54.919 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.115 * * * [progress]: [2/2] Setting up program. 0.126 * [progress]: [Phase 2 of 3] Improving. 0.126 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.126 * [simplify]: Simplifying: (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.127 * * [simplify]: iteration 1: (21 enodes) 0.135 * * [simplify]: iteration 2: (51 enodes) 0.176 * * [simplify]: iteration 3: (100 enodes) 0.196 * * [simplify]: iteration 4: (248 enodes) 0.276 * * [simplify]: iteration 5: (776 enodes) 0.881 * * [simplify]: Extracting #0: cost 1 inf + 0 0.881 * * [simplify]: Extracting #1: cost 85 inf + 0 0.883 * * [simplify]: Extracting #2: cost 371 inf + 1 0.887 * * [simplify]: Extracting #3: cost 592 inf + 226 0.892 * * [simplify]: Extracting #4: cost 669 inf + 1777 0.901 * * [simplify]: Extracting #5: cost 521 inf + 45092 0.941 * * [simplify]: Extracting #6: cost 111 inf + 197672 1.038 * * [simplify]: Extracting #7: cost 1 inf + 247731 1.118 * * [simplify]: Extracting #8: cost 0 inf + 248098 1.184 * [simplify]: Simplified to: (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))) 1.196 * * [progress]: iteration 1 / 4 1.196 * * * [progress]: picking best candidate 1.201 * * * * [pick]: Picked # 1.201 * * * [progress]: localizing error 1.275 * * * [progress]: generating rewritten candidates 1.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.306 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.333 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.590 * * * [progress]: generating series expansions 1.590 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.590 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.590 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 1.590 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.590 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.590 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.590 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.590 * [taylor]: Taking taylor expansion of 1/2 in M 1.590 * [backup-simplify]: Simplify 1/2 into 1/2 1.590 * [taylor]: Taking taylor expansion of (* K n) in M 1.590 * [taylor]: Taking taylor expansion of K in M 1.590 * [backup-simplify]: Simplify K into K 1.590 * [taylor]: Taking taylor expansion of n in M 1.590 * [backup-simplify]: Simplify n into n 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.591 * [taylor]: Taking taylor expansion of 1/2 in M 1.591 * [backup-simplify]: Simplify 1/2 into 1/2 1.591 * [taylor]: Taking taylor expansion of (* K m) in M 1.591 * [taylor]: Taking taylor expansion of K in M 1.591 * [backup-simplify]: Simplify K into K 1.591 * [taylor]: Taking taylor expansion of m in M 1.591 * [backup-simplify]: Simplify m into 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 1.591 * [backup-simplify]: Simplify (* K n) into (* K n) 1.591 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.591 * [backup-simplify]: Simplify (* K m) into (* K m) 1.591 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.591 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.592 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.593 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.593 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.593 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.593 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.593 * [taylor]: Taking taylor expansion of 1/2 in K 1.593 * [backup-simplify]: Simplify 1/2 into 1/2 1.593 * [taylor]: Taking taylor expansion of (* K n) in K 1.593 * [taylor]: Taking taylor expansion of K in K 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of n in K 1.593 * [backup-simplify]: Simplify n into n 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.593 * [taylor]: Taking taylor expansion of 1/2 in K 1.593 * [backup-simplify]: Simplify 1/2 into 1/2 1.593 * [taylor]: Taking taylor expansion of (* K m) in K 1.593 * [taylor]: Taking taylor expansion of K in K 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of m in K 1.593 * [backup-simplify]: Simplify m into m 1.593 * [taylor]: Taking taylor expansion of M in K 1.593 * [backup-simplify]: Simplify M into M 1.593 * [backup-simplify]: Simplify (* 0 n) into 0 1.594 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.594 * [backup-simplify]: Simplify (* 0 m) into 0 1.594 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (- M) into (- M) 1.595 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.595 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.595 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.595 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.595 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.595 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.595 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.595 * [taylor]: Taking taylor expansion of 1/2 in n 1.595 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.595 * [taylor]: Taking taylor expansion of 1/2 in n 1.595 * [backup-simplify]: Simplify 1/2 into 1/2 1.595 * [taylor]: Taking taylor expansion of (* K m) 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 m in n 1.595 * [backup-simplify]: Simplify m into m 1.595 * [taylor]: Taking taylor expansion of M in n 1.596 * [backup-simplify]: Simplify M into M 1.596 * [backup-simplify]: Simplify (* K 0) into 0 1.596 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.596 * [backup-simplify]: Simplify (* K m) into (* K m) 1.596 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.596 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.596 * [backup-simplify]: Simplify (- M) into (- M) 1.597 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.597 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.597 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.597 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.597 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.597 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.597 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.597 * [taylor]: Taking taylor expansion of 1/2 in m 1.597 * [backup-simplify]: Simplify 1/2 into 1/2 1.597 * [taylor]: Taking taylor expansion of (* K n) in m 1.597 * [taylor]: Taking taylor expansion of K in m 1.597 * [backup-simplify]: Simplify K into K 1.597 * [taylor]: Taking taylor expansion of n in m 1.597 * [backup-simplify]: Simplify n into n 1.597 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.597 * [taylor]: Taking taylor expansion of 1/2 in m 1.597 * [backup-simplify]: Simplify 1/2 into 1/2 1.597 * [taylor]: Taking taylor expansion of (* K m) in m 1.597 * [taylor]: Taking taylor expansion of K in m 1.597 * [backup-simplify]: Simplify K into K 1.597 * [taylor]: Taking taylor expansion of m in m 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of M in m 1.597 * [backup-simplify]: Simplify M into M 1.597 * [backup-simplify]: Simplify (* K n) into (* K n) 1.598 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.598 * [backup-simplify]: Simplify (* K 0) into 0 1.598 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.598 * [backup-simplify]: Simplify (- M) into (- M) 1.598 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.598 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.599 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.599 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.599 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.599 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.599 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.599 * [taylor]: Taking taylor expansion of 1/2 in m 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of (* K n) in m 1.599 * [taylor]: Taking taylor expansion of K in m 1.599 * [backup-simplify]: Simplify K into K 1.599 * [taylor]: Taking taylor expansion of n in m 1.599 * [backup-simplify]: Simplify n into n 1.599 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.599 * [taylor]: Taking taylor expansion of 1/2 in m 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of (* K m) in m 1.599 * [taylor]: Taking taylor expansion of K in m 1.599 * [backup-simplify]: Simplify K into K 1.599 * [taylor]: Taking taylor expansion of m in m 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of M in m 1.599 * [backup-simplify]: Simplify M into M 1.599 * [backup-simplify]: Simplify (* K n) into (* K n) 1.599 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.599 * [backup-simplify]: Simplify (* K 0) into 0 1.600 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.600 * [backup-simplify]: Simplify (- M) into (- M) 1.600 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.600 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.600 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.601 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 1.601 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 1.601 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.601 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.602 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.602 * [taylor]: Taking taylor expansion of 1/2 in n 1.602 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (* K n) in n 1.602 * [taylor]: Taking taylor expansion of K in n 1.602 * [backup-simplify]: Simplify K into K 1.602 * [taylor]: Taking taylor expansion of n in n 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [taylor]: Taking taylor expansion of M in n 1.602 * [backup-simplify]: Simplify M into M 1.602 * [backup-simplify]: Simplify (* K 0) into 0 1.602 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.602 * [backup-simplify]: Simplify (- M) into (- M) 1.602 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.602 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.603 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.603 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.603 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.603 * [backup-simplify]: Simplify (- 0) into 0 1.603 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.603 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.603 * [taylor]: Taking taylor expansion of (- M) in K 1.603 * [taylor]: Taking taylor expansion of M in K 1.603 * [backup-simplify]: Simplify M into M 1.603 * [backup-simplify]: Simplify (- M) into (- M) 1.603 * [backup-simplify]: Simplify (- M) into (- M) 1.603 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.603 * [backup-simplify]: Simplify (- M) into (- M) 1.604 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.604 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.604 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.604 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.604 * [taylor]: Taking taylor expansion of (- M) in M 1.604 * [taylor]: Taking taylor expansion of M in M 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify (- 1) into -1 1.605 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (+ 0) into 0 1.606 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.607 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.608 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.608 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.609 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 1.609 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.609 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.610 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 1.610 * [taylor]: Taking taylor expansion of 1/2 in n 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 1.610 * [taylor]: Taking taylor expansion of K in n 1.610 * [backup-simplify]: Simplify K into K 1.610 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 1.610 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.610 * [taylor]: Taking taylor expansion of 1/2 in n 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of (* K n) in n 1.610 * [taylor]: Taking taylor expansion of K in n 1.610 * [backup-simplify]: Simplify K into K 1.610 * [taylor]: Taking taylor expansion of n in n 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [taylor]: Taking taylor expansion of M in n 1.610 * [backup-simplify]: Simplify M into M 1.610 * [backup-simplify]: Simplify (* K 0) into 0 1.611 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.611 * [backup-simplify]: Simplify (- M) into (- M) 1.611 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.611 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.611 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.611 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.611 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.611 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.611 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 1.611 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 1.611 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.611 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.611 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.611 * [taylor]: Taking taylor expansion of 1/2 in K 1.611 * [backup-simplify]: Simplify 1/2 into 1/2 1.612 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.612 * [taylor]: Taking taylor expansion of K in K 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.612 * [taylor]: Taking taylor expansion of (- M) in K 1.612 * [taylor]: Taking taylor expansion of M in K 1.612 * [backup-simplify]: Simplify M into M 1.612 * [backup-simplify]: Simplify (- M) into (- M) 1.612 * [backup-simplify]: Simplify (- M) into (- M) 1.612 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.612 * [backup-simplify]: Simplify (- M) into (- M) 1.612 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.612 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.612 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.612 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.612 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.613 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [taylor]: Taking taylor expansion of 0 in M 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (+ 0) into 0 1.614 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.615 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.616 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 1.617 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.617 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 1.617 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.617 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.617 * [taylor]: Taking taylor expansion of 1/2 in K 1.617 * [backup-simplify]: Simplify 1/2 into 1/2 1.617 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.617 * [taylor]: Taking taylor expansion of K in K 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.617 * [taylor]: Taking taylor expansion of (- M) in K 1.617 * [taylor]: Taking taylor expansion of M in K 1.617 * [backup-simplify]: Simplify M into M 1.617 * [backup-simplify]: Simplify (- M) into (- M) 1.617 * [backup-simplify]: Simplify (- M) into (- M) 1.617 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.617 * [backup-simplify]: Simplify (- M) into (- M) 1.617 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.617 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.618 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.618 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.618 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.618 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [taylor]: Taking taylor expansion of 0 in M 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.621 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [taylor]: Taking taylor expansion of 0 in M 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ 0) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.624 * [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))))) 1.624 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [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))))) 1.630 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 1.630 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 1.630 * [taylor]: Taking taylor expansion of 1/8 in n 1.630 * [backup-simplify]: Simplify 1/8 into 1/8 1.630 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 1.630 * [taylor]: Taking taylor expansion of (pow K 2) 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 (cos (- (* 1/2 (* K n)) M)) in n 1.630 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) 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 M in n 1.631 * [backup-simplify]: Simplify M into M 1.631 * [backup-simplify]: Simplify (* K 0) into 0 1.631 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.631 * [backup-simplify]: Simplify (- M) into (- M) 1.631 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.631 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.631 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.631 * [backup-simplify]: Simplify (* K K) into (pow K 2) 1.631 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.632 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.632 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 1.632 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 1.632 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.632 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.632 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.633 * [taylor]: Taking taylor expansion of 1/8 in K 1.633 * [backup-simplify]: Simplify 1/8 into 1/8 1.633 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.633 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.633 * [taylor]: Taking taylor expansion of K in K 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.633 * [taylor]: Taking taylor expansion of (- M) in K 1.633 * [taylor]: Taking taylor expansion of M in K 1.633 * [backup-simplify]: Simplify M into M 1.633 * [backup-simplify]: Simplify (- M) into (- M) 1.633 * [backup-simplify]: Simplify (- M) into (- M) 1.633 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.633 * [backup-simplify]: Simplify (- M) into (- M) 1.633 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.634 * [backup-simplify]: Simplify (+ 0) into 0 1.634 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.635 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.636 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 1.636 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 1.636 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 1.637 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 1.637 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 1.637 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 1.637 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 1.637 * [taylor]: Taking taylor expansion of 1/4 in K 1.637 * [backup-simplify]: Simplify 1/4 into 1/4 1.637 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.637 * [taylor]: Taking taylor expansion of (pow K 2) in K 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 1.637 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.637 * [taylor]: Taking taylor expansion of (- M) in K 1.637 * [taylor]: Taking taylor expansion of M in K 1.637 * [backup-simplify]: Simplify M into M 1.637 * [backup-simplify]: Simplify (- M) into (- M) 1.637 * [backup-simplify]: Simplify (- M) into (- M) 1.637 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.637 * [backup-simplify]: Simplify (- M) into (- M) 1.637 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.639 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.639 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.642 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.642 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.643 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.643 * [taylor]: Taking taylor expansion of 1/8 in K 1.643 * [backup-simplify]: Simplify 1/8 into 1/8 1.643 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.643 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.643 * [taylor]: Taking taylor expansion of K in K 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.643 * [taylor]: Taking taylor expansion of (- M) in K 1.643 * [taylor]: Taking taylor expansion of M in K 1.643 * [backup-simplify]: Simplify M into M 1.643 * [backup-simplify]: Simplify (- M) into (- M) 1.643 * [backup-simplify]: Simplify (- M) into (- M) 1.643 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.643 * [backup-simplify]: Simplify (- M) into (- M) 1.643 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.643 * [backup-simplify]: Simplify (+ 0) into 0 1.644 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.645 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.646 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.647 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.647 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.647 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.647 * [taylor]: Taking taylor expansion of 1/2 in M 1.647 * [backup-simplify]: Simplify 1/2 into 1/2 1.647 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.647 * [taylor]: Taking taylor expansion of (- M) in M 1.647 * [taylor]: Taking taylor expansion of M in M 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (- 1) into -1 1.648 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (+ 0) into 0 1.649 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- 0) into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.651 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.652 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.652 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.652 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) 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 (sin (- M)) in M 1.652 * [taylor]: Taking taylor expansion of (- M) in M 1.652 * [taylor]: Taking taylor expansion of M in M 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (- 1) into -1 1.654 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.654 * [backup-simplify]: Simplify (- 0) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.655 * [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))) 1.655 * [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 1.655 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.655 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.655 * [taylor]: Taking taylor expansion of 1/2 in M 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.655 * [taylor]: Taking taylor expansion of (* m K) in M 1.655 * [taylor]: Taking taylor expansion of m in M 1.655 * [backup-simplify]: Simplify m into m 1.655 * [taylor]: Taking taylor expansion of K in M 1.655 * [backup-simplify]: Simplify K into K 1.655 * [backup-simplify]: Simplify (* m K) into (* m K) 1.655 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.655 * [taylor]: Taking taylor expansion of 1/2 in M 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.655 * [taylor]: Taking taylor expansion of (* K n) in M 1.655 * [taylor]: Taking taylor expansion of K in M 1.655 * [backup-simplify]: Simplify K into K 1.655 * [taylor]: Taking taylor expansion of n in M 1.655 * [backup-simplify]: Simplify n into n 1.655 * [backup-simplify]: Simplify (* K n) into (* K n) 1.655 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.655 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.655 * [taylor]: Taking taylor expansion of M in M 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (/ 1 1) into 1 1.656 * [backup-simplify]: Simplify (- 1) into -1 1.657 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.657 * [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))) 1.657 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.657 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.657 * [taylor]: Taking taylor expansion of 1/2 in K 1.657 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.657 * [taylor]: Taking taylor expansion of (* m K) in K 1.657 * [taylor]: Taking taylor expansion of m in K 1.657 * [backup-simplify]: Simplify m into m 1.657 * [taylor]: Taking taylor expansion of K in K 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (* m 0) into 0 1.658 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.658 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.658 * [taylor]: Taking taylor expansion of 1/2 in K 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.658 * [taylor]: Taking taylor expansion of (* K n) in K 1.658 * [taylor]: Taking taylor expansion of K in K 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of n in K 1.658 * [backup-simplify]: Simplify n into n 1.658 * [backup-simplify]: Simplify (* 0 n) into 0 1.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.659 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.659 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.659 * [taylor]: Taking taylor expansion of M in K 1.659 * [backup-simplify]: Simplify M into M 1.659 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.659 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.659 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.659 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.659 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.660 * [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))) 1.660 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.660 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m 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 (* m K)) in n 1.660 * [taylor]: Taking taylor expansion of (* m K) in n 1.660 * [taylor]: Taking taylor expansion of m in n 1.660 * [backup-simplify]: Simplify m into m 1.660 * [taylor]: Taking taylor expansion of K in n 1.660 * [backup-simplify]: Simplify K into K 1.660 * [backup-simplify]: Simplify (* m K) into (* m K) 1.660 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) 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 n)) in n 1.660 * [taylor]: Taking taylor expansion of (* K n) in n 1.660 * [taylor]: Taking taylor expansion of K in n 1.660 * [backup-simplify]: Simplify K into K 1.660 * [taylor]: Taking taylor expansion of n in n 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (* K 0) into 0 1.661 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.661 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.661 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.661 * [taylor]: Taking taylor expansion of M in n 1.661 * [backup-simplify]: Simplify M into M 1.661 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.661 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.661 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.661 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.662 * [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))) 1.662 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.662 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.662 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.662 * [taylor]: Taking taylor expansion of 1/2 in m 1.662 * [backup-simplify]: Simplify 1/2 into 1/2 1.662 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.662 * [taylor]: Taking taylor expansion of (* m K) in m 1.662 * [taylor]: Taking taylor expansion of m in m 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of K in m 1.662 * [backup-simplify]: Simplify K into K 1.662 * [backup-simplify]: Simplify (* 0 K) into 0 1.662 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.662 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.663 * [taylor]: Taking taylor expansion of 1/2 in m 1.663 * [backup-simplify]: Simplify 1/2 into 1/2 1.663 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.663 * [taylor]: Taking taylor expansion of (* K n) in m 1.663 * [taylor]: Taking taylor expansion of K in m 1.663 * [backup-simplify]: Simplify K into K 1.663 * [taylor]: Taking taylor expansion of n in m 1.663 * [backup-simplify]: Simplify n into n 1.663 * [backup-simplify]: Simplify (* K n) into (* K n) 1.663 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.663 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.663 * [taylor]: Taking taylor expansion of M in m 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 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.663 * [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))) 1.663 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.663 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.663 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.663 * [taylor]: Taking taylor expansion of 1/2 in m 1.663 * [backup-simplify]: Simplify 1/2 into 1/2 1.663 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.663 * [taylor]: Taking taylor expansion of (* m K) in m 1.663 * [taylor]: Taking taylor expansion of m in m 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [taylor]: Taking taylor expansion of K in m 1.663 * [backup-simplify]: Simplify K into K 1.663 * [backup-simplify]: Simplify (* 0 K) into 0 1.664 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.664 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.664 * [taylor]: Taking taylor expansion of 1/2 in m 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.664 * [taylor]: Taking taylor expansion of (* K n) in m 1.664 * [taylor]: Taking taylor expansion of K in m 1.664 * [backup-simplify]: Simplify K into K 1.664 * [taylor]: Taking taylor expansion of n in m 1.664 * [backup-simplify]: Simplify n into n 1.664 * [backup-simplify]: Simplify (* K n) into (* K n) 1.664 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.664 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.664 * [taylor]: Taking taylor expansion of M in m 1.664 * [backup-simplify]: Simplify M into M 1.664 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.664 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.664 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.664 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.664 * [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))) 1.664 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.664 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.664 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.664 * [taylor]: Taking taylor expansion of 1/2 in n 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.664 * [taylor]: Taking taylor expansion of (* m K) in n 1.664 * [taylor]: Taking taylor expansion of m in n 1.665 * [backup-simplify]: Simplify m into m 1.665 * [taylor]: Taking taylor expansion of K in n 1.665 * [backup-simplify]: Simplify K into K 1.665 * [backup-simplify]: Simplify (* m K) into (* m K) 1.665 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.665 * [taylor]: Taking taylor expansion of 1/2 in n 1.665 * [backup-simplify]: Simplify 1/2 into 1/2 1.665 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.665 * [taylor]: Taking taylor expansion of (* K n) in n 1.665 * [taylor]: Taking taylor expansion of K in n 1.665 * [backup-simplify]: Simplify K into K 1.665 * [taylor]: Taking taylor expansion of n in n 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.665 * [backup-simplify]: Simplify (* K 0) into 0 1.665 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.665 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.665 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.665 * [taylor]: Taking taylor expansion of M in n 1.665 * [backup-simplify]: Simplify M into M 1.665 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.665 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.665 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.665 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.665 * [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))) 1.666 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.666 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.666 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.666 * [taylor]: Taking taylor expansion of 1/2 in K 1.666 * [backup-simplify]: Simplify 1/2 into 1/2 1.666 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.666 * [taylor]: Taking taylor expansion of (* m K) in K 1.666 * [taylor]: Taking taylor expansion of m in K 1.666 * [backup-simplify]: Simplify m into m 1.666 * [taylor]: Taking taylor expansion of K in K 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* m 0) into 0 1.666 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.666 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.666 * [taylor]: Taking taylor expansion of 1/2 in K 1.666 * [backup-simplify]: Simplify 1/2 into 1/2 1.666 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.666 * [taylor]: Taking taylor expansion of (* K n) in K 1.666 * [taylor]: Taking taylor expansion of K in K 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of n in K 1.666 * [backup-simplify]: Simplify n into n 1.666 * [backup-simplify]: Simplify (* 0 n) into 0 1.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.667 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.667 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.667 * [taylor]: Taking taylor expansion of M in K 1.667 * [backup-simplify]: Simplify M into M 1.667 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.667 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.667 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.667 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.667 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.667 * [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))) 1.667 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.667 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.667 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.667 * [taylor]: Taking taylor expansion of 1/2 in M 1.667 * [backup-simplify]: Simplify 1/2 into 1/2 1.667 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.667 * [taylor]: Taking taylor expansion of (* m K) in M 1.667 * [taylor]: Taking taylor expansion of m in M 1.667 * [backup-simplify]: Simplify m into m 1.667 * [taylor]: Taking taylor expansion of K in M 1.667 * [backup-simplify]: Simplify K into K 1.667 * [backup-simplify]: Simplify (* m K) into (* m K) 1.667 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.667 * [taylor]: Taking taylor expansion of 1/2 in M 1.667 * [backup-simplify]: Simplify 1/2 into 1/2 1.667 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.667 * [taylor]: Taking taylor expansion of (* K n) in M 1.667 * [taylor]: Taking taylor expansion of K in M 1.667 * [backup-simplify]: Simplify K into K 1.667 * [taylor]: Taking taylor expansion of n in M 1.667 * [backup-simplify]: Simplify n into n 1.667 * [backup-simplify]: Simplify (* K n) into (* K n) 1.667 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.667 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.668 * [taylor]: Taking taylor expansion of M in M 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [backup-simplify]: Simplify (- 1) into -1 1.668 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.669 * [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))) 1.669 * [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))) 1.669 * [taylor]: Taking taylor expansion of 0 in n 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in K 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in M 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in K 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in M 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in M 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in n 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in K 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in M 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in K 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [taylor]: Taking taylor expansion of 0 in M 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [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)) 1.670 * [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)))))) 1.670 * [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 1.670 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.670 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.670 * [taylor]: Taking taylor expansion of M in M 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (/ 1 1) into 1 1.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.670 * [taylor]: Taking taylor expansion of 1/2 in M 1.670 * [backup-simplify]: Simplify 1/2 into 1/2 1.670 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.670 * [taylor]: Taking taylor expansion of (* m K) in M 1.670 * [taylor]: Taking taylor expansion of m in M 1.670 * [backup-simplify]: Simplify m into m 1.670 * [taylor]: Taking taylor expansion of K in M 1.670 * [backup-simplify]: Simplify K into K 1.670 * [backup-simplify]: Simplify (* m K) into (* m K) 1.670 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.670 * [taylor]: Taking taylor expansion of 1/2 in M 1.670 * [backup-simplify]: Simplify 1/2 into 1/2 1.670 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.670 * [taylor]: Taking taylor expansion of (* K n) in M 1.670 * [taylor]: Taking taylor expansion of K in M 1.670 * [backup-simplify]: Simplify K into K 1.670 * [taylor]: Taking taylor expansion of n in M 1.670 * [backup-simplify]: Simplify n into n 1.670 * [backup-simplify]: Simplify (* K n) into (* K n) 1.671 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.671 * [backup-simplify]: Simplify (+ 1 0) into 1 1.671 * [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)))))) 1.671 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 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) 1.671 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.671 * [taylor]: Taking taylor expansion of 1/2 in K 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.671 * [taylor]: Taking taylor expansion of (* m K) in K 1.671 * [taylor]: Taking taylor expansion of m in K 1.671 * [backup-simplify]: Simplify m into m 1.671 * [taylor]: Taking taylor expansion of K in K 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* m 0) into 0 1.672 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.672 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.672 * [taylor]: Taking taylor expansion of 1/2 in K 1.672 * [backup-simplify]: Simplify 1/2 into 1/2 1.672 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.672 * [taylor]: Taking taylor expansion of (* K n) in K 1.672 * [taylor]: Taking taylor expansion of K in K 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of n in K 1.672 * [backup-simplify]: Simplify n into n 1.672 * [backup-simplify]: Simplify (* 0 n) into 0 1.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.672 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.672 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.672 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.672 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.672 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.673 * [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)))))) 1.673 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.673 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.673 * [taylor]: Taking taylor expansion of M in n 1.673 * [backup-simplify]: Simplify M into M 1.673 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.673 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.673 * [taylor]: Taking taylor expansion of 1/2 in n 1.673 * [backup-simplify]: Simplify 1/2 into 1/2 1.673 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.673 * [taylor]: Taking taylor expansion of (* m K) in n 1.673 * [taylor]: Taking taylor expansion of m in n 1.673 * [backup-simplify]: Simplify m into m 1.673 * [taylor]: Taking taylor expansion of K in n 1.673 * [backup-simplify]: Simplify K into K 1.673 * [backup-simplify]: Simplify (* m K) into (* m K) 1.673 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.673 * [taylor]: Taking taylor expansion of 1/2 in n 1.673 * [backup-simplify]: Simplify 1/2 into 1/2 1.673 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.673 * [taylor]: Taking taylor expansion of (* K n) in n 1.673 * [taylor]: Taking taylor expansion of K in n 1.673 * [backup-simplify]: Simplify K into K 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (* K 0) into 0 1.673 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.673 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.673 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.673 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.673 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.674 * [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)))))) 1.674 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.674 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.674 * [taylor]: Taking taylor expansion of M in m 1.674 * [backup-simplify]: Simplify M into M 1.674 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.674 * [taylor]: Taking taylor expansion of 1/2 in m 1.674 * [backup-simplify]: Simplify 1/2 into 1/2 1.674 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.674 * [taylor]: Taking taylor expansion of (* m K) in m 1.674 * [taylor]: Taking taylor expansion of m in m 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [taylor]: Taking taylor expansion of K in m 1.674 * [backup-simplify]: Simplify K into K 1.674 * [backup-simplify]: Simplify (* 0 K) into 0 1.