.121 * [taylor]: Taking taylor expansion of 1/2 in m 15.121 * [backup-simplify]: Simplify 1/2 into 1/2 15.121 * [taylor]: Taking taylor expansion of (* K m) in m 15.121 * [taylor]: Taking taylor expansion of K in m 15.121 * [backup-simplify]: Simplify K into K 15.121 * [taylor]: Taking taylor expansion of m in m 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [taylor]: Taking taylor expansion of M in m 15.121 * [backup-simplify]: Simplify M into M 15.121 * [backup-simplify]: Simplify (* K n) into (* K n) 15.122 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.122 * [backup-simplify]: Simplify (* K 0) into 0 15.122 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.122 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.122 * [backup-simplify]: Simplify (- M) into (- M) 15.122 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.122 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.122 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.122 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 15.122 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 15.123 * [backup-simplify]: Simplify (- 0) into 0 15.123 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 15.123 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.123 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.123 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.123 * [taylor]: Taking taylor expansion of 1/2 in n 15.123 * [backup-simplify]: Simplify 1/2 into 1/2 15.123 * [taylor]: Taking taylor expansion of (* K n) in n 15.123 * [taylor]: Taking taylor expansion of K in n 15.123 * [backup-simplify]: Simplify K into K 15.123 * [taylor]: Taking taylor expansion of n in n 15.123 * [backup-simplify]: Simplify 0 into 0 15.123 * [backup-simplify]: Simplify 1 into 1 15.123 * [taylor]: Taking taylor expansion of M in n 15.123 * [backup-simplify]: Simplify M into M 15.123 * [backup-simplify]: Simplify (* K 0) into 0 15.123 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.123 * [backup-simplify]: Simplify (- M) into (- M) 15.123 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.123 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.123 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.124 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.124 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.124 * [backup-simplify]: Simplify (- 0) into 0 15.124 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.124 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.124 * [taylor]: Taking taylor expansion of (- M) in K 15.124 * [taylor]: Taking taylor expansion of M in K 15.124 * [backup-simplify]: Simplify M into M 15.124 * [backup-simplify]: Simplify (- M) into (- M) 15.124 * [backup-simplify]: Simplify (- M) into (- M) 15.124 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.124 * [backup-simplify]: Simplify (- M) into (- M) 15.124 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.124 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.124 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.124 * [backup-simplify]: Simplify (- 0) into 0 15.124 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.125 * [taylor]: Taking taylor expansion of (cos (- M)) in M 15.125 * [taylor]: Taking taylor expansion of (- M) in M 15.125 * [taylor]: Taking taylor expansion of M in M 15.125 * [backup-simplify]: Simplify 0 into 0 15.125 * [backup-simplify]: Simplify 1 into 1 15.125 * [backup-simplify]: Simplify (- 0) into 0 15.125 * [backup-simplify]: Simplify (- 1) into -1 15.125 * [backup-simplify]: Simplify 1 into 1 15.125 * [backup-simplify]: Simplify (+ 0) into 0 15.126 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 15.126 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 15.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 15.126 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.127 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.127 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 15.127 * [backup-simplify]: Simplify (- 0) into 0 15.127 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.128 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 15.128 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.128 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.128 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 15.128 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 15.128 * [taylor]: Taking taylor expansion of 1/2 in n 15.128 * [backup-simplify]: Simplify 1/2 into 1/2 15.128 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 15.128 * [taylor]: Taking taylor expansion of K in n 15.128 * [backup-simplify]: Simplify K into K 15.128 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 15.128 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.128 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.128 * [taylor]: Taking taylor expansion of 1/2 in n 15.128 * [backup-simplify]: Simplify 1/2 into 1/2 15.128 * [taylor]: Taking taylor expansion of (* K n) in n 15.128 * [taylor]: Taking taylor expansion of K in n 15.128 * [backup-simplify]: Simplify K into K 15.128 * [taylor]: Taking taylor expansion of n in n 15.128 * [backup-simplify]: Simplify 0 into 0 15.128 * [backup-simplify]: Simplify 1 into 1 15.128 * [taylor]: Taking taylor expansion of M in n 15.128 * [backup-simplify]: Simplify M into M 15.128 * [backup-simplify]: Simplify (* K 0) into 0 15.128 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.128 * [backup-simplify]: Simplify (- M) into (- M) 15.129 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.129 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.129 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.129 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.129 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.129 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.129 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 15.129 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 15.129 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.129 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.129 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.129 * [taylor]: Taking taylor expansion of 1/2 in K 15.129 * [backup-simplify]: Simplify 1/2 into 1/2 15.129 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.129 * [taylor]: Taking taylor expansion of K in K 15.129 * [backup-simplify]: Simplify 0 into 0 15.129 * [backup-simplify]: Simplify 1 into 1 15.129 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.129 * [taylor]: Taking taylor expansion of (- M) in K 15.129 * [taylor]: Taking taylor expansion of M in K 15.129 * [backup-simplify]: Simplify M into M 15.129 * [backup-simplify]: Simplify (- M) into (- M) 15.129 * [backup-simplify]: Simplify (- M) into (- M) 15.129 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.129 * [backup-simplify]: Simplify (- M) into (- M) 15.129 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.129 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.129 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.129 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.129 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.130 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.130 * [backup-simplify]: Simplify (- 0) into 0 15.130 * [taylor]: Taking taylor expansion of 0 in M 15.130 * [backup-simplify]: Simplify 0 into 0 15.130 * [backup-simplify]: Simplify 0 into 0 15.130 * [backup-simplify]: Simplify (+ 0) into 0 15.131 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.131 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.131 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.131 * [backup-simplify]: Simplify (- 0) into 0 15.132 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.132 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 15.132 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.132 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 15.132 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.132 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.132 * [taylor]: Taking taylor expansion of 1/2 in K 15.132 * [backup-simplify]: Simplify 1/2 into 1/2 15.132 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.132 * [taylor]: Taking taylor expansion of K in K 15.132 * [backup-simplify]: Simplify 0 into 0 15.132 * [backup-simplify]: Simplify 1 into 1 15.132 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.132 * [taylor]: Taking taylor expansion of (- M) in K 15.132 * [taylor]: Taking taylor expansion of M in K 15.132 * [backup-simplify]: Simplify M into M 15.132 * [backup-simplify]: Simplify (- M) into (- M) 15.132 * [backup-simplify]: Simplify (- M) into (- M) 15.132 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.132 * [backup-simplify]: Simplify (- M) into (- M) 15.132 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.132 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.133 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.133 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.133 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.133 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.133 * [backup-simplify]: Simplify (- 0) into 0 15.133 * [taylor]: Taking taylor expansion of 0 in M 15.133 * [backup-simplify]: Simplify 0 into 0 15.133 * [backup-simplify]: Simplify 0 into 0 15.133 * [backup-simplify]: Simplify (+ 0) into 0 15.134 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.134 * [backup-simplify]: Simplify (- 0) into 0 15.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.135 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 15.135 * [backup-simplify]: Simplify (- 0) into 0 15.135 * [backup-simplify]: Simplify (+ 0 0) into 0 15.135 * [taylor]: Taking taylor expansion of 0 in M 15.135 * [backup-simplify]: Simplify 0 into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify (+ 0) into 0 15.136 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.136 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.137 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 15.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 15.139 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.140 * [backup-simplify]: Simplify (+ 0 0) into 0 15.140 * [backup-simplify]: Simplify (- 0) into 0 15.141 * [backup-simplify]: Simplify (+ 0 0) into 0 15.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.141 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.142 * [backup-simplify]: Simplify (- 0) into 0 15.142 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.142 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 15.142 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 15.142 * [taylor]: Taking taylor expansion of 1/8 in n 15.142 * [backup-simplify]: Simplify 1/8 into 1/8 15.142 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 15.142 * [taylor]: Taking taylor expansion of (pow K 2) in n 15.142 * [taylor]: Taking taylor expansion of K in n 15.142 * [backup-simplify]: Simplify K into K 15.142 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.142 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.142 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.142 * [taylor]: Taking taylor expansion of 1/2 in n 15.142 * [backup-simplify]: Simplify 1/2 into 1/2 15.142 * [taylor]: Taking taylor expansion of (* K n) in n 15.142 * [taylor]: Taking taylor expansion of K in n 15.142 * [backup-simplify]: Simplify K into K 15.142 * [taylor]: Taking taylor expansion of n in n 15.142 * [backup-simplify]: Simplify 0 into 0 15.142 * [backup-simplify]: Simplify 1 into 1 15.142 * [taylor]: Taking taylor expansion of M in n 15.142 * [backup-simplify]: Simplify M into M 15.142 * [backup-simplify]: Simplify (* K 0) into 0 15.143 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.143 * [backup-simplify]: Simplify (- M) into (- M) 15.143 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.143 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.143 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.143 * [backup-simplify]: Simplify (* K K) into (pow K 2) 15.143 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.143 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.143 * [backup-simplify]: Simplify (- 0) into 0 15.143 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.143 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 15.143 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 15.143 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.143 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.143 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.143 * [taylor]: Taking taylor expansion of 1/8 in K 15.144 * [backup-simplify]: Simplify 1/8 into 1/8 15.144 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.144 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.144 * [taylor]: Taking taylor expansion of K in K 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify 1 into 1 15.144 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.144 * [taylor]: Taking taylor expansion of (- M) in K 15.144 * [taylor]: Taking taylor expansion of M in K 15.144 * [backup-simplify]: Simplify M into M 15.144 * [backup-simplify]: Simplify (- M) into (- M) 15.144 * [backup-simplify]: Simplify (- M) into (- M) 15.144 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.144 * [backup-simplify]: Simplify (- M) into (- M) 15.144 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.144 * [backup-simplify]: Simplify (+ 0) into 0 15.144 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.145 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.145 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.145 * [backup-simplify]: Simplify (- 0) into 0 15.145 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.146 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 15.146 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 15.146 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 15.146 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 15.146 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 15.146 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 15.146 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 15.146 * [taylor]: Taking taylor expansion of 1/4 in K 15.146 * [backup-simplify]: Simplify 1/4 into 1/4 15.146 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.146 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.146 * [taylor]: Taking taylor expansion of K in K 15.146 * [backup-simplify]: Simplify 0 into 0 15.146 * [backup-simplify]: Simplify 1 into 1 15.146 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.146 * [taylor]: Taking taylor expansion of (- M) in K 15.146 * [taylor]: Taking taylor expansion of M in K 15.146 * [backup-simplify]: Simplify M into M 15.146 * [backup-simplify]: Simplify (- M) into (- M) 15.146 * [backup-simplify]: Simplify (- M) into (- M) 15.147 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.147 * [backup-simplify]: Simplify (- M) into (- M) 15.147 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.147 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.148 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.149 * [backup-simplify]: Simplify (- 0) into 0 15.149 * [backup-simplify]: Simplify (+ 0 0) into 0 15.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.150 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.150 * [backup-simplify]: Simplify (- 0) into 0 15.150 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.150 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.150 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.150 * [taylor]: Taking taylor expansion of 1/8 in K 15.150 * [backup-simplify]: Simplify 1/8 into 1/8 15.150 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.150 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.150 * [taylor]: Taking taylor expansion of K in K 15.150 * [backup-simplify]: Simplify 0 into 0 15.150 * [backup-simplify]: Simplify 1 into 1 15.150 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.150 * [taylor]: Taking taylor expansion of (- M) in K 15.150 * [taylor]: Taking taylor expansion of M in K 15.150 * [backup-simplify]: Simplify M into M 15.150 * [backup-simplify]: Simplify (- M) into (- M) 15.150 * [backup-simplify]: Simplify (- M) into (- M) 15.151 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.151 * [backup-simplify]: Simplify (- M) into (- M) 15.151 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.151 * [backup-simplify]: Simplify (+ 0) into 0 15.151 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.151 * [backup-simplify]: Simplify (- 0) into 0 15.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.152 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.152 * [backup-simplify]: Simplify (+ 0 0) into 0 15.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.153 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.153 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.153 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.153 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.153 * [taylor]: Taking taylor expansion of 1/2 in M 15.153 * [backup-simplify]: Simplify 1/2 into 1/2 15.153 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.153 * [taylor]: Taking taylor expansion of (- M) in M 15.153 * [taylor]: Taking taylor expansion of M in M 15.153 * [backup-simplify]: Simplify 0 into 0 15.153 * [backup-simplify]: Simplify 1 into 1 15.154 * [backup-simplify]: Simplify (- 0) into 0 15.154 * [backup-simplify]: Simplify (- 1) into -1 15.154 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.154 * [backup-simplify]: Simplify (- 0) into 0 15.154 * [backup-simplify]: Simplify 0 into 0 15.155 * [backup-simplify]: Simplify (+ 0) into 0 15.155 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.155 * [backup-simplify]: Simplify (- 0) into 0 15.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.156 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.157 * [backup-simplify]: Simplify (+ 0 0) into 0 15.157 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.157 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.157 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.157 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.157 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.157 * [taylor]: Taking taylor expansion of 1/2 in M 15.157 * [backup-simplify]: Simplify 1/2 into 1/2 15.157 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.157 * [taylor]: Taking taylor expansion of (- M) in M 15.157 * [taylor]: Taking taylor expansion of M in M 15.157 * [backup-simplify]: Simplify 0 into 0 15.158 * [backup-simplify]: Simplify 1 into 1 15.158 * [backup-simplify]: Simplify (- 0) into 0 15.158 * [backup-simplify]: Simplify (- 1) into -1 15.158 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.159 * [backup-simplify]: Simplify (- 0) into 0 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify 1 into 1 15.159 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.159 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 15.159 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.159 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.159 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.159 * [taylor]: Taking taylor expansion of 1/2 in M 15.159 * [backup-simplify]: Simplify 1/2 into 1/2 15.159 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.159 * [taylor]: Taking taylor expansion of (* m K) in M 15.159 * [taylor]: Taking taylor expansion of m in M 15.159 * [backup-simplify]: Simplify m into m 15.159 * [taylor]: Taking taylor expansion of K in M 15.159 * [backup-simplify]: Simplify K into K 15.159 * [backup-simplify]: Simplify (* m K) into (* m K) 15.159 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.159 * [taylor]: Taking taylor expansion of 1/2 in M 15.159 * [backup-simplify]: Simplify 1/2 into 1/2 15.159 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.159 * [taylor]: Taking taylor expansion of (* K n) in M 15.159 * [taylor]: Taking taylor expansion of K in M 15.159 * [backup-simplify]: Simplify K into K 15.159 * [taylor]: Taking taylor expansion of n in M 15.160 * [backup-simplify]: Simplify n into n 15.160 * [backup-simplify]: Simplify (* K n) into (* K n) 15.160 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.160 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.160 * [taylor]: Taking taylor expansion of M in M 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify 1 into 1 15.160 * [backup-simplify]: Simplify (/ 1 1) into 1 15.161 * [backup-simplify]: Simplify (- 1) into -1 15.161 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.161 * [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))) 15.161 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.161 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.161 * [taylor]: Taking taylor expansion of 1/2 in K 15.161 * [backup-simplify]: Simplify 1/2 into 1/2 15.161 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.161 * [taylor]: Taking taylor expansion of (* m K) in K 15.161 * [taylor]: Taking taylor expansion of m in K 15.161 * [backup-simplify]: Simplify m into m 15.161 * [taylor]: Taking taylor expansion of K in K 15.161 * [backup-simplify]: Simplify 0 into 0 15.161 * [backup-simplify]: Simplify 1 into 1 15.162 * [backup-simplify]: Simplify (* m 0) into 0 15.162 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.162 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.162 * [taylor]: Taking taylor expansion of 1/2 in K 15.162 * [backup-simplify]: Simplify 1/2 into 1/2 15.162 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.162 * [taylor]: Taking taylor expansion of (* K n) in K 15.162 * [taylor]: Taking taylor expansion of K in K 15.162 * [backup-simplify]: Simplify 0 into 0 15.162 * [backup-simplify]: Simplify 1 into 1 15.162 * [taylor]: Taking taylor expansion of n in K 15.162 * [backup-simplify]: Simplify n into n 15.162 * [backup-simplify]: Simplify (* 0 n) into 0 15.