0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.137 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.137 * [simplify]: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.137 * * [simplify]: iteration 1: (21 enodes) 0.143 * * [simplify]: iteration 2: (93 enodes) 0.160 * * [simplify]: iteration 3: (172 enodes) 0.221 * * [simplify]: iteration 4: (359 enodes) 0.711 * * [simplify]: iteration 5: (885 enodes) 1.156 * * [simplify]: Extracting #0: cost 1 inf + 0 1.156 * * [simplify]: Extracting #1: cost 62 inf + 0 1.157 * * [simplify]: Extracting #2: cost 322 inf + 1 1.159 * * [simplify]: Extracting #3: cost 595 inf + 85 1.167 * * [simplify]: Extracting #4: cost 589 inf + 32041 1.209 * * [simplify]: Extracting #5: cost 242 inf + 135396 1.273 * * [simplify]: Extracting #6: cost 38 inf + 221116 1.383 * * [simplify]: Extracting #7: cost 0 inf + 241940 1.442 * [simplify]: Simplified to (* (exp (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cos (- (* K (/ (+ m n) 2)) M))) 1.454 * * [progress]: iteration 1 / 4 1.454 * * * [progress]: picking best candidate 1.459 * * * * [pick]: Picked # 1.459 * * * [progress]: localizing error 1.498 * * * [progress]: generating rewritten candidates 1.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.556 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.571 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.587 * * * [progress]: generating series expansions 1.587 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.587 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.587 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 1.587 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.587 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.587 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.587 * [taylor]: Taking taylor expansion of 1/2 in M 1.587 * [backup-simplify]: Simplify 1/2 into 1/2 1.587 * [taylor]: Taking taylor expansion of (* K n) in M 1.587 * [taylor]: Taking taylor expansion of K in M 1.587 * [backup-simplify]: Simplify K into K 1.587 * [taylor]: Taking taylor expansion of n in M 1.587 * [backup-simplify]: Simplify n into n 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.587 * [taylor]: Taking taylor expansion of 1/2 in M 1.587 * [backup-simplify]: Simplify 1/2 into 1/2 1.587 * [taylor]: Taking taylor expansion of (* K m) in M 1.587 * [taylor]: Taking taylor expansion of K in M 1.587 * [backup-simplify]: Simplify K into K 1.587 * [taylor]: Taking taylor expansion of m in M 1.587 * [backup-simplify]: Simplify m into m 1.587 * [taylor]: Taking taylor expansion of M in M 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (* K n) into (* K n) 1.588 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.588 * [backup-simplify]: Simplify (* K m) into (* K m) 1.588 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.588 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.589 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.589 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.589 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.589 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.589 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.589 * [taylor]: Taking taylor expansion of 1/2 in n 1.589 * [backup-simplify]: Simplify 1/2 into 1/2 1.589 * [taylor]: Taking taylor expansion of (* K n) in n 1.589 * [taylor]: Taking taylor expansion of K in n 1.589 * [backup-simplify]: Simplify K into K 1.589 * [taylor]: Taking taylor expansion of n in n 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.589 * [taylor]: Taking taylor expansion of 1/2 in n 1.589 * [backup-simplify]: Simplify 1/2 into 1/2 1.589 * [taylor]: Taking taylor expansion of (* K m) in n 1.589 * [taylor]: Taking taylor expansion of K in n 1.589 * [backup-simplify]: Simplify K into K 1.589 * [taylor]: Taking taylor expansion of m in n 1.589 * [backup-simplify]: Simplify m into m 1.589 * [taylor]: Taking taylor expansion of M in n 1.589 * [backup-simplify]: Simplify M into M 1.589 * [backup-simplify]: Simplify (* K 0) into 0 1.589 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.589 * [backup-simplify]: Simplify (* K m) into (* K m) 1.589 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.589 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.589 * [backup-simplify]: Simplify (- M) into (- M) 1.590 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.590 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.590 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 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 1.590 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) 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 m) 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 m in m 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [taylor]: Taking taylor expansion of M in m 1.590 * [backup-simplify]: Simplify M into M 1.590 * [backup-simplify]: Simplify (* K n) into (* K n) 1.590 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.590 * [backup-simplify]: Simplify (* K 0) into 0 1.590 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.590 * [backup-simplify]: Simplify (- M) into (- M) 1.591 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.591 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.591 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.591 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.591 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.591 * [taylor]: Taking taylor expansion of 1/2 in K 1.591 * [backup-simplify]: Simplify 1/2 into 1/2 1.591 * [taylor]: Taking taylor expansion of (* K n) in K 1.591 * [taylor]: Taking taylor expansion of K in K 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [taylor]: Taking taylor expansion of n in K 1.591 * [backup-simplify]: Simplify n into n 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.591 * [taylor]: Taking taylor expansion of 1/2 in K 1.591 * [backup-simplify]: Simplify 1/2 into 1/2 1.591 * [taylor]: Taking taylor expansion of (* K m) in K 1.591 * [taylor]: Taking taylor expansion of K in K 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [taylor]: Taking taylor expansion of m in K 1.591 * [backup-simplify]: Simplify m into m 1.591 * [taylor]: Taking taylor expansion of M in K 1.591 * [backup-simplify]: Simplify M into M 1.591 * [backup-simplify]: Simplify (* 0 n) into 0 1.591 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.591 * [backup-simplify]: Simplify (* 0 m) into 0 1.592 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [backup-simplify]: Simplify (- M) into (- M) 1.592 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.592 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.592 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.592 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.592 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.592 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.592 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.592 * [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 1.593 * [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 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (- M) into (- M) 1.594 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.594 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.595 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.595 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.595 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.595 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.595 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.595 * [taylor]: Taking taylor expansion of (- M) in m 1.595 * [taylor]: Taking taylor expansion of M in m 1.595 * [backup-simplify]: Simplify M into M 1.595 * [backup-simplify]: Simplify (- M) into (- M) 1.595 * [backup-simplify]: Simplify (- M) into (- M) 1.595 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.595 * [backup-simplify]: Simplify (- M) into (- M) 1.596 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.596 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.596 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.596 * [taylor]: Taking taylor expansion of (cos (- M)) in n 1.596 * [taylor]: Taking taylor expansion of (- M) in n 1.596 * [taylor]: Taking taylor expansion of M in n 1.596 * [backup-simplify]: Simplify M into M 1.596 * [backup-simplify]: Simplify (- M) into (- M) 1.596 * [backup-simplify]: Simplify (- M) into (- M) 1.596 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.596 * [backup-simplify]: Simplify (- M) into (- M) 1.596 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.597 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.597 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.597 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.597 * [taylor]: Taking taylor expansion of (- M) in M 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 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (- 1) into -1 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (+ 0) into 0 1.599 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.600 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 1.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 1.601 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 1.601 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 1.602 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 1.602 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 1.603 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 1.603 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 1.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 1.603 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 1.603 * [taylor]: Taking taylor expansion of 1/2 in m 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 1.603 * [taylor]: Taking taylor expansion of (sin (- M)) in m 1.603 * [taylor]: Taking taylor expansion of (- M) in m 1.603 * [taylor]: Taking taylor expansion of M in m 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 (sin (- M)) into (sin (- M)) 1.603 * [backup-simplify]: Simplify (- M) into (- M) 1.603 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.603 * [taylor]: Taking taylor expansion of n in m 1.603 * [backup-simplify]: Simplify n into n 1.603 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 1.603 * [taylor]: Taking taylor expansion of 1/2 in m 1.603 * [backup-simplify]: Simplify 1/2 into 1/2 1.603 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 1.603 * [taylor]: Taking taylor expansion of m in m 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of (sin (- 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 M into M 1.604 * [backup-simplify]: Simplify (- M) into (- M) 1.604 * [backup-simplify]: Simplify (- M) into (- M) 1.604 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.604 * [backup-simplify]: Simplify (- M) into (- M) 1.604 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.604 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.604 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.604 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.604 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 1.604 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 1.604 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.604 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.604 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.605 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.605 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 1.605 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 1.605 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 1.605 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 1.605 * [taylor]: Taking taylor expansion of 1/2 in n 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 1.606 * [taylor]: Taking taylor expansion of (sin (- M)) in n 1.606 * [taylor]: Taking taylor expansion of (- M) in n 1.606 * [taylor]: Taking taylor expansion of M in n 1.606 * [backup-simplify]: Simplify M into M 1.606 * [backup-simplify]: Simplify (- M) into (- M) 1.606 * [backup-simplify]: Simplify (- M) into (- M) 1.606 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.606 * [backup-simplify]: Simplify (- M) into (- M) 1.606 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.606 * [taylor]: Taking taylor expansion of n in n 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.606 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.606 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.606 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.607 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.607 * [backup-simplify]: Simplify (- 0) into 0 1.607 * [taylor]: Taking taylor expansion of 0 in M 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.610 * [backup-simplify]: Simplify (- 0) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [taylor]: Taking taylor expansion of 0 in n 1.610 * [backup-simplify]: Simplify 0 into 0 1.611 * [taylor]: Taking taylor expansion of 0 in M 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (+ 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.613 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ 0 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 0 into 0 1.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 1.615 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 1.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.618 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 1.618 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 1.619 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 1.619 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 1.619 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 1.619 * [taylor]: Taking taylor expansion of 1/8 in m 1.619 * [backup-simplify]: Simplify 1/8 into 1/8 1.619 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 1.619 * [taylor]: Taking taylor expansion of (pow m 2) in m 1.619 * [taylor]: Taking taylor expansion of m in m 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.619 * [taylor]: Taking taylor expansion of (- M) in m 1.619 * [taylor]: Taking taylor expansion of M in m 1.619 * [backup-simplify]: Simplify M into M 1.619 * [backup-simplify]: Simplify (- M) into (- M) 1.619 * [backup-simplify]: Simplify (- M) into (- M) 1.619 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.619 * [backup-simplify]: Simplify (- M) into (- M) 1.619 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.619 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 1.619 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 1.619 * [taylor]: Taking taylor expansion of 1/8 in m 1.619 * [backup-simplify]: Simplify 1/8 into 1/8 1.619 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 1.619 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.619 * [taylor]: Taking taylor expansion of (- M) in m 1.619 * [taylor]: Taking taylor expansion of M in m 1.619 * [backup-simplify]: Simplify M into M 1.619 * [backup-simplify]: Simplify (- M) into (- M) 1.619 * [backup-simplify]: Simplify (- M) into (- M) 1.619 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.619 * [backup-simplify]: Simplify (- M) into (- M) 1.619 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.619 * [taylor]: Taking taylor expansion of (pow n 2) in m 1.619 * [taylor]: Taking taylor expansion of n in m 1.619 * [backup-simplify]: Simplify n into n 1.619 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 1.620 * [taylor]: Taking taylor expansion of 1/4 in m 1.620 * [backup-simplify]: Simplify 1/4 into 1/4 1.620 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 1.620 * [taylor]: Taking taylor expansion of m in m 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 1.620 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.620 * [taylor]: Taking taylor expansion of (- M) in m 1.620 * [taylor]: Taking taylor expansion of M in m 1.620 * [backup-simplify]: Simplify M into M 1.620 * [backup-simplify]: Simplify (- M) into (- M) 1.620 * [backup-simplify]: Simplify (- M) into (- M) 1.620 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.620 * [backup-simplify]: Simplify (- M) into (- M) 1.620 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.620 * [taylor]: Taking taylor expansion of n in m 1.620 * [backup-simplify]: Simplify n into n 1.620 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.620 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.620 * [backup-simplify]: Simplify (* n n) into (pow n 2) 1.620 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 1.620 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.620 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.621 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.621 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 1.621 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 1.621 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.621 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.622 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 1.622 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 1.622 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 1.622 * [taylor]: Taking taylor expansion of 1/8 in n 1.622 * [backup-simplify]: Simplify 1/8 into 1/8 1.622 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 1.622 * [taylor]: Taking taylor expansion of (cos (- M)) in n 1.622 * [taylor]: Taking taylor expansion of (- M) in n 1.622 * [taylor]: Taking taylor expansion of M in n 1.622 * [backup-simplify]: Simplify M into M 1.622 * [backup-simplify]: Simplify (- M) into (- M) 1.622 * [backup-simplify]: Simplify (- M) into (- M) 1.622 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.622 * [backup-simplify]: Simplify (- M) into (- M) 1.622 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.622 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (+ 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 1.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 1.627 * [backup-simplify]: Simplify (+ 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.628 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.629 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.629 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 1.629 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.629 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 1.629 * [taylor]: Taking taylor expansion of 1/2 in n 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of (sin (- M)) in n 1.629 * [taylor]: Taking taylor expansion of (- M) in n 1.629 * [taylor]: Taking taylor expansion of M in n 1.629 * [backup-simplify]: Simplify M into M 1.629 * [backup-simplify]: Simplify (- M) into (- M) 1.629 * [backup-simplify]: Simplify (- M) into (- M) 1.629 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.629 * [backup-simplify]: Simplify (- M) into (- M) 1.629 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.629 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.629 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.629 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.629 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 1.629 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.629 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.629 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.629 * [taylor]: Taking taylor expansion of 1/2 in M 1.629 * [backup-simplify]: Simplify 1/2 into 1/2 1.629 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.629 * [taylor]: Taking taylor expansion of (- M) in M 1.629 * [taylor]: Taking taylor expansion of M in M 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (- 1) into -1 1.630 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.630 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 1.633 * [backup-simplify]: Simplify (- 0) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.633 * [taylor]: Taking taylor expansion of 0 in n 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [taylor]: Taking taylor expansion of 0 in M 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.634 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 1.634 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.634 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.634 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.634 * [taylor]: Taking taylor expansion of 1/2 in M 1.634 * [backup-simplify]: Simplify 1/2 into 1/2 1.634 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.634 * [taylor]: Taking taylor expansion of (* m K) in M 1.634 * [taylor]: Taking taylor expansion of m in M 1.634 * [backup-simplify]: Simplify m into m 1.634 * [taylor]: Taking taylor expansion of K in M 1.634 * [backup-simplify]: Simplify K into K 1.634 * [backup-simplify]: Simplify (* m K) into (* m K) 1.634 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.634 * [taylor]: Taking taylor expansion of 1/2 in M 1.634 * [backup-simplify]: Simplify 1/2 into 1/2 1.634 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.634 * [taylor]: Taking taylor expansion of (* K n) in M 1.634 * [taylor]: Taking taylor expansion of K in M 1.634 * [backup-simplify]: Simplify K into K 1.634 * [taylor]: Taking taylor expansion of n in M 1.634 * [backup-simplify]: Simplify n into n 1.634 * [backup-simplify]: Simplify (* K n) into (* K n) 1.634 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.634 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.634 * [taylor]: Taking taylor expansion of M in M 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [backup-simplify]: Simplify (- 1) into -1 1.635 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.635 * [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))) 1.635 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.635 * [taylor]: Taking taylor expansion of 1/2 in n 1.635 * [backup-simplify]: Simplify 1/2 into 1/2 1.635 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.635 * [taylor]: Taking taylor expansion of (* m K) in n 1.635 * [taylor]: Taking taylor expansion of m in n 1.635 * [backup-simplify]: Simplify m into m 1.635 * [taylor]: Taking taylor expansion of K in n 1.635 * [backup-simplify]: Simplify K into K 1.635 * [backup-simplify]: Simplify (* m K) into (* m K) 1.635 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.635 * [taylor]: Taking taylor expansion of 1/2 in n 1.635 * [backup-simplify]: Simplify 1/2 into 1/2 1.635 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.635 * [taylor]: Taking taylor expansion of (* K n) in n 1.635 * [taylor]: Taking taylor expansion of K in n 1.635 * [backup-simplify]: Simplify K into K 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* K 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.636 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.636 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.636 * [taylor]: Taking taylor expansion of M in n 1.636 * [backup-simplify]: Simplify M into M 1.636 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.636 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.636 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.636 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.636 * [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))) 1.636 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.636 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.636 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.636 * [taylor]: Taking taylor expansion of 1/2 in m 1.636 * [backup-simplify]: Simplify 1/2 into 1/2 1.636 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.636 * [taylor]: Taking taylor expansion of (* m K) in m 1.636 * [taylor]: Taking taylor expansion of m in m 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [taylor]: Taking taylor expansion of K in m 1.636 * [backup-simplify]: Simplify K into K 1.636 * [backup-simplify]: Simplify (* 0 K) into 0 1.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.637 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.637 * [taylor]: Taking taylor expansion of 1/2 in m 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.637 * [taylor]: Taking taylor expansion of (* K n) in m 1.637 * [taylor]: Taking taylor expansion of K in m 1.637 * [backup-simplify]: Simplify K into K 1.637 * [taylor]: Taking taylor expansion of n in m 1.637 * [backup-simplify]: Simplify n into n 1.637 * [backup-simplify]: Simplify (* K n) into (* K n) 1.637 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.637 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.637 * [taylor]: Taking taylor expansion of M in m 1.637 * [backup-simplify]: Simplify M into M 1.637 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.637 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.637 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.637 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.637 * [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))) 1.637 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.637 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.637 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.637 * [taylor]: Taking taylor expansion of 1/2 in K 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.637 * [taylor]: Taking taylor expansion of (* m K) in K 1.638 * [taylor]: Taking taylor expansion of m in K 1.638 * [backup-simplify]: Simplify m into m 1.638 * [taylor]: Taking taylor expansion of K in K 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (* m 0) into 0 1.638 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.638 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.638 * [taylor]: Taking taylor expansion of 1/2 in K 1.638 * [backup-simplify]: Simplify 1/2 into 1/2 1.638 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.638 * [taylor]: Taking taylor expansion of (* K n) in K 1.638 * [taylor]: Taking taylor expansion of K in K 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [taylor]: Taking taylor expansion of n in K 1.638 * [backup-simplify]: Simplify n into n 1.638 * [backup-simplify]: Simplify (* 0 n) into 0 1.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.638 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.638 * [taylor]: Taking taylor expansion of M in K 1.638 * [backup-simplify]: Simplify M into M 1.638 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.638 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.639 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.639 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.639 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.639 * [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))) 1.639 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.639 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.639 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.639 * [taylor]: Taking taylor expansion of 1/2 in K 1.639 * [backup-simplify]: Simplify 1/2 into 1/2 1.639 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.639 * [taylor]: Taking taylor expansion of (* m K) in K 1.639 * [taylor]: Taking taylor expansion of m in K 1.639 * [backup-simplify]: Simplify m into m 1.639 * [taylor]: Taking taylor expansion of K in K 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (* m 0) into 0 1.639 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.639 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.639 * [taylor]: Taking taylor expansion of 1/2 in K 1.639 * [backup-simplify]: Simplify 1/2 into 1/2 1.639 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.640 * [taylor]: Taking taylor expansion of (* K n) in K 1.640 * [taylor]: Taking taylor expansion of K in K 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of n in K 1.640 * [backup-simplify]: Simplify n into n 1.640 * [backup-simplify]: Simplify (* 0 n) into 0 1.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.640 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.640 * [taylor]: Taking taylor expansion of M in K 1.640 * [backup-simplify]: Simplify M into M 1.640 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.640 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.640 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.640 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.640 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.640 * [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))) 1.640 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.641 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.641 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.641 * [taylor]: Taking taylor expansion of 1/2 in m 1.641 * [backup-simplify]: Simplify 1/2 into 1/2 1.641 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.641 * [taylor]: Taking taylor expansion of (* m K) in m 1.641 * [taylor]: Taking taylor expansion of m in m 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [taylor]: Taking taylor expansion of K in m 1.641 * [backup-simplify]: Simplify K into K 1.641 * [backup-simplify]: Simplify (* 0 K) into 0 1.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.641 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.641 * [taylor]: Taking taylor expansion of 1/2 in m 1.641 * [backup-simplify]: Simplify 1/2 into 1/2 1.641 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.641 * [taylor]: Taking taylor expansion of (* K n) in m 1.641 * [taylor]: Taking taylor expansion of K in m 1.641 * [backup-simplify]: Simplify K into K 1.641 * [taylor]: Taking taylor expansion of n in m 1.641 * [backup-simplify]: Simplify n into n 1.641 * [backup-simplify]: Simplify (* K n) into (* K n) 1.641 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.641 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.641 * [taylor]: Taking taylor expansion of M in m 1.641 * [backup-simplify]: Simplify M into M 1.641 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.641 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.641 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.641 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.642 * [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))) 1.642 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.642 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.642 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.642 * [taylor]: Taking taylor expansion of 1/2 in n 1.642 * [backup-simplify]: Simplify 1/2 into 1/2 1.642 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.642 * [taylor]: Taking taylor expansion of (* m K) in n 1.642 * [taylor]: Taking taylor expansion of m in n 1.642 * [backup-simplify]: Simplify m into m 1.642 * [taylor]: Taking taylor expansion of K in n 1.642 * [backup-simplify]: Simplify K into K 1.642 * [backup-simplify]: Simplify (* m K) into (* m K) 1.642 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.642 * [taylor]: Taking taylor expansion of 1/2 in n 1.642 * [backup-simplify]: Simplify 1/2 into 1/2 1.642 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.642 * [taylor]: Taking taylor expansion of (* K n) in n 1.642 * [taylor]: Taking taylor expansion of K in n 1.642 * [backup-simplify]: Simplify K into K 1.642 * [taylor]: Taking taylor expansion of n in n 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (* K 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.642 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.642 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.642 * [taylor]: Taking taylor expansion of M in n 1.643 * [backup-simplify]: Simplify M into M 1.643 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.643 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.643 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.643 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.643 * [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))) 1.643 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.643 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.643 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.643 * [taylor]: Taking taylor expansion of 1/2 in M 1.643 * [backup-simplify]: Simplify 1/2 into 1/2 1.643 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.643 * [taylor]: Taking taylor expansion of (* m K) in M 1.643 * [taylor]: Taking taylor expansion of m in M 1.643 * [backup-simplify]: Simplify m into m 1.643 * [taylor]: Taking taylor expansion of K in M 1.643 * [backup-simplify]: Simplify K into K 1.643 * [backup-simplify]: Simplify (* m K) into (* m K) 1.643 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.643 * [taylor]: Taking taylor expansion of 1/2 in M 1.643 * [backup-simplify]: Simplify 1/2 into 1/2 1.643 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.643 * [taylor]: Taking taylor expansion of (* K n) in M 1.643 * [taylor]: Taking taylor expansion of K in M 1.643 * [backup-simplify]: Simplify K into K 1.643 * [taylor]: Taking taylor expansion of n in M 1.643 * [backup-simplify]: Simplify n into n 1.643 * [backup-simplify]: Simplify (* K n) into (* K n) 1.644 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.644 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.644 * [taylor]: Taking taylor expansion of M in M 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [backup-simplify]: Simplify (- 1) into -1 1.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.645 * [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))) 1.645 * [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))) 1.645 * [taylor]: Taking taylor expansion of 0 in m 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in n 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in M 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in n 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in M 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in M 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in m 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in n 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in M 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in n 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [taylor]: Taking taylor expansion of 0 in M 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [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)) 1.646 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.646 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 1.646 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.646 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.646 * [taylor]: Taking taylor expansion of M in M 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.646 * [taylor]: Taking taylor expansion of 1/2 in M 1.646 * [backup-simplify]: Simplify 1/2 into 1/2 1.646 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.646 * [taylor]: Taking taylor expansion of (* m K) in M 1.646 * [taylor]: Taking taylor expansion of m in M 1.646 * [backup-simplify]: Simplify m into m 1.646 * [taylor]: Taking taylor expansion of K in M 1.646 * [backup-simplify]: Simplify K into K 1.646 * [backup-simplify]: Simplify (* m K) into (* m K) 1.647 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) 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 (/ 1 (* K n)) in M 1.647 * [taylor]: Taking taylor expansion of (* K n) in M 1.647 * [taylor]: Taking taylor expansion of K in M 1.647 * [backup-simplify]: Simplify K into K 1.647 * [taylor]: Taking taylor expansion of n in M 1.647 * [backup-simplify]: Simplify n into n 1.647 * [backup-simplify]: Simplify (* K n) into (* K n) 1.647 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [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)))))) 1.647 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.647 * [taylor]: Taking taylor expansion of M in n 1.647 * [backup-simplify]: Simplify M into M 1.647 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.647 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.647 * [taylor]: Taking taylor expansion of 1/2 in n 1.647 * [backup-simplify]: Simplify 1/2 into 1/2 1.647 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.647 * [taylor]: Taking taylor expansion of (* m K) in n 1.647 * [taylor]: Taking taylor expansion of m in n 1.647 * [backup-simplify]: Simplify m into m 1.647 * [taylor]: Taking taylor expansion of K in n 1.647 * [backup-simplify]: Simplify K into K 1.647 * [backup-simplify]: Simplify (* m K) into (* m K) 1.648 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.648 * [taylor]: Taking taylor expansion of 1/2 in n 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.648 * [taylor]: Taking taylor expansion of (* K n) in n 1.648 * [taylor]: Taking taylor expansion of K in n 1.648 * [backup-simplify]: Simplify K into K 1.648 * [taylor]: Taking taylor expansion of n in n 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (* K 0) into 0 1.648 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.648 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.648 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.648 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.648 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.648 * [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)))))) 1.648 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.648 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.648 * [taylor]: Taking taylor expansion of M in m 1.648 * [backup-simplify]: Simplify M into M 1.648 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.648 * [taylor]: Taking taylor expansion of 1/2 in m 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.649 * [taylor]: Taking taylor expansion of (* m K) in m 1.649 * [taylor]: Taking taylor expansion of m in m 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of K in m 1.649 * [backup-simplify]: Simplify K into K 1.649 * [backup-simplify]: Simplify (* 0 K) into 0 1.649 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.649 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.649 * [taylor]: Taking taylor expansion of 1/2 in m 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.649 * [taylor]: Taking taylor expansion of (* K n) in m 1.649 * [taylor]: Taking taylor expansion of K in m 1.649 * [backup-simplify]: Simplify K into K 1.649 * [taylor]: Taking taylor expansion of n in m 1.649 * [backup-simplify]: Simplify n into n 1.649 * [backup-simplify]: Simplify (* K n) into (* K n) 1.649 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.649 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.649 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.649 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.649 * [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)))))) 1.650 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.650 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.650 * [taylor]: Taking taylor expansion of M in K 1.650 * [backup-simplify]: Simplify M into M 1.650 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.650 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.650 * [taylor]: Taking taylor expansion of 1/2 in K 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.650 * [taylor]: Taking taylor expansion of (* m K) in K 1.650 * [taylor]: Taking taylor expansion of m in K 1.650 * [backup-simplify]: Simplify m into m 1.650 * [taylor]: Taking taylor expansion of K in K 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (* m 0) into 0 1.650 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.650 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.650 * [taylor]: Taking taylor expansion of 1/2 in K 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.650 * [taylor]: Taking taylor expansion of (* K n) in K 1.650 * [taylor]: Taking taylor expansion of K in K 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [taylor]: Taking taylor expansion of n in K 1.650 * [backup-simplify]: Simplify n into n 1.650 * [backup-simplify]: Simplify (* 0 n) into 0 1.651 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.651 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.651 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.651 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.651 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.651 * [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)))))) 1.651 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.651 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.651 * [taylor]: Taking taylor expansion of M in K 1.651 * [backup-simplify]: Simplify M into M 1.651 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.651 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.651 * [taylor]: Taking taylor expansion of 1/2 in K 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.651 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.651 * [taylor]: Taking taylor expansion of (* m K) in K 1.651 * [taylor]: Taking taylor expansion of m in K 1.651 * [backup-simplify]: Simplify m into m 1.651 * [taylor]: Taking taylor expansion of K in K 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (* m 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.652 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.652 * [taylor]: Taking taylor expansion of 1/2 in K 1.652 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.652 * [taylor]: Taking taylor expansion of (* K n) in K 1.652 * [taylor]: Taking taylor expansion of K in K 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [taylor]: Taking taylor expansion of n in K 1.652 * [backup-simplify]: Simplify n into n 1.652 * [backup-simplify]: Simplify (* 0 n) into 0 1.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.652 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.652 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.652 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.652 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.652 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.653 * [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)))))) 1.653 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.653 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.653 * [taylor]: Taking taylor expansion of M in m 1.653 * [backup-simplify]: Simplify M into M 1.653 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.653 * [taylor]: Taking taylor expansion of 1/2 in m 1.653 * [backup-simplify]: Simplify 1/2 into 1/2 1.653 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.653 * [taylor]: Taking taylor expansion of (* m K) in m 1.653 * [taylor]: Taking taylor expansion of m in m 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of K in m 1.653 * [backup-simplify]: Simplify K into K 1.653 * [backup-simplify]: Simplify (* 0 K) into 0 1.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.653 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.653 * [taylor]: Taking taylor expansion of 1/2 in m 1.653 * [backup-simplify]: Simplify 1/2 into 1/2 1.653 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.653 * [taylor]: Taking taylor expansion of (* K n) in m 1.653 * [taylor]: Taking taylor expansion of K in m 1.653 * [backup-simplify]: Simplify K into K 1.653 * [taylor]: Taking taylor expansion of n in m 1.653 * [backup-simplify]: Simplify n into n 1.653 * [backup-simplify]: Simplify (* K n) into (* K n) 1.653 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.654 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.654 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.654 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.654 * [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)))))) 1.654 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.654 * [taylor]: Taking taylor expansion of M in n 1.654 * [backup-simplify]: Simplify M into M 1.654 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.654 * [taylor]: Taking taylor expansion of 1/2 in n 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.654 * [taylor]: Taking taylor expansion of (* m K) in n 1.654 * [taylor]: Taking taylor expansion of m in n 1.654 * [backup-simplify]: Simplify m into m 1.654 * [taylor]: Taking taylor expansion of K in n 1.654 * [backup-simplify]: Simplify K into K 1.654 * [backup-simplify]: Simplify (* m K) into (* m K) 1.654 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.654 * [taylor]: Taking taylor expansion of 1/2 in n 1.654 * [backup-simplify]: Simplify 1/2 into 1/2 1.654 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.654 * [taylor]: Taking taylor expansion of (* K n) in n 1.654 * [taylor]: Taking taylor expansion of K in n 1.654 * [backup-simplify]: Simplify K into K 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* K 0) into 0 1.655 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.655 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.655 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.655 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.655 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.655 * [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)))))) 1.655 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.655 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.655 * [taylor]: Taking taylor expansion of M in M 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (/ 1 1) into 1 1.