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.674 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.674 * [taylor]: Taking taylor expansion of 1/2 in m 1.674 * [backup-simplify]: Simplify 1/2 into 1/2 1.674 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.674 * [taylor]: Taking taylor expansion of (* K n) in m 1.674 * [taylor]: Taking taylor expansion of K in m 1.674 * [backup-simplify]: Simplify K into K 1.674 * [taylor]: Taking taylor expansion of n in m 1.674 * [backup-simplify]: Simplify n into n 1.674 * [backup-simplify]: Simplify (* K n) into (* K n) 1.675 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.675 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.675 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.675 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.675 * [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)))))) 1.675 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.675 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.675 * [taylor]: Taking taylor expansion of M in m 1.675 * [backup-simplify]: Simplify M into M 1.675 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.675 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.675 * [taylor]: Taking taylor expansion of 1/2 in m 1.675 * [backup-simplify]: Simplify 1/2 into 1/2 1.675 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.675 * [taylor]: Taking taylor expansion of (* m K) in m 1.675 * [taylor]: Taking taylor expansion of m in m 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [taylor]: Taking taylor expansion of K in m 1.675 * [backup-simplify]: Simplify K into K 1.675 * [backup-simplify]: Simplify (* 0 K) into 0 1.675 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.675 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.675 * [taylor]: Taking taylor expansion of 1/2 in m 1.675 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.676 * [taylor]: Taking taylor expansion of (* K n) in m 1.676 * [taylor]: Taking taylor expansion of K in m 1.676 * [backup-simplify]: Simplify K into K 1.676 * [taylor]: Taking taylor expansion of n in m 1.676 * [backup-simplify]: Simplify n into n 1.676 * [backup-simplify]: Simplify (* K n) into (* K n) 1.676 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.676 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.676 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.676 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.676 * [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)))))) 1.676 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.676 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.676 * [taylor]: Taking taylor expansion of M in n 1.676 * [backup-simplify]: Simplify M into M 1.676 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.676 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.676 * [taylor]: Taking taylor expansion of 1/2 in n 1.676 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.676 * [taylor]: Taking taylor expansion of (* m K) in n 1.676 * [taylor]: Taking taylor expansion of m in n 1.676 * [backup-simplify]: Simplify m into m 1.676 * [taylor]: Taking taylor expansion of K in n 1.676 * [backup-simplify]: Simplify K into K 1.676 * [backup-simplify]: Simplify (* m K) into (* m K) 1.676 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.676 * [taylor]: Taking taylor expansion of 1/2 in n 1.676 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.676 * [taylor]: Taking taylor expansion of (* K n) in n 1.676 * [taylor]: Taking taylor expansion of K in n 1.676 * [backup-simplify]: Simplify K into K 1.676 * [taylor]: Taking taylor expansion of n in n 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (* K 0) into 0 1.677 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.677 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.677 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.677 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.677 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.677 * [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)))))) 1.677 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.677 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.677 * [taylor]: Taking taylor expansion of M in K 1.677 * [backup-simplify]: Simplify M into M 1.677 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.677 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.677 * [taylor]: Taking taylor expansion of 1/2 in K 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.677 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.677 * [taylor]: Taking taylor expansion of (* m K) in K 1.677 * [taylor]: Taking taylor expansion of m in K 1.677 * [backup-simplify]: Simplify m into m 1.677 * [taylor]: Taking taylor expansion of K in K 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (* m 0) into 0 1.678 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.678 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.678 * [taylor]: Taking taylor expansion of 1/2 in K 1.678 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.678 * [taylor]: Taking taylor expansion of (* K n) in K 1.678 * [taylor]: Taking taylor expansion of K in K 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of n in K 1.678 * [backup-simplify]: Simplify n into n 1.678 * [backup-simplify]: Simplify (* 0 n) into 0 1.678 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.678 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.678 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.678 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.679 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.679 * [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)))))) 1.679 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.679 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.679 * [taylor]: Taking taylor expansion of M in M 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.679 * [taylor]: Taking taylor expansion of 1/2 in M 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.679 * [taylor]: Taking taylor expansion of (* m K) in M 1.679 * [taylor]: Taking taylor expansion of m in M 1.679 * [backup-simplify]: Simplify m into m 1.679 * [taylor]: Taking taylor expansion of K in M 1.679 * [backup-simplify]: Simplify K into K 1.679 * [backup-simplify]: Simplify (* m K) into (* m K) 1.679 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.679 * [taylor]: Taking taylor expansion of 1/2 in M 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.679 * [taylor]: Taking taylor expansion of (* K n) in M 1.679 * [taylor]: Taking taylor expansion of K in M 1.679 * [backup-simplify]: Simplify K into K 1.679 * [taylor]: Taking taylor expansion of n in M 1.679 * [backup-simplify]: Simplify n into n 1.679 * [backup-simplify]: Simplify (* K n) into (* K n) 1.680 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.680 * [backup-simplify]: Simplify (+ 1 0) into 1 1.680 * [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)))))) 1.680 * [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)))))) 1.680 * [taylor]: Taking taylor expansion of 0 in n 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in K 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in M 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in K 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in M 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [taylor]: Taking taylor expansion of 0 in M 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [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 1.681 * [taylor]: Taking taylor expansion of 0 in M 1.681 * [backup-simplify]: Simplify 0 into 0 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 1.681 * [taylor]: Taking taylor expansion of 0 in M 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [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)) 1.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.681 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 1.681 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 1.681 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.681 * [taylor]: Taking taylor expansion of K in K 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of (+ m n) in K 1.681 * [taylor]: Taking taylor expansion of m in K 1.681 * [backup-simplify]: Simplify m into m 1.681 * [taylor]: Taking taylor expansion of n in K 1.681 * [backup-simplify]: Simplify n into n 1.681 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.681 * [taylor]: Taking taylor expansion of K in n 1.681 * [backup-simplify]: Simplify K into K 1.681 * [taylor]: Taking taylor expansion of (+ m n) in n 1.681 * [taylor]: Taking taylor expansion of m in n 1.681 * [backup-simplify]: Simplify m into m 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.681 * [taylor]: Taking taylor expansion of K in m 1.681 * [backup-simplify]: Simplify K into K 1.681 * [taylor]: Taking taylor expansion of (+ m n) in m 1.681 * [taylor]: Taking taylor expansion of m in m 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of n in m 1.681 * [backup-simplify]: Simplify n into n 1.681 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.681 * [taylor]: Taking taylor expansion of K in m 1.681 * [backup-simplify]: Simplify K into K 1.681 * [taylor]: Taking taylor expansion of (+ m n) in m 1.681 * [taylor]: Taking taylor expansion of m in m 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of n in m 1.682 * [backup-simplify]: Simplify n into n 1.682 * [backup-simplify]: Simplify (+ 0 n) into n 1.682 * [backup-simplify]: Simplify (* K n) into (* K n) 1.682 * [taylor]: Taking taylor expansion of (* K n) in n 1.682 * [taylor]: Taking taylor expansion of K in n 1.682 * [backup-simplify]: Simplify K into K 1.682 * [taylor]: Taking taylor expansion of n in n 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* K 0) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in K 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ 1 0) into 1 1.682 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 1.682 * [taylor]: Taking taylor expansion of K in n 1.682 * [backup-simplify]: Simplify K into K 1.682 * [taylor]: Taking taylor expansion of K in K 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.683 * [taylor]: Taking taylor expansion of K in K 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 1.683 * [taylor]: Taking taylor expansion of 0 in n 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [taylor]: Taking taylor expansion of 0 in K 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [taylor]: Taking taylor expansion of 0 in K 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.684 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.684 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.684 * [taylor]: Taking taylor expansion of m in K 1.684 * [backup-simplify]: Simplify m into m 1.684 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.684 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.684 * [taylor]: Taking taylor expansion of n in K 1.684 * [backup-simplify]: Simplify n into n 1.684 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.684 * [taylor]: Taking taylor expansion of K in K 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.684 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.684 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.684 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.684 * [taylor]: Taking taylor expansion of m in n 1.684 * [backup-simplify]: Simplify m into m 1.684 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.684 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.684 * [taylor]: Taking taylor expansion of n in n 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [taylor]: Taking taylor expansion of K in n 1.684 * [backup-simplify]: Simplify K into K 1.685 * [backup-simplify]: Simplify (+ 0 1) into 1 1.685 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.685 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) 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 1.685 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.685 * [taylor]: Taking taylor expansion of n in m 1.685 * [backup-simplify]: Simplify n into n 1.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.685 * [taylor]: Taking taylor expansion of K in m 1.685 * [backup-simplify]: Simplify K into K 1.685 * [backup-simplify]: Simplify (+ 1 0) into 1 1.686 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.686 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.686 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.686 * [taylor]: Taking taylor expansion of m in m 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.686 * [taylor]: Taking taylor expansion of n in m 1.686 * [backup-simplify]: Simplify n into n 1.686 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.686 * [taylor]: Taking taylor expansion of K in m 1.686 * [backup-simplify]: Simplify K into K 1.686 * [backup-simplify]: Simplify (+ 1 0) into 1 1.686 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.686 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.686 * [taylor]: Taking taylor expansion of K in n 1.686 * [backup-simplify]: Simplify K into K 1.686 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.687 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.687 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.687 * [taylor]: Taking taylor expansion of (* K n) in n 1.687 * [taylor]: Taking taylor expansion of K in n 1.687 * [backup-simplify]: Simplify K into K 1.687 * [taylor]: Taking taylor expansion of n in n 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (* K 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.688 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.688 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.688 * [taylor]: Taking taylor expansion of K in K 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.688 * [taylor]: Taking taylor expansion of K in K 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ 1 1) into 1 1.688 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.689 * [taylor]: Taking taylor expansion of 0 in n 1.689 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.690 * [taylor]: Taking taylor expansion of 0 in K 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.690 * [taylor]: Taking taylor expansion of 0 in K 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in n 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in K 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in K 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in K 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 1.694 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.694 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.695 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.695 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.695 * [taylor]: Taking taylor expansion of m in K 1.695 * [backup-simplify]: Simplify m into m 1.695 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.695 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.695 * [taylor]: Taking taylor expansion of n in K 1.695 * [backup-simplify]: Simplify n into n 1.695 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.695 * [taylor]: Taking taylor expansion of K in K 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.695 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.695 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.695 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.695 * [taylor]: Taking taylor expansion of m in n 1.695 * [backup-simplify]: Simplify m into m 1.695 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.695 * [taylor]: Taking taylor expansion of n in n 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [taylor]: Taking taylor expansion of K in n 1.696 * [backup-simplify]: Simplify K into K 1.697 * [backup-simplify]: Simplify (+ 0 1) into 1 1.697 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.697 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.697 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.697 * [taylor]: Taking taylor expansion of m in m 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.697 * [taylor]: Taking taylor expansion of n in m 1.697 * [backup-simplify]: Simplify n into n 1.697 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.697 * [taylor]: Taking taylor expansion of K in m 1.697 * [backup-simplify]: Simplify K into K 1.698 * [backup-simplify]: Simplify (+ 1 0) into 1 1.698 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.698 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.698 * [taylor]: Taking taylor expansion of m in m 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.699 * [taylor]: Taking taylor expansion of n in m 1.699 * [backup-simplify]: Simplify n into n 1.699 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.699 * [taylor]: Taking taylor expansion of K in m 1.699 * [backup-simplify]: Simplify K into K 1.699 * [backup-simplify]: Simplify (+ 1 0) into 1 1.699 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.699 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.699 * [taylor]: Taking taylor expansion of K in n 1.700 * [backup-simplify]: Simplify K into K 1.700 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.701 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.701 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.701 * [taylor]: Taking taylor expansion of (* K n) in n 1.701 * [taylor]: Taking taylor expansion of K in n 1.701 * [backup-simplify]: Simplify K into K 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (* K 0) into 0 1.702 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.702 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.702 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.702 * [taylor]: Taking taylor expansion of K in K 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.703 * [taylor]: Taking taylor expansion of K in K 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.705 * [backup-simplify]: Simplify (+ 0 0) into 0 1.705 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) 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 * [taylor]: Taking taylor expansion of 0 in K 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.706 * [taylor]: Taking taylor expansion of 0 in K 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.710 * [taylor]: Taking taylor expansion of 0 in n 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [taylor]: Taking taylor expansion of 0 in K 1.710 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in K 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.711 * [taylor]: Taking taylor expansion of 0 in K 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 1.714 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.714 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 1.714 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 1.714 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 1.714 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.714 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.714 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.714 * [taylor]: Taking taylor expansion of 1/2 in M 1.714 * [backup-simplify]: Simplify 1/2 into 1/2 1.714 * [taylor]: Taking taylor expansion of m in M 1.714 * [backup-simplify]: Simplify m into m 1.714 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.714 * [taylor]: Taking taylor expansion of 1/2 in M 1.714 * [backup-simplify]: Simplify 1/2 into 1/2 1.715 * [taylor]: Taking taylor expansion of n in M 1.715 * [backup-simplify]: Simplify n into n 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 (* 1/2 m) into (* 1/2 m) 1.715 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.715 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.716 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 1.716 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.716 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.716 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.716 * [taylor]: Taking taylor expansion of 1/2 in n 1.716 * [backup-simplify]: Simplify 1/2 into 1/2 1.716 * [taylor]: Taking taylor expansion of m in n 1.716 * [backup-simplify]: Simplify m into m 1.716 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.716 * [taylor]: Taking taylor expansion of 1/2 in n 1.716 * [backup-simplify]: Simplify 1/2 into 1/2 1.716 * [taylor]: Taking taylor expansion of n in n 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of M in n 1.716 * [backup-simplify]: Simplify M into M 1.716 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.716 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 1.717 * [backup-simplify]: Simplify (- M) into (- M) 1.717 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 1.717 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.717 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.717 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.717 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.717 * [taylor]: Taking taylor expansion of 1/2 in m 1.717 * [backup-simplify]: Simplify 1/2 into 1/2 1.717 * [taylor]: Taking taylor expansion of m in m 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.717 * [taylor]: Taking taylor expansion of 1/2 in m 1.717 * [backup-simplify]: Simplify 1/2 into 1/2 1.717 * [taylor]: Taking taylor expansion of n in m 1.717 * [backup-simplify]: Simplify n into n 1.717 * [taylor]: Taking taylor expansion of M in m 1.717 * [backup-simplify]: Simplify M into M 1.718 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.718 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.718 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.718 * [backup-simplify]: Simplify (- M) into (- M) 1.718 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.718 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.718 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.718 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.718 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.718 * [taylor]: Taking taylor expansion of 1/2 in m 1.718 * [backup-simplify]: Simplify 1/2 into 1/2 1.718 * [taylor]: Taking taylor expansion of m in m 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.718 * [taylor]: Taking taylor expansion of 1/2 in m 1.718 * [backup-simplify]: Simplify 1/2 into 1/2 1.718 * [taylor]: Taking taylor expansion of n in m 1.718 * [backup-simplify]: Simplify n into n 1.718 * [taylor]: Taking taylor expansion of M in m 1.718 * [backup-simplify]: Simplify M into M 1.719 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.719 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.719 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.719 * [backup-simplify]: Simplify (- M) into (- M) 1.719 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.719 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.719 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 1.719 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.719 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.719 * [taylor]: Taking taylor expansion of 1/2 in n 1.719 * [backup-simplify]: Simplify 1/2 into 1/2 1.720 * [taylor]: Taking taylor expansion of n in n 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.720 * [taylor]: Taking taylor expansion of M in n 1.720 * [backup-simplify]: Simplify M into M 1.720 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.720 * [backup-simplify]: Simplify (- M) into (- M) 1.720 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.720 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 1.720 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.720 * [taylor]: Taking taylor expansion of M in M 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.722 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.726 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.726 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.726 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.726 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.726 * [taylor]: Taking taylor expansion of 1/2 in n 1.726 * [backup-simplify]: Simplify 1/2 into 1/2 1.726 * [taylor]: Taking taylor expansion of n in n 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of M in n 1.726 * [backup-simplify]: Simplify M into M 1.727 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.727 * [backup-simplify]: Simplify (- M) into (- M) 1.727 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.727 * [taylor]: Taking taylor expansion of (- M) in M 1.727 * [taylor]: Taking taylor expansion of M in M 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (- 0) into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.729 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.729 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 1.729 * [taylor]: Taking taylor expansion of (- M) in M 1.729 * [taylor]: Taking taylor expansion of M in M 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.733 * [taylor]: Taking taylor expansion of 1/4 in n 1.733 * [backup-simplify]: Simplify 1/4 into 1/4 1.733 * [taylor]: Taking taylor expansion of 1/4 in M 1.733 * [backup-simplify]: Simplify 1/4 into 1/4 1.734 * [backup-simplify]: Simplify 1/4 into 1/4 1.734 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.735 * [backup-simplify]: Simplify (- 0) into 0 1.735 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.735 * [taylor]: Taking taylor expansion of 1/2 in M 1.735 * [backup-simplify]: Simplify 1/2 into 1/2 1.735 * [backup-simplify]: Simplify 1/2 into 1/2 1.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.737 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 1.738 * [taylor]: Taking taylor expansion of 1/4 in M 1.738 * [backup-simplify]: Simplify 1/4 into 1/4 1.738 * [backup-simplify]: Simplify 1/4 into 1/4 1.738 * [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)))) 1.739 * [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) 1.739 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 1.739 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 1.739 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.739 * [taylor]: Taking taylor expansion of 1/2 in M 1.739 * [backup-simplify]: Simplify 1/2 into 1/2 1.739 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.739 * [taylor]: Taking taylor expansion of m in M 1.739 * [backup-simplify]: Simplify m into m 1.739 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.739 * [taylor]: Taking taylor expansion of 1/2 in M 1.739 * [backup-simplify]: Simplify 1/2 into 1/2 1.739 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.739 * [taylor]: Taking taylor expansion of n in M 1.739 * [backup-simplify]: Simplify n into n 1.739 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.739 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.739 * [taylor]: Taking taylor expansion of M in M 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [backup-simplify]: Simplify (- 1) into -1 1.741 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.741 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 1.741 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.741 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.741 * [taylor]: Taking taylor expansion of 1/2 in n 1.741 * [backup-simplify]: Simplify 1/2 into 1/2 1.741 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.741 * [taylor]: Taking taylor expansion of m in n 1.741 * [backup-simplify]: Simplify m into m 1.741 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.741 * [taylor]: Taking taylor expansion of 1/2 in n 1.741 * [backup-simplify]: Simplify 1/2 into 1/2 1.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify (/ 1 1) into 1 1.742 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.742 * [taylor]: Taking taylor expansion of M in n 1.742 * [backup-simplify]: Simplify M into M 1.742 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.742 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.743 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.743 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.743 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.743 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.743 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.743 * [taylor]: Taking taylor expansion of 1/2 in m 1.743 * [backup-simplify]: Simplify 1/2 into 1/2 1.743 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.743 * [taylor]: Taking taylor expansion of m in m 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.744 * [taylor]: Taking taylor expansion of 1/2 in m 1.744 * [backup-simplify]: Simplify 1/2 into 1/2 1.744 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.744 * [taylor]: Taking taylor expansion of n in m 1.744 * [backup-simplify]: Simplify n into n 1.744 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.744 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.744 * [taylor]: Taking taylor expansion of M in m 1.744 * [backup-simplify]: Simplify M into M 1.744 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.745 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.745 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.746 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.746 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.746 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.746 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.746 * [taylor]: Taking taylor expansion of 1/2 in m 1.746 * [backup-simplify]: Simplify 1/2 into 1/2 1.746 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.746 * [taylor]: Taking taylor expansion of m in m 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (/ 1 1) into 1 1.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.747 * [taylor]: Taking taylor expansion of 1/2 in m 1.747 * [backup-simplify]: Simplify 1/2 into 1/2 1.747 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.747 * [taylor]: Taking taylor expansion of n in m 1.747 * [backup-simplify]: Simplify n into n 1.747 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.747 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.747 * [taylor]: Taking taylor expansion of M in m 1.747 * [backup-simplify]: Simplify M into M 1.747 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.748 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.749 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.749 * [taylor]: Taking taylor expansion of 1/4 in n 1.749 * [backup-simplify]: Simplify 1/4 into 1/4 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.751 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.751 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.751 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.751 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.751 * [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)) 1.751 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.751 * [taylor]: Taking taylor expansion of 1/2 in n 1.751 * [backup-simplify]: Simplify 1/2 into 1/2 1.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.751 * [taylor]: Taking taylor expansion of M in n 1.751 * [backup-simplify]: Simplify M into M 1.752 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [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))) 1.755 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.755 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.755 * [taylor]: Taking taylor expansion of M in n 1.755 * [backup-simplify]: Simplify M into M 1.755 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.755 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.755 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.755 * [taylor]: Taking taylor expansion of 1/4 in n 1.755 * [backup-simplify]: Simplify 1/4 into 1/4 1.755 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.755 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.755 * [taylor]: Taking taylor expansion of n in n 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.756 * [taylor]: Taking taylor expansion of (* M n) in n 1.756 * [taylor]: Taking taylor expansion of M in n 1.756 * [backup-simplify]: Simplify M into M 1.756 * [taylor]: Taking taylor expansion of n in n 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (* M 0) into 0 1.756 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.756 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.757 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.757 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.757 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.757 * [taylor]: Taking taylor expansion of 1/4 in M 1.757 * [backup-simplify]: Simplify 1/4 into 1/4 1.758 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.758 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.758 * [taylor]: Taking taylor expansion of 1/2 in M 1.758 * [backup-simplify]: Simplify 1/2 into 1/2 1.758 * [taylor]: Taking taylor expansion of 1/4 in M 1.758 * [backup-simplify]: Simplify 1/4 into 1/4 1.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.760 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [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 1.761 * [taylor]: Taking taylor expansion of 0 in n 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.763 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.763 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.763 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.763 * [taylor]: Taking taylor expansion of M in M 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.764 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.764 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.764 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.764 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.764 * [taylor]: Taking taylor expansion of M in M 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of 0 in M 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [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 1.769 * [taylor]: Taking taylor expansion of 0 in n 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.771 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.771 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.771 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.771 * [taylor]: Taking taylor expansion of M in M 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (* 1 1) into 1 1.772 * [backup-simplify]: Simplify (/ 1 1) into 1 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in M 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [taylor]: Taking taylor expansion of 0 in M 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (- 1) into -1 1.774 * [backup-simplify]: Simplify -1 into -1 1.774 * [backup-simplify]: Simplify (- 1) into -1 1.774 * [backup-simplify]: Simplify -1 into -1 1.775 * [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))) 1.775 * [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) 1.775 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 1.775 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 1.775 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.775 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.775 * [taylor]: Taking taylor expansion of M in M 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.776 * [taylor]: Taking taylor expansion of 1/2 in M 1.776 * [backup-simplify]: Simplify 1/2 into 1/2 1.776 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.776 * [taylor]: Taking taylor expansion of m in M 1.776 * [backup-simplify]: Simplify m into m 1.776 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.776 * [taylor]: Taking taylor expansion of 1/2 in M 1.776 * [backup-simplify]: Simplify 1/2 into 1/2 1.776 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.776 * [taylor]: Taking taylor expansion of n in M 1.776 * [backup-simplify]: Simplify n into n 1.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.776 * [backup-simplify]: Simplify (+ 1 0) into 1 1.776 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 1.776 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.776 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.776 * [taylor]: Taking taylor expansion of M in n 1.776 * [backup-simplify]: Simplify M into M 1.776 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.776 * [taylor]: Taking taylor expansion of 1/2 in n 1.776 * [backup-simplify]: Simplify 1/2 into 1/2 1.776 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.776 * [taylor]: Taking taylor expansion of m in n 1.776 * [backup-simplify]: Simplify m into m 1.776 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.777 * [taylor]: Taking taylor expansion of 1/2 in n 1.777 * [backup-simplify]: Simplify 1/2 into 1/2 1.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.777 * [taylor]: Taking taylor expansion of n in n 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ 1 1) into 1 1.777 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.777 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.778 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.778 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.778 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.778 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.778 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.778 * [taylor]: Taking taylor expansion of M in m 1.778 * [backup-simplify]: Simplify M into M 1.778 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.778 * [taylor]: Taking taylor expansion of 1/2 in m 1.778 * [backup-simplify]: Simplify 1/2 into 1/2 1.778 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.778 * [taylor]: Taking taylor expansion of m in m 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.778 * [taylor]: Taking taylor expansion of 1/2 in m 1.778 * [backup-simplify]: Simplify 1/2 into 1/2 1.778 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.778 * [taylor]: Taking taylor expansion of n in m 1.778 * [backup-simplify]: Simplify n into n 1.779 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.779 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.779 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.779 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.780 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.780 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.780 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.780 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.780 * [taylor]: Taking taylor expansion of M in m 1.780 * [backup-simplify]: Simplify M into M 1.780 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.780 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.780 * [taylor]: Taking taylor expansion of 1/2 in m 1.780 * [backup-simplify]: Simplify 1/2 into 1/2 1.780 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.780 * [taylor]: Taking taylor expansion of m in m 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.780 * [taylor]: Taking taylor expansion of 1/2 in m 1.780 * [backup-simplify]: Simplify 1/2 into 1/2 1.780 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.780 * [taylor]: Taking taylor expansion of n in m 1.780 * [backup-simplify]: Simplify n into n 1.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.780 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.781 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.781 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.781 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.782 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.782 * [taylor]: Taking taylor expansion of 1/4 in n 1.782 * [backup-simplify]: Simplify 1/4 into 1/4 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.783 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.783 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.783 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.783 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.783 * [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)) 1.783 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.783 * [taylor]: Taking taylor expansion of 1/2 in n 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.783 * [taylor]: Taking taylor expansion of n in n 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.784 * [taylor]: Taking taylor expansion of M in n 1.784 * [backup-simplify]: Simplify M into M 1.784 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.789 * [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))) 1.789 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.789 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.789 * [taylor]: Taking taylor expansion of M in n 1.789 * [backup-simplify]: Simplify M into M 1.789 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.789 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.789 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.789 * [taylor]: Taking taylor expansion of 1/4 in n 1.789 * [backup-simplify]: Simplify 1/4 into 1/4 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.789 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.790 * [taylor]: Taking taylor expansion of (* M n) in n 1.790 * [taylor]: Taking taylor expansion of M in n 1.790 * [backup-simplify]: Simplify M into M 1.790 * [taylor]: Taking taylor expansion of n in n 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (* M 0) into 0 1.791 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.791 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.791 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.792 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.792 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.792 * [taylor]: Taking taylor expansion of 1/4 in M 1.792 * [backup-simplify]: Simplify 1/4 into 1/4 1.793 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.793 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.793 * [taylor]: Taking taylor expansion of 1/2 in M 1.793 * [backup-simplify]: Simplify 1/2 into 1/2 1.793 * [taylor]: Taking taylor expansion of 1/4 in M 1.793 * [backup-simplify]: Simplify 1/4 into 1/4 1.