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.163 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.163 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.163 * [taylor]: Taking taylor expansion of M in K 15.163 * [backup-simplify]: Simplify M into M 15.163 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.163 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.163 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.163 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.163 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.163 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.163 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.163 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.163 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.163 * [taylor]: Taking taylor expansion of 1/2 in n 15.163 * [backup-simplify]: Simplify 1/2 into 1/2 15.163 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.163 * [taylor]: Taking taylor expansion of (* m K) in n 15.163 * [taylor]: Taking taylor expansion of m in n 15.163 * [backup-simplify]: Simplify m into m 15.163 * [taylor]: Taking taylor expansion of K in n 15.163 * [backup-simplify]: Simplify K into K 15.163 * [backup-simplify]: Simplify (* m K) into (* m K) 15.163 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.163 * [taylor]: Taking taylor expansion of 1/2 in n 15.164 * [backup-simplify]: Simplify 1/2 into 1/2 15.164 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.164 * [taylor]: Taking taylor expansion of (* K n) in n 15.164 * [taylor]: Taking taylor expansion of K in n 15.164 * [backup-simplify]: Simplify K into K 15.164 * [taylor]: Taking taylor expansion of n in n 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify 1 into 1 15.164 * [backup-simplify]: Simplify (* K 0) into 0 15.164 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.164 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.164 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.164 * [taylor]: Taking taylor expansion of M in n 15.164 * [backup-simplify]: Simplify M into M 15.164 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.164 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.164 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.164 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.164 * [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))) 15.164 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.164 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.165 * [taylor]: Taking taylor expansion of 1/2 in m 15.165 * [backup-simplify]: Simplify 1/2 into 1/2 15.165 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.165 * [taylor]: Taking taylor expansion of (* m K) in m 15.165 * [taylor]: Taking taylor expansion of m in m 15.165 * [backup-simplify]: Simplify 0 into 0 15.165 * [backup-simplify]: Simplify 1 into 1 15.165 * [taylor]: Taking taylor expansion of K in m 15.165 * [backup-simplify]: Simplify K into K 15.165 * [backup-simplify]: Simplify (* 0 K) into 0 15.165 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.165 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.165 * [taylor]: Taking taylor expansion of 1/2 in m 15.165 * [backup-simplify]: Simplify 1/2 into 1/2 15.165 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.165 * [taylor]: Taking taylor expansion of (* K n) in m 15.165 * [taylor]: Taking taylor expansion of K in m 15.165 * [backup-simplify]: Simplify K into K 15.165 * [taylor]: Taking taylor expansion of n in m 15.165 * [backup-simplify]: Simplify n into n 15.165 * [backup-simplify]: Simplify (* K n) into (* K n) 15.165 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.165 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.165 * [taylor]: Taking taylor expansion of M in m 15.165 * [backup-simplify]: Simplify M into M 15.165 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.165 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.166 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.166 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.166 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.166 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.166 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.166 * [taylor]: Taking taylor expansion of 1/2 in m 15.166 * [backup-simplify]: Simplify 1/2 into 1/2 15.166 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.166 * [taylor]: Taking taylor expansion of (* m K) in m 15.166 * [taylor]: Taking taylor expansion of m in m 15.166 * [backup-simplify]: Simplify 0 into 0 15.166 * [backup-simplify]: Simplify 1 into 1 15.166 * [taylor]: Taking taylor expansion of K in m 15.166 * [backup-simplify]: Simplify K into K 15.166 * [backup-simplify]: Simplify (* 0 K) into 0 15.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.166 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.167 * [taylor]: Taking taylor expansion of 1/2 in m 15.167 * [backup-simplify]: Simplify 1/2 into 1/2 15.167 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.167 * [taylor]: Taking taylor expansion of (* K n) in m 15.167 * [taylor]: Taking taylor expansion of K in m 15.167 * [backup-simplify]: Simplify K into K 15.167 * [taylor]: Taking taylor expansion of n in m 15.167 * [backup-simplify]: Simplify n into n 15.167 * [backup-simplify]: Simplify (* K n) into (* K n) 15.167 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.167 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.167 * [taylor]: Taking taylor expansion of M in m 15.167 * [backup-simplify]: Simplify M into M 15.167 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.167 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.167 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.167 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.167 * [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))) 15.167 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.167 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.167 * [taylor]: Taking taylor expansion of 1/2 in n 15.167 * [backup-simplify]: Simplify 1/2 into 1/2 15.167 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.167 * [taylor]: Taking taylor expansion of (* m K) in n 15.167 * [taylor]: Taking taylor expansion of m in n 15.167 * [backup-simplify]: Simplify m into m 15.167 * [taylor]: Taking taylor expansion of K in n 15.167 * [backup-simplify]: Simplify K into K 15.167 * [backup-simplify]: Simplify (* m K) into (* m K) 15.168 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.168 * [taylor]: Taking taylor expansion of 1/2 in n 15.168 * [backup-simplify]: Simplify 1/2 into 1/2 15.168 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.168 * [taylor]: Taking taylor expansion of (* K n) in n 15.168 * [taylor]: Taking taylor expansion of K in n 15.168 * [backup-simplify]: Simplify K into K 15.168 * [taylor]: Taking taylor expansion of n in n 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [backup-simplify]: Simplify 1 into 1 15.168 * [backup-simplify]: Simplify (* K 0) into 0 15.168 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.168 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.168 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.168 * [taylor]: Taking taylor expansion of M in n 15.168 * [backup-simplify]: Simplify M into M 15.168 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.168 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.168 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.168 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.168 * [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))) 15.169 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.169 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.169 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.169 * [taylor]: Taking taylor expansion of 1/2 in K 15.169 * [backup-simplify]: Simplify 1/2 into 1/2 15.169 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.169 * [taylor]: Taking taylor expansion of (* m K) in K 15.169 * [taylor]: Taking taylor expansion of m in K 15.169 * [backup-simplify]: Simplify m into m 15.169 * [taylor]: Taking taylor expansion of K in K 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [backup-simplify]: Simplify 1 into 1 15.169 * [backup-simplify]: Simplify (* m 0) into 0 15.169 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.169 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.169 * [taylor]: Taking taylor expansion of 1/2 in K 15.169 * [backup-simplify]: Simplify 1/2 into 1/2 15.169 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.169 * [taylor]: Taking taylor expansion of (* K n) in K 15.169 * [taylor]: Taking taylor expansion of K in K 15.169 * [backup-simplify]: Simplify 0 into 0 15.169 * [backup-simplify]: Simplify 1 into 1 15.169 * [taylor]: Taking taylor expansion of n in K 15.169 * [backup-simplify]: Simplify n into n 15.169 * [backup-simplify]: Simplify (* 0 n) into 0 15.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.170 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.170 * [taylor]: Taking taylor expansion of M in K 15.170 * [backup-simplify]: Simplify M into M 15.170 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.170 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.170 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.170 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.170 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.170 * [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))) 15.170 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.170 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.170 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.170 * [taylor]: Taking taylor expansion of 1/2 in M 15.170 * [backup-simplify]: Simplify 1/2 into 1/2 15.170 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.170 * [taylor]: Taking taylor expansion of (* m K) in M 15.170 * [taylor]: Taking taylor expansion of m in M 15.170 * [backup-simplify]: Simplify m into m 15.170 * [taylor]: Taking taylor expansion of K in M 15.170 * [backup-simplify]: Simplify K into K 15.170 * [backup-simplify]: Simplify (* m K) into (* m K) 15.170 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.171 * [taylor]: Taking taylor expansion of 1/2 in M 15.171 * [backup-simplify]: Simplify 1/2 into 1/2 15.171 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.171 * [taylor]: Taking taylor expansion of (* K n) in M 15.171 * [taylor]: Taking taylor expansion of K in M 15.171 * [backup-simplify]: Simplify K into K 15.171 * [taylor]: Taking taylor expansion of n in M 15.171 * [backup-simplify]: Simplify n into n 15.171 * [backup-simplify]: Simplify (* K n) into (* K n) 15.171 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.171 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.171 * [taylor]: Taking taylor expansion of M in M 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 1 into 1 15.171 * [backup-simplify]: Simplify (/ 1 1) into 1 15.171 * [backup-simplify]: Simplify (- 1) into -1 15.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.172 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.172 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.172 * [taylor]: Taking taylor expansion of 0 in n 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [taylor]: Taking taylor expansion of 0 in K 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [taylor]: Taking taylor expansion of 0 in M 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [taylor]: Taking taylor expansion of 0 in K 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [taylor]: Taking taylor expansion of 0 in M 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [taylor]: Taking taylor expansion of 0 in M 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 0 into 0 15.173 * [taylor]: Taking taylor expansion of 0 in n 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [taylor]: Taking taylor expansion of 0 in K 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [taylor]: Taking taylor expansion of 0 in M 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [taylor]: Taking taylor expansion of 0 in K 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [taylor]: Taking taylor expansion of 0 in M 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [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)) 15.173 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 15.173 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 15.173 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.173 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.173 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.173 * [taylor]: Taking taylor expansion of M in M 15.173 * [backup-simplify]: Simplify 0 into 0 15.173 * [backup-simplify]: Simplify 1 into 1 15.174 * [backup-simplify]: Simplify (/ 1 1) into 1 15.174 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.174 * [taylor]: Taking taylor expansion of 1/2 in M 15.174 * [backup-simplify]: Simplify 1/2 into 1/2 15.174 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.174 * [taylor]: Taking taylor expansion of (* m K) in M 15.174 * [taylor]: Taking taylor expansion of m in M 15.174 * [backup-simplify]: Simplify m into m 15.174 * [taylor]: Taking taylor expansion of K in M 15.174 * [backup-simplify]: Simplify K into K 15.174 * [backup-simplify]: Simplify (* m K) into (* m K) 15.174 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.174 * [taylor]: Taking taylor expansion of 1/2 in M 15.174 * [backup-simplify]: Simplify 1/2 into 1/2 15.174 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.174 * [taylor]: Taking taylor expansion of (* K n) in M 15.174 * [taylor]: Taking taylor expansion of K in M 15.174 * [backup-simplify]: Simplify K into K 15.174 * [taylor]: Taking taylor expansion of n in M 15.174 * [backup-simplify]: Simplify n into n 15.174 * [backup-simplify]: Simplify (* K n) into (* K n) 15.174 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.176 * [backup-simplify]: Simplify (+ 1 0) into 1 15.176 * [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)))))) 15.176 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.176 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.176 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.176 * [taylor]: Taking taylor expansion of M in K 15.177 * [backup-simplify]: Simplify M into M 15.177 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.177 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.177 * [taylor]: Taking taylor expansion of 1/2 in K 15.177 * [backup-simplify]: Simplify 1/2 into 1/2 15.177 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.177 * [taylor]: Taking taylor expansion of (* m K) in K 15.177 * [taylor]: Taking taylor expansion of m in K 15.177 * [backup-simplify]: Simplify m into m 15.177 * [taylor]: Taking taylor expansion of K in K 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [backup-simplify]: Simplify (* m 0) into 0 15.177 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.177 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.177 * [taylor]: Taking taylor expansion of 1/2 in K 15.177 * [backup-simplify]: Simplify 1/2 into 1/2 15.177 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.177 * [taylor]: Taking taylor expansion of (* K n) in K 15.177 * [taylor]: Taking taylor expansion of K in K 15.177 * [backup-simplify]: Simplify 0 into 0 15.177 * [backup-simplify]: Simplify 1 into 1 15.177 * [taylor]: Taking taylor expansion of n in K 15.177 * [backup-simplify]: Simplify n into n 15.177 * [backup-simplify]: Simplify (* 0 n) into 0 15.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.178 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.178 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.178 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.178 * [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)))))) 15.178 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.178 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.178 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.178 * [taylor]: Taking taylor expansion of M in n 15.178 * [backup-simplify]: Simplify M into M 15.178 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.179 * [taylor]: Taking taylor expansion of 1/2 in n 15.179 * [backup-simplify]: Simplify 1/2 into 1/2 15.179 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.179 * [taylor]: Taking taylor expansion of (* m K) in n 15.179 * [taylor]: Taking taylor expansion of m in n 15.179 * [backup-simplify]: Simplify m into m 15.179 * [taylor]: Taking taylor expansion of K in n 15.179 * [backup-simplify]: Simplify K into K 15.179 * [backup-simplify]: Simplify (* m K) into (* m K) 15.179 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.179 * [taylor]: Taking taylor expansion of 1/2 in n 15.179 * [backup-simplify]: Simplify 1/2 into 1/2 15.179 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.179 * [taylor]: Taking taylor expansion of (* K n) in n 15.179 * [taylor]: Taking taylor expansion of K in n 15.179 * [backup-simplify]: Simplify K into K 15.179 * [taylor]: Taking taylor expansion of n in n 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [backup-simplify]: Simplify (* K 0) into 0 15.179 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.179 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.179 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.180 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.180 * [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)))))) 15.180 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.180 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.180 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.180 * [taylor]: Taking taylor expansion of M in m 15.180 * [backup-simplify]: Simplify M into M 15.180 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.180 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.180 * [taylor]: Taking taylor expansion of 1/2 in m 15.180 * [backup-simplify]: Simplify 1/2 into 1/2 15.180 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.180 * [taylor]: Taking taylor expansion of (* m K) in m 15.180 * [taylor]: Taking taylor expansion of m in m 15.180 * [backup-simplify]: Simplify 0 into 0 15.180 * [backup-simplify]: Simplify 1 into 1 15.180 * [taylor]: Taking taylor expansion of K in m 15.180 * [backup-simplify]: Simplify K into K 15.180 * [backup-simplify]: Simplify (* 0 K) into 0 15.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.180 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.181 * [taylor]: Taking taylor expansion of 1/2 in m 15.181 * [backup-simplify]: Simplify 1/2 into 1/2 15.181 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.181 * [taylor]: Taking taylor expansion of (* K n) in m 15.181 * [taylor]: Taking taylor expansion of K in m 15.181 * [backup-simplify]: Simplify K into K 15.181 * [taylor]: Taking taylor expansion of n in m 15.181 * [backup-simplify]: Simplify n into n 15.181 * [backup-simplify]: Simplify (* K n) into (* K n) 15.181 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.181 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.181 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.181 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.181 * [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)))))) 15.181 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.181 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.181 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.181 * [taylor]: Taking taylor expansion of M in m 15.181 * [backup-simplify]: Simplify M into M 15.181 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.181 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.181 * [taylor]: Taking taylor expansion of 1/2 in m 15.181 * [backup-simplify]: Simplify 1/2 into 1/2 15.181 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.181 * [taylor]: Taking taylor expansion of (* m K) in m 15.181 * [taylor]: Taking taylor expansion of m in m 15.181 * [backup-simplify]: Simplify 0 into 0 15.181 * [backup-simplify]: Simplify 1 into 1 15.181 * [taylor]: Taking taylor expansion of K in m 15.181 * [backup-simplify]: Simplify K into K 15.181 * [backup-simplify]: Simplify (* 0 K) into 0 15.