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* 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) 1.656 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.656 * [taylor]: Taking taylor expansion of 1/2 in M 1.656 * [backup-simplify]: Simplify 1/2 into 1/2 1.656 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.656 * [taylor]: Taking taylor expansion of (* K n) in M 1.656 * [taylor]: Taking taylor expansion of K in M 1.656 * [backup-simplify]: Simplify K into K 1.656 * [taylor]: Taking taylor expansion of n in M 1.656 * [backup-simplify]: Simplify n into n 1.656 * [backup-simplify]: Simplify (* K n) into (* K n) 1.656 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.656 * [backup-simplify]: Simplify (+ 1 0) into 1 1.656 * [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)))))) 1.656 * [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)))))) 1.656 * [taylor]: Taking taylor expansion of 0 in m 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [taylor]: Taking taylor expansion of 0 in n 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in M 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in n 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in M 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in M 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in m 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in n 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in M 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in n 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [taylor]: Taking taylor expansion of 0 in M 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [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)) 1.657 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.657 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 1.657 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 1.657 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 1.657 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 1.657 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 1.658 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 1.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 1.658 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 1.658 * [taylor]: Taking taylor expansion of 1/2 in l 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of m in l 1.658 * [backup-simplify]: Simplify m into m 1.658 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 1.658 * [taylor]: Taking taylor expansion of 1/2 in l 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of n in l 1.658 * [backup-simplify]: Simplify n into n 1.658 * [taylor]: Taking taylor expansion of M in l 1.658 * [backup-simplify]: Simplify M into M 1.658 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 1.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 1.658 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 1.658 * [taylor]: Taking taylor expansion of 1/2 in l 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of m in l 1.658 * [backup-simplify]: Simplify m into m 1.658 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 1.658 * [taylor]: Taking taylor expansion of 1/2 in l 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of n in l 1.658 * [backup-simplify]: Simplify n into n 1.658 * [taylor]: Taking taylor expansion of M in l 1.658 * [backup-simplify]: Simplify M into M 1.658 * [taylor]: Taking taylor expansion of l in l 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 1.658 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 1.658 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 1.658 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.658 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.658 * [taylor]: Taking taylor expansion of 1/2 in M 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of m in M 1.658 * [backup-simplify]: Simplify m into m 1.658 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.658 * [taylor]: Taking taylor expansion of 1/2 in M 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of n in M 1.658 * [backup-simplify]: Simplify n into n 1.658 * [taylor]: Taking taylor expansion of M in M 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.658 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.658 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.658 * [taylor]: Taking taylor expansion of 1/2 in M 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of m in M 1.658 * [backup-simplify]: Simplify m into m 1.658 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.658 * [taylor]: Taking taylor expansion of 1/2 in M 1.658 * [backup-simplify]: Simplify 1/2 into 1/2 1.658 * [taylor]: Taking taylor expansion of n in M 1.658 * [backup-simplify]: Simplify n into n 1.658 * [taylor]: Taking taylor expansion of M in M 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of l in M 1.658 * [backup-simplify]: Simplify l into l 1.658 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 1.658 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 1.658 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 1.658 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.659 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.659 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.659 * [taylor]: Taking taylor expansion of 1/2 in n 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of m in n 1.659 * [backup-simplify]: Simplify m into m 1.659 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.659 * [taylor]: Taking taylor expansion of 1/2 in n 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of n in n 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [taylor]: Taking taylor expansion of M in n 1.659 * [backup-simplify]: Simplify M into M 1.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.659 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.659 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.659 * [taylor]: Taking taylor expansion of 1/2 in n 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of m in n 1.659 * [backup-simplify]: Simplify m into m 1.659 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.659 * [taylor]: Taking taylor expansion of 1/2 in n 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of n in n 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [taylor]: Taking taylor expansion of M in n 1.659 * [backup-simplify]: Simplify M into M 1.659 * [taylor]: Taking taylor expansion of l in n 1.659 * [backup-simplify]: Simplify l into l 1.659 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 1.659 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 1.659 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 1.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.659 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.659 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.659 * [taylor]: Taking taylor expansion of 1/2 in m 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of m in m 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.659 * [taylor]: Taking taylor expansion of 1/2 in m 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of n in m 1.659 * [backup-simplify]: Simplify n into n 1.659 * [taylor]: Taking taylor expansion of M in m 1.659 * [backup-simplify]: Simplify M into M 1.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.659 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.659 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.659 * [taylor]: Taking taylor expansion of 1/2 in m 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of m in m 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.659 * [taylor]: Taking taylor expansion of 1/2 in m 1.659 * [backup-simplify]: Simplify 1/2 into 1/2 1.659 * [taylor]: Taking taylor expansion of n in m 1.659 * [backup-simplify]: Simplify n into n 1.659 * [taylor]: Taking taylor expansion of M in m 1.659 * [backup-simplify]: Simplify M into M 1.659 * [taylor]: Taking taylor expansion of l in m 1.659 * [backup-simplify]: Simplify l into l 1.659 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 1.659 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 1.659 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 1.660 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.660 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.660 * [taylor]: Taking taylor expansion of 1/2 in m 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of m in m 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.660 * [taylor]: Taking taylor expansion of 1/2 in m 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of n in m 1.660 * [backup-simplify]: Simplify n into n 1.660 * [taylor]: Taking taylor expansion of M in m 1.660 * [backup-simplify]: Simplify M into M 1.660 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.660 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.660 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.660 * [taylor]: Taking taylor expansion of 1/2 in m 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of m in m 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.660 * [taylor]: Taking taylor expansion of 1/2 in m 1.660 * [backup-simplify]: Simplify 1/2 into 1/2 1.660 * [taylor]: Taking taylor expansion of n in m 1.660 * [backup-simplify]: Simplify n into n 1.660 * [taylor]: Taking taylor expansion of M in m 1.660 * [backup-simplify]: Simplify M into M 1.660 * [taylor]: Taking taylor expansion of l in m 1.660 * [backup-simplify]: Simplify l into l 1.660 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.660 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.660 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.660 * [backup-simplify]: Simplify (- M) into (- M) 1.661 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.661 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.661 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.661 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.661 * [backup-simplify]: Simplify (- M) into (- M) 1.661 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.661 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.661 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 1.661 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 1.661 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 1.661 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.661 * [taylor]: Taking taylor expansion of M in n 1.662 * [backup-simplify]: Simplify M into M 1.662 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 1.662 * [taylor]: Taking taylor expansion of l in n 1.662 * [backup-simplify]: Simplify l into l 1.662 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 1.662 * [taylor]: Taking taylor expansion of 1/4 in n 1.662 * [backup-simplify]: Simplify 1/4 into 1/4 1.662 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [taylor]: Taking taylor expansion of (* M n) in n 1.662 * [taylor]: Taking taylor expansion of M in n 1.662 * [backup-simplify]: Simplify M into M 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.662 * [backup-simplify]: Simplify (+ l 0) into l 1.662 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 1.662 * [backup-simplify]: Simplify (* M 0) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.662 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 1.662 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 1.662 * [taylor]: Taking taylor expansion of (pow M 2) 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 l in M 1.662 * [backup-simplify]: Simplify l into l 1.662 * [backup-simplify]: Simplify (+ 0 l) into l 1.662 * [taylor]: Taking taylor expansion of l in l 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.663 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.664 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.666 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.666 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 1.666 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.666 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.666 * [taylor]: Taking taylor expansion of 1/2 in n 1.666 * [backup-simplify]: Simplify 1/2 into 1/2 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [taylor]: Taking taylor expansion of M in n 1.666 * [backup-simplify]: Simplify M into M 1.666 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.666 * [backup-simplify]: Simplify (- M) into (- M) 1.666 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.666 * [taylor]: Taking taylor expansion of (- M) in M 1.666 * [taylor]: Taking taylor expansion of M in M 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (- 0) into 0 1.666 * [taylor]: Taking taylor expansion of 0 in l 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.667 * [backup-simplify]: Simplify (- M) into (- M) 1.667 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.667 * [taylor]: Taking taylor expansion of (- M) in M 1.667 * [taylor]: Taking taylor expansion of M in M 1.667 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (- 0) into 0 1.668 * [taylor]: Taking taylor expansion of 0 in l 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [taylor]: Taking taylor expansion of 0 in l 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (- 0) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (- 0) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.676 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.676 * [taylor]: Taking taylor expansion of 1/4 in n 1.676 * [backup-simplify]: Simplify 1/4 into 1/4 1.676 * [taylor]: Taking taylor expansion of 1/4 in M 1.676 * [backup-simplify]: Simplify 1/4 into 1/4 1.676 * [taylor]: Taking taylor expansion of 1/4 in l 1.676 * [backup-simplify]: Simplify 1/4 into 1/4 1.676 * [backup-simplify]: Simplify 1/4 into 1/4 1.677 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.677 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.677 * [taylor]: Taking taylor expansion of 1/2 in M 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.677 * [taylor]: Taking taylor expansion of 1/2 in l 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.677 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 1.679 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 1.679 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 1.679 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 1.679 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 1.679 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 1.679 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 1.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 1.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 1.679 * [taylor]: Taking taylor expansion of 1/2 in l 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (/ 1 m) in l 1.679 * [taylor]: Taking taylor expansion of m in l 1.679 * [backup-simplify]: Simplify m into m 1.679 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 1.679 * [taylor]: Taking taylor expansion of 1/2 in l 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (/ 1 n) in l 1.679 * [taylor]: Taking taylor expansion of n in l 1.679 * [backup-simplify]: Simplify n into n 1.679 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.679 * [taylor]: Taking taylor expansion of (/ 1 M) in l 1.679 * [taylor]: Taking taylor expansion of M in l 1.679 * [backup-simplify]: Simplify M into M 1.679 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.679 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 1.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 1.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 1.679 * [taylor]: Taking taylor expansion of 1/2 in l 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.679 * [taylor]: Taking taylor expansion of (/ 1 m) in l 1.679 * [taylor]: Taking taylor expansion of m in l 1.679 * [backup-simplify]: Simplify m into m 1.679 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 1.680 * [taylor]: Taking taylor expansion of 1/2 in l 1.680 * [backup-simplify]: Simplify 1/2 into 1/2 1.680 * [taylor]: Taking taylor expansion of (/ 1 n) in l 1.680 * [taylor]: Taking taylor expansion of n in l 1.680 * [backup-simplify]: Simplify n into n 1.680 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.680 * [taylor]: Taking taylor expansion of (/ 1 M) in l 1.680 * [taylor]: Taking taylor expansion of M in l 1.680 * [backup-simplify]: Simplify M into M 1.680 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.680 * [taylor]: Taking taylor expansion of (/ 1 l) in l 1.680 * [taylor]: Taking taylor expansion of l in l 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 1.680 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 1.680 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 1.680 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.681 * [taylor]: Taking taylor expansion of 1/2 in M 1.681 * [backup-simplify]: Simplify 1/2 into 1/2 1.681 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.681 * [taylor]: Taking taylor expansion of m in M 1.681 * [backup-simplify]: Simplify m into m 1.681 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.681 * [taylor]: Taking taylor expansion of 1/2 in M 1.681 * [backup-simplify]: Simplify 1/2 into 1/2 1.681 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.681 * [taylor]: Taking taylor expansion of n in M 1.681 * [backup-simplify]: Simplify n into n 1.681 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.681 * [taylor]: Taking taylor expansion of (/ 1 M) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.681 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.681 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.681 * [taylor]: Taking taylor expansion of 1/2 in M 1.681 * [backup-simplify]: Simplify 1/2 into 1/2 1.681 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.681 * [taylor]: Taking taylor expansion of m in M 1.682 * [backup-simplify]: Simplify m into m 1.682 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.682 * [taylor]: Taking taylor expansion of 1/2 in M 1.682 * [backup-simplify]: Simplify 1/2 into 1/2 1.682 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.682 * [taylor]: Taking taylor expansion of n in M 1.682 * [backup-simplify]: Simplify n into n 1.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.682 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.682 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [taylor]: Taking taylor expansion of (/ 1 l) in M 1.682 * [taylor]: Taking taylor expansion of l in M 1.682 * [backup-simplify]: Simplify l into l 1.682 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.682 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 1.682 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 1.682 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 1.682 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.682 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.683 * [taylor]: Taking taylor expansion of 1/2 in n 1.683 * [backup-simplify]: Simplify 1/2 into 1/2 1.683 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.683 * [taylor]: Taking taylor expansion of m in n 1.683 * [backup-simplify]: Simplify m into m 1.683 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.683 * [taylor]: Taking taylor expansion of 1/2 in n 1.683 * [backup-simplify]: Simplify 1/2 into 1/2 1.683 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.683 * [taylor]: Taking taylor expansion of M in n 1.683 * [backup-simplify]: Simplify M into M 1.683 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.683 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.683 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.683 * [taylor]: Taking taylor expansion of 1/2 in n 1.683 * [backup-simplify]: Simplify 1/2 into 1/2 1.683 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.683 * [taylor]: Taking taylor expansion of m in n 1.683 * [backup-simplify]: Simplify m into m 1.684 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.684 * [taylor]: Taking taylor expansion of 1/2 in n 1.684 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 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 l) in n 1.684 * [taylor]: Taking taylor expansion of l in n 1.684 * [backup-simplify]: Simplify l into l 1.684 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.684 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 1.684 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 1.684 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 1.684 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.684 * [taylor]: Taking taylor expansion of 1/2 in m 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 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 (* 1/2 (/ 1 n)) in m 1.685 * [taylor]: Taking taylor expansion of 1/2 in m 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1 M) in m 1.685 * [taylor]: Taking taylor expansion of M in m 1.685 * [backup-simplify]: Simplify M into M 1.685 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.685 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.685 * [taylor]: Taking taylor expansion of 1/2 in m 1.685 * [backup-simplify]: Simplify 1/2 into 1/2 1.685 * [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 (* 1/2 (/ 1 n)) in m 1.686 * [taylor]: Taking taylor expansion of 1/2 in m 1.686 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1 M) in m 1.686 * [taylor]: Taking taylor expansion of M in m 1.686 * [backup-simplify]: Simplify M into M 1.686 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.686 * [taylor]: Taking taylor expansion of (/ 1 l) in m 1.686 * [taylor]: Taking taylor expansion of l in m 1.686 * [backup-simplify]: Simplify l into l 1.686 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.686 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 1.686 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 1.686 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 1.686 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.687 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.687 * [taylor]: Taking taylor expansion of 1/2 in m 1.687 * [backup-simplify]: Simplify 1/2 into 1/2 1.687 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.687 * [taylor]: Taking taylor expansion of m in m 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.687 * [taylor]: Taking taylor expansion of 1/2 in m 1.687 * [backup-simplify]: Simplify 1/2 into 1/2 1.687 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.687 * [taylor]: Taking taylor expansion of n in m 1.687 * [backup-simplify]: Simplify n into n 1.687 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.687 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.687 * [taylor]: Taking taylor expansion of M in m 1.687 * [backup-simplify]: Simplify M into M 1.687 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.687 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.688 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.688 * [taylor]: Taking taylor expansion of 1/2 in m 1.688 * [backup-simplify]: Simplify 1/2 into 1/2 1.688 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.688 * [taylor]: Taking taylor expansion of m in m 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 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.688 * [taylor]: Taking taylor expansion of 1/2 in m 1.688 * [backup-simplify]: Simplify 1/2 into 1/2 1.688 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.688 * [taylor]: Taking taylor expansion of n in m 1.688 * [backup-simplify]: Simplify n into n 1.688 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.688 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.688 * [taylor]: Taking taylor expansion of M in m 1.688 * [backup-simplify]: Simplify M into M 1.688 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.688 * [taylor]: Taking taylor expansion of (/ 1 l) in m 1.688 * [taylor]: Taking taylor expansion of l in m 1.688 * [backup-simplify]: Simplify l into l 1.688 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.689 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.690 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.690 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.690 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.691 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.691 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.692 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.692 * [taylor]: Taking taylor expansion of 1/4 in n 1.692 * [backup-simplify]: Simplify 1/4 into 1/4 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.693 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.693 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.693 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.695 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.695 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.695 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.695 * [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)) 1.695 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.695 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.696 * [taylor]: Taking taylor expansion of 1/2 in n 1.696 * [backup-simplify]: Simplify 1/2 into 1/2 1.696 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.696 * [taylor]: Taking taylor expansion of M in n 1.696 * [backup-simplify]: Simplify M into M 1.696 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [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))) 1.706 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 1.706 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.706 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.706 * [taylor]: Taking taylor expansion of M in n 1.706 * [backup-simplify]: Simplify M into M 1.706 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.707 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.707 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 1.707 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.707 * [taylor]: Taking taylor expansion of 1/4 in n 1.707 * [backup-simplify]: Simplify 1/4 into 1/4 1.707 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.707 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.707 * [taylor]: Taking taylor expansion of n in n 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (* 1 1) into 1 1.708 * [backup-simplify]: Simplify (/ 1 1) into 1 1.708 * [taylor]: Taking taylor expansion of (/ 1 l) in n 1.708 * [taylor]: Taking taylor expansion of l in n 1.708 * [backup-simplify]: Simplify l into l 1.708 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.708 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.708 * [taylor]: Taking taylor expansion of (* M n) in n 1.708 * [taylor]: Taking taylor expansion of M in n 1.708 * [backup-simplify]: Simplify M into M 1.708 * [taylor]: Taking taylor expansion of n in n 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (* M 0) into 0 1.708 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.709 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.709 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.709 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.710 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.710 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.710 * [taylor]: Taking taylor expansion of 1/4 in M 1.710 * [backup-simplify]: Simplify 1/4 into 1/4 1.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.711 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.711 * [taylor]: Taking taylor expansion of 1/2 in M 1.711 * [backup-simplify]: Simplify 1/2 into 1/2 1.711 * [taylor]: Taking taylor expansion of 1/4 in M 1.712 * [backup-simplify]: Simplify 1/4 into 1/4 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.716 * [backup-simplify]: Simplify (- 0) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.720 * [backup-simplify]: Simplify (- 0) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [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 1.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [taylor]: Taking taylor expansion of 0 in n 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.726 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.726 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.726 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.726 * [taylor]: Taking taylor expansion of M in M 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.728 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.728 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.728 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.728 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.728 * [taylor]: Taking taylor expansion of M in M 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.729 * [taylor]: Taking taylor expansion of 0 in M 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.734 * [backup-simplify]: Simplify (- 0) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.739 * [backup-simplify]: Simplify (- 0) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [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 1.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.742 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [taylor]: Taking taylor expansion of 0 in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 1.746 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 1.746 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.747 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.747 * [taylor]: Taking taylor expansion of M in M 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1 1) into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [taylor]: Taking taylor expansion of (/ 1 l) in M 1.748 * [taylor]: Taking taylor expansion of l in M 1.748 * [backup-simplify]: Simplify l into l 1.748 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.749 * [backup-simplify]: Simplify (+ 1 0) into 1 1.749 * [taylor]: Taking taylor expansion of 1 in l 1.749 * [backup-simplify]: Simplify 1 into 1 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 M) (/ 0 M)))) into 0 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [taylor]: Taking taylor expansion of 0 in M 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [taylor]: Taking taylor expansion of 0 in M 1.754 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (- 1) into -1 1.755 * [taylor]: Taking taylor expansion of -1 in l 1.755 * [backup-simplify]: Simplify -1 into -1 1.755 * [backup-simplify]: Simplify (- 1) into -1 1.755 * [taylor]: Taking taylor expansion of -1 in l 1.755 * [backup-simplify]: Simplify -1 into -1 1.755 * [taylor]: Taking taylor expansion of 1/4 in l 1.756 * [backup-simplify]: Simplify 1/4 into 1/4 1.756 * [taylor]: Taking taylor expansion of 1/2 in l 1.756 * [backup-simplify]: Simplify 1/2 into 1/2 1.756 * [taylor]: Taking taylor expansion of 1/4 in l 1.756 * [backup-simplify]: Simplify 1/4 into 1/4 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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)) (* 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 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [taylor]: Taking taylor expansion of 0 in n 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [taylor]: Taking taylor expansion of 0 in M 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 1.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 1.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.773 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [taylor]: Taking taylor expansion of 0 in M 1.773 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [taylor]: Taking taylor expansion of 0 in M 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [taylor]: Taking taylor expansion of 0 in M 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.776 * [taylor]: Taking taylor expansion of 0 in l 1.776 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.777 * [taylor]: Taking taylor expansion of 0 in l 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [taylor]: Taking taylor expansion of 0 in l 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in l 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in l 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in l 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [taylor]: Taking taylor expansion of 0 in l 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify -1 into -1 1.778 * [backup-simplify]: Simplify -1 into -1 1.779 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.779 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 1.779 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 1.779 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 1.779 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 1.779 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 1.779 * [taylor]: Taking taylor expansion of (/ 1 M) in l 1.779 * [taylor]: Taking taylor expansion of M in l 1.779 * [backup-simplify]: Simplify M into M 1.779 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 1.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 1.779 * [taylor]: Taking taylor expansion of 1/2 in l 1.779 * [backup-simplify]: Simplify 1/2 into 1/2 1.779 * [taylor]: Taking taylor expansion of (/ 1 m) in l 1.779 * [taylor]: Taking taylor expansion of m in l 1.779 * [backup-simplify]: Simplify m into m 1.779 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 1.779 * [taylor]: Taking taylor expansion of 1/2 in l 1.779 * [backup-simplify]: Simplify 1/2 into 1/2 1.779 * [taylor]: Taking taylor expansion of (/ 1 n) in l 1.779 * [taylor]: Taking taylor expansion of n in l 1.779 * [backup-simplify]: Simplify n into n 1.779 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.779 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 1.780 * [taylor]: Taking taylor expansion of (/ 1 M) in l 1.780 * [taylor]: Taking taylor expansion of M in l 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 l 1.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 1.780 * [taylor]: Taking taylor expansion of 1/2 in l 1.780 * [backup-simplify]: Simplify 1/2 into 1/2 1.780 * [taylor]: Taking taylor expansion of (/ 1 m) in l 1.780 * [taylor]: Taking taylor expansion of m in l 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 n)) in l 1.780 * [taylor]: Taking taylor expansion of 1/2 in l 1.780 * [backup-simplify]: Simplify 1/2 into 1/2 1.780 * [taylor]: Taking taylor expansion of (/ 1 n) in l 1.780 * [taylor]: Taking taylor expansion of n in l 1.780 * [backup-simplify]: Simplify n into n 1.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.780 * [taylor]: Taking taylor expansion of (/ -1 l) in l 1.780 * [taylor]: Taking taylor expansion of -1 in l 1.780 * [backup-simplify]: Simplify -1 into -1 1.780 * [taylor]: Taking taylor expansion of l in l 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 (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 1.780 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.780 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) 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 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.781 * [taylor]: Taking taylor expansion of 1/2 in M 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.781 * [taylor]: Taking taylor expansion of m in M 1.781 * [backup-simplify]: Simplify m into m 1.781 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.781 * [taylor]: Taking taylor expansion of 1/2 in M 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.781 * [taylor]: Taking taylor expansion of n in M 1.781 * [backup-simplify]: Simplify n into n 1.781 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.781 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.781 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.781 * [taylor]: Taking taylor expansion of M in M 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.781 * [taylor]: Taking taylor expansion of 1/2 in M 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.781 * [taylor]: Taking taylor expansion of m in M 1.781 * [backup-simplify]: Simplify m into m 1.781 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.781 * [taylor]: Taking taylor expansion of 1/2 in M 1.781 * [backup-simplify]: Simplify 1/2 into 1/2 1.781 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.781 * [taylor]: Taking taylor expansion of n in M 1.781 * [backup-simplify]: Simplify n into n 1.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.782 * [taylor]: Taking taylor expansion of (/ -1 l) in M 1.782 * [taylor]: Taking taylor expansion of -1 in M 1.782 * [backup-simplify]: Simplify -1 into -1 1.782 * [taylor]: Taking taylor expansion of l in M 1.782 * [backup-simplify]: Simplify l into l 1.782 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.782 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 1.782 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.782 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 1.782 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.782 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.782 * [taylor]: Taking taylor expansion of M in n 1.782 * [backup-simplify]: Simplify M into M 1.782 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.782 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.782 * [taylor]: Taking taylor expansion of 1/2 in n 1.782 * [backup-simplify]: Simplify 1/2 into 1/2 1.782 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.782 * [taylor]: Taking taylor expansion of m in n 1.782 * [backup-simplify]: Simplify m into m 1.782 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.782 * [taylor]: Taking taylor expansion of 1/2 in n 1.782 * [backup-simplify]: Simplify 1/2 into 1/2 1.782 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.782 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.782 * [taylor]: Taking taylor expansion of M in n 1.782 * [backup-simplify]: Simplify M into M 1.782 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.782 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.782 * [taylor]: Taking taylor expansion of 1/2 in n 1.782 * [backup-simplify]: Simplify 1/2 into 1/2 1.782 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.782 * [taylor]: Taking taylor expansion of m in n 1.782 * [backup-simplify]: Simplify m into m 1.783 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 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 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (/ -1 l) in n 1.783 * [taylor]: Taking taylor expansion of -1 in n 1.783 * [backup-simplify]: Simplify -1 into -1 1.783 * [taylor]: Taking taylor expansion of l in n 1.783 * [backup-simplify]: Simplify l into l 1.783 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.783 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 1.783 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.783 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 1.783 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.783 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.783 * [taylor]: Taking taylor expansion of M in m 1.783 * [backup-simplify]: Simplify M into M 1.783 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.783 * [taylor]: Taking taylor expansion of 1/2 in m 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.783 * [taylor]: Taking taylor expansion of m in m 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 (* 1/2 (/ 1 n)) in m 1.784 * [taylor]: Taking taylor expansion of 1/2 in m 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.784 * [taylor]: Taking taylor expansion of n in m 1.784 * [backup-simplify]: Simplify n into n 1.784 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.784 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.784 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.784 * [taylor]: Taking taylor expansion of M in m 1.784 * [backup-simplify]: Simplify M into M 1.784 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.784 * [taylor]: Taking taylor expansion of 1/2 in m 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.784 * [taylor]: Taking taylor expansion of m in m 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.784 * [taylor]: Taking taylor expansion of 1/2 in m 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.784 * [taylor]: Taking taylor expansion of n in m 1.784 * [backup-simplify]: Simplify n into n 1.784 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.784 * [taylor]: Taking taylor expansion of (/ -1 l) in m 1.784 * [taylor]: Taking taylor expansion of -1 in m 1.784 * [backup-simplify]: Simplify -1 into -1 1.784 * [taylor]: Taking taylor expansion of l in m 1.784 * [backup-simplify]: Simplify l into l 1.784 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.784 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 1.784 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.784 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 1.784 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.785 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.785 * [taylor]: Taking taylor expansion of M in m 1.785 * [backup-simplify]: Simplify M into M 1.785 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.785 * [taylor]: Taking taylor expansion of 1/2 in m 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.785 * [taylor]: Taking taylor expansion of m in m 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.785 * [taylor]: Taking taylor expansion of 1/2 in m 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.785 * [taylor]: Taking taylor expansion of n in m 1.785 * [backup-simplify]: Simplify n into n 1.785 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.785 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.785 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.785 * [taylor]: Taking taylor expansion of M in m 1.785 * [backup-simplify]: Simplify M into M 1.785 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.785 * [taylor]: Taking taylor expansion of 1/2 in m 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.785 * [taylor]: Taking taylor expansion of m in m 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.786 * [taylor]: Taking taylor expansion of 1/2 in m 1.786 * [backup-simplify]: Simplify 1/2 into 1/2 1.786 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.786 * [taylor]: Taking taylor expansion of n in m 1.786 * [backup-simplify]: Simplify n into n 1.786 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.786 * [taylor]: Taking taylor expansion of (/ -1 l) in m 1.786 * [taylor]: Taking taylor expansion of -1 in m 1.786 * [backup-simplify]: Simplify -1 into -1 1.786 * [taylor]: Taking taylor expansion of l in m 1.786 * [backup-simplify]: Simplify l into l 1.786 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.786 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.786 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.787 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.787 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.787 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.787 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.788 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.788 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.788 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.788 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.788 * [taylor]: Taking taylor expansion of 1/4 in n 1.788 * [backup-simplify]: Simplify 1/4 into 1/4 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.789 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.789 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.790 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.791 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.791 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.791 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.791 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.791 * [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)) 1.791 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.791 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.791 * [taylor]: Taking taylor expansion of 1/2 in n 1.791 * [backup-simplify]: Simplify 1/2 into 1/2 1.791 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.791 * [taylor]: Taking taylor expansion of n in n 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.791 * [taylor]: Taking taylor expansion of M in n 1.791 * [backup-simplify]: Simplify M into M 1.791 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.796 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.796 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [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))) 1.797 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 1.797 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.797 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.797 * [taylor]: Taking taylor expansion of M in n 1.797 * [backup-simplify]: Simplify M into M 1.797 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.797 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.797 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.797 * [taylor]: Taking taylor expansion of 1/4 in n 1.797 * [backup-simplify]: Simplify 1/4 into 1/4 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.797 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.797 * [taylor]: Taking taylor expansion of n in n 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.798 * [backup-simplify]: Simplify (* 1 1) into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 1.798 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.798 * [taylor]: Taking taylor expansion of (* M n) in n 1.798 * [taylor]: Taking taylor expansion of M in n 1.798 * [backup-simplify]: Simplify M into M 1.798 * [taylor]: Taking taylor expansion of n in n 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [backup-simplify]: Simplify (* M 0) into 0 1.798 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.798 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.798 * [taylor]: Taking taylor expansion of (/ 1 l) in n 1.798 * [taylor]: Taking taylor expansion of l in n 1.798 * [backup-simplify]: Simplify l into l 1.799 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.799 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.799 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.799 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.799 * [taylor]: Taking taylor expansion of 1/4 in M 1.799 * [backup-simplify]: Simplify 1/4 into 1/4 1.800 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.800 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.800 * [taylor]: Taking taylor expansion of 1/2 in M 1.800 * [backup-simplify]: Simplify 1/2 into 1/2 1.800 * [taylor]: Taking taylor expansion of 1/4 in M 1.800 * [backup-simplify]: Simplify 1/4 into 1/4 1.