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [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 1.799 * [taylor]: Taking taylor expansion of 0 in n 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.802 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.802 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.802 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.802 * [taylor]: Taking taylor expansion of M in M 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.804 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.804 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.804 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.804 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.804 * [taylor]: Taking taylor expansion of M in M 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (/ 1 1) into 1 1.805 * [taylor]: Taking taylor expansion of 0 in M 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [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 1.811 * [taylor]: Taking taylor expansion of 0 in n 1.811 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.814 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.815 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.815 * [backup-simplify]: Simplify (- 0) into 0 1.815 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.815 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.815 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.815 * [taylor]: Taking taylor expansion of M in M 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (* 1 1) into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [taylor]: Taking taylor expansion of 0 in M 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [taylor]: Taking taylor expansion of 0 in M 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (- 1) into -1 1.819 * [backup-simplify]: Simplify -1 into -1 1.820 * [backup-simplify]: Simplify (- 1) into -1 1.820 * [backup-simplify]: Simplify -1 into -1 1.821 * [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))) 1.821 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.821 * [backup-simplify]: Simplify (- (/ (* (+ m n) K) 2) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.821 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (m n K M) around 0 1.821 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.821 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.821 * [taylor]: Taking taylor expansion of 1/2 in M 1.821 * [backup-simplify]: Simplify 1/2 into 1/2 1.821 * [taylor]: Taking taylor expansion of (* K n) in M 1.821 * [taylor]: Taking taylor expansion of K in M 1.821 * [backup-simplify]: Simplify K into K 1.821 * [taylor]: Taking taylor expansion of n in M 1.821 * [backup-simplify]: Simplify n into n 1.821 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.821 * [taylor]: Taking taylor expansion of 1/2 in M 1.821 * [backup-simplify]: Simplify 1/2 into 1/2 1.821 * [taylor]: Taking taylor expansion of (* K m) in M 1.821 * [taylor]: Taking taylor expansion of K in M 1.821 * [backup-simplify]: Simplify K into K 1.821 * [taylor]: Taking taylor expansion of m in M 1.821 * [backup-simplify]: Simplify m into m 1.821 * [taylor]: Taking taylor expansion of M in M 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.821 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.821 * [taylor]: Taking taylor expansion of 1/2 in K 1.821 * [backup-simplify]: Simplify 1/2 into 1/2 1.822 * [taylor]: Taking taylor expansion of (* K n) in K 1.822 * [taylor]: Taking taylor expansion of K in K 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of n in K 1.822 * [backup-simplify]: Simplify n into n 1.822 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.822 * [taylor]: Taking taylor expansion of 1/2 in K 1.822 * [backup-simplify]: Simplify 1/2 into 1/2 1.822 * [taylor]: Taking taylor expansion of (* K m) in K 1.822 * [taylor]: Taking taylor expansion of K in K 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of m in K 1.822 * [backup-simplify]: Simplify m into m 1.822 * [taylor]: Taking taylor expansion of M in K 1.822 * [backup-simplify]: Simplify M into M 1.822 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.822 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.822 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.822 * [taylor]: Taking taylor expansion of 1/2 in n 1.822 * [backup-simplify]: Simplify 1/2 into 1/2 1.822 * [taylor]: Taking taylor expansion of (* K n) in n 1.822 * [taylor]: Taking taylor expansion of K in n 1.822 * [backup-simplify]: Simplify K into K 1.822 * [taylor]: Taking taylor expansion of n in n 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.822 * [taylor]: Taking taylor expansion of 1/2 in n 1.822 * [backup-simplify]: Simplify 1/2 into 1/2 1.822 * [taylor]: Taking taylor expansion of (* K m) in n 1.822 * [taylor]: Taking taylor expansion of K in n 1.822 * [backup-simplify]: Simplify K into K 1.822 * [taylor]: Taking taylor expansion of m in n 1.822 * [backup-simplify]: Simplify m into m 1.822 * [taylor]: Taking taylor expansion of M in n 1.822 * [backup-simplify]: Simplify M into M 1.822 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.822 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.822 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.822 * [taylor]: Taking taylor expansion of 1/2 in m 1.822 * [backup-simplify]: Simplify 1/2 into 1/2 1.822 * [taylor]: Taking taylor expansion of (* K n) in m 1.822 * [taylor]: Taking taylor expansion of K in m 1.823 * [backup-simplify]: Simplify K into K 1.823 * [taylor]: Taking taylor expansion of n in m 1.823 * [backup-simplify]: Simplify n into n 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.823 * [taylor]: Taking taylor expansion of 1/2 in m 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (* K m) in m 1.823 * [taylor]: Taking taylor expansion of K in m 1.823 * [backup-simplify]: Simplify K into K 1.823 * [taylor]: Taking taylor expansion of m in m 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of M in m 1.823 * [backup-simplify]: Simplify M into M 1.823 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.823 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.823 * [taylor]: Taking taylor expansion of 1/2 in m 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (* K n) in m 1.823 * [taylor]: Taking taylor expansion of K in m 1.823 * [backup-simplify]: Simplify K into K 1.823 * [taylor]: Taking taylor expansion of n in m 1.823 * [backup-simplify]: Simplify n into n 1.823 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.823 * [taylor]: Taking taylor expansion of 1/2 in m 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (* K m) in m 1.823 * [taylor]: Taking taylor expansion of K in m 1.823 * [backup-simplify]: Simplify K into K 1.823 * [taylor]: Taking taylor expansion of m in m 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of M in m 1.823 * [backup-simplify]: Simplify M into M 1.823 * [backup-simplify]: Simplify (* K n) into (* K n) 1.823 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.824 * [backup-simplify]: Simplify (* K 0) into 0 1.824 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.824 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.824 * [backup-simplify]: Simplify (- M) into (- M) 1.824 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.824 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.824 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.824 * [taylor]: Taking taylor expansion of 1/2 in n 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.825 * [taylor]: Taking taylor expansion of (* K n) in n 1.825 * [taylor]: Taking taylor expansion of K in n 1.825 * [backup-simplify]: Simplify K into K 1.825 * [taylor]: Taking taylor expansion of n in n 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of M in n 1.825 * [backup-simplify]: Simplify M into M 1.825 * [backup-simplify]: Simplify (* K 0) into 0 1.825 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.825 * [backup-simplify]: Simplify (- M) into (- M) 1.825 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.825 * [taylor]: Taking taylor expansion of (- M) in K 1.825 * [taylor]: Taking taylor expansion of M in K 1.825 * [backup-simplify]: Simplify M into M 1.825 * [backup-simplify]: Simplify (- M) into (- M) 1.825 * [taylor]: Taking taylor expansion of (- M) in M 1.825 * [taylor]: Taking taylor expansion of M in M 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (- 0) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.827 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.827 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.827 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.828 * [taylor]: Taking taylor expansion of (* 1/2 K) in n 1.828 * [taylor]: Taking taylor expansion of 1/2 in n 1.828 * [backup-simplify]: Simplify 1/2 into 1/2 1.828 * [taylor]: Taking taylor expansion of K in n 1.828 * [backup-simplify]: Simplify K into K 1.828 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.828 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.828 * [taylor]: Taking taylor expansion of 1/2 in K 1.828 * [backup-simplify]: Simplify 1/2 into 1/2 1.828 * [taylor]: Taking taylor expansion of K in K 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.828 * [taylor]: Taking taylor expansion of 0 in M 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.829 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.830 * [backup-simplify]: Simplify (- 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.830 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.830 * [taylor]: Taking taylor expansion of 1/2 in K 1.830 * [backup-simplify]: Simplify 1/2 into 1/2 1.830 * [taylor]: Taking taylor expansion of K in K 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.830 * [taylor]: Taking taylor expansion of 0 in M 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- 0) into 0 1.831 * [taylor]: Taking taylor expansion of 0 in M 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- 1) into -1 1.831 * [backup-simplify]: Simplify -1 into -1 1.832 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.834 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.836 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [taylor]: Taking taylor expansion of 0 in n 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [taylor]: Taking taylor expansion of 0 in K 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [taylor]: Taking taylor expansion of 0 in M 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.836 * [taylor]: Taking taylor expansion of 0 in K 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [taylor]: Taking taylor expansion of 0 in M 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [taylor]: Taking taylor expansion of 0 in K 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [taylor]: Taking taylor expansion of 0 in M 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.839 * [taylor]: Taking taylor expansion of 1/2 in M 1.839 * [backup-simplify]: Simplify 1/2 into 1/2 1.839 * [backup-simplify]: Simplify 1/2 into 1/2 1.840 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.840 * [taylor]: Taking taylor expansion of 1/2 in M 1.840 * [backup-simplify]: Simplify 1/2 into 1/2 1.840 * [backup-simplify]: Simplify 1/2 into 1/2 1.841 * [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) 1.841 * [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)) 1.841 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (m n K M) around 0 1.841 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.841 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.842 * [taylor]: Taking taylor expansion of 1/2 in M 1.842 * [backup-simplify]: Simplify 1/2 into 1/2 1.842 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.842 * [taylor]: Taking taylor expansion of (* m K) in M 1.842 * [taylor]: Taking taylor expansion of m in M 1.842 * [backup-simplify]: Simplify m into m 1.842 * [taylor]: Taking taylor expansion of K in M 1.842 * [backup-simplify]: Simplify K into K 1.842 * [backup-simplify]: Simplify (* m K) into (* m K) 1.842 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.842 * [taylor]: Taking taylor expansion of 1/2 in M 1.842 * [backup-simplify]: Simplify 1/2 into 1/2 1.842 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.842 * [taylor]: Taking taylor expansion of (* K n) in M 1.842 * [taylor]: Taking taylor expansion of K in M 1.842 * [backup-simplify]: Simplify K into K 1.842 * [taylor]: Taking taylor expansion of n in M 1.842 * [backup-simplify]: Simplify n into n 1.842 * [backup-simplify]: Simplify (* K n) into (* K n) 1.842 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.842 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.842 * [taylor]: Taking taylor expansion of M in M 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.843 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.843 * [taylor]: Taking taylor expansion of 1/2 in K 1.843 * [backup-simplify]: Simplify 1/2 into 1/2 1.843 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.843 * [taylor]: Taking taylor expansion of (* m K) in K 1.843 * [taylor]: Taking taylor expansion of m in K 1.843 * [backup-simplify]: Simplify m into m 1.843 * [taylor]: Taking taylor expansion of K in K 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (* m 0) into 0 1.843 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.843 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.844 * [taylor]: Taking taylor expansion of 1/2 in K 1.844 * [backup-simplify]: Simplify 1/2 into 1/2 1.844 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.844 * [taylor]: Taking taylor expansion of (* K n) in K 1.844 * [taylor]: Taking taylor expansion of K in K 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [taylor]: Taking taylor expansion of n in K 1.844 * [backup-simplify]: Simplify n into n 1.844 * [backup-simplify]: Simplify (* 0 n) into 0 1.844 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.844 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.844 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.844 * [taylor]: Taking taylor expansion of M in K 1.844 * [backup-simplify]: Simplify M into M 1.844 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.844 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.844 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.845 * [taylor]: Taking taylor expansion of 1/2 in n 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.845 * [taylor]: Taking taylor expansion of (* m K) in n 1.845 * [taylor]: Taking taylor expansion of m in n 1.845 * [backup-simplify]: Simplify m into m 1.845 * [taylor]: Taking taylor expansion of K in n 1.845 * [backup-simplify]: Simplify K into K 1.845 * [backup-simplify]: Simplify (* m K) into (* m K) 1.845 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.845 * [taylor]: Taking taylor expansion of 1/2 in n 1.845 * [backup-simplify]: Simplify 1/2 into 1/2 1.845 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.845 * [taylor]: Taking taylor expansion of (* K n) in n 1.845 * [taylor]: Taking taylor expansion of K in n 1.845 * [backup-simplify]: Simplify K into K 1.845 * [taylor]: Taking taylor expansion of n in n 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* K 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.846 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.846 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.846 * [taylor]: Taking taylor expansion of M in n 1.846 * [backup-simplify]: Simplify M into M 1.846 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.846 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.846 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.846 * [taylor]: Taking taylor expansion of 1/2 in m 1.846 * [backup-simplify]: Simplify 1/2 into 1/2 1.846 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.846 * [taylor]: Taking taylor expansion of (* m K) in m 1.846 * [taylor]: Taking taylor expansion of m in m 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of K in m 1.846 * [backup-simplify]: Simplify K into K 1.846 * [backup-simplify]: Simplify (* 0 K) into 0 1.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.847 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.847 * [taylor]: Taking taylor expansion of 1/2 in m 1.847 * [backup-simplify]: Simplify 1/2 into 1/2 1.847 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.847 * [taylor]: Taking taylor expansion of (* K n) in m 1.847 * [taylor]: Taking taylor expansion of K in m 1.847 * [backup-simplify]: Simplify K into K 1.847 * [taylor]: Taking taylor expansion of n in m 1.847 * [backup-simplify]: Simplify n into n 1.847 * [backup-simplify]: Simplify (* K n) into (* K n) 1.847 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.847 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.847 * [taylor]: Taking taylor expansion of M in m 1.847 * [backup-simplify]: Simplify M into M 1.847 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.847 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.847 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.847 * [taylor]: Taking taylor expansion of 1/2 in m 1.847 * [backup-simplify]: Simplify 1/2 into 1/2 1.847 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.847 * [taylor]: Taking taylor expansion of (* m K) in m 1.847 * [taylor]: Taking taylor expansion of m in m 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of K in m 1.847 * [backup-simplify]: Simplify K into K 1.847 * [backup-simplify]: Simplify (* 0 K) into 0 1.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.848 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.848 * [taylor]: Taking taylor expansion of 1/2 in m 1.848 * [backup-simplify]: Simplify 1/2 into 1/2 1.848 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.848 * [taylor]: Taking taylor expansion of (* K n) in m 1.848 * [taylor]: Taking taylor expansion of K in m 1.848 * [backup-simplify]: Simplify K into K 1.848 * [taylor]: Taking taylor expansion of n in m 1.848 * [backup-simplify]: Simplify n into n 1.848 * [backup-simplify]: Simplify (* K n) into (* K n) 1.848 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.848 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.848 * [taylor]: Taking taylor expansion of M in m 1.848 * [backup-simplify]: Simplify M into M 1.848 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.849 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.849 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.849 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.849 * [taylor]: Taking taylor expansion of 1/2 in n 1.849 * [backup-simplify]: Simplify 1/2 into 1/2 1.849 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.849 * [taylor]: Taking taylor expansion of K in n 1.849 * [backup-simplify]: Simplify K into K 1.849 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.850 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.851 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.851 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.851 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (* K n))) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) 1.851 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 1.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.851 * [taylor]: Taking taylor expansion of 1/2 in n 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.851 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.851 * [taylor]: Taking taylor expansion of (* K n) in n 1.851 * [taylor]: Taking taylor expansion of K in n 1.851 * [backup-simplify]: Simplify K into K 1.851 * [taylor]: Taking taylor expansion of n in n 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* K 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.854 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.854 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.854 * [taylor]: Taking taylor expansion of M in n 1.854 * [backup-simplify]: Simplify M into M 1.854 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.854 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.854 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.854 * [taylor]: Taking taylor expansion of 1/2 in K 1.854 * [backup-simplify]: Simplify 1/2 into 1/2 1.854 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.854 * [taylor]: Taking taylor expansion of K in K 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.855 * [taylor]: Taking taylor expansion of 1/2 in M 1.855 * [backup-simplify]: Simplify 1/2 into 1/2 1.856 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.856 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.856 * [taylor]: Taking taylor expansion of 1/2 in K 1.856 * [backup-simplify]: Simplify 1/2 into 1/2 1.856 * [taylor]: Taking taylor expansion of K in K 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.856 * [taylor]: Taking taylor expansion of 1/2 in M 1.856 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in n 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.862 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.862 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.862 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in K 1.862 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.862 * [taylor]: Taking taylor expansion of M in K 1.862 * [backup-simplify]: Simplify M into M 1.862 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.863 * [taylor]: Taking taylor expansion of 0 in K 1.863 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.864 * [taylor]: Taking taylor expansion of 0 in M 1.864 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.865 * [taylor]: Taking taylor expansion of 0 in M 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1/2 into 1/2 1.866 * [backup-simplify]: Simplify 1/2 into 1/2 1.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.869 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [taylor]: Taking taylor expansion of 0 in n 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [taylor]: Taking taylor expansion of 0 in K 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [taylor]: Taking taylor expansion of 0 in K 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in K 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.876 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.876 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.876 * [taylor]: Taking taylor expansion of M in M 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [backup-simplify]: Simplify (- 1) into -1 1.877 * [backup-simplify]: Simplify -1 into -1 1.878 * [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) 1.878 * [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))))) 1.878 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (m n K M) around 0 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.878 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.878 * [taylor]: Taking taylor expansion of M in M 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.879 * [taylor]: Taking taylor expansion of 1/2 in M 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.879 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.879 * [taylor]: Taking taylor expansion of (* m K) in M 1.879 * [taylor]: Taking taylor expansion of m in M 1.879 * [backup-simplify]: Simplify m into m 1.879 * [taylor]: Taking taylor expansion of K in M 1.879 * [backup-simplify]: Simplify K into K 1.879 * [backup-simplify]: Simplify (* m K) into (* m K) 1.879 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.879 * [taylor]: Taking taylor expansion of 1/2 in M 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.879 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.879 * [taylor]: Taking taylor expansion of (* K n) in M 1.879 * [taylor]: Taking taylor expansion of K in M 1.879 * [backup-simplify]: Simplify K into K 1.879 * [taylor]: Taking taylor expansion of n in M 1.879 * [backup-simplify]: Simplify n into n 1.879 * [backup-simplify]: Simplify (* K n) into (* K n) 1.879 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.879 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.879 * [taylor]: Taking taylor expansion of M in K 1.879 * [backup-simplify]: Simplify M into M 1.880 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.880 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.880 * [taylor]: Taking taylor expansion of 1/2 in K 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.880 * [taylor]: Taking taylor expansion of (* m K) in K 1.880 * [taylor]: Taking taylor expansion of m in K 1.880 * [backup-simplify]: Simplify m into m 1.880 * [taylor]: Taking taylor expansion of K in K 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (* m 0) into 0 1.880 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.880 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.880 * [taylor]: Taking taylor expansion of 1/2 in K 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.880 * [taylor]: Taking taylor expansion of (* K n) in K 1.880 * [taylor]: Taking taylor expansion of K in K 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [taylor]: Taking taylor expansion of n in K 1.881 * [backup-simplify]: Simplify n into n 1.881 * [backup-simplify]: Simplify (* 0 n) into 0 1.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.881 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.881 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.881 * [taylor]: Taking taylor expansion of M in n 1.881 * [backup-simplify]: Simplify M into M 1.881 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.881 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.881 * [taylor]: Taking taylor expansion of 1/2 in n 1.881 * [backup-simplify]: Simplify 1/2 into 1/2 1.881 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.881 * [taylor]: Taking taylor expansion of (* m K) in n 1.881 * [taylor]: Taking taylor expansion of m in n 1.881 * [backup-simplify]: Simplify m into m 1.882 * [taylor]: Taking taylor expansion of K in n 1.882 * [backup-simplify]: Simplify K into K 1.882 * [backup-simplify]: Simplify (* m K) into (* m K) 1.882 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.882 * [taylor]: Taking taylor expansion of 1/2 in n 1.882 * [backup-simplify]: Simplify 1/2 into 1/2 1.882 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.882 * [taylor]: Taking taylor expansion of (* K n) in n 1.882 * [taylor]: Taking taylor expansion of K in n 1.882 * [backup-simplify]: Simplify K into K 1.882 * [taylor]: Taking taylor expansion of n in n 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (* K 0) into 0 1.882 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.882 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.883 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.883 * [taylor]: Taking taylor expansion of M in m 1.883 * [backup-simplify]: Simplify M into M 1.883 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.883 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.883 * [taylor]: Taking taylor expansion of 1/2 in m 1.883 * [backup-simplify]: Simplify 1/2 into 1/2 1.883 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.883 * [taylor]: Taking taylor expansion of (* m K) in m 1.883 * [taylor]: Taking taylor expansion of m in m 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of K in m 1.883 * [backup-simplify]: Simplify K into K 1.883 * [backup-simplify]: Simplify (* 0 K) into 0 1.883 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.883 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.883 * [taylor]: Taking taylor expansion of 1/2 in m 1.883 * [backup-simplify]: Simplify 1/2 into 1/2 1.883 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.884 * [taylor]: Taking taylor expansion of (* K n) in m 1.884 * [taylor]: Taking taylor expansion of K in m 1.884 * [backup-simplify]: Simplify K into K 1.884 * [taylor]: Taking taylor expansion of n in m 1.884 * [backup-simplify]: Simplify n into n 1.884 * [backup-simplify]: Simplify (* K n) into (* K n) 1.884 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.884 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.884 * [taylor]: Taking taylor expansion of M in m 1.884 * [backup-simplify]: Simplify M into M 1.884 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.884 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.884 * [taylor]: Taking taylor expansion of 1/2 in m 1.884 * [backup-simplify]: Simplify 1/2 into 1/2 1.884 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.884 * [taylor]: Taking taylor expansion of (* m K) in m 1.884 * [taylor]: Taking taylor expansion of m in m 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of K in m 1.884 * [backup-simplify]: Simplify K into K 1.884 * [backup-simplify]: Simplify (* 0 K) into 0 1.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.885 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.885 * [taylor]: Taking taylor expansion of 1/2 in m 1.885 * [backup-simplify]: Simplify 1/2 into 1/2 1.885 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.885 * [taylor]: Taking taylor expansion of (* K n) in m 1.885 * [taylor]: Taking taylor expansion of K in m 1.885 * [backup-simplify]: Simplify K into K 1.885 * [taylor]: Taking taylor expansion of n in m 1.885 * [backup-simplify]: Simplify n into n 1.885 * [backup-simplify]: Simplify (* K n) into (* K n) 1.885 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.885 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.885 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.885 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.885 * [taylor]: Taking taylor expansion of 1/2 in n 1.885 * [backup-simplify]: Simplify 1/2 into 1/2 1.885 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.885 * [taylor]: Taking taylor expansion of K in n 1.885 * [backup-simplify]: Simplify K into K 1.885 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.887 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.887 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.887 * [backup-simplify]: Simplify (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) into (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 1.887 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.887 * [taylor]: Taking taylor expansion of M in n 1.887 * [backup-simplify]: Simplify M into M 1.887 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.887 * [taylor]: Taking taylor expansion of 1/2 in n 1.887 * [backup-simplify]: Simplify 1/2 into 1/2 1.887 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.887 * [taylor]: Taking taylor expansion of (* K n) in n 1.887 * [taylor]: Taking taylor expansion of K in n 1.887 * [backup-simplify]: Simplify K into K 1.887 * [taylor]: Taking taylor expansion of n in n 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* K 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.888 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.888 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.888 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.888 * [taylor]: Taking taylor expansion of 1/2 in K 1.888 * [backup-simplify]: Simplify 1/2 into 1/2 1.888 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.888 * [taylor]: Taking taylor expansion of K in K 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.888 * [taylor]: Taking taylor expansion of 1/2 in M 1.888 * [backup-simplify]: Simplify 1/2 into 1/2 1.888 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.889 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.889 * [taylor]: Taking taylor expansion of 1/2 in K 1.889 * [backup-simplify]: Simplify 1/2 into 1/2 1.889 * [taylor]: Taking taylor expansion of K in K 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.889 * [taylor]: Taking taylor expansion of 1/2 in M 1.889 * [backup-simplify]: Simplify 1/2 into 1/2 1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.892 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.892 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.892 * [taylor]: Taking taylor expansion of M in K 1.892 * [backup-simplify]: Simplify M into M 1.892 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.893 * [taylor]: Taking taylor expansion of 0 in K 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.894 * [taylor]: Taking taylor expansion of 0 in M 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.894 * [taylor]: Taking taylor expansion of 0 in M 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1/2 into 1/2 1.894 * [backup-simplify]: Simplify 1/2 into 1/2 1.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.897 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [taylor]: Taking taylor expansion of 0 in n 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [taylor]: Taking taylor expansion of 0 in K 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [taylor]: Taking taylor expansion of 0 in K 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.900 * [taylor]: Taking taylor expansion of 0 in K 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.900 * [taylor]: Taking taylor expansion of M in M 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify 1 into 1 1.901 * [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) 1.901 * * * [progress]: simplifying candidates 1.901 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 1.901 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 1.901 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 1.901 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 1.901 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 1.901 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 1.901 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 1.902 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 16 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 1.902 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 1.903 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 48 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 1.903 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 1.904 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 81 / 109 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 1.905 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 1.905 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 96 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #real (real->posit16 (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 1.906 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 1.906 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 1.907 * [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))) (* (+ 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 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 (/ (* (+ 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)) 0 (+ (* K n) (* K m)) (+ (* K n) (* K 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 (* 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) 1.909 * * [simplify]: iteration 1: (186 enodes) 1.970 * * [simplify]: iteration 2: (475 enodes) 2.206 * * [simplify]: iteration 3: (1580 enodes) 3.704 * * [simplify]: Extracting #0: cost 78 inf + 0 3.706 * * [simplify]: Extracting #1: cost 798 inf + 3 3.712 * * [simplify]: Extracting #2: cost 1755 inf + 1857 3.726 * * [simplify]: Extracting #3: cost 1683 inf + 47577 3.819 * * [simplify]: Extracting #4: cost 844 inf + 230635 3.964 * * [simplify]: Extracting #5: cost 130 inf + 439630 4.122 * * [simplify]: Extracting #6: cost 4 inf + 478938 4.251 * * [simplify]: Extracting #7: cost 0 inf + 480318 4.428 * [simplify]: Simplified to: (* (cos (* (/ (+ n m) 2) K)) (cos M)) (* (- (sin (* (/ (+ n m) 2) K))) (sin M)) (* (cos (* (/ (+ n m) 2) K)) (cos M)) (* (- (sin (* (/ (+ n m) 2) K))) (sin M)) (* (cos (* (/ (+ n m) 2) K)) (cos M)) (* (sin (* (/ (+ n m) 2) K)) (sin M)) (log (cos (- (* (/ (+ n m) 2) K) M))) (exp (cos (- (* (/ (+ n m) 2) K) M))) (* (cbrt (cos (- (* (/ (+ n m) 2) K) M))) (cbrt (cos (- (* (/ (+ n m) 2) K) M)))) (cbrt (cos (- (* (/ (+ n m) 2) K) M))) (* (* (cos (- (* (/ (+ n m) 2) K) M)) (cos (- (* (/ (+ n m) 2) K) M))) (cos (- (* (/ (+ n m) 2) K) M))) (sqrt (cos (- (* (/ (+ n m) 2) K) M))) (sqrt (cos (- (* (/ (+ n m) 2) K) M))) (real->posit16 (cos (- (* (/ (+ n m) 2) K) M))) (* (+ n m) K) (log (* (+ n m) K)) (log (* (+ n m) K)) (exp (* (+ n m) K)) (* (* (+ n m) K) (* (* (+ n m) K) (* (+ n m) K))) (* (cbrt (* (+ n m) K)) (cbrt (* (+ n m) K))) (cbrt (* (+ n m) K)) (* (* (+ n m) K) (* (* (+ n m) K) (* (+ n m) K))) (sqrt (* (+ n m) K)) (sqrt (* (+ n m) K)) (* (sqrt K) (sqrt (+ n m))) (* (sqrt K) (sqrt (+ n m))) (* (cbrt K) (* (cbrt K) (+ n m))) (* (+ n m) (sqrt K)) (+ n m) (* K (cbrt (+ n m))) (* K (sqrt (+ n m))) (* (+ n m) K) (* (+ n m) K) (* K (+ (* n (* n n)) (* (* m m) m))) (* K (* (+ n m) (- m n))) (real->posit16 (* (+ n m) K)) 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M)) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (+ (/ (+ n m) 2) M)) (* M M)) (+ (* (/ (+ n m) 2) (+ (/ (+ n m) 2) M)) (* M M))) (* (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M)) (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (+ (* (/ (+ n m) 2) (+ (/ (+ n m) 2) M)) (* M M)) (+ (/ (+ n m) 2) M)) (* (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M)) (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (+ (* (/ (+ n m) 2) (+ (/ (+ n m) 2) M)) (* M 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)) (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) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)) (* (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt M) (sqrt (/ (+ n m) 2)))) (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (- (/ (+ n m) 2) 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)) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M))) (* (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M))) (* (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (exp (- (* (/ (+ n m) 2) K) M)) (log (- (* (/ (+ n m) 2) K) M)) (exp (- (* (/ (+ n m) 2) K) M)) (* (cbrt (- (* (/ (+ n m) 2) K) M)) (cbrt (- (* (/ (+ n m) 2) K) M))) (cbrt (- (* (/ (+ n m) 2) K) M)) (* (* (- (* (/ (+ n m) 2) K) M) (- (* (/ (+ n m) 2) K) M)) (- (* (/ (+ n m) 2) K) M)) (sqrt (- (* (/ (+ n m) 2) K) M)) (sqrt (- (* (/ (+ n m) 2) K) M)) (- (/ (* (* (+ n m) K) (* (* (+ n m) K) (* (+ n m) K))) 8) (* (* M M) M)) (+ (* M M) (* (+ M (* (/ (+ n m) 2) K)) (* (/ (+ n m) 2) K))) (- M) (* (+ M (* (/ (+ n m) 2) K)) (- (* (/ (+ n m) 2) K) M)) (+ M (* (/ (+ n m) 2) K)) (+ (sqrt M) (sqrt (* (/ (+ n m) 2) K))) (- (sqrt (* (/ (+ n m) 2) K)) (sqrt M)) (- (* (/ (+ n m) 2) K) M) (- M) (real->posit16 (- (* (/ (+ n m) 2) K) M)) 1 (cos (- (* (/ (+ n m) 2) K) M)) (cos (- (* (/ (+ n m) 2) K) M)) 0 (* (+ n m) K) (* (+ n m) K) (+ (* (* n n) 1/4) (* m (+ (* 1/2 n) (* m 1/4)))) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) (- (* (/ (+ n m) 2) K) M) (- (* (/ (+ n m) 2) K) M) (- (* (/ (+ n m) 2) K) M) 4.444 * * * [progress]: adding candidates to table 6.309 * * [progress]: iteration 2 / 4 6.309 * * * [progress]: picking best candidate 6.359 * * * * [pick]: Picked # 6.359 * * * [progress]: localizing error 6.388 * * * [progress]: generating rewritten candidates 6.388 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1) 6.600 * * * [progress]: generating series expansions 6.600 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1) 6.600 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 6.600 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 6.600 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 6.600 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 6.600 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 6.600 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 6.600 * [taylor]: Taking taylor expansion of 1/2 in M 6.600 * [backup-simplify]: Simplify 1/2 into 1/2 6.600 * [taylor]: Taking taylor expansion of m in M 6.600 * [backup-simplify]: Simplify m into m 6.600 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 6.600 * [taylor]: Taking taylor expansion of 1/2 in M 6.600 * [backup-simplify]: Simplify 1/2 into 1/2 6.600 * [taylor]: Taking taylor expansion of n in M 6.600 * [backup-simplify]: Simplify n into n 6.600 * [taylor]: Taking taylor expansion of M in M 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.600 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.600 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.600 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 6.601 * [backup-simplify]: Simplify (- 0) into 0 6.601 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 6.601 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 6.601 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 6.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 6.601 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 6.601 * [taylor]: Taking taylor expansion of 1/2 in n 6.601 * [backup-simplify]: Simplify 1/2 into 1/2 6.601 * [taylor]: Taking taylor expansion of m in n 6.601 * [backup-simplify]: Simplify m into m 6.601 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.601 * [taylor]: Taking taylor expansion of 1/2 in n 6.601 * [backup-simplify]: Simplify 1/2 into 1/2 6.601 * [taylor]: Taking taylor expansion of n in n 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 1 into 1 6.601 * [taylor]: Taking taylor expansion of M in n 6.601 * [backup-simplify]: Simplify M into M 6.601 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.601 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 6.602 * [backup-simplify]: Simplify (- M) into (- M) 6.602 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 6.602 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.602 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.602 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.602 * [taylor]: Taking taylor expansion of 1/2 in m 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of m in m 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.602 * [taylor]: Taking taylor expansion of 1/2 in m 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of n in m 6.602 * [backup-simplify]: Simplify n into n 6.602 * [taylor]: Taking taylor expansion of M in m 6.602 * [backup-simplify]: Simplify M into M 6.602 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.602 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.602 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.602 * [backup-simplify]: Simplify (- M) into (- M) 6.602 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.602 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.602 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.602 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.602 * [taylor]: Taking taylor expansion of 1/2 in m 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of m in m 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.602 * [taylor]: Taking taylor expansion of 1/2 in m 6.602 * [backup-simplify]: Simplify 1/2 into 1/2 6.602 * [taylor]: Taking taylor expansion of n in m 6.602 * [backup-simplify]: Simplify n into n 6.602 * [taylor]: Taking taylor expansion of M in m 6.603 * [backup-simplify]: Simplify M into M 6.603 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.603 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.603 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.603 * [backup-simplify]: Simplify (- M) into (- M) 6.603 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.603 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 6.603 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 6.603 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.603 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.603 * [taylor]: Taking taylor expansion of 1/2 in n 6.603 * [backup-simplify]: Simplify 1/2 into 1/2 6.603 * [taylor]: Taking taylor expansion of n in n 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.603 * [taylor]: Taking taylor expansion of M in n 6.603 * [backup-simplify]: Simplify M into M 6.604 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.604 * [backup-simplify]: Simplify (- M) into (- M) 6.604 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.604 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 6.604 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.604 * [taylor]: Taking taylor expansion of M in M 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 1 into 1 6.604 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.604 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 6.605 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.605 * [backup-simplify]: Simplify (- 0) into 0 6.605 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.605 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 6.605 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.606 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.606 * [taylor]: Taking taylor expansion of 1/2 in n 6.606 * [backup-simplify]: Simplify 1/2 into 1/2 6.606 * [taylor]: Taking taylor expansion of n in n 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [taylor]: Taking taylor expansion of M in n 6.606 * [backup-simplify]: Simplify M into M 6.606 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.606 * [backup-simplify]: Simplify (- M) into (- M) 6.606 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.606 * [taylor]: Taking taylor expansion of (- M) in M 6.606 * [taylor]: Taking taylor expansion of M in M 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 1 into 1 6.606 * [backup-simplify]: Simplify (- 0) into 0 6.606 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.607 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.608 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 6.608 * [taylor]: Taking taylor expansion of (- M) in M 6.608 * [taylor]: Taking taylor expansion of M in M 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 6.611 * [backup-simplify]: Simplify (+ 0 0) into 0 6.611 * [backup-simplify]: Simplify (- 0) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.612 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 6.612 * [taylor]: Taking taylor expansion of 1/4 in n 6.612 * [backup-simplify]: Simplify 1/4 into 1/4 6.612 * [taylor]: Taking taylor expansion of 1/4 in M 6.612 * [backup-simplify]: Simplify 1/4 into 1/4 6.612 * [backup-simplify]: Simplify 1/4 into 1/4 6.613 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.613 * [backup-simplify]: Simplify (- 0) into 0 6.614 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.614 * [taylor]: Taking taylor expansion of 1/2 in M 6.614 * [backup-simplify]: Simplify 1/2 into 1/2 6.614 * [backup-simplify]: Simplify 1/2 into 1/2 6.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.615 * [backup-simplify]: Simplify (- 0) into 0 6.616 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 6.616 * [taylor]: Taking taylor expansion of 1/4 in M 6.616 * [backup-simplify]: Simplify 1/4 into 1/4 6.616 * [backup-simplify]: Simplify 1/4 into 1/4 6.617 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 6.617 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 6.617 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 6.617 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 6.617 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 6.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.617 * [taylor]: Taking taylor expansion of 1/2 in M 6.617 * [backup-simplify]: Simplify 1/2 into 1/2 6.617 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.617 * [taylor]: Taking taylor expansion of m in M 6.617 * [backup-simplify]: Simplify m into m 6.617 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.617 * [taylor]: Taking taylor expansion of 1/2 in M 6.617 * [backup-simplify]: Simplify 1/2 into 1/2 6.617 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.618 * [taylor]: Taking taylor expansion of n in M 6.618 * [backup-simplify]: Simplify n into n 6.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.618 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.618 * [taylor]: Taking taylor expansion of M in M 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.618 * [backup-simplify]: Simplify (/ 1 1) into 1 6.618 * [backup-simplify]: Simplify (- 1) into -1 6.619 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.619 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 6.619 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 6.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.619 * [taylor]: Taking taylor expansion of 1/2 in n 6.619 * [backup-simplify]: Simplify 1/2 into 1/2 6.619 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.619 * [taylor]: Taking taylor expansion of m in n 6.619 * [backup-simplify]: Simplify m into m 6.619 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.619 * [taylor]: Taking taylor expansion of 1/2 in n 6.619 * [backup-simplify]: Simplify 1/2 into 1/2 6.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.619 * [taylor]: Taking taylor expansion of n in n 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (/ 1 1) into 1 6.620 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.620 * [taylor]: Taking taylor expansion of M in n 6.620 * [backup-simplify]: Simplify M into M 6.620 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.620 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.621 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.621 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.621 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.621 * [taylor]: Taking taylor expansion of 1/2 in m 6.621 * [backup-simplify]: Simplify 1/2 into 1/2 6.621 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.621 * [taylor]: Taking taylor expansion of m in m 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.622 * [backup-simplify]: Simplify (/ 1 1) into 1 6.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.622 * [taylor]: Taking taylor expansion of 1/2 in m 6.622 * [backup-simplify]: Simplify 1/2 into 1/2 6.622 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.622 * [taylor]: Taking taylor expansion of n in m 6.622 * [backup-simplify]: Simplify n into n 6.622 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.622 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.622 * [taylor]: Taking taylor expansion of M in m 6.622 * [backup-simplify]: Simplify M into M 6.622 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.623 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.623 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.623 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.623 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.623 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.624 * [taylor]: Taking taylor expansion of 1/2 in m 6.624 * [backup-simplify]: Simplify 1/2 into 1/2 6.624 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.624 * [taylor]: Taking taylor expansion of m in m 6.624 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify 1 into 1 6.624 * [backup-simplify]: Simplify (/ 1 1) into 1 6.