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.182 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.182 * [taylor]: Taking taylor expansion of 1/2 in m 15.182 * [backup-simplify]: Simplify 1/2 into 1/2 15.182 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.182 * [taylor]: Taking taylor expansion of (* K n) in m 15.182 * [taylor]: Taking taylor expansion of K in m 15.182 * [backup-simplify]: Simplify K into K 15.182 * [taylor]: Taking taylor expansion of n in m 15.182 * [backup-simplify]: Simplify n into n 15.182 * [backup-simplify]: Simplify (* K n) into (* K n) 15.182 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.182 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.182 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.182 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.182 * [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)))))) 15.183 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.183 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.183 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.183 * [taylor]: Taking taylor expansion of M in n 15.183 * [backup-simplify]: Simplify M into M 15.183 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.183 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.183 * [taylor]: Taking taylor expansion of 1/2 in n 15.183 * [backup-simplify]: Simplify 1/2 into 1/2 15.183 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.183 * [taylor]: Taking taylor expansion of (* m K) in n 15.183 * [taylor]: Taking taylor expansion of m in n 15.183 * [backup-simplify]: Simplify m into m 15.183 * [taylor]: Taking taylor expansion of K in n 15.183 * [backup-simplify]: Simplify K into K 15.183 * [backup-simplify]: Simplify (* m K) into (* m K) 15.183 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.183 * [taylor]: Taking taylor expansion of 1/2 in n 15.183 * [backup-simplify]: Simplify 1/2 into 1/2 15.183 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.183 * [taylor]: Taking taylor expansion of (* K n) in n 15.183 * [taylor]: Taking taylor expansion of K in n 15.183 * [backup-simplify]: Simplify K into K 15.183 * [taylor]: Taking taylor expansion of n in n 15.183 * [backup-simplify]: Simplify 0 into 0 15.183 * [backup-simplify]: Simplify 1 into 1 15.183 * [backup-simplify]: Simplify (* K 0) into 0 15.183 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.183 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.183 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.184 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.184 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.184 * [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)))))) 15.184 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.184 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.184 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.184 * [taylor]: Taking taylor expansion of M in K 15.184 * [backup-simplify]: Simplify M into M 15.184 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.184 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.184 * [taylor]: Taking taylor expansion of 1/2 in K 15.184 * [backup-simplify]: Simplify 1/2 into 1/2 15.184 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.184 * [taylor]: Taking taylor expansion of (* m K) in K 15.184 * [taylor]: Taking taylor expansion of m in K 15.184 * [backup-simplify]: Simplify m into m 15.184 * [taylor]: Taking taylor expansion of K in K 15.184 * [backup-simplify]: Simplify 0 into 0 15.184 * [backup-simplify]: Simplify 1 into 1 15.184 * [backup-simplify]: Simplify (* m 0) into 0 15.184 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.184 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.185 * [taylor]: Taking taylor expansion of 1/2 in K 15.185 * [backup-simplify]: Simplify 1/2 into 1/2 15.185 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.185 * [taylor]: Taking taylor expansion of (* K n) in K 15.185 * [taylor]: Taking taylor expansion of K in K 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify 1 into 1 15.185 * [taylor]: Taking taylor expansion of n in K 15.185 * [backup-simplify]: Simplify n into n 15.185 * [backup-simplify]: Simplify (* 0 n) into 0 15.185 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.185 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.185 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.185 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.185 * [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)))))) 15.185 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.185 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.186 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.186 * [taylor]: Taking taylor expansion of M in M 15.186 * [backup-simplify]: Simplify 0 into 0 15.186 * [backup-simplify]: Simplify 1 into 1 15.186 * [backup-simplify]: Simplify (/ 1 1) into 1 15.186 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.186 * [taylor]: Taking taylor expansion of 1/2 in M 15.186 * [backup-simplify]: Simplify 1/2 into 1/2 15.186 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.186 * [taylor]: Taking taylor expansion of (* m K) in M 15.186 * [taylor]: Taking taylor expansion of m in M 15.186 * [backup-simplify]: Simplify m into m 15.186 * [taylor]: Taking taylor expansion of K in M 15.186 * [backup-simplify]: Simplify K into K 15.186 * [backup-simplify]: Simplify (* m K) into (* m K) 15.186 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.186 * [taylor]: Taking taylor expansion of 1/2 in M 15.186 * [backup-simplify]: Simplify 1/2 into 1/2 15.186 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.186 * [taylor]: Taking taylor expansion of (* K n) in M 15.186 * [taylor]: Taking taylor expansion of K in M 15.186 * [backup-simplify]: Simplify K into K 15.186 * [taylor]: Taking taylor expansion of n in M 15.186 * [backup-simplify]: Simplify n into n 15.186 * [backup-simplify]: Simplify (* K n) into (* K n) 15.186 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.187 * [backup-simplify]: Simplify (+ 1 0) into 1 15.187 * [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)))))) 15.187 * [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)))))) 15.188 * [taylor]: Taking taylor expansion of 0 in n 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in K 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in M 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in K 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in M 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in M 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in n 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in K 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in M 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in K 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [taylor]: Taking taylor expansion of 0 in M 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [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)) 15.188 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 15.189 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 15.189 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 15.189 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 15.189 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 15.189 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 15.189 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 15.189 * [taylor]: Taking taylor expansion of 1/2 in M 15.189 * [backup-simplify]: Simplify 1/2 into 1/2 15.189 * [taylor]: Taking taylor expansion of (* K n) in M 15.189 * [taylor]: Taking taylor expansion of K in M 15.189 * [backup-simplify]: Simplify K into K 15.189 * [taylor]: Taking taylor expansion of n in M 15.189 * [backup-simplify]: Simplify n into n 15.189 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 15.189 * [taylor]: Taking taylor expansion of 1/2 in M 15.189 * [backup-simplify]: Simplify 1/2 into 1/2 15.189 * [taylor]: Taking taylor expansion of (* K m) in M 15.189 * [taylor]: Taking taylor expansion of K in M 15.189 * [backup-simplify]: Simplify K into K 15.189 * [taylor]: Taking taylor expansion of m in M 15.189 * [backup-simplify]: Simplify m into m 15.189 * [taylor]: Taking taylor expansion of M in M 15.189 * [backup-simplify]: Simplify 0 into 0 15.189 * [backup-simplify]: Simplify 1 into 1 15.189 * [backup-simplify]: Simplify (* K n) into (* K n) 15.189 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.189 * [backup-simplify]: Simplify (* K m) into (* K m) 15.189 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.189 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.190 * [backup-simplify]: Simplify (- 0) into 0 15.190 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.190 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.190 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.190 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 15.190 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 15.190 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 15.190 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 15.190 * [taylor]: Taking taylor expansion of 1/2 in K 15.190 * [backup-simplify]: Simplify 1/2 into 1/2 15.190 * [taylor]: Taking taylor expansion of (* K n) in K 15.190 * [taylor]: Taking taylor expansion of K in K 15.190 * [backup-simplify]: Simplify 0 into 0 15.190 * [backup-simplify]: Simplify 1 into 1 15.190 * [taylor]: Taking taylor expansion of n in K 15.190 * [backup-simplify]: Simplify n into n 15.190 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 15.190 * [taylor]: Taking taylor expansion of 1/2 in K 15.190 * [backup-simplify]: Simplify 1/2 into 1/2 15.190 * [taylor]: Taking taylor expansion of (* K m) in K 15.190 * [taylor]: Taking taylor expansion of K in K 15.190 * [backup-simplify]: Simplify 0 into 0 15.190 * [backup-simplify]: Simplify 1 into 1 15.190 * [taylor]: Taking taylor expansion of m in K 15.190 * [backup-simplify]: Simplify m into m 15.190 * [taylor]: Taking taylor expansion of M in K 15.190 * [backup-simplify]: Simplify M into M 15.190 * [backup-simplify]: Simplify (* 0 n) into 0 15.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.191 * [backup-simplify]: Simplify (* 0 m) into 0 15.191 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.191 * [backup-simplify]: Simplify (+ 0 0) into 0 15.192 * [backup-simplify]: Simplify (- M) into (- M) 15.192 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.192 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.192 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.192 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 15.192 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 15.192 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 15.192 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.192 * [taylor]: Taking taylor expansion of 1/2 in n 15.192 * [backup-simplify]: Simplify 1/2 into 1/2 15.192 * [taylor]: Taking taylor expansion of (* K n) in n 15.192 * [taylor]: Taking taylor expansion of K in n 15.192 * [backup-simplify]: Simplify K into K 15.192 * [taylor]: Taking taylor expansion of n in n 15.192 * [backup-simplify]: Simplify 0 into 0 15.192 * [backup-simplify]: Simplify 1 into 1 15.192 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 15.192 * [taylor]: Taking taylor expansion of 1/2 in n 15.192 * [backup-simplify]: Simplify 1/2 into 1/2 15.192 * [taylor]: Taking taylor expansion of (* K m) in n 15.192 * [taylor]: Taking taylor expansion of K in n 15.192 * [backup-simplify]: Simplify K into K 15.192 * [taylor]: Taking taylor expansion of m in n 15.192 * [backup-simplify]: Simplify m into m 15.192 * [taylor]: Taking taylor expansion of M in n 15.192 * [backup-simplify]: Simplify M into M 15.192 * [backup-simplify]: Simplify (* K 0) into 0 15.193 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.193 * [backup-simplify]: Simplify (* K m) into (* K m) 15.193 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.193 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 15.193 * [backup-simplify]: Simplify (- M) into (- M) 15.193 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 15.193 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 15.193 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 15.193 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.193 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.193 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.194 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.194 * [taylor]: Taking taylor expansion of 1/2 in m 15.194 * [backup-simplify]: Simplify 1/2 into 1/2 15.194 * [taylor]: Taking taylor expansion of (* K n) in m 15.194 * [taylor]: Taking taylor expansion of K in m 15.194 * [backup-simplify]: Simplify K into K 15.194 * [taylor]: Taking taylor expansion of n in m 15.194 * [backup-simplify]: Simplify n into n 15.194 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.194 * [taylor]: Taking taylor expansion of 1/2 in m 15.194 * [backup-simplify]: Simplify 1/2 into 1/2 15.194 * [taylor]: Taking taylor expansion of (* K m) in m 15.194 * [taylor]: Taking taylor expansion of K in m 15.194 * [backup-simplify]: Simplify K into K 15.194 * [taylor]: Taking taylor expansion of m in m 15.194 * [backup-simplify]: Simplify 0 into 0 15.194 * [backup-simplify]: Simplify 1 into 1 15.194 * [taylor]: Taking taylor expansion of M in m 15.194 * [backup-simplify]: Simplify M into M 15.194 * [backup-simplify]: Simplify (* K n) into (* K n) 15.194 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.194 * [backup-simplify]: Simplify (* K 0) into 0 15.195 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.195 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.195 * [backup-simplify]: Simplify (- M) into (- M) 15.195 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.195 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.195 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.195 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.195 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.195 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.195 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.195 * [taylor]: Taking taylor expansion of 1/2 in m 15.196 * [backup-simplify]: Simplify 1/2 into 1/2 15.196 * [taylor]: Taking taylor expansion of (* K n) in m 15.196 * [taylor]: Taking taylor expansion of K in m 15.196 * [backup-simplify]: Simplify K into K 15.196 * [taylor]: Taking taylor expansion of n in m 15.196 * [backup-simplify]: Simplify n into n 15.196 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.196 * [taylor]: Taking taylor expansion of 1/2 in m 15.196 * [backup-simplify]: Simplify 1/2 into 1/2 15.196 * [taylor]: Taking taylor expansion of (* K m) in m 15.196 * [taylor]: Taking taylor expansion of K in m 15.196 * [backup-simplify]: Simplify K into K 15.196 * [taylor]: Taking taylor expansion of m in m 15.196 * [backup-simplify]: Simplify 0 into 0 15.196 * [backup-simplify]: Simplify 1 into 1 15.196 * [taylor]: Taking taylor expansion of M in m 15.196 * [backup-simplify]: Simplify M into M 15.196 * [backup-simplify]: Simplify (* K n) into (* K n) 15.196 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.196 * [backup-simplify]: Simplify (* K 0) into 0 15.197 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.197 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.197 * [backup-simplify]: Simplify (- M) into (- M) 15.197 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.197 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.197 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.197 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 15.198 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 15.198 * [backup-simplify]: Simplify (- 0) into 0 15.198 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 15.198 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.198 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.198 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.198 * [taylor]: Taking taylor expansion of 1/2 in n 15.198 * [backup-simplify]: Simplify 1/2 into 1/2 15.198 * [taylor]: Taking taylor expansion of (* K n) in n 15.198 * [taylor]: Taking taylor expansion of K in n 15.198 * [backup-simplify]: Simplify K into K 15.198 * [taylor]: Taking taylor expansion of n in n 15.198 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify 1 into 1 15.199 * [taylor]: Taking taylor expansion of M in n 15.199 * [backup-simplify]: Simplify M into M 15.199 * [backup-simplify]: Simplify (* K 0) into 0 15.199 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.199 * [backup-simplify]: Simplify (- M) into (- M) 15.199 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.199 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.199 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.199 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.200 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.200 * [backup-simplify]: Simplify (- 0) into 0 15.200 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.200 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.200 * [taylor]: Taking taylor expansion of (- M) in K 15.200 * [taylor]: Taking taylor expansion of M in K 15.200 * [backup-simplify]: Simplify M into M 15.200 * [backup-simplify]: Simplify (- M) into (- M) 15.200 * [backup-simplify]: Simplify (- M) into (- M) 15.200 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.200 * [backup-simplify]: Simplify (- M) into (- M) 15.200 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.200 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.201 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.201 * [backup-simplify]: Simplify (- 0) into 0 15.201 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.201 * [taylor]: Taking taylor expansion of (cos (- M)) in M 15.201 * [taylor]: Taking taylor expansion of (- M) in M 15.201 * [taylor]: Taking taylor expansion of M in M 15.201 * [backup-simplify]: Simplify 0 into 0 15.201 * [backup-simplify]: Simplify 1 into 1 15.202 * [backup-simplify]: Simplify (- 0) into 0 15.202 * [backup-simplify]: Simplify (- 1) into -1 15.202 * [backup-simplify]: Simplify 1 into 1 15.203 * [backup-simplify]: Simplify (+ 0) into 0 15.203 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 15.203 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 15.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 15.204 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.205 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.205 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 15.205 * [backup-simplify]: Simplify (- 0) into 0 15.205 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.206 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 15.206 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.207 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.207 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 15.207 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 15.207 * [taylor]: Taking taylor expansion of 1/2 in n 15.207 * [backup-simplify]: Simplify 1/2 into 1/2 15.207 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 15.207 * [taylor]: Taking taylor expansion of K in n 15.207 * [backup-simplify]: Simplify K into K 15.207 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 15.207 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.207 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.207 * [taylor]: Taking taylor expansion of 1/2 in n 15.207 * [backup-simplify]: Simplify 1/2 into 1/2 15.207 * [taylor]: Taking taylor expansion of (* K n) in n 15.207 * [taylor]: Taking taylor expansion of K in n 15.207 * [backup-simplify]: Simplify K into K 15.207 * [taylor]: Taking taylor expansion of n in n 15.207 * [backup-simplify]: Simplify 0 into 0 15.207 * [backup-simplify]: Simplify 1 into 1 15.207 * [taylor]: Taking taylor expansion of M in n 15.207 * [backup-simplify]: Simplify M into M 15.207 * [backup-simplify]: Simplify (* K 0) into 0 15.208 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.208 * [backup-simplify]: Simplify (- M) into (- M) 15.208 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.208 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.208 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.208 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.208 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.208 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.208 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 15.208 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 15.209 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.209 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.209 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.209 * [taylor]: Taking taylor expansion of 1/2 in K 15.209 * [backup-simplify]: Simplify 1/2 into 1/2 15.209 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.209 * [taylor]: Taking taylor expansion of K in K 15.209 * [backup-simplify]: Simplify 0 into 0 15.209 * [backup-simplify]: Simplify 1 into 1 15.209 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.209 * [taylor]: Taking taylor expansion of (- M) in K 15.209 * [taylor]: Taking taylor expansion of M in K 15.209 * [backup-simplify]: Simplify M into M 15.209 * [backup-simplify]: Simplify (- M) into (- M) 15.209 * [backup-simplify]: Simplify (- M) into (- M) 15.209 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.209 * [backup-simplify]: Simplify (- M) into (- M) 15.209 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.209 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.209 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.209 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.209 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.210 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.210 * [backup-simplify]: Simplify (- 0) into 0 15.210 * [taylor]: Taking taylor expansion of 0 in M 15.210 * [backup-simplify]: Simplify 0 into 0 15.210 * [backup-simplify]: Simplify 0 into 0 15.211 * [backup-simplify]: Simplify (+ 0) into 0 15.211 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.212 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.212 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.213 * [backup-simplify]: Simplify (- 0) into 0 15.213 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.214 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 15.214 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.214 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 15.214 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.214 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.214 * [taylor]: Taking taylor expansion of 1/2 in K 15.214 * [backup-simplify]: Simplify 1/2 into 1/2 15.214 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.214 * [taylor]: Taking taylor expansion of K in K 15.214 * [backup-simplify]: Simplify 0 into 0 15.214 * [backup-simplify]: Simplify 1 into 1 15.214 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.214 * [taylor]: Taking taylor expansion of (- M) in K 15.214 * [taylor]: Taking taylor expansion of M in K 15.214 * [backup-simplify]: Simplify M into M 15.214 * [backup-simplify]: Simplify (- M) into (- M) 15.214 * [backup-simplify]: Simplify (- M) into (- M) 15.214 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.214 * [backup-simplify]: Simplify (- M) into (- M) 15.214 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.215 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.215 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.215 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.215 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.215 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.216 * [backup-simplify]: Simplify (- 0) into 0 15.216 * [taylor]: Taking taylor expansion of 0 in M 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify 0 into 0 15.216 * [backup-simplify]: Simplify (+ 0) into 0 15.217 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.217 * [backup-simplify]: Simplify (- 0) into 0 15.