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 0) into 0 1.804 * [backup-simplify]: Simplify (- 0) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify (- 0) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [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 1.810 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [taylor]: Taking taylor expansion of 0 in n 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.813 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.814 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.814 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.814 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.814 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.814 * [taylor]: Taking taylor expansion of M in M 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.816 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.816 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.816 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.816 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.816 * [taylor]: Taking taylor expansion of M in M 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of 0 in M 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.826 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (- 0) into 0 1.827 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [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 1.829 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [taylor]: Taking taylor expansion of 0 in n 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.833 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 1.833 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 1.833 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 1.833 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.834 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.834 * [taylor]: Taking taylor expansion of M in M 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (* 1 1) into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [taylor]: Taking taylor expansion of (/ 1 l) in M 1.834 * [taylor]: Taking taylor expansion of l in M 1.834 * [backup-simplify]: Simplify l into l 1.835 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.835 * [backup-simplify]: Simplify (+ 1 0) into 1 1.835 * [taylor]: Taking taylor expansion of 1 in l 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [taylor]: Taking taylor expansion of 0 in M 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [taylor]: Taking taylor expansion of 0 in M 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify (- 1) into -1 1.838 * [taylor]: Taking taylor expansion of -1 in l 1.838 * [backup-simplify]: Simplify -1 into -1 1.839 * [backup-simplify]: Simplify (- 1) into -1 1.839 * [taylor]: Taking taylor expansion of -1 in l 1.839 * [backup-simplify]: Simplify -1 into -1 1.839 * [taylor]: Taking taylor expansion of 1/4 in l 1.839 * [backup-simplify]: Simplify 1/4 into 1/4 1.839 * [taylor]: Taking taylor expansion of 1/2 in l 1.839 * [backup-simplify]: Simplify 1/2 into 1/2 1.839 * [taylor]: Taking taylor expansion of 1/4 in l 1.839 * [backup-simplify]: Simplify 1/4 into 1/4 1.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 1.854 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [taylor]: Taking taylor expansion of 0 in n 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [taylor]: Taking taylor expansion of 0 in M 1.854 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 1.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in M 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.865 * [taylor]: Taking taylor expansion of 0 in M 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [taylor]: Taking taylor expansion of 0 in M 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [taylor]: Taking taylor expansion of 0 in l 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (- 0) into 0 1.868 * [taylor]: Taking taylor expansion of 0 in l 1.868 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [taylor]: Taking taylor expansion of 0 in l 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [taylor]: Taking taylor expansion of 0 in l 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [taylor]: Taking taylor expansion of 0 in l 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [taylor]: Taking taylor expansion of 0 in l 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [taylor]: Taking taylor expansion of 0 in l 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify -1 into -1 1.870 * [backup-simplify]: Simplify -1 into -1 1.872 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.872 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.872 * [backup-simplify]: Simplify (- (* K (/ (+ m n) 2)) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.872 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (K m n M) around 0 1.872 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.872 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.872 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.872 * [taylor]: Taking taylor expansion of 1/2 in M 1.872 * [backup-simplify]: Simplify 1/2 into 1/2 1.872 * [taylor]: Taking taylor expansion of (* K n) in M 1.872 * [taylor]: Taking taylor expansion of K in M 1.872 * [backup-simplify]: Simplify K into K 1.872 * [taylor]: Taking taylor expansion of n in M 1.872 * [backup-simplify]: Simplify n into n 1.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.873 * [taylor]: Taking taylor expansion of 1/2 in M 1.873 * [backup-simplify]: Simplify 1/2 into 1/2 1.873 * [taylor]: Taking taylor expansion of (* K m) in M 1.873 * [taylor]: Taking taylor expansion of K in M 1.873 * [backup-simplify]: Simplify K into K 1.873 * [taylor]: Taking taylor expansion of m in M 1.873 * [backup-simplify]: Simplify m into m 1.873 * [taylor]: Taking taylor expansion of M in M 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.873 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.873 * [taylor]: Taking taylor expansion of 1/2 in n 1.873 * [backup-simplify]: Simplify 1/2 into 1/2 1.873 * [taylor]: Taking taylor expansion of (* K n) in n 1.873 * [taylor]: Taking taylor expansion of K in n 1.873 * [backup-simplify]: Simplify K into K 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.874 * [taylor]: Taking taylor expansion of 1/2 in n 1.874 * [backup-simplify]: Simplify 1/2 into 1/2 1.874 * [taylor]: Taking taylor expansion of (* K m) in n 1.874 * [taylor]: Taking taylor expansion of K in n 1.874 * [backup-simplify]: Simplify K into K 1.874 * [taylor]: Taking taylor expansion of m in n 1.874 * [backup-simplify]: Simplify m into m 1.874 * [taylor]: Taking taylor expansion of M in n 1.874 * [backup-simplify]: Simplify M into M 1.874 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.874 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.874 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.874 * [taylor]: Taking taylor expansion of 1/2 in m 1.874 * [backup-simplify]: Simplify 1/2 into 1/2 1.874 * [taylor]: Taking taylor expansion of (* K n) in m 1.874 * [taylor]: Taking taylor expansion of K in m 1.874 * [backup-simplify]: Simplify K into K 1.874 * [taylor]: Taking taylor expansion of n in m 1.874 * [backup-simplify]: Simplify n into n 1.874 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.874 * [taylor]: Taking taylor expansion of 1/2 in m 1.874 * [backup-simplify]: Simplify 1/2 into 1/2 1.874 * [taylor]: Taking taylor expansion of (* K m) in m 1.874 * [taylor]: Taking taylor expansion of K in m 1.874 * [backup-simplify]: Simplify K into K 1.874 * [taylor]: Taking taylor expansion of m in m 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of M in m 1.874 * [backup-simplify]: Simplify M into M 1.874 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.874 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.874 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.874 * [taylor]: Taking taylor expansion of 1/2 in K 1.874 * [backup-simplify]: Simplify 1/2 into 1/2 1.874 * [taylor]: Taking taylor expansion of (* K n) in K 1.874 * [taylor]: Taking taylor expansion of K in K 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of n in K 1.875 * [backup-simplify]: Simplify n into n 1.875 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.875 * [taylor]: Taking taylor expansion of 1/2 in K 1.875 * [backup-simplify]: Simplify 1/2 into 1/2 1.875 * [taylor]: Taking taylor expansion of (* K m) in K 1.875 * [taylor]: Taking taylor expansion of K in K 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of m in K 1.875 * [backup-simplify]: Simplify m into m 1.875 * [taylor]: Taking taylor expansion of M in K 1.875 * [backup-simplify]: Simplify M into M 1.875 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.875 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.875 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.875 * [taylor]: Taking taylor expansion of 1/2 in K 1.875 * [backup-simplify]: Simplify 1/2 into 1/2 1.875 * [taylor]: Taking taylor expansion of (* K n) in K 1.875 * [taylor]: Taking taylor expansion of K in K 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of n in K 1.875 * [backup-simplify]: Simplify n into n 1.875 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.875 * [taylor]: Taking taylor expansion of 1/2 in K 1.875 * [backup-simplify]: Simplify 1/2 into 1/2 1.875 * [taylor]: Taking taylor expansion of (* K m) in K 1.875 * [taylor]: Taking taylor expansion of K in K 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [taylor]: Taking taylor expansion of m in K 1.875 * [backup-simplify]: Simplify m into m 1.875 * [taylor]: Taking taylor expansion of M in K 1.875 * [backup-simplify]: Simplify M into M 1.876 * [backup-simplify]: Simplify (* 0 n) into 0 1.876 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.876 * [backup-simplify]: Simplify (* 0 m) into 0 1.877 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (- M) into (- M) 1.877 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.877 * [taylor]: Taking taylor expansion of (- M) in m 1.877 * [taylor]: Taking taylor expansion of M in m 1.877 * [backup-simplify]: Simplify M into M 1.877 * [backup-simplify]: Simplify (- M) into (- M) 1.878 * [taylor]: Taking taylor expansion of (- M) in n 1.878 * [taylor]: Taking taylor expansion of M in n 1.878 * [backup-simplify]: Simplify M into M 1.878 * [backup-simplify]: Simplify (- M) into (- M) 1.878 * [taylor]: Taking taylor expansion of (- 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 1.878 * [backup-simplify]: Simplify (- 0) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.879 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 1.879 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 1.882 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 1.882 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.883 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.883 * [taylor]: Taking taylor expansion of (* 1/2 m) 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 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 (* 1/2 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 n in m 1.883 * [backup-simplify]: Simplify n into n 1.884 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.884 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.884 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.884 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.884 * [taylor]: Taking taylor expansion of 1/2 in n 1.884 * [backup-simplify]: Simplify 1/2 into 1/2 1.884 * [taylor]: Taking taylor expansion of n in n 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.885 * [taylor]: Taking taylor expansion of 0 in M 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- 0) into 0 1.885 * [taylor]: Taking taylor expansion of 0 in n 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [taylor]: Taking taylor expansion of 0 in M 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (- 0) into 0 1.886 * [taylor]: Taking taylor expansion of 0 in M 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (- 1) into -1 1.886 * [backup-simplify]: Simplify -1 into -1 1.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 1.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (- 0) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in m 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in n 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [taylor]: Taking taylor expansion of 0 in M 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.893 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.893 * [taylor]: Taking taylor expansion of 1/2 in n 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [taylor]: Taking taylor expansion of 1/2 in M 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [backup-simplify]: Simplify (- 0) into 0 1.893 * [taylor]: Taking taylor expansion of 0 in n 1.894 * [backup-simplify]: Simplify 0 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 into 0 1.895 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.895 * [taylor]: Taking taylor expansion of 1/2 in M 1.895 * [backup-simplify]: Simplify 1/2 into 1/2 1.895 * [backup-simplify]: Simplify 1/2 into 1/2 1.895 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.896 * [backup-simplify]: Simplify (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 1.896 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (K m n M) around 0 1.896 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.896 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.896 * [taylor]: Taking taylor expansion of 1/2 in M 1.896 * [backup-simplify]: Simplify 1/2 into 1/2 1.896 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.896 * [taylor]: Taking taylor expansion of (* m K) in M 1.896 * [taylor]: Taking taylor expansion of m in M 1.896 * [backup-simplify]: Simplify m into m 1.896 * [taylor]: Taking taylor expansion of K in M 1.896 * [backup-simplify]: Simplify K into K 1.896 * [backup-simplify]: Simplify (* m K) into (* m K) 1.896 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.896 * [taylor]: Taking taylor expansion of 1/2 in M 1.896 * [backup-simplify]: Simplify 1/2 into 1/2 1.897 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.897 * [taylor]: Taking taylor expansion of (* K n) in M 1.897 * [taylor]: Taking taylor expansion of K in M 1.897 * [backup-simplify]: Simplify K into K 1.897 * [taylor]: Taking taylor expansion of n in M 1.897 * [backup-simplify]: Simplify n into n 1.897 * [backup-simplify]: Simplify (* K n) into (* K n) 1.897 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.897 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.897 * [taylor]: Taking taylor expansion of M in M 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.897 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.897 * [taylor]: Taking taylor expansion of 1/2 in n 1.897 * [backup-simplify]: Simplify 1/2 into 1/2 1.897 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.898 * [taylor]: Taking taylor expansion of (* m K) in n 1.898 * [taylor]: Taking taylor expansion of m in n 1.898 * [backup-simplify]: Simplify m into m 1.898 * [taylor]: Taking taylor expansion of K in n 1.898 * [backup-simplify]: Simplify K into K 1.898 * [backup-simplify]: Simplify (* m K) into (* m K) 1.898 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.898 * [taylor]: Taking taylor expansion of 1/2 in n 1.898 * [backup-simplify]: Simplify 1/2 into 1/2 1.898 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.898 * [taylor]: Taking taylor expansion of (* K n) in n 1.898 * [taylor]: Taking taylor expansion of K in n 1.898 * [backup-simplify]: Simplify K into K 1.898 * [taylor]: Taking taylor expansion of n in n 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (* K 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.899 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.899 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.899 * [taylor]: Taking taylor expansion of M in n 1.899 * [backup-simplify]: Simplify M into M 1.899 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.899 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.899 * [taylor]: Taking taylor expansion of 1/2 in m 1.899 * [backup-simplify]: Simplify 1/2 into 1/2 1.899 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.899 * [taylor]: Taking taylor expansion of (* m K) in m 1.899 * [taylor]: Taking taylor expansion of m in m 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [taylor]: Taking taylor expansion of K in m 1.899 * [backup-simplify]: Simplify K into K 1.899 * [backup-simplify]: Simplify (* 0 K) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.900 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.900 * [taylor]: Taking taylor expansion of 1/2 in m 1.900 * [backup-simplify]: Simplify 1/2 into 1/2 1.900 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.900 * [taylor]: Taking taylor expansion of (* K n) in m 1.900 * [taylor]: Taking taylor expansion of K in m 1.900 * [backup-simplify]: Simplify K into K 1.900 * [taylor]: Taking taylor expansion of n in m 1.900 * [backup-simplify]: Simplify n into n 1.900 * [backup-simplify]: Simplify (* K n) into (* K n) 1.900 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 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 M into M 1.900 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.900 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.900 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.900 * [taylor]: Taking taylor expansion of 1/2 in K 1.900 * [backup-simplify]: Simplify 1/2 into 1/2 1.900 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.900 * [taylor]: Taking taylor expansion of (* m K) in K 1.900 * [taylor]: Taking taylor expansion of m in K 1.900 * [backup-simplify]: Simplify m into m 1.900 * [taylor]: Taking taylor expansion of K in K 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (* m 0) into 0 1.901 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.901 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.901 * [taylor]: Taking taylor expansion of 1/2 in K 1.901 * [backup-simplify]: Simplify 1/2 into 1/2 1.901 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.901 * [taylor]: Taking taylor expansion of (* K n) in K 1.901 * [taylor]: Taking taylor expansion of K in K 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of n in K 1.901 * [backup-simplify]: Simplify n into n 1.901 * [backup-simplify]: Simplify (* 0 n) into 0 1.902 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.902 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.902 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.902 * [taylor]: Taking taylor expansion of M in K 1.902 * [backup-simplify]: Simplify M into M 1.902 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.902 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.902 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.902 * [taylor]: Taking taylor expansion of 1/2 in K 1.902 * [backup-simplify]: Simplify 1/2 into 1/2 1.902 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.902 * [taylor]: Taking taylor expansion of (* m K) in K 1.902 * [taylor]: Taking taylor expansion of m in K 1.902 * [backup-simplify]: Simplify m into m 1.902 * [taylor]: Taking taylor expansion of K in K 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (* m 0) into 0 1.903 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.903 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.903 * [taylor]: Taking taylor expansion of 1/2 in K 1.903 * [backup-simplify]: Simplify 1/2 into 1/2 1.903 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.903 * [taylor]: Taking taylor expansion of (* K n) in K 1.903 * [taylor]: Taking taylor expansion of K in K 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [taylor]: Taking taylor expansion of n in K 1.903 * [backup-simplify]: Simplify n into n 1.903 * [backup-simplify]: Simplify (* 0 n) into 0 1.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.904 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.904 * [taylor]: Taking taylor expansion of M in K 1.904 * [backup-simplify]: Simplify M into M 1.904 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.904 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.904 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.904 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.904 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.904 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.904 * [taylor]: Taking taylor expansion of 1/2 in m 1.904 * [backup-simplify]: Simplify 1/2 into 1/2 1.904 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.904 * [taylor]: Taking taylor expansion of m in m 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.905 * [taylor]: Taking taylor expansion of 1/2 in m 1.905 * [backup-simplify]: Simplify 1/2 into 1/2 1.905 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.905 * [taylor]: Taking taylor expansion of n in m 1.905 * [backup-simplify]: Simplify n into n 1.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.906 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.906 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.906 * [taylor]: Taking taylor expansion of 1/2 in n 1.906 * [backup-simplify]: Simplify 1/2 into 1/2 1.907 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 1.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.910 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.910 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in m 1.910 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.910 * [taylor]: Taking taylor expansion of M in m 1.910 * [backup-simplify]: Simplify M into M 1.910 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.911 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.911 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.912 * [taylor]: Taking taylor expansion of 1/2 in n 1.912 * [backup-simplify]: Simplify 1/2 into 1/2 1.912 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.912 * [taylor]: Taking taylor expansion of n in n 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.913 * [taylor]: Taking taylor expansion of 1/2 in M 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.913 * [taylor]: Taking taylor expansion of 1/2 in M 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.914 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.918 * [backup-simplify]: Simplify (- 0) into 0 1.918 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [taylor]: Taking taylor expansion of 0 in m 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.918 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in n 1.918 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.918 * [taylor]: Taking taylor expansion of M in n 1.918 * [backup-simplify]: Simplify M into M 1.918 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in n 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.923 * [taylor]: Taking taylor expansion of 0 in M 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [taylor]: Taking taylor expansion of 0 in M 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1/2 into 1/2 1.923 * [backup-simplify]: Simplify 1/2 into 1/2 1.924 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [taylor]: Taking taylor expansion of 0 in m 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [taylor]: Taking taylor expansion of 0 in n 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.931 * [taylor]: Taking taylor expansion of 0 in n 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [taylor]: Taking taylor expansion of 0 in n 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.934 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.934 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.934 * [taylor]: Taking taylor expansion of M in M 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [backup-simplify]: Simplify (- 1) into -1 1.934 * [backup-simplify]: Simplify -1 into -1 1.935 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.935 * [backup-simplify]: Simplify (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 1.935 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (K m n M) around 0 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.935 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.935 * [taylor]: Taking taylor expansion of M in M 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.936 * [taylor]: Taking taylor expansion of 1/2 in M 1.936 * [backup-simplify]: Simplify 1/2 into 1/2 1.936 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.936 * [taylor]: Taking taylor expansion of (* m K) in M 1.936 * [taylor]: Taking taylor expansion of m in M 1.936 * [backup-simplify]: Simplify m into m 1.936 * [taylor]: Taking taylor expansion of K in M 1.936 * [backup-simplify]: Simplify K into K 1.936 * [backup-simplify]: Simplify (* m K) into (* m K) 1.936 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.936 * [taylor]: Taking taylor expansion of 1/2 in M 1.936 * [backup-simplify]: Simplify 1/2 into 1/2 1.936 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.936 * [taylor]: Taking taylor expansion of (* K n) in M 1.936 * [taylor]: Taking taylor expansion of K in M 1.936 * [backup-simplify]: Simplify K into K 1.936 * [taylor]: Taking taylor expansion of n in M 1.936 * [backup-simplify]: Simplify n into n 1.936 * [backup-simplify]: Simplify (* K n) into (* K n) 1.936 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.936 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.936 * [taylor]: Taking taylor expansion of M in n 1.936 * [backup-simplify]: Simplify M into M 1.936 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.936 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.936 * [taylor]: Taking taylor expansion of 1/2 in n 1.936 * [backup-simplify]: Simplify 1/2 into 1/2 1.936 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.936 * [taylor]: Taking taylor expansion of (* m K) in n 1.936 * [taylor]: Taking taylor expansion of m in n 1.936 * [backup-simplify]: Simplify m into m 1.936 * [taylor]: Taking taylor expansion of K in n 1.936 * [backup-simplify]: Simplify K into K 1.936 * [backup-simplify]: Simplify (* m K) into (* m K) 1.936 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.936 * [taylor]: Taking taylor expansion of 1/2 in n 1.936 * [backup-simplify]: Simplify 1/2 into 1/2 1.936 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.936 * [taylor]: Taking taylor expansion of (* K n) in n 1.936 * [taylor]: Taking taylor expansion of K in n 1.936 * [backup-simplify]: Simplify K into K 1.936 * [taylor]: Taking taylor expansion of n in n 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* K 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.937 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.937 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.937 * [taylor]: Taking taylor expansion of M in m 1.937 * [backup-simplify]: Simplify M into M 1.937 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.937 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.937 * [taylor]: Taking taylor expansion of 1/2 in m 1.937 * [backup-simplify]: Simplify 1/2 into 1/2 1.937 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.937 * [taylor]: Taking taylor expansion of (* m K) in m 1.937 * [taylor]: Taking taylor expansion of m in m 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [taylor]: Taking taylor expansion of K in m 1.937 * [backup-simplify]: Simplify K into K 1.937 * [backup-simplify]: Simplify (* 0 K) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.937 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.937 * [taylor]: Taking taylor expansion of 1/2 in m 1.937 * [backup-simplify]: Simplify 1/2 into 1/2 1.937 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.937 * [taylor]: Taking taylor expansion of (* K n) in m 1.937 * [taylor]: Taking taylor expansion of K in m 1.937 * [backup-simplify]: Simplify K into K 1.937 * [taylor]: Taking taylor expansion of n in m 1.937 * [backup-simplify]: Simplify n into n 1.937 * [backup-simplify]: Simplify (* K n) into (* K n) 1.938 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.938 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.938 * [taylor]: Taking taylor expansion of M in K 1.938 * [backup-simplify]: Simplify M into M 1.938 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.938 * [taylor]: Taking taylor expansion of 1/2 in K 1.938 * [backup-simplify]: Simplify 1/2 into 1/2 1.938 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.938 * [taylor]: Taking taylor expansion of (* m K) in K 1.938 * [taylor]: Taking taylor expansion of m in K 1.938 * [backup-simplify]: Simplify m into m 1.938 * [taylor]: Taking taylor expansion of K in K 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (* m 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.938 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.938 * [taylor]: Taking taylor expansion of 1/2 in K 1.938 * [backup-simplify]: Simplify 1/2 into 1/2 1.938 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.938 * [taylor]: Taking taylor expansion of (* K n) in K 1.938 * [taylor]: Taking taylor expansion of K in K 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of n in K 1.938 * [backup-simplify]: Simplify n into n 1.938 * [backup-simplify]: Simplify (* 0 n) into 0 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.939 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.939 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.939 * [taylor]: Taking taylor expansion of M in K 1.939 * [backup-simplify]: Simplify M into M 1.939 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.939 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.939 * [taylor]: Taking taylor expansion of 1/2 in K 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.939 * [taylor]: Taking taylor expansion of (* m K) in K 1.939 * [taylor]: Taking taylor expansion of m in K 1.939 * [backup-simplify]: Simplify m into m 1.939 * [taylor]: Taking taylor expansion of K in K 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* m 0) into 0 1.939 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.939 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.939 * [taylor]: Taking taylor expansion of 1/2 in K 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.939 * [taylor]: Taking taylor expansion of (* K n) in K 1.939 * [taylor]: Taking taylor expansion of K in K 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of n in K 1.939 * [backup-simplify]: Simplify n into n 1.939 * [backup-simplify]: Simplify (* 0 n) into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.940 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.940 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.940 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.940 * [taylor]: Taking taylor expansion of 1/2 in m 1.940 * [backup-simplify]: Simplify 1/2 into 1/2 1.940 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.940 * [taylor]: Taking taylor expansion of m in m 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.941 * [taylor]: Taking taylor expansion of 1/2 in m 1.941 * [backup-simplify]: Simplify 1/2 into 1/2 1.941 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.941 * [taylor]: Taking taylor expansion of n in m 1.941 * [backup-simplify]: Simplify n into n 1.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.941 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.941 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.941 * [taylor]: Taking taylor expansion of 1/2 in n 1.941 * [backup-simplify]: Simplify 1/2 into 1/2 1.942 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.943 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.943 * [taylor]: Taking taylor expansion of M in m 1.943 * [backup-simplify]: Simplify M into M 1.943 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.944 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.945 * [taylor]: Taking taylor expansion of 1/2 in n 1.945 * [backup-simplify]: Simplify 1/2 into 1/2 1.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.945 * [taylor]: Taking taylor expansion of n in n 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.945 * [taylor]: Taking taylor expansion of 1/2 in M 1.945 * [backup-simplify]: Simplify 1/2 into 1/2 1.945 * [taylor]: Taking taylor expansion of 1/2 in M 1.945 * [backup-simplify]: Simplify 1/2 into 1/2 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [taylor]: Taking taylor expansion of 0 in m 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.948 * [taylor]: Taking taylor expansion of M in n 1.948 * [backup-simplify]: Simplify M into M 1.948 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in n 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.951 * [taylor]: Taking taylor expansion of 0 in M 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [taylor]: Taking taylor expansion of 0 in M 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [backup-simplify]: Simplify 1/2 into 1/2 1.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 1.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in m 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [taylor]: Taking taylor expansion of 0 in n 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in n 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [taylor]: Taking taylor expansion of 0 in n 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.957 * [taylor]: Taking taylor expansion of M in M 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.958 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.958 * [backup-simplify]: Simplify (* K (/ (+ m n) 2)) into (* 1/2 (* K (+ m n))) 1.958 * [approximate]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in (K m n) around 0 1.958 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in n 1.959 * [taylor]: Taking taylor expansion of 1/2 in n 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.959 * [taylor]: Taking taylor expansion of K in n 1.959 * [backup-simplify]: Simplify K into K 1.959 * [taylor]: Taking taylor expansion of (+ m n) in n 1.959 * [taylor]: Taking taylor expansion of m in n 1.959 * [backup-simplify]: Simplify m into m 1.959 * [taylor]: Taking taylor expansion of n in n 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in m 1.959 * [taylor]: Taking taylor expansion of 1/2 in m 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.959 * [taylor]: Taking taylor expansion of K in m 1.959 * [backup-simplify]: Simplify K into K 1.959 * [taylor]: Taking taylor expansion of (+ m n) in m 1.959 * [taylor]: Taking taylor expansion of m in m 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [taylor]: Taking taylor expansion of n in m 1.959 * [backup-simplify]: Simplify n into n 1.959 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 1.959 * [taylor]: Taking taylor expansion of 1/2 in K 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.959 * [taylor]: Taking taylor expansion of K in K 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [taylor]: Taking taylor expansion of (+ m n) in K 1.959 * [taylor]: Taking taylor expansion of m in K 1.959 * [backup-simplify]: Simplify m into m 1.959 * [taylor]: Taking taylor expansion of n in K 1.959 * [backup-simplify]: Simplify n into n 1.959 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 1.959 * [taylor]: Taking taylor expansion of 1/2 in K 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.959 * [taylor]: Taking taylor expansion of K in K 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [taylor]: Taking taylor expansion of (+ m n) in K 1.959 * [taylor]: Taking taylor expansion of m in K 1.959 * [backup-simplify]: Simplify m into m 1.959 * [taylor]: Taking taylor expansion of n in K 1.959 * [backup-simplify]: Simplify n into n 1.959 * [backup-simplify]: Simplify (+ m n) into (+ m n) 1.959 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 1.960 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in m 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [taylor]: Taking taylor expansion of 0 in n 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 1.961 * [backup-simplify]: Simplify (+ (* 1/2 (+ m n)) (* 0 0)) into (+ (* 1/2 m) (* 1/2 n)) 1.961 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.961 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.961 * [taylor]: Taking taylor expansion of 1/2 in m 1.961 * [backup-simplify]: Simplify 1/2 into 1/2 1.961 * [taylor]: Taking taylor expansion of m in m 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.961 * [taylor]: Taking taylor expansion of 1/2 in m 1.961 * [backup-simplify]: Simplify 1/2 into 1/2 1.961 * [taylor]: Taking taylor expansion of n in m 1.961 * [backup-simplify]: Simplify n into n 1.962 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.962 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.962 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.962 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.962 * [taylor]: Taking taylor expansion of 1/2 in n 1.962 * [backup-simplify]: Simplify 1/2 into 1/2 1.962 * [taylor]: Taking taylor expansion of n in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [taylor]: Taking taylor expansion of 0 in n 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (+ m n)) (* 0 0))) into 0 1.965 * [taylor]: Taking taylor expansion of 0 in m 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [taylor]: Taking taylor expansion of 0 in n 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.966 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.966 * [taylor]: Taking taylor expansion of 1/2 in n 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of 0 in n 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.967 * [backup-simplify]: Simplify 1/2 into 1/2 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ m n)) (* 0 0)))) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in m 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [taylor]: Taking taylor expansion of 0 in n 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [taylor]: Taking taylor expansion of 0 in n 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [taylor]: Taking taylor expansion of 0 in n 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [taylor]: Taking taylor expansion of 0 in n 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 1.974 * [backup-simplify]: Simplify (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 1.974 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 1.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 1.974 * [taylor]: Taking taylor expansion of 1/2 in n 1.974 * [backup-simplify]: Simplify 1/2 into 1/2 1.974 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.974 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.974 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.974 * [taylor]: Taking taylor expansion of m in n 1.974 * [backup-simplify]: Simplify m into m 1.974 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.974 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.974 * [taylor]: Taking taylor expansion of n in n 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [taylor]: Taking taylor expansion of K in n 1.974 * [backup-simplify]: Simplify K into K 1.975 * [backup-simplify]: Simplify (+ 0 1) into 1 1.975 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 1.975 * [taylor]: Taking taylor expansion of 1/2 in m 1.975 * [backup-simplify]: Simplify 1/2 into 1/2 1.975 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.975 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.975 * [taylor]: Taking taylor expansion of m in m 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.976 * [taylor]: Taking taylor expansion of n in m 1.976 * [backup-simplify]: Simplify n into n 1.976 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.976 * [taylor]: Taking taylor expansion of K in m 1.976 * [backup-simplify]: Simplify K into K 1.976 * [backup-simplify]: Simplify (+ 1 0) into 1 1.976 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.976 * [taylor]: Taking taylor expansion of 1/2 in K 1.976 * [backup-simplify]: Simplify 1/2 into 1/2 1.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.976 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.976 * [taylor]: Taking taylor expansion of m in K 1.976 * [backup-simplify]: Simplify m into m 1.977 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.977 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.977 * [taylor]: Taking taylor expansion of n in K 1.977 * [backup-simplify]: Simplify n into n 1.977 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.977 * [taylor]: Taking taylor expansion of K in K 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.977 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 1.977 * [taylor]: Taking taylor expansion of 1/2 in K 1.977 * [backup-simplify]: Simplify 1/2 into 1/2 1.977 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.977 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.977 * [taylor]: Taking taylor expansion of m in K 1.977 * [backup-simplify]: Simplify m into m 1.977 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.977 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.977 * [taylor]: Taking taylor expansion of n in K 1.977 * [backup-simplify]: Simplify n into n 1.977 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.977 * [taylor]: Taking taylor expansion of K in K 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.978 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.978 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 1.978 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 1.978 * [taylor]: Taking taylor expansion of 1/2 in m 1.978 * [backup-simplify]: Simplify 1/2 into 1/2 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.978 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.978 * [taylor]: Taking taylor expansion of m in m 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.979 * [taylor]: Taking taylor expansion of n in m 1.979 * [backup-simplify]: Simplify n into n 1.979 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.979 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.979 * [taylor]: Taking taylor expansion of 1/2 in n 1.980 * [backup-simplify]: Simplify 1/2 into 1/2 1.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 1.982 * [taylor]: Taking taylor expansion of 0 in m 1.982 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.983 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 1.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.983 * [taylor]: Taking taylor expansion of 1/2 in n 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.984 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.984 * [taylor]: Taking taylor expansion of n in n 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 1.988 * [taylor]: Taking taylor expansion of 0 in m 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [taylor]: Taking taylor expansion of 0 in n 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 1.990 * [taylor]: Taking taylor expansion of 0 in n 1.990 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 1.996 * [taylor]: Taking taylor expansion of 0 in m 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [taylor]: Taking taylor expansion of 0 in n 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [taylor]: Taking taylor expansion of 0 in n 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 1.998 * [taylor]: Taking taylor expansion of 0 in n 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 1.999 * [backup-simplify]: Simplify (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 1.999 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 2.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 2.000 * [taylor]: Taking taylor expansion of 1/2 in n 2.000 * [backup-simplify]: Simplify 1/2 into 1/2 2.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 2.000 * [taylor]: Taking taylor expansion of (/ 1 m) in n 2.000 * [taylor]: Taking taylor expansion of m in n 2.000 * [backup-simplify]: Simplify m into m 2.000 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 2.000 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.000 * [taylor]: Taking taylor expansion of n in n 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [taylor]: Taking taylor expansion of K in n 2.000 * [backup-simplify]: Simplify K into K 2.000 * [backup-simplify]: Simplify (+ 0 1) into 1 2.000 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 2.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 2.000 * [taylor]: Taking taylor expansion of 1/2 in m 2.000 * [backup-simplify]: Simplify 1/2 into 1/2 2.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 2.000 * [taylor]: Taking taylor expansion of (/ 1 m) in m 2.000 * [taylor]: Taking taylor expansion of m in m 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 n) in m 2.001 * [taylor]: Taking taylor expansion of n in m 2.001 * [backup-simplify]: Simplify n into n 2.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.001 * [taylor]: Taking taylor expansion of K in m 2.001 * [backup-simplify]: Simplify K into K 2.001 * [backup-simplify]: Simplify (+ 1 0) into 1 2.001 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 2.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 2.001 * [taylor]: Taking taylor expansion of 1/2 in K 2.001 * [backup-simplify]: Simplify 1/2 into 1/2 2.