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.624 * [taylor]: Taking taylor expansion of 1/2 in m 6.624 * [backup-simplify]: Simplify 1/2 into 1/2 6.624 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.624 * [taylor]: Taking taylor expansion of n in m 6.624 * [backup-simplify]: Simplify n into n 6.624 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.624 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.624 * [taylor]: Taking taylor expansion of M in m 6.624 * [backup-simplify]: Simplify M into M 6.624 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.625 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.625 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.626 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.626 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.626 * [taylor]: Taking taylor expansion of 1/4 in n 6.626 * [backup-simplify]: Simplify 1/4 into 1/4 6.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.628 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.628 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.628 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.628 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.628 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.628 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.628 * [taylor]: Taking taylor expansion of 1/2 in n 6.628 * [backup-simplify]: Simplify 1/2 into 1/2 6.628 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.628 * [taylor]: Taking taylor expansion of n in n 6.628 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 1 into 1 6.629 * [backup-simplify]: Simplify (/ 1 1) into 1 6.629 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.629 * [taylor]: Taking taylor expansion of M in n 6.629 * [backup-simplify]: Simplify M into M 6.629 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.632 * [backup-simplify]: Simplify (+ 0 0) into 0 6.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.633 * [backup-simplify]: Simplify (- 0) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.635 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.635 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.635 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.635 * [taylor]: Taking taylor expansion of M in n 6.635 * [backup-simplify]: Simplify M into M 6.635 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.635 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.635 * [taylor]: Taking taylor expansion of 1/4 in n 6.635 * [backup-simplify]: Simplify 1/4 into 1/4 6.635 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.635 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.635 * [taylor]: Taking taylor expansion of n in n 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (* 1 1) into 1 6.636 * [backup-simplify]: Simplify (/ 1 1) into 1 6.636 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.636 * [taylor]: Taking taylor expansion of (* M n) in n 6.636 * [taylor]: Taking taylor expansion of M in n 6.636 * [backup-simplify]: Simplify M into M 6.636 * [taylor]: Taking taylor expansion of n in n 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 1 into 1 6.636 * [backup-simplify]: Simplify (* M 0) into 0 6.637 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.637 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.637 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.638 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.638 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.638 * [taylor]: Taking taylor expansion of 1/4 in M 6.638 * [backup-simplify]: Simplify 1/4 into 1/4 6.639 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.639 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.639 * [taylor]: Taking taylor expansion of 1/2 in M 6.639 * [backup-simplify]: Simplify 1/2 into 1/2 6.639 * [taylor]: Taking taylor expansion of 1/4 in M 6.639 * [backup-simplify]: Simplify 1/4 into 1/4 6.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.644 * [backup-simplify]: Simplify (- 0) into 0 6.644 * [backup-simplify]: Simplify (+ 0 0) into 0 6.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 6.645 * [taylor]: Taking taylor expansion of 0 in n 6.645 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.648 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.648 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.648 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.648 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.648 * [taylor]: Taking taylor expansion of M in M 6.648 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify 1 into 1 6.649 * [backup-simplify]: Simplify (/ 1 1) into 1 6.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.651 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.651 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.651 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.651 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.651 * [taylor]: Taking taylor expansion of M in M 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (/ 1 1) into 1 6.651 * [taylor]: Taking taylor expansion of 0 in M 6.651 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.656 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.656 * [backup-simplify]: Simplify (- 0) into 0 6.657 * [backup-simplify]: Simplify (+ 0 0) into 0 6.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 6.658 * [taylor]: Taking taylor expansion of 0 in n 6.658 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.661 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.662 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.663 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.663 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.663 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.663 * [taylor]: Taking taylor expansion of M in M 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 1 into 1 6.663 * [backup-simplify]: Simplify (* 1 1) into 1 6.664 * [backup-simplify]: Simplify (/ 1 1) into 1 6.664 * [backup-simplify]: Simplify 1 into 1 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.666 * [backup-simplify]: Simplify (- 0) into 0 6.667 * [backup-simplify]: Simplify (+ 0 0) into 0 6.667 * [taylor]: Taking taylor expansion of 0 in M 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [taylor]: Taking taylor expansion of 0 in M 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (- 1) into -1 6.667 * [backup-simplify]: Simplify -1 into -1 6.668 * [backup-simplify]: Simplify (- 1) into -1 6.668 * [backup-simplify]: Simplify -1 into -1 6.669 * [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))) 6.669 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 6.669 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 6.669 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 6.669 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 6.670 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.670 * [taylor]: Taking taylor expansion of M in M 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 1 into 1 6.670 * [backup-simplify]: Simplify (/ 1 1) into 1 6.670 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.670 * [taylor]: Taking taylor expansion of 1/2 in M 6.670 * [backup-simplify]: Simplify 1/2 into 1/2 6.670 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.670 * [taylor]: Taking taylor expansion of m in M 6.670 * [backup-simplify]: Simplify m into m 6.670 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.670 * [taylor]: Taking taylor expansion of 1/2 in M 6.670 * [backup-simplify]: Simplify 1/2 into 1/2 6.670 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.670 * [taylor]: Taking taylor expansion of n in M 6.670 * [backup-simplify]: Simplify n into n 6.671 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.671 * [backup-simplify]: Simplify (+ 1 0) into 1 6.671 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 6.671 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 6.671 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.671 * [taylor]: Taking taylor expansion of M in n 6.671 * [backup-simplify]: Simplify M into M 6.671 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.671 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.671 * [taylor]: Taking taylor expansion of 1/2 in n 6.671 * [backup-simplify]: Simplify 1/2 into 1/2 6.671 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.672 * [taylor]: Taking taylor expansion of m in n 6.672 * [backup-simplify]: Simplify m into m 6.672 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.672 * [taylor]: Taking taylor expansion of 1/2 in n 6.672 * [backup-simplify]: Simplify 1/2 into 1/2 6.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.672 * [taylor]: Taking taylor expansion of n in n 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [backup-simplify]: Simplify (/ 1 1) into 1 6.673 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.673 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.674 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.674 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.674 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.674 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.674 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.674 * [taylor]: Taking taylor expansion of M in m 6.674 * [backup-simplify]: Simplify M into M 6.675 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.675 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.675 * [taylor]: Taking taylor expansion of 1/2 in m 6.675 * [backup-simplify]: Simplify 1/2 into 1/2 6.675 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.675 * [taylor]: Taking taylor expansion of m in m 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (/ 1 1) into 1 6.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.675 * [taylor]: Taking taylor expansion of 1/2 in m 6.675 * [backup-simplify]: Simplify 1/2 into 1/2 6.675 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.675 * [taylor]: Taking taylor expansion of n in m 6.675 * [backup-simplify]: Simplify n into n 6.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.676 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.676 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.677 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.677 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.677 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.677 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.677 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.677 * [taylor]: Taking taylor expansion of M in m 6.677 * [backup-simplify]: Simplify M into M 6.677 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.677 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.677 * [taylor]: Taking taylor expansion of 1/2 in m 6.677 * [backup-simplify]: Simplify 1/2 into 1/2 6.677 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.677 * [taylor]: Taking taylor expansion of m in m 6.677 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (/ 1 1) into 1 6.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.678 * [taylor]: Taking taylor expansion of 1/2 in m 6.678 * [backup-simplify]: Simplify 1/2 into 1/2 6.678 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.678 * [taylor]: Taking taylor expansion of n in m 6.678 * [backup-simplify]: Simplify n into n 6.678 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.679 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.679 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.679 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.680 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.680 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 6.680 * [taylor]: Taking taylor expansion of 1/4 in n 6.680 * [backup-simplify]: Simplify 1/4 into 1/4 6.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.682 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.682 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.682 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 6.682 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 6.683 * [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)) 6.683 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.683 * [taylor]: Taking taylor expansion of 1/2 in n 6.683 * [backup-simplify]: Simplify 1/2 into 1/2 6.683 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.683 * [taylor]: Taking taylor expansion of n in n 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (/ 1 1) into 1 6.683 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.683 * [taylor]: Taking taylor expansion of M in n 6.683 * [backup-simplify]: Simplify M into M 6.683 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.686 * [backup-simplify]: Simplify (+ 0 0) into 0 6.687 * [backup-simplify]: Simplify (- 0) into 0 6.687 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [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))) 6.688 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.688 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.688 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.688 * [taylor]: Taking taylor expansion of M in n 6.688 * [backup-simplify]: Simplify M into M 6.689 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.689 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.689 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.689 * [taylor]: Taking taylor expansion of 1/4 in n 6.689 * [backup-simplify]: Simplify 1/4 into 1/4 6.689 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.689 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 1 into 1 6.689 * [backup-simplify]: Simplify (* 1 1) into 1 6.690 * [backup-simplify]: Simplify (/ 1 1) into 1 6.690 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.690 * [taylor]: Taking taylor expansion of (* M n) in n 6.690 * [taylor]: Taking taylor expansion of M in n 6.690 * [backup-simplify]: Simplify M into M 6.690 * [taylor]: Taking taylor expansion of n in n 6.690 * [backup-simplify]: Simplify 0 into 0 6.690 * [backup-simplify]: Simplify 1 into 1 6.690 * [backup-simplify]: Simplify (* M 0) into 0 6.690 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.690 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.691 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.691 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.692 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.692 * [taylor]: Taking taylor expansion of 1/4 in M 6.692 * [backup-simplify]: Simplify 1/4 into 1/4 6.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.693 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.693 * [taylor]: Taking taylor expansion of 1/2 in M 6.693 * [backup-simplify]: Simplify 1/2 into 1/2 6.693 * [taylor]: Taking taylor expansion of 1/4 in M 6.693 * [backup-simplify]: Simplify 1/4 into 1/4 6.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.697 * [backup-simplify]: Simplify (+ 0 0) into 0 6.697 * [backup-simplify]: Simplify (- 0) into 0 6.697 * [backup-simplify]: Simplify (+ 0 0) into 0 6.698 * [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 6.698 * [taylor]: Taking taylor expansion of 0 in n 6.698 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.701 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.701 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.701 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.701 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.701 * [taylor]: Taking taylor expansion of M in M 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.702 * [backup-simplify]: Simplify (/ 1 1) into 1 6.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.703 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.704 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.704 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.704 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.704 * [taylor]: Taking taylor expansion of M in M 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.704 * [backup-simplify]: Simplify (/ 1 1) into 1 6.704 * [taylor]: Taking taylor expansion of 0 in M 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [backup-simplify]: Simplify (- 0) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [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 6.711 * [taylor]: Taking taylor expansion of 0 in n 6.711 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.714 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.714 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.715 * [backup-simplify]: Simplify (- 0) into 0 6.715 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.715 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.715 * [taylor]: Taking taylor expansion of M in M 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [backup-simplify]: Simplify 1 into 1 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.718 * [backup-simplify]: Simplify (- 0) into 0 6.719 * [backup-simplify]: Simplify (+ 0 0) into 0 6.719 * [taylor]: Taking taylor expansion of 0 in M 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [taylor]: Taking taylor expansion of 0 in M 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify (- 1) into -1 6.719 * [backup-simplify]: Simplify -1 into -1 6.720 * [backup-simplify]: Simplify (- 1) into -1 6.720 * [backup-simplify]: Simplify -1 into -1 6.721 * [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))) 6.721 * * * [progress]: simplifying candidates 6.721 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 6.721 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 6.722 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 6.723 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 6.724 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 6.725 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 6.725 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 6.727 * [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))) (+ (* 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))) 6.729 * * [simplify]: iteration 1: (94 enodes) 6.773 * * [simplify]: iteration 2: (269 enodes) 6.900 * * [simplify]: iteration 3: (933 enodes) 7.488 * * [simplify]: Extracting #0: cost 35 inf + 0 7.490 * * [simplify]: Extracting #1: cost 534 inf + 2 7.502 * * [simplify]: Extracting #2: cost 1474 inf + 130 7.513 * * [simplify]: Extracting #3: cost 1599 inf + 4079 7.539 * * [simplify]: Extracting #4: cost 1204 inf + 79262 7.643 * * [simplify]: Extracting #5: cost 220 inf + 346348 7.769 * * [simplify]: Extracting #6: cost 8 inf + 399091 7.917 * * [simplify]: Extracting #7: cost 0 inf + 399283 8.067 * * [simplify]: Extracting #8: cost 0 inf + 399123 8.213 * [simplify]: Simplified to: 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (* 2 (log (- (/ (+ n m) 2) M))) (* 2 (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* M (* M M))) (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* M (* M M)))) (* (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M))) (* (* (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* M (* M M))) (+ M (/ (+ n m) 2))) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M))) (* (* (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* M (* M M))) (+ M (/ (+ n m) 2))) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ 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) M) (/ (+ n m) 2)) (- (* (- (/ (+ n m) 2) M) M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (- (* (- (/ (+ n m) 2) M) M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (- (* (- (/ (+ n m) 2) M) M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (- (* (- (/ (+ n m) 2) M) M)) (* (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* M (* M M))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* M (* M M))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* n (+ (* n 1/4) (* 1/2 m))) (* 1/4 (* m m))) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) 8.219 * * * [progress]: adding candidates to table 8.913 * * [progress]: iteration 3 / 4 8.913 * * * [progress]: picking best candidate 8.969 * * * * [pick]: Picked #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 8.969 * * * [progress]: localizing error 9.027 * * * [progress]: generating rewritten candidates 9.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 9.027 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1 1 1) 9.228 * * * [progress]: generating series expansions 9.228 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 9.228 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 9.228 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 9.228 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 9.228 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 9.228 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 9.228 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 9.228 * [taylor]: Taking taylor expansion of 1/2 in M 9.228 * [backup-simplify]: Simplify 1/2 into 1/2 9.228 * [taylor]: Taking taylor expansion of m in M 9.228 * [backup-simplify]: Simplify m into m 9.229 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 9.229 * [taylor]: Taking taylor expansion of 1/2 in M 9.229 * [backup-simplify]: Simplify 1/2 into 1/2 9.229 * [taylor]: Taking taylor expansion of n in M 9.229 * [backup-simplify]: Simplify n into n 9.229 * [taylor]: Taking taylor expansion of M in M 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 9.229 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.229 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 9.229 * [backup-simplify]: Simplify (- 0) into 0 9.229 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 9.229 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 9.229 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 9.229 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 9.229 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 9.229 * [taylor]: Taking taylor expansion of 1/2 in n 9.230 * [backup-simplify]: Simplify 1/2 into 1/2 9.230 * [taylor]: Taking taylor expansion of m in n 9.230 * [backup-simplify]: Simplify m into m 9.230 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.230 * [taylor]: Taking taylor expansion of 1/2 in n 9.230 * [backup-simplify]: Simplify 1/2 into 1/2 9.230 * [taylor]: Taking taylor expansion of n in n 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.230 * [taylor]: Taking taylor expansion of M in n 9.230 * [backup-simplify]: Simplify M into M 9.230 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 9.230 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.230 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 9.230 * [backup-simplify]: Simplify (- M) into (- M) 9.230 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 9.230 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 9.230 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 9.230 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 9.230 * [taylor]: Taking taylor expansion of (* 1/2 m) 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 m in m 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.230 * [taylor]: Taking taylor expansion of (* 1/2 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 n in m 9.230 * [backup-simplify]: Simplify n into n 9.230 * [taylor]: Taking taylor expansion of M in m 9.230 * [backup-simplify]: Simplify M into M 9.231 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.231 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.231 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 9.231 * [backup-simplify]: Simplify (- M) into (- M) 9.231 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 9.231 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 9.231 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 9.231 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 9.231 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 9.231 * [taylor]: Taking taylor expansion of 1/2 in m 9.231 * [backup-simplify]: Simplify 1/2 into 1/2 9.231 * [taylor]: Taking taylor expansion of m in m 9.231 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify 1 into 1 9.231 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 9.231 * [taylor]: Taking taylor expansion of 1/2 in m 9.231 * [backup-simplify]: Simplify 1/2 into 1/2 9.231 * [taylor]: Taking taylor expansion of n in m 9.231 * [backup-simplify]: Simplify n into n 9.231 * [taylor]: Taking taylor expansion of M in m 9.231 * [backup-simplify]: Simplify M into M 9.231 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.231 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.231 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 9.232 * [backup-simplify]: Simplify (- M) into (- M) 9.232 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 9.232 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 9.232 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 9.232 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 9.232 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.232 * [taylor]: Taking taylor expansion of 1/2 in n 9.232 * [backup-simplify]: Simplify 1/2 into 1/2 9.232 * [taylor]: Taking taylor expansion of n in n 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [taylor]: Taking taylor expansion of M in n 9.232 * [backup-simplify]: Simplify M into M 9.232 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.232 * [backup-simplify]: Simplify (- M) into (- M) 9.232 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.232 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 9.232 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.232 * [taylor]: Taking taylor expansion of M in M 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.233 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 9.233 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.234 * [backup-simplify]: Simplify (- 0) into 0 9.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.234 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 9.234 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 9.234 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.234 * [taylor]: Taking taylor expansion of 1/2 in n 9.234 * [backup-simplify]: Simplify 1/2 into 1/2 9.234 * [taylor]: Taking taylor expansion of n in n 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 1 into 1 9.234 * [taylor]: Taking taylor expansion of M in n 9.234 * [backup-simplify]: Simplify M into M 9.235 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.235 * [backup-simplify]: Simplify (- M) into (- M) 9.235 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.235 * [taylor]: Taking taylor expansion of (- M) in M 9.235 * [taylor]: Taking taylor expansion of M in M 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (- 0) into 0 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.236 * [backup-simplify]: Simplify (- 0) into 0 9.236 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.236 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 9.236 * [taylor]: Taking taylor expansion of (- M) in M 9.236 * [taylor]: Taking taylor expansion of M in M 9.236 * [backup-simplify]: Simplify 0 into 0 9.236 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (- 0) into 0 9.236 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.238 * [backup-simplify]: Simplify (- 0) into 0 9.238 * [backup-simplify]: Simplify (+ 0 0) into 0 9.238 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 9.239 * [taylor]: Taking taylor expansion of 1/4 in n 9.239 * [backup-simplify]: Simplify 1/4 into 1/4 9.239 * [taylor]: Taking taylor expansion of 1/4 in M 9.239 * [backup-simplify]: Simplify 1/4 into 1/4 9.239 * [backup-simplify]: Simplify 1/4 into 1/4 9.239 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.239 * [backup-simplify]: Simplify (- 0) into 0 9.240 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.240 * [taylor]: Taking taylor expansion of 1/2 in M 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [backup-simplify]: Simplify 1/2 into 1/2 9.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.241 * [backup-simplify]: Simplify (- 0) into 0 9.241 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 9.241 * [taylor]: Taking taylor expansion of 1/4 in M 9.241 * [backup-simplify]: Simplify 1/4 into 1/4 9.241 * [backup-simplify]: Simplify 1/4 into 1/4 9.242 * [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)))) 9.242 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ (/ 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) 9.242 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 9.242 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 9.242 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 9.242 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.242 * [taylor]: Taking taylor expansion of 1/2 in M 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.242 * [taylor]: Taking taylor expansion of m in M 9.242 * [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 n)) in M 9.242 * [taylor]: Taking taylor expansion of 1/2 in M 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.242 * [taylor]: Taking taylor expansion of n in M 9.242 * [backup-simplify]: Simplify n into n 9.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.242 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.242 * [taylor]: Taking taylor expansion of M in M 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [backup-simplify]: Simplify (- 1) into -1 9.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.243 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 9.243 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 9.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.243 * [taylor]: Taking taylor expansion of 1/2 in n 9.243 * [backup-simplify]: Simplify 1/2 into 1/2 9.243 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.243 * [taylor]: Taking taylor expansion of m in n 9.243 * [backup-simplify]: Simplify m into m 9.243 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.243 * [taylor]: Taking taylor expansion of 1/2 in n 9.243 * [backup-simplify]: Simplify 1/2 into 1/2 9.243 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.243 * [taylor]: Taking taylor expansion of n in n 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 9.244 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.244 * [taylor]: Taking taylor expansion of M in n 9.244 * [backup-simplify]: Simplify M into M 9.244 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.244 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.244 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.244 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.244 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 9.244 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 9.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.245 * [taylor]: Taking taylor expansion of 1/2 in m 9.245 * [backup-simplify]: Simplify 1/2 into 1/2 9.245 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.245 * [taylor]: Taking taylor expansion of m in m 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.245 * [backup-simplify]: Simplify (/ 1 1) into 1 9.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.245 * [taylor]: Taking taylor expansion of 1/2 in m 9.245 * [backup-simplify]: Simplify 1/2 into 1/2 9.245 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.245 * [taylor]: Taking taylor expansion of n in m 9.245 * [backup-simplify]: Simplify n into n 9.245 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.245 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.245 * [taylor]: Taking taylor expansion of M in m 9.245 * [backup-simplify]: Simplify M into M 9.245 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.245 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.246 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.246 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.246 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 9.246 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 9.246 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 m) in 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 (/ 1 1) into 1 9.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 n) in m 9.246 * [taylor]: Taking taylor expansion of n in m 9.246 * [backup-simplify]: Simplify n into n 9.246 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.246 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.246 * [taylor]: Taking taylor expansion of M in m 9.246 * [backup-simplify]: Simplify M into M 9.246 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.247 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.247 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.248 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.248 * [taylor]: Taking taylor expansion of 1/4 in n 9.248 * [backup-simplify]: Simplify 1/4 into 1/4 9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.249 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.249 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.249 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.249 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 9.249 * [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)) 9.249 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 n) in n 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 * [backup-simplify]: Simplify (/ 1 1) into 1 9.249 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.249 * [taylor]: Taking taylor expansion of M in n 9.249 * [backup-simplify]: Simplify M into M 9.249 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.251 * [backup-simplify]: Simplify (+ 0 0) into 0 9.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.252 * [backup-simplify]: Simplify (- 0) into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.253 * [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))) 9.253 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 9.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.253 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.253 * [taylor]: Taking taylor expansion of (pow M 2) in n 9.253 * [taylor]: Taking taylor expansion of M in n 9.253 * [backup-simplify]: Simplify M into M 9.253 * [backup-simplify]: Simplify (* M M) into (pow M 2) 9.253 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.253 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.253 * [taylor]: Taking taylor expansion of 1/4 in n 9.253 * [backup-simplify]: Simplify 1/4 into 1/4 9.253 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.253 * [taylor]: Taking taylor expansion of (pow n 2) in n 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 * [backup-simplify]: Simplify (* 1 1) into 1 9.254 * [backup-simplify]: Simplify (/ 1 1) into 1 9.254 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.254 * [taylor]: Taking taylor expansion of (* M n) in n 9.254 * [taylor]: Taking taylor expansion of M in n 9.254 * [backup-simplify]: Simplify M into M 9.254 * [taylor]: Taking taylor expansion of n in n 9.254 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify 1 into 1 9.254 * [backup-simplify]: Simplify (* M 0) into 0 9.254 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.254 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.254 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.255 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.255 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.255 * [taylor]: Taking taylor expansion of 1/4 in M 9.255 * [backup-simplify]: Simplify 1/4 into 1/4 9.255 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.256 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.256 * [taylor]: Taking taylor expansion of 1/2 in M 9.256 * [backup-simplify]: Simplify 1/2 into 1/2 9.256 * [taylor]: Taking taylor expansion of 1/4 in M 9.256 * [backup-simplify]: Simplify 1/4 into 1/4 9.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.258 * [backup-simplify]: Simplify (+ 0 0) into 0 9.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.259 * [backup-simplify]: Simplify (- 0) into 0 9.259 * [backup-simplify]: Simplify (+ 0 0) into 0 9.260 * [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 9.260 * [taylor]: Taking taylor expansion of 0 in n 9.260 * [backup-simplify]: Simplify 0 into 0 9.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.261 * [backup-simplify]: Simplify (+ 0 0) into 0 9.261 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.261 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.261 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.261 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.261 * [taylor]: Taking taylor expansion of M in M 9.261 * [backup-simplify]: Simplify 0 into 0 9.261 * [backup-simplify]: Simplify 1 into 1 9.262 * [backup-simplify]: Simplify (/ 1 1) into 1 9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.263 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.263 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.263 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.263 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.263 * [taylor]: Taking taylor expansion of M in M 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.263 * [backup-simplify]: Simplify (/ 1 1) into 1 9.263 * [taylor]: Taking taylor expansion of 0 in M 9.263 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.265 * [backup-simplify]: Simplify (+ 0 0) into 0 9.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.266 * [backup-simplify]: Simplify (- 0) into 0 9.266 * [backup-simplify]: Simplify (+ 0 0) into 0 9.267 * [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 9.267 * [taylor]: Taking taylor expansion of 0 in n 9.267 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.269 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.270 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.270 * [backup-simplify]: Simplify (- 0) into 0 9.270 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.270 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.270 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.270 * [taylor]: Taking taylor expansion of M in M 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 1 into 1 9.270 * [backup-simplify]: Simplify (* 1 1) into 1 9.271 * [backup-simplify]: Simplify (/ 1 1) into 1 9.271 * [backup-simplify]: Simplify 1 into 1 9.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.273 * [backup-simplify]: Simplify (- 0) into 0 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.274 * [taylor]: Taking taylor expansion of 0 in M 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [taylor]: Taking taylor expansion of 0 in M 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify (- 1) into -1 9.274 * [backup-simplify]: Simplify -1 into -1 9.275 * [backup-simplify]: Simplify (- 1) into -1 9.275 * [backup-simplify]: Simplify -1 into -1 9.276 * [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))) 9.276 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ (/ 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) 9.276 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 9.276 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 9.276 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 9.276 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.276 * [taylor]: Taking taylor expansion of M in M 9.276 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify 1 into 1 9.277 * [backup-simplify]: Simplify (/ 1 1) into 1 9.277 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.277 * [taylor]: Taking taylor expansion of 1/2 in M 9.277 * [backup-simplify]: Simplify 1/2 into 1/2 9.277 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.277 * [taylor]: Taking taylor expansion of m in M 9.277 * [backup-simplify]: Simplify m into m 9.277 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.277 * [taylor]: Taking taylor expansion of 1/2 in M 9.277 * [backup-simplify]: Simplify 1/2 into 1/2 9.277 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.277 * [taylor]: Taking taylor expansion of n in M 9.277 * [backup-simplify]: Simplify n into n 9.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.278 * [backup-simplify]: Simplify (+ 1 0) into 1 9.278 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 9.278 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 9.278 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.278 * [taylor]: Taking taylor expansion of M in n 9.278 * [backup-simplify]: Simplify M into M 9.278 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.278 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.278 * [taylor]: Taking taylor expansion of 1/2 in n 9.278 * [backup-simplify]: Simplify 1/2 into 1/2 9.278 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.278 * [taylor]: Taking taylor expansion of m in n 9.278 * [backup-simplify]: Simplify m into m 9.278 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.279 * [taylor]: Taking taylor expansion of 1/2 in n 9.279 * [backup-simplify]: Simplify 1/2 into 1/2 9.279 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.279 * [taylor]: Taking taylor expansion of n in n 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [backup-simplify]: Simplify (/ 1 1) into 1 9.280 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.280 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.280 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.281 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.281 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 9.281 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.281 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.281 * [taylor]: Taking taylor expansion of M in m 9.281 * [backup-simplify]: Simplify M into M 9.281 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.281 * [taylor]: Taking taylor expansion of 1/2 in m 9.281 * [backup-simplify]: Simplify 1/2 into 1/2 9.281 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.281 * [taylor]: Taking taylor expansion of m in m 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 1 into 1 9.282 * [backup-simplify]: Simplify (/ 1 1) into 1 9.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.282 * [taylor]: Taking taylor expansion of 1/2 in m 9.282 * [backup-simplify]: Simplify 1/2 into 1/2 9.282 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.282 * [taylor]: Taking taylor expansion of n in m 9.282 * [backup-simplify]: Simplify n into n 9.282 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.283 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.283 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.284 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.284 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.284 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 9.284 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.284 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.284 * [taylor]: Taking taylor expansion of M in m 9.284 * [backup-simplify]: Simplify M into M 9.284 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.284 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.284 * [taylor]: Taking taylor expansion of 1/2 in m 9.284 * [backup-simplify]: Simplify 1/2 into 1/2 9.284 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.284 * [taylor]: Taking taylor expansion of m in m 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.289 * [backup-simplify]: Simplify (/ 1 1) into 1 9.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.289 * [taylor]: Taking taylor expansion of 1/2 in m 9.289 * [backup-simplify]: Simplify 1/2 into 1/2 9.289 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.289 * [taylor]: Taking taylor expansion of n in m 9.289 * [backup-simplify]: Simplify n into n 9.289 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.290 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.291 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.291 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.291 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.292 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 9.292 * [taylor]: Taking taylor expansion of 1/4 in n 9.292 * [backup-simplify]: Simplify 1/4 into 1/4 9.