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.218 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 15.219 * [backup-simplify]: Simplify (- 0) into 0 15.219 * [backup-simplify]: Simplify (+ 0 0) into 0 15.219 * [taylor]: Taking taylor expansion of 0 in M 15.219 * [backup-simplify]: Simplify 0 into 0 15.219 * [backup-simplify]: Simplify 0 into 0 15.220 * [backup-simplify]: Simplify (+ 0) into 0 15.220 * [backup-simplify]: Simplify 0 into 0 15.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.221 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.222 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 15.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 15.223 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.229 * [backup-simplify]: Simplify (+ 0 0) into 0 15.229 * [backup-simplify]: Simplify (- 0) into 0 15.230 * [backup-simplify]: Simplify (+ 0 0) into 0 15.231 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.231 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.232 * [backup-simplify]: Simplify (- 0) into 0 15.232 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.232 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 15.232 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 15.232 * [taylor]: Taking taylor expansion of 1/8 in n 15.232 * [backup-simplify]: Simplify 1/8 into 1/8 15.232 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 15.232 * [taylor]: Taking taylor expansion of (pow K 2) in n 15.232 * [taylor]: Taking taylor expansion of K in n 15.232 * [backup-simplify]: Simplify K into K 15.232 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.232 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.232 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.232 * [taylor]: Taking taylor expansion of 1/2 in n 15.232 * [backup-simplify]: Simplify 1/2 into 1/2 15.232 * [taylor]: Taking taylor expansion of (* K n) in n 15.232 * [taylor]: Taking taylor expansion of K in n 15.232 * [backup-simplify]: Simplify K into K 15.233 * [taylor]: Taking taylor expansion of n in n 15.233 * [backup-simplify]: Simplify 0 into 0 15.233 * [backup-simplify]: Simplify 1 into 1 15.233 * [taylor]: Taking taylor expansion of M in n 15.233 * [backup-simplify]: Simplify M into M 15.233 * [backup-simplify]: Simplify (* K 0) into 0 15.233 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.233 * [backup-simplify]: Simplify (- M) into (- M) 15.233 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.233 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.233 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.233 * [backup-simplify]: Simplify (* K K) into (pow K 2) 15.234 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.234 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.234 * [backup-simplify]: Simplify (- 0) into 0 15.234 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.234 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 15.234 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 15.235 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.235 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.235 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.235 * [taylor]: Taking taylor expansion of 1/8 in K 15.235 * [backup-simplify]: Simplify 1/8 into 1/8 15.235 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.235 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.235 * [taylor]: Taking taylor expansion of K in K 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 1 into 1 15.235 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.235 * [taylor]: Taking taylor expansion of (- M) in K 15.235 * [taylor]: Taking taylor expansion of M in K 15.235 * [backup-simplify]: Simplify M into M 15.235 * [backup-simplify]: Simplify (- M) into (- M) 15.235 * [backup-simplify]: Simplify (- M) into (- M) 15.235 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.235 * [backup-simplify]: Simplify (- M) into (- M) 15.235 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.236 * [backup-simplify]: Simplify (+ 0) into 0 15.236 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.237 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.237 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.238 * [backup-simplify]: Simplify (- 0) into 0 15.238 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.239 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 15.239 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 15.239 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 15.239 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 15.240 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 15.240 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 15.240 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 15.240 * [taylor]: Taking taylor expansion of 1/4 in K 15.240 * [backup-simplify]: Simplify 1/4 into 1/4 15.240 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.240 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.240 * [taylor]: Taking taylor expansion of K in K 15.240 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify 1 into 1 15.240 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.240 * [taylor]: Taking taylor expansion of (- M) in K 15.240 * [taylor]: Taking taylor expansion of M in K 15.240 * [backup-simplify]: Simplify M into M 15.240 * [backup-simplify]: Simplify (- M) into (- M) 15.240 * [backup-simplify]: Simplify (- M) into (- M) 15.240 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.240 * [backup-simplify]: Simplify (- M) into (- M) 15.240 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.241 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.242 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.243 * [backup-simplify]: Simplify (- 0) into 0 15.244 * [backup-simplify]: Simplify (+ 0 0) into 0 15.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.245 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.245 * [backup-simplify]: Simplify (- 0) into 0 15.246 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.246 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.246 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.246 * [taylor]: Taking taylor expansion of 1/8 in K 15.246 * [backup-simplify]: Simplify 1/8 into 1/8 15.246 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.246 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.246 * [taylor]: Taking taylor expansion of K in K 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 1 into 1 15.246 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.246 * [taylor]: Taking taylor expansion of (- M) in K 15.246 * [taylor]: Taking taylor expansion of M in K 15.246 * [backup-simplify]: Simplify M into M 15.246 * [backup-simplify]: Simplify (- M) into (- M) 15.246 * [backup-simplify]: Simplify (- M) into (- M) 15.246 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.246 * [backup-simplify]: Simplify (- M) into (- M) 15.246 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.247 * [backup-simplify]: Simplify (+ 0) into 0 15.247 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.248 * [backup-simplify]: Simplify (- 0) into 0 15.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.249 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.249 * [backup-simplify]: Simplify (+ 0 0) into 0 15.250 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.250 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.250 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.250 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.250 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.250 * [taylor]: Taking taylor expansion of 1/2 in M 15.250 * [backup-simplify]: Simplify 1/2 into 1/2 15.250 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.250 * [taylor]: Taking taylor expansion of (- M) in M 15.250 * [taylor]: Taking taylor expansion of M in M 15.250 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify 1 into 1 15.251 * [backup-simplify]: Simplify (- 0) into 0 15.251 * [backup-simplify]: Simplify (- 1) into -1 15.252 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.252 * [backup-simplify]: Simplify (- 0) into 0 15.252 * [backup-simplify]: Simplify 0 into 0 15.253 * [backup-simplify]: Simplify (+ 0) into 0 15.253 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.254 * [backup-simplify]: Simplify (- 0) into 0 15.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.255 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.255 * [backup-simplify]: Simplify (+ 0 0) into 0 15.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.256 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.256 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.256 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.256 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.256 * [taylor]: Taking taylor expansion of 1/2 in M 15.256 * [backup-simplify]: Simplify 1/2 into 1/2 15.256 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.256 * [taylor]: Taking taylor expansion of (- M) in M 15.256 * [taylor]: Taking taylor expansion of M in M 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 1 into 1 15.257 * [backup-simplify]: Simplify (- 0) into 0 15.257 * [backup-simplify]: Simplify (- 1) into -1 15.258 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.258 * [backup-simplify]: Simplify (- 0) into 0 15.258 * [backup-simplify]: Simplify 0 into 0 15.258 * [backup-simplify]: Simplify 1 into 1 15.258 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.258 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 15.258 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.258 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.259 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.259 * [taylor]: Taking taylor expansion of 1/2 in M 15.259 * [backup-simplify]: Simplify 1/2 into 1/2 15.259 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.259 * [taylor]: Taking taylor expansion of (* m K) in M 15.259 * [taylor]: Taking taylor expansion of m in M 15.259 * [backup-simplify]: Simplify m into m 15.259 * [taylor]: Taking taylor expansion of K in M 15.259 * [backup-simplify]: Simplify K into K 15.259 * [backup-simplify]: Simplify (* m K) into (* m K) 15.259 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.259 * [taylor]: Taking taylor expansion of 1/2 in M 15.259 * [backup-simplify]: Simplify 1/2 into 1/2 15.259 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.259 * [taylor]: Taking taylor expansion of (* K n) in M 15.259 * [taylor]: Taking taylor expansion of K in M 15.259 * [backup-simplify]: Simplify K into K 15.259 * [taylor]: Taking taylor expansion of n in M 15.259 * [backup-simplify]: Simplify n into n 15.259 * [backup-simplify]: Simplify (* K n) into (* K n) 15.259 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.259 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.259 * [taylor]: Taking taylor expansion of M in M 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 1 into 1 15.260 * [backup-simplify]: Simplify (/ 1 1) into 1 15.260 * [backup-simplify]: Simplify (- 1) into -1 15.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.261 * [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))) 15.261 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.261 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.261 * [taylor]: Taking taylor expansion of 1/2 in K 15.261 * [backup-simplify]: Simplify 1/2 into 1/2 15.261 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.261 * [taylor]: Taking taylor expansion of (* m K) in K 15.261 * [taylor]: Taking taylor expansion of m in K 15.261 * [backup-simplify]: Simplify m into m 15.261 * [taylor]: Taking taylor expansion of K in K 15.261 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify 1 into 1 15.261 * [backup-simplify]: Simplify (* m 0) into 0 15.262 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.262 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.262 * [taylor]: Taking taylor expansion of 1/2 in K 15.262 * [backup-simplify]: Simplify 1/2 into 1/2 15.262 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.262 * [taylor]: Taking taylor expansion of (* K n) in K 15.262 * [taylor]: Taking taylor expansion of K in K 15.262 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify 1 into 1 15.262 * [taylor]: Taking taylor expansion of n in K 15.262 * [backup-simplify]: Simplify n into n 15.262 * [backup-simplify]: Simplify (* 0 n) into 0 15.262 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.263 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.263 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.263 * [taylor]: Taking taylor expansion of M in K 15.263 * [backup-simplify]: Simplify M into M 15.263 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.263 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.263 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.263 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.263 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.263 * [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))) 15.263 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.264 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.264 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.264 * [taylor]: Taking taylor expansion of 1/2 in n 15.264 * [backup-simplify]: Simplify 1/2 into 1/2 15.264 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.264 * [taylor]: Taking taylor expansion of (* m K) in n 15.264 * [taylor]: Taking taylor expansion of m in n 15.264 * [backup-simplify]: Simplify m into m 15.264 * [taylor]: Taking taylor expansion of K in n 15.264 * [backup-simplify]: Simplify K into K 15.264 * [backup-simplify]: Simplify (* m K) into (* m K) 15.264 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.264 * [taylor]: Taking taylor expansion of 1/2 in n 15.264 * [backup-simplify]: Simplify 1/2 into 1/2 15.264 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.264 * [taylor]: Taking taylor expansion of (* K n) in n 15.264 * [taylor]: Taking taylor expansion of K in n 15.264 * [backup-simplify]: Simplify K into K 15.264 * [taylor]: Taking taylor expansion of n in n 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 1 into 1 15.264 * [backup-simplify]: Simplify (* K 0) into 0 15.265 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.265 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.265 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.265 * [taylor]: Taking taylor expansion of M in n 15.265 * [backup-simplify]: Simplify M into M 15.265 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.265 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.265 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.265 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.265 * [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))) 15.265 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.266 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.266 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.266 * [taylor]: Taking taylor expansion of 1/2 in m 15.266 * [backup-simplify]: Simplify 1/2 into 1/2 15.266 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.266 * [taylor]: Taking taylor expansion of (* m K) in m 15.266 * [taylor]: Taking taylor expansion of m in m 15.266 * [backup-simplify]: Simplify 0 into 0 15.266 * [backup-simplify]: Simplify 1 into 1 15.266 * [taylor]: Taking taylor expansion of K in m 15.266 * [backup-simplify]: Simplify K into K 15.266 * [backup-simplify]: Simplify (* 0 K) into 0 15.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.266 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.266 * [taylor]: Taking taylor expansion of 1/2 in m 15.266 * [backup-simplify]: Simplify 1/2 into 1/2 15.266 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.266 * [taylor]: Taking taylor expansion of (* K n) in m 15.267 * [taylor]: Taking taylor expansion of K in m 15.267 * [backup-simplify]: Simplify K into K 15.267 * [taylor]: Taking taylor expansion of n in m 15.267 * [backup-simplify]: Simplify n into n 15.267 * [backup-simplify]: Simplify (* K n) into (* K n) 15.267 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.267 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.267 * [taylor]: Taking taylor expansion of M in m 15.267 * [backup-simplify]: Simplify M into M 15.267 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.267 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.267 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.267 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.267 * [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))) 15.267 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.267 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.268 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.268 * [taylor]: Taking taylor expansion of 1/2 in m 15.268 * [backup-simplify]: Simplify 1/2 into 1/2 15.268 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.268 * [taylor]: Taking taylor expansion of (* m K) in m 15.268 * [taylor]: Taking taylor expansion of m in m 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify 1 into 1 15.268 * [taylor]: Taking taylor expansion of K in m 15.268 * [backup-simplify]: Simplify K into K 15.268 * [backup-simplify]: Simplify (* 0 K) into 0 15.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.268 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.268 * [taylor]: Taking taylor expansion of 1/2 in m 15.268 * [backup-simplify]: Simplify 1/2 into 1/2 15.268 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.268 * [taylor]: Taking taylor expansion of (* K n) in m 15.268 * [taylor]: Taking taylor expansion of K in m 15.269 * [backup-simplify]: Simplify K into K 15.269 * [taylor]: Taking taylor expansion of n in m 15.269 * [backup-simplify]: Simplify n into n 15.269 * [backup-simplify]: Simplify (* K n) into (* K n) 15.269 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.269 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.269 * [taylor]: Taking taylor expansion of M in m 15.269 * [backup-simplify]: Simplify M into M 15.269 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.269 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.269 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.269 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.269 * [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))) 15.269 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.270 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.270 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.270 * [taylor]: Taking taylor expansion of 1/2 in n 15.270 * [backup-simplify]: Simplify 1/2 into 1/2 15.270 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.270 * [taylor]: Taking taylor expansion of (* m K) in n 15.270 * [taylor]: Taking taylor expansion of m in n 15.270 * [backup-simplify]: Simplify m into m 15.270 * [taylor]: Taking taylor expansion of K in n 15.270 * [backup-simplify]: Simplify K into K 15.270 * [backup-simplify]: Simplify (* m K) into (* m K) 15.270 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.270 * [taylor]: Taking taylor expansion of 1/2 in n 15.270 * [backup-simplify]: Simplify 1/2 into 1/2 15.270 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.270 * [taylor]: Taking taylor expansion of (* K n) in n 15.270 * [taylor]: Taking taylor expansion of K in n 15.270 * [backup-simplify]: Simplify K into K 15.270 * [taylor]: Taking taylor expansion of n in n 15.270 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify 1 into 1 15.270 * [backup-simplify]: Simplify (* K 0) into 0 15.271 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.271 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.271 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.271 * [taylor]: Taking taylor expansion of M in n 15.271 * [backup-simplify]: Simplify M into M 15.271 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.271 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.271 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.271 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.271 * [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))) 15.271 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.272 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.272 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.272 * [taylor]: Taking taylor expansion of 1/2 in K 15.272 * [backup-simplify]: Simplify 1/2 into 1/2 15.272 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.272 * [taylor]: Taking taylor expansion of (* m K) in K 15.272 * [taylor]: Taking taylor expansion of m in K 15.272 * [backup-simplify]: Simplify m into m 15.272 * [taylor]: Taking taylor expansion of K in K 15.272 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify 1 into 1 15.272 * [backup-simplify]: Simplify (* m 0) into 0 15.272 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.272 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.272 * [taylor]: Taking taylor expansion of 1/2 in K 15.272 * [backup-simplify]: Simplify 1/2 into 1/2 15.273 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.273 * [taylor]: Taking taylor expansion of (* K n) in K 15.273 * [taylor]: Taking taylor expansion of K in K 15.273 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify 1 into 1 15.273 * [taylor]: Taking taylor expansion of n in K 15.273 * [backup-simplify]: Simplify n into n 15.273 * [backup-simplify]: Simplify (* 0 n) into 0 15.