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 2.001 * [taylor]: Taking taylor expansion of (/ 1 m) in K 2.001 * [taylor]: Taking taylor expansion of m in K 2.001 * [backup-simplify]: Simplify m into m 2.001 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 2.001 * [taylor]: Taking taylor expansion of (/ 1 n) in K 2.001 * [taylor]: Taking taylor expansion of n in K 2.001 * [backup-simplify]: Simplify n into n 2.001 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.001 * [taylor]: Taking taylor expansion of K in K 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 2.002 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 2.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 2.002 * [taylor]: Taking taylor expansion of 1/2 in K 2.002 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 2.002 * [taylor]: Taking taylor expansion of (/ 1 m) in K 2.002 * [taylor]: Taking taylor expansion of m in K 2.002 * [backup-simplify]: Simplify m into m 2.002 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 2.002 * [taylor]: Taking taylor expansion of (/ 1 n) in K 2.002 * [taylor]: Taking taylor expansion of n in K 2.002 * [backup-simplify]: Simplify n into n 2.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.002 * [taylor]: Taking taylor expansion of K in K 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 2.002 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 2.002 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 2.002 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 2.002 * [taylor]: Taking taylor expansion of 1/2 in m 2.002 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 2.002 * [taylor]: Taking taylor expansion of (/ 1 m) in m 2.002 * [taylor]: Taking taylor expansion of m in m 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ 1 1) into 1 2.002 * [taylor]: Taking taylor expansion of (/ 1 n) in m 2.002 * [taylor]: Taking taylor expansion of n in m 2.003 * [backup-simplify]: Simplify n into n 2.003 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.003 * [backup-simplify]: Simplify (+ 1 0) into 1 2.003 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.003 * [taylor]: Taking taylor expansion of 1/2 in n 2.003 * [backup-simplify]: Simplify 1/2 into 1/2 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 2.004 * [taylor]: Taking taylor expansion of 0 in m 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 2.005 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 2.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 2.005 * [taylor]: Taking taylor expansion of 1/2 in n 2.005 * [backup-simplify]: Simplify 1/2 into 1/2 2.005 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.005 * [taylor]: Taking taylor expansion of n in n 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.006 * [backup-simplify]: Simplify 1/2 into 1/2 2.006 * [backup-simplify]: Simplify 1/2 into 1/2 2.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 2.010 * [taylor]: Taking taylor expansion of 0 in m 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [taylor]: Taking taylor expansion of 0 in n 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 2.011 * [taylor]: Taking taylor expansion of 0 in n 2.011 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 2.015 * [taylor]: Taking taylor expansion of 0 in m 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [taylor]: Taking taylor expansion of 0 in n 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [taylor]: Taking taylor expansion of 0 in n 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 2.016 * [taylor]: Taking taylor expansion of 0 in n 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 2.018 * * * [progress]: simplifying candidates 2.018 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 2.018 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 16 / 96 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 2.019 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 18 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 27 / 96 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (cos (- (* K (/ (+ m n) 2)) M))))> 2.019 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 2.019 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 44 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 46 / 96 ] simplifiying candidate #real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))> 2.020 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 2.020 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 64 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 66 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 76 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 83 / 96 ] simplifiying candidate #real (real->posit16 (* K (/ (+ m n) 2)))) M))))> 2.021 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 87 / 96 ] simplifiying candidate # 2.021 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 90 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 2.022 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 2.023 * [simplify]: Simplifying (expm1 (cos (- (* K (/ (+ m n) 2)) M))), (log1p (cos (- (* K (/ (+ m n) 2)) M))), (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))), (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))), (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))), (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))), (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))), (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))), (* (cos (* K (/ (+ m n) 2))) (cos (- M))), (* (sin (* K (/ (+ m n) 2))) (sin (- M))), (* (cos (* K (/ (+ m n) 2))) (cos (- M))), (* (sin (* K (/ (+ m n) 2))) (sin (- M))), (* (cos (* K (/ (+ m n) 2))) (cos M)), (* (sin (* K (/ (+ m n) 2))) (sin M)), (log (cos (- (* K (/ (+ m n) 2)) M))), (exp (cos (- (* K (/ (+ m n) 2)) M))), (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))), (cbrt (cos (- (* K (/ (+ m n) 2)) M))), (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))), (sqrt (cos (- (* K (/ (+ m n) 2)) M))), (sqrt (cos (- (* K (/ (+ m n) 2)) M))), (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))), (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))), (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M))))), (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))), (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M)))), (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))), (fma K (/ (+ m n) 2) (- (* M 1))), (fma (- M) 1 (* M 1)), (expm1 (- (* K (/ (+ m n) 2)) M)), (log1p (- (* K (/ (+ m n) 2)) M)), (- M), (/ (exp (* K (/ (+ m n) 2))) (exp M)), (log (- (* K (/ (+ m n) 2)) M)), (exp (- (* K (/ (+ m n) 2)) M)), (* (cbrt (- (* K (/ (+ m n) 2)) M)) (cbrt (- (* K (/ (+ m n) 2)) M))), (cbrt (- (* K (/ (+ m n) 2)) M)), (* (* (- (* K (/ (+ m n) 2)) M) (- (* K (/ (+ m n) 2)) M)) (- (* K (/ (+ m n) 2)) M)), (sqrt (- (* K (/ (+ m n) 2)) M)), (sqrt (- (* K (/ (+ m n) 2)) M)), (- (pow (* K (/ (+ m n) 2)) 3) (pow M 3)), (+ (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (+ (* M M) (* (* K (/ (+ m n) 2)) M))), (- M), (- (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (* M M)), (+ (* K (/ (+ m n) 2)) M), (- M), (real->posit16 (- (* K (/ (+ m n) 2)) M)), (expm1 (* K (/ (+ m n) 2))), (log1p (* K (/ (+ m n) 2))), (* K (/ (+ m n) 2)), (+ (log K) (- (log (+ m n)) (log 2))), (+ (log K) (log (/ (+ m n) 2))), (log (* K (/ (+ m n) 2))), (exp (* K (/ (+ m n) 2))), (* (* (* K K) K) (/ (* (* (+ m n) (+ m n)) (+ m n)) (* (* 2 2) 2))), (* (* (* K K) K) (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2))), (* (cbrt (* K (/ (+ m n) 2))) (cbrt (* K (/ (+ m n) 2)))), (cbrt (* K (/ (+ m n) 2))), (* (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (* K (/ (+ m n) 2))), (sqrt (* K (/ (+ m n) 2))), (sqrt (* K (/ (+ m n) 2))), (* (sqrt K) (sqrt (/ (+ m n) 2))), (* (sqrt K) (sqrt (/ (+ m n) 2))), (* (sqrt K) (/ (sqrt (+ m n)) (sqrt 2))), (* (sqrt K) (/ (sqrt (+ m n)) (sqrt 2))), (* K (* (cbrt (/ (+ m n) 2)) (cbrt (/ (+ m n) 2)))), (* K (sqrt (/ (+ m n) 2))), (* K (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (* (cbrt 2) (cbrt 2)))), (* K (/ (* (cbrt (+ m n)) (cbrt (+ m n))) (sqrt 2))), (* K (/ (* (cbrt (+ m n)) (cbrt (+ m n))) 1)), (* K (/ (sqrt (+ m n)) (* (cbrt 2) (cbrt 2)))), (* K (/ (sqrt (+ m n)) (sqrt 2))), (* K (/ (sqrt (+ m n)) 1)), (* K (/ 1 (* (cbrt 2) (cbrt 2)))), (* K (/ 1 (sqrt 2))), (* K (/ 1 1)), (* K (/ 1 (* (cbrt 2) (cbrt 2)))), (* K (/ 1 (sqrt 2))), (* K (/ 1 1)), (* K 1), (* K (+ m n)), (* (cbrt K) (/ (+ m n) 2)), (* (sqrt K) (/ (+ m n) 2)), (* K (/ (+ m n) 2)), (* K (+ m n)), (real->posit16 (* K (/ (+ m n) 2))), 1, (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))), (- (pow M 2) (+ (* m M) (* M n))), (- (pow M 2) (+ (* m M) (* M n))), (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M), (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M), (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M), (+ (* 1/2 (* m K)) (* 1/2 (* K n))), (+ (* 1/2 (* m K)) (* 1/2 (* K n))), (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 2.024 * * [simplify]: iteration 1: (188 enodes) 2.096 * * [simplify]: iteration 2: (723 enodes) 2.317 * * [simplify]: iteration 3: (1397 enodes) 2.909 * * [simplify]: Extracting #0: cost 72 inf + 0 2.911 * * [simplify]: Extracting #1: cost 394 inf + 2 2.921 * * [simplify]: Extracting #2: cost 695 inf + 20615 2.945 * * [simplify]: Extracting #3: cost 379 inf + 96389 3.003 * * [simplify]: Extracting #4: cost 45 inf + 169013 3.065 * * [simplify]: Extracting #5: cost 2 inf + 181863 3.111 * * [simplify]: Extracting #6: cost 0 inf + 182995 3.179 * [simplify]: Simplified to (expm1 (cos (- (* (/ (+ m n) 2) K) M))), (log1p (cos (- (* (/ (+ m n) 2) K) M))), (* (cos (+ (- M) M)) (cos (- (* (/ (+ m n) 2) K) M))), (* (sin (- (* (/ (+ m n) 2) K) M)) (sin (+ (- M) M))), (* (cos (+ (- M) M)) (cos (- (* (/ (+ m n) 2) K) M))), (* (sin (- (* (/ (+ m n) 2) K) M)) (sin (+ (- M) M))), (* (cos (+ (- M) M)) (cos (- (* (/ (+ m n) 2) K) M))), (* (sin (- (* (/ (+ m n) 2) K) M)) (sin (+ (- M) M))), (* (cos (* (/ (+ m n) 2) K)) (cos M)), (* (sin (- M)) (sin (* (/ (+ m n) 2) K))), (* (cos (* (/ (+ m n) 2) K)) (cos M)), (* (sin (- M)) (sin (* (/ (+ m n) 2) K))), (* (cos (* (/ (+ m n) 2) K)) (cos M)), (* (sin (* (/ (+ m n) 2) K)) (sin M)), (log (cos (- (* (/ (+ m n) 2) K) M))), (exp (cos (- (* (/ (+ m n) 2) K) M))), (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))), (cbrt (cos (- (* (/ (+ m n) 2) K) M))), (* (cos (- (* (/ (+ m n) 2) K) M)) (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M)))), (sqrt (cos (- (* (/ (+ m n) 2) K) M))), (sqrt (cos (- (* (/ (+ m n) 2) K) M))), (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))), (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))), (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (- (* (/ (+ m n) 2) K) M), (+ (- M) M), (- (* (/ (+ m n) 2) K) M), (+ (- M) M), (- (* (/ (+ m n) 2) K) M), (+ (- M) M), (expm1 (- (* (/ (+ m n) 2) K) M)), (log1p (- (* (/ (+ m n) 2) K) M)), (- M), (exp (- (* (/ (+ m n) 2) K) M)), (log (- (* (/ (+ m n) 2) K) M)), (exp (- (* (/ (+ m n) 2) K) M)), (* (cbrt (- (* (/ (+ m n) 2) K) M)) (cbrt (- (* (/ (+ m n) 2) K) M))), (cbrt (- (* (/ (+ m n) 2) K) M)), (* (* (- (* (/ (+ m n) 2) K) M) (- (* (/ (+ m n) 2) K) M)) (- (* (/ (+ m n) 2) K) M)), (sqrt (- (* (/ (+ m n) 2) K) M)), (sqrt (- (* (/ (+ m n) 2) K) M)), (- (/ (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) 8) (* (* M M) M)), (fma (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K) (* M (fma K (/ (+ m n) 2) M))), (- M), (- (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K)) (* M M)), (fma K (/ (+ m n) 2) M), (- M), (real->posit16 (- (* (/ (+ m n) 2) K) M)), (expm1 (* (/ (+ m n) 2) K)), (log1p (* (/ (+ m n) 2) K)), (* (/ (+ m n) 2) K), (log (* (/ (+ m n) 2) K)), (log (* (/ (+ m n) 2) K)), (log (* (/ (+ m n) 2) K)), (sqrt (exp (* (+ m n) K))), (/ (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) 8), (/ (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) 8), (* (cbrt (* (/ (+ m n) 2) K)) (cbrt (* (/ (+ m n) 2) K))), (cbrt (* (/ (+ m n) 2) K)), (/ (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) 8), (sqrt (* (/ (+ m n) 2) K)), (sqrt (* (/ (+ m n) 2) K)), (* (sqrt (/ (+ m n) 2)) (sqrt K)), (* (sqrt (/ (+ m n) 2)) (sqrt K)), (* (sqrt K) (/ (sqrt (+ m n)) (sqrt 2))), (* (sqrt K) (/ (sqrt (+ m n)) (sqrt 2))), (* K (* (cbrt (/ (+ m n) 2)) (cbrt (/ (+ m n) 2)))), (* (sqrt (/ (+ m n) 2)) K), (* (/ (cbrt (+ m n)) (cbrt 2)) (* K (/ (cbrt (+ m n)) (cbrt 2)))), (* (/ K (sqrt 2)) (* (cbrt (+ m n)) (cbrt (+ m n)))), (* (* (cbrt (+ m n)) (cbrt (+ m n))) K), (/ K (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ m n)))), (* (/ K (sqrt 2)) (sqrt (+ m n))), (* K (sqrt (+ m n))), (/ (/ K (cbrt 2)) (cbrt 2)), (/ K (sqrt 2)), K, (/ (/ K (cbrt 2)) (cbrt 2)), (/ K (sqrt 2)), K, K, (* (+ m n) K), (/ (cbrt K) (/ 2 (+ m n))), (* (/ (sqrt K) 2) (+ m n)), (* (/ (+ m n) 2) K), (* (+ m n) K), (real->posit16 (* (/ (+ m n) 2) K)), 1, (cos (- (* (* (+ m n) K) 1/2) M)), (cos (- (* (* (+ m n) K) 1/2) M)), (fma m (* 1/4 m) (fma (* m 1/2) n l)), (* M (- M (+ m n))), (* M (- M (+ m n))), (- (* (* (+ m n) K) 1/2) M), (- (* (* (+ m n) K) 1/2) M), (- (* (* (+ m n) K) 1/2) M), (* (* (+ m n) K) 1/2), (* (* (+ m n) K) 1/2), (* (* (+ m n) K) 1/2) 3.189 * * * [progress]: adding candidates to table 5.030 * * [progress]: iteration 2 / 4 5.030 * * * [progress]: picking best candidate 5.085 * * * * [pick]: Picked # 5.085 * * * [progress]: localizing error 5.140 * * * [progress]: generating rewritten candidates 5.140 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 5.141 * * * [progress]: generating series expansions 5.141 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 5.141 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 5.142 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 5.142 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 5.142 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 5.142 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 5.142 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 5.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 5.142 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 5.142 * [taylor]: Taking taylor expansion of 1/2 in l 5.142 * [backup-simplify]: Simplify 1/2 into 1/2 5.142 * [taylor]: Taking taylor expansion of m in l 5.142 * [backup-simplify]: Simplify m into m 5.142 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 5.142 * [taylor]: Taking taylor expansion of 1/2 in l 5.142 * [backup-simplify]: Simplify 1/2 into 1/2 5.142 * [taylor]: Taking taylor expansion of n in l 5.142 * [backup-simplify]: Simplify n into n 5.142 * [taylor]: Taking taylor expansion of M in l 5.142 * [backup-simplify]: Simplify M into M 5.142 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 5.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 5.142 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 5.142 * [taylor]: Taking taylor expansion of 1/2 in l 5.142 * [backup-simplify]: Simplify 1/2 into 1/2 5.142 * [taylor]: Taking taylor expansion of m in l 5.142 * [backup-simplify]: Simplify m into m 5.142 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 5.142 * [taylor]: Taking taylor expansion of 1/2 in l 5.142 * [backup-simplify]: Simplify 1/2 into 1/2 5.142 * [taylor]: Taking taylor expansion of n in l 5.142 * [backup-simplify]: Simplify n into n 5.142 * [taylor]: Taking taylor expansion of M in l 5.142 * [backup-simplify]: Simplify M into M 5.142 * [taylor]: Taking taylor expansion of l in l 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 1 into 1 5.142 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 5.143 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 5.143 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 5.143 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.143 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.143 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.143 * [taylor]: Taking taylor expansion of 1/2 in M 5.143 * [backup-simplify]: Simplify 1/2 into 1/2 5.143 * [taylor]: Taking taylor expansion of m in M 5.143 * [backup-simplify]: Simplify m into m 5.143 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.143 * [taylor]: Taking taylor expansion of 1/2 in M 5.143 * [backup-simplify]: Simplify 1/2 into 1/2 5.143 * [taylor]: Taking taylor expansion of n in M 5.143 * [backup-simplify]: Simplify n into n 5.143 * [taylor]: Taking taylor expansion of M in M 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.143 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.143 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.143 * [taylor]: Taking taylor expansion of 1/2 in M 5.143 * [backup-simplify]: Simplify 1/2 into 1/2 5.143 * [taylor]: Taking taylor expansion of m in M 5.143 * [backup-simplify]: Simplify m into m 5.143 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.143 * [taylor]: Taking taylor expansion of 1/2 in M 5.143 * [backup-simplify]: Simplify 1/2 into 1/2 5.143 * [taylor]: Taking taylor expansion of n in M 5.143 * [backup-simplify]: Simplify n into n 5.143 * [taylor]: Taking taylor expansion of M in M 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [taylor]: Taking taylor expansion of l in M 5.143 * [backup-simplify]: Simplify l into l 5.143 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 5.143 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 5.144 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 5.144 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.144 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.144 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.144 * [taylor]: Taking taylor expansion of 1/2 in n 5.144 * [backup-simplify]: Simplify 1/2 into 1/2 5.144 * [taylor]: Taking taylor expansion of m in n 5.144 * [backup-simplify]: Simplify m into m 5.144 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.144 * [taylor]: Taking taylor expansion of 1/2 in n 5.144 * [backup-simplify]: Simplify 1/2 into 1/2 5.144 * [taylor]: Taking taylor expansion of n in n 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [taylor]: Taking taylor expansion of M in n 5.144 * [backup-simplify]: Simplify M into M 5.144 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.144 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.144 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.144 * [taylor]: Taking taylor expansion of 1/2 in n 5.144 * [backup-simplify]: Simplify 1/2 into 1/2 5.144 * [taylor]: Taking taylor expansion of m in n 5.144 * [backup-simplify]: Simplify m into m 5.144 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.144 * [taylor]: Taking taylor expansion of 1/2 in n 5.144 * [backup-simplify]: Simplify 1/2 into 1/2 5.144 * [taylor]: Taking taylor expansion of n in n 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [taylor]: Taking taylor expansion of M in n 5.144 * [backup-simplify]: Simplify M into M 5.144 * [taylor]: Taking taylor expansion of l in n 5.144 * [backup-simplify]: Simplify l into l 5.144 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 5.144 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 5.144 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 5.144 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.145 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.145 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.145 * [taylor]: Taking taylor expansion of 1/2 in m 5.145 * [backup-simplify]: Simplify 1/2 into 1/2 5.145 * [taylor]: Taking taylor expansion of m in m 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.145 * [taylor]: Taking taylor expansion of 1/2 in m 5.145 * [backup-simplify]: Simplify 1/2 into 1/2 5.145 * [taylor]: Taking taylor expansion of n in m 5.145 * [backup-simplify]: Simplify n into n 5.145 * [taylor]: Taking taylor expansion of M in m 5.145 * [backup-simplify]: Simplify M into M 5.145 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.145 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.145 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.145 * [taylor]: Taking taylor expansion of 1/2 in m 5.145 * [backup-simplify]: Simplify 1/2 into 1/2 5.145 * [taylor]: Taking taylor expansion of m in m 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.145 * [taylor]: Taking taylor expansion of 1/2 in m 5.145 * [backup-simplify]: Simplify 1/2 into 1/2 5.145 * [taylor]: Taking taylor expansion of n in m 5.145 * [backup-simplify]: Simplify n into n 5.145 * [taylor]: Taking taylor expansion of M in m 5.145 * [backup-simplify]: Simplify M into M 5.145 * [taylor]: Taking taylor expansion of l in m 5.145 * [backup-simplify]: Simplify l into l 5.145 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 5.145 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 5.145 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 5.145 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.145 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.145 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.146 * [taylor]: Taking taylor expansion of 1/2 in m 5.146 * [backup-simplify]: Simplify 1/2 into 1/2 5.146 * [taylor]: Taking taylor expansion of m in m 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.146 * [taylor]: Taking taylor expansion of 1/2 in m 5.146 * [backup-simplify]: Simplify 1/2 into 1/2 5.146 * [taylor]: Taking taylor expansion of n in m 5.146 * [backup-simplify]: Simplify n into n 5.146 * [taylor]: Taking taylor expansion of M in m 5.146 * [backup-simplify]: Simplify M into M 5.146 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.146 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.146 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.146 * [taylor]: Taking taylor expansion of 1/2 in m 5.146 * [backup-simplify]: Simplify 1/2 into 1/2 5.146 * [taylor]: Taking taylor expansion of m in m 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.146 * [taylor]: Taking taylor expansion of 1/2 in m 5.146 * [backup-simplify]: Simplify 1/2 into 1/2 5.146 * [taylor]: Taking taylor expansion of n in m 5.146 * [backup-simplify]: Simplify n into n 5.146 * [taylor]: Taking taylor expansion of M in m 5.146 * [backup-simplify]: Simplify M into M 5.146 * [taylor]: Taking taylor expansion of l in m 5.146 * [backup-simplify]: Simplify l into l 5.147 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.147 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.147 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.147 * [backup-simplify]: Simplify (- M) into (- M) 5.147 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.148 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.148 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.148 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.148 * [backup-simplify]: Simplify (- M) into (- M) 5.148 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.148 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 5.149 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 5.149 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 5.149 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 5.149 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.149 * [taylor]: Taking taylor expansion of M in n 5.149 * [backup-simplify]: Simplify M into M 5.149 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 5.149 * [taylor]: Taking taylor expansion of l in n 5.149 * [backup-simplify]: Simplify l into l 5.149 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 5.149 * [taylor]: Taking taylor expansion of 1/4 in n 5.149 * [backup-simplify]: Simplify 1/4 into 1/4 5.149 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.149 * [taylor]: Taking taylor expansion of n in n 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [taylor]: Taking taylor expansion of (* M n) in n 5.149 * [taylor]: Taking taylor expansion of M in n 5.149 * [backup-simplify]: Simplify M into M 5.149 * [taylor]: Taking taylor expansion of n in n 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.149 * [backup-simplify]: Simplify (+ l 0) into l 5.149 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 5.149 * [backup-simplify]: Simplify (* M 0) into 0 5.150 * [backup-simplify]: Simplify (- 0) into 0 5.150 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 5.150 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 5.150 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.150 * [taylor]: Taking taylor expansion of M in M 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 1 into 1 5.150 * [taylor]: Taking taylor expansion of l in M 5.150 * [backup-simplify]: Simplify l into l 5.150 * [backup-simplify]: Simplify (+ 0 l) into l 5.150 * [taylor]: Taking taylor expansion of l in l 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 5.152 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.152 * [backup-simplify]: Simplify (- 0) into 0 5.153 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.154 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 5.154 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.155 * [backup-simplify]: Simplify (- 0) into 0 5.155 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.156 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 5.156 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 5.156 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.156 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.156 * [taylor]: Taking taylor expansion of 1/2 in n 5.156 * [backup-simplify]: Simplify 1/2 into 1/2 5.156 * [taylor]: Taking taylor expansion of n in n 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [taylor]: Taking taylor expansion of M in n 5.156 * [backup-simplify]: Simplify M into M 5.157 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.157 * [backup-simplify]: Simplify (- M) into (- M) 5.157 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.157 * [taylor]: Taking taylor expansion of (- M) in M 5.157 * [taylor]: Taking taylor expansion of M in M 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (- 0) into 0 5.157 * [taylor]: Taking taylor expansion of 0 in l 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 5.158 * [backup-simplify]: Simplify (+ 0 0) into 0 5.158 * [backup-simplify]: Simplify (+ 0 0) into 0 5.159 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.159 * [backup-simplify]: Simplify (- M) into (- M) 5.159 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.159 * [taylor]: Taking taylor expansion of (- M) in M 5.159 * [taylor]: Taking taylor expansion of M in M 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (- 0) into 0 5.159 * [taylor]: Taking taylor expansion of 0 in l 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [taylor]: Taking taylor expansion of 0 in l 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (- 0) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 5.165 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [backup-simplify]: Simplify (- 0) into 0 5.166 * [backup-simplify]: Simplify (+ 0 0) into 0 5.166 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 5.167 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.167 * [taylor]: Taking taylor expansion of 1/4 in n 5.167 * [backup-simplify]: Simplify 1/4 into 1/4 5.167 * [taylor]: Taking taylor expansion of 1/4 in M 5.167 * [backup-simplify]: Simplify 1/4 into 1/4 5.167 * [taylor]: Taking taylor expansion of 1/4 in l 5.167 * [backup-simplify]: Simplify 1/4 into 1/4 5.167 * [backup-simplify]: Simplify 1/4 into 1/4 5.168 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.168 * [backup-simplify]: Simplify (- 0) into 0 5.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.169 * [taylor]: Taking taylor expansion of 1/2 in M 5.169 * [backup-simplify]: Simplify 1/2 into 1/2 5.169 * [taylor]: Taking taylor expansion of 1/2 in l 5.169 * [backup-simplify]: Simplify 1/2 into 1/2 5.169 * [backup-simplify]: Simplify 1/2 into 1/2 5.170 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 5.171 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 5.171 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 5.171 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 5.171 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 5.171 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 5.171 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 5.171 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 5.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 5.171 * [taylor]: Taking taylor expansion of 1/2 in l 5.171 * [backup-simplify]: Simplify 1/2 into 1/2 5.171 * [taylor]: Taking taylor expansion of (/ 1 m) in l 5.171 * [taylor]: Taking taylor expansion of m in l 5.171 * [backup-simplify]: Simplify m into m 5.171 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 5.171 * [taylor]: Taking taylor expansion of 1/2 in l 5.171 * [backup-simplify]: Simplify 1/2 into 1/2 5.171 * [taylor]: Taking taylor expansion of (/ 1 n) in l 5.171 * [taylor]: Taking taylor expansion of n in l 5.171 * [backup-simplify]: Simplify n into n 5.171 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.171 * [taylor]: Taking taylor expansion of (/ 1 M) in l 5.171 * [taylor]: Taking taylor expansion of M in l 5.171 * [backup-simplify]: Simplify M into M 5.171 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.171 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 5.171 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 5.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 5.172 * [taylor]: Taking taylor expansion of 1/2 in l 5.172 * [backup-simplify]: Simplify 1/2 into 1/2 5.172 * [taylor]: Taking taylor expansion of (/ 1 m) in l 5.172 * [taylor]: Taking taylor expansion of m in l 5.172 * [backup-simplify]: Simplify m into m 5.172 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 5.172 * [taylor]: Taking taylor expansion of 1/2 in l 5.172 * [backup-simplify]: Simplify 1/2 into 1/2 5.172 * [taylor]: Taking taylor expansion of (/ 1 n) in l 5.172 * [taylor]: Taking taylor expansion of n in l 5.172 * [backup-simplify]: Simplify n into n 5.172 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.172 * [taylor]: Taking taylor expansion of (/ 1 M) in l 5.172 * [taylor]: Taking taylor expansion of M in l 5.172 * [backup-simplify]: Simplify M into M 5.172 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.172 * [taylor]: Taking taylor expansion of (/ 1 l) in l 5.172 * [taylor]: Taking taylor expansion of l in l 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.173 * [backup-simplify]: Simplify (/ 1 1) into 1 5.173 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 5.173 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 5.173 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 5.173 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.173 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.173 * [taylor]: Taking taylor expansion of 1/2 in M 5.173 * [backup-simplify]: Simplify 1/2 into 1/2 5.173 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.173 * [taylor]: Taking taylor expansion of m in M 5.173 * [backup-simplify]: Simplify m into m 5.173 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.173 * [taylor]: Taking taylor expansion of 1/2 in M 5.173 * [backup-simplify]: Simplify 1/2 into 1/2 5.173 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.173 * [taylor]: Taking taylor expansion of n in M 5.173 * [backup-simplify]: Simplify n into n 5.173 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.173 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.173 * [taylor]: Taking taylor expansion of M in M 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.174 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.174 * [taylor]: Taking taylor expansion of 1/2 in M 5.174 * [backup-simplify]: Simplify 1/2 into 1/2 5.174 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.174 * [taylor]: Taking taylor expansion of m in M 5.174 * [backup-simplify]: Simplify m into m 5.174 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.174 * [taylor]: Taking taylor expansion of 1/2 in M 5.174 * [backup-simplify]: Simplify 1/2 into 1/2 5.174 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.174 * [taylor]: Taking taylor expansion of n in M 5.174 * [backup-simplify]: Simplify n into n 5.174 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.174 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.174 * [taylor]: Taking taylor expansion of M in M 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (/ 1 1) into 1 5.175 * [taylor]: Taking taylor expansion of (/ 1 l) in M 5.175 * [taylor]: Taking taylor expansion of l in M 5.175 * [backup-simplify]: Simplify l into l 5.175 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.175 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 5.175 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 5.175 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 5.175 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.175 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.175 * [taylor]: Taking taylor expansion of 1/2 in n 5.175 * [backup-simplify]: Simplify 1/2 into 1/2 5.175 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.175 * [taylor]: Taking taylor expansion of m in n 5.175 * [backup-simplify]: Simplify m into m 5.175 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.175 * [taylor]: Taking taylor expansion of 1/2 in n 5.175 * [backup-simplify]: Simplify 1/2 into 1/2 5.175 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.175 * [taylor]: Taking taylor expansion of n in n 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (/ 1 1) into 1 5.176 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.176 * [taylor]: Taking taylor expansion of M in n 5.176 * [backup-simplify]: Simplify M into M 5.176 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.176 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.176 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.176 * [taylor]: Taking taylor expansion of 1/2 in n 5.176 * [backup-simplify]: Simplify 1/2 into 1/2 5.176 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.176 * [taylor]: Taking taylor expansion of m in n 5.176 * [backup-simplify]: Simplify m into m 5.176 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.176 * [taylor]: Taking taylor expansion of 1/2 in n 5.176 * [backup-simplify]: Simplify 1/2 into 1/2 5.176 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.176 * [taylor]: Taking taylor expansion of n in n 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.177 * [backup-simplify]: Simplify (/ 1 1) into 1 5.177 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.177 * [taylor]: Taking taylor expansion of M in n 5.177 * [backup-simplify]: Simplify M into M 5.177 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.177 * [taylor]: Taking taylor expansion of (/ 1 l) in n 5.177 * [taylor]: Taking taylor expansion of l in n 5.177 * [backup-simplify]: Simplify l into l 5.177 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.177 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 5.177 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 5.177 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 5.177 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.177 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.177 * [taylor]: Taking taylor expansion of 1/2 in m 5.177 * [backup-simplify]: Simplify 1/2 into 1/2 5.177 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.177 * [taylor]: Taking taylor expansion of m in m 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.178 * [taylor]: Taking taylor expansion of 1/2 in m 5.178 * [backup-simplify]: Simplify 1/2 into 1/2 5.178 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.178 * [taylor]: Taking taylor expansion of n in m 5.178 * [backup-simplify]: Simplify n into n 5.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.178 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.178 * [taylor]: Taking taylor expansion of M in m 5.178 * [backup-simplify]: Simplify M into M 5.178 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.178 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.178 * [taylor]: Taking taylor expansion of 1/2 in m 5.178 * [backup-simplify]: Simplify 1/2 into 1/2 5.178 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.178 * [taylor]: Taking taylor expansion of m in m 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.179 * [backup-simplify]: Simplify (/ 1 1) into 1 5.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.179 * [taylor]: Taking taylor expansion of 1/2 in m 5.179 * [backup-simplify]: Simplify 1/2 into 1/2 5.179 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.179 * [taylor]: Taking taylor expansion of n in m 5.179 * [backup-simplify]: Simplify n into n 5.179 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.179 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.179 * [taylor]: Taking taylor expansion of M in m 5.179 * [backup-simplify]: Simplify M into M 5.179 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.179 * [taylor]: Taking taylor expansion of (/ 1 l) in m 5.179 * [taylor]: Taking taylor expansion of l in m 5.179 * [backup-simplify]: Simplify l into l 5.179 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.179 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 5.179 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 5.180 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 5.180 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.180 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.180 * [taylor]: Taking taylor expansion of 1/2 in m 5.180 * [backup-simplify]: Simplify 1/2 into 1/2 5.180 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.180 * [taylor]: Taking taylor expansion of m in m 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (/ 1 1) into 1 5.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.181 * [taylor]: Taking taylor expansion of 1/2 in m 5.181 * [backup-simplify]: Simplify 1/2 into 1/2 5.181 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.181 * [taylor]: Taking taylor expansion of n in m 5.181 * [backup-simplify]: Simplify n into n 5.181 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.181 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.181 * [taylor]: Taking taylor expansion of M in m 5.181 * [backup-simplify]: Simplify M into M 5.181 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.181 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.181 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.181 * [taylor]: Taking taylor expansion of 1/2 in m 5.181 * [backup-simplify]: Simplify 1/2 into 1/2 5.181 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.181 * [taylor]: Taking taylor expansion of m in m 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.182 * [backup-simplify]: Simplify (/ 1 1) into 1 5.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.182 * [taylor]: Taking taylor expansion of 1/2 in m 5.182 * [backup-simplify]: Simplify 1/2 into 1/2 5.182 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.182 * [taylor]: Taking taylor expansion of n in m 5.182 * [backup-simplify]: Simplify n into n 5.182 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.182 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.182 * [taylor]: Taking taylor expansion of M in m 5.182 * [backup-simplify]: Simplify M into M 5.182 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.182 * [taylor]: Taking taylor expansion of (/ 1 l) in m 5.182 * [taylor]: Taking taylor expansion of l in m 5.182 * [backup-simplify]: Simplify l into l 5.182 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.183 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.183 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.184 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.184 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.185 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.185 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.186 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.186 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.186 * [taylor]: Taking taylor expansion of 1/4 in n 5.186 * [backup-simplify]: Simplify 1/4 into 1/4 5.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.188 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.188 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.188 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.188 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.190 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.190 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.190 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.191 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.191 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.191 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.191 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.191 * [taylor]: Taking taylor expansion of 1/2 in n 5.191 * [backup-simplify]: Simplify 1/2 into 1/2 5.191 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.191 * [taylor]: Taking taylor expansion of n in n 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (/ 1 1) into 1 5.192 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.192 * [taylor]: Taking taylor expansion of M in n 5.192 * [backup-simplify]: Simplify M into M 5.192 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.196 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.197 * [backup-simplify]: Simplify (- 0) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.200 * [backup-simplify]: Simplify (+ 0 0) into 0 5.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.201 * [backup-simplify]: Simplify (- 0) into 0 5.201 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 5.203 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 5.203 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 5.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 5.203 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.203 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.203 * [taylor]: Taking taylor expansion of M in n 5.203 * [backup-simplify]: Simplify M into M 5.203 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.204 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.204 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 5.204 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.204 * [taylor]: Taking taylor expansion of 1/4 in n 5.204 * [backup-simplify]: Simplify 1/4 into 1/4 5.204 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.204 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.204 * [taylor]: Taking taylor expansion of n in n 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.204 * [backup-simplify]: Simplify (* 1 1) into 1 5.205 * [backup-simplify]: Simplify (/ 1 1) into 1 5.205 * [taylor]: Taking taylor expansion of (/ 1 l) in n 5.205 * [taylor]: Taking taylor expansion of l in n 5.205 * [backup-simplify]: Simplify l into l 5.205 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.205 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.205 * [taylor]: Taking taylor expansion of (* M n) in n 5.205 * [taylor]: Taking taylor expansion of M in n 5.205 * [backup-simplify]: Simplify M into M 5.205 * [taylor]: Taking taylor expansion of n in n 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (* M 0) into 0 5.206 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.206 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.206 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.207 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.207 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.207 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.207 * [taylor]: Taking taylor expansion of 1/4 in M 5.208 * [backup-simplify]: Simplify 1/4 into 1/4 5.208 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.208 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.209 * [taylor]: Taking taylor expansion of 1/2 in M 5.209 * [backup-simplify]: Simplify 1/2 into 1/2 5.209 * [taylor]: Taking taylor expansion of 1/4 in M 5.209 * [backup-simplify]: Simplify 1/4 into 1/4 5.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.212 * [backup-simplify]: Simplify (+ 0 0) into 0 5.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.213 * [backup-simplify]: Simplify (- 0) into 0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.217 * [backup-simplify]: Simplify (+ 0 0) into 0 5.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.218 * [backup-simplify]: Simplify (- 0) into 0 5.218 * [backup-simplify]: Simplify (+ 0 0) into 0 5.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 5.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 5.220 * [backup-simplify]: Simplify (+ 0 0) into 0 5.220 * [taylor]: Taking taylor expansion of 0 in n 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.222 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.222 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.222 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.222 * [taylor]: Taking taylor expansion of M in M 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.223 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.223 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.223 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.223 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.223 * [taylor]: Taking taylor expansion of M in M 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [taylor]: Taking taylor expansion of 0 in M 5.223 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.226 * [backup-simplify]: Simplify (+ 0 0) into 0 5.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.226 * [backup-simplify]: Simplify (- 0) into 0 5.227 * [backup-simplify]: Simplify (+ 0 0) into 0 5.