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.294 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.294 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.294 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 9.294 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 9.294 * [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)) 9.295 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.295 * [taylor]: Taking taylor expansion of 1/2 in n 9.295 * [backup-simplify]: Simplify 1/2 into 1/2 9.295 * [taylor]: Taking taylor expansion of (/ 1 n) in n 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 (/ 1 1) into 1 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) 9.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.299 * [backup-simplify]: Simplify (+ 0 0) into 0 9.299 * [backup-simplify]: Simplify (- 0) into 0 9.300 * [backup-simplify]: Simplify (+ 0 0) into 0 9.301 * [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))) 9.301 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 9.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.301 * [taylor]: Taking taylor expansion of (pow M 2) 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 (* M M) into (pow M 2) 9.301 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.301 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.301 * [taylor]: Taking taylor expansion of 1/4 in n 9.301 * [backup-simplify]: Simplify 1/4 into 1/4 9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.301 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.301 * [taylor]: Taking taylor expansion of n in n 9.301 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify 1 into 1 9.302 * [backup-simplify]: Simplify (* 1 1) into 1 9.302 * [backup-simplify]: Simplify (/ 1 1) into 1 9.302 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.302 * [taylor]: Taking taylor expansion of (* M n) in n 9.302 * [taylor]: Taking taylor expansion of M in n 9.302 * [backup-simplify]: Simplify M into M 9.302 * [taylor]: Taking taylor expansion of n in n 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 9.303 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.303 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.303 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.304 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.304 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.304 * [taylor]: Taking taylor expansion of 1/4 in M 9.304 * [backup-simplify]: Simplify 1/4 into 1/4 9.305 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.305 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 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 1/4 in M 9.305 * [backup-simplify]: Simplify 1/4 into 1/4 9.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.309 * [backup-simplify]: Simplify (+ 0 0) into 0 9.310 * [backup-simplify]: Simplify (- 0) into 0 9.310 * [backup-simplify]: Simplify (+ 0 0) into 0 9.311 * [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 9.311 * [taylor]: Taking taylor expansion of 0 in n 9.311 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.314 * [backup-simplify]: Simplify (+ 0 0) into 0 9.314 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.314 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.314 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.314 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.314 * [taylor]: Taking taylor expansion of M in M 9.314 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify 1 into 1 9.315 * [backup-simplify]: Simplify (/ 1 1) into 1 9.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.317 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.317 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.317 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.317 * [taylor]: Taking taylor expansion of (/ 1 M) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 9.317 * [taylor]: Taking taylor expansion of 0 in M 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.322 * [backup-simplify]: Simplify (+ 0 0) into 0 9.323 * [backup-simplify]: Simplify (- 0) into 0 9.323 * [backup-simplify]: Simplify (+ 0 0) into 0 9.324 * [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 9.324 * [taylor]: Taking taylor expansion of 0 in n 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.326 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.326 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.326 * [backup-simplify]: Simplify (- 0) into 0 9.326 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.326 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.326 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.326 * [taylor]: Taking taylor expansion of M in M 9.326 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify 1 into 1 9.327 * [backup-simplify]: Simplify (* 1 1) into 1 9.327 * [backup-simplify]: Simplify (/ 1 1) into 1 9.327 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.328 * [backup-simplify]: Simplify (- 0) into 0 9.329 * [backup-simplify]: Simplify (+ 0 0) into 0 9.329 * [taylor]: Taking taylor expansion of 0 in M 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in M 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify (- 1) into -1 9.329 * [backup-simplify]: Simplify -1 into -1 9.329 * [backup-simplify]: Simplify (- 1) into -1 9.329 * [backup-simplify]: Simplify -1 into -1 9.330 * [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))) 9.330 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1 1 1) 9.330 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 9.330 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 9.330 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 9.330 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 9.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 9.330 * [taylor]: Taking taylor expansion of (* 1/2 m) 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 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 9.331 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 9.331 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.331 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 9.331 * [backup-simplify]: Simplify (- 0) into 0 9.331 * [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) 9.332 * [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 9.332 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.332 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 9.332 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 9.332 * [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 9.333 * [taylor]: Taking taylor expansion of M in m 9.333 * [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 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 9.333 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 9.333 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 9.333 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.333 * [taylor]: Taking taylor expansion of 1/2 in n 9.333 * [backup-simplify]: Simplify 1/2 into 1/2 9.333 * [taylor]: Taking taylor expansion of n in n 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [taylor]: Taking taylor expansion of M in n 9.334 * [backup-simplify]: Simplify M into M 9.334 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.334 * [backup-simplify]: Simplify (- M) into (- M) 9.334 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.334 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 9.334 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.334 * [taylor]: Taking taylor expansion of M in M 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.334 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 9.335 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.335 * [backup-simplify]: Simplify (- 0) into 0 9.336 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.336 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 9.336 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 9.336 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 9.336 * [taylor]: Taking taylor expansion of 1/2 in n 9.336 * [backup-simplify]: Simplify 1/2 into 1/2 9.336 * [taylor]: Taking taylor expansion of n in n 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [taylor]: Taking taylor expansion of M in n 9.336 * [backup-simplify]: Simplify M into M 9.336 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.336 * [backup-simplify]: Simplify (- M) into (- M) 9.336 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.336 * [taylor]: Taking taylor expansion of (- M) 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 (- 0) into 0 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.337 * [backup-simplify]: Simplify (- 0) into 0 9.337 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.338 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 9.338 * [taylor]: Taking taylor expansion of (- M) in M 9.338 * [taylor]: Taking taylor expansion of M in M 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (- 0) into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 9.339 * [backup-simplify]: Simplify (+ 0 0) into 0 9.340 * [backup-simplify]: Simplify (- 0) into 0 9.340 * [backup-simplify]: Simplify (+ 0 0) into 0 9.340 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 9.340 * [taylor]: Taking taylor expansion of 1/4 in n 9.340 * [backup-simplify]: Simplify 1/4 into 1/4 9.340 * [taylor]: Taking taylor expansion of 1/4 in M 9.340 * [backup-simplify]: Simplify 1/4 into 1/4 9.340 * [backup-simplify]: Simplify 1/4 into 1/4 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 * [taylor]: Taking taylor expansion of 1/2 in M 9.341 * [backup-simplify]: Simplify 1/2 into 1/2 9.341 * [backup-simplify]: Simplify 1/2 into 1/2 9.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.342 * [backup-simplify]: Simplify (- 0) into 0 9.342 * [backup-simplify]: Simplify (+ 0 0) into 0 9.343 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 9.343 * [taylor]: Taking taylor expansion of 1/4 in M 9.343 * [backup-simplify]: Simplify 1/4 into 1/4 9.343 * [backup-simplify]: Simplify 1/4 into 1/4 9.343 * [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)))) 9.343 * [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) 9.343 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 9.343 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 9.343 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 9.343 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.343 * [taylor]: Taking taylor expansion of 1/2 in M 9.343 * [backup-simplify]: Simplify 1/2 into 1/2 9.343 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.343 * [taylor]: Taking taylor expansion of m in M 9.343 * [backup-simplify]: Simplify m into m 9.343 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.343 * [taylor]: Taking taylor expansion of 1/2 in M 9.344 * [backup-simplify]: Simplify 1/2 into 1/2 9.344 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.344 * [taylor]: Taking taylor expansion of n in M 9.344 * [backup-simplify]: Simplify n into n 9.344 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.344 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.344 * [taylor]: Taking taylor expansion of M in M 9.344 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify 1 into 1 9.344 * [backup-simplify]: Simplify (/ 1 1) into 1 9.344 * [backup-simplify]: Simplify (- 1) into -1 9.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.344 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 9.344 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 9.345 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.345 * [taylor]: Taking taylor expansion of 1/2 in n 9.345 * [backup-simplify]: Simplify 1/2 into 1/2 9.345 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.345 * [taylor]: Taking taylor expansion of m in n 9.345 * [backup-simplify]: Simplify m into m 9.345 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.345 * [taylor]: Taking taylor expansion of 1/2 in n 9.345 * [backup-simplify]: Simplify 1/2 into 1/2 9.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.345 * [taylor]: Taking taylor expansion of n in n 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.345 * [backup-simplify]: Simplify (/ 1 1) into 1 9.345 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.345 * [taylor]: Taking taylor expansion of M in n 9.345 * [backup-simplify]: Simplify M into M 9.345 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.345 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.346 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.346 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.346 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 9.346 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 9.346 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.346 * [taylor]: Taking taylor expansion of 1/2 in m 9.346 * [backup-simplify]: Simplify 1/2 into 1/2 9.346 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.346 * [taylor]: Taking taylor expansion of m in m 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [backup-simplify]: Simplify (/ 1 1) into 1 9.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.346 * [taylor]: Taking taylor expansion of 1/2 in m 9.346 * [backup-simplify]: Simplify 1/2 into 1/2 9.346 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.346 * [taylor]: Taking taylor expansion of n in m 9.346 * [backup-simplify]: Simplify n into n 9.346 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.347 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.347 * [taylor]: Taking taylor expansion of M in m 9.347 * [backup-simplify]: Simplify M into M 9.347 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.347 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.347 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 9.347 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 9.347 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.348 * [taylor]: Taking taylor expansion of 1/2 in m 9.348 * [backup-simplify]: Simplify 1/2 into 1/2 9.348 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.348 * [taylor]: Taking taylor expansion of m in m 9.348 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify 1 into 1 9.348 * [backup-simplify]: Simplify (/ 1 1) into 1 9.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.348 * [taylor]: Taking taylor expansion of 1/2 in m 9.348 * [backup-simplify]: Simplify 1/2 into 1/2 9.348 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.348 * [taylor]: Taking taylor expansion of n in m 9.348 * [backup-simplify]: Simplify n into n 9.348 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.348 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.348 * [taylor]: Taking taylor expansion of M in m 9.348 * [backup-simplify]: Simplify M into M 9.348 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.348 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.349 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.349 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.349 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 9.349 * [taylor]: Taking taylor expansion of 1/4 in n 9.349 * [backup-simplify]: Simplify 1/4 into 1/4 9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.350 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.350 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.350 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.351 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 9.351 * [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)) 9.351 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.351 * [taylor]: Taking taylor expansion of 1/2 in n 9.351 * [backup-simplify]: Simplify 1/2 into 1/2 9.351 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.351 * [taylor]: Taking taylor expansion of n in n 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 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.352 * [taylor]: Taking taylor expansion of M in n 9.352 * [backup-simplify]: Simplify M into M 9.352 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.355 * [backup-simplify]: Simplify (+ 0 0) into 0 9.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.356 * [backup-simplify]: Simplify (- 0) into 0 9.356 * [backup-simplify]: Simplify (+ 0 0) into 0 9.358 * [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))) 9.358 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 9.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.358 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.358 * [taylor]: Taking taylor expansion of (pow M 2) in n 9.358 * [taylor]: Taking taylor expansion of M in n 9.358 * [backup-simplify]: Simplify M into M 9.358 * [backup-simplify]: Simplify (* M M) into (pow M 2) 9.358 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.358 * [taylor]: Taking taylor expansion of 1/4 in n 9.358 * [backup-simplify]: Simplify 1/4 into 1/4 9.358 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.358 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.358 * [taylor]: Taking taylor expansion of n in n 9.358 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify 1 into 1 9.359 * [backup-simplify]: Simplify (* 1 1) into 1 9.359 * [backup-simplify]: Simplify (/ 1 1) into 1 9.359 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.359 * [taylor]: Taking taylor expansion of (* M n) in n 9.359 * [taylor]: Taking taylor expansion of M in n 9.360 * [backup-simplify]: Simplify M into M 9.360 * [taylor]: Taking taylor expansion of n in n 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.360 * [backup-simplify]: Simplify (* M 0) into 0 9.360 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.360 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.361 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.361 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.362 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.362 * [taylor]: Taking taylor expansion of 1/4 in M 9.362 * [backup-simplify]: Simplify 1/4 into 1/4 9.362 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.363 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.363 * [taylor]: Taking taylor expansion of 1/2 in M 9.363 * [backup-simplify]: Simplify 1/2 into 1/2 9.363 * [taylor]: Taking taylor expansion of 1/4 in M 9.363 * [backup-simplify]: Simplify 1/4 into 1/4 9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.367 * [backup-simplify]: Simplify (- 0) into 0 9.368 * [backup-simplify]: Simplify (+ 0 0) into 0 9.369 * [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 9.369 * [taylor]: Taking taylor expansion of 0 in n 9.369 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.372 * [backup-simplify]: Simplify (+ 0 0) into 0 9.373 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.373 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.373 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.373 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.373 * [taylor]: Taking taylor expansion of M in M 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify 1 into 1 9.373 * [backup-simplify]: Simplify (/ 1 1) into 1 9.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.375 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.375 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.375 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.375 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.375 * [taylor]: Taking taylor expansion of M in M 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.376 * [backup-simplify]: Simplify (/ 1 1) into 1 9.376 * [taylor]: Taking taylor expansion of 0 in M 9.376 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.381 * [backup-simplify]: Simplify (+ 0 0) into 0 9.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.382 * [backup-simplify]: Simplify (- 0) into 0 9.382 * [backup-simplify]: Simplify (+ 0 0) into 0 9.383 * [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 9.384 * [taylor]: Taking taylor expansion of 0 in n 9.384 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.387 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.388 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.388 * [backup-simplify]: Simplify (- 0) into 0 9.388 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.388 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.388 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.388 * [taylor]: Taking taylor expansion of M in M 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 1 into 1 9.389 * [backup-simplify]: Simplify (* 1 1) into 1 9.389 * [backup-simplify]: Simplify (/ 1 1) into 1 9.389 * [backup-simplify]: Simplify 1 into 1 9.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.392 * [backup-simplify]: Simplify (- 0) into 0 9.392 * [backup-simplify]: Simplify (+ 0 0) into 0 9.392 * [taylor]: Taking taylor expansion of 0 in M 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [taylor]: Taking taylor expansion of 0 in M 9.392 * [backup-simplify]: Simplify 0 into 0 9.393 * [backup-simplify]: Simplify (- 1) into -1 9.393 * [backup-simplify]: Simplify -1 into -1 9.393 * [backup-simplify]: Simplify (- 1) into -1 9.393 * [backup-simplify]: Simplify -1 into -1 9.394 * [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))) 9.395 * [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) 9.395 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 9.395 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 9.395 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 9.395 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.395 * [taylor]: Taking taylor expansion of M in M 9.395 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify 1 into 1 9.395 * [backup-simplify]: Simplify (/ 1 1) into 1 9.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.395 * [taylor]: Taking taylor expansion of 1/2 in M 9.395 * [backup-simplify]: Simplify 1/2 into 1/2 9.395 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.396 * [taylor]: Taking taylor expansion of m in M 9.396 * [backup-simplify]: Simplify m into m 9.396 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.396 * [taylor]: Taking taylor expansion of 1/2 in M 9.396 * [backup-simplify]: Simplify 1/2 into 1/2 9.396 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.396 * [taylor]: Taking taylor expansion of n in M 9.396 * [backup-simplify]: Simplify n into n 9.396 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.396 * [backup-simplify]: Simplify (+ 1 0) into 1 9.396 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 9.396 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 9.396 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.396 * [taylor]: Taking taylor expansion of M in n 9.396 * [backup-simplify]: Simplify M into M 9.396 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.396 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.397 * [taylor]: Taking taylor expansion of 1/2 in n 9.397 * [backup-simplify]: Simplify 1/2 into 1/2 9.397 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.397 * [taylor]: Taking taylor expansion of m in n 9.397 * [backup-simplify]: Simplify m into m 9.397 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.397 * [taylor]: Taking taylor expansion of 1/2 in n 9.397 * [backup-simplify]: Simplify 1/2 into 1/2 9.397 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.397 * [taylor]: Taking taylor expansion of n in n 9.397 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify 1 into 1 9.397 * [backup-simplify]: Simplify (/ 1 1) into 1 9.398 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.398 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.399 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.399 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.399 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 9.399 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.399 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.399 * [taylor]: Taking taylor expansion of M in m 9.399 * [backup-simplify]: Simplify M into M 9.399 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.399 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.399 * [taylor]: Taking taylor expansion of 1/2 in m 9.399 * [backup-simplify]: Simplify 1/2 into 1/2 9.399 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.399 * [taylor]: Taking taylor expansion of m in m 9.399 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify 1 into 1 9.400 * [backup-simplify]: Simplify (/ 1 1) into 1 9.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.400 * [taylor]: Taking taylor expansion of 1/2 in m 9.400 * [backup-simplify]: Simplify 1/2 into 1/2 9.400 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.400 * [taylor]: Taking taylor expansion of n in m 9.400 * [backup-simplify]: Simplify n into n 9.400 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.400 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.401 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.401 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.402 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.402 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 9.402 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.402 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.402 * [taylor]: Taking taylor expansion of M in m 9.402 * [backup-simplify]: Simplify M into M 9.402 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.402 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.402 * [taylor]: Taking taylor expansion of 1/2 in m 9.402 * [backup-simplify]: Simplify 1/2 into 1/2 9.402 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.402 * [taylor]: Taking taylor expansion of m in m 9.402 * [backup-simplify]: Simplify 0 into 0 9.402 * [backup-simplify]: Simplify 1 into 1 9.403 * [backup-simplify]: Simplify (/ 1 1) into 1 9.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.403 * [taylor]: Taking taylor expansion of 1/2 in m 9.403 * [backup-simplify]: Simplify 1/2 into 1/2 9.403 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.403 * [taylor]: Taking taylor expansion of n in m 9.403 * [backup-simplify]: Simplify n into n 9.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.403 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.403 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.404 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.404 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.404 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 9.404 * [taylor]: Taking taylor expansion of 1/4 in n 9.404 * [backup-simplify]: Simplify 1/4 into 1/4 9.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.405 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.405 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.405 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 9.405 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 9.406 * [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)) 9.406 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.406 * [taylor]: Taking taylor expansion of 1/2 in n 9.406 * [backup-simplify]: Simplify 1/2 into 1/2 9.406 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.406 * [taylor]: Taking taylor expansion of n in n 9.406 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify 1 into 1 9.406 * [backup-simplify]: Simplify (/ 1 1) into 1 9.406 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.406 * [taylor]: Taking taylor expansion of M in n 9.406 * [backup-simplify]: Simplify M into M 9.406 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.408 * [backup-simplify]: Simplify (+ 0 0) into 0 9.408 * [backup-simplify]: Simplify (- 0) into 0 9.408 * [backup-simplify]: Simplify (+ 0 0) into 0 9.409 * [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))) 9.409 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 9.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.409 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.409 * [taylor]: Taking taylor expansion of (pow M 2) in n 9.409 * [taylor]: Taking taylor expansion of M in n 9.409 * [backup-simplify]: Simplify M into M 9.409 * [backup-simplify]: Simplify (* M M) into (pow M 2) 9.409 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.409 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.409 * [taylor]: Taking taylor expansion of 1/4 in n 9.409 * [backup-simplify]: Simplify 1/4 into 1/4 9.409 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.409 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.409 * [taylor]: Taking taylor expansion of n in n 9.409 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.410 * [backup-simplify]: Simplify (* 1 1) into 1 9.410 * [backup-simplify]: Simplify (/ 1 1) into 1 9.410 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.410 * [taylor]: Taking taylor expansion of (* M n) in n 9.410 * [taylor]: Taking taylor expansion of M in n 9.410 * [backup-simplify]: Simplify M into M 9.410 * [taylor]: Taking taylor expansion of n in n 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.410 * [backup-simplify]: Simplify (* M 0) into 0 9.410 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.410 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.411 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.411 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.411 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.411 * [taylor]: Taking taylor expansion of 1/4 in M 9.411 * [backup-simplify]: Simplify 1/4 into 1/4 9.412 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.412 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.412 * [taylor]: Taking taylor expansion of 1/2 in M 9.412 * [backup-simplify]: Simplify 1/2 into 1/2 9.412 * [taylor]: Taking taylor expansion of 1/4 in M 9.412 * [backup-simplify]: Simplify 1/4 into 1/4 9.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.414 * [backup-simplify]: Simplify (+ 0 0) into 0 9.414 * [backup-simplify]: Simplify (- 0) into 0 9.415 * [backup-simplify]: Simplify (+ 0 0) into 0 9.419 * [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 9.419 * [taylor]: Taking taylor expansion of 0 in n 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.421 * [backup-simplify]: Simplify (+ 0 0) into 0 9.421 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.421 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.421 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.421 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.421 * [taylor]: Taking taylor expansion of M in M 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [backup-simplify]: Simplify 1 into 1 9.421 * [backup-simplify]: Simplify (/ 1 1) into 1 9.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.422 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.422 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.422 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.422 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.422 * [taylor]: Taking taylor expansion of M in M 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [backup-simplify]: Simplify (/ 1 1) into 1 9.422 * [taylor]: Taking taylor expansion of 0 in M 9.422 * [backup-simplify]: Simplify 0 into 0 9.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.425 * [backup-simplify]: Simplify (+ 0 0) into 0 9.425 * [backup-simplify]: Simplify (- 0) into 0 9.426 * [backup-simplify]: Simplify (+ 0 0) into 0 9.426 * [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 9.426 * [taylor]: Taking taylor expansion of 0 in n 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.428 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.428 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.429 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.429 * [backup-simplify]: Simplify (- 0) into 0 9.429 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.429 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.429 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.429 * [taylor]: Taking taylor expansion of M in M 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (* 1 1) into 1 9.430 * [backup-simplify]: Simplify (/ 1 1) into 1 9.430 * [backup-simplify]: Simplify 1 into 1 9.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.432 * [backup-simplify]: Simplify (- 0) into 0 9.432 * [backup-simplify]: Simplify (+ 0 0) into 0 9.432 * [taylor]: Taking taylor expansion of 0 in M 9.432 * [backup-simplify]: Simplify 0 into 0 9.432 * [taylor]: Taking taylor expansion of 0 in M 9.432 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify (- 1) into -1 9.433 * [backup-simplify]: Simplify -1 into -1 9.433 * [backup-simplify]: Simplify (- 1) into -1 9.433 * [backup-simplify]: Simplify -1 into -1 9.434 * [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))) 9.434 * * * [progress]: simplifying candidates 9.434 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) 1) (- l (fabs (- m n)))))))> 9.434 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.434 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.434 * * * * [progress]: [ 4 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.434 * * * * [progress]: [ 5 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 6 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 9.435 * * * * [progress]: [ 9 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (+ 1 1)))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (+ 1 1)))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #real (real->posit16 (exp (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (exp (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #real (real->posit16 (log (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 18 / 64 ] simplifiying candidate #real (real->posit16 (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)))))) (- l (fabs (- m n)))))))> 9.435 * * * * [progress]: [ 19 / 64 ] simplifiying candidate #real (real->posit16 (* (* (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)))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #real (real->posit16 (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)))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 21 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (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))))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 23 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (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))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 24 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ 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))))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 25 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 27 / 64 ] simplifiying candidate #real (real->posit16 (* (* (* (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)))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.436 * * * * [progress]: [ 31 / 64 ] simplifiying candidate #real (real->posit16 (* (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M)))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #real (real->posit16 (* (* (+ (/ (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)))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 35 / 64 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (* 2 1)))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 41 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (cbrt (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 9.437 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (- (sqrt (/ (+ m n) 2)) (sqrt M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 53 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 55 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (+ (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 9.438 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (- l (fabs (- m n)))))))> 9.439 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 9.439 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 9.439 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 9.439 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 9.439 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #real (real->posit16 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))))) (- l (fabs (- m n)))))))> 9.439 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n))))) (- l (fabs (- m n)))))))> 9.439 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n))))) (- l (fabs (- m n)))))))> 9.441 * [simplify]: Simplifying: (log (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (exp (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (* (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 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))) (+ (* 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)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 9.443 * * [simplify]: iteration 1: (103 enodes) 9.480 * * [simplify]: iteration 2: (281 enodes) 9.612 * * [simplify]: iteration 3: (946 enodes) 10.156 * * [simplify]: Extracting #0: cost 35 inf + 0 10.158 * * [simplify]: Extracting #1: cost 528 inf + 2 10.164 * * [simplify]: Extracting #2: cost 1424 inf + 170 10.172 * * [simplify]: Extracting #3: cost 1557 inf + 6106 10.181 * * [simplify]: Extracting #4: cost 1423 inf + 26237 10.226 * * [simplify]: Extracting #5: cost 731 inf + 186985 10.326 * * [simplify]: Extracting #6: cost 91 inf + 378024 10.435 * * [simplify]: Extracting #7: cost 1 inf + 402074 10.545 * * [simplify]: Extracting #8: cost 0 inf + 402036 10.687 * [simplify]: Simplified to: (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ 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)) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M)) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M))) (* (+ (* M M) (* (/ (+ n m) 2) (+ (/ (+ n m) 2) 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))) (* (+ (/ (+ n m) 2) 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))) (* (+ (/ (+ n m) 2) M) (+ (* M M) (* (/ (+ n m) 2) (+ (/ (+ n m) 2) M)))) (* (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (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 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 2 (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- M) (+ (/ (+ n m) 2) (- M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- M) (+ (/ (+ n m) 2) (- M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- M) (+ (/ (+ n m) 2) (- M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- M) (+ (/ (+ n m) 2) (- M))) (* (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (cbrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) (/ 8 (* (+ n m) (+ n m)))) (* (* M M) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ M (/ (+ n m) 2))) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* n (+ (* m 1/2) (* n 1/4))) (* (* 1/4 m) m)) (- (* M M) (* (+ n m) M)) (- (* M M) (* (+ n m) M)) (+ (* n (+ (* m 1/2) (* n 1/4))) (* (* 1/4 m) m)) (- (* M M) (* (+ n m) M)) (- (* M M) (* (+ n m) M)) 10.696 * * * [progress]: adding candidates to table 12.474 * * [progress]: iteration 4 / 4 12.474 * * * [progress]: picking best candidate 12.520 * * * * [pick]: Picked #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 12.520 * * * [progress]: localizing error 12.603 * * * [progress]: generating rewritten candidates 12.603 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 12.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.617 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 12.636 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 12.844 * * * [progress]: generating series expansions 12.844 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 12.844 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (+ m n) K))) into (* K (+ m n)) 12.844 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 12.844 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 12.844 * [taylor]: Taking taylor expansion of K in K 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 1 into 1 12.845 * [taylor]: Taking taylor expansion of (+ m n) in K 12.845 * [taylor]: Taking taylor expansion of m in K 12.845 * [backup-simplify]: Simplify m into m 12.845 * [taylor]: Taking taylor expansion of n in K 12.845 * [backup-simplify]: Simplify n into n 12.845 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 12.845 * [taylor]: Taking taylor expansion of K in n 12.845 * [backup-simplify]: Simplify K into K 12.845 * [taylor]: Taking taylor expansion of (+ m n) in n 12.845 * [taylor]: Taking taylor expansion of m in n 12.845 * [backup-simplify]: Simplify m into m 12.845 * [taylor]: Taking taylor expansion of n in n 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.845 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.845 * [taylor]: Taking taylor expansion of K in m 12.845 * [backup-simplify]: Simplify K into K 12.845 * [taylor]: Taking taylor expansion of (+ m n) in m 12.845 * [taylor]: Taking taylor expansion of m in m 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.845 * [taylor]: Taking taylor expansion of n in m 12.845 * [backup-simplify]: Simplify n into n 12.845 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.845 * [taylor]: Taking taylor expansion of K in m 12.845 * [backup-simplify]: Simplify K into K 12.845 * [taylor]: Taking taylor expansion of (+ m n) in m 12.845 * [taylor]: Taking taylor expansion of m in m 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.845 * [taylor]: Taking taylor expansion of n in m 12.845 * [backup-simplify]: Simplify n into n 12.845 * [backup-simplify]: Simplify (+ 0 n) into n 12.845 * [backup-simplify]: Simplify (* K n) into (* K n) 12.845 * [taylor]: Taking taylor expansion of (* K n) in n 12.845 * [taylor]: Taking taylor expansion of K in n 12.845 * [backup-simplify]: Simplify K into K 12.845 * [taylor]: Taking taylor expansion of n in n 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.845 * [backup-simplify]: Simplify (* K 0) into 0 12.845 * [taylor]: Taking taylor expansion of 0 in K 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify (+ 1 0) into 1 12.846 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 12.846 * [taylor]: Taking taylor expansion of K in n 12.846 * [backup-simplify]: Simplify K into K 12.846 * [taylor]: Taking taylor expansion of K in K 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 1 into 1 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.846 * [taylor]: Taking taylor expansion of K in K 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 1 into 1 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify (+ 0 0) into 0 12.847 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 12.847 * [taylor]: Taking taylor expansion of 0 in n 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [taylor]: Taking taylor expansion of 0 in K 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [taylor]: Taking taylor expansion of 0 in K 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)))) into (/ (+ (/ 1 m) (/ 1 n)) K) 12.847 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 12.847 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.847 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.847 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.847 * [taylor]: Taking taylor expansion of m in K 12.847 * [backup-simplify]: Simplify m into m 12.848 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.848 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.848 * [taylor]: Taking taylor expansion of n in K 12.848 * [backup-simplify]: Simplify n into n 12.848 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.848 * [taylor]: Taking taylor expansion of K in K 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify 1 into 1 12.848 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.848 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.848 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.848 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.848 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.848 * [taylor]: Taking taylor expansion of m in n 12.848 * [backup-simplify]: Simplify m into m 12.848 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.848 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.848 * [taylor]: Taking taylor expansion of n in n 12.848 * [backup-simplify]: Simplify 0 into 0 12.848 * [backup-simplify]: Simplify 1 into 1 12.848 * [backup-simplify]: Simplify (/ 1 1) into 1 12.848 * [taylor]: Taking taylor expansion of K in n 12.848 * [backup-simplify]: Simplify K into K 12.848 * [backup-simplify]: Simplify (+ 0 1) into 1 12.849 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.849 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.849 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.849 * [taylor]: Taking taylor expansion of m in m 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 1 into 1 12.849 * [backup-simplify]: Simplify (/ 1 1) into 1 12.849 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.849 * [taylor]: Taking taylor expansion of n in m 12.849 * [backup-simplify]: Simplify n into n 12.849 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.849 * [taylor]: Taking taylor expansion of K in m 12.849 * [backup-simplify]: Simplify K into K 12.849 * [backup-simplify]: Simplify (+ 1 0) into 1 12.849 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.849 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.849 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.849 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.849 * [taylor]: Taking taylor expansion of m in m 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 1 into 1 12.850 * [backup-simplify]: Simplify (/ 1 1) into 1 12.850 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.850 * [taylor]: Taking taylor expansion of n in m 12.850 * [backup-simplify]: Simplify n into n 12.