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.273 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.273 * [taylor]: Taking taylor expansion of M in K 15.273 * [backup-simplify]: Simplify M into M 15.273 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.273 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.273 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.274 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.274 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.274 * [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))) 15.274 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.274 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.274 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.274 * [taylor]: Taking taylor expansion of 1/2 in M 15.274 * [backup-simplify]: Simplify 1/2 into 1/2 15.274 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.274 * [taylor]: Taking taylor expansion of (* m K) in M 15.274 * [taylor]: Taking taylor expansion of m in M 15.274 * [backup-simplify]: Simplify m into m 15.274 * [taylor]: Taking taylor expansion of K in M 15.274 * [backup-simplify]: Simplify K into K 15.274 * [backup-simplify]: Simplify (* m K) into (* m K) 15.275 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.275 * [taylor]: Taking taylor expansion of 1/2 in M 15.275 * [backup-simplify]: Simplify 1/2 into 1/2 15.275 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.275 * [taylor]: Taking taylor expansion of (* K n) in M 15.275 * [taylor]: Taking taylor expansion of K in M 15.275 * [backup-simplify]: Simplify K into K 15.275 * [taylor]: Taking taylor expansion of n in M 15.275 * [backup-simplify]: Simplify n into n 15.275 * [backup-simplify]: Simplify (* K n) into (* K n) 15.275 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.275 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.275 * [taylor]: Taking taylor expansion of M in M 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify 1 into 1 15.275 * [backup-simplify]: Simplify (/ 1 1) into 1 15.276 * [backup-simplify]: Simplify (- 1) into -1 15.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.277 * [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))) 15.277 * [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))) 15.277 * [taylor]: Taking taylor expansion of 0 in n 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in K 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in M 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in K 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in M 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [taylor]: Taking taylor expansion of 0 in M 15.277 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [taylor]: Taking taylor expansion of 0 in n 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [taylor]: Taking taylor expansion of 0 in K 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [taylor]: Taking taylor expansion of 0 in M 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [taylor]: Taking taylor expansion of 0 in K 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [taylor]: Taking taylor expansion of 0 in M 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [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)) 15.279 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 15.279 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 15.279 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.279 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.279 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.279 * [taylor]: Taking taylor expansion of M in M 15.279 * [backup-simplify]: Simplify 0 into 0 15.279 * [backup-simplify]: Simplify 1 into 1 15.279 * [backup-simplify]: Simplify (/ 1 1) into 1 15.279 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.279 * [taylor]: Taking taylor expansion of 1/2 in M 15.280 * [backup-simplify]: Simplify 1/2 into 1/2 15.280 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.280 * [taylor]: Taking taylor expansion of (* m K) in M 15.280 * [taylor]: Taking taylor expansion of m in M 15.280 * [backup-simplify]: Simplify m into m 15.280 * [taylor]: Taking taylor expansion of K in M 15.280 * [backup-simplify]: Simplify K into K 15.280 * [backup-simplify]: Simplify (* m K) into (* m K) 15.280 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.280 * [taylor]: Taking taylor expansion of 1/2 in M 15.280 * [backup-simplify]: Simplify 1/2 into 1/2 15.280 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.280 * [taylor]: Taking taylor expansion of (* K n) in M 15.280 * [taylor]: Taking taylor expansion of K in M 15.280 * [backup-simplify]: Simplify K into K 15.280 * [taylor]: Taking taylor expansion of n in M 15.280 * [backup-simplify]: Simplify n into n 15.280 * [backup-simplify]: Simplify (* K n) into (* K n) 15.280 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.281 * [backup-simplify]: Simplify (+ 1 0) into 1 15.281 * [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)))))) 15.281 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.281 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.281 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.281 * [taylor]: Taking taylor expansion of M in K 15.281 * [backup-simplify]: Simplify M into M 15.281 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.281 * [taylor]: Taking taylor expansion of 1/2 in K 15.281 * [backup-simplify]: Simplify 1/2 into 1/2 15.281 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.281 * [taylor]: Taking taylor expansion of (* m K) in K 15.281 * [taylor]: Taking taylor expansion of m in K 15.281 * [backup-simplify]: Simplify m into m 15.281 * [taylor]: Taking taylor expansion of K in K 15.281 * [backup-simplify]: Simplify 0 into 0 15.281 * [backup-simplify]: Simplify 1 into 1 15.282 * [backup-simplify]: Simplify (* m 0) into 0 15.282 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.282 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.282 * [taylor]: Taking taylor expansion of 1/2 in K 15.282 * [backup-simplify]: Simplify 1/2 into 1/2 15.282 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.282 * [taylor]: Taking taylor expansion of (* K n) in K 15.282 * [taylor]: Taking taylor expansion of K in K 15.282 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify 1 into 1 15.282 * [taylor]: Taking taylor expansion of n in K 15.282 * [backup-simplify]: Simplify n into n 15.282 * [backup-simplify]: Simplify (* 0 n) into 0 15.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.283 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.283 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.283 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.283 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.283 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.284 * [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)))))) 15.284 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.284 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.284 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.284 * [taylor]: Taking taylor expansion of M in n 15.284 * [backup-simplify]: Simplify M into M 15.284 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.284 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.284 * [taylor]: Taking taylor expansion of 1/2 in n 15.284 * [backup-simplify]: Simplify 1/2 into 1/2 15.284 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.284 * [taylor]: Taking taylor expansion of (* m K) in n 15.284 * [taylor]: Taking taylor expansion of m in n 15.284 * [backup-simplify]: Simplify m into m 15.284 * [taylor]: Taking taylor expansion of K in n 15.284 * [backup-simplify]: Simplify K into K 15.284 * [backup-simplify]: Simplify (* m K) into (* m K) 15.284 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.284 * [taylor]: Taking taylor expansion of 1/2 in n 15.284 * [backup-simplify]: Simplify 1/2 into 1/2 15.284 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.284 * [taylor]: Taking taylor expansion of (* K n) in n 15.284 * [taylor]: Taking taylor expansion of K in n 15.284 * [backup-simplify]: Simplify K into K 15.284 * [taylor]: Taking taylor expansion of n in n 15.284 * [backup-simplify]: Simplify 0 into 0 15.284 * [backup-simplify]: Simplify 1 into 1 15.285 * [backup-simplify]: Simplify (* K 0) into 0 15.285 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.285 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.285 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.285 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.286 * [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)))))) 15.286 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.286 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.286 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.286 * [taylor]: Taking taylor expansion of M in m 15.286 * [backup-simplify]: Simplify M into M 15.286 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.286 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.286 * [taylor]: Taking taylor expansion of 1/2 in m 15.286 * [backup-simplify]: Simplify 1/2 into 1/2 15.286 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.286 * [taylor]: Taking taylor expansion of (* m K) in m 15.286 * [taylor]: Taking taylor expansion of m in m 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify 1 into 1 15.286 * [taylor]: Taking taylor expansion of K in m 15.286 * [backup-simplify]: Simplify K into K 15.286 * [backup-simplify]: Simplify (* 0 K) into 0 15.287 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.287 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.287 * [taylor]: Taking taylor expansion of 1/2 in m 15.287 * [backup-simplify]: Simplify 1/2 into 1/2 15.287 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.287 * [taylor]: Taking taylor expansion of (* K n) in m 15.287 * [taylor]: Taking taylor expansion of K in m 15.287 * [backup-simplify]: Simplify K into K 15.287 * [taylor]: Taking taylor expansion of n in m 15.287 * [backup-simplify]: Simplify n into n 15.287 * [backup-simplify]: Simplify (* K n) into (* K n) 15.287 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.287 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.287 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.287 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.288 * [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)))))) 15.288 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.288 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.288 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.288 * [taylor]: Taking taylor expansion of M in m 15.288 * [backup-simplify]: Simplify M into M 15.288 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.288 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.288 * [taylor]: Taking taylor expansion of 1/2 in m 15.288 * [backup-simplify]: Simplify 1/2 into 1/2 15.288 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.288 * [taylor]: Taking taylor expansion of (* m K) in m 15.288 * [taylor]: Taking taylor expansion of m in m 15.288 * [backup-simplify]: Simplify 0 into 0 15.288 * [backup-simplify]: Simplify 1 into 1 15.288 * [taylor]: Taking taylor expansion of K in m 15.288 * [backup-simplify]: Simplify K into K 15.288 * [backup-simplify]: Simplify (* 0 K) into 0 15.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.289 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.289 * [taylor]: Taking taylor expansion of 1/2 in m 15.289 * [backup-simplify]: Simplify 1/2 into 1/2 15.289 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.289 * [taylor]: Taking taylor expansion of (* K n) in m 15.289 * [taylor]: Taking taylor expansion of K in m 15.289 * [backup-simplify]: Simplify K into K 15.289 * [taylor]: Taking taylor expansion of n in m 15.289 * [backup-simplify]: Simplify n into n 15.289 * [backup-simplify]: Simplify (* K n) into (* K n) 15.289 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.289 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.289 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.289 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.289 * [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)))))) 15.290 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.290 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.290 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.290 * [taylor]: Taking taylor expansion of M in n 15.290 * [backup-simplify]: Simplify M into M 15.290 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.290 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.290 * [taylor]: Taking taylor expansion of 1/2 in n 15.290 * [backup-simplify]: Simplify 1/2 into 1/2 15.290 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.290 * [taylor]: Taking taylor expansion of (* m K) in n 15.290 * [taylor]: Taking taylor expansion of m in n 15.290 * [backup-simplify]: Simplify m into m 15.290 * [taylor]: Taking taylor expansion of K in n 15.290 * [backup-simplify]: Simplify K into K 15.290 * [backup-simplify]: Simplify (* m K) into (* m K) 15.290 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.290 * [taylor]: Taking taylor expansion of 1/2 in n 15.290 * [backup-simplify]: Simplify 1/2 into 1/2 15.290 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.290 * [taylor]: Taking taylor expansion of (* K n) in n 15.290 * [taylor]: Taking taylor expansion of K in n 15.290 * [backup-simplify]: Simplify K into K 15.290 * [taylor]: Taking taylor expansion of n in n 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify 1 into 1 15.291 * [backup-simplify]: Simplify (* K 0) into 0 15.291 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.291 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.291 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.291 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.291 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.292 * [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)))))) 15.292 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.292 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.292 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.292 * [taylor]: Taking taylor expansion of M in K 15.292 * [backup-simplify]: Simplify M into M 15.292 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.292 * [taylor]: Taking taylor expansion of 1/2 in K 15.292 * [backup-simplify]: Simplify 1/2 into 1/2 15.292 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.292 * [taylor]: Taking taylor expansion of (* m K) in K 15.292 * [taylor]: Taking taylor expansion of m in K 15.292 * [backup-simplify]: Simplify m into m 15.292 * [taylor]: Taking taylor expansion of K in K 15.292 * [backup-simplify]: Simplify 0 into 0 15.292 * [backup-simplify]: Simplify 1 into 1 15.292 * [backup-simplify]: Simplify (* m 0) into 0 15.292 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.293 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.293 * [taylor]: Taking taylor expansion of 1/2 in K 15.293 * [backup-simplify]: Simplify 1/2 into 1/2 15.293 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.293 * [taylor]: Taking taylor expansion of (* K n) in K 15.293 * [taylor]: Taking taylor expansion of K in K 15.293 * [backup-simplify]: Simplify 0 into 0 15.293 * [backup-simplify]: Simplify 1 into 1 15.293 * [taylor]: Taking taylor expansion of n in K 15.293 * [backup-simplify]: Simplify n into n 15.293 * [backup-simplify]: Simplify (* 0 n) into 0 15.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.293 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.294 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.294 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.294 * [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)))))) 15.294 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.294 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.294 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.294 * [taylor]: Taking taylor expansion of M in M 15.294 * [backup-simplify]: Simplify 0 into 0 15.294 * [backup-simplify]: Simplify 1 into 1 15.295 * [backup-simplify]: Simplify (/ 1 1) into 1 15.295 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.295 * [taylor]: Taking taylor expansion of 1/2 in M 15.295 * [backup-simplify]: Simplify 1/2 into 1/2 15.295 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.295 * [taylor]: Taking taylor expansion of (* m K) in M 15.295 * [taylor]: Taking taylor expansion of m in M 15.295 * [backup-simplify]: Simplify m into m 15.295 * [taylor]: Taking taylor expansion of K in M 15.295 * [backup-simplify]: Simplify K into K 15.295 * [backup-simplify]: Simplify (* m K) into (* m K) 15.295 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.295 * [taylor]: Taking taylor expansion of 1/2 in M 15.295 * [backup-simplify]: Simplify 1/2 into 1/2 15.295 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.295 * [taylor]: Taking taylor expansion of (* K n) in M 15.295 * [taylor]: Taking taylor expansion of K in M 15.295 * [backup-simplify]: Simplify K into K 15.295 * [taylor]: Taking taylor expansion of n in M 15.295 * [backup-simplify]: Simplify n into n 15.295 * [backup-simplify]: Simplify (* K n) into (* K n) 15.295 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.296 * [backup-simplify]: Simplify (+ 1 0) into 1 15.296 * [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)))))) 15.296 * [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)))))) 15.297 * [taylor]: Taking taylor expansion of 0 in n 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in K 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in M 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in K 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in M 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in M 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in n 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in K 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in M 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in K 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [taylor]: Taking taylor expansion of 0 in M 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.298 * [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)) 15.298 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 15.299 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 15.299 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 15.299 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 15.299 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 15.299 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 15.299 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 15.299 * [taylor]: Taking taylor expansion of 1/2 in M 15.299 * [backup-simplify]: Simplify 1/2 into 1/2 15.299 * [taylor]: Taking taylor expansion of (* K n) in M 15.299 * [taylor]: Taking taylor expansion of K in M 15.299 * [backup-simplify]: Simplify K into K 15.299 * [taylor]: Taking taylor expansion of n in M 15.299 * [backup-simplify]: Simplify n into n 15.299 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 15.299 * [taylor]: Taking taylor expansion of 1/2 in M 15.299 * [backup-simplify]: Simplify 1/2 into 1/2 15.299 * [taylor]: Taking taylor expansion of (* K m) in M 15.299 * [taylor]: Taking taylor expansion of K in M 15.299 * [backup-simplify]: Simplify K into K 15.299 * [taylor]: Taking taylor expansion of m in M 15.299 * [backup-simplify]: Simplify m into m 15.299 * [taylor]: Taking taylor expansion of M in M 15.299 * [backup-simplify]: Simplify 0 into 0 15.299 * [backup-simplify]: Simplify 1 into 1 15.299 * [backup-simplify]: Simplify (* K n) into (* K n) 15.299 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.299 * [backup-simplify]: Simplify (* K m) into (* K m) 15.300 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.300 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.300 * [backup-simplify]: Simplify (- 0) into 0 15.300 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 15.301 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.301 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 15.301 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 15.301 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 15.301 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 15.301 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 15.301 * [taylor]: Taking taylor expansion of 1/2 in K 15.301 * [backup-simplify]: Simplify 1/2 into 1/2 15.301 * [taylor]: Taking taylor expansion of (* K n) in K 15.301 * [taylor]: Taking taylor expansion of K in K 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 1 into 1 15.301 * [taylor]: Taking taylor expansion of n in K 15.301 * [backup-simplify]: Simplify n into n 15.301 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 15.301 * [taylor]: Taking taylor expansion of 1/2 in K 15.301 * [backup-simplify]: Simplify 1/2 into 1/2 15.301 * [taylor]: Taking taylor expansion of (* K m) in K 15.301 * [taylor]: Taking taylor expansion of K in K 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 1 into 1 15.301 * [taylor]: Taking taylor expansion of m in K 15.301 * [backup-simplify]: Simplify m into m 15.301 * [taylor]: Taking taylor expansion of M in K 15.301 * [backup-simplify]: Simplify M into M 15.301 * [backup-simplify]: Simplify (* 0 n) into 0 15.302 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.302 * [backup-simplify]: Simplify (* 0 m) into 0 15.302 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.303 * [backup-simplify]: Simplify (+ 0 0) into 0 15.303 * [backup-simplify]: Simplify (- M) into (- M) 15.303 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.303 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.303 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.303 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 15.303 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 15.