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.230 * [backup-simplify]: Simplify (+ 0 0) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.230 * [backup-simplify]: Simplify (- 0) into 0 5.230 * [backup-simplify]: Simplify (+ 0 0) into 0 5.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 5.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 5.232 * [backup-simplify]: Simplify (+ 0 0) into 0 5.232 * [taylor]: Taking taylor expansion of 0 in n 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.234 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 5.234 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 5.234 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.234 * [backup-simplify]: Simplify (- 0) into 0 5.235 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 5.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 5.235 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.235 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.235 * [taylor]: Taking taylor expansion of M in M 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (* 1 1) into 1 5.235 * [backup-simplify]: Simplify (/ 1 1) into 1 5.235 * [taylor]: Taking taylor expansion of (/ 1 l) in M 5.235 * [taylor]: Taking taylor expansion of l in M 5.235 * [backup-simplify]: Simplify l into l 5.235 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.236 * [backup-simplify]: Simplify (+ 1 0) into 1 5.236 * [taylor]: Taking taylor expansion of 1 in l 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.237 * [backup-simplify]: Simplify (- 0) into 0 5.237 * [backup-simplify]: Simplify (+ 0 0) into 0 5.237 * [taylor]: Taking taylor expansion of 0 in M 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [taylor]: Taking taylor expansion of 0 in M 5.237 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (- 1) into -1 5.238 * [taylor]: Taking taylor expansion of -1 in l 5.238 * [backup-simplify]: Simplify -1 into -1 5.238 * [backup-simplify]: Simplify (- 1) into -1 5.238 * [taylor]: Taking taylor expansion of -1 in l 5.238 * [backup-simplify]: Simplify -1 into -1 5.238 * [taylor]: Taking taylor expansion of 1/4 in l 5.238 * [backup-simplify]: Simplify 1/4 into 1/4 5.238 * [taylor]: Taking taylor expansion of 1/2 in l 5.238 * [backup-simplify]: Simplify 1/2 into 1/2 5.238 * [taylor]: Taking taylor expansion of 1/4 in l 5.238 * [backup-simplify]: Simplify 1/4 into 1/4 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 5.241 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.241 * [backup-simplify]: Simplify (- 0) into 0 5.242 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.252 * [backup-simplify]: Simplify (- 0) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 5.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.254 * [taylor]: Taking taylor expansion of 0 in n 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [taylor]: Taking taylor expansion of 0 in M 5.254 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 5.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 5.259 * [backup-simplify]: Simplify (+ 0 0) into 0 5.259 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.260 * [backup-simplify]: Simplify (- 0) into 0 5.261 * [backup-simplify]: Simplify (+ 0 0) into 0 5.261 * [taylor]: Taking taylor expansion of 0 in M 5.261 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.264 * [backup-simplify]: Simplify (+ 0 0) into 0 5.264 * [taylor]: Taking taylor expansion of 0 in M 5.264 * [backup-simplify]: Simplify 0 into 0 5.264 * [taylor]: Taking taylor expansion of 0 in M 5.264 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify (+ 0 0) into 0 5.266 * [taylor]: Taking taylor expansion of 0 in l 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (- 0) into 0 5.267 * [taylor]: Taking taylor expansion of 0 in l 5.267 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (- 0) into 0 5.268 * [taylor]: Taking taylor expansion of 0 in l 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [taylor]: Taking taylor expansion of 0 in l 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [taylor]: Taking taylor expansion of 0 in l 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [taylor]: Taking taylor expansion of 0 in l 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [taylor]: Taking taylor expansion of 0 in l 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify -1 into -1 5.268 * [backup-simplify]: Simplify -1 into -1 5.269 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.270 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 5.270 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 5.270 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 5.270 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 5.270 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 5.270 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 5.270 * [taylor]: Taking taylor expansion of (/ 1 M) in l 5.270 * [taylor]: Taking taylor expansion of M in l 5.270 * [backup-simplify]: Simplify M into M 5.270 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.270 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 5.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 5.270 * [taylor]: Taking taylor expansion of 1/2 in l 5.270 * [backup-simplify]: Simplify 1/2 into 1/2 5.270 * [taylor]: Taking taylor expansion of (/ 1 m) in l 5.270 * [taylor]: Taking taylor expansion of m in l 5.270 * [backup-simplify]: Simplify m into m 5.270 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 5.270 * [taylor]: Taking taylor expansion of 1/2 in l 5.270 * [backup-simplify]: Simplify 1/2 into 1/2 5.270 * [taylor]: Taking taylor expansion of (/ 1 n) in l 5.270 * [taylor]: Taking taylor expansion of n in l 5.270 * [backup-simplify]: Simplify n into n 5.270 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.271 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 5.271 * [taylor]: Taking taylor expansion of (/ 1 M) in l 5.271 * [taylor]: Taking taylor expansion of M in l 5.271 * [backup-simplify]: Simplify M into M 5.271 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.271 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 5.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 5.271 * [taylor]: Taking taylor expansion of 1/2 in l 5.271 * [backup-simplify]: Simplify 1/2 into 1/2 5.271 * [taylor]: Taking taylor expansion of (/ 1 m) in l 5.271 * [taylor]: Taking taylor expansion of m in l 5.271 * [backup-simplify]: Simplify m into m 5.271 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 5.271 * [taylor]: Taking taylor expansion of 1/2 in l 5.271 * [backup-simplify]: Simplify 1/2 into 1/2 5.271 * [taylor]: Taking taylor expansion of (/ 1 n) in l 5.271 * [taylor]: Taking taylor expansion of n in l 5.271 * [backup-simplify]: Simplify n into n 5.271 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.271 * [taylor]: Taking taylor expansion of (/ -1 l) in l 5.271 * [taylor]: Taking taylor expansion of -1 in l 5.271 * [backup-simplify]: Simplify -1 into -1 5.271 * [taylor]: Taking taylor expansion of l in l 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (/ -1 1) into -1 5.272 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 5.272 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 5.272 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 5.272 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.272 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.272 * [taylor]: Taking taylor expansion of M in M 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (/ 1 1) into 1 5.272 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.272 * [taylor]: Taking taylor expansion of 1/2 in M 5.272 * [backup-simplify]: Simplify 1/2 into 1/2 5.272 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.272 * [taylor]: Taking taylor expansion of m in M 5.272 * [backup-simplify]: Simplify m into m 5.272 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.272 * [taylor]: Taking taylor expansion of 1/2 in M 5.273 * [backup-simplify]: Simplify 1/2 into 1/2 5.273 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.273 * [taylor]: Taking taylor expansion of n in M 5.273 * [backup-simplify]: Simplify n into n 5.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.273 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.273 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.273 * [taylor]: Taking taylor expansion of M in M 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (/ 1 1) into 1 5.273 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.273 * [taylor]: Taking taylor expansion of 1/2 in M 5.273 * [backup-simplify]: Simplify 1/2 into 1/2 5.273 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.273 * [taylor]: Taking taylor expansion of m in M 5.273 * [backup-simplify]: Simplify m into m 5.273 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.273 * [taylor]: Taking taylor expansion of 1/2 in M 5.273 * [backup-simplify]: Simplify 1/2 into 1/2 5.273 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.273 * [taylor]: Taking taylor expansion of n in M 5.273 * [backup-simplify]: Simplify n into n 5.273 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.273 * [taylor]: Taking taylor expansion of (/ -1 l) in M 5.274 * [taylor]: Taking taylor expansion of -1 in M 5.274 * [backup-simplify]: Simplify -1 into -1 5.274 * [taylor]: Taking taylor expansion of l in M 5.274 * [backup-simplify]: Simplify l into l 5.274 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 5.274 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 5.274 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 5.274 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 5.274 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.274 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.274 * [taylor]: Taking taylor expansion of M in n 5.274 * [backup-simplify]: Simplify M into M 5.274 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.274 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.274 * [taylor]: Taking taylor expansion of 1/2 in n 5.274 * [backup-simplify]: Simplify 1/2 into 1/2 5.274 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.274 * [taylor]: Taking taylor expansion of m in n 5.274 * [backup-simplify]: Simplify m into m 5.274 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.274 * [taylor]: Taking taylor expansion of 1/2 in n 5.274 * [backup-simplify]: Simplify 1/2 into 1/2 5.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.274 * [taylor]: Taking taylor expansion of n in n 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (/ 1 1) into 1 5.275 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.275 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.275 * [taylor]: Taking taylor expansion of M in n 5.275 * [backup-simplify]: Simplify M into M 5.275 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.275 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.275 * [taylor]: Taking taylor expansion of 1/2 in n 5.275 * [backup-simplify]: Simplify 1/2 into 1/2 5.275 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.275 * [taylor]: Taking taylor expansion of m in n 5.275 * [backup-simplify]: Simplify m into m 5.275 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.275 * [taylor]: Taking taylor expansion of 1/2 in n 5.275 * [backup-simplify]: Simplify 1/2 into 1/2 5.275 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.275 * [taylor]: Taking taylor expansion of n in n 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (/ 1 1) into 1 5.275 * [taylor]: Taking taylor expansion of (/ -1 l) in n 5.276 * [taylor]: Taking taylor expansion of -1 in n 5.276 * [backup-simplify]: Simplify -1 into -1 5.276 * [taylor]: Taking taylor expansion of l in n 5.276 * [backup-simplify]: Simplify l into l 5.276 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 5.276 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 5.276 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 5.276 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 5.276 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.276 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.276 * [taylor]: Taking taylor expansion of M in m 5.276 * [backup-simplify]: Simplify M into M 5.276 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.276 * [taylor]: Taking taylor expansion of 1/2 in m 5.276 * [backup-simplify]: Simplify 1/2 into 1/2 5.276 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.276 * [taylor]: Taking taylor expansion of m in m 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (/ 1 1) into 1 5.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.276 * [taylor]: Taking taylor expansion of 1/2 in m 5.277 * [backup-simplify]: Simplify 1/2 into 1/2 5.277 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.277 * [taylor]: Taking taylor expansion of n in m 5.277 * [backup-simplify]: Simplify n into n 5.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.277 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.277 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.277 * [taylor]: Taking taylor expansion of M in m 5.277 * [backup-simplify]: Simplify M into M 5.277 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.277 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.277 * [taylor]: Taking taylor expansion of 1/2 in m 5.277 * [backup-simplify]: Simplify 1/2 into 1/2 5.277 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.277 * [taylor]: Taking taylor expansion of m in m 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 1 into 1 5.277 * [backup-simplify]: Simplify (/ 1 1) into 1 5.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.277 * [taylor]: Taking taylor expansion of 1/2 in m 5.277 * [backup-simplify]: Simplify 1/2 into 1/2 5.277 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.277 * [taylor]: Taking taylor expansion of n in m 5.277 * [backup-simplify]: Simplify n into n 5.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.278 * [taylor]: Taking taylor expansion of (/ -1 l) in m 5.278 * [taylor]: Taking taylor expansion of -1 in m 5.278 * [backup-simplify]: Simplify -1 into -1 5.278 * [taylor]: Taking taylor expansion of l in m 5.278 * [backup-simplify]: Simplify l into l 5.278 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 5.278 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 5.278 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 5.278 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 5.278 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.278 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.278 * [taylor]: Taking taylor expansion of M in m 5.278 * [backup-simplify]: Simplify M into M 5.278 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.278 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.278 * [taylor]: Taking taylor expansion of 1/2 in m 5.278 * [backup-simplify]: Simplify 1/2 into 1/2 5.278 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.278 * [taylor]: Taking taylor expansion of m in m 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [backup-simplify]: Simplify (/ 1 1) into 1 5.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.279 * [taylor]: Taking taylor expansion of 1/2 in m 5.279 * [backup-simplify]: Simplify 1/2 into 1/2 5.279 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.279 * [taylor]: Taking taylor expansion of n in m 5.279 * [backup-simplify]: Simplify n into n 5.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.279 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.279 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.279 * [taylor]: Taking taylor expansion of M in m 5.279 * [backup-simplify]: Simplify M into M 5.279 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.279 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.279 * [taylor]: Taking taylor expansion of 1/2 in m 5.279 * [backup-simplify]: Simplify 1/2 into 1/2 5.279 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.279 * [taylor]: Taking taylor expansion of m in m 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [backup-simplify]: Simplify (/ 1 1) into 1 5.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.279 * [taylor]: Taking taylor expansion of 1/2 in m 5.279 * [backup-simplify]: Simplify 1/2 into 1/2 5.279 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.279 * [taylor]: Taking taylor expansion of n in m 5.280 * [backup-simplify]: Simplify n into n 5.280 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.280 * [taylor]: Taking taylor expansion of (/ -1 l) in m 5.280 * [taylor]: Taking taylor expansion of -1 in m 5.280 * [backup-simplify]: Simplify -1 into -1 5.280 * [taylor]: Taking taylor expansion of l in m 5.280 * [backup-simplify]: Simplify l into l 5.280 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 5.280 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.281 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.281 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.282 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.282 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.282 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.283 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.283 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.283 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 5.284 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.284 * [taylor]: Taking taylor expansion of 1/4 in n 5.284 * [backup-simplify]: Simplify 1/4 into 1/4 5.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.285 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.286 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 5.286 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.287 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.287 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.287 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 5.288 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 5.288 * [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)) 5.288 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.288 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.288 * [taylor]: Taking taylor expansion of 1/2 in n 5.288 * [backup-simplify]: Simplify 1/2 into 1/2 5.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.288 * [taylor]: Taking taylor expansion of n in n 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.289 * [backup-simplify]: Simplify (/ 1 1) into 1 5.289 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.289 * [taylor]: Taking taylor expansion of M in n 5.289 * [backup-simplify]: Simplify M into M 5.289 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.292 * [backup-simplify]: Simplify (+ 0 0) into 0 5.292 * [backup-simplify]: Simplify (- 0) into 0 5.292 * [backup-simplify]: Simplify (+ 0 0) into 0 5.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.295 * [backup-simplify]: Simplify (+ 0 0) into 0 5.295 * [backup-simplify]: Simplify (- 0) into 0 5.296 * [backup-simplify]: Simplify (+ 0 0) into 0 5.297 * [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))) 5.297 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 5.297 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 5.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 5.297 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.297 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.297 * [taylor]: Taking taylor expansion of M in n 5.297 * [backup-simplify]: Simplify M into M 5.298 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.298 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.298 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.298 * [taylor]: Taking taylor expansion of 1/4 in n 5.298 * [backup-simplify]: Simplify 1/4 into 1/4 5.298 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.298 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.298 * [taylor]: Taking taylor expansion of n in n 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (* 1 1) into 1 5.298 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 5.299 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.299 * [taylor]: Taking taylor expansion of (* M n) in n 5.299 * [taylor]: Taking taylor expansion of M in n 5.299 * [backup-simplify]: Simplify M into M 5.299 * [taylor]: Taking taylor expansion of n in n 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (* M 0) into 0 5.299 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.299 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.299 * [taylor]: Taking taylor expansion of (/ 1 l) in n 5.299 * [taylor]: Taking taylor expansion of l in n 5.299 * [backup-simplify]: Simplify l into l 5.299 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.300 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.300 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.300 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.300 * [taylor]: Taking taylor expansion of 1/4 in M 5.301 * [backup-simplify]: Simplify 1/4 into 1/4 5.301 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.301 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.301 * [taylor]: Taking taylor expansion of 1/2 in M 5.301 * [backup-simplify]: Simplify 1/2 into 1/2 5.301 * [taylor]: Taking taylor expansion of 1/4 in M 5.301 * [backup-simplify]: Simplify 1/4 into 1/4 5.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.305 * [backup-simplify]: Simplify (+ 0 0) into 0 5.306 * [backup-simplify]: Simplify (- 0) into 0 5.306 * [backup-simplify]: Simplify (+ 0 0) into 0 5.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.309 * [backup-simplify]: Simplify (+ 0 0) into 0 5.310 * [backup-simplify]: Simplify (- 0) into 0 5.310 * [backup-simplify]: Simplify (+ 0 0) into 0 5.311 * [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 5.311 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 5.311 * [backup-simplify]: Simplify (+ 0 0) into 0 5.311 * [taylor]: Taking taylor expansion of 0 in n 5.311 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.314 * [backup-simplify]: Simplify (+ 0 0) into 0 5.314 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 5.314 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.314 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.314 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.314 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.314 * [taylor]: Taking taylor expansion of M in M 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.314 * [backup-simplify]: Simplify (/ 1 1) into 1 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.316 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.316 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.316 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.316 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.316 * [taylor]: Taking taylor expansion of M in M 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 1 into 1 5.317 * [backup-simplify]: Simplify (/ 1 1) into 1 5.317 * [taylor]: Taking taylor expansion of 0 in M 5.317 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (- 0) into 0 5.321 * [backup-simplify]: Simplify (+ 0 0) into 0 5.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.325 * [backup-simplify]: Simplify (+ 0 0) into 0 5.326 * [backup-simplify]: Simplify (- 0) into 0 5.326 * [backup-simplify]: Simplify (+ 0 0) into 0 5.327 * [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 5.327 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.328 * [taylor]: Taking taylor expansion of 0 in n 5.328 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.331 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.331 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.331 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.332 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 5.332 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 5.332 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 5.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 5.332 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.332 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.332 * [taylor]: Taking taylor expansion of M in M 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify (* 1 1) into 1 5.333 * [backup-simplify]: Simplify (/ 1 1) into 1 5.333 * [taylor]: Taking taylor expansion of (/ 1 l) in M 5.333 * [taylor]: Taking taylor expansion of l in M 5.333 * [backup-simplify]: Simplify l into l 5.333 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 5.333 * [backup-simplify]: Simplify (+ 1 0) into 1 5.333 * [taylor]: Taking taylor expansion of 1 in l 5.333 * [backup-simplify]: Simplify 1 into 1 5.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.335 * [backup-simplify]: Simplify (- 0) into 0 5.336 * [backup-simplify]: Simplify (+ 0 0) into 0 5.336 * [taylor]: Taking taylor expansion of 0 in M 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [taylor]: Taking taylor expansion of 0 in M 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify (- 1) into -1 5.336 * [taylor]: Taking taylor expansion of -1 in l 5.336 * [backup-simplify]: Simplify -1 into -1 5.337 * [backup-simplify]: Simplify (- 1) into -1 5.337 * [taylor]: Taking taylor expansion of -1 in l 5.337 * [backup-simplify]: Simplify -1 into -1 5.337 * [taylor]: Taking taylor expansion of 1/4 in l 5.337 * [backup-simplify]: Simplify 1/4 into 1/4 5.337 * [taylor]: Taking taylor expansion of 1/2 in l 5.337 * [backup-simplify]: Simplify 1/2 into 1/2 5.337 * [taylor]: Taking taylor expansion of 1/4 in l 5.337 * [backup-simplify]: Simplify 1/4 into 1/4 5.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 5.341 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify (- 0) into 0 5.342 * [backup-simplify]: Simplify (+ 0 0) into 0 5.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 5.347 * [backup-simplify]: Simplify (+ 0 0) into 0 5.347 * [backup-simplify]: Simplify (- 0) into 0 5.347 * [backup-simplify]: Simplify (+ 0 0) into 0 5.349 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 5.349 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 5.349 * [backup-simplify]: Simplify (+ 0 0) into 0 5.350 * [taylor]: Taking taylor expansion of 0 in n 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [taylor]: Taking taylor expansion of 0 in M 5.350 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 5.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 5.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.353 * [backup-simplify]: Simplify (+ 0 0) into 0 5.354 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify (- 0) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.356 * [taylor]: Taking taylor expansion of 0 in M 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.358 * [backup-simplify]: Simplify (- 0) into 0 5.358 * [backup-simplify]: Simplify (+ 0 0) into 0 5.358 * [taylor]: Taking taylor expansion of 0 in M 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [taylor]: Taking taylor expansion of 0 in M 5.358 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [taylor]: Taking taylor expansion of 0 in l 5.360 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (- 0) into 0 5.361 * [taylor]: Taking taylor expansion of 0 in l 5.361 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (- 0) into 0 5.363 * [taylor]: Taking taylor expansion of 0 in l 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [taylor]: Taking taylor expansion of 0 in l 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [taylor]: Taking taylor expansion of 0 in l 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [taylor]: Taking taylor expansion of 0 in l 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [taylor]: Taking taylor expansion of 0 in l 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify -1 into -1 5.363 * [backup-simplify]: Simplify -1 into -1 5.364 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.364 * * * [progress]: simplifying candidates 5.364 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 5.364 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 5.364 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 5.364 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 5.364 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 5.364 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> 5.365 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 5.365 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 5.365 * [simplify]: Simplifying (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))), (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))), (- (pow M 2) (+ (* m M) (* M n))), (- (pow M 2) (+ (* m M) (* M n))) 5.366 * * [simplify]: iteration 1: (33 enodes) 5.386 * * [simplify]: iteration 2: (127 enodes) 5.420 * * [simplify]: iteration 3: (206 enodes) 5.488 * * [simplify]: iteration 4: (458 enodes) 5.665 * * [simplify]: iteration 5: (1343 enodes) 7.535 * * [simplify]: Extracting #0: cost 12 inf + 0 7.535 * * [simplify]: Extracting #1: cost 145 inf + 0 7.538 * * [simplify]: Extracting #2: cost 936 inf + 761 7.547 * * [simplify]: Extracting #3: cost 1384 inf + 6148 7.561 * * [simplify]: Extracting #4: cost 1221 inf + 45989 7.668 * * [simplify]: Extracting #5: cost 317 inf + 332952 7.873 * * [simplify]: Extracting #6: cost 1 inf + 431288 8.136 * * [simplify]: Extracting #7: cost 0 inf + 430933 8.380 * [simplify]: Simplified to (expm1 (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (log1p (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (log (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))), (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (* (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))), (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (real->posit16 (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (fma m (fma n 1/2 (* 1/4 m)) l), (* M (- M (+ n m))), (* M (- M (+ n m))) 8.381 * * * [progress]: adding candidates to table 8.596 * * [progress]: iteration 3 / 4 8.596 * * * [progress]: picking best candidate 8.662 * * * * [pick]: Picked #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> 8.662 * * * [progress]: localizing error 8.713 * * * [progress]: generating rewritten candidates 8.713 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2) 8.714 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2 1 1) 8.714 * * * [progress]: generating series expansions 8.714 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2) 8.714 * [backup-simplify]: Simplify (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 8.714 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 8.714 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 8.715 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.715 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 8.715 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 8.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 8.715 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 8.715 * [taylor]: Taking taylor expansion of 1/2 in l 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of m in l 8.715 * [backup-simplify]: Simplify m into m 8.715 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 8.715 * [taylor]: Taking taylor expansion of 1/2 in l 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of n in l 8.715 * [backup-simplify]: Simplify n into n 8.715 * [taylor]: Taking taylor expansion of M in l 8.715 * [backup-simplify]: Simplify M into M 8.715 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 8.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 8.715 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 8.715 * [taylor]: Taking taylor expansion of 1/2 in l 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of m in l 8.715 * [backup-simplify]: Simplify m into m 8.715 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 8.715 * [taylor]: Taking taylor expansion of 1/2 in l 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of n in l 8.715 * [backup-simplify]: Simplify n into n 8.715 * [taylor]: Taking taylor expansion of M in l 8.715 * [backup-simplify]: Simplify M into M 8.715 * [taylor]: Taking taylor expansion of l in l 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 8.715 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.715 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 8.715 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.715 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.715 * [taylor]: Taking taylor expansion of 1/2 in M 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of m in M 8.715 * [backup-simplify]: Simplify m into m 8.715 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.715 * [taylor]: Taking taylor expansion of 1/2 in M 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of n in M 8.715 * [backup-simplify]: Simplify n into n 8.715 * [taylor]: Taking taylor expansion of M in M 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.715 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.715 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.715 * [taylor]: Taking taylor expansion of 1/2 in M 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of m in M 8.715 * [backup-simplify]: Simplify m into m 8.715 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.715 * [taylor]: Taking taylor expansion of 1/2 in M 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of n in M 8.715 * [backup-simplify]: Simplify n into n 8.715 * [taylor]: Taking taylor expansion of M in M 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of l in M 8.715 * [backup-simplify]: Simplify l into l 8.716 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 8.716 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.716 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 8.716 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.716 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.716 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.716 * [taylor]: Taking taylor expansion of 1/2 in n 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of m in n 8.716 * [backup-simplify]: Simplify m into m 8.716 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.716 * [taylor]: Taking taylor expansion of 1/2 in n 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of n in n 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [taylor]: Taking taylor expansion of M in n 8.716 * [backup-simplify]: Simplify M into M 8.716 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.716 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.716 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.716 * [taylor]: Taking taylor expansion of 1/2 in n 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of m in n 8.716 * [backup-simplify]: Simplify m into m 8.716 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.716 * [taylor]: Taking taylor expansion of 1/2 in n 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of n in n 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [taylor]: Taking taylor expansion of M in n 8.716 * [backup-simplify]: Simplify M into M 8.716 * [taylor]: Taking taylor expansion of l in n 8.716 * [backup-simplify]: Simplify l into l 8.716 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 8.716 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.716 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 8.716 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.716 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.716 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.716 * [taylor]: Taking taylor expansion of 1/2 in m 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of m in m 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.716 * [taylor]: Taking taylor expansion of 1/2 in m 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of n in m 8.716 * [backup-simplify]: Simplify n into n 8.716 * [taylor]: Taking taylor expansion of M in m 8.716 * [backup-simplify]: Simplify M into M 8.716 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.716 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.716 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.716 * [taylor]: Taking taylor expansion of 1/2 in m 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of m in m 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.716 * [taylor]: Taking taylor expansion of 1/2 in m 8.716 * [backup-simplify]: Simplify 1/2 into 1/2 8.716 * [taylor]: Taking taylor expansion of n in m 8.716 * [backup-simplify]: Simplify n into n 8.716 * [taylor]: Taking taylor expansion of M in m 8.716 * [backup-simplify]: Simplify M into M 8.716 * [taylor]: Taking taylor expansion of l in m 8.717 * [backup-simplify]: Simplify l into l 8.717 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 8.717 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.717 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 8.717 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.717 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.717 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.717 * [taylor]: Taking taylor expansion of 1/2 in m 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of m in m 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.717 * [taylor]: Taking taylor expansion of 1/2 in m 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of n in m 8.717 * [backup-simplify]: Simplify n into n 8.717 * [taylor]: Taking taylor expansion of M in m 8.717 * [backup-simplify]: Simplify M into M 8.717 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.717 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.717 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.717 * [taylor]: Taking taylor expansion of 1/2 in m 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of m in m 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.717 * [taylor]: Taking taylor expansion of 1/2 in m 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of n in m 8.717 * [backup-simplify]: Simplify n into n 8.717 * [taylor]: Taking taylor expansion of M in m 8.717 * [backup-simplify]: Simplify M into M 8.717 * [taylor]: Taking taylor expansion of l in m 8.717 * [backup-simplify]: Simplify l into l 8.718 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.718 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.718 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.718 * [backup-simplify]: Simplify (- M) into (- M) 8.718 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.718 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.718 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.718 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.718 * [backup-simplify]: Simplify (- M) into (- M) 8.718 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.718 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 8.718 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 8.718 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 8.718 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 8.719 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.719 * [taylor]: Taking taylor expansion of M in n 8.719 * [backup-simplify]: Simplify M into M 8.719 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 8.719 * [taylor]: Taking taylor expansion of l in n 8.719 * [backup-simplify]: Simplify l into l 8.719 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 8.719 * [taylor]: Taking taylor expansion of 1/4 in n 8.719 * [backup-simplify]: Simplify 1/4 into 1/4 8.719 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.719 * [taylor]: Taking taylor expansion of n in n 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of (* M n) in n 8.719 * [taylor]: Taking taylor expansion of M in n 8.719 * [backup-simplify]: Simplify M into M 8.719 * [taylor]: Taking taylor expansion of n in n 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.719 * [backup-simplify]: Simplify (+ l 0) into l 8.719 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 8.719 * [backup-simplify]: Simplify (* M 0) into 0 8.719 * [backup-simplify]: Simplify (- 0) into 0 8.719 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 8.719 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 8.719 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.719 * [taylor]: Taking taylor expansion of M in M 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of l in M 8.719 * [backup-simplify]: Simplify l into l 8.719 * [backup-simplify]: Simplify (+ 0 l) into l 8.719 * [taylor]: Taking taylor expansion of l in l 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.727 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.727 * [backup-simplify]: Simplify (- 0) into 0 8.727 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.728 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.728 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.729 * [backup-simplify]: Simplify (- 0) into 0 8.729 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.729 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 8.729 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 8.729 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 8.729 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.729 * [taylor]: Taking taylor expansion of 1/2 in n 8.729 * [backup-simplify]: Simplify 1/2 into 1/2 8.729 * [taylor]: Taking taylor expansion of n in n 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [taylor]: Taking taylor expansion of M in n 8.729 * [backup-simplify]: Simplify M into M 8.729 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.729 * [backup-simplify]: Simplify (- M) into (- M) 8.730 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.730 * [taylor]: Taking taylor expansion of (- M) in M 8.730 * [taylor]: Taking taylor expansion of M in M 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (- 0) into 0 8.730 * [taylor]: Taking taylor expansion of 0 in l 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.730 * [backup-simplify]: Simplify (+ 0 0) into 0 8.730 * [backup-simplify]: Simplify (+ 0 0) into 0 8.731 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.731 * [backup-simplify]: Simplify (- M) into (- M) 8.731 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.731 * [taylor]: Taking taylor expansion of (- M) in M 8.731 * [taylor]: Taking taylor expansion of M in M 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (- 0) into 0 8.731 * [taylor]: Taking taylor expansion of 0 in l 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify (+ 0 0) into 0 8.731 * [taylor]: Taking taylor expansion of 0 in l 8.731 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.733 * [backup-simplify]: Simplify (+ 0 0) into 0 8.733 * [backup-simplify]: Simplify (- 0) into 0 8.734 * [backup-simplify]: Simplify (+ 0 0) into 0 8.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.735 * [backup-simplify]: Simplify (+ 0 0) into 0 8.736 * [backup-simplify]: Simplify (- 0) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 8.737 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.737 * [taylor]: Taking taylor expansion of 1/4 in n 8.737 * [backup-simplify]: Simplify 1/4 into 1/4 8.737 * [taylor]: Taking taylor expansion of 1/4 in M 8.737 * [backup-simplify]: Simplify 1/4 into 1/4 8.737 * [taylor]: Taking taylor expansion of 1/4 in l 8.737 * [backup-simplify]: Simplify 1/4 into 1/4 8.737 * [backup-simplify]: Simplify 1/4 into 1/4 8.738 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.738 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.738 * [taylor]: Taking taylor expansion of 1/2 in M 8.738 * [backup-simplify]: Simplify 1/2 into 1/2 8.738 * [taylor]: Taking taylor expansion of 1/2 in l 8.738 * [backup-simplify]: Simplify 1/2 into 1/2 8.738 * [backup-simplify]: Simplify 1/2 into 1/2 8.739 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 8.739 * [backup-simplify]: Simplify (posit16->real (real->posit16 (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)))) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 8.739 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 8.739 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 8.739 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.739 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 8.739 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 8.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.739 * [taylor]: Taking taylor expansion of 1/2 in l 8.739 * [backup-simplify]: Simplify 1/2 into 1/2 8.739 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.739 * [taylor]: Taking taylor expansion of m in l 8.739 * [backup-simplify]: Simplify m into m 8.739 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.739 * [taylor]: Taking taylor expansion of 1/2 in l 8.739 * [backup-simplify]: Simplify 1/2 into 1/2 8.739 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.739 * [taylor]: Taking taylor expansion of n in l 8.739 * [backup-simplify]: Simplify n into n 8.739 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.739 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.739 * [taylor]: Taking taylor expansion of M in l 8.739 * [backup-simplify]: Simplify M into M 8.739 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.739 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 8.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.740 * [taylor]: Taking taylor expansion of 1/2 in l 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.740 * [taylor]: Taking taylor expansion of m in l 8.740 * [backup-simplify]: Simplify m into m 8.740 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.740 * [taylor]: Taking taylor expansion of 1/2 in l 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.740 * [taylor]: Taking taylor expansion of n in l 8.740 * [backup-simplify]: Simplify n into n 8.