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.850 * [taylor]: Taking taylor expansion of K in m 12.850 * [backup-simplify]: Simplify K into K 12.850 * [backup-simplify]: Simplify (+ 1 0) into 1 12.850 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.850 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.850 * [taylor]: Taking taylor expansion of K in n 12.850 * [backup-simplify]: Simplify K into K 12.850 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.851 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.851 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.851 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.851 * [taylor]: Taking taylor expansion of (* K n) in n 12.851 * [taylor]: Taking taylor expansion of K in n 12.851 * [backup-simplify]: Simplify K into K 12.851 * [taylor]: Taking taylor expansion of n in n 12.851 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify 1 into 1 12.851 * [backup-simplify]: Simplify (* K 0) into 0 12.852 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.852 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.852 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.852 * [taylor]: Taking taylor expansion of K in K 12.852 * [backup-simplify]: Simplify 0 into 0 12.852 * [backup-simplify]: Simplify 1 into 1 12.852 * [backup-simplify]: Simplify (/ 1 1) into 1 12.852 * [backup-simplify]: Simplify 1 into 1 12.852 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.852 * [taylor]: Taking taylor expansion of K in K 12.852 * [backup-simplify]: Simplify 0 into 0 12.852 * [backup-simplify]: Simplify 1 into 1 12.852 * [backup-simplify]: Simplify (/ 1 1) into 1 12.852 * [backup-simplify]: Simplify 1 into 1 12.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.853 * [backup-simplify]: Simplify (+ 0 0) into 0 12.853 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.853 * [taylor]: Taking taylor expansion of 0 in n 12.853 * [backup-simplify]: Simplify 0 into 0 12.854 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.854 * [taylor]: Taking taylor expansion of 0 in K 12.854 * [backup-simplify]: Simplify 0 into 0 12.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.854 * [taylor]: Taking taylor expansion of 0 in K 12.854 * [backup-simplify]: Simplify 0 into 0 12.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.854 * [backup-simplify]: Simplify 0 into 0 12.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.855 * [backup-simplify]: Simplify 0 into 0 12.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.856 * [backup-simplify]: Simplify (+ 0 0) into 0 12.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.856 * [taylor]: Taking taylor expansion of 0 in n 12.856 * [backup-simplify]: Simplify 0 into 0 12.856 * [taylor]: Taking taylor expansion of 0 in K 12.856 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.857 * [taylor]: Taking taylor expansion of 0 in K 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.857 * [taylor]: Taking taylor expansion of 0 in K 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 12.859 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))))) into (/ (+ (/ 1 m) (/ 1 n)) K) 12.859 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 12.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.859 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.859 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.859 * [taylor]: Taking taylor expansion of m in K 12.859 * [backup-simplify]: Simplify m into m 12.859 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.859 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.859 * [taylor]: Taking taylor expansion of n in K 12.859 * [backup-simplify]: Simplify n into n 12.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.859 * [taylor]: Taking taylor expansion of K in K 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify 1 into 1 12.859 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.859 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.859 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.859 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.859 * [taylor]: Taking taylor expansion of m in n 12.859 * [backup-simplify]: Simplify m into m 12.859 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.859 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.859 * [taylor]: Taking taylor expansion of n in n 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify 1 into 1 12.859 * [backup-simplify]: Simplify (/ 1 1) into 1 12.860 * [taylor]: Taking taylor expansion of K in n 12.860 * [backup-simplify]: Simplify K into K 12.860 * [backup-simplify]: Simplify (+ 0 1) into 1 12.860 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.860 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.860 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.860 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.860 * [taylor]: Taking taylor expansion of m in m 12.860 * [backup-simplify]: Simplify 0 into 0 12.860 * [backup-simplify]: Simplify 1 into 1 12.860 * [backup-simplify]: Simplify (/ 1 1) into 1 12.860 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.860 * [taylor]: Taking taylor expansion of n in m 12.860 * [backup-simplify]: Simplify n into n 12.860 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.860 * [taylor]: Taking taylor expansion of K in m 12.860 * [backup-simplify]: Simplify K into K 12.861 * [backup-simplify]: Simplify (+ 1 0) into 1 12.861 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.861 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.861 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.861 * [taylor]: Taking taylor expansion of m in m 12.861 * [backup-simplify]: Simplify 0 into 0 12.861 * [backup-simplify]: Simplify 1 into 1 12.861 * [backup-simplify]: Simplify (/ 1 1) into 1 12.861 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.861 * [taylor]: Taking taylor expansion of n in m 12.861 * [backup-simplify]: Simplify n into n 12.861 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.861 * [taylor]: Taking taylor expansion of K in m 12.861 * [backup-simplify]: Simplify K into K 12.861 * [backup-simplify]: Simplify (+ 1 0) into 1 12.861 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.862 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.862 * [taylor]: Taking taylor expansion of K in n 12.862 * [backup-simplify]: Simplify K into K 12.862 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.862 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.862 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.862 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.862 * [taylor]: Taking taylor expansion of (* K n) in n 12.862 * [taylor]: Taking taylor expansion of K in n 12.862 * [backup-simplify]: Simplify K into K 12.862 * [taylor]: Taking taylor expansion of n in n 12.862 * [backup-simplify]: Simplify 0 into 0 12.862 * [backup-simplify]: Simplify 1 into 1 12.862 * [backup-simplify]: Simplify (* K 0) into 0 12.863 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.863 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.863 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.863 * [taylor]: Taking taylor expansion of K in K 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify 1 into 1 12.863 * [backup-simplify]: Simplify (/ 1 1) into 1 12.863 * [backup-simplify]: Simplify 1 into 1 12.863 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.863 * [taylor]: Taking taylor expansion of K in K 12.863 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify 1 into 1 12.863 * [backup-simplify]: Simplify (/ 1 1) into 1 12.863 * [backup-simplify]: Simplify 1 into 1 12.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.864 * [backup-simplify]: Simplify (+ 0 0) into 0 12.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.864 * [taylor]: Taking taylor expansion of 0 in n 12.864 * [backup-simplify]: Simplify 0 into 0 12.865 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.865 * [taylor]: Taking taylor expansion of 0 in K 12.865 * [backup-simplify]: Simplify 0 into 0 12.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.865 * [taylor]: Taking taylor expansion of 0 in K 12.865 * [backup-simplify]: Simplify 0 into 0 12.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.866 * [backup-simplify]: Simplify 0 into 0 12.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.866 * [backup-simplify]: Simplify 0 into 0 12.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.867 * [backup-simplify]: Simplify (+ 0 0) into 0 12.867 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.867 * [taylor]: Taking taylor expansion of 0 in n 12.867 * [backup-simplify]: Simplify 0 into 0 12.867 * [taylor]: Taking taylor expansion of 0 in K 12.867 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.868 * [taylor]: Taking taylor expansion of 0 in K 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.868 * [taylor]: Taking taylor expansion of 0 in K 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.869 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.869 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 12.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 12.870 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 12.870 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 12.870 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 12.870 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 12.870 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 12.870 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 12.870 * [taylor]: Taking taylor expansion of 1/2 in M 12.870 * [backup-simplify]: Simplify 1/2 into 1/2 12.870 * [taylor]: Taking taylor expansion of (* K n) in M 12.870 * [taylor]: Taking taylor expansion of K in M 12.870 * [backup-simplify]: Simplify K into K 12.870 * [taylor]: Taking taylor expansion of n in M 12.870 * [backup-simplify]: Simplify n into n 12.870 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 12.870 * [taylor]: Taking taylor expansion of 1/2 in M 12.870 * [backup-simplify]: Simplify 1/2 into 1/2 12.870 * [taylor]: Taking taylor expansion of (* K m) in M 12.870 * [taylor]: Taking taylor expansion of K in M 12.870 * [backup-simplify]: Simplify K into K 12.870 * [taylor]: Taking taylor expansion of m in M 12.870 * [backup-simplify]: Simplify m into m 12.870 * [taylor]: Taking taylor expansion of M in M 12.870 * [backup-simplify]: Simplify 0 into 0 12.870 * [backup-simplify]: Simplify 1 into 1 12.870 * [backup-simplify]: Simplify (* K n) into (* K n) 12.870 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 12.870 * [backup-simplify]: Simplify (* K m) into (* K m) 12.870 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 12.870 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 12.871 * [backup-simplify]: Simplify (- 0) into 0 12.871 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 12.871 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 12.871 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 12.871 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 12.871 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 12.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 12.871 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 12.871 * [taylor]: Taking taylor expansion of 1/2 in K 12.871 * [backup-simplify]: Simplify 1/2 into 1/2 12.871 * [taylor]: Taking taylor expansion of (* K n) in K 12.871 * [taylor]: Taking taylor expansion of K in K 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify 1 into 1 12.871 * [taylor]: Taking taylor expansion of n in K 12.871 * [backup-simplify]: Simplify n into n 12.871 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 12.871 * [taylor]: Taking taylor expansion of 1/2 in K 12.871 * [backup-simplify]: Simplify 1/2 into 1/2 12.871 * [taylor]: Taking taylor expansion of (* K m) in K 12.871 * [taylor]: Taking taylor expansion of K in K 12.871 * [backup-simplify]: Simplify 0 into 0 12.872 * [backup-simplify]: Simplify 1 into 1 12.872 * [taylor]: Taking taylor expansion of m in K 12.872 * [backup-simplify]: Simplify m into m 12.872 * [taylor]: Taking taylor expansion of M in K 12.872 * [backup-simplify]: Simplify M into M 12.872 * [backup-simplify]: Simplify (* 0 n) into 0 12.872 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.872 * [backup-simplify]: Simplify (* 0 m) into 0 12.872 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.872 * [backup-simplify]: Simplify (+ 0 0) into 0 12.872 * [backup-simplify]: Simplify (- M) into (- M) 12.873 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 12.873 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.873 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.873 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 12.873 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 12.873 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 12.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 12.873 * [taylor]: Taking taylor expansion of 1/2 in n 12.873 * [backup-simplify]: Simplify 1/2 into 1/2 12.873 * [taylor]: Taking taylor expansion of (* K n) in n 12.873 * [taylor]: Taking taylor expansion of K in n 12.873 * [backup-simplify]: Simplify K into K 12.873 * [taylor]: Taking taylor expansion of n in n 12.873 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 12.873 * [taylor]: Taking taylor expansion of 1/2 in n 12.873 * [backup-simplify]: Simplify 1/2 into 1/2 12.873 * [taylor]: Taking taylor expansion of (* K m) in n 12.873 * [taylor]: Taking taylor expansion of K in n 12.873 * [backup-simplify]: Simplify K into K 12.873 * [taylor]: Taking taylor expansion of m in n 12.873 * [backup-simplify]: Simplify m into m 12.873 * [taylor]: Taking taylor expansion of M in n 12.873 * [backup-simplify]: Simplify M into M 12.873 * [backup-simplify]: Simplify (* K 0) into 0 12.873 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.873 * [backup-simplify]: Simplify (* K m) into (* K m) 12.873 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 12.873 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 12.873 * [backup-simplify]: Simplify (- M) into (- M) 12.874 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 12.874 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 12.874 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 12.874 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 12.874 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 12.874 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 12.874 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 12.874 * [taylor]: Taking taylor expansion of 1/2 in m 12.874 * [backup-simplify]: Simplify 1/2 into 1/2 12.874 * [taylor]: Taking taylor expansion of (* K n) in m 12.874 * [taylor]: Taking taylor expansion of K in m 12.874 * [backup-simplify]: Simplify K into K 12.874 * [taylor]: Taking taylor expansion of n in m 12.874 * [backup-simplify]: Simplify n into n 12.874 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 12.874 * [taylor]: Taking taylor expansion of 1/2 in m 12.874 * [backup-simplify]: Simplify 1/2 into 1/2 12.874 * [taylor]: Taking taylor expansion of (* K m) in m 12.874 * [taylor]: Taking taylor expansion of K in m 12.874 * [backup-simplify]: Simplify K into K 12.874 * [taylor]: Taking taylor expansion of m in m 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [taylor]: Taking taylor expansion of M in m 12.874 * [backup-simplify]: Simplify M into M 12.874 * [backup-simplify]: Simplify (* K n) into (* K n) 12.874 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 12.874 * [backup-simplify]: Simplify (* K 0) into 0 12.874 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.874 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 12.875 * [backup-simplify]: Simplify (- M) into (- M) 12.875 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 12.875 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 12.875 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 12.875 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 12.875 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 12.875 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 12.875 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 12.875 * [taylor]: Taking taylor expansion of 1/2 in m 12.875 * [backup-simplify]: Simplify 1/2 into 1/2 12.875 * [taylor]: Taking taylor expansion of (* K n) in m 12.875 * [taylor]: Taking taylor expansion of K in m 12.875 * [backup-simplify]: Simplify K into K 12.875 * [taylor]: Taking taylor expansion of n in m 12.875 * [backup-simplify]: Simplify n into n 12.875 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 12.875 * [taylor]: Taking taylor expansion of 1/2 in m 12.875 * [backup-simplify]: Simplify 1/2 into 1/2 12.875 * [taylor]: Taking taylor expansion of (* K m) in m 12.875 * [taylor]: Taking taylor expansion of K in m 12.875 * [backup-simplify]: Simplify K into K 12.875 * [taylor]: Taking taylor expansion of m in m 12.875 * [backup-simplify]: Simplify 0 into 0 12.875 * [backup-simplify]: Simplify 1 into 1 12.875 * [taylor]: Taking taylor expansion of M in m 12.875 * [backup-simplify]: Simplify M into M 12.875 * [backup-simplify]: Simplify (* K n) into (* K n) 12.875 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 12.875 * [backup-simplify]: Simplify (* K 0) into 0 12.875 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.876 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 12.876 * [backup-simplify]: Simplify (- M) into (- M) 12.876 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 12.876 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 12.876 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 12.876 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 12.876 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 12.876 * [backup-simplify]: Simplify (- 0) into 0 12.876 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 12.876 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 12.876 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 12.876 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 12.876 * [taylor]: Taking taylor expansion of 1/2 in n 12.877 * [backup-simplify]: Simplify 1/2 into 1/2 12.877 * [taylor]: Taking taylor expansion of (* K n) in n 12.877 * [taylor]: Taking taylor expansion of K in n 12.877 * [backup-simplify]: Simplify K into K 12.877 * [taylor]: Taking taylor expansion of n in n 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 1 into 1 12.877 * [taylor]: Taking taylor expansion of M in n 12.877 * [backup-simplify]: Simplify M into M 12.877 * [backup-simplify]: Simplify (* K 0) into 0 12.877 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.877 * [backup-simplify]: Simplify (- M) into (- M) 12.877 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 12.877 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.877 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.877 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 12.877 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 12.877 * [backup-simplify]: Simplify (- 0) into 0 12.877 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 12.877 * [taylor]: Taking taylor expansion of (cos (- M)) in K 12.878 * [taylor]: Taking taylor expansion of (- M) in K 12.878 * [taylor]: Taking taylor expansion of M in K 12.878 * [backup-simplify]: Simplify M into M 12.878 * [backup-simplify]: Simplify (- M) into (- M) 12.878 * [backup-simplify]: Simplify (- M) into (- M) 12.878 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.878 * [backup-simplify]: Simplify (- M) into (- M) 12.878 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.878 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 12.878 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 12.878 * [backup-simplify]: Simplify (- 0) into 0 12.878 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 12.878 * [taylor]: Taking taylor expansion of (cos (- M)) in M 12.878 * [taylor]: Taking taylor expansion of (- M) in M 12.878 * [taylor]: Taking taylor expansion of M in M 12.878 * [backup-simplify]: Simplify 0 into 0 12.878 * [backup-simplify]: Simplify 1 into 1 12.878 * [backup-simplify]: Simplify (- 0) into 0 12.879 * [backup-simplify]: Simplify (- 1) into -1 12.879 * [backup-simplify]: Simplify 1 into 1 12.879 * [backup-simplify]: Simplify (+ 0) into 0 12.880 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 12.880 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 12.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 12.881 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.881 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 12.881 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 12.882 * [backup-simplify]: Simplify (- 0) into 0 12.882 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 12.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 12.882 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 12.883 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 12.883 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 12.883 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 12.883 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 12.883 * [taylor]: Taking taylor expansion of 1/2 in n 12.883 * [backup-simplify]: Simplify 1/2 into 1/2 12.883 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 12.883 * [taylor]: Taking taylor expansion of K in n 12.883 * [backup-simplify]: Simplify K into K 12.883 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 12.883 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 12.883 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 12.883 * [taylor]: Taking taylor expansion of 1/2 in n 12.883 * [backup-simplify]: Simplify 1/2 into 1/2 12.883 * [taylor]: Taking taylor expansion of (* K n) in n 12.883 * [taylor]: Taking taylor expansion of K in n 12.883 * [backup-simplify]: Simplify K into K 12.883 * [taylor]: Taking taylor expansion of n in n 12.883 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify 1 into 1 12.883 * [taylor]: Taking taylor expansion of M in n 12.883 * [backup-simplify]: Simplify M into M 12.883 * [backup-simplify]: Simplify (* K 0) into 0 12.884 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.884 * [backup-simplify]: Simplify (- M) into (- M) 12.884 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 12.884 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.884 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.884 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 12.884 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 12.884 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 12.884 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 12.884 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 12.885 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 12.885 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 12.885 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 12.885 * [taylor]: Taking taylor expansion of 1/2 in K 12.885 * [backup-simplify]: Simplify 1/2 into 1/2 12.885 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 12.885 * [taylor]: Taking taylor expansion of K in K 12.885 * [backup-simplify]: Simplify 0 into 0 12.885 * [backup-simplify]: Simplify 1 into 1 12.885 * [taylor]: Taking taylor expansion of (sin (- M)) in K 12.885 * [taylor]: Taking taylor expansion of (- M) in K 12.885 * [taylor]: Taking taylor expansion of M in K 12.885 * [backup-simplify]: Simplify M into M 12.885 * [backup-simplify]: Simplify (- M) into (- M) 12.885 * [backup-simplify]: Simplify (- M) into (- M) 12.885 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.885 * [backup-simplify]: Simplify (- M) into (- M) 12.885 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.885 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 12.885 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 12.885 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 12.885 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 12.886 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.886 * [backup-simplify]: Simplify (- 0) into 0 12.887 * [taylor]: Taking taylor expansion of 0 in M 12.887 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify (+ 0) into 0 12.888 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 12.888 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.888 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 12.889 * [backup-simplify]: Simplify (- 0) into 0 12.889 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 12.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 12.890 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 12.890 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 12.890 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 12.890 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 12.890 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 12.890 * [taylor]: Taking taylor expansion of 1/2 in K 12.890 * [backup-simplify]: Simplify 1/2 into 1/2 12.890 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 12.890 * [taylor]: Taking taylor expansion of K in K 12.890 * [backup-simplify]: Simplify 0 into 0 12.890 * [backup-simplify]: Simplify 1 into 1 12.890 * [taylor]: Taking taylor expansion of (sin (- M)) in K 12.890 * [taylor]: Taking taylor expansion of (- M) in K 12.890 * [taylor]: Taking taylor expansion of M in K 12.890 * [backup-simplify]: Simplify M into M 12.890 * [backup-simplify]: Simplify (- M) into (- M) 12.890 * [backup-simplify]: Simplify (- M) into (- M) 12.890 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.890 * [backup-simplify]: Simplify (- M) into (- M) 12.890 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.891 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 12.891 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 12.891 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 12.891 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 12.891 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.892 * [backup-simplify]: Simplify (- 0) into 0 12.892 * [taylor]: Taking taylor expansion of 0 in M 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify (+ 0) into 0 12.893 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 12.893 * [backup-simplify]: Simplify (- 0) into 0 12.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.894 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 12.895 * [backup-simplify]: Simplify (- 0) into 0 12.895 * [backup-simplify]: Simplify (+ 0 0) into 0 12.895 * [taylor]: Taking taylor expansion of 0 in M 12.895 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify (+ 0) into 0 12.896 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 12.897 * [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))))) 12.898 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 12.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 12.899 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 12.901 * [backup-simplify]: Simplify (+ 0 0) into 0 12.901 * [backup-simplify]: Simplify (- 0) into 0 12.902 * [backup-simplify]: Simplify (+ 0 0) into 0 12.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.903 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 12.904 * [backup-simplify]: Simplify (- 0) into 0 12.904 * [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))))) 12.904 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 12.904 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 12.904 * [taylor]: Taking taylor expansion of 1/8 in n 12.904 * [backup-simplify]: Simplify 1/8 into 1/8 12.904 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 12.904 * [taylor]: Taking taylor expansion of (pow K 2) in n 12.904 * [taylor]: Taking taylor expansion of K in n 12.904 * [backup-simplify]: Simplify K into K 12.904 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 12.904 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 12.904 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 12.904 * [taylor]: Taking taylor expansion of 1/2 in n 12.904 * [backup-simplify]: Simplify 1/2 into 1/2 12.904 * [taylor]: Taking taylor expansion of (* K n) in n 12.904 * [taylor]: Taking taylor expansion of K in n 12.904 * [backup-simplify]: Simplify K into K 12.904 * [taylor]: Taking taylor expansion of n in n 12.905 * [backup-simplify]: Simplify 0 into 0 12.905 * [backup-simplify]: Simplify 1 into 1 12.905 * [taylor]: Taking taylor expansion of M in n 12.905 * [backup-simplify]: Simplify M into M 12.905 * [backup-simplify]: Simplify (* K 0) into 0 12.905 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.905 * [backup-simplify]: Simplify (- M) into (- M) 12.905 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 12.905 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.905 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.906 * [backup-simplify]: Simplify (* K K) into (pow K 2) 12.906 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 12.906 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 12.906 * [backup-simplify]: Simplify (- 0) into 0 12.906 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 12.906 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 12.906 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 12.907 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 12.907 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 12.907 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 12.907 * [taylor]: Taking taylor expansion of 1/8 in K 12.907 * [backup-simplify]: Simplify 1/8 into 1/8 12.907 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 12.907 * [taylor]: Taking taylor expansion of (pow K 2) in K 12.907 * [taylor]: Taking taylor expansion of K in K 12.907 * [backup-simplify]: Simplify 0 into 0 12.907 * [backup-simplify]: Simplify 1 into 1 12.907 * [taylor]: Taking taylor expansion of (cos (- M)) in K 12.907 * [taylor]: Taking taylor expansion of (- M) in K 12.907 * [taylor]: Taking taylor expansion of M in K 12.907 * [backup-simplify]: Simplify M into M 12.907 * [backup-simplify]: Simplify (- M) into (- M) 12.907 * [backup-simplify]: Simplify (- M) into (- M) 12.907 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.907 * [backup-simplify]: Simplify (- M) into (- M) 12.907 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.908 * [backup-simplify]: Simplify (+ 0) into 0 12.908 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 12.909 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.909 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 12.910 * [backup-simplify]: Simplify (- 0) into 0 12.910 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 12.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 12.910 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 12.910 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 12.911 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 12.911 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 12.911 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 12.911 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 12.911 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 12.911 * [taylor]: Taking taylor expansion of 1/4 in K 12.911 * [backup-simplify]: Simplify 1/4 into 1/4 12.911 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 12.911 * [taylor]: Taking taylor expansion of (pow K 2) in K 12.911 * [taylor]: Taking taylor expansion of K in K 12.911 * [backup-simplify]: Simplify 0 into 0 12.912 * [backup-simplify]: Simplify 1 into 1 12.912 * [taylor]: Taking taylor expansion of (cos (- M)) in K 12.912 * [taylor]: Taking taylor expansion of (- M) in K 12.912 * [taylor]: Taking taylor expansion of M in K 12.912 * [backup-simplify]: Simplify M into M 12.912 * [backup-simplify]: Simplify (- M) into (- M) 12.912 * [backup-simplify]: Simplify (- M) into (- M) 12.912 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.912 * [backup-simplify]: Simplify (- M) into (- M) 12.912 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 12.914 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 12.915 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 12.916 * [backup-simplify]: Simplify (- 0) into 0 12.916 * [backup-simplify]: Simplify (+ 0 0) into 0 12.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.918 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 12.918 * [backup-simplify]: Simplify (- 0) into 0 12.918 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 12.919 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 12.919 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 12.919 * [taylor]: Taking taylor expansion of 1/8 in K 12.919 * [backup-simplify]: Simplify 1/8 into 1/8 12.919 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 12.919 * [taylor]: Taking taylor expansion of (pow K 2) in K 12.919 * [taylor]: Taking taylor expansion of K in K 12.919 * [backup-simplify]: Simplify 0 into 0 12.919 * [backup-simplify]: Simplify 1 into 1 12.919 * [taylor]: Taking taylor expansion of (cos (- M)) in K 12.919 * [taylor]: Taking taylor expansion of (- M) in K 12.919 * [taylor]: Taking taylor expansion of M in K 12.919 * [backup-simplify]: Simplify M into M 12.919 * [backup-simplify]: Simplify (- M) into (- M) 12.919 * [backup-simplify]: Simplify (- M) into (- M) 12.919 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 12.919 * [backup-simplify]: Simplify (- M) into (- M) 12.919 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 12.920 * [backup-simplify]: Simplify (+ 0) into 0 12.920 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 12.920 * [backup-simplify]: Simplify (- 0) into 0 12.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.922 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 12.922 * [backup-simplify]: Simplify (+ 0 0) into 0 12.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 12.923 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 12.923 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 12.923 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 12.923 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 12.923 * [taylor]: Taking taylor expansion of 1/2 in M 12.923 * [backup-simplify]: Simplify 1/2 into 1/2 12.923 * [taylor]: Taking taylor expansion of (sin (- M)) in M 12.923 * [taylor]: Taking taylor expansion of (- M) in M 12.923 * [taylor]: Taking taylor expansion of M in M 12.923 * [backup-simplify]: Simplify 0 into 0 12.923 * [backup-simplify]: Simplify 1 into 1 12.924 * [backup-simplify]: Simplify (- 0) into 0 12.924 * [backup-simplify]: Simplify (- 1) into -1 12.925 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.925 * [backup-simplify]: Simplify (- 0) into 0 12.925 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify (+ 0) into 0 12.926 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 12.926 * [backup-simplify]: Simplify (- 0) into 0 12.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.928 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 12.928 * [backup-simplify]: Simplify (+ 0 0) into 0 12.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 12.929 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 12.929 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 12.929 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 12.929 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 12.930 * [taylor]: Taking taylor expansion of 1/2 in M 12.930 * [backup-simplify]: Simplify 1/2 into 1/2 12.930 * [taylor]: Taking taylor expansion of (sin (- M)) in M 12.930 * [taylor]: Taking taylor expansion of (- M) in M 12.930 * [taylor]: Taking taylor expansion of M in M 12.930 * [backup-simplify]: Simplify 0 into 0 12.930 * [backup-simplify]: Simplify 1 into 1 12.930 * [backup-simplify]: Simplify (- 0) into 0 12.931 * [backup-simplify]: Simplify (- 1) into -1 12.931 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.931 * [backup-simplify]: Simplify (- 0) into 0 12.931 * [backup-simplify]: Simplify 0 into 0 12.932 * [backup-simplify]: Simplify 1 into 1 12.932 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 12.932 * [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 12.932 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 12.932 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 12.932 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 12.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 12.932 * [taylor]: Taking taylor expansion of 1/2 in M 12.932 * [backup-simplify]: Simplify 1/2 into 1/2 12.932 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 12.932 * [taylor]: Taking taylor expansion of (* m K) in M 12.933 * [taylor]: Taking taylor expansion of m in M 12.933 * [backup-simplify]: Simplify m into m 12.933 * [taylor]: Taking taylor expansion of K in M 12.933 * [backup-simplify]: Simplify K into K 12.933 * [backup-simplify]: Simplify (* m K) into (* m K) 12.933 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 12.933 * [taylor]: Taking taylor expansion of 1/2 in M 12.933 * [backup-simplify]: Simplify 1/2 into 1/2 12.933 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 12.933 * [taylor]: Taking taylor expansion of (* K n) in M 12.933 * [taylor]: Taking taylor expansion of K in M 12.933 * [backup-simplify]: Simplify K into K 12.933 * [taylor]: Taking taylor expansion of n in M 12.933 * [backup-simplify]: Simplify n into n 12.933 * [backup-simplify]: Simplify (* K n) into (* K n) 12.933 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.933 * [taylor]: Taking taylor expansion of (/ 1 M) in M 12.933 * [taylor]: Taking taylor expansion of M in M 12.933 * [backup-simplify]: Simplify 0 into 0 12.933 * [backup-simplify]: Simplify 1 into 1 12.934 * [backup-simplify]: Simplify (/ 1 1) into 1 12.934 * [backup-simplify]: Simplify (- 1) into -1 12.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.935 * [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))) 12.935 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 12.935 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 12.935 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 12.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 12.935 * [taylor]: Taking taylor expansion of 1/2 in K 12.935 * [backup-simplify]: Simplify 1/2 into 1/2 12.935 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 12.935 * [taylor]: Taking taylor expansion of (* m K) in K 12.935 * [taylor]: Taking taylor expansion of m in K 12.935 * [backup-simplify]: Simplify m into m 12.935 * [taylor]: Taking taylor expansion of K in K 12.935 * [backup-simplify]: Simplify 0 into 0 12.935 * [backup-simplify]: Simplify 1 into 1 12.935 * [backup-simplify]: Simplify (* m 0) into 0 12.936 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 12.936 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 12.936 * [taylor]: Taking taylor expansion of 1/2 in K 12.936 * [backup-simplify]: Simplify 1/2 into 1/2 12.936 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 12.936 * [taylor]: Taking taylor expansion of (* K n) in K 12.936 * [taylor]: Taking taylor expansion of K in K 12.936 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify 1 into 1 12.936 * [taylor]: Taking taylor expansion of n in K 12.936 * [backup-simplify]: Simplify n into n 12.936 * [backup-simplify]: Simplify (* 0 n) into 0 12.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.937 * [taylor]: Taking taylor expansion of (/ 1 M) in K 12.937 * [taylor]: Taking taylor expansion of M in K 12.937 * [backup-simplify]: Simplify M into M 12.937 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.937 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 12.937 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 12.937 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.937 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.938 * [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))) 12.938 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 12.938 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 12.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 12.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 12.938 * [taylor]: Taking taylor expansion of 1/2 in n 12.938 * [backup-simplify]: Simplify 1/2 into 1/2 12.938 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 12.938 * [taylor]: Taking taylor expansion of (* m K) in n 12.938 * [taylor]: Taking taylor expansion of m in n 12.938 * [backup-simplify]: Simplify m into m 12.938 * [taylor]: Taking taylor expansion of K in n 12.938 * [backup-simplify]: Simplify K into K 12.938 * [backup-simplify]: Simplify (* m K) into (* m K) 12.938 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 12.938 * [taylor]: Taking taylor expansion of 1/2 in n 12.938 * [backup-simplify]: Simplify 1/2 into 1/2 12.938 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.938 * [taylor]: Taking taylor expansion of (* K n) in n 12.938 * [taylor]: Taking taylor expansion of K in n 12.938 * [backup-simplify]: Simplify K into K 12.938 * [taylor]: Taking taylor expansion of n in n 12.938 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify 1 into 1 12.938 * [backup-simplify]: Simplify (* K 0) into 0 12.939 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.939 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.939 * [taylor]: Taking taylor expansion of (/ 1 M) in n 12.939 * [taylor]: Taking taylor expansion of M in n 12.939 * [backup-simplify]: Simplify M into M 12.939 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.939 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.939 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 12.939 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 12.940 * [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))) 12.940 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 12.940 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 12.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 12.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 12.940 * [taylor]: Taking taylor expansion of 1/2 in m 12.940 * [backup-simplify]: Simplify 1/2 into 1/2 12.940 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 12.940 * [taylor]: Taking taylor expansion of (* m K) in m 12.940 * [taylor]: Taking taylor expansion of m in m 12.940 * [backup-simplify]: Simplify 0 into 0 12.940 * [backup-simplify]: Simplify 1 into 1 12.940 * [taylor]: Taking taylor expansion of K in m 12.940 * [backup-simplify]: Simplify K into K 12.940 * [backup-simplify]: Simplify (* 0 K) into 0 12.941 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 12.941 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 12.941 * [taylor]: Taking taylor expansion of 1/2 in m 12.941 * [backup-simplify]: Simplify 1/2 into 1/2 12.941 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 12.941 * [taylor]: Taking taylor expansion of (* K n) in m 12.941 * [taylor]: Taking taylor expansion of K in m 12.941 * [backup-simplify]: Simplify K into K 12.941 * [taylor]: Taking taylor expansion of n in m 12.941 * [backup-simplify]: Simplify n into n 12.941 * [backup-simplify]: Simplify (* K n) into (* K n) 12.941 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.941 * [taylor]: Taking taylor expansion of (/ 1 M) in m 12.941 * [taylor]: Taking taylor expansion of M in m 12.941 * [backup-simplify]: Simplify M into M 12.941 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.941 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.941 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 12.941 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 12.942 * [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))) 12.942 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 12.942 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 12.