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 15.303 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.303 * [taylor]: Taking taylor expansion of 1/2 in n 15.303 * [backup-simplify]: Simplify 1/2 into 1/2 15.303 * [taylor]: Taking taylor expansion of (* K n) in n 15.303 * [taylor]: Taking taylor expansion of K in n 15.303 * [backup-simplify]: Simplify K into K 15.303 * [taylor]: Taking taylor expansion of n in n 15.303 * [backup-simplify]: Simplify 0 into 0 15.303 * [backup-simplify]: Simplify 1 into 1 15.303 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 15.303 * [taylor]: Taking taylor expansion of 1/2 in n 15.303 * [backup-simplify]: Simplify 1/2 into 1/2 15.303 * [taylor]: Taking taylor expansion of (* K m) in n 15.303 * [taylor]: Taking taylor expansion of K in n 15.303 * [backup-simplify]: Simplify K into K 15.303 * [taylor]: Taking taylor expansion of m in n 15.303 * [backup-simplify]: Simplify m into m 15.303 * [taylor]: Taking taylor expansion of M in n 15.303 * [backup-simplify]: Simplify M into M 15.304 * [backup-simplify]: Simplify (* K 0) into 0 15.304 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.304 * [backup-simplify]: Simplify (* K m) into (* K m) 15.304 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 15.304 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 15.304 * [backup-simplify]: Simplify (- M) into (- M) 15.304 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 15.304 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 15.305 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 15.305 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.305 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.305 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.305 * [taylor]: Taking taylor expansion of 1/2 in m 15.305 * [backup-simplify]: Simplify 1/2 into 1/2 15.305 * [taylor]: Taking taylor expansion of (* K n) in m 15.305 * [taylor]: Taking taylor expansion of K in m 15.305 * [backup-simplify]: Simplify K into K 15.305 * [taylor]: Taking taylor expansion of n in m 15.305 * [backup-simplify]: Simplify n into n 15.305 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.305 * [taylor]: Taking taylor expansion of 1/2 in m 15.305 * [backup-simplify]: Simplify 1/2 into 1/2 15.305 * [taylor]: Taking taylor expansion of (* K m) in m 15.305 * [taylor]: Taking taylor expansion of K in m 15.305 * [backup-simplify]: Simplify K into K 15.305 * [taylor]: Taking taylor expansion of m in m 15.305 * [backup-simplify]: Simplify 0 into 0 15.305 * [backup-simplify]: Simplify 1 into 1 15.305 * [taylor]: Taking taylor expansion of M in m 15.305 * [backup-simplify]: Simplify M into M 15.305 * [backup-simplify]: Simplify (* K n) into (* K n) 15.305 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.305 * [backup-simplify]: Simplify (* K 0) into 0 15.306 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.306 * [backup-simplify]: Simplify (- M) into (- M) 15.306 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.306 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.306 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.306 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 15.306 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 15.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 15.306 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 15.306 * [taylor]: Taking taylor expansion of 1/2 in m 15.306 * [backup-simplify]: Simplify 1/2 into 1/2 15.307 * [taylor]: Taking taylor expansion of (* K n) in m 15.307 * [taylor]: Taking taylor expansion of K in m 15.307 * [backup-simplify]: Simplify K into K 15.307 * [taylor]: Taking taylor expansion of n in m 15.307 * [backup-simplify]: Simplify n into n 15.307 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 15.307 * [taylor]: Taking taylor expansion of 1/2 in m 15.307 * [backup-simplify]: Simplify 1/2 into 1/2 15.307 * [taylor]: Taking taylor expansion of (* K m) in m 15.307 * [taylor]: Taking taylor expansion of K in m 15.307 * [backup-simplify]: Simplify K into K 15.307 * [taylor]: Taking taylor expansion of m in m 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify 1 into 1 15.307 * [taylor]: Taking taylor expansion of M in m 15.307 * [backup-simplify]: Simplify M into M 15.307 * [backup-simplify]: Simplify (* K n) into (* K n) 15.307 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 15.307 * [backup-simplify]: Simplify (* K 0) into 0 15.307 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.308 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 15.308 * [backup-simplify]: Simplify (- M) into (- M) 15.308 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 15.308 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 15.308 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 15.308 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 15.308 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 15.309 * [backup-simplify]: Simplify (- 0) into 0 15.309 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 15.309 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.309 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.309 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.309 * [taylor]: Taking taylor expansion of 1/2 in n 15.309 * [backup-simplify]: Simplify 1/2 into 1/2 15.309 * [taylor]: Taking taylor expansion of (* K n) in n 15.309 * [taylor]: Taking taylor expansion of K in n 15.309 * [backup-simplify]: Simplify K into K 15.309 * [taylor]: Taking taylor expansion of n in n 15.309 * [backup-simplify]: Simplify 0 into 0 15.309 * [backup-simplify]: Simplify 1 into 1 15.309 * [taylor]: Taking taylor expansion of M in n 15.309 * [backup-simplify]: Simplify M into M 15.309 * [backup-simplify]: Simplify (* K 0) into 0 15.310 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.310 * [backup-simplify]: Simplify (- M) into (- M) 15.310 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.310 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.310 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.310 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.310 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.311 * [backup-simplify]: Simplify (- 0) into 0 15.311 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.311 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.311 * [taylor]: Taking taylor expansion of (- M) in K 15.311 * [taylor]: Taking taylor expansion of M in K 15.311 * [backup-simplify]: Simplify M into M 15.311 * [backup-simplify]: Simplify (- M) into (- M) 15.311 * [backup-simplify]: Simplify (- M) into (- M) 15.311 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.311 * [backup-simplify]: Simplify (- M) into (- M) 15.311 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.311 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.311 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.312 * [backup-simplify]: Simplify (- 0) into 0 15.312 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.312 * [taylor]: Taking taylor expansion of (cos (- M)) in M 15.312 * [taylor]: Taking taylor expansion of (- M) in M 15.312 * [taylor]: Taking taylor expansion of M in M 15.312 * [backup-simplify]: Simplify 0 into 0 15.312 * [backup-simplify]: Simplify 1 into 1 15.312 * [backup-simplify]: Simplify (- 0) into 0 15.313 * [backup-simplify]: Simplify (- 1) into -1 15.313 * [backup-simplify]: Simplify 1 into 1 15.313 * [backup-simplify]: Simplify (+ 0) into 0 15.314 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 15.314 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 15.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 15.315 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.315 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.315 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 15.316 * [backup-simplify]: Simplify (- 0) into 0 15.316 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.316 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 15.317 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.317 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 15.317 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 15.317 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 15.317 * [taylor]: Taking taylor expansion of 1/2 in n 15.317 * [backup-simplify]: Simplify 1/2 into 1/2 15.317 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 15.317 * [taylor]: Taking taylor expansion of K in n 15.317 * [backup-simplify]: Simplify K into K 15.317 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 15.317 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.317 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.317 * [taylor]: Taking taylor expansion of 1/2 in n 15.317 * [backup-simplify]: Simplify 1/2 into 1/2 15.317 * [taylor]: Taking taylor expansion of (* K n) in n 15.317 * [taylor]: Taking taylor expansion of K in n 15.317 * [backup-simplify]: Simplify K into K 15.317 * [taylor]: Taking taylor expansion of n in n 15.317 * [backup-simplify]: Simplify 0 into 0 15.317 * [backup-simplify]: Simplify 1 into 1 15.317 * [taylor]: Taking taylor expansion of M in n 15.317 * [backup-simplify]: Simplify M into M 15.317 * [backup-simplify]: Simplify (* K 0) into 0 15.318 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.318 * [backup-simplify]: Simplify (- M) into (- M) 15.318 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.318 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.318 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.318 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.318 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.318 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.318 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 15.318 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 15.319 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.319 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.319 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.319 * [taylor]: Taking taylor expansion of 1/2 in K 15.319 * [backup-simplify]: Simplify 1/2 into 1/2 15.319 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.319 * [taylor]: Taking taylor expansion of K in K 15.319 * [backup-simplify]: Simplify 0 into 0 15.319 * [backup-simplify]: Simplify 1 into 1 15.319 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.319 * [taylor]: Taking taylor expansion of (- M) in K 15.319 * [taylor]: Taking taylor expansion of M in K 15.319 * [backup-simplify]: Simplify M into M 15.319 * [backup-simplify]: Simplify (- M) into (- M) 15.319 * [backup-simplify]: Simplify (- M) into (- M) 15.319 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.319 * [backup-simplify]: Simplify (- M) into (- M) 15.319 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.319 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.319 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.319 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.319 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.320 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.320 * [backup-simplify]: Simplify (- 0) into 0 15.320 * [taylor]: Taking taylor expansion of 0 in M 15.320 * [backup-simplify]: Simplify 0 into 0 15.320 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify (+ 0) into 0 15.321 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.322 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.322 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.323 * [backup-simplify]: Simplify (- 0) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.323 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 15.323 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 15.324 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 15.324 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 15.324 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 15.324 * [taylor]: Taking taylor expansion of 1/2 in K 15.324 * [backup-simplify]: Simplify 1/2 into 1/2 15.324 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 15.324 * [taylor]: Taking taylor expansion of K in K 15.324 * [backup-simplify]: Simplify 0 into 0 15.324 * [backup-simplify]: Simplify 1 into 1 15.324 * [taylor]: Taking taylor expansion of (sin (- M)) in K 15.324 * [taylor]: Taking taylor expansion of (- M) in K 15.324 * [taylor]: Taking taylor expansion of M in K 15.324 * [backup-simplify]: Simplify M into M 15.324 * [backup-simplify]: Simplify (- M) into (- M) 15.324 * [backup-simplify]: Simplify (- M) into (- M) 15.325 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.325 * [backup-simplify]: Simplify (- M) into (- M) 15.325 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.325 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 15.326 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 15.326 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 15.326 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 15.326 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.327 * [backup-simplify]: Simplify (- 0) into 0 15.327 * [taylor]: Taking taylor expansion of 0 in M 15.327 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify (+ 0) into 0 15.328 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 15.328 * [backup-simplify]: Simplify (- 0) into 0 15.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.330 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 15.330 * [backup-simplify]: Simplify (- 0) into 0 15.331 * [backup-simplify]: Simplify (+ 0 0) into 0 15.331 * [taylor]: Taking taylor expansion of 0 in M 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify (+ 0) into 0 15.331 * [backup-simplify]: Simplify 0 into 0 15.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.333 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.334 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 15.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 15.336 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.337 * [backup-simplify]: Simplify (+ 0 0) into 0 15.337 * [backup-simplify]: Simplify (- 0) into 0 15.338 * [backup-simplify]: Simplify (+ 0 0) into 0 15.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.339 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.339 * [backup-simplify]: Simplify (- 0) into 0 15.340 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 15.340 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 15.340 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 15.340 * [taylor]: Taking taylor expansion of 1/8 in n 15.340 * [backup-simplify]: Simplify 1/8 into 1/8 15.340 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 15.340 * [taylor]: Taking taylor expansion of (pow K 2) in n 15.340 * [taylor]: Taking taylor expansion of K in n 15.340 * [backup-simplify]: Simplify K into K 15.340 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 15.340 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 15.340 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 15.340 * [taylor]: Taking taylor expansion of 1/2 in n 15.340 * [backup-simplify]: Simplify 1/2 into 1/2 15.340 * [taylor]: Taking taylor expansion of (* K n) in n 15.340 * [taylor]: Taking taylor expansion of K in n 15.340 * [backup-simplify]: Simplify K into K 15.340 * [taylor]: Taking taylor expansion of n in n 15.340 * [backup-simplify]: Simplify 0 into 0 15.340 * [backup-simplify]: Simplify 1 into 1 15.340 * [taylor]: Taking taylor expansion of M in n 15.340 * [backup-simplify]: Simplify M into M 15.341 * [backup-simplify]: Simplify (* K 0) into 0 15.341 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.341 * [backup-simplify]: Simplify (- M) into (- M) 15.341 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 15.341 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.341 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.341 * [backup-simplify]: Simplify (* K K) into (pow K 2) 15.341 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 15.341 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 15.342 * [backup-simplify]: Simplify (- 0) into 0 15.342 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 15.342 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 15.342 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 15.342 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.342 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.343 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.343 * [taylor]: Taking taylor expansion of 1/8 in K 15.343 * [backup-simplify]: Simplify 1/8 into 1/8 15.343 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.343 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.343 * [taylor]: Taking taylor expansion of K in K 15.343 * [backup-simplify]: Simplify 0 into 0 15.343 * [backup-simplify]: Simplify 1 into 1 15.343 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.343 * [taylor]: Taking taylor expansion of (- M) in K 15.343 * [taylor]: Taking taylor expansion of M in K 15.343 * [backup-simplify]: Simplify M into M 15.343 * [backup-simplify]: Simplify (- M) into (- M) 15.343 * [backup-simplify]: Simplify (- M) into (- M) 15.343 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.343 * [backup-simplify]: Simplify (- M) into (- M) 15.343 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.343 * [backup-simplify]: Simplify (+ 0) into 0 15.344 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.344 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.345 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 15.345 * [backup-simplify]: Simplify (- 0) into 0 15.345 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 15.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 15.346 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 15.346 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 15.346 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 15.347 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 15.347 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 15.347 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 15.347 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 15.347 * [taylor]: Taking taylor expansion of 1/4 in K 15.347 * [backup-simplify]: Simplify 1/4 into 1/4 15.347 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.347 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.347 * [taylor]: Taking taylor expansion of K in K 15.347 * [backup-simplify]: Simplify 0 into 0 15.347 * [backup-simplify]: Simplify 1 into 1 15.347 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.347 * [taylor]: Taking taylor expansion of (- M) in K 15.347 * [taylor]: Taking taylor expansion of M in K 15.347 * [backup-simplify]: Simplify M into M 15.347 * [backup-simplify]: Simplify (- M) into (- M) 15.347 * [backup-simplify]: Simplify (- M) into (- M) 15.347 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.348 * [backup-simplify]: Simplify (- M) into (- M) 15.348 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 15.349 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.350 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 15.351 * [backup-simplify]: Simplify (- 0) into 0 15.351 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 15.353 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 15.353 * [backup-simplify]: Simplify (- 0) into 0 15.354 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 15.354 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 15.354 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 15.354 * [taylor]: Taking taylor expansion of 1/8 in K 15.354 * [backup-simplify]: Simplify 1/8 into 1/8 15.354 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 15.354 * [taylor]: Taking taylor expansion of (pow K 2) in K 15.354 * [taylor]: Taking taylor expansion of K in K 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify 1 into 1 15.354 * [taylor]: Taking taylor expansion of (cos (- M)) in K 15.354 * [taylor]: Taking taylor expansion of (- M) in K 15.354 * [taylor]: Taking taylor expansion of M in K 15.354 * [backup-simplify]: Simplify M into M 15.354 * [backup-simplify]: Simplify (- M) into (- M) 15.354 * [backup-simplify]: Simplify (- M) into (- M) 15.354 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 15.354 * [backup-simplify]: Simplify (- M) into (- M) 15.354 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 15.355 * [backup-simplify]: Simplify (+ 0) into 0 15.355 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.356 * [backup-simplify]: Simplify (- 0) into 0 15.