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.740 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.740 * [taylor]: Taking taylor expansion of M in l 8.740 * [backup-simplify]: Simplify M into M 8.740 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.740 * [taylor]: Taking taylor expansion of (/ 1 l) in l 8.740 * [taylor]: Taking taylor expansion of l in l 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 1 into 1 8.740 * [backup-simplify]: Simplify (/ 1 1) into 1 8.740 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 8.740 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.740 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 8.740 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.740 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.740 * [taylor]: Taking taylor expansion of 1/2 in M 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.740 * [taylor]: Taking taylor expansion of m in M 8.740 * [backup-simplify]: Simplify m into m 8.740 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.740 * [taylor]: Taking taylor expansion of 1/2 in M 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.740 * [taylor]: Taking taylor expansion of n in M 8.740 * [backup-simplify]: Simplify n into n 8.740 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.741 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.741 * [taylor]: Taking taylor expansion of M in M 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (/ 1 1) into 1 8.741 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.741 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.741 * [taylor]: Taking taylor expansion of 1/2 in M 8.741 * [backup-simplify]: Simplify 1/2 into 1/2 8.741 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.741 * [taylor]: Taking taylor expansion of m in M 8.741 * [backup-simplify]: Simplify m into m 8.741 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.741 * [taylor]: Taking taylor expansion of 1/2 in M 8.741 * [backup-simplify]: Simplify 1/2 into 1/2 8.741 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.741 * [taylor]: Taking taylor expansion of n in M 8.741 * [backup-simplify]: Simplify n into n 8.741 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.741 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.741 * [taylor]: Taking taylor expansion of M in M 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (/ 1 1) into 1 8.741 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.741 * [taylor]: Taking taylor expansion of l in M 8.741 * [backup-simplify]: Simplify l into l 8.741 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.741 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 8.742 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.742 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 8.742 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.742 * [taylor]: Taking taylor expansion of 1/2 in n 8.742 * [backup-simplify]: Simplify 1/2 into 1/2 8.742 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.742 * [taylor]: Taking taylor expansion of m in n 8.742 * [backup-simplify]: Simplify m into m 8.742 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.742 * [taylor]: Taking taylor expansion of 1/2 in n 8.742 * [backup-simplify]: Simplify 1/2 into 1/2 8.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.742 * [taylor]: Taking taylor expansion of n in n 8.742 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify 1 into 1 8.742 * [backup-simplify]: Simplify (/ 1 1) into 1 8.742 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.742 * [taylor]: Taking taylor expansion of M in n 8.742 * [backup-simplify]: Simplify M into M 8.742 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.742 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.742 * [taylor]: Taking taylor expansion of 1/2 in n 8.742 * [backup-simplify]: Simplify 1/2 into 1/2 8.742 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.742 * [taylor]: Taking taylor expansion of m in n 8.742 * [backup-simplify]: Simplify m into m 8.742 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.742 * [taylor]: Taking taylor expansion of 1/2 in n 8.742 * [backup-simplify]: Simplify 1/2 into 1/2 8.742 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.742 * [taylor]: Taking taylor expansion of n in n 8.742 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.743 * [taylor]: Taking taylor expansion of M in n 8.743 * [backup-simplify]: Simplify M into M 8.743 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.743 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.743 * [taylor]: Taking taylor expansion of l in n 8.743 * [backup-simplify]: Simplify l into l 8.743 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.743 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 8.743 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.743 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 8.743 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.743 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.743 * [taylor]: Taking taylor expansion of 1/2 in m 8.743 * [backup-simplify]: Simplify 1/2 into 1/2 8.743 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.743 * [taylor]: Taking taylor expansion of m in m 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 1 into 1 8.743 * [backup-simplify]: Simplify (/ 1 1) into 1 8.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.743 * [taylor]: Taking taylor expansion of 1/2 in m 8.743 * [backup-simplify]: Simplify 1/2 into 1/2 8.743 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.743 * [taylor]: Taking taylor expansion of n in m 8.743 * [backup-simplify]: Simplify n into n 8.743 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.743 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.743 * [taylor]: Taking taylor expansion of M in m 8.743 * [backup-simplify]: Simplify M into M 8.743 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.743 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.744 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.744 * [taylor]: Taking taylor expansion of 1/2 in m 8.744 * [backup-simplify]: Simplify 1/2 into 1/2 8.744 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.744 * [taylor]: Taking taylor expansion of m in m 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 1 into 1 8.744 * [backup-simplify]: Simplify (/ 1 1) into 1 8.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.744 * [taylor]: Taking taylor expansion of 1/2 in m 8.744 * [backup-simplify]: Simplify 1/2 into 1/2 8.744 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.744 * [taylor]: Taking taylor expansion of n in m 8.744 * [backup-simplify]: Simplify n into n 8.744 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.744 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.744 * [taylor]: Taking taylor expansion of M in m 8.744 * [backup-simplify]: Simplify M into M 8.744 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.744 * [taylor]: Taking taylor expansion of (/ 1 l) in m 8.744 * [taylor]: Taking taylor expansion of l in m 8.744 * [backup-simplify]: Simplify l into l 8.744 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.744 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 8.744 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.744 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 8.744 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.744 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.744 * [taylor]: Taking taylor expansion of 1/2 in m 8.744 * [backup-simplify]: Simplify 1/2 into 1/2 8.744 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.744 * [taylor]: Taking taylor expansion of m in m 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ 1 1) into 1 8.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.745 * [taylor]: Taking taylor expansion of 1/2 in m 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.745 * [taylor]: Taking taylor expansion of n in m 8.745 * [backup-simplify]: Simplify n into n 8.745 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.745 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.745 * [taylor]: Taking taylor expansion of M in m 8.745 * [backup-simplify]: Simplify M into M 8.745 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.745 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.745 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.745 * [taylor]: Taking taylor expansion of 1/2 in m 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.745 * [taylor]: Taking taylor expansion of m in m 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ 1 1) into 1 8.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.745 * [taylor]: Taking taylor expansion of 1/2 in m 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.745 * [taylor]: Taking taylor expansion of n in m 8.745 * [backup-simplify]: Simplify n into n 8.745 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.745 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.745 * [taylor]: Taking taylor expansion of M in m 8.745 * [backup-simplify]: Simplify M into M 8.745 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.745 * [taylor]: Taking taylor expansion of (/ 1 l) in m 8.745 * [taylor]: Taking taylor expansion of l in m 8.745 * [backup-simplify]: Simplify l into l 8.745 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.746 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.746 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.747 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.747 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.747 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.748 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.748 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.748 * [taylor]: Taking taylor expansion of 1/4 in n 8.748 * [backup-simplify]: Simplify 1/4 into 1/4 8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.750 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.750 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.750 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.750 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.752 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.752 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.752 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.752 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.753 * [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)) 8.753 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.753 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.753 * [taylor]: Taking taylor expansion of 1/2 in n 8.753 * [backup-simplify]: Simplify 1/2 into 1/2 8.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.753 * [taylor]: Taking taylor expansion of n in n 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.753 * [backup-simplify]: Simplify (/ 1 1) into 1 8.753 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.753 * [taylor]: Taking taylor expansion of M in n 8.753 * [backup-simplify]: Simplify M into M 8.754 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.757 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.758 * [backup-simplify]: Simplify (- 0) into 0 8.758 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.762 * [backup-simplify]: Simplify (- 0) into 0 8.762 * [backup-simplify]: Simplify (+ 0 0) into 0 8.764 * [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))) 8.764 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 8.764 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 8.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 8.764 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.764 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.764 * [taylor]: Taking taylor expansion of M in n 8.764 * [backup-simplify]: Simplify M into M 8.764 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.764 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.764 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 8.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.765 * [taylor]: Taking taylor expansion of 1/4 in n 8.765 * [backup-simplify]: Simplify 1/4 into 1/4 8.765 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.765 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.765 * [taylor]: Taking taylor expansion of n in n 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [backup-simplify]: Simplify (* 1 1) into 1 8.766 * [backup-simplify]: Simplify (/ 1 1) into 1 8.766 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.766 * [taylor]: Taking taylor expansion of l in n 8.766 * [backup-simplify]: Simplify l into l 8.766 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.766 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.766 * [taylor]: Taking taylor expansion of (* M n) in n 8.766 * [taylor]: Taking taylor expansion of M in n 8.766 * [backup-simplify]: Simplify M into M 8.766 * [taylor]: Taking taylor expansion of n in n 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (* M 0) into 0 8.766 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.766 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.767 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.767 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.768 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.768 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.768 * [taylor]: Taking taylor expansion of 1/4 in M 8.768 * [backup-simplify]: Simplify 1/4 into 1/4 8.769 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.769 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.769 * [taylor]: Taking taylor expansion of 1/2 in M 8.769 * [backup-simplify]: Simplify 1/2 into 1/2 8.769 * [taylor]: Taking taylor expansion of 1/4 in M 8.769 * [backup-simplify]: Simplify 1/4 into 1/4 8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.773 * [backup-simplify]: Simplify (+ 0 0) into 0 8.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.778 * [backup-simplify]: Simplify (+ 0 0) into 0 8.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.778 * [backup-simplify]: Simplify (- 0) into 0 8.779 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [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 8.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.780 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [taylor]: Taking taylor expansion of 0 in n 8.780 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.782 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.783 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.783 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.783 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.783 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.783 * [taylor]: Taking taylor expansion of M in M 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (/ 1 1) into 1 8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.785 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.785 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.785 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.786 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.786 * [taylor]: Taking taylor expansion of M in M 8.786 * [backup-simplify]: Simplify 0 into 0 8.786 * [backup-simplify]: Simplify 1 into 1 8.786 * [backup-simplify]: Simplify (/ 1 1) into 1 8.786 * [taylor]: Taking taylor expansion of 0 in M 8.786 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.790 * [backup-simplify]: Simplify (+ 0 0) into 0 8.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.791 * [backup-simplify]: Simplify (- 0) into 0 8.791 * [backup-simplify]: Simplify (+ 0 0) into 0 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.795 * [backup-simplify]: Simplify (+ 0 0) into 0 8.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.796 * [backup-simplify]: Simplify (- 0) into 0 8.796 * [backup-simplify]: Simplify (+ 0 0) into 0 8.797 * [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 8.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.797 * [backup-simplify]: Simplify (+ 0 0) into 0 8.797 * [taylor]: Taking taylor expansion of 0 in n 8.797 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.799 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 8.799 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 8.799 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 8.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.800 * [backup-simplify]: Simplify (- 0) into 0 8.800 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 8.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 8.800 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.800 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.800 * [taylor]: Taking taylor expansion of M in M 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (* 1 1) into 1 8.800 * [backup-simplify]: Simplify (/ 1 1) into 1 8.800 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.800 * [taylor]: Taking taylor expansion of l in M 8.800 * [backup-simplify]: Simplify l into l 8.801 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.801 * [backup-simplify]: Simplify (+ 1 0) into 1 8.801 * [taylor]: Taking taylor expansion of 1 in l 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.802 * [backup-simplify]: Simplify (- 0) into 0 8.802 * [backup-simplify]: Simplify (+ 0 0) into 0 8.803 * [taylor]: Taking taylor expansion of 0 in M 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in M 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (- 1) into -1 8.803 * [taylor]: Taking taylor expansion of -1 in l 8.803 * [backup-simplify]: Simplify -1 into -1 8.803 * [backup-simplify]: Simplify (- 1) into -1 8.803 * [taylor]: Taking taylor expansion of -1 in l 8.803 * [backup-simplify]: Simplify -1 into -1 8.803 * [taylor]: Taking taylor expansion of 1/4 in l 8.803 * [backup-simplify]: Simplify 1/4 into 1/4 8.803 * [taylor]: Taking taylor expansion of 1/2 in l 8.803 * [backup-simplify]: Simplify 1/2 into 1/2 8.803 * [taylor]: Taking taylor expansion of 1/4 in l 8.803 * [backup-simplify]: Simplify 1/4 into 1/4 8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.806 * [backup-simplify]: Simplify (+ 0 0) into 0 8.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.807 * [backup-simplify]: Simplify (- 0) into 0 8.807 * [backup-simplify]: Simplify (+ 0 0) into 0 8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.810 * [backup-simplify]: Simplify (- 0) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 8.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.812 * [backup-simplify]: Simplify (+ 0 0) into 0 8.812 * [taylor]: Taking taylor expansion of 0 in n 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [taylor]: Taking taylor expansion of 0 in M 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 8.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.814 * [backup-simplify]: Simplify (+ 0 0) into 0 8.814 * [backup-simplify]: Simplify (+ 0 0) into 0 8.815 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.815 * [backup-simplify]: Simplify (- 0) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.815 * [taylor]: Taking taylor expansion of 0 in M 8.815 * [backup-simplify]: Simplify 0 into 0 8.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.817 * [backup-simplify]: Simplify (- 0) into 0 8.817 * [backup-simplify]: Simplify (+ 0 0) into 0 8.817 * [taylor]: Taking taylor expansion of 0 in M 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [taylor]: Taking taylor expansion of 0 in M 8.817 * [backup-simplify]: Simplify 0 into 0 8.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.818 * [backup-simplify]: Simplify (+ 0 0) into 0 8.818 * [taylor]: Taking taylor expansion of 0 in l 8.818 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.819 * [backup-simplify]: Simplify (- 0) into 0 8.819 * [taylor]: Taking taylor expansion of 0 in l 8.819 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.820 * [backup-simplify]: Simplify (- 0) into 0 8.820 * [taylor]: Taking taylor expansion of 0 in l 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [taylor]: Taking taylor expansion of 0 in l 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [taylor]: Taking taylor expansion of 0 in l 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [taylor]: Taking taylor expansion of 0 in l 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [taylor]: Taking taylor expansion of 0 in l 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify -1 into -1 8.820 * [backup-simplify]: Simplify -1 into -1 8.821 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.821 * [backup-simplify]: Simplify (posit16->real (real->posit16 (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 8.821 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 8.821 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 8.821 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.821 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 8.821 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 8.821 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.821 * [taylor]: Taking taylor expansion of M in l 8.821 * [backup-simplify]: Simplify M into M 8.821 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.821 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.821 * [taylor]: Taking taylor expansion of 1/2 in l 8.821 * [backup-simplify]: Simplify 1/2 into 1/2 8.821 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.821 * [taylor]: Taking taylor expansion of m in l 8.822 * [backup-simplify]: Simplify m into m 8.822 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.822 * [taylor]: Taking taylor expansion of 1/2 in l 8.822 * [backup-simplify]: Simplify 1/2 into 1/2 8.822 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.822 * [taylor]: Taking taylor expansion of n in l 8.822 * [backup-simplify]: Simplify n into n 8.822 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.822 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 8.822 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.822 * [taylor]: Taking taylor expansion of M in l 8.822 * [backup-simplify]: Simplify M into M 8.822 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.822 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.822 * [taylor]: Taking taylor expansion of 1/2 in l 8.822 * [backup-simplify]: Simplify 1/2 into 1/2 8.822 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.822 * [taylor]: Taking taylor expansion of m in l 8.822 * [backup-simplify]: Simplify m into m 8.822 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.822 * [taylor]: Taking taylor expansion of 1/2 in l 8.822 * [backup-simplify]: Simplify 1/2 into 1/2 8.822 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.822 * [taylor]: Taking taylor expansion of n in l 8.822 * [backup-simplify]: Simplify n into n 8.822 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.822 * [taylor]: Taking taylor expansion of (/ -1 l) in l 8.822 * [taylor]: Taking taylor expansion of -1 in l 8.822 * [backup-simplify]: Simplify -1 into -1 8.822 * [taylor]: Taking taylor expansion of l in l 8.822 * [backup-simplify]: Simplify 0 into 0 8.822 * [backup-simplify]: Simplify 1 into 1 8.822 * [backup-simplify]: Simplify (/ -1 1) into -1 8.822 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 8.822 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.822 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 8.822 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 8.823 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.823 * [taylor]: Taking taylor expansion of M in M 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.823 * [backup-simplify]: Simplify (/ 1 1) into 1 8.823 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.823 * [taylor]: Taking taylor expansion of 1/2 in M 8.823 * [backup-simplify]: Simplify 1/2 into 1/2 8.823 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.823 * [taylor]: Taking taylor expansion of m in M 8.823 * [backup-simplify]: Simplify m into m 8.823 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.823 * [taylor]: Taking taylor expansion of 1/2 in M 8.823 * [backup-simplify]: Simplify 1/2 into 1/2 8.823 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.823 * [taylor]: Taking taylor expansion of n in M 8.823 * [backup-simplify]: Simplify n into n 8.823 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.823 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 8.823 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.823 * [taylor]: Taking taylor expansion of M in M 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.823 * [backup-simplify]: Simplify (/ 1 1) into 1 8.823 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.823 * [taylor]: Taking taylor expansion of 1/2 in M 8.823 * [backup-simplify]: Simplify 1/2 into 1/2 8.823 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.823 * [taylor]: Taking taylor expansion of m in M 8.823 * [backup-simplify]: Simplify m into m 8.824 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.824 * [taylor]: Taking taylor expansion of 1/2 in M 8.824 * [backup-simplify]: Simplify 1/2 into 1/2 8.824 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.824 * [taylor]: Taking taylor expansion of n in M 8.824 * [backup-simplify]: Simplify n into n 8.824 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.824 * [taylor]: Taking taylor expansion of (/ -1 l) in M 8.824 * [taylor]: Taking taylor expansion of -1 in M 8.824 * [backup-simplify]: Simplify -1 into -1 8.824 * [taylor]: Taking taylor expansion of l in M 8.824 * [backup-simplify]: Simplify l into l 8.824 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.824 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 8.824 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.824 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 8.824 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 8.824 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.824 * [taylor]: Taking taylor expansion of M in n 8.824 * [backup-simplify]: Simplify M into M 8.824 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.824 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.824 * [taylor]: Taking taylor expansion of 1/2 in n 8.824 * [backup-simplify]: Simplify 1/2 into 1/2 8.824 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.824 * [taylor]: Taking taylor expansion of m in n 8.824 * [backup-simplify]: Simplify m into m 8.824 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.825 * [taylor]: Taking taylor expansion of 1/2 in n 8.825 * [backup-simplify]: Simplify 1/2 into 1/2 8.825 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.825 * [taylor]: Taking taylor expansion of n in n 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.825 * [backup-simplify]: Simplify (/ 1 1) into 1 8.825 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 8.825 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.825 * [taylor]: Taking taylor expansion of M in n 8.825 * [backup-simplify]: Simplify M into M 8.825 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.825 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.825 * [taylor]: Taking taylor expansion of 1/2 in n 8.825 * [backup-simplify]: Simplify 1/2 into 1/2 8.825 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.825 * [taylor]: Taking taylor expansion of m in n 8.826 * [backup-simplify]: Simplify m into m 8.826 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.826 * [taylor]: Taking taylor expansion of 1/2 in n 8.826 * [backup-simplify]: Simplify 1/2 into 1/2 8.826 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.826 * [taylor]: Taking taylor expansion of n in n 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 1 into 1 8.826 * [backup-simplify]: Simplify (/ 1 1) into 1 8.826 * [taylor]: Taking taylor expansion of (/ -1 l) in n 8.826 * [taylor]: Taking taylor expansion of -1 in n 8.826 * [backup-simplify]: Simplify -1 into -1 8.826 * [taylor]: Taking taylor expansion of l in n 8.826 * [backup-simplify]: Simplify l into l 8.826 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.826 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 8.826 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.827 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 8.827 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.827 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.827 * [taylor]: Taking taylor expansion of M in m 8.827 * [backup-simplify]: Simplify M into M 8.827 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.827 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.827 * [taylor]: Taking taylor expansion of 1/2 in m 8.827 * [backup-simplify]: Simplify 1/2 into 1/2 8.827 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.827 * [taylor]: Taking taylor expansion of m in m 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 1 into 1 8.827 * [backup-simplify]: Simplify (/ 1 1) into 1 8.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.827 * [taylor]: Taking taylor expansion of 1/2 in m 8.827 * [backup-simplify]: Simplify 1/2 into 1/2 8.827 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.827 * [taylor]: Taking taylor expansion of n in m 8.828 * [backup-simplify]: Simplify n into n 8.828 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.828 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.828 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.828 * [taylor]: Taking taylor expansion of M in m 8.828 * [backup-simplify]: Simplify M into M 8.828 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.828 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.828 * [taylor]: Taking taylor expansion of 1/2 in m 8.828 * [backup-simplify]: Simplify 1/2 into 1/2 8.828 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.828 * [taylor]: Taking taylor expansion of m in m 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 1 into 1 8.828 * [backup-simplify]: Simplify (/ 1 1) into 1 8.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.828 * [taylor]: Taking taylor expansion of 1/2 in m 8.828 * [backup-simplify]: Simplify 1/2 into 1/2 8.828 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.828 * [taylor]: Taking taylor expansion of n in m 8.829 * [backup-simplify]: Simplify n into n 8.829 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.829 * [taylor]: Taking taylor expansion of (/ -1 l) in m 8.829 * [taylor]: Taking taylor expansion of -1 in m 8.829 * [backup-simplify]: Simplify -1 into -1 8.829 * [taylor]: Taking taylor expansion of l in m 8.829 * [backup-simplify]: Simplify l into l 8.829 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.829 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 8.829 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.829 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 8.829 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.829 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.829 * [taylor]: Taking taylor expansion of M in m 8.829 * [backup-simplify]: Simplify M into M 8.829 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.829 * [taylor]: Taking taylor expansion of 1/2 in m 8.829 * [backup-simplify]: Simplify 1/2 into 1/2 8.829 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.829 * [taylor]: Taking taylor expansion of m in m 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.830 * [backup-simplify]: Simplify (/ 1 1) into 1 8.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.830 * [taylor]: Taking taylor expansion of 1/2 in m 8.830 * [backup-simplify]: Simplify 1/2 into 1/2 8.830 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.830 * [taylor]: Taking taylor expansion of n in m 8.830 * [backup-simplify]: Simplify n into n 8.830 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.830 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.830 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.830 * [taylor]: Taking taylor expansion of M in m 8.830 * [backup-simplify]: Simplify M into M 8.830 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.830 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.830 * [taylor]: Taking taylor expansion of 1/2 in m 8.830 * [backup-simplify]: Simplify 1/2 into 1/2 8.830 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.830 * [taylor]: Taking taylor expansion of m in m 8.830 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify 1 into 1 8.831 * [backup-simplify]: Simplify (/ 1 1) into 1 8.831 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.831 * [taylor]: Taking taylor expansion of 1/2 in m 8.831 * [backup-simplify]: Simplify 1/2 into 1/2 8.831 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.831 * [taylor]: Taking taylor expansion of n in m 8.831 * [backup-simplify]: Simplify n into n 8.831 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.831 * [taylor]: Taking taylor expansion of (/ -1 l) in m 8.831 * [taylor]: Taking taylor expansion of -1 in m 8.831 * [backup-simplify]: Simplify -1 into -1 8.831 * [taylor]: Taking taylor expansion of l in m 8.831 * [backup-simplify]: Simplify l into l 8.831 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.832 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.832 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.833 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.833 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.833 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.834 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.834 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.835 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.835 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 8.836 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.836 * [taylor]: Taking taylor expansion of 1/4 in n 8.836 * [backup-simplify]: Simplify 1/4 into 1/4 8.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.837 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.837 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.838 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 8.838 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.839 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.839 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.840 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 8.840 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 8.840 * [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)) 8.840 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.840 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.840 * [taylor]: Taking taylor expansion of 1/2 in n 8.840 * [backup-simplify]: Simplify 1/2 into 1/2 8.840 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.840 * [taylor]: Taking taylor expansion of n in n 8.840 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify 1 into 1 8.841 * [backup-simplify]: Simplify (/ 1 1) into 1 8.841 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.841 * [taylor]: Taking taylor expansion of M in n 8.841 * [backup-simplify]: Simplify M into M 8.841 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.850 * [backup-simplify]: Simplify (+ 0 0) into 0 8.850 * [backup-simplify]: Simplify (- 0) into 0 8.851 * [backup-simplify]: Simplify (+ 0 0) into 0 8.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.854 * [backup-simplify]: Simplify (+ 0 0) into 0 8.854 * [backup-simplify]: Simplify (- 0) into 0 8.855 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [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))) 8.857 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 8.857 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 8.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 8.857 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.857 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.857 * [taylor]: Taking taylor expansion of M in n 8.857 * [backup-simplify]: Simplify M into M 8.857 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.857 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.857 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.857 * [taylor]: Taking taylor expansion of 1/4 in n 8.857 * [backup-simplify]: Simplify 1/4 into 1/4 8.857 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.857 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.857 * [taylor]: Taking taylor expansion of n in n 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (* 1 1) into 1 8.858 * [backup-simplify]: Simplify (/ 1 1) into 1 8.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 8.858 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.858 * [taylor]: Taking taylor expansion of (* M n) in n 8.859 * [taylor]: Taking taylor expansion of M in n 8.859 * [backup-simplify]: Simplify M into M 8.859 * [taylor]: Taking taylor expansion of n in n 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (* M 0) into 0 8.859 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.859 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.859 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.859 * [taylor]: Taking taylor expansion of l in n 8.859 * [backup-simplify]: Simplify l into l 8.859 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.860 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.860 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.861 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.861 * [taylor]: Taking taylor expansion of 1/4 in M 8.861 * [backup-simplify]: Simplify 1/4 into 1/4 8.861 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.862 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.862 * [taylor]: Taking taylor expansion of 1/2 in M 8.862 * [backup-simplify]: Simplify 1/2 into 1/2 8.862 * [taylor]: Taking taylor expansion of 1/4 in M 8.862 * [backup-simplify]: Simplify 1/4 into 1/4 8.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.865 * [backup-simplify]: Simplify (+ 0 0) into 0 8.865 * [backup-simplify]: Simplify (- 0) into 0 8.865 * [backup-simplify]: Simplify (+ 0 0) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.867 * [backup-simplify]: Simplify (+ 0 0) into 0 8.868 * [backup-simplify]: Simplify (- 0) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 8.869 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 8.869 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [taylor]: Taking taylor expansion of 0 in n 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.870 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.871 * [backup-simplify]: Simplify (+ 0 0) into 0 8.871 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 8.871 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.871 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.871 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.871 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.871 * [taylor]: Taking taylor expansion of M in M 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (/ 1 1) into 1 8.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.872 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.872 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.872 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.872 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.872 * [taylor]: Taking taylor expansion of M in M 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (/ 1 1) into 1 8.872 * [taylor]: Taking taylor expansion of 0 in M 8.872 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.875 * [backup-simplify]: Simplify (- 0) into 0 8.875 * [backup-simplify]: Simplify (+ 0 0) into 0 8.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.878 * [backup-simplify]: Simplify (+ 0 0) into 0 8.878 * [backup-simplify]: Simplify (- 0) into 0 8.878 * [backup-simplify]: Simplify (+ 0 0) into 0 8.879 * [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 8.879 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.880 * [backup-simplify]: Simplify (+ 0 0) into 0 8.880 * [taylor]: Taking taylor expansion of 0 in n 8.880 * [backup-simplify]: Simplify 0 into 0 8.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.882 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 8.882 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 8.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.882 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 8.882 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 8.882 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 8.882 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 8.882 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.882 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.882 * [taylor]: Taking taylor expansion of M in M 8.882 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify 1 into 1 8.883 * [backup-simplify]: Simplify (* 1 1) into 1 8.883 * [backup-simplify]: Simplify (/ 1 1) into 1 8.883 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.883 * [taylor]: Taking taylor expansion of l in M 8.883 * [backup-simplify]: Simplify l into l 8.883 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.883 * [backup-simplify]: Simplify (+ 1 0) into 1 8.883 * [taylor]: Taking taylor expansion of 1 in l 8.883 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.885 * [backup-simplify]: Simplify (- 0) into 0 8.885 * [backup-simplify]: Simplify (+ 0 0) into 0 8.885 * [taylor]: Taking taylor expansion of 0 in M 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [taylor]: Taking taylor expansion of 0 in M 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify (- 1) into -1 8.885 * [taylor]: Taking taylor expansion of -1 in l 8.885 * [backup-simplify]: Simplify -1 into -1 8.886 * [backup-simplify]: Simplify (- 1) into -1 8.886 * [taylor]: Taking taylor expansion of -1 in l 8.886 * [backup-simplify]: Simplify -1 into -1 8.886 * [taylor]: Taking taylor expansion of 1/4 in l 8.886 * [backup-simplify]: Simplify 1/4 into 1/4 8.886 * [taylor]: Taking taylor expansion of 1/2 in l 8.886 * [backup-simplify]: Simplify 1/2 into 1/2 8.886 * [taylor]: Taking taylor expansion of 1/4 in l 8.886 * [backup-simplify]: Simplify 1/4 into 1/4 8.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.892 * [backup-simplify]: Simplify (+ 0 0) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify (+ 0 0) into 0 8.895 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 8.895 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.896 * [backup-simplify]: Simplify (+ 0 0) into 0 8.896 * [taylor]: Taking taylor expansion of 0 in n 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [taylor]: Taking taylor expansion of 0 in M 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 8.