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 12.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 12.942 * [taylor]: Taking taylor expansion of 1/2 in m 12.942 * [backup-simplify]: Simplify 1/2 into 1/2 12.942 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 12.942 * [taylor]: Taking taylor expansion of (* m K) in m 12.942 * [taylor]: Taking taylor expansion of m in m 12.942 * [backup-simplify]: Simplify 0 into 0 12.942 * [backup-simplify]: Simplify 1 into 1 12.942 * [taylor]: Taking taylor expansion of K in m 12.942 * [backup-simplify]: Simplify K into K 12.942 * [backup-simplify]: Simplify (* 0 K) into 0 12.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 12.943 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 12.943 * [taylor]: Taking taylor expansion of 1/2 in m 12.943 * [backup-simplify]: Simplify 1/2 into 1/2 12.943 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 12.943 * [taylor]: Taking taylor expansion of (* K n) in m 12.943 * [taylor]: Taking taylor expansion of K in m 12.943 * [backup-simplify]: Simplify K into K 12.943 * [taylor]: Taking taylor expansion of n in m 12.943 * [backup-simplify]: Simplify n into n 12.943 * [backup-simplify]: Simplify (* K n) into (* K n) 12.943 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.943 * [taylor]: Taking taylor expansion of (/ 1 M) in m 12.943 * [taylor]: Taking taylor expansion of M in m 12.943 * [backup-simplify]: Simplify M into M 12.943 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.943 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.944 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 12.944 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 12.944 * [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))) 12.944 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 12.944 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 12.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 12.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 12.944 * [taylor]: Taking taylor expansion of 1/2 in n 12.944 * [backup-simplify]: Simplify 1/2 into 1/2 12.944 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 12.944 * [taylor]: Taking taylor expansion of (* m K) in n 12.944 * [taylor]: Taking taylor expansion of m in n 12.944 * [backup-simplify]: Simplify m into m 12.944 * [taylor]: Taking taylor expansion of K in n 12.944 * [backup-simplify]: Simplify K into K 12.945 * [backup-simplify]: Simplify (* m K) into (* m K) 12.945 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 12.945 * [taylor]: Taking taylor expansion of 1/2 in n 12.945 * [backup-simplify]: Simplify 1/2 into 1/2 12.945 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.945 * [taylor]: Taking taylor expansion of (* K n) in n 12.945 * [taylor]: Taking taylor expansion of K in n 12.945 * [backup-simplify]: Simplify K into K 12.945 * [taylor]: Taking taylor expansion of n in n 12.945 * [backup-simplify]: Simplify 0 into 0 12.945 * [backup-simplify]: Simplify 1 into 1 12.945 * [backup-simplify]: Simplify (* K 0) into 0 12.945 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.946 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.946 * [taylor]: Taking taylor expansion of (/ 1 M) in n 12.946 * [taylor]: Taking taylor expansion of M in n 12.946 * [backup-simplify]: Simplify M into M 12.946 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.946 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.946 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 12.946 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 12.946 * [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))) 12.946 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 12.946 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 12.946 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 12.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 12.946 * [taylor]: Taking taylor expansion of 1/2 in K 12.947 * [backup-simplify]: Simplify 1/2 into 1/2 12.947 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 12.947 * [taylor]: Taking taylor expansion of (* m K) in K 12.947 * [taylor]: Taking taylor expansion of m in K 12.947 * [backup-simplify]: Simplify m into m 12.947 * [taylor]: Taking taylor expansion of K in K 12.947 * [backup-simplify]: Simplify 0 into 0 12.947 * [backup-simplify]: Simplify 1 into 1 12.947 * [backup-simplify]: Simplify (* m 0) into 0 12.947 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 12.947 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 12.947 * [taylor]: Taking taylor expansion of 1/2 in K 12.947 * [backup-simplify]: Simplify 1/2 into 1/2 12.947 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 12.947 * [taylor]: Taking taylor expansion of (* K n) in K 12.947 * [taylor]: Taking taylor expansion of K in K 12.947 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify 1 into 1 12.948 * [taylor]: Taking taylor expansion of n in K 12.948 * [backup-simplify]: Simplify n into n 12.948 * [backup-simplify]: Simplify (* 0 n) into 0 12.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.948 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.948 * [taylor]: Taking taylor expansion of (/ 1 M) in K 12.948 * [taylor]: Taking taylor expansion of M in K 12.948 * [backup-simplify]: Simplify M into M 12.948 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.948 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 12.948 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 12.949 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.949 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.949 * [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))) 12.949 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 12.949 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 12.949 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 12.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 12.949 * [taylor]: Taking taylor expansion of 1/2 in M 12.949 * [backup-simplify]: Simplify 1/2 into 1/2 12.949 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 12.949 * [taylor]: Taking taylor expansion of (* m K) in M 12.949 * [taylor]: Taking taylor expansion of m in M 12.949 * [backup-simplify]: Simplify m into m 12.949 * [taylor]: Taking taylor expansion of K in M 12.949 * [backup-simplify]: Simplify K into K 12.949 * [backup-simplify]: Simplify (* m K) into (* m K) 12.950 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.950 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 12.950 * [taylor]: Taking taylor expansion of 1/2 in M 12.950 * [backup-simplify]: Simplify 1/2 into 1/2 12.950 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 12.950 * [taylor]: Taking taylor expansion of (* K n) in M 12.950 * [taylor]: Taking taylor expansion of K in M 12.950 * [backup-simplify]: Simplify K into K 12.950 * [taylor]: Taking taylor expansion of n in M 12.950 * [backup-simplify]: Simplify n into n 12.950 * [backup-simplify]: Simplify (* K n) into (* K n) 12.950 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.950 * [taylor]: Taking taylor expansion of (/ 1 M) in M 12.950 * [taylor]: Taking taylor expansion of M in M 12.950 * [backup-simplify]: Simplify 0 into 0 12.950 * [backup-simplify]: Simplify 1 into 1 12.950 * [backup-simplify]: Simplify (/ 1 1) into 1 12.951 * [backup-simplify]: Simplify (- 1) into -1 12.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.952 * [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))) 12.952 * [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))) 12.952 * [taylor]: Taking taylor expansion of 0 in n 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [taylor]: Taking taylor expansion of 0 in K 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [taylor]: Taking taylor expansion of 0 in M 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [taylor]: Taking taylor expansion of 0 in K 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [taylor]: Taking taylor expansion of 0 in M 12.952 * [backup-simplify]: Simplify 0 into 0 12.952 * [backup-simplify]: Simplify 0 into 0 12.953 * [taylor]: Taking taylor expansion of 0 in M 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [taylor]: Taking taylor expansion of 0 in n 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [taylor]: Taking taylor expansion of 0 in K 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [taylor]: Taking taylor expansion of 0 in M 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [taylor]: Taking taylor expansion of 0 in K 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [taylor]: Taking taylor expansion of 0 in M 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [backup-simplify]: Simplify 0 into 0 12.953 * [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)) 12.954 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 12.954 * [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 12.954 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 12.954 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 12.954 * [taylor]: Taking taylor expansion of (/ 1 M) in M 12.954 * [taylor]: Taking taylor expansion of M in M 12.954 * [backup-simplify]: Simplify 0 into 0 12.954 * [backup-simplify]: Simplify 1 into 1 12.955 * [backup-simplify]: Simplify (/ 1 1) into 1 12.955 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 12.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 12.955 * [taylor]: Taking taylor expansion of 1/2 in M 12.955 * [backup-simplify]: Simplify 1/2 into 1/2 12.955 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 12.955 * [taylor]: Taking taylor expansion of (* m K) in M 12.955 * [taylor]: Taking taylor expansion of m in M 12.955 * [backup-simplify]: Simplify m into m 12.955 * [taylor]: Taking taylor expansion of K in M 12.955 * [backup-simplify]: Simplify K into K 12.955 * [backup-simplify]: Simplify (* m K) into (* m K) 12.955 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 12.955 * [taylor]: Taking taylor expansion of 1/2 in M 12.955 * [backup-simplify]: Simplify 1/2 into 1/2 12.955 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 12.955 * [taylor]: Taking taylor expansion of (* K n) in M 12.955 * [taylor]: Taking taylor expansion of K in M 12.955 * [backup-simplify]: Simplify K into K 12.955 * [taylor]: Taking taylor expansion of n in M 12.955 * [backup-simplify]: Simplify n into n 12.955 * [backup-simplify]: Simplify (* K n) into (* K n) 12.955 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.956 * [backup-simplify]: Simplify (+ 1 0) into 1 12.956 * [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)))))) 12.956 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 12.956 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 12.956 * [taylor]: Taking taylor expansion of (/ 1 M) in K 12.956 * [taylor]: Taking taylor expansion of M in K 12.956 * [backup-simplify]: Simplify M into M 12.956 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.956 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 12.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 12.956 * [taylor]: Taking taylor expansion of 1/2 in K 12.956 * [backup-simplify]: Simplify 1/2 into 1/2 12.957 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 12.957 * [taylor]: Taking taylor expansion of (* m K) in K 12.957 * [taylor]: Taking taylor expansion of m in K 12.957 * [backup-simplify]: Simplify m into m 12.957 * [taylor]: Taking taylor expansion of K in K 12.957 * [backup-simplify]: Simplify 0 into 0 12.957 * [backup-simplify]: Simplify 1 into 1 12.957 * [backup-simplify]: Simplify (* m 0) into 0 12.957 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 12.957 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 12.957 * [taylor]: Taking taylor expansion of 1/2 in K 12.957 * [backup-simplify]: Simplify 1/2 into 1/2 12.957 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 12.957 * [taylor]: Taking taylor expansion of (* K n) in K 12.957 * [taylor]: Taking taylor expansion of K in K 12.957 * [backup-simplify]: Simplify 0 into 0 12.957 * [backup-simplify]: Simplify 1 into 1 12.957 * [taylor]: Taking taylor expansion of n in K 12.958 * [backup-simplify]: Simplify n into n 12.958 * [backup-simplify]: Simplify (* 0 n) into 0 12.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.958 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.958 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 12.958 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 12.958 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.959 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.959 * [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)))))) 12.959 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 12.959 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 12.959 * [taylor]: Taking taylor expansion of (/ 1 M) in n 12.959 * [taylor]: Taking taylor expansion of M in n 12.959 * [backup-simplify]: Simplify M into M 12.959 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.959 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 12.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 12.959 * [taylor]: Taking taylor expansion of 1/2 in n 12.959 * [backup-simplify]: Simplify 1/2 into 1/2 12.959 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 12.959 * [taylor]: Taking taylor expansion of (* m K) in n 12.959 * [taylor]: Taking taylor expansion of m in n 12.959 * [backup-simplify]: Simplify m into m 12.959 * [taylor]: Taking taylor expansion of K in n 12.959 * [backup-simplify]: Simplify K into K 12.959 * [backup-simplify]: Simplify (* m K) into (* m K) 12.959 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 12.960 * [taylor]: Taking taylor expansion of 1/2 in n 12.960 * [backup-simplify]: Simplify 1/2 into 1/2 12.960 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.960 * [taylor]: Taking taylor expansion of (* K n) in n 12.960 * [taylor]: Taking taylor expansion of K in n 12.960 * [backup-simplify]: Simplify K into K 12.960 * [taylor]: Taking taylor expansion of n in n 12.960 * [backup-simplify]: Simplify 0 into 0 12.960 * [backup-simplify]: Simplify 1 into 1 12.960 * [backup-simplify]: Simplify (* K 0) into 0 12.964 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.965 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.965 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.965 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 12.965 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 12.965 * [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)))))) 12.965 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 12.965 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 12.965 * [taylor]: Taking taylor expansion of (/ 1 M) in m 12.965 * [taylor]: Taking taylor expansion of M in m 12.965 * [backup-simplify]: Simplify M into M 12.965 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.965 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 12.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 12.966 * [taylor]: Taking taylor expansion of 1/2 in m 12.966 * [backup-simplify]: Simplify 1/2 into 1/2 12.966 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 12.966 * [taylor]: Taking taylor expansion of (* m K) in m 12.966 * [taylor]: Taking taylor expansion of m in m 12.966 * [backup-simplify]: Simplify 0 into 0 12.966 * [backup-simplify]: Simplify 1 into 1 12.966 * [taylor]: Taking taylor expansion of K in m 12.966 * [backup-simplify]: Simplify K into K 12.966 * [backup-simplify]: Simplify (* 0 K) into 0 12.967 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 12.967 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 12.967 * [taylor]: Taking taylor expansion of 1/2 in m 12.967 * [backup-simplify]: Simplify 1/2 into 1/2 12.967 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 12.967 * [taylor]: Taking taylor expansion of (* K n) in m 12.967 * [taylor]: Taking taylor expansion of K in m 12.967 * [backup-simplify]: Simplify K into K 12.967 * [taylor]: Taking taylor expansion of n in m 12.967 * [backup-simplify]: Simplify n into n 12.967 * [backup-simplify]: Simplify (* K n) into (* K n) 12.967 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.967 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.967 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 12.967 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 12.968 * [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)))))) 12.968 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 12.968 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 12.968 * [taylor]: Taking taylor expansion of (/ 1 M) in m 12.968 * [taylor]: Taking taylor expansion of M in m 12.968 * [backup-simplify]: Simplify M into M 12.968 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.968 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 12.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 12.968 * [taylor]: Taking taylor expansion of 1/2 in m 12.968 * [backup-simplify]: Simplify 1/2 into 1/2 12.968 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 12.968 * [taylor]: Taking taylor expansion of (* m K) in m 12.968 * [taylor]: Taking taylor expansion of m in m 12.968 * [backup-simplify]: Simplify 0 into 0 12.968 * [backup-simplify]: Simplify 1 into 1 12.968 * [taylor]: Taking taylor expansion of K in m 12.968 * [backup-simplify]: Simplify K into K 12.968 * [backup-simplify]: Simplify (* 0 K) into 0 12.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 12.969 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 12.969 * [taylor]: Taking taylor expansion of 1/2 in m 12.969 * [backup-simplify]: Simplify 1/2 into 1/2 12.969 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 12.969 * [taylor]: Taking taylor expansion of (* K n) in m 12.969 * [taylor]: Taking taylor expansion of K in m 12.969 * [backup-simplify]: Simplify K into K 12.969 * [taylor]: Taking taylor expansion of n in m 12.969 * [backup-simplify]: Simplify n into n 12.969 * [backup-simplify]: Simplify (* K n) into (* K n) 12.969 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.969 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.969 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 12.969 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 12.970 * [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)))))) 12.970 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 12.970 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 12.970 * [taylor]: Taking taylor expansion of (/ 1 M) in n 12.970 * [taylor]: Taking taylor expansion of M in n 12.970 * [backup-simplify]: Simplify M into M 12.970 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.970 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 12.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 12.970 * [taylor]: Taking taylor expansion of 1/2 in n 12.970 * [backup-simplify]: Simplify 1/2 into 1/2 12.970 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 12.970 * [taylor]: Taking taylor expansion of (* m K) in n 12.970 * [taylor]: Taking taylor expansion of m in n 12.970 * [backup-simplify]: Simplify m into m 12.970 * [taylor]: Taking taylor expansion of K in n 12.970 * [backup-simplify]: Simplify K into K 12.970 * [backup-simplify]: Simplify (* m K) into (* m K) 12.970 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 12.971 * [taylor]: Taking taylor expansion of 1/2 in n 12.971 * [backup-simplify]: Simplify 1/2 into 1/2 12.971 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.971 * [taylor]: Taking taylor expansion of (* K n) in n 12.971 * [taylor]: Taking taylor expansion of K in n 12.971 * [backup-simplify]: Simplify K into K 12.971 * [taylor]: Taking taylor expansion of n in n 12.971 * [backup-simplify]: Simplify 0 into 0 12.971 * [backup-simplify]: Simplify 1 into 1 12.971 * [backup-simplify]: Simplify (* K 0) into 0 12.971 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.971 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.972 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 12.972 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 12.972 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 12.972 * [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)))))) 12.972 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 12.972 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 12.972 * [taylor]: Taking taylor expansion of (/ 1 M) in K 12.972 * [taylor]: Taking taylor expansion of M in K 12.972 * [backup-simplify]: Simplify M into M 12.972 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 12.972 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 12.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 12.972 * [taylor]: Taking taylor expansion of 1/2 in K 12.972 * [backup-simplify]: Simplify 1/2 into 1/2 12.972 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 12.972 * [taylor]: Taking taylor expansion of (* m K) in K 12.972 * [taylor]: Taking taylor expansion of m in K 12.972 * [backup-simplify]: Simplify m into m 12.972 * [taylor]: Taking taylor expansion of K in K 12.972 * [backup-simplify]: Simplify 0 into 0 12.973 * [backup-simplify]: Simplify 1 into 1 12.973 * [backup-simplify]: Simplify (* m 0) into 0 12.973 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 12.973 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 12.973 * [taylor]: Taking taylor expansion of 1/2 in K 12.973 * [backup-simplify]: Simplify 1/2 into 1/2 12.973 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 12.973 * [taylor]: Taking taylor expansion of (* K n) in K 12.973 * [taylor]: Taking taylor expansion of K in K 12.973 * [backup-simplify]: Simplify 0 into 0 12.973 * [backup-simplify]: Simplify 1 into 1 12.973 * [taylor]: Taking taylor expansion of n in K 12.973 * [backup-simplify]: Simplify n into n 12.973 * [backup-simplify]: Simplify (* 0 n) into 0 12.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.974 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.974 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 12.974 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 12.974 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.974 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 12.975 * [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)))))) 12.975 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 12.975 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 12.975 * [taylor]: Taking taylor expansion of (/ 1 M) in M 12.975 * [taylor]: Taking taylor expansion of M in M 12.975 * [backup-simplify]: Simplify 0 into 0 12.975 * [backup-simplify]: Simplify 1 into 1 12.975 * [backup-simplify]: Simplify (/ 1 1) into 1 12.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 12.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 12.975 * [taylor]: Taking taylor expansion of 1/2 in M 12.976 * [backup-simplify]: Simplify 1/2 into 1/2 12.976 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 12.976 * [taylor]: Taking taylor expansion of (* m K) in M 12.976 * [taylor]: Taking taylor expansion of m in M 12.976 * [backup-simplify]: Simplify m into m 12.976 * [taylor]: Taking taylor expansion of K in M 12.976 * [backup-simplify]: Simplify K into K 12.976 * [backup-simplify]: Simplify (* m K) into (* m K) 12.976 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 12.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 12.976 * [taylor]: Taking taylor expansion of 1/2 in M 12.976 * [backup-simplify]: Simplify 1/2 into 1/2 12.976 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 12.976 * [taylor]: Taking taylor expansion of (* K n) in M 12.976 * [taylor]: Taking taylor expansion of K in M 12.976 * [backup-simplify]: Simplify K into K 12.976 * [taylor]: Taking taylor expansion of n in M 12.976 * [backup-simplify]: Simplify n into n 12.976 * [backup-simplify]: Simplify (* K n) into (* K n) 12.976 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 12.977 * [backup-simplify]: Simplify (+ 1 0) into 1 12.977 * [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)))))) 12.977 * [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)))))) 12.977 * [taylor]: Taking taylor expansion of 0 in n 12.977 * [backup-simplify]: Simplify 0 into 0 12.977 * [taylor]: Taking taylor expansion of 0 in K 12.977 * [backup-simplify]: Simplify 0 into 0 12.977 * [taylor]: Taking taylor expansion of 0 in M 12.977 * [backup-simplify]: Simplify 0 into 0 12.977 * [backup-simplify]: Simplify 0 into 0 12.977 * [taylor]: Taking taylor expansion of 0 in K 12.977 * [backup-simplify]: Simplify 0 into 0 12.977 * [taylor]: Taking taylor expansion of 0 in M 12.977 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [taylor]: Taking taylor expansion of 0 in M 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [taylor]: Taking taylor expansion of 0 in n 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [taylor]: Taking taylor expansion of 0 in K 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [taylor]: Taking taylor expansion of 0 in M 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [taylor]: Taking taylor expansion of 0 in K 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [taylor]: Taking taylor expansion of 0 in M 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify 0 into 0 12.978 * [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)) 12.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 12.979 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 12.979 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 12.979 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 12.979 * [taylor]: Taking taylor expansion of K in K 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify 1 into 1 12.979 * [taylor]: Taking taylor expansion of (+ m n) in K 12.979 * [taylor]: Taking taylor expansion of m in K 12.979 * [backup-simplify]: Simplify m into m 12.979 * [taylor]: Taking taylor expansion of n in K 12.979 * [backup-simplify]: Simplify n into n 12.979 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 12.979 * [taylor]: Taking taylor expansion of K in n 12.979 * [backup-simplify]: Simplify K into K 12.979 * [taylor]: Taking taylor expansion of (+ m n) in n 12.979 * [taylor]: Taking taylor expansion of m in n 12.979 * [backup-simplify]: Simplify m into m 12.979 * [taylor]: Taking taylor expansion of n in n 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify 1 into 1 12.979 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.979 * [taylor]: Taking taylor expansion of K in m 12.979 * [backup-simplify]: Simplify K into K 12.979 * [taylor]: Taking taylor expansion of (+ m n) in m 12.979 * [taylor]: Taking taylor expansion of m in m 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify 1 into 1 12.979 * [taylor]: Taking taylor expansion of n in m 12.979 * [backup-simplify]: Simplify n into n 12.979 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 12.979 * [taylor]: Taking taylor expansion of K in m 12.979 * [backup-simplify]: Simplify K into K 12.979 * [taylor]: Taking taylor expansion of (+ m n) in m 12.979 * [taylor]: Taking taylor expansion of m in m 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify 1 into 1 12.979 * [taylor]: Taking taylor expansion of n in m 12.979 * [backup-simplify]: Simplify n into n 12.979 * [backup-simplify]: Simplify (+ 0 n) into n 12.980 * [backup-simplify]: Simplify (* K n) into (* K n) 12.980 * [taylor]: Taking taylor expansion of (* K n) in n 12.980 * [taylor]: Taking taylor expansion of K in n 12.980 * [backup-simplify]: Simplify K into K 12.980 * [taylor]: Taking taylor expansion of n in n 12.980 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify 1 into 1 12.980 * [backup-simplify]: Simplify (* K 0) into 0 12.980 * [taylor]: Taking taylor expansion of 0 in K 12.980 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify 0 into 0 12.980 * [backup-simplify]: Simplify (+ 1 0) into 1 12.980 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 12.981 * [taylor]: Taking taylor expansion of K in n 12.981 * [backup-simplify]: Simplify K into K 12.981 * [taylor]: Taking taylor expansion of K in K 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify 1 into 1 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.981 * [taylor]: Taking taylor expansion of K in K 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify 1 into 1 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify (+ 0 0) into 0 12.982 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 12.982 * [taylor]: Taking taylor expansion of 0 in n 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [taylor]: Taking taylor expansion of 0 in K 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [taylor]: Taking taylor expansion of 0 in K 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify 0 into 0 12.982 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 12.982 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 12.983 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 12.983 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 12.983 * [taylor]: Taking taylor expansion of (/ 1 m) in K 12.983 * [taylor]: Taking taylor expansion of m in K 12.983 * [backup-simplify]: Simplify m into m 12.983 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.983 * [taylor]: Taking taylor expansion of (/ 1 n) in K 12.983 * [taylor]: Taking taylor expansion of n in K 12.983 * [backup-simplify]: Simplify n into n 12.983 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.983 * [taylor]: Taking taylor expansion of K in K 12.983 * [backup-simplify]: Simplify 0 into 0 12.983 * [backup-simplify]: Simplify 1 into 1 12.983 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 12.983 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 12.983 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 12.983 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 12.983 * [taylor]: Taking taylor expansion of (/ 1 m) in n 12.983 * [taylor]: Taking taylor expansion of m in n 12.983 * [backup-simplify]: Simplify m into m 12.983 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 12.983 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.983 * [taylor]: Taking taylor expansion of n in n 12.983 * [backup-simplify]: Simplify 0 into 0 12.983 * [backup-simplify]: Simplify 1 into 1 12.984 * [backup-simplify]: Simplify (/ 1 1) into 1 12.984 * [taylor]: Taking taylor expansion of K in n 12.984 * [backup-simplify]: Simplify K into K 12.984 * [backup-simplify]: Simplify (+ 0 1) into 1 12.984 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.984 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.984 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.984 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.984 * [taylor]: Taking taylor expansion of m in m 12.984 * [backup-simplify]: Simplify 0 into 0 12.984 * [backup-simplify]: Simplify 1 into 1 12.985 * [backup-simplify]: Simplify (/ 1 1) into 1 12.985 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.985 * [taylor]: Taking taylor expansion of n in m 12.985 * [backup-simplify]: Simplify n into n 12.985 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.985 * [taylor]: Taking taylor expansion of K in m 12.985 * [backup-simplify]: Simplify K into K 12.985 * [backup-simplify]: Simplify (+ 1 0) into 1 12.985 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 12.985 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 12.985 * [taylor]: Taking taylor expansion of (/ 1 m) in m 12.985 * [taylor]: Taking taylor expansion of m in m 12.985 * [backup-simplify]: Simplify 0 into 0 12.986 * [backup-simplify]: Simplify 1 into 1 12.986 * [backup-simplify]: Simplify (/ 1 1) into 1 12.986 * [taylor]: Taking taylor expansion of (/ 1 n) in m 12.986 * [taylor]: Taking taylor expansion of n in m 12.986 * [backup-simplify]: Simplify n into n 12.986 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.986 * [taylor]: Taking taylor expansion of K in m 12.986 * [backup-simplify]: Simplify K into K 12.986 * [backup-simplify]: Simplify (+ 1 0) into 1 12.986 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.987 * [taylor]: Taking taylor expansion of (/ 1 K) in n 12.987 * [taylor]: Taking taylor expansion of K in n 12.987 * [backup-simplify]: Simplify K into K 12.987 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.988 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 12.988 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 12.988 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 12.988 * [taylor]: Taking taylor expansion of (* K n) in n 12.988 * [taylor]: Taking taylor expansion of K in n 12.988 * [backup-simplify]: Simplify K into K 12.988 * [taylor]: Taking taylor expansion of n in n 12.988 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [backup-simplify]: Simplify (* K 0) into 0 12.988 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.988 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 12.988 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.988 * [taylor]: Taking taylor expansion of K in K 12.988 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.989 * [backup-simplify]: Simplify (/ 1 1) into 1 12.989 * [backup-simplify]: Simplify 1 into 1 12.989 * [taylor]: Taking taylor expansion of (/ 1 K) in K 12.989 * [taylor]: Taking taylor expansion of K in K 12.989 * [backup-simplify]: Simplify 0 into 0 12.989 * [backup-simplify]: Simplify 1 into 1 12.989 * [backup-simplify]: Simplify (/ 1 1) into 1 12.989 * [backup-simplify]: Simplify 1 into 1 12.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 12.991 * [backup-simplify]: Simplify (+ 0 0) into 0 12.991 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 12.991 * [taylor]: Taking taylor expansion of 0 in n 12.991 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.992 * [taylor]: Taking taylor expansion of 0 in K 12.992 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 12.992 * [taylor]: Taking taylor expansion of 0 in K 12.992 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.993 * [backup-simplify]: Simplify 0 into 0 12.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.994 * [backup-simplify]: Simplify 0 into 0 12.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 12.995 * [backup-simplify]: Simplify (+ 0 0) into 0 12.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.996 * [taylor]: Taking taylor expansion of 0 in n 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [taylor]: Taking taylor expansion of 0 in K 12.996 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.997 * [taylor]: Taking taylor expansion of 0 in K 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 12.997 * [taylor]: Taking taylor expansion of 0 in K 12.997 * [backup-simplify]: Simplify 0 into 0 12.998 * [backup-simplify]: Simplify 0 into 0 12.998 * [backup-simplify]: Simplify 0 into 0 12.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.999 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.000 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 13.001 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 13.001 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 13.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 13.001 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 13.001 * [taylor]: Taking taylor expansion of (/ 1 m) in K 13.001 * [taylor]: Taking taylor expansion of m in K 13.001 * [backup-simplify]: Simplify m into m 13.001 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.001 * [taylor]: Taking taylor expansion of (/ 1 n) in K 13.001 * [taylor]: Taking taylor expansion of n in K 13.001 * [backup-simplify]: Simplify n into n 13.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.001 * [taylor]: Taking taylor expansion of K in K 13.001 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify 1 into 1 13.001 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 13.001 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 13.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 13.001 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 13.001 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.001 * [taylor]: Taking taylor expansion of m in n 13.001 * [backup-simplify]: Simplify m into m 13.001 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.001 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.001 * [taylor]: Taking taylor expansion of n in n 13.002 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify 1 into 1 13.002 * [backup-simplify]: Simplify (/ 1 1) into 1 13.002 * [taylor]: Taking taylor expansion of K in n 13.002 * [backup-simplify]: Simplify K into K 13.002 * [backup-simplify]: Simplify (+ 0 1) into 1 13.003 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 13.003 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 13.003 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.003 * [taylor]: Taking taylor expansion of m in m 13.003 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify 1 into 1 13.003 * [backup-simplify]: Simplify (/ 1 1) into 1 13.003 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.003 * [taylor]: Taking taylor expansion of n in m 13.003 * [backup-simplify]: Simplify n into n 13.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.003 * [taylor]: Taking taylor expansion of K in m 13.003 * [backup-simplify]: Simplify K into K 13.004 * [backup-simplify]: Simplify (+ 1 0) into 1 13.004 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.004 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 13.004 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 13.004 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.004 * [taylor]: Taking taylor expansion of m in m 13.004 * [backup-simplify]: Simplify 0 into 0 13.004 * [backup-simplify]: Simplify 1 into 1 13.005 * [backup-simplify]: Simplify (/ 1 1) into 1 13.005 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.005 * [taylor]: Taking taylor expansion of n in m 13.005 * [backup-simplify]: Simplify n into n 13.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.005 * [taylor]: Taking taylor expansion of K in m 13.005 * [backup-simplify]: Simplify K into K 13.005 * [backup-simplify]: Simplify (+ 1 0) into 1 13.005 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.005 * [taylor]: Taking taylor expansion of (/ 1 K) in n 13.005 * [taylor]: Taking taylor expansion of K in n 13.005 * [backup-simplify]: Simplify K into K 13.005 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.006 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 13.007 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 13.007 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.007 * [taylor]: Taking taylor expansion of (* K n) in n 13.007 * [taylor]: Taking taylor expansion of K in n 13.007 * [backup-simplify]: Simplify K into K 13.007 * [taylor]: Taking taylor expansion of n in n 13.007 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify 1 into 1 13.007 * [backup-simplify]: Simplify (* K 0) into 0 13.007 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.007 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.007 * [taylor]: Taking taylor expansion of (/ 1 K) in K 13.007 * [taylor]: Taking taylor expansion of K in K 13.007 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (/ 1 1) into 1 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [taylor]: Taking taylor expansion of (/ 1 K) in K 13.008 * [taylor]: Taking taylor expansion of K in K 13.008 * [backup-simplify]: Simplify 0 into 0 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (/ 1 1) into 1 13.008 * [backup-simplify]: Simplify 1 into 1 13.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.010 * [backup-simplify]: Simplify (+ 0 0) into 0 13.010 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 13.010 * [taylor]: Taking taylor expansion of 0 in n 13.010 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 13.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 13.011 * [taylor]: Taking taylor expansion of 0 in K 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 13.011 * [taylor]: Taking taylor expansion of 0 in K 13.011 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.012 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.013 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.015 * [backup-simplify]: Simplify (+ 0 0) into 0 13.015 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.015 * [taylor]: Taking taylor expansion of 0 in n 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [taylor]: Taking taylor expansion of 0 in K 13.015 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.016 * [taylor]: Taking taylor expansion of 0 in K 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 13.016 * [taylor]: Taking taylor expansion of 0 in K 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 0 into 0 13.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.018 * [backup-simplify]: Simplify 0 into 0 13.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.019 * [backup-simplify]: Simplify 0 into 0 13.019 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 13.