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.357 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.357 * [backup-simplify]: Simplify (+ 0 0) into 0 15.358 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.359 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.359 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.359 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.359 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.359 * [taylor]: Taking taylor expansion of 1/2 in M 15.359 * [backup-simplify]: Simplify 1/2 into 1/2 15.359 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.359 * [taylor]: Taking taylor expansion of (- M) in M 15.359 * [taylor]: Taking taylor expansion of M in M 15.359 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify 1 into 1 15.360 * [backup-simplify]: Simplify (- 0) into 0 15.360 * [backup-simplify]: Simplify (- 1) into -1 15.361 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.361 * [backup-simplify]: Simplify (- 0) into 0 15.361 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify (+ 0) into 0 15.362 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 15.363 * [backup-simplify]: Simplify (- 0) into 0 15.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 15.364 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 15.364 * [backup-simplify]: Simplify (+ 0 0) into 0 15.365 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 15.365 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 15.365 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 15.365 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 15.366 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 15.366 * [taylor]: Taking taylor expansion of 1/2 in M 15.366 * [backup-simplify]: Simplify 1/2 into 1/2 15.366 * [taylor]: Taking taylor expansion of (sin (- M)) in M 15.366 * [taylor]: Taking taylor expansion of (- M) in M 15.366 * [taylor]: Taking taylor expansion of M in M 15.366 * [backup-simplify]: Simplify 0 into 0 15.366 * [backup-simplify]: Simplify 1 into 1 15.366 * [backup-simplify]: Simplify (- 0) into 0 15.366 * [backup-simplify]: Simplify (- 1) into -1 15.367 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.367 * [backup-simplify]: Simplify (- 0) into 0 15.367 * [backup-simplify]: Simplify 0 into 0 15.367 * [backup-simplify]: Simplify 1 into 1 15.368 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 15.368 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 15.368 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.368 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.368 * [taylor]: Taking taylor expansion of 1/2 in M 15.368 * [backup-simplify]: Simplify 1/2 into 1/2 15.368 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.368 * [taylor]: Taking taylor expansion of (* m K) in M 15.368 * [taylor]: Taking taylor expansion of m in M 15.368 * [backup-simplify]: Simplify m into m 15.368 * [taylor]: Taking taylor expansion of K in M 15.368 * [backup-simplify]: Simplify K into K 15.368 * [backup-simplify]: Simplify (* m K) into (* m K) 15.368 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.368 * [taylor]: Taking taylor expansion of 1/2 in M 15.369 * [backup-simplify]: Simplify 1/2 into 1/2 15.369 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.369 * [taylor]: Taking taylor expansion of (* K n) in M 15.369 * [taylor]: Taking taylor expansion of K in M 15.369 * [backup-simplify]: Simplify K into K 15.369 * [taylor]: Taking taylor expansion of n in M 15.369 * [backup-simplify]: Simplify n into n 15.369 * [backup-simplify]: Simplify (* K n) into (* K n) 15.369 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.369 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.369 * [taylor]: Taking taylor expansion of M in M 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.369 * [backup-simplify]: Simplify (/ 1 1) into 1 15.370 * [backup-simplify]: Simplify (- 1) into -1 15.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.371 * [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))) 15.371 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.371 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.371 * [taylor]: Taking taylor expansion of 1/2 in K 15.371 * [backup-simplify]: Simplify 1/2 into 1/2 15.371 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.371 * [taylor]: Taking taylor expansion of (* m K) in K 15.371 * [taylor]: Taking taylor expansion of m in K 15.371 * [backup-simplify]: Simplify m into m 15.371 * [taylor]: Taking taylor expansion of K in K 15.371 * [backup-simplify]: Simplify 0 into 0 15.371 * [backup-simplify]: Simplify 1 into 1 15.371 * [backup-simplify]: Simplify (* m 0) into 0 15.372 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.372 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.372 * [taylor]: Taking taylor expansion of 1/2 in K 15.372 * [backup-simplify]: Simplify 1/2 into 1/2 15.372 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.372 * [taylor]: Taking taylor expansion of (* K n) in K 15.372 * [taylor]: Taking taylor expansion of K in K 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [backup-simplify]: Simplify 1 into 1 15.372 * [taylor]: Taking taylor expansion of n in K 15.372 * [backup-simplify]: Simplify n into n 15.372 * [backup-simplify]: Simplify (* 0 n) into 0 15.373 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.373 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.373 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.373 * [taylor]: Taking taylor expansion of M in K 15.373 * [backup-simplify]: Simplify M into M 15.373 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.373 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.373 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.374 * [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))) 15.374 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.374 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.374 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.374 * [taylor]: Taking taylor expansion of 1/2 in n 15.374 * [backup-simplify]: Simplify 1/2 into 1/2 15.374 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.374 * [taylor]: Taking taylor expansion of (* m K) in n 15.374 * [taylor]: Taking taylor expansion of m in n 15.374 * [backup-simplify]: Simplify m into m 15.374 * [taylor]: Taking taylor expansion of K in n 15.375 * [backup-simplify]: Simplify K into K 15.375 * [backup-simplify]: Simplify (* m K) into (* m K) 15.375 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.375 * [taylor]: Taking taylor expansion of 1/2 in n 15.375 * [backup-simplify]: Simplify 1/2 into 1/2 15.375 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.375 * [taylor]: Taking taylor expansion of (* K n) in n 15.375 * [taylor]: Taking taylor expansion of K in n 15.375 * [backup-simplify]: Simplify K into K 15.375 * [taylor]: Taking taylor expansion of n in n 15.375 * [backup-simplify]: Simplify 0 into 0 15.375 * [backup-simplify]: Simplify 1 into 1 15.375 * [backup-simplify]: Simplify (* K 0) into 0 15.376 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.376 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.376 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.376 * [taylor]: Taking taylor expansion of M in n 15.376 * [backup-simplify]: Simplify M into M 15.376 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.376 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.376 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.376 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.377 * [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))) 15.377 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.377 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.377 * [taylor]: Taking taylor expansion of 1/2 in m 15.377 * [backup-simplify]: Simplify 1/2 into 1/2 15.377 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.377 * [taylor]: Taking taylor expansion of (* m K) in m 15.377 * [taylor]: Taking taylor expansion of m in m 15.377 * [backup-simplify]: Simplify 0 into 0 15.377 * [backup-simplify]: Simplify 1 into 1 15.377 * [taylor]: Taking taylor expansion of K in m 15.377 * [backup-simplify]: Simplify K into K 15.377 * [backup-simplify]: Simplify (* 0 K) into 0 15.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.378 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.378 * [taylor]: Taking taylor expansion of 1/2 in m 15.378 * [backup-simplify]: Simplify 1/2 into 1/2 15.378 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.378 * [taylor]: Taking taylor expansion of (* K n) in m 15.378 * [taylor]: Taking taylor expansion of K in m 15.378 * [backup-simplify]: Simplify K into K 15.378 * [taylor]: Taking taylor expansion of n in m 15.378 * [backup-simplify]: Simplify n into n 15.378 * [backup-simplify]: Simplify (* K n) into (* K n) 15.378 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.378 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.378 * [taylor]: Taking taylor expansion of M in m 15.378 * [backup-simplify]: Simplify M into M 15.378 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.378 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.379 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.379 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.379 * [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))) 15.379 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 15.379 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 15.379 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.379 * [taylor]: Taking taylor expansion of 1/2 in m 15.379 * [backup-simplify]: Simplify 1/2 into 1/2 15.379 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.379 * [taylor]: Taking taylor expansion of (* m K) in m 15.379 * [taylor]: Taking taylor expansion of m in m 15.379 * [backup-simplify]: Simplify 0 into 0 15.379 * [backup-simplify]: Simplify 1 into 1 15.379 * [taylor]: Taking taylor expansion of K in m 15.379 * [backup-simplify]: Simplify K into K 15.379 * [backup-simplify]: Simplify (* 0 K) into 0 15.380 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.380 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.380 * [taylor]: Taking taylor expansion of 1/2 in m 15.380 * [backup-simplify]: Simplify 1/2 into 1/2 15.380 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.380 * [taylor]: Taking taylor expansion of (* K n) in m 15.380 * [taylor]: Taking taylor expansion of K in m 15.380 * [backup-simplify]: Simplify K into K 15.380 * [taylor]: Taking taylor expansion of n in m 15.380 * [backup-simplify]: Simplify n into n 15.380 * [backup-simplify]: Simplify (* K n) into (* K n) 15.380 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.380 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.380 * [taylor]: Taking taylor expansion of M in m 15.381 * [backup-simplify]: Simplify M into M 15.381 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.381 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.381 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.381 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.381 * [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))) 15.381 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 15.381 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 15.381 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.381 * [taylor]: Taking taylor expansion of 1/2 in n 15.381 * [backup-simplify]: Simplify 1/2 into 1/2 15.381 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.381 * [taylor]: Taking taylor expansion of (* m K) in n 15.382 * [taylor]: Taking taylor expansion of m in n 15.382 * [backup-simplify]: Simplify m into m 15.382 * [taylor]: Taking taylor expansion of K in n 15.382 * [backup-simplify]: Simplify K into K 15.382 * [backup-simplify]: Simplify (* m K) into (* m K) 15.382 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.382 * [taylor]: Taking taylor expansion of 1/2 in n 15.382 * [backup-simplify]: Simplify 1/2 into 1/2 15.382 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.382 * [taylor]: Taking taylor expansion of (* K n) in n 15.382 * [taylor]: Taking taylor expansion of K in n 15.382 * [backup-simplify]: Simplify K into K 15.382 * [taylor]: Taking taylor expansion of n in n 15.382 * [backup-simplify]: Simplify 0 into 0 15.382 * [backup-simplify]: Simplify 1 into 1 15.382 * [backup-simplify]: Simplify (* K 0) into 0 15.383 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.383 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.383 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.383 * [taylor]: Taking taylor expansion of M in n 15.383 * [backup-simplify]: Simplify M into M 15.383 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.383 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.383 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.383 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 15.384 * [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))) 15.384 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 15.384 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 15.384 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.384 * [taylor]: Taking taylor expansion of 1/2 in K 15.384 * [backup-simplify]: Simplify 1/2 into 1/2 15.384 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.384 * [taylor]: Taking taylor expansion of (* m K) in K 15.384 * [taylor]: Taking taylor expansion of m in K 15.384 * [backup-simplify]: Simplify m into m 15.384 * [taylor]: Taking taylor expansion of K in K 15.384 * [backup-simplify]: Simplify 0 into 0 15.384 * [backup-simplify]: Simplify 1 into 1 15.384 * [backup-simplify]: Simplify (* m 0) into 0 15.385 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.385 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.385 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.385 * [taylor]: Taking taylor expansion of 1/2 in K 15.385 * [backup-simplify]: Simplify 1/2 into 1/2 15.385 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.385 * [taylor]: Taking taylor expansion of (* K n) in K 15.385 * [taylor]: Taking taylor expansion of K in K 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [backup-simplify]: Simplify 1 into 1 15.385 * [taylor]: Taking taylor expansion of n in K 15.385 * [backup-simplify]: Simplify n into n 15.385 * [backup-simplify]: Simplify (* 0 n) into 0 15.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.386 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.386 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.386 * [taylor]: Taking taylor expansion of M in K 15.386 * [backup-simplify]: Simplify M into M 15.386 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.386 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.386 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.387 * [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))) 15.387 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 15.387 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 15.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.387 * [taylor]: Taking taylor expansion of 1/2 in M 15.387 * [backup-simplify]: Simplify 1/2 into 1/2 15.387 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.387 * [taylor]: Taking taylor expansion of (* m K) in M 15.387 * [taylor]: Taking taylor expansion of m in M 15.387 * [backup-simplify]: Simplify m into m 15.387 * [taylor]: Taking taylor expansion of K in M 15.387 * [backup-simplify]: Simplify K into K 15.387 * [backup-simplify]: Simplify (* m K) into (* m K) 15.387 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.387 * [taylor]: Taking taylor expansion of 1/2 in M 15.387 * [backup-simplify]: Simplify 1/2 into 1/2 15.387 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.387 * [taylor]: Taking taylor expansion of (* K n) in M 15.387 * [taylor]: Taking taylor expansion of K in M 15.387 * [backup-simplify]: Simplify K into K 15.388 * [taylor]: Taking taylor expansion of n in M 15.388 * [backup-simplify]: Simplify n into n 15.388 * [backup-simplify]: Simplify (* K n) into (* K n) 15.388 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.388 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.388 * [taylor]: Taking taylor expansion of M in M 15.388 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify 1 into 1 15.388 * [backup-simplify]: Simplify (/ 1 1) into 1 15.389 * [backup-simplify]: Simplify (- 1) into -1 15.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.390 * [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))) 15.390 * [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))) 15.390 * [taylor]: Taking taylor expansion of 0 in n 15.390 * [backup-simplify]: Simplify 0 into 0 15.390 * [taylor]: Taking taylor expansion of 0 in K 15.390 * [backup-simplify]: Simplify 0 into 0 15.390 * [taylor]: Taking taylor expansion of 0 in M 15.390 * [backup-simplify]: Simplify 0 into 0 15.390 * [backup-simplify]: Simplify 0 into 0 15.390 * [taylor]: Taking taylor expansion of 0 in K 15.390 * [backup-simplify]: Simplify 0 into 0 15.390 * [taylor]: Taking taylor expansion of 0 in M 15.390 * [backup-simplify]: Simplify 0 into 0 15.390 * [backup-simplify]: Simplify 0 into 0 15.391 * [taylor]: Taking taylor expansion of 0 in M 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [taylor]: Taking taylor expansion of 0 in n 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [taylor]: Taking taylor expansion of 0 in K 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [taylor]: Taking taylor expansion of 0 in M 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [taylor]: Taking taylor expansion of 0 in K 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [taylor]: Taking taylor expansion of 0 in M 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [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)) 15.392 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 15.392 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 15.392 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.392 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.392 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.392 * [taylor]: Taking taylor expansion of M in M 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.393 * [backup-simplify]: Simplify (/ 1 1) into 1 15.393 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.393 * [taylor]: Taking taylor expansion of 1/2 in M 15.393 * [backup-simplify]: Simplify 1/2 into 1/2 15.393 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.393 * [taylor]: Taking taylor expansion of (* m K) in M 15.393 * [taylor]: Taking taylor expansion of m in M 15.393 * [backup-simplify]: Simplify m into m 15.393 * [taylor]: Taking taylor expansion of K in M 15.393 * [backup-simplify]: Simplify K into K 15.393 * [backup-simplify]: Simplify (* m K) into (* m K) 15.393 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.393 * [taylor]: Taking taylor expansion of 1/2 in M 15.393 * [backup-simplify]: Simplify 1/2 into 1/2 15.393 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.393 * [taylor]: Taking taylor expansion of (* K n) in M 15.393 * [taylor]: Taking taylor expansion of K in M 15.393 * [backup-simplify]: Simplify K into K 15.393 * [taylor]: Taking taylor expansion of n in M 15.394 * [backup-simplify]: Simplify n into n 15.394 * [backup-simplify]: Simplify (* K n) into (* K n) 15.394 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.394 * [backup-simplify]: Simplify (+ 1 0) into 1 15.395 * [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)))))) 15.395 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.395 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.395 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.395 * [taylor]: Taking taylor expansion of M in K 15.395 * [backup-simplify]: Simplify M into M 15.395 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.395 * [taylor]: Taking taylor expansion of 1/2 in K 15.395 * [backup-simplify]: Simplify 1/2 into 1/2 15.395 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.395 * [taylor]: Taking taylor expansion of (* m K) in K 15.395 * [taylor]: Taking taylor expansion of m in K 15.395 * [backup-simplify]: Simplify m into m 15.395 * [taylor]: Taking taylor expansion of K in K 15.395 * [backup-simplify]: Simplify 0 into 0 15.395 * [backup-simplify]: Simplify 1 into 1 15.395 * [backup-simplify]: Simplify (* m 0) into 0 15.396 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.396 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.396 * [taylor]: Taking taylor expansion of 1/2 in K 15.396 * [backup-simplify]: Simplify 1/2 into 1/2 15.396 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.396 * [taylor]: Taking taylor expansion of (* K n) in K 15.396 * [taylor]: Taking taylor expansion of K in K 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [backup-simplify]: Simplify 1 into 1 15.396 * [taylor]: Taking taylor expansion of n in K 15.396 * [backup-simplify]: Simplify n into n 15.396 * [backup-simplify]: Simplify (* 0 n) into 0 15.