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.900 * [backup-simplify]: Simplify (+ 0 0) into 0 8.901 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.901 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [backup-simplify]: Simplify (- 0) into 0 8.902 * [backup-simplify]: Simplify (+ 0 0) into 0 8.902 * [taylor]: Taking taylor expansion of 0 in M 8.902 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.905 * [backup-simplify]: Simplify (- 0) into 0 8.905 * [backup-simplify]: Simplify (+ 0 0) into 0 8.905 * [taylor]: Taking taylor expansion of 0 in M 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [taylor]: Taking taylor expansion of 0 in M 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.907 * [backup-simplify]: Simplify (+ 0 0) into 0 8.907 * [taylor]: Taking taylor expansion of 0 in l 8.907 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (- 0) into 0 8.909 * [taylor]: Taking taylor expansion of 0 in l 8.909 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (- 0) into 0 8.910 * [taylor]: Taking taylor expansion of 0 in l 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [taylor]: Taking taylor expansion of 0 in l 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [taylor]: Taking taylor expansion of 0 in l 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [taylor]: Taking taylor expansion of 0 in l 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [taylor]: Taking taylor expansion of 0 in l 8.910 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify 1 into 1 8.910 * [backup-simplify]: Simplify -1 into -1 8.911 * [backup-simplify]: Simplify -1 into -1 8.912 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.912 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2 1 1) 8.912 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 8.912 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 8.912 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 8.912 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.912 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 8.912 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 8.912 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 8.912 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 8.912 * [taylor]: Taking taylor expansion of 1/2 in l 8.912 * [backup-simplify]: Simplify 1/2 into 1/2 8.912 * [taylor]: Taking taylor expansion of m in l 8.912 * [backup-simplify]: Simplify m into m 8.912 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 8.912 * [taylor]: Taking taylor expansion of 1/2 in l 8.912 * [backup-simplify]: Simplify 1/2 into 1/2 8.912 * [taylor]: Taking taylor expansion of n in l 8.912 * [backup-simplify]: Simplify n into n 8.913 * [taylor]: Taking taylor expansion of M in l 8.913 * [backup-simplify]: Simplify M into M 8.913 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 8.913 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 8.913 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 8.913 * [taylor]: Taking taylor expansion of 1/2 in l 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of m in l 8.913 * [backup-simplify]: Simplify m into m 8.913 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 8.913 * [taylor]: Taking taylor expansion of 1/2 in l 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of n in l 8.913 * [backup-simplify]: Simplify n into n 8.913 * [taylor]: Taking taylor expansion of M in l 8.913 * [backup-simplify]: Simplify M into M 8.913 * [taylor]: Taking taylor expansion of l in l 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 8.913 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.913 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 8.913 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.913 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.913 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.913 * [taylor]: Taking taylor expansion of 1/2 in M 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of m in M 8.913 * [backup-simplify]: Simplify m into m 8.913 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.913 * [taylor]: Taking taylor expansion of 1/2 in M 8.913 * [backup-simplify]: Simplify 1/2 into 1/2 8.913 * [taylor]: Taking taylor expansion of n in M 8.913 * [backup-simplify]: Simplify n into n 8.913 * [taylor]: Taking taylor expansion of M in M 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.914 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.914 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.914 * [taylor]: Taking taylor expansion of 1/2 in M 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of m in M 8.914 * [backup-simplify]: Simplify m into m 8.914 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.914 * [taylor]: Taking taylor expansion of 1/2 in M 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of n in M 8.914 * [backup-simplify]: Simplify n into n 8.914 * [taylor]: Taking taylor expansion of M in M 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [taylor]: Taking taylor expansion of l in M 8.914 * [backup-simplify]: Simplify l into l 8.914 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 8.914 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.914 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 8.914 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.914 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.914 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.914 * [taylor]: Taking taylor expansion of 1/2 in n 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of m in n 8.914 * [backup-simplify]: Simplify m into m 8.914 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.914 * [taylor]: Taking taylor expansion of 1/2 in n 8.914 * [backup-simplify]: Simplify 1/2 into 1/2 8.914 * [taylor]: Taking taylor expansion of n in n 8.914 * [backup-simplify]: Simplify 0 into 0 8.914 * [backup-simplify]: Simplify 1 into 1 8.914 * [taylor]: Taking taylor expansion of M in n 8.914 * [backup-simplify]: Simplify M into M 8.914 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.914 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.914 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.915 * [taylor]: Taking taylor expansion of 1/2 in n 8.915 * [backup-simplify]: Simplify 1/2 into 1/2 8.915 * [taylor]: Taking taylor expansion of m in n 8.915 * [backup-simplify]: Simplify m into m 8.915 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.915 * [taylor]: Taking taylor expansion of 1/2 in n 8.915 * [backup-simplify]: Simplify 1/2 into 1/2 8.915 * [taylor]: Taking taylor expansion of n in n 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of M in n 8.915 * [backup-simplify]: Simplify M into M 8.915 * [taylor]: Taking taylor expansion of l in n 8.915 * [backup-simplify]: Simplify l into l 8.915 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 8.915 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.915 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 8.915 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.915 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.915 * [taylor]: Taking taylor expansion of 1/2 in m 8.915 * [backup-simplify]: Simplify 1/2 into 1/2 8.915 * [taylor]: Taking taylor expansion of m in m 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.915 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.915 * [taylor]: Taking taylor expansion of 1/2 in m 8.915 * [backup-simplify]: Simplify 1/2 into 1/2 8.915 * [taylor]: Taking taylor expansion of n in m 8.915 * [backup-simplify]: Simplify n into n 8.915 * [taylor]: Taking taylor expansion of M in m 8.915 * [backup-simplify]: Simplify M into M 8.915 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.915 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.915 * [taylor]: Taking taylor expansion of 1/2 in m 8.915 * [backup-simplify]: Simplify 1/2 into 1/2 8.915 * [taylor]: Taking taylor expansion of m in m 8.915 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.916 * [taylor]: Taking taylor expansion of 1/2 in m 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [taylor]: Taking taylor expansion of n in m 8.916 * [backup-simplify]: Simplify n into n 8.916 * [taylor]: Taking taylor expansion of M in m 8.916 * [backup-simplify]: Simplify M into M 8.916 * [taylor]: Taking taylor expansion of l in m 8.916 * [backup-simplify]: Simplify l into l 8.916 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 8.916 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.916 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 8.916 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.916 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.916 * [taylor]: Taking taylor expansion of 1/2 in m 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [taylor]: Taking taylor expansion of m in m 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.916 * [taylor]: Taking taylor expansion of 1/2 in m 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [taylor]: Taking taylor expansion of n in m 8.916 * [backup-simplify]: Simplify n into n 8.916 * [taylor]: Taking taylor expansion of M in m 8.916 * [backup-simplify]: Simplify M into M 8.916 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.916 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.916 * [taylor]: Taking taylor expansion of 1/2 in m 8.916 * [backup-simplify]: Simplify 1/2 into 1/2 8.916 * [taylor]: Taking taylor expansion of m in m 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 1 into 1 8.916 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.916 * [taylor]: Taking taylor expansion of 1/2 in m 8.917 * [backup-simplify]: Simplify 1/2 into 1/2 8.917 * [taylor]: Taking taylor expansion of n in m 8.917 * [backup-simplify]: Simplify n into n 8.917 * [taylor]: Taking taylor expansion of M in m 8.917 * [backup-simplify]: Simplify M into M 8.917 * [taylor]: Taking taylor expansion of l in m 8.917 * [backup-simplify]: Simplify l into l 8.918 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.918 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.918 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.918 * [backup-simplify]: Simplify (- M) into (- M) 8.918 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.918 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.918 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.919 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.919 * [backup-simplify]: Simplify (- M) into (- M) 8.919 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.919 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 8.919 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 8.919 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 8.919 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 8.919 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.919 * [taylor]: Taking taylor expansion of M in n 8.919 * [backup-simplify]: Simplify M into M 8.919 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 8.919 * [taylor]: Taking taylor expansion of l in n 8.919 * [backup-simplify]: Simplify l into l 8.919 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 8.919 * [taylor]: Taking taylor expansion of 1/4 in n 8.919 * [backup-simplify]: Simplify 1/4 into 1/4 8.919 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.919 * [taylor]: Taking taylor expansion of n in n 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 1 into 1 8.920 * [taylor]: Taking taylor expansion of (* M n) in n 8.920 * [taylor]: Taking taylor expansion of M in n 8.920 * [backup-simplify]: Simplify M into M 8.920 * [taylor]: Taking taylor expansion of n in n 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 1 into 1 8.920 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.920 * [backup-simplify]: Simplify (+ l 0) into l 8.920 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 8.920 * [backup-simplify]: Simplify (* M 0) into 0 8.920 * [backup-simplify]: Simplify (- 0) into 0 8.920 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 8.921 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 8.921 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.921 * [taylor]: Taking taylor expansion of M in M 8.921 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify 1 into 1 8.921 * [taylor]: Taking taylor expansion of l in M 8.921 * [backup-simplify]: Simplify l into l 8.921 * [backup-simplify]: Simplify (+ 0 l) into l 8.921 * [taylor]: Taking taylor expansion of l in l 8.921 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify 1 into 1 8.921 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.922 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.923 * [backup-simplify]: Simplify (- 0) into 0 8.923 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.924 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.925 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.925 * [backup-simplify]: Simplify (- 0) into 0 8.926 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.926 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 8.926 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 8.926 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 8.926 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.926 * [taylor]: Taking taylor expansion of 1/2 in n 8.926 * [backup-simplify]: Simplify 1/2 into 1/2 8.926 * [taylor]: Taking taylor expansion of n in n 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.926 * [taylor]: Taking taylor expansion of M in n 8.926 * [backup-simplify]: Simplify M into M 8.927 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.927 * [backup-simplify]: Simplify (- M) into (- M) 8.927 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.927 * [taylor]: Taking taylor expansion of (- M) in M 8.927 * [taylor]: Taking taylor expansion of M in M 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.928 * [taylor]: Taking taylor expansion of 0 in l 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.928 * [backup-simplify]: Simplify (+ 0 0) into 0 8.928 * [backup-simplify]: Simplify (+ 0 0) into 0 8.928 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.928 * [backup-simplify]: Simplify (- M) into (- M) 8.929 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.929 * [taylor]: Taking taylor expansion of (- M) in M 8.929 * [taylor]: Taking taylor expansion of M in M 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.929 * [backup-simplify]: Simplify (- 0) into 0 8.929 * [taylor]: Taking taylor expansion of 0 in l 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify (+ 0 0) into 0 8.929 * [taylor]: Taking taylor expansion of 0 in l 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.931 * [backup-simplify]: Simplify (- 0) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.932 * [backup-simplify]: Simplify (+ 0 0) into 0 8.933 * [backup-simplify]: Simplify (- 0) into 0 8.933 * [backup-simplify]: Simplify (+ 0 0) into 0 8.933 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 8.934 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.934 * [taylor]: Taking taylor expansion of 1/4 in n 8.934 * [backup-simplify]: Simplify 1/4 into 1/4 8.934 * [taylor]: Taking taylor expansion of 1/4 in M 8.934 * [backup-simplify]: Simplify 1/4 into 1/4 8.934 * [taylor]: Taking taylor expansion of 1/4 in l 8.934 * [backup-simplify]: Simplify 1/4 into 1/4 8.934 * [backup-simplify]: Simplify 1/4 into 1/4 8.934 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.934 * [backup-simplify]: Simplify (- 0) into 0 8.935 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.935 * [taylor]: Taking taylor expansion of 1/2 in M 8.935 * [backup-simplify]: Simplify 1/2 into 1/2 8.935 * [taylor]: Taking taylor expansion of 1/2 in l 8.935 * [backup-simplify]: Simplify 1/2 into 1/2 8.935 * [backup-simplify]: Simplify 1/2 into 1/2 8.935 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 8.936 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 8.936 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 8.936 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 8.936 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.936 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 8.936 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 8.936 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.936 * [taylor]: Taking taylor expansion of 1/2 in l 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.936 * [taylor]: Taking taylor expansion of m in l 8.936 * [backup-simplify]: Simplify m into m 8.936 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.936 * [taylor]: Taking taylor expansion of 1/2 in l 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.936 * [taylor]: Taking taylor expansion of n in l 8.936 * [backup-simplify]: Simplify n into n 8.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.936 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.936 * [taylor]: Taking taylor expansion of M in l 8.936 * [backup-simplify]: Simplify M into M 8.936 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.936 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 8.936 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.936 * [taylor]: Taking taylor expansion of 1/2 in l 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.936 * [taylor]: Taking taylor expansion of m in l 8.936 * [backup-simplify]: Simplify m into m 8.936 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.936 * [taylor]: Taking taylor expansion of 1/2 in l 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.936 * [taylor]: Taking taylor expansion of n in l 8.936 * [backup-simplify]: Simplify n into n 8.936 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.936 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.936 * [taylor]: Taking taylor expansion of M in l 8.936 * [backup-simplify]: Simplify M into M 8.936 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.936 * [taylor]: Taking taylor expansion of (/ 1 l) in l 8.936 * [taylor]: Taking taylor expansion of l in l 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 1 into 1 8.937 * [backup-simplify]: Simplify (/ 1 1) into 1 8.937 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 8.937 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.937 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 8.937 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.937 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.937 * [taylor]: Taking taylor expansion of 1/2 in M 8.937 * [backup-simplify]: Simplify 1/2 into 1/2 8.937 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.937 * [taylor]: Taking taylor expansion of m in M 8.937 * [backup-simplify]: Simplify m into m 8.937 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.937 * [taylor]: Taking taylor expansion of 1/2 in M 8.937 * [backup-simplify]: Simplify 1/2 into 1/2 8.937 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.937 * [taylor]: Taking taylor expansion of n in M 8.937 * [backup-simplify]: Simplify n into n 8.937 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.937 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.937 * [taylor]: Taking taylor expansion of M in M 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.937 * [backup-simplify]: Simplify (/ 1 1) into 1 8.937 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.938 * [taylor]: Taking taylor expansion of 1/2 in M 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.938 * [taylor]: Taking taylor expansion of m in M 8.938 * [backup-simplify]: Simplify m into m 8.938 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.938 * [taylor]: Taking taylor expansion of 1/2 in M 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.938 * [taylor]: Taking taylor expansion of n in M 8.938 * [backup-simplify]: Simplify n into n 8.938 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.938 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.938 * [taylor]: Taking taylor expansion of M in M 8.938 * [backup-simplify]: Simplify 0 into 0 8.938 * [backup-simplify]: Simplify 1 into 1 8.938 * [backup-simplify]: Simplify (/ 1 1) into 1 8.938 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.938 * [taylor]: Taking taylor expansion of l in M 8.938 * [backup-simplify]: Simplify l into l 8.938 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.938 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 8.938 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.938 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 8.938 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.938 * [taylor]: Taking taylor expansion of 1/2 in n 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.938 * [taylor]: Taking taylor expansion of m in n 8.938 * [backup-simplify]: Simplify m into m 8.938 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.938 * [taylor]: Taking taylor expansion of 1/2 in n 8.938 * [backup-simplify]: Simplify 1/2 into 1/2 8.938 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.938 * [taylor]: Taking taylor expansion of n in n 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify (/ 1 1) into 1 8.939 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.939 * [taylor]: Taking taylor expansion of M in n 8.939 * [backup-simplify]: Simplify M into M 8.939 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.939 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.939 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.939 * [taylor]: Taking taylor expansion of 1/2 in n 8.939 * [backup-simplify]: Simplify 1/2 into 1/2 8.939 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.939 * [taylor]: Taking taylor expansion of m in n 8.939 * [backup-simplify]: Simplify m into m 8.939 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.939 * [taylor]: Taking taylor expansion of 1/2 in n 8.939 * [backup-simplify]: Simplify 1/2 into 1/2 8.939 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.939 * [taylor]: Taking taylor expansion of n in n 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify (/ 1 1) into 1 8.939 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.939 * [taylor]: Taking taylor expansion of M in n 8.939 * [backup-simplify]: Simplify M into M 8.939 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.939 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.939 * [taylor]: Taking taylor expansion of l in n 8.940 * [backup-simplify]: Simplify l into l 8.940 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.940 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 8.940 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.940 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 8.940 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.940 * [taylor]: Taking taylor expansion of 1/2 in m 8.940 * [backup-simplify]: Simplify 1/2 into 1/2 8.940 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.940 * [taylor]: Taking taylor expansion of m in m 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 1 into 1 8.940 * [backup-simplify]: Simplify (/ 1 1) into 1 8.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.940 * [taylor]: Taking taylor expansion of 1/2 in m 8.940 * [backup-simplify]: Simplify 1/2 into 1/2 8.940 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.940 * [taylor]: Taking taylor expansion of n in m 8.940 * [backup-simplify]: Simplify n into n 8.940 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.940 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.940 * [taylor]: Taking taylor expansion of M in m 8.940 * [backup-simplify]: Simplify M into M 8.940 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.940 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.940 * [taylor]: Taking taylor expansion of 1/2 in m 8.940 * [backup-simplify]: Simplify 1/2 into 1/2 8.940 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.940 * [taylor]: Taking taylor expansion of m in m 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 1 into 1 8.941 * [backup-simplify]: Simplify (/ 1 1) into 1 8.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.941 * [taylor]: Taking taylor expansion of 1/2 in m 8.941 * [backup-simplify]: Simplify 1/2 into 1/2 8.941 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.941 * [taylor]: Taking taylor expansion of n in m 8.941 * [backup-simplify]: Simplify n into n 8.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.941 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.941 * [taylor]: Taking taylor expansion of M in m 8.941 * [backup-simplify]: Simplify M into M 8.941 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.941 * [taylor]: Taking taylor expansion of (/ 1 l) in m 8.941 * [taylor]: Taking taylor expansion of l in m 8.941 * [backup-simplify]: Simplify l into l 8.941 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.941 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 8.941 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.941 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 8.941 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.941 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.941 * [taylor]: Taking taylor expansion of 1/2 in m 8.941 * [backup-simplify]: Simplify 1/2 into 1/2 8.941 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.941 * [taylor]: Taking taylor expansion of m in m 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 1 into 1 8.941 * [backup-simplify]: Simplify (/ 1 1) into 1 8.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.941 * [taylor]: Taking taylor expansion of 1/2 in m 8.941 * [backup-simplify]: Simplify 1/2 into 1/2 8.941 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.941 * [taylor]: Taking taylor expansion of n in m 8.941 * [backup-simplify]: Simplify n into n 8.941 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.941 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.941 * [taylor]: Taking taylor expansion of M in m 8.942 * [backup-simplify]: Simplify M into M 8.942 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.942 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.942 * [taylor]: Taking taylor expansion of 1/2 in m 8.942 * [backup-simplify]: Simplify 1/2 into 1/2 8.942 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.942 * [taylor]: Taking taylor expansion of m in m 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.942 * [backup-simplify]: Simplify (/ 1 1) into 1 8.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.942 * [taylor]: Taking taylor expansion of 1/2 in m 8.942 * [backup-simplify]: Simplify 1/2 into 1/2 8.942 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.942 * [taylor]: Taking taylor expansion of n in m 8.942 * [backup-simplify]: Simplify n into n 8.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.942 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.942 * [taylor]: Taking taylor expansion of M in m 8.942 * [backup-simplify]: Simplify M into M 8.942 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.942 * [taylor]: Taking taylor expansion of (/ 1 l) in m 8.942 * [taylor]: Taking taylor expansion of l in m 8.942 * [backup-simplify]: Simplify l into l 8.942 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.943 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.943 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.944 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.944 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.944 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.944 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.944 * [taylor]: Taking taylor expansion of 1/4 in n 8.944 * [backup-simplify]: Simplify 1/4 into 1/4 8.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.945 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.945 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.945 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.946 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.947 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.947 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.947 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.947 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.947 * [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)) 8.947 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.947 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.947 * [taylor]: Taking taylor expansion of 1/2 in n 8.947 * [backup-simplify]: Simplify 1/2 into 1/2 8.947 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.947 * [taylor]: Taking taylor expansion of n in n 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [backup-simplify]: Simplify (/ 1 1) into 1 8.947 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.947 * [taylor]: Taking taylor expansion of M in n 8.947 * [backup-simplify]: Simplify M into M 8.947 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.949 * [backup-simplify]: Simplify (+ 0 0) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.950 * [backup-simplify]: Simplify (- 0) into 0 8.950 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.952 * [backup-simplify]: Simplify (+ 0 0) into 0 8.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.952 * [backup-simplify]: Simplify (- 0) into 0 8.952 * [backup-simplify]: Simplify (+ 0 0) into 0 8.953 * [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))) 8.953 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 8.953 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 8.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 8.953 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.953 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.953 * [taylor]: Taking taylor expansion of M in n 8.953 * [backup-simplify]: Simplify M into M 8.953 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.953 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.953 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 8.953 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.953 * [taylor]: Taking taylor expansion of 1/4 in n 8.953 * [backup-simplify]: Simplify 1/4 into 1/4 8.953 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.953 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.953 * [taylor]: Taking taylor expansion of n in n 8.953 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify 1 into 1 8.954 * [backup-simplify]: Simplify (* 1 1) into 1 8.954 * [backup-simplify]: Simplify (/ 1 1) into 1 8.954 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.954 * [taylor]: Taking taylor expansion of l in n 8.954 * [backup-simplify]: Simplify l into l 8.954 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.954 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.954 * [taylor]: Taking taylor expansion of (* M n) in n 8.954 * [taylor]: Taking taylor expansion of M in n 8.954 * [backup-simplify]: Simplify M into M 8.954 * [taylor]: Taking taylor expansion of n in n 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.954 * [backup-simplify]: Simplify (* M 0) into 0 8.954 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.954 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.955 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.955 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.955 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.955 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.956 * [taylor]: Taking taylor expansion of 1/4 in M 8.956 * [backup-simplify]: Simplify 1/4 into 1/4 8.956 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.956 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.956 * [taylor]: Taking taylor expansion of 1/2 in M 8.957 * [backup-simplify]: Simplify 1/2 into 1/2 8.957 * [taylor]: Taking taylor expansion of 1/4 in M 8.957 * [backup-simplify]: Simplify 1/4 into 1/4 8.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.965 * [backup-simplify]: Simplify (+ 0 0) into 0 8.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.966 * [backup-simplify]: Simplify (- 0) into 0 8.966 * [backup-simplify]: Simplify (+ 0 0) into 0 8.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.970 * [backup-simplify]: Simplify (+ 0 0) into 0 8.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.971 * [backup-simplify]: Simplify (- 0) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [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 8.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.973 * [backup-simplify]: Simplify (+ 0 0) into 0 8.973 * [taylor]: Taking taylor expansion of 0 in n 8.973 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.976 * [backup-simplify]: Simplify (+ 0 0) into 0 8.976 * [backup-simplify]: Simplify (+ 0 0) into 0 8.976 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.976 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.976 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.976 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.976 * [taylor]: Taking taylor expansion of M in M 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.977 * [backup-simplify]: Simplify (/ 1 1) into 1 8.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.979 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.979 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.979 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.979 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.979 * [taylor]: Taking taylor expansion of M in M 8.979 * [backup-simplify]: Simplify 0 into 0 8.979 * [backup-simplify]: Simplify 1 into 1 8.979 * [backup-simplify]: Simplify (/ 1 1) into 1 8.979 * [taylor]: Taking taylor expansion of 0 in M 8.980 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.984 * [backup-simplify]: Simplify (+ 0 0) into 0 8.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.984 * [backup-simplify]: Simplify (- 0) into 0 8.985 * [backup-simplify]: Simplify (+ 0 0) into 0 8.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.989 * [backup-simplify]: Simplify (+ 0 0) into 0 8.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.989 * [backup-simplify]: Simplify (- 0) into 0 8.990 * [backup-simplify]: Simplify (+ 0 0) into 0 8.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 8.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.992 * [backup-simplify]: Simplify (+ 0 0) into 0 8.992 * [taylor]: Taking taylor expansion of 0 in n 8.992 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.995 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 8.995 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 8.996 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 8.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.996 * [backup-simplify]: Simplify (- 0) into 0 8.996 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 8.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 8.996 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.996 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.996 * [taylor]: Taking taylor expansion of M in M 8.996 * [backup-simplify]: Simplify 0 into 0 8.996 * [backup-simplify]: Simplify 1 into 1 8.997 * [backup-simplify]: Simplify (* 1 1) into 1 8.997 * [backup-simplify]: Simplify (/ 1 1) into 1 8.997 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.997 * [taylor]: Taking taylor expansion of l in M 8.997 * [backup-simplify]: Simplify l into l 8.997 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.998 * [backup-simplify]: Simplify (+ 1 0) into 1 8.998 * [taylor]: Taking taylor expansion of 1 in l 8.998 * [backup-simplify]: Simplify 1 into 1 8.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.000 * [backup-simplify]: Simplify (- 0) into 0 9.001 * [backup-simplify]: Simplify (+ 0 0) into 0 9.001 * [taylor]: Taking taylor expansion of 0 in M 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [taylor]: Taking taylor expansion of 0 in M 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (- 1) into -1 9.001 * [taylor]: Taking taylor expansion of -1 in l 9.001 * [backup-simplify]: Simplify -1 into -1 9.002 * [backup-simplify]: Simplify (- 1) into -1 9.002 * [taylor]: Taking taylor expansion of -1 in l 9.002 * [backup-simplify]: Simplify -1 into -1 9.002 * [taylor]: Taking taylor expansion of 1/4 in l 9.002 * [backup-simplify]: Simplify 1/4 into 1/4 9.002 * [taylor]: Taking taylor expansion of 1/2 in l 9.002 * [backup-simplify]: Simplify 1/2 into 1/2 9.002 * [taylor]: Taking taylor expansion of 1/4 in l 9.002 * [backup-simplify]: Simplify 1/4 into 1/4 9.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 9.006 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.007 * [backup-simplify]: Simplify (- 0) into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 9.012 * [backup-simplify]: Simplify (+ 0 0) into 0 9.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.012 * [backup-simplify]: Simplify (- 0) into 0 9.013 * [backup-simplify]: Simplify (+ 0 0) into 0 9.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 9.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [taylor]: Taking taylor expansion of 0 in n 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [taylor]: Taking taylor expansion of 0 in M 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 9.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 9.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 9.019 * [backup-simplify]: Simplify (+ 0 0) into 0 9.019 * [backup-simplify]: Simplify (+ 0 0) into 0 9.020 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.020 * [backup-simplify]: Simplify (- 0) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.021 * [taylor]: Taking taylor expansion of 0 in M 9.021 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.023 * [backup-simplify]: Simplify (- 0) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.024 * [taylor]: Taking taylor expansion of 0 in M 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [taylor]: Taking taylor expansion of 0 in M 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.026 * [backup-simplify]: Simplify (+ 0 0) into 0 9.026 * [taylor]: Taking taylor expansion of 0 in l 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.027 * [backup-simplify]: Simplify (- 0) into 0 9.027 * [taylor]: Taking taylor expansion of 0 in l 9.027 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (- 0) into 0 9.028 * [taylor]: Taking taylor expansion of 0 in l 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in l 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in l 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in l 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [taylor]: Taking taylor expansion of 0 in l 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify -1 into -1 9.029 * [backup-simplify]: Simplify -1 into -1 9.029 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 9.030 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 9.030 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 9.030 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 9.030 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 9.030 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 9.030 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 9.030 * [taylor]: Taking taylor expansion of (/ 1 M) in l 9.030 * [taylor]: Taking taylor expansion of M in l 9.030 * [backup-simplify]: Simplify M into M 9.030 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.030 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 9.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 9.030 * [taylor]: Taking taylor expansion of 1/2 in l 9.030 * [backup-simplify]: Simplify 1/2 into 1/2 9.030 * [taylor]: Taking taylor expansion of (/ 1 m) in l 9.030 * [taylor]: Taking taylor expansion of m in l 9.030 * [backup-simplify]: Simplify m into m 9.031 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 9.031 * [taylor]: Taking taylor expansion of 1/2 in l 9.031 * [backup-simplify]: Simplify 1/2 into 1/2 9.031 * [taylor]: Taking taylor expansion of (/ 1 n) in l 9.031 * [taylor]: Taking taylor expansion of n in l 9.031 * [backup-simplify]: Simplify n into n 9.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.031 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 9.031 * [taylor]: Taking taylor expansion of (/ 1 M) in l 9.031 * [taylor]: Taking taylor expansion of M in l 9.031 * [backup-simplify]: Simplify M into M 9.031 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.031 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 9.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 9.031 * [taylor]: Taking taylor expansion of 1/2 in l 9.031 * [backup-simplify]: Simplify 1/2 into 1/2 9.031 * [taylor]: Taking taylor expansion of (/ 1 m) in l 9.031 * [taylor]: Taking taylor expansion of m in l 9.031 * [backup-simplify]: Simplify m into m 9.031 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 9.031 * [taylor]: Taking taylor expansion of 1/2 in l 9.031 * [backup-simplify]: Simplify 1/2 into 1/2 9.031 * [taylor]: Taking taylor expansion of (/ 1 n) in l 9.031 * [taylor]: Taking taylor expansion of n in l 9.031 * [backup-simplify]: Simplify n into n 9.031 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.031 * [taylor]: Taking taylor expansion of (/ -1 l) in l 9.031 * [taylor]: Taking taylor expansion of -1 in l 9.031 * [backup-simplify]: Simplify -1 into -1 9.031 * [taylor]: Taking taylor expansion of l in l 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (/ -1 1) into -1 9.032 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 9.032 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 9.032 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 9.032 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 9.032 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.032 * [taylor]: Taking taylor expansion of M in M 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.033 * [taylor]: Taking taylor expansion of 1/2 in M 9.033 * [backup-simplify]: Simplify 1/2 into 1/2 9.033 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.033 * [taylor]: Taking taylor expansion of m in M 9.033 * [backup-simplify]: Simplify m into m 9.033 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.033 * [taylor]: Taking taylor expansion of 1/2 in M 9.033 * [backup-simplify]: Simplify 1/2 into 1/2 9.033 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.033 * [taylor]: Taking taylor expansion of n in M 9.033 * [backup-simplify]: Simplify n into n 9.033 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.033 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 9.033 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.033 * [taylor]: Taking taylor expansion of M in M 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 1 into 1 9.033 * [backup-simplify]: Simplify (/ 1 1) into 1 9.033 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 9.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 9.033 * [taylor]: Taking taylor expansion of 1/2 in M 9.033 * [backup-simplify]: Simplify 1/2 into 1/2 9.033 * [taylor]: Taking taylor expansion of (/ 1 m) in M 9.033 * [taylor]: Taking taylor expansion of m in M 9.033 * [backup-simplify]: Simplify m into m 9.033 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 9.034 * [taylor]: Taking taylor expansion of 1/2 in M 9.034 * [backup-simplify]: Simplify 1/2 into 1/2 9.034 * [taylor]: Taking taylor expansion of (/ 1 n) in M 9.034 * [taylor]: Taking taylor expansion of n in M 9.034 * [backup-simplify]: Simplify n into n 9.034 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.034 * [taylor]: Taking taylor expansion of (/ -1 l) in M 9.034 * [taylor]: Taking taylor expansion of -1 in M 9.034 * [backup-simplify]: Simplify -1 into -1 9.034 * [taylor]: Taking taylor expansion of l in M 9.034 * [backup-simplify]: Simplify l into l 9.034 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 9.034 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 9.034 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 9.034 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 9.034 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 9.034 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.034 * [taylor]: Taking taylor expansion of M in n 9.034 * [backup-simplify]: Simplify M into M 9.034 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.034 * [taylor]: Taking taylor expansion of 1/2 in n 9.034 * [backup-simplify]: Simplify 1/2 into 1/2 9.034 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.034 * [taylor]: Taking taylor expansion of m in n 9.034 * [backup-simplify]: Simplify m into m 9.034 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.034 * [taylor]: Taking taylor expansion of 1/2 in n 9.034 * [backup-simplify]: Simplify 1/2 into 1/2 9.034 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.034 * [taylor]: Taking taylor expansion of n in n 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.035 * [backup-simplify]: Simplify (/ 1 1) into 1 9.035 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 9.035 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.035 * [taylor]: Taking taylor expansion of M in n 9.035 * [backup-simplify]: Simplify M into M 9.035 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.035 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 9.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 9.035 * [taylor]: Taking taylor expansion of 1/2 in n 9.035 * [backup-simplify]: Simplify 1/2 into 1/2 9.035 * [taylor]: Taking taylor expansion of (/ 1 m) in n 9.035 * [taylor]: Taking taylor expansion of m in n 9.035 * [backup-simplify]: Simplify m into m 9.035 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 9.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.035 * [taylor]: Taking taylor expansion of 1/2 in n 9.035 * [backup-simplify]: Simplify 1/2 into 1/2 9.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.035 * [taylor]: Taking taylor expansion of n in n 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (/ 1 1) into 1 9.036 * [taylor]: Taking taylor expansion of (/ -1 l) in n 9.036 * [taylor]: Taking taylor expansion of -1 in n 9.036 * [backup-simplify]: Simplify -1 into -1 9.036 * [taylor]: Taking taylor expansion of l in n 9.036 * [backup-simplify]: Simplify l into l 9.036 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 9.036 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 9.036 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 9.036 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 9.036 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.036 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.036 * [taylor]: Taking taylor expansion of M in m 9.036 * [backup-simplify]: Simplify M into M 9.036 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.036 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.036 * [taylor]: Taking taylor expansion of 1/2 in m 9.036 * [backup-simplify]: Simplify 1/2 into 1/2 9.036 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.036 * [taylor]: Taking taylor expansion of m in m 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.037 * [backup-simplify]: Simplify (/ 1 1) into 1 9.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.037 * [taylor]: Taking taylor expansion of 1/2 in m 9.037 * [backup-simplify]: Simplify 1/2 into 1/2 9.037 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.037 * [taylor]: Taking taylor expansion of n in m 9.037 * [backup-simplify]: Simplify n into n 9.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.037 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.037 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.037 * [taylor]: Taking taylor expansion of M in m 9.037 * [backup-simplify]: Simplify M into M 9.037 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.037 * [taylor]: Taking taylor expansion of 1/2 in m 9.037 * [backup-simplify]: Simplify 1/2 into 1/2 9.037 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.037 * [taylor]: Taking taylor expansion of m in m 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.037 * [backup-simplify]: Simplify (/ 1 1) into 1 9.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.038 * [taylor]: Taking taylor expansion of 1/2 in m 9.038 * [backup-simplify]: Simplify 1/2 into 1/2 9.038 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.038 * [taylor]: Taking taylor expansion of n in m 9.038 * [backup-simplify]: Simplify n into n 9.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.038 * [taylor]: Taking taylor expansion of (/ -1 l) in m 9.038 * [taylor]: Taking taylor expansion of -1 in m 9.038 * [backup-simplify]: Simplify -1 into -1 9.038 * [taylor]: Taking taylor expansion of l in m 9.038 * [backup-simplify]: Simplify l into l 9.038 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 9.038 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 9.038 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 9.038 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 9.038 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.038 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.038 * [taylor]: Taking taylor expansion of M in m 9.038 * [backup-simplify]: Simplify M into M 9.038 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.038 * [taylor]: Taking taylor expansion of 1/2 in m 9.038 * [backup-simplify]: Simplify 1/2 into 1/2 9.038 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.038 * [taylor]: Taking taylor expansion of m in m 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.039 * [taylor]: Taking taylor expansion of 1/2 in m 9.039 * [backup-simplify]: Simplify 1/2 into 1/2 9.039 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.039 * [taylor]: Taking taylor expansion of n in m 9.039 * [backup-simplify]: Simplify n into n 9.