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 13.019 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 13.019 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 13.019 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 13.019 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.020 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.020 * [taylor]: Taking taylor expansion of 1/2 in M 13.020 * [backup-simplify]: Simplify 1/2 into 1/2 13.020 * [taylor]: Taking taylor expansion of m in M 13.020 * [backup-simplify]: Simplify m into m 13.020 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.020 * [taylor]: Taking taylor expansion of 1/2 in M 13.020 * [backup-simplify]: Simplify 1/2 into 1/2 13.020 * [taylor]: Taking taylor expansion of n in M 13.020 * [backup-simplify]: Simplify n into n 13.020 * [taylor]: Taking taylor expansion of M in M 13.020 * [backup-simplify]: Simplify 0 into 0 13.020 * [backup-simplify]: Simplify 1 into 1 13.020 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 13.020 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.020 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 13.021 * [backup-simplify]: Simplify (- 0) into 0 13.021 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 13.021 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 13.021 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.021 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.021 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.021 * [taylor]: Taking taylor expansion of 1/2 in n 13.021 * [backup-simplify]: Simplify 1/2 into 1/2 13.021 * [taylor]: Taking taylor expansion of m in n 13.021 * [backup-simplify]: Simplify m into m 13.021 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.021 * [taylor]: Taking taylor expansion of 1/2 in n 13.021 * [backup-simplify]: Simplify 1/2 into 1/2 13.021 * [taylor]: Taking taylor expansion of n in n 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [taylor]: Taking taylor expansion of M in n 13.021 * [backup-simplify]: Simplify M into M 13.021 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 13.022 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.022 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 13.022 * [backup-simplify]: Simplify (- M) into (- M) 13.022 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 13.022 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 13.022 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.022 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.022 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.022 * [taylor]: Taking taylor expansion of 1/2 in m 13.022 * [backup-simplify]: Simplify 1/2 into 1/2 13.022 * [taylor]: Taking taylor expansion of m in m 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.022 * [taylor]: Taking taylor expansion of 1/2 in m 13.022 * [backup-simplify]: Simplify 1/2 into 1/2 13.022 * [taylor]: Taking taylor expansion of n in m 13.022 * [backup-simplify]: Simplify n into n 13.022 * [taylor]: Taking taylor expansion of M in m 13.022 * [backup-simplify]: Simplify M into M 13.023 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.023 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.023 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.023 * [backup-simplify]: Simplify (- M) into (- M) 13.023 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.023 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 13.023 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.023 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.023 * [taylor]: Taking taylor expansion of 1/2 in m 13.023 * [backup-simplify]: Simplify 1/2 into 1/2 13.023 * [taylor]: Taking taylor expansion of m in m 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.023 * [taylor]: Taking taylor expansion of 1/2 in m 13.023 * [backup-simplify]: Simplify 1/2 into 1/2 13.023 * [taylor]: Taking taylor expansion of n in m 13.023 * [backup-simplify]: Simplify n into n 13.023 * [taylor]: Taking taylor expansion of M in m 13.023 * [backup-simplify]: Simplify M into M 13.024 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.024 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.024 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.024 * [backup-simplify]: Simplify (- M) into (- M) 13.024 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.024 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 13.024 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 13.024 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 13.024 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.024 * [taylor]: Taking taylor expansion of 1/2 in n 13.024 * [backup-simplify]: Simplify 1/2 into 1/2 13.024 * [taylor]: Taking taylor expansion of n in n 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 1 into 1 13.024 * [taylor]: Taking taylor expansion of M in n 13.025 * [backup-simplify]: Simplify M into M 13.025 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.025 * [backup-simplify]: Simplify (- M) into (- M) 13.025 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.025 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 13.025 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.025 * [taylor]: Taking taylor expansion of M in M 13.025 * [backup-simplify]: Simplify 0 into 0 13.025 * [backup-simplify]: Simplify 1 into 1 13.026 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.027 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.027 * [backup-simplify]: Simplify (- 0) into 0 13.028 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.028 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 13.028 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 13.028 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.028 * [taylor]: Taking taylor expansion of 1/2 in n 13.028 * [backup-simplify]: Simplify 1/2 into 1/2 13.028 * [taylor]: Taking taylor expansion of n in n 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 1 into 1 13.028 * [taylor]: Taking taylor expansion of M in n 13.028 * [backup-simplify]: Simplify M into M 13.029 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.029 * [backup-simplify]: Simplify (- M) into (- M) 13.029 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.029 * [taylor]: Taking taylor expansion of (- M) in M 13.029 * [taylor]: Taking taylor expansion of M in M 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 1 into 1 13.029 * [backup-simplify]: Simplify (- 0) into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.030 * [backup-simplify]: Simplify (- 0) into 0 13.031 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.031 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 13.031 * [taylor]: Taking taylor expansion of (- M) in M 13.031 * [taylor]: Taking taylor expansion of M in M 13.031 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify 1 into 1 13.032 * [backup-simplify]: Simplify (- 0) into 0 13.032 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.034 * [backup-simplify]: Simplify (+ 0 0) into 0 13.034 * [backup-simplify]: Simplify (- 0) into 0 13.035 * [backup-simplify]: Simplify (+ 0 0) into 0 13.035 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 13.035 * [taylor]: Taking taylor expansion of 1/4 in n 13.035 * [backup-simplify]: Simplify 1/4 into 1/4 13.035 * [taylor]: Taking taylor expansion of 1/4 in M 13.035 * [backup-simplify]: Simplify 1/4 into 1/4 13.035 * [backup-simplify]: Simplify 1/4 into 1/4 13.036 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.037 * [backup-simplify]: Simplify (- 0) into 0 13.037 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.037 * [taylor]: Taking taylor expansion of 1/2 in M 13.037 * [backup-simplify]: Simplify 1/2 into 1/2 13.037 * [backup-simplify]: Simplify 1/2 into 1/2 13.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.039 * [backup-simplify]: Simplify (- 0) into 0 13.039 * [backup-simplify]: Simplify (+ 0 0) into 0 13.039 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 13.039 * [taylor]: Taking taylor expansion of 1/4 in M 13.039 * [backup-simplify]: Simplify 1/4 into 1/4 13.039 * [backup-simplify]: Simplify 1/4 into 1/4 13.040 * [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)))) 13.040 * [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) 13.040 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 13.040 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 13.041 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.041 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.041 * [taylor]: Taking taylor expansion of 1/2 in M 13.041 * [backup-simplify]: Simplify 1/2 into 1/2 13.041 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.041 * [taylor]: Taking taylor expansion of m in M 13.041 * [backup-simplify]: Simplify m into m 13.041 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.041 * [taylor]: Taking taylor expansion of 1/2 in M 13.041 * [backup-simplify]: Simplify 1/2 into 1/2 13.041 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.041 * [taylor]: Taking taylor expansion of n in M 13.041 * [backup-simplify]: Simplify n into n 13.041 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.041 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.041 * [taylor]: Taking taylor expansion of M in M 13.041 * [backup-simplify]: Simplify 0 into 0 13.041 * [backup-simplify]: Simplify 1 into 1 13.042 * [backup-simplify]: Simplify (/ 1 1) into 1 13.042 * [backup-simplify]: Simplify (- 1) into -1 13.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.042 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 13.042 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.043 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.043 * [taylor]: Taking taylor expansion of 1/2 in n 13.043 * [backup-simplify]: Simplify 1/2 into 1/2 13.043 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.043 * [taylor]: Taking taylor expansion of m in n 13.043 * [backup-simplify]: Simplify m into m 13.043 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.043 * [taylor]: Taking taylor expansion of 1/2 in n 13.043 * [backup-simplify]: Simplify 1/2 into 1/2 13.043 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.043 * [taylor]: Taking taylor expansion of n in n 13.043 * [backup-simplify]: Simplify 0 into 0 13.043 * [backup-simplify]: Simplify 1 into 1 13.043 * [backup-simplify]: Simplify (/ 1 1) into 1 13.043 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.043 * [taylor]: Taking taylor expansion of M in n 13.043 * [backup-simplify]: Simplify M into M 13.043 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.044 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.044 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.045 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.045 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 13.045 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.045 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.045 * [taylor]: Taking taylor expansion of 1/2 in m 13.045 * [backup-simplify]: Simplify 1/2 into 1/2 13.045 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.045 * [taylor]: Taking taylor expansion of m in m 13.045 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify 1 into 1 13.046 * [backup-simplify]: Simplify (/ 1 1) into 1 13.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.046 * [taylor]: Taking taylor expansion of 1/2 in m 13.046 * [backup-simplify]: Simplify 1/2 into 1/2 13.046 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.046 * [taylor]: Taking taylor expansion of n in m 13.046 * [backup-simplify]: Simplify n into n 13.046 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.046 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.046 * [taylor]: Taking taylor expansion of M in m 13.046 * [backup-simplify]: Simplify M into M 13.046 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.046 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.047 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.047 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.047 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 13.047 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.047 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.047 * [taylor]: Taking taylor expansion of 1/2 in m 13.048 * [backup-simplify]: Simplify 1/2 into 1/2 13.048 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.048 * [taylor]: Taking taylor expansion of m in m 13.048 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify 1 into 1 13.048 * [backup-simplify]: Simplify (/ 1 1) into 1 13.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.048 * [taylor]: Taking taylor expansion of 1/2 in m 13.048 * [backup-simplify]: Simplify 1/2 into 1/2 13.048 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.048 * [taylor]: Taking taylor expansion of n in m 13.048 * [backup-simplify]: Simplify n into n 13.048 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.048 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.048 * [taylor]: Taking taylor expansion of M in m 13.048 * [backup-simplify]: Simplify M into M 13.048 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.049 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.049 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.050 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.050 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.050 * [taylor]: Taking taylor expansion of 1/4 in n 13.050 * [backup-simplify]: Simplify 1/4 into 1/4 13.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.052 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.052 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.052 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.052 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.053 * [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)) 13.053 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.053 * [taylor]: Taking taylor expansion of 1/2 in n 13.053 * [backup-simplify]: Simplify 1/2 into 1/2 13.053 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.053 * [taylor]: Taking taylor expansion of n in n 13.053 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify 1 into 1 13.053 * [backup-simplify]: Simplify (/ 1 1) into 1 13.053 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.053 * [taylor]: Taking taylor expansion of M in n 13.053 * [backup-simplify]: Simplify M into M 13.054 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.056 * [backup-simplify]: Simplify (+ 0 0) into 0 13.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.057 * [backup-simplify]: Simplify (- 0) into 0 13.057 * [backup-simplify]: Simplify (+ 0 0) into 0 13.059 * [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))) 13.059 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 13.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 13.059 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.059 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.059 * [taylor]: Taking taylor expansion of M in n 13.059 * [backup-simplify]: Simplify M into M 13.059 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.059 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.059 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.059 * [taylor]: Taking taylor expansion of 1/4 in n 13.059 * [backup-simplify]: Simplify 1/4 into 1/4 13.059 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.059 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.059 * [taylor]: Taking taylor expansion of n in n 13.059 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify 1 into 1 13.060 * [backup-simplify]: Simplify (* 1 1) into 1 13.060 * [backup-simplify]: Simplify (/ 1 1) into 1 13.060 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.060 * [taylor]: Taking taylor expansion of (* M n) in n 13.060 * [taylor]: Taking taylor expansion of M in n 13.060 * [backup-simplify]: Simplify M into M 13.060 * [taylor]: Taking taylor expansion of n in n 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.060 * [backup-simplify]: Simplify (* M 0) into 0 13.061 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.061 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.061 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.062 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.062 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.062 * [taylor]: Taking taylor expansion of 1/4 in M 13.062 * [backup-simplify]: Simplify 1/4 into 1/4 13.063 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.063 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.063 * [taylor]: Taking taylor expansion of 1/2 in M 13.063 * [backup-simplify]: Simplify 1/2 into 1/2 13.063 * [taylor]: Taking taylor expansion of 1/4 in M 13.063 * [backup-simplify]: Simplify 1/4 into 1/4 13.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.067 * [backup-simplify]: Simplify (+ 0 0) into 0 13.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.067 * [backup-simplify]: Simplify (- 0) into 0 13.068 * [backup-simplify]: Simplify (+ 0 0) into 0 13.070 * [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 13.070 * [taylor]: Taking taylor expansion of 0 in n 13.070 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.073 * [backup-simplify]: Simplify (+ 0 0) into 0 13.073 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.073 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.073 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.073 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.073 * [taylor]: Taking taylor expansion of M in M 13.073 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify 1 into 1 13.074 * [backup-simplify]: Simplify (/ 1 1) into 1 13.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.075 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.075 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.075 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.075 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.075 * [taylor]: Taking taylor expansion of M in M 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 1 into 1 13.076 * [backup-simplify]: Simplify (/ 1 1) into 1 13.076 * [taylor]: Taking taylor expansion of 0 in M 13.076 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.080 * [backup-simplify]: Simplify (+ 0 0) into 0 13.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.081 * [backup-simplify]: Simplify (- 0) into 0 13.081 * [backup-simplify]: Simplify (+ 0 0) into 0 13.082 * [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 13.082 * [taylor]: Taking taylor expansion of 0 in n 13.082 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.085 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.085 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.086 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.086 * [backup-simplify]: Simplify (- 0) into 0 13.087 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.087 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.087 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.087 * [taylor]: Taking taylor expansion of M in M 13.087 * [backup-simplify]: Simplify 0 into 0 13.087 * [backup-simplify]: Simplify 1 into 1 13.087 * [backup-simplify]: Simplify (* 1 1) into 1 13.087 * [backup-simplify]: Simplify (/ 1 1) into 1 13.087 * [backup-simplify]: Simplify 1 into 1 13.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.090 * [backup-simplify]: Simplify (- 0) into 0 13.090 * [backup-simplify]: Simplify (+ 0 0) into 0 13.090 * [taylor]: Taking taylor expansion of 0 in M 13.090 * [backup-simplify]: Simplify 0 into 0 13.090 * [taylor]: Taking taylor expansion of 0 in M 13.090 * [backup-simplify]: Simplify 0 into 0 13.091 * [backup-simplify]: Simplify (- 1) into -1 13.091 * [backup-simplify]: Simplify -1 into -1 13.091 * [backup-simplify]: Simplify (- 1) into -1 13.091 * [backup-simplify]: Simplify -1 into -1 13.092 * [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))) 13.092 * [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) 13.093 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 13.093 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 13.093 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.093 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.093 * [taylor]: Taking taylor expansion of M in M 13.093 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (/ 1 1) into 1 13.093 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.093 * [taylor]: Taking taylor expansion of 1/2 in M 13.093 * [backup-simplify]: Simplify 1/2 into 1/2 13.093 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.093 * [taylor]: Taking taylor expansion of m in M 13.093 * [backup-simplify]: Simplify m into m 13.093 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.093 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.093 * [taylor]: Taking taylor expansion of 1/2 in M 13.093 * [backup-simplify]: Simplify 1/2 into 1/2 13.093 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.093 * [taylor]: Taking taylor expansion of n in M 13.093 * [backup-simplify]: Simplify n into n 13.093 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.094 * [backup-simplify]: Simplify (+ 1 0) into 1 13.094 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 13.094 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.094 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.094 * [taylor]: Taking taylor expansion of M in n 13.094 * [backup-simplify]: Simplify M into M 13.094 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.094 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.094 * [taylor]: Taking taylor expansion of 1/2 in n 13.094 * [backup-simplify]: Simplify 1/2 into 1/2 13.094 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.094 * [taylor]: Taking taylor expansion of m in n 13.094 * [backup-simplify]: Simplify m into m 13.094 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.094 * [taylor]: Taking taylor expansion of 1/2 in n 13.094 * [backup-simplify]: Simplify 1/2 into 1/2 13.094 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.094 * [taylor]: Taking taylor expansion of n in n 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.095 * [backup-simplify]: Simplify (/ 1 1) into 1 13.095 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.096 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 13.096 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.096 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.096 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 13.097 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.097 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.097 * [taylor]: Taking taylor expansion of M in m 13.097 * [backup-simplify]: Simplify M into M 13.097 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.097 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.097 * [taylor]: Taking taylor expansion of 1/2 in m 13.097 * [backup-simplify]: Simplify 1/2 into 1/2 13.097 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.097 * [taylor]: Taking taylor expansion of m in m 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [backup-simplify]: Simplify (/ 1 1) into 1 13.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.097 * [taylor]: Taking taylor expansion of 1/2 in m 13.097 * [backup-simplify]: Simplify 1/2 into 1/2 13.097 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.097 * [taylor]: Taking taylor expansion of n in m 13.097 * [backup-simplify]: Simplify n into n 13.097 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.098 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.098 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.099 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.099 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.099 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 13.099 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.099 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.099 * [taylor]: Taking taylor expansion of M in m 13.099 * [backup-simplify]: Simplify M into M 13.099 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.099 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.099 * [taylor]: Taking taylor expansion of 1/2 in m 13.099 * [backup-simplify]: Simplify 1/2 into 1/2 13.099 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.099 * [taylor]: Taking taylor expansion of m in m 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 1 into 1 13.100 * [backup-simplify]: Simplify (/ 1 1) into 1 13.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.100 * [taylor]: Taking taylor expansion of 1/2 in m 13.100 * [backup-simplify]: Simplify 1/2 into 1/2 13.100 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.100 * [taylor]: Taking taylor expansion of n in m 13.100 * [backup-simplify]: Simplify n into n 13.100 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.100 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.101 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.101 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.102 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.102 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 13.102 * [taylor]: Taking taylor expansion of 1/4 in n 13.102 * [backup-simplify]: Simplify 1/4 into 1/4 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.104 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.104 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.104 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.104 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.104 * [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)) 13.104 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.104 * [taylor]: Taking taylor expansion of 1/2 in n 13.104 * [backup-simplify]: Simplify 1/2 into 1/2 13.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.104 * [taylor]: Taking taylor expansion of n in n 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify 1 into 1 13.105 * [backup-simplify]: Simplify (/ 1 1) into 1 13.105 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.105 * [taylor]: Taking taylor expansion of M in n 13.105 * [backup-simplify]: Simplify M into M 13.105 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.107 * [backup-simplify]: Simplify (+ 0 0) into 0 13.108 * [backup-simplify]: Simplify (- 0) into 0 13.108 * [backup-simplify]: Simplify (+ 0 0) into 0 13.109 * [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))) 13.109 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 13.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 13.109 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.109 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.109 * [taylor]: Taking taylor expansion of M in n 13.109 * [backup-simplify]: Simplify M into M 13.109 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.109 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.109 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.109 * [taylor]: Taking taylor expansion of 1/4 in n 13.109 * [backup-simplify]: Simplify 1/4 into 1/4 13.109 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.109 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.109 * [taylor]: Taking taylor expansion of n in n 13.109 * [backup-simplify]: Simplify 0 into 0 13.109 * [backup-simplify]: Simplify 1 into 1 13.109 * [backup-simplify]: Simplify (* 1 1) into 1 13.110 * [backup-simplify]: Simplify (/ 1 1) into 1 13.110 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.110 * [taylor]: Taking taylor expansion of (* M n) in n 13.110 * [taylor]: Taking taylor expansion of M in n 13.110 * [backup-simplify]: Simplify M into M 13.110 * [taylor]: Taking taylor expansion of n in n 13.110 * [backup-simplify]: Simplify 0 into 0 13.110 * [backup-simplify]: Simplify 1 into 1 13.110 * [backup-simplify]: Simplify (* M 0) into 0 13.110 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.110 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.110 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.111 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.111 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.111 * [taylor]: Taking taylor expansion of 1/4 in M 13.111 * [backup-simplify]: Simplify 1/4 into 1/4 13.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.115 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.115 * [taylor]: Taking taylor expansion of 1/2 in M 13.115 * [backup-simplify]: Simplify 1/2 into 1/2 13.115 * [taylor]: Taking taylor expansion of 1/4 in M 13.115 * [backup-simplify]: Simplify 1/4 into 1/4 13.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.117 * [backup-simplify]: Simplify (+ 0 0) into 0 13.117 * [backup-simplify]: Simplify (- 0) into 0 13.118 * [backup-simplify]: Simplify (+ 0 0) into 0 13.118 * [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 13.118 * [taylor]: Taking taylor expansion of 0 in n 13.118 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.120 * [backup-simplify]: Simplify (+ 0 0) into 0 13.120 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.120 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.120 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.120 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.120 * [taylor]: Taking taylor expansion of M in M 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify 1 into 1 13.120 * [backup-simplify]: Simplify (/ 1 1) into 1 13.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.121 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.121 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.121 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.122 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.122 * [taylor]: Taking taylor expansion of M in M 13.122 * [backup-simplify]: Simplify 0 into 0 13.122 * [backup-simplify]: Simplify 1 into 1 13.122 * [backup-simplify]: Simplify (/ 1 1) into 1 13.122 * [taylor]: Taking taylor expansion of 0 in M 13.122 * [backup-simplify]: Simplify 0 into 0 13.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.124 * [backup-simplify]: Simplify (+ 0 0) into 0 13.125 * [backup-simplify]: Simplify (- 0) into 0 13.125 * [backup-simplify]: Simplify (+ 0 0) into 0 13.126 * [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 13.126 * [taylor]: Taking taylor expansion of 0 in n 13.126 * [backup-simplify]: Simplify 0 into 0 13.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.128 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.128 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.128 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.128 * [backup-simplify]: Simplify (- 0) into 0 13.128 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.128 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.129 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.129 * [taylor]: Taking taylor expansion of M in M 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [backup-simplify]: Simplify 1 into 1 13.129 * [backup-simplify]: Simplify (* 1 1) into 1 13.129 * [backup-simplify]: Simplify (/ 1 1) into 1 13.129 * [backup-simplify]: Simplify 1 into 1 13.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.131 * [backup-simplify]: Simplify (- 0) into 0 13.131 * [backup-simplify]: Simplify (+ 0 0) into 0 13.131 * [taylor]: Taking taylor expansion of 0 in M 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [taylor]: Taking taylor expansion of 0 in M 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify (- 1) into -1 13.131 * [backup-simplify]: Simplify -1 into -1 13.131 * [backup-simplify]: Simplify (- 1) into -1 13.131 * [backup-simplify]: Simplify -1 into -1 13.132 * [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))) 13.133 * * * [progress]: simplifying candidates 13.133 * * * * [progress]: [ 1 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 1) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 2 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 3 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 4 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 5 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) (posit16->real (real->posit16 (* (+ m n) K)))) (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 6 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K)))) (sqrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 7 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 8 / 103 ] simplifiying candidate # 13.133 * * * * [progress]: [ 9 / 103 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 10 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 11 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 12 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2)) (cos M)) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin M))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 13 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) 1) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 14 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 15 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 16 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 17 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 18 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.133 * * * * [progress]: [ 19 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 20 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 21 / 103 ] simplifiying candidate #real (real->posit16 (pow (* (+ m n) K) 1))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 22 / 103 ] simplifiying candidate #real (real->posit16 (pow (* (+ m n) K) 1))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 23 / 103 ] simplifiying candidate #real (real->posit16 (exp (+ (log (+ m n)) (log K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 24 / 103 ] simplifiying candidate #real (real->posit16 (exp (log (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 25 / 103 ] simplifiying candidate #real (real->posit16 (log (exp (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 26 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 27 / 103 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 28 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 29 / 103 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 30 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (* (+ m n) K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 31 / 103 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 32 / 103 ] simplifiying candidate #real (real->posit16 (* (* (+ m n) (* (cbrt K) (cbrt K))) (cbrt K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 33 / 103 ] simplifiying candidate #real (real->posit16 (* (* (+ m n) (sqrt K)) (sqrt K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 34 / 103 ] simplifiying candidate #real (real->posit16 (* (* (+ m n) 1) K))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 35 / 103 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (+ m n)) (cbrt (+ m n))) (* (cbrt (+ m n)) K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 36 / 103 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ m n)) (* (sqrt (+ m n)) K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 37 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (* (+ m n) K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 38 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (* (+ m n) K)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 39 / 103 ] simplifiying candidate #real (real->posit16 (/ (* (+ (pow m 3) (pow n 3)) K) (+ (* m m) (- (* n n) (* m n)))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 40 / 103 ] simplifiying candidate #real (real->posit16 (/ (* (- (* m m) (* n n)) K) (- m n)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 41 / 103 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 42 / 103 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.134 * * * * [progress]: [ 43 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (pow (- (/ (+ m n) 2) M) (+ 1 1)) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 44 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 45 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (pow (- (/ (+ m n) 2) M) 2) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 46 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (pow (- (/ (+ m n) 2) M) (+ 1 1)) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 47 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 48 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (exp (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 49 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (exp (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 50 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (log (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 51 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (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)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 52 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (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)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 53 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (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)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 54 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 55 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (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))))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 56 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (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))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 57 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (* (/ (+ 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))))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 58 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 59 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 60 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (* (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)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 61 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 62 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 63 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.135 * * * * [progress]: [ 64 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M)))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 65 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (+ (/ (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)))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 66 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 67 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 68 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 69 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (pow (- (/ (+ m n) 2) M) (* 2 1)) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 70 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 71 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 72 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 73 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 74 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (cbrt (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 75 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 76 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 77 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 78 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 79 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 80 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 81 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (sqrt (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 82 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 83 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 84 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 85 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 13.136 * * * * [progress]: [ 86 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 87 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 88 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 89 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (+ (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 90 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 91 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 92 / 103 ] simplifiying candidate # 13.137 * * * * [progress]: [ 93 / 103 ] simplifiying candidate # 13.137 * * * * [progress]: [ 94 / 103 ] simplifiying candidate # 13.137 * * * * [progress]: [ 95 / 103 ] simplifiying candidate # 13.137 * * * * [progress]: [ 96 / 103 ] simplifiying candidate # 13.137 * * * * [progress]: [ 97 / 103 ] simplifiying candidate # 13.137 * * * * [progress]: [ 98 / 103 ] simplifiying candidate #real (real->posit16 0)) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 99 / 103 ] simplifiying candidate #real (real->posit16 (+ (* K n) (* K m)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 100 / 103 ] simplifiying candidate #real (real->posit16 (+ (* K n) (* K m)))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 101 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 102 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (- (pow M 2) (+ (* m M) (* M n))) (- l (fabs (- m n)))))))> 13.137 * * * * [progress]: [ 103 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (+ (- (pow M 2) (+ (* m M) (* M n))) (- l (fabs (- m n)))))))> 13.138 * [simplify]: Simplifying: (log (posit16->real (real->posit16 (* (+ m n) K)))) (exp (posit16->real (real->posit16 (* (+ m n) K)))) (* (cbrt (posit16->real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K)))) (* (* (posit16->real (real->posit16 (* (+ m n) K))) (posit16->real (real->posit16 (* (+ m n) K)))) (posit16->real (real->posit16 (* (+ m n) K)))) (sqrt (posit16->real (real->posit16 (* (+ m n) K)))) (sqrt (posit16->real (real->posit16 (* (+ m n) K)))) (real->posit16 (posit16->real (real->posit16 (* (+ m n) K)))) (* (cos (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M))) (* (cos (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M))) (* (cos (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (cos M)) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin M)) (log (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (exp (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (* (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (* (* (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 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 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))) 0 (+ (* K n) (* K m)) (+ (* K n) (* K m)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 0 (+ (* K n) (* K m)) (+ (* K n) (* K 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))) 13.141 * * [simplify]: iteration 1: (170 enodes) 13.214 * * [simplify]: iteration 2: (423 enodes) 13.475 * * [simplify]: iteration 3: (1434 enodes) 14.508 * * [simplify]: Extracting #0: cost 63 inf + 0 14.510 * * [simplify]: Extracting #1: cost 728 inf + 3 14.522 * * [simplify]: Extracting #2: cost 1565 inf + 1562 14.540 * * [simplify]: Extracting #3: cost 1562 inf + 19548 14.583 * * [simplify]: Extracting #4: cost 1072 inf + 109064 14.695 * * [simplify]: Extracting #5: cost 232 inf + 337867 14.812 * * [simplify]: Extracting #6: cost 7 inf + 410180 14.958 * * [simplify]: Extracting #7: cost 0 inf + 412007 15.082 * [simplify]: Simplified to: (log (* K (+ m n))) (exp (* 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))) (real->posit16 (* K (+ m n))) (* (cos M) (cos (/ (* K (+ m n)) 2))) (* (- (sin M)) (sin (/ (* K (+ m n)) 2))) (* (cos M) (cos (/ (* K (+ m n)) 2))) (* (- (sin M)) (sin (/ (* K (+ m n)) 2))) (* (cos M) (cos (/ (* K (+ m n)) 2))) (* (sin M) (sin (/ (* K (+ m n)) 2))) (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))) (* 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) (* (+ n m) (cbrt K))) (* (sqrt K) (+ m n)) (+ n m) (* K (cbrt (+ n m))) (* (sqrt (+ n m)) K) (* K (+ m n)) (* K (+ m n)) (* K (+ (* (* m m) m) (* (* n n) n))) (* (+ n m) (* K (- m n))) (real->posit16 (* K (+ m n))) 2 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) 2 (log (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) (log (* (- (* 1/2 (+ n m)) M) (- (* 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)) (+ n m)) 8) (* (* M M) M)) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* 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))))) (+ (* (* (- (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* M M)) (* M M)) (- M)) (* (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* (- (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* M M)) (* 1/2 (+ n m))))) (* (+ M (* 1/2 (+ n m))) (+ (* (+ M (* 1/2 (+ n m))) M) (* (* 1/2 (+ n m)) (* 1/2 (+ n m))))) (+ (* (* (- (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* M M)) (* M M)) (- M)) (* (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* (- (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* M M)) (* 1/2 (+ n m))))) (* (+ M (* 1/2 (+ n m))) (+ (* (+ M (* 1/2 (+ n m))) M) (* (* 1/2 (+ n m)) (* 1/2 (+ n m))))) (* (- (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* M M)) (- (* (* 1/2 (+ n m)) (* 1/2 (+ n m))) (* 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 M) (sqrt (* 1/2 (+ n m)))) (+ (sqrt M) (sqrt (* 1/2 (+ n 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))) (* (- (* 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)) (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))))) (* (- (* 1/2 (+ n m)) M) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt 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) (+ n m)) (+ n m)) 8) (* (* M M) M))) (* (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (+ M (* 1/2 (+ n m)))) (* (- (* 1/2 (+ n m)) M) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* (* M M) M))) (* (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M)) (+ M (* 1/2 (+ n m)))) (real->posit16 (* (- (* 1/2 (+ n m)) M) (- (* 1/2 (+ n m)) M))) 0 (* K (+ m n)) (* K (+ m n)) 1 (cos (- (* (* K (+ m n)) 1/2) M)) (cos (- (* (* K (+ m n)) 1/2) M)) 0 (* K (+ m n)) (* K (+ m n)) (+ (* m (+ (* m 1/4) (* n 1/2))) (* n (* 1/4 n))) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) 15.105 * * * [progress]: adding candidates to table 18.742 * [progress]: [Phase 3 of 3] Extracting. 18.742 * * [regime]: Finding splitpoints for: (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> # # #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))>) 18.754 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 18.754 * * * * [regimes]: Trying to branch on l from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> # # #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))>) 18.891 * * * * [regimes]: Trying to branch on M from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> # # #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))>) 19.011 * * * * [regimes]: Trying to branch on n from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> # # #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))>) 19.123 * * * * [regimes]: Trying to branch on m from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> # # #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))>) 19.269 * * * * [regimes]: Trying to branch on K from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> # # #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (- l (fabs (- m n)))))))> #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M)) (exp (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- l (fabs (- m n)))))))>) 19.456 * * * [regime]: Found split indices: #