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.403 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.403 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.403 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.404 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.404 * [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)))))) 15.404 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.404 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.404 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.404 * [taylor]: Taking taylor expansion of M in n 15.404 * [backup-simplify]: Simplify M into M 15.404 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.404 * [taylor]: Taking taylor expansion of 1/2 in n 15.404 * [backup-simplify]: Simplify 1/2 into 1/2 15.404 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.404 * [taylor]: Taking taylor expansion of (* m K) in n 15.404 * [taylor]: Taking taylor expansion of m in n 15.404 * [backup-simplify]: Simplify m into m 15.404 * [taylor]: Taking taylor expansion of K in n 15.404 * [backup-simplify]: Simplify K into K 15.404 * [backup-simplify]: Simplify (* m K) into (* m K) 15.404 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.405 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.405 * [taylor]: Taking taylor expansion of 1/2 in n 15.405 * [backup-simplify]: Simplify 1/2 into 1/2 15.405 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.405 * [taylor]: Taking taylor expansion of (* K n) in n 15.405 * [taylor]: Taking taylor expansion of K in n 15.405 * [backup-simplify]: Simplify K into K 15.405 * [taylor]: Taking taylor expansion of n in n 15.405 * [backup-simplify]: Simplify 0 into 0 15.405 * [backup-simplify]: Simplify 1 into 1 15.405 * [backup-simplify]: Simplify (* K 0) into 0 15.406 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.406 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.406 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.406 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.406 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.406 * [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)))))) 15.406 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.406 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.406 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.406 * [taylor]: Taking taylor expansion of M in m 15.407 * [backup-simplify]: Simplify M into M 15.407 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.407 * [taylor]: Taking taylor expansion of 1/2 in m 15.407 * [backup-simplify]: Simplify 1/2 into 1/2 15.407 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.407 * [taylor]: Taking taylor expansion of (* m K) in m 15.407 * [taylor]: Taking taylor expansion of m in m 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify 1 into 1 15.407 * [taylor]: Taking taylor expansion of K in m 15.407 * [backup-simplify]: Simplify K into K 15.407 * [backup-simplify]: Simplify (* 0 K) into 0 15.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.407 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.408 * [taylor]: Taking taylor expansion of 1/2 in m 15.408 * [backup-simplify]: Simplify 1/2 into 1/2 15.408 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.408 * [taylor]: Taking taylor expansion of (* K n) in m 15.408 * [taylor]: Taking taylor expansion of K in m 15.408 * [backup-simplify]: Simplify K into K 15.408 * [taylor]: Taking taylor expansion of n in m 15.408 * [backup-simplify]: Simplify n into n 15.408 * [backup-simplify]: Simplify (* K n) into (* K n) 15.408 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.408 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.408 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.408 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.408 * [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)))))) 15.408 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 15.408 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 15.409 * [taylor]: Taking taylor expansion of (/ 1 M) in m 15.409 * [taylor]: Taking taylor expansion of M in m 15.409 * [backup-simplify]: Simplify M into M 15.409 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 15.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 15.409 * [taylor]: Taking taylor expansion of 1/2 in m 15.409 * [backup-simplify]: Simplify 1/2 into 1/2 15.409 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 15.409 * [taylor]: Taking taylor expansion of (* m K) in m 15.409 * [taylor]: Taking taylor expansion of m in m 15.409 * [backup-simplify]: Simplify 0 into 0 15.409 * [backup-simplify]: Simplify 1 into 1 15.409 * [taylor]: Taking taylor expansion of K in m 15.409 * [backup-simplify]: Simplify K into K 15.409 * [backup-simplify]: Simplify (* 0 K) into 0 15.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 15.410 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 15.410 * [taylor]: Taking taylor expansion of 1/2 in m 15.410 * [backup-simplify]: Simplify 1/2 into 1/2 15.410 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 15.410 * [taylor]: Taking taylor expansion of (* K n) in m 15.410 * [taylor]: Taking taylor expansion of K in m 15.410 * [backup-simplify]: Simplify K into K 15.410 * [taylor]: Taking taylor expansion of n in m 15.410 * [backup-simplify]: Simplify n into n 15.410 * [backup-simplify]: Simplify (* K n) into (* K n) 15.410 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.410 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.410 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 15.410 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.411 * [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)))))) 15.411 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 15.411 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 15.411 * [taylor]: Taking taylor expansion of (/ 1 M) in n 15.411 * [taylor]: Taking taylor expansion of M in n 15.411 * [backup-simplify]: Simplify M into M 15.411 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 15.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 15.411 * [taylor]: Taking taylor expansion of 1/2 in n 15.411 * [backup-simplify]: Simplify 1/2 into 1/2 15.411 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 15.411 * [taylor]: Taking taylor expansion of (* m K) in n 15.411 * [taylor]: Taking taylor expansion of m in n 15.411 * [backup-simplify]: Simplify m into m 15.411 * [taylor]: Taking taylor expansion of K in n 15.411 * [backup-simplify]: Simplify K into K 15.411 * [backup-simplify]: Simplify (* m K) into (* m K) 15.411 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 15.411 * [taylor]: Taking taylor expansion of 1/2 in n 15.411 * [backup-simplify]: Simplify 1/2 into 1/2 15.411 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 15.411 * [taylor]: Taking taylor expansion of (* K n) in n 15.412 * [taylor]: Taking taylor expansion of K in n 15.412 * [backup-simplify]: Simplify K into K 15.412 * [taylor]: Taking taylor expansion of n in n 15.412 * [backup-simplify]: Simplify 0 into 0 15.412 * [backup-simplify]: Simplify 1 into 1 15.412 * [backup-simplify]: Simplify (* K 0) into 0 15.412 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 15.412 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 15.412 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 15.412 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 15.413 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 15.413 * [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)))))) 15.413 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 15.413 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 15.413 * [taylor]: Taking taylor expansion of (/ 1 M) in K 15.413 * [taylor]: Taking taylor expansion of M in K 15.413 * [backup-simplify]: Simplify M into M 15.413 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 15.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 15.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 15.413 * [taylor]: Taking taylor expansion of 1/2 in K 15.413 * [backup-simplify]: Simplify 1/2 into 1/2 15.413 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 15.413 * [taylor]: Taking taylor expansion of (* m K) in K 15.413 * [taylor]: Taking taylor expansion of m in K 15.413 * [backup-simplify]: Simplify m into m 15.413 * [taylor]: Taking taylor expansion of K in K 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 1 into 1 15.413 * [backup-simplify]: Simplify (* m 0) into 0 15.414 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 15.414 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 15.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 15.414 * [taylor]: Taking taylor expansion of 1/2 in K 15.414 * [backup-simplify]: Simplify 1/2 into 1/2 15.414 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 15.414 * [taylor]: Taking taylor expansion of (* K n) in K 15.414 * [taylor]: Taking taylor expansion of K in K 15.414 * [backup-simplify]: Simplify 0 into 0 15.414 * [backup-simplify]: Simplify 1 into 1 15.414 * [taylor]: Taking taylor expansion of n in K 15.415 * [backup-simplify]: Simplify n into n 15.415 * [backup-simplify]: Simplify (* 0 n) into 0 15.415 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 15.415 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.415 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 15.415 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 15.415 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.416 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 15.416 * [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)))))) 15.416 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 15.416 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 15.416 * [taylor]: Taking taylor expansion of (/ 1 M) in M 15.416 * [taylor]: Taking taylor expansion of M in M 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [backup-simplify]: Simplify 1 into 1 15.417 * [backup-simplify]: Simplify (/ 1 1) into 1 15.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 15.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 15.417 * [taylor]: Taking taylor expansion of 1/2 in M 15.417 * [backup-simplify]: Simplify 1/2 into 1/2 15.417 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 15.417 * [taylor]: Taking taylor expansion of (* m K) in M 15.417 * [taylor]: Taking taylor expansion of m in M 15.417 * [backup-simplify]: Simplify m into m 15.417 * [taylor]: Taking taylor expansion of K in M 15.417 * [backup-simplify]: Simplify K into K 15.417 * [backup-simplify]: Simplify (* m K) into (* m K) 15.417 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 15.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 15.417 * [taylor]: Taking taylor expansion of 1/2 in M 15.417 * [backup-simplify]: Simplify 1/2 into 1/2 15.417 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 15.417 * [taylor]: Taking taylor expansion of (* K n) in M 15.417 * [taylor]: Taking taylor expansion of K in M 15.417 * [backup-simplify]: Simplify K into K 15.417 * [taylor]: Taking taylor expansion of n in M 15.417 * [backup-simplify]: Simplify n into n 15.417 * [backup-simplify]: Simplify (* K n) into (* K n) 15.417 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 15.418 * [backup-simplify]: Simplify (+ 1 0) into 1 15.418 * [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)))))) 15.419 * [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)))))) 15.419 * [taylor]: Taking taylor expansion of 0 in n 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in K 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in M 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in K 15.419 * [backup-simplify]: Simplify 0 into 0 15.419 * [taylor]: Taking taylor expansion of 0 in M 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [taylor]: Taking taylor expansion of 0 in M 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [taylor]: Taking taylor expansion of 0 in n 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [taylor]: Taking taylor expansion of 0 in K 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [taylor]: Taking taylor expansion of 0 in M 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [taylor]: Taking taylor expansion of 0 in K 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [taylor]: Taking taylor expansion of 0 in M 15.420 * [backup-simplify]: Simplify 0 into 0 15.420 * [backup-simplify]: Simplify 0 into 0 15.421 * [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)) 15.421 * * * [progress]: simplifying candidates 15.421 * * * * [progress]: [ 1 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 2 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 3 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 4 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (pow (cos (- (/ (* (+ m n) K) 2) M)) 1))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 5 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (exp (log (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 6 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (log (exp (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 7 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.421 * * * * [progress]: [ 8 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cbrt (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 9 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 10 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (* 1 (cos (- (/ (* (+ m n) K) 2) M))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 11 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 12 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 13 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 14 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 15 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (pow (cos (- (/ (* (+ m n) K) 2) M)) 1))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 16 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (exp (log (cos (- (/ (* (+ m n) K) 2) M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 17 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (log (exp (cos (- (/ (* (+ m n) K) 2) M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 18 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (* (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.422 * * * * [progress]: [ 19 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cbrt (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 20 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (* (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 21 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (* 1 (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 22 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 23 / 54 ] simplifiying candidate #real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 24 / 54 ] simplifiying candidate #real (real->posit16 (- (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 25 / 54 ] simplifiying candidate #real (real->posit16 (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 26 / 54 ] simplifiying candidate #real (real->posit16 (pow (cos (- (/ (* (+ m n) K) 2) M)) 1)))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 27 / 54 ] simplifiying candidate #real (real->posit16 (exp (log (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 28 / 54 ] simplifiying candidate #real (real->posit16 (log (exp (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 29 / 54 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 30 / 54 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.423 * * * * [progress]: [ 31 / 54 ] simplifiying candidate #real (real->posit16 (* (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 32 / 54 ] simplifiying candidate #real (real->posit16 (* 1 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 33 / 54 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 34 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (pow (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) 1))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 35 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (exp (log (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 36 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (log (exp (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 37 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (* (* (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 38 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (cbrt (* (* (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 39 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (* (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 40 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (* 1 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 41 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.424 * * * * [progress]: [ 42 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 43 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 1)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 44 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 45 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 46 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 1)))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 47 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 48 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 49 / 54 ] simplifiying candidate #real (real->posit16 1))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 50 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 51 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 52 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt 1)) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 53 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.425 * * * * [progress]: [ 54 / 54 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))> 15.427 * [simplify]: Simplifying: (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (log (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (exp (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (* (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (* (* (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (sqrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (real->posit16 (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 15.428 * * [simplify]: iteration 1: (47 enodes) 15.443 * * [simplify]: iteration 2: (75 enodes) 15.463 * * [simplify]: iteration 3: (100 enodes) 15.489 * * [simplify]: iteration 4: (122 enodes) 15.521 * * [simplify]: iteration 5: (140 enodes) 15.562 * * [simplify]: iteration 6: (190 enodes) 15.618 * * [simplify]: iteration 7: (277 enodes) 15.708 * * [simplify]: iteration 8: (437 enodes) 15.846 * * [simplify]: iteration 9: (766 enodes) 16.285 * * [simplify]: iteration 10: (1836 enodes) 21.639 * * [simplify]: Extracting #0: cost 12 inf + 0 21.639 * * [simplify]: Extracting #1: cost 161 inf + 1 21.647 * * [simplify]: Extracting #2: cost 916 inf + 4 21.657 * * [simplify]: Extracting #3: cost 967 inf + 281 21.675 * * [simplify]: Extracting #4: cost 964 inf + 1112 21.690 * * [simplify]: Extracting #5: cost 897 inf + 10011 21.721 * * [simplify]: Extracting #6: cost 804 inf + 77650 21.868 * * [simplify]: Extracting #7: cost 238 inf + 705801 22.111 * * [simplify]: Extracting #8: cost 1 inf + 985486 22.307 * * [simplify]: Extracting #9: cost 0 inf + 983557 22.542 * * [simplify]: Extracting #10: cost 0 inf + 983375 22.743 * [simplify]: Simplified to: (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (* (/ K 2) (+ n m))) (sin M)) (log (cos (- (* (/ K 2) (+ n m)) M))) (exp (cos (- (* (/ K 2) (+ n m)) M))) (* (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (cbrt (cos (- (* (/ K 2) (+ n m)) M)))) (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (* (* (cos (- (* (/ K 2) (+ n m)) M)) (cos (- (* (/ K 2) (+ n m)) M))) (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (real->posit16 (cos (- (* (/ K 2) (+ n m)) M))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (* (/ K 2) (+ n m))) (sin M)) (log (cos (- (* (/ K 2) (+ n m)) M))) (exp (cos (- (* (/ K 2) (+ n m)) M))) (* (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (cbrt (cos (- (* (/ K 2) (+ n m)) M)))) (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (* (* (cos (- (* (/ K 2) (+ n m)) M)) (cos (- (* (/ K 2) (+ n m)) M))) (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (real->posit16 (cos (- (* (/ K 2) (+ n m)) M))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (- M)) (sin (* (/ K 2) (+ n m)))) (* (cos (* (/ K 2) (+ n m))) (cos M)) (* (sin (* (/ K 2) (+ n m))) (sin M)) (log (cos (- (* (/ K 2) (+ n m)) M))) (exp (cos (- (* (/ K 2) (+ n m)) M))) (* (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (cbrt (cos (- (* (/ K 2) (+ n m)) M)))) (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (* (* (cos (- (* (/ K 2) (+ n m)) M)) (cos (- (* (/ K 2) (+ n m)) M))) (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (real->posit16 (cos (- (* (/ K 2) (+ n m)) M))) (log (cos (- (* (/ K 2) (+ n m)) M))) (exp (cos (- (* (/ K 2) (+ n m)) M))) (* (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (cbrt (cos (- (* (/ K 2) (+ n m)) M)))) (cbrt (cos (- (* (/ K 2) (+ n m)) M))) (* (* (cos (- (* (/ K 2) (+ n m)) M)) (cos (- (* (/ K 2) (+ n m)) M))) (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (sqrt (cos (- (* (/ K 2) (+ n m)) M))) (real->posit16 (cos (- (* (/ K 2) (+ n m)) M))) 1 (cos (- (* 1/2 (* (+ n m) K)) M)) (cos (- (* 1/2 (* (+ n m) K)) M)) 1 (cos (- (* 1/2 (* (+ n m) K)) M)) (cos (- (* 1/2 (* (+ n m) K)) M)) 1 (cos (- (* 1/2 (* (+ n m) K)) M)) (cos (- (* 1/2 (* (+ n m) K)) M)) 1 (cos (- (* 1/2 (* (+ n m) K)) M)) (cos (- (* 1/2 (* (+ n m) K)) M)) 22.753 * * * [progress]: adding candidates to table 25.182 * [progress]: [Phase 3 of 3] Extracting. 25.182 * * [regime]: Finding splitpoints for: (# # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))>) 25.185 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 25.185 * * * * [regimes]: Trying to branch on l from (# # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))>) 25.243 * * * * [regimes]: Trying to branch on M from (# # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))>) 25.298 * * * * [regimes]: Trying to branch on n from (# # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))>) 25.358 * * * * [regimes]: Trying to branch on m from (# # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))>) 25.406 * * * * [regimes]: Trying to branch on K from (# # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))))) (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))>) 25.470 * * * [regime]: Found split indices: #