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.039 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 9.039 * [taylor]: Taking taylor expansion of (/ 1 M) in m 9.039 * [taylor]: Taking taylor expansion of M in m 9.039 * [backup-simplify]: Simplify M into M 9.039 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.039 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 9.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 9.039 * [taylor]: Taking taylor expansion of 1/2 in m 9.039 * [backup-simplify]: Simplify 1/2 into 1/2 9.039 * [taylor]: Taking taylor expansion of (/ 1 m) in m 9.039 * [taylor]: Taking taylor expansion of m in m 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 9.040 * [taylor]: Taking taylor expansion of 1/2 in m 9.040 * [backup-simplify]: Simplify 1/2 into 1/2 9.040 * [taylor]: Taking taylor expansion of (/ 1 n) in m 9.040 * [taylor]: Taking taylor expansion of n in m 9.040 * [backup-simplify]: Simplify n into n 9.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.040 * [taylor]: Taking taylor expansion of (/ -1 l) in m 9.040 * [taylor]: Taking taylor expansion of -1 in m 9.040 * [backup-simplify]: Simplify -1 into -1 9.040 * [taylor]: Taking taylor expansion of l in m 9.040 * [backup-simplify]: Simplify l into l 9.040 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 9.040 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.041 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.041 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.041 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.042 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.042 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.042 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.043 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.043 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 9.043 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.043 * [taylor]: Taking taylor expansion of 1/4 in n 9.044 * [backup-simplify]: Simplify 1/4 into 1/4 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.045 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.045 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 9.045 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.047 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.047 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 9.047 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 9.047 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 9.047 * [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)) 9.047 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 9.047 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 9.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 9.047 * [taylor]: Taking taylor expansion of 1/2 in n 9.047 * [backup-simplify]: Simplify 1/2 into 1/2 9.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 9.047 * [taylor]: Taking taylor expansion of n in n 9.047 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (/ 1 1) into 1 9.048 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.048 * [taylor]: Taking taylor expansion of M in n 9.048 * [backup-simplify]: Simplify M into M 9.048 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.050 * [backup-simplify]: Simplify (+ 0 0) into 0 9.050 * [backup-simplify]: Simplify (- 0) into 0 9.050 * [backup-simplify]: Simplify (+ 0 0) into 0 9.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 9.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 9.052 * [backup-simplify]: Simplify (+ 0 0) into 0 9.052 * [backup-simplify]: Simplify (- 0) into 0 9.052 * [backup-simplify]: Simplify (+ 0 0) into 0 9.053 * [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))) 9.053 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 9.053 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 9.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 9.054 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 9.054 * [taylor]: Taking taylor expansion of (pow M 2) in n 9.054 * [taylor]: Taking taylor expansion of M in n 9.054 * [backup-simplify]: Simplify M into M 9.054 * [backup-simplify]: Simplify (* M M) into (pow M 2) 9.054 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 9.054 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 9.054 * [taylor]: Taking taylor expansion of 1/4 in n 9.054 * [backup-simplify]: Simplify 1/4 into 1/4 9.054 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 9.054 * [taylor]: Taking taylor expansion of (pow n 2) in n 9.054 * [taylor]: Taking taylor expansion of n in n 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (* 1 1) into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 9.054 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 9.054 * [taylor]: Taking taylor expansion of (* M n) in n 9.054 * [taylor]: Taking taylor expansion of M in n 9.054 * [backup-simplify]: Simplify M into M 9.054 * [taylor]: Taking taylor expansion of n in n 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (* M 0) into 0 9.055 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 9.055 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.055 * [taylor]: Taking taylor expansion of (/ 1 l) in n 9.055 * [taylor]: Taking taylor expansion of l in n 9.055 * [backup-simplify]: Simplify l into l 9.055 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 9.055 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 9.055 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 9.056 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 9.056 * [taylor]: Taking taylor expansion of 1/4 in M 9.056 * [backup-simplify]: Simplify 1/4 into 1/4 9.056 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.056 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.056 * [taylor]: Taking taylor expansion of 1/2 in M 9.056 * [backup-simplify]: Simplify 1/2 into 1/2 9.056 * [taylor]: Taking taylor expansion of 1/4 in M 9.056 * [backup-simplify]: Simplify 1/4 into 1/4 9.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.058 * [backup-simplify]: Simplify (+ 0 0) into 0 9.059 * [backup-simplify]: Simplify (- 0) into 0 9.059 * [backup-simplify]: Simplify (+ 0 0) into 0 9.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (- 0) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [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 9.062 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [taylor]: Taking taylor expansion of 0 in n 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.064 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.064 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 9.064 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.064 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.064 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.064 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.064 * [taylor]: Taking taylor expansion of M in M 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 1 into 1 9.065 * [backup-simplify]: Simplify (/ 1 1) into 1 9.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.066 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 9.066 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 9.066 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 9.066 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.066 * [taylor]: Taking taylor expansion of M in M 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [backup-simplify]: Simplify (/ 1 1) into 1 9.066 * [taylor]: Taking taylor expansion of 0 in M 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.069 * [backup-simplify]: Simplify (+ 0 0) into 0 9.069 * [backup-simplify]: Simplify (- 0) into 0 9.069 * [backup-simplify]: Simplify (+ 0 0) into 0 9.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (- 0) into 0 9.073 * [backup-simplify]: Simplify (+ 0 0) into 0 9.074 * [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 9.074 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.075 * [taylor]: Taking taylor expansion of 0 in n 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 9.077 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 9.078 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 9.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.078 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 9.078 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 9.078 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 9.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 9.078 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 9.078 * [taylor]: Taking taylor expansion of (pow M 2) in M 9.078 * [taylor]: Taking taylor expansion of M in M 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 1 into 1 9.078 * [backup-simplify]: Simplify (* 1 1) into 1 9.079 * [backup-simplify]: Simplify (/ 1 1) into 1 9.079 * [taylor]: Taking taylor expansion of (/ 1 l) in M 9.079 * [taylor]: Taking taylor expansion of l in M 9.079 * [backup-simplify]: Simplify l into l 9.079 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 9.079 * [backup-simplify]: Simplify (+ 1 0) into 1 9.079 * [taylor]: Taking taylor expansion of 1 in l 9.079 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.081 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [taylor]: Taking taylor expansion of 0 in M 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [taylor]: Taking taylor expansion of 0 in M 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify (- 1) into -1 9.081 * [taylor]: Taking taylor expansion of -1 in l 9.081 * [backup-simplify]: Simplify -1 into -1 9.082 * [backup-simplify]: Simplify (- 1) into -1 9.082 * [taylor]: Taking taylor expansion of -1 in l 9.082 * [backup-simplify]: Simplify -1 into -1 9.082 * [taylor]: Taking taylor expansion of 1/4 in l 9.082 * [backup-simplify]: Simplify 1/4 into 1/4 9.082 * [taylor]: Taking taylor expansion of 1/2 in l 9.082 * [backup-simplify]: Simplify 1/2 into 1/2 9.082 * [taylor]: Taking taylor expansion of 1/4 in l 9.082 * [backup-simplify]: Simplify 1/4 into 1/4 9.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (- 0) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.093 * [backup-simplify]: Simplify (- 0) into 0 9.093 * [backup-simplify]: Simplify (+ 0 0) into 0 9.095 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 9.096 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 9.096 * [backup-simplify]: Simplify (+ 0 0) into 0 9.096 * [taylor]: Taking taylor expansion of 0 in n 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [taylor]: Taking taylor expansion of 0 in M 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 9.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 9.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.100 * [backup-simplify]: Simplify (+ 0 0) into 0 9.101 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 9.101 * [backup-simplify]: Simplify (+ 0 0) into 0 9.102 * [backup-simplify]: Simplify (- 0) into 0 9.102 * [backup-simplify]: Simplify (+ 0 0) into 0 9.102 * [taylor]: Taking taylor expansion of 0 in M 9.102 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 9.105 * [backup-simplify]: Simplify (- 0) into 0 9.105 * [backup-simplify]: Simplify (+ 0 0) into 0 9.105 * [taylor]: Taking taylor expansion of 0 in M 9.105 * [backup-simplify]: Simplify 0 into 0 9.105 * [taylor]: Taking taylor expansion of 0 in M 9.105 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify (+ 0 0) into 0 9.107 * [taylor]: Taking taylor expansion of 0 in l 9.107 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.109 * [backup-simplify]: Simplify (- 0) into 0 9.109 * [taylor]: Taking taylor expansion of 0 in l 9.109 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.110 * [backup-simplify]: Simplify (- 0) into 0 9.110 * [taylor]: Taking taylor expansion of 0 in l 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [taylor]: Taking taylor expansion of 0 in l 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [taylor]: Taking taylor expansion of 0 in l 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [taylor]: Taking taylor expansion of 0 in l 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [taylor]: Taking taylor expansion of 0 in l 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify -1 into -1 9.111 * [backup-simplify]: Simplify -1 into -1 9.112 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 9.112 * * * [progress]: simplifying candidates 9.112 * * * * [progress]: [ 1 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.112 * * * * [progress]: [ 2 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.112 * * * * [progress]: [ 3 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) 1))) 1))> 9.112 * * * * [progress]: [ 4 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.112 * * * * [progress]: [ 5 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.112 * * * * [progress]: [ 6 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))) (cbrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (cbrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.112 * * * * [progress]: [ 7 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))) (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.112 * * * * [progress]: [ 8 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))) (sqrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 9 / 28 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))) 1))> 9.113 * * * * [progress]: [ 10 / 28 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 11 / 28 ] simplifiying candidate # 9.113 * * * * [progress]: [ 12 / 28 ] simplifiying candidate #real (real->posit16 (log1p (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 13 / 28 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 14 / 28 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) l))))) 1))> 9.113 * * * * [progress]: [ 15 / 28 ] simplifiying candidate #real (real->posit16 (pow (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) 1))))) 1))> 9.113 * * * * [progress]: [ 16 / 28 ] simplifiying candidate #real (real->posit16 (exp (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 17 / 28 ] simplifiying candidate #real (real->posit16 (log (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 18 / 28 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 19 / 28 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 20 / 28 ] simplifiying candidate #real (real->posit16 (* (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.113 * * * * [progress]: [ 21 / 28 ] simplifiying candidate #real (real->posit16 (* 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))))) 1))> 9.113 * * * * [progress]: [ 22 / 28 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))))) 1))> 9.114 * * * * [progress]: [ 23 / 28 ] simplifiying candidate # 9.114 * * * * [progress]: [ 24 / 28 ] simplifiying candidate # 9.114 * * * * [progress]: [ 25 / 28 ] simplifiying candidate # 9.114 * * * * [progress]: [ 26 / 28 ] simplifiying candidate #real (real->posit16 (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))))))) 1))> 9.114 * * * * [progress]: [ 27 / 28 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n))))))) 1))> 9.114 * * * * [progress]: [ 28 / 28 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n))))))) 1))> 9.115 * [simplify]: Simplifying (expm1 (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (log1p (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (log (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (exp (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (* (cbrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))) (cbrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))), (cbrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (* (* (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))) (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (sqrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (sqrt (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (real->posit16 (posit16->real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)))), (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))), (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))), (- (pow M 2) (+ (* m M) (* M n))), (- (pow M 2) (+ (* m M) (* M n))), (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))), (- (pow M 2) (+ (* m M) (* M n))), (- (pow M 2) (+ (* m M) (* M n))) 9.116 * * [simplify]: iteration 1: (44 enodes) 9.138 * * [simplify]: iteration 2: (146 enodes) 9.181 * * [simplify]: iteration 3: (225 enodes) 9.253 * * [simplify]: iteration 4: (478 enodes) 9.416 * * [simplify]: iteration 5: (1380 enodes) 11.366 * * [simplify]: Extracting #0: cost 12 inf + 0 11.367 * * [simplify]: Extracting #1: cost 149 inf + 0 11.373 * * [simplify]: Extracting #2: cost 973 inf + 1358 11.385 * * [simplify]: Extracting #3: cost 1438 inf + 7508 11.413 * * [simplify]: Extracting #4: cost 1229 inf + 58706 11.522 * * [simplify]: Extracting #5: cost 370 inf + 355545 11.742 * * [simplify]: Extracting #6: cost 0 inf + 463025 12.009 * * [simplify]: Extracting #7: cost 0 inf + 460980 12.223 * [simplify]: Simplified to (expm1 (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (log1p (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (log (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))), (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (* (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))), (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (real->posit16 (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (expm1 (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (log1p (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (log (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (exp (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))), (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (* (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (* (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))), (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (real->posit16 (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)), (fma m (fma n 1/2 (* m 1/4)) l), (* M (- (- M m) n)), (* M (- (- M m) n)), (fma m (fma n 1/2 (* m 1/4)) l), (* M (- (- M m) n)), (* M (- (- M m) n)) 12.228 * * * [progress]: adding candidates to table 12.883 * * [progress]: iteration 4 / 4 12.883 * * * [progress]: picking best candidate 12.907 * * * * [pick]: Picked #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 12.907 * * * [progress]: localizing error 12.966 * * * [progress]: generating rewritten candidates 12.966 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 12.990 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 12.991 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 12.991 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 13.002 * * * [progress]: generating series expansions 13.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 13.002 * [backup-simplify]: Simplify (cos (- (* K (/ (+ m n) 2)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 13.002 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 13.002 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 13.002 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 13.002 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 13.002 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 13.002 * [taylor]: Taking taylor expansion of 1/2 in M 13.002 * [backup-simplify]: Simplify 1/2 into 1/2 13.002 * [taylor]: Taking taylor expansion of (* K n) in M 13.002 * [taylor]: Taking taylor expansion of K in M 13.002 * [backup-simplify]: Simplify K into K 13.002 * [taylor]: Taking taylor expansion of n in M 13.002 * [backup-simplify]: Simplify n into n 13.002 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 13.002 * [taylor]: Taking taylor expansion of 1/2 in M 13.002 * [backup-simplify]: Simplify 1/2 into 1/2 13.002 * [taylor]: Taking taylor expansion of (* K m) in M 13.002 * [taylor]: Taking taylor expansion of K in M 13.002 * [backup-simplify]: Simplify K into K 13.002 * [taylor]: Taking taylor expansion of m in M 13.002 * [backup-simplify]: Simplify m into m 13.002 * [taylor]: Taking taylor expansion of M in M 13.002 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify 1 into 1 13.002 * [backup-simplify]: Simplify (* K n) into (* K n) 13.002 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 13.002 * [backup-simplify]: Simplify (* K m) into (* K m) 13.002 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 13.003 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 13.003 * [backup-simplify]: Simplify (- 0) into 0 13.003 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 13.003 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 13.003 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 13.004 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 13.004 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 13.004 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 13.004 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 13.004 * [taylor]: Taking taylor expansion of 1/2 in n 13.004 * [backup-simplify]: Simplify 1/2 into 1/2 13.004 * [taylor]: Taking taylor expansion of (* K n) in n 13.004 * [taylor]: Taking taylor expansion of K in n 13.004 * [backup-simplify]: Simplify K into K 13.004 * [taylor]: Taking taylor expansion of n in n 13.004 * [backup-simplify]: Simplify 0 into 0 13.004 * [backup-simplify]: Simplify 1 into 1 13.004 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 13.004 * [taylor]: Taking taylor expansion of 1/2 in n 13.004 * [backup-simplify]: Simplify 1/2 into 1/2 13.004 * [taylor]: Taking taylor expansion of (* K m) in n 13.004 * [taylor]: Taking taylor expansion of K in n 13.004 * [backup-simplify]: Simplify K into K 13.004 * [taylor]: Taking taylor expansion of m in n 13.004 * [backup-simplify]: Simplify m into m 13.004 * [taylor]: Taking taylor expansion of M in n 13.004 * [backup-simplify]: Simplify M into M 13.004 * [backup-simplify]: Simplify (* K 0) into 0 13.004 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.004 * [backup-simplify]: Simplify (* K m) into (* K m) 13.004 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 13.004 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 13.004 * [backup-simplify]: Simplify (- M) into (- M) 13.004 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 13.004 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 13.005 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 13.005 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 13.005 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 13.005 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 13.005 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 13.005 * [taylor]: Taking taylor expansion of 1/2 in m 13.005 * [backup-simplify]: Simplify 1/2 into 1/2 13.005 * [taylor]: Taking taylor expansion of (* K n) in m 13.005 * [taylor]: Taking taylor expansion of K in m 13.005 * [backup-simplify]: Simplify K into K 13.005 * [taylor]: Taking taylor expansion of n in m 13.005 * [backup-simplify]: Simplify n into n 13.005 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 13.005 * [taylor]: Taking taylor expansion of 1/2 in m 13.005 * [backup-simplify]: Simplify 1/2 into 1/2 13.005 * [taylor]: Taking taylor expansion of (* K m) in m 13.005 * [taylor]: Taking taylor expansion of K in m 13.005 * [backup-simplify]: Simplify K into K 13.005 * [taylor]: Taking taylor expansion of m in m 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [taylor]: Taking taylor expansion of M in m 13.005 * [backup-simplify]: Simplify M into M 13.005 * [backup-simplify]: Simplify (* K n) into (* K n) 13.005 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 13.005 * [backup-simplify]: Simplify (* K 0) into 0 13.005 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.005 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 13.005 * [backup-simplify]: Simplify (- M) into (- M) 13.005 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 13.006 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 13.006 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 13.006 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 13.006 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 13.006 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 13.006 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.006 * [taylor]: Taking taylor expansion of 1/2 in K 13.006 * [backup-simplify]: Simplify 1/2 into 1/2 13.006 * [taylor]: Taking taylor expansion of (* K n) in K 13.006 * [taylor]: Taking taylor expansion of K in K 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify 1 into 1 13.006 * [taylor]: Taking taylor expansion of n in K 13.006 * [backup-simplify]: Simplify n into n 13.006 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 13.006 * [taylor]: Taking taylor expansion of 1/2 in K 13.006 * [backup-simplify]: Simplify 1/2 into 1/2 13.006 * [taylor]: Taking taylor expansion of (* K m) in K 13.006 * [taylor]: Taking taylor expansion of K in K 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify 1 into 1 13.006 * [taylor]: Taking taylor expansion of m in K 13.006 * [backup-simplify]: Simplify m into m 13.006 * [taylor]: Taking taylor expansion of M in K 13.006 * [backup-simplify]: Simplify M into M 13.006 * [backup-simplify]: Simplify (* 0 n) into 0 13.006 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.006 * [backup-simplify]: Simplify (* 0 m) into 0 13.007 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.007 * [backup-simplify]: Simplify (+ 0 0) into 0 13.007 * [backup-simplify]: Simplify (- M) into (- M) 13.007 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.007 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.007 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.007 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 13.007 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 13.007 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 13.007 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.007 * [taylor]: Taking taylor expansion of 1/2 in K 13.007 * [backup-simplify]: Simplify 1/2 into 1/2 13.007 * [taylor]: Taking taylor expansion of (* K n) 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 13.007 * [taylor]: Taking taylor expansion of n in K 13.007 * [backup-simplify]: Simplify n into n 13.007 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 13.007 * [taylor]: Taking taylor expansion of 1/2 in K 13.007 * [backup-simplify]: Simplify 1/2 into 1/2 13.007 * [taylor]: Taking taylor expansion of (* K m) 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 13.007 * [taylor]: Taking taylor expansion of m in K 13.007 * [backup-simplify]: Simplify m into m 13.007 * [taylor]: Taking taylor expansion of M in K 13.007 * [backup-simplify]: Simplify M into M 13.007 * [backup-simplify]: Simplify (* 0 n) into 0 13.008 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.008 * [backup-simplify]: Simplify (* 0 m) into 0 13.008 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.008 * [backup-simplify]: Simplify (+ 0 0) into 0 13.008 * [backup-simplify]: Simplify (- M) into (- M) 13.008 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.008 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.008 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.008 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.008 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.009 * [backup-simplify]: Simplify (- 0) into 0 13.009 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.009 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.009 * [taylor]: Taking taylor expansion of (- M) in m 13.009 * [taylor]: Taking taylor expansion of M in m 13.009 * [backup-simplify]: Simplify M into M 13.009 * [backup-simplify]: Simplify (- M) into (- M) 13.009 * [backup-simplify]: Simplify (- M) into (- M) 13.009 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.009 * [backup-simplify]: Simplify (- M) into (- M) 13.009 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.009 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.009 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.009 * [backup-simplify]: Simplify (- 0) into 0 13.009 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.009 * [taylor]: Taking taylor expansion of (cos (- M)) in n 13.009 * [taylor]: Taking taylor expansion of (- M) in n 13.009 * [taylor]: Taking taylor expansion of M in n 13.009 * [backup-simplify]: Simplify M into M 13.009 * [backup-simplify]: Simplify (- M) into (- M) 13.009 * [backup-simplify]: Simplify (- M) into (- M) 13.009 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.009 * [backup-simplify]: Simplify (- M) into (- M) 13.010 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.010 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.010 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.010 * [backup-simplify]: Simplify (- 0) into 0 13.010 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.010 * [taylor]: Taking taylor expansion of (cos (- M)) in M 13.010 * [taylor]: Taking taylor expansion of (- M) in M 13.010 * [taylor]: Taking taylor expansion of M in M 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 1 into 1 13.010 * [backup-simplify]: Simplify (- 0) into 0 13.010 * [backup-simplify]: Simplify (- 1) into -1 13.010 * [backup-simplify]: Simplify 1 into 1 13.011 * [backup-simplify]: Simplify (+ 0) into 0 13.011 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 13.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.012 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 13.012 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 13.012 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 13.012 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 13.012 * [backup-simplify]: Simplify (- 0) into 0 13.013 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 13.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 13.013 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 13.013 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 13.013 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 13.013 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 13.013 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 13.013 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 13.013 * [taylor]: Taking taylor expansion of 1/2 in m 13.013 * [backup-simplify]: Simplify 1/2 into 1/2 13.013 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 13.014 * [taylor]: Taking taylor expansion of (sin (- M)) in m 13.014 * [taylor]: Taking taylor expansion of (- M) in m 13.014 * [taylor]: Taking taylor expansion of M in m 13.014 * [backup-simplify]: Simplify M into M 13.014 * [backup-simplify]: Simplify (- M) into (- M) 13.014 * [backup-simplify]: Simplify (- M) into (- M) 13.014 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.014 * [backup-simplify]: Simplify (- M) into (- M) 13.014 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.014 * [taylor]: Taking taylor expansion of n in m 13.014 * [backup-simplify]: Simplify n into n 13.014 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 13.014 * [taylor]: Taking taylor expansion of 1/2 in m 13.014 * [backup-simplify]: Simplify 1/2 into 1/2 13.014 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 13.014 * [taylor]: Taking taylor expansion of m in m 13.014 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [taylor]: Taking taylor expansion of (sin (- M)) in m 13.014 * [taylor]: Taking taylor expansion of (- M) in m 13.014 * [taylor]: Taking taylor expansion of M in m 13.014 * [backup-simplify]: Simplify M into M 13.014 * [backup-simplify]: Simplify (- M) into (- M) 13.014 * [backup-simplify]: Simplify (- M) into (- M) 13.014 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.014 * [backup-simplify]: Simplify (- M) into (- M) 13.014 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.014 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.014 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.014 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.014 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 13.014 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 13.014 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.014 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.014 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.014 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 13.015 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.015 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 13.015 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 13.015 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 13.015 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 13.015 * [taylor]: Taking taylor expansion of 1/2 in n 13.015 * [backup-simplify]: Simplify 1/2 into 1/2 13.015 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 13.015 * [taylor]: Taking taylor expansion of (sin (- M)) in n 13.015 * [taylor]: Taking taylor expansion of (- M) in n 13.015 * [taylor]: Taking taylor expansion of M in n 13.015 * [backup-simplify]: Simplify M into M 13.015 * [backup-simplify]: Simplify (- M) into (- M) 13.015 * [backup-simplify]: Simplify (- M) into (- M) 13.015 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.015 * [backup-simplify]: Simplify (- M) into (- M) 13.015 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.015 * [taylor]: Taking taylor expansion of n in n 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.015 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.015 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.015 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.016 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.016 * [backup-simplify]: Simplify (- 0) into 0 13.016 * [taylor]: Taking taylor expansion of 0 in M 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify (+ 0) into 0 13.020 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 13.020 * [backup-simplify]: Simplify (- 0) into 0 13.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.021 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 13.021 * [backup-simplify]: Simplify (- 0) into 0 13.022 * [backup-simplify]: Simplify (+ 0 0) into 0 13.022 * [taylor]: Taking taylor expansion of 0 in n 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [taylor]: Taking taylor expansion of 0 in M 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify (+ 0) into 0 13.022 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 13.023 * [backup-simplify]: Simplify (- 0) into 0 13.023 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.023 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 13.024 * [backup-simplify]: Simplify (- 0) into 0 13.024 * [backup-simplify]: Simplify (+ 0 0) into 0 13.024 * [taylor]: Taking taylor expansion of 0 in M 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify (+ 0) into 0 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 13.025 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 13.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 13.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 13.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 13.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 13.027 * [backup-simplify]: Simplify (+ 0 0) into 0 13.028 * [backup-simplify]: Simplify (- 0) into 0 13.028 * [backup-simplify]: Simplify (+ 0 0) into 0 13.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.029 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 13.029 * [backup-simplify]: Simplify (- 0) into 0 13.029 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 13.029 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 13.029 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 13.029 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 13.030 * [taylor]: Taking taylor expansion of 1/8 in m 13.030 * [backup-simplify]: Simplify 1/8 into 1/8 13.030 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 13.030 * [taylor]: Taking taylor expansion of (pow m 2) in m 13.030 * [taylor]: Taking taylor expansion of m in m 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 1 into 1 13.030 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.030 * [taylor]: Taking taylor expansion of (- M) in m 13.030 * [taylor]: Taking taylor expansion of M in m 13.030 * [backup-simplify]: Simplify M into M 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.030 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 13.030 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 13.030 * [taylor]: Taking taylor expansion of 1/8 in m 13.030 * [backup-simplify]: Simplify 1/8 into 1/8 13.030 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 13.030 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.030 * [taylor]: Taking taylor expansion of (- M) in m 13.030 * [taylor]: Taking taylor expansion of M in m 13.030 * [backup-simplify]: Simplify M into M 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.030 * [taylor]: Taking taylor expansion of (pow n 2) in m 13.030 * [taylor]: Taking taylor expansion of n in m 13.030 * [backup-simplify]: Simplify n into n 13.030 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 13.030 * [taylor]: Taking taylor expansion of 1/4 in m 13.030 * [backup-simplify]: Simplify 1/4 into 1/4 13.030 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 13.030 * [taylor]: Taking taylor expansion of m in m 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 1 into 1 13.030 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 13.030 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.030 * [taylor]: Taking taylor expansion of (- M) in m 13.030 * [taylor]: Taking taylor expansion of M in m 13.030 * [backup-simplify]: Simplify M into M 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.030 * [backup-simplify]: Simplify (- M) into (- M) 13.030 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.030 * [taylor]: Taking taylor expansion of n in m 13.030 * [backup-simplify]: Simplify n into n 13.030 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.031 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.031 * [backup-simplify]: Simplify (- 0) into 0 13.031 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.031 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.031 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 13.031 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 13.031 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.031 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.032 * [backup-simplify]: Simplify (- 0) into 0 13.032 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.032 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 13.032 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 13.032 * [backup-simplify]: Simplify (* 1/4 0) into 0 13.032 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 13.032 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 13.033 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 13.033 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 13.033 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 13.033 * [taylor]: Taking taylor expansion of 1/8 in n 13.033 * [backup-simplify]: Simplify 1/8 into 1/8 13.033 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 13.033 * [taylor]: Taking taylor expansion of (cos (- M)) in n 13.033 * [taylor]: Taking taylor expansion of (- M) in n 13.033 * [taylor]: Taking taylor expansion of M in n 13.033 * [backup-simplify]: Simplify M into M 13.033 * [backup-simplify]: Simplify (- M) into (- M) 13.033 * [backup-simplify]: Simplify (- M) into (- M) 13.033 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.033 * [backup-simplify]: Simplify (- M) into (- M) 13.033 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.033 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.033 * [taylor]: Taking taylor expansion of n in n 13.033 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify 1 into 1 13.033 * [backup-simplify]: Simplify (+ 0) into 0 13.033 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 13.034 * [backup-simplify]: Simplify (- 0) into 0 13.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.034 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 13.035 * [backup-simplify]: Simplify (+ 0 0) into 0 13.035 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 13.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 13.035 * [backup-simplify]: Simplify (+ 0) into 0 13.036 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 13.036 * [backup-simplify]: Simplify (- 0) into 0 13.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.037 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 13.037 * [backup-simplify]: Simplify (+ 0 0) into 0 13.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 13.038 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 13.038 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 13.038 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 13.038 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 13.038 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 13.038 * [taylor]: Taking taylor expansion of 1/2 in n 13.038 * [backup-simplify]: Simplify 1/2 into 1/2 13.038 * [taylor]: Taking taylor expansion of (sin (- M)) in n 13.038 * [taylor]: Taking taylor expansion of (- M) in n 13.038 * [taylor]: Taking taylor expansion of M in n 13.038 * [backup-simplify]: Simplify M into M 13.038 * [backup-simplify]: Simplify (- M) into (- M) 13.038 * [backup-simplify]: Simplify (- M) into (- M) 13.038 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.038 * [backup-simplify]: Simplify (- M) into (- M) 13.038 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.038 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.038 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.038 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.038 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 13.038 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 13.038 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 13.038 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 13.038 * [taylor]: Taking taylor expansion of 1/2 in M 13.038 * [backup-simplify]: Simplify 1/2 into 1/2 13.038 * [taylor]: Taking taylor expansion of (sin (- M)) in M 13.038 * [taylor]: Taking taylor expansion of (- M) in M 13.038 * [taylor]: Taking taylor expansion of M in M 13.038 * [backup-simplify]: Simplify 0 into 0 13.038 * [backup-simplify]: Simplify 1 into 1 13.039 * [backup-simplify]: Simplify (- 0) into 0 13.039 * [backup-simplify]: Simplify (- 1) into -1 13.039 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.039 * [backup-simplify]: Simplify (- 0) into 0 13.039 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify (- 0) into 0 13.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.041 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 13.041 * [backup-simplify]: Simplify (- 0) into 0 13.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.042 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 13.042 * [backup-simplify]: Simplify (- 0) into 0 13.042 * [backup-simplify]: Simplify (+ 0 0) into 0 13.042 * [taylor]: Taking taylor expansion of 0 in n 13.042 * [backup-simplify]: Simplify 0 into 0 13.042 * [taylor]: Taking taylor expansion of 0 in M 13.042 * [backup-simplify]: Simplify 0 into 0 13.042 * [backup-simplify]: Simplify 0 into 0 13.042 * [backup-simplify]: Simplify 1 into 1 13.043 * [backup-simplify]: Simplify (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 13.043 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 13.043 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 13.043 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 13.043 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.043 * [taylor]: Taking taylor expansion of 1/2 in M 13.043 * [backup-simplify]: Simplify 1/2 into 1/2 13.043 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.043 * [taylor]: Taking taylor expansion of (* m K) in M 13.043 * [taylor]: Taking taylor expansion of m in M 13.043 * [backup-simplify]: Simplify m into m 13.043 * [taylor]: Taking taylor expansion of K in M 13.043 * [backup-simplify]: Simplify K into K 13.043 * [backup-simplify]: Simplify (* m K) into (* m K) 13.043 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.043 * [taylor]: Taking taylor expansion of 1/2 in M 13.043 * [backup-simplify]: Simplify 1/2 into 1/2 13.043 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.043 * [taylor]: Taking taylor expansion of (* K n) in M 13.043 * [taylor]: Taking taylor expansion of K in M 13.043 * [backup-simplify]: Simplify K into K 13.043 * [taylor]: Taking taylor expansion of n in M 13.043 * [backup-simplify]: Simplify n into n 13.043 * [backup-simplify]: Simplify (* K n) into (* K n) 13.043 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.043 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.043 * [taylor]: Taking taylor expansion of M in M 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 13.044 * [backup-simplify]: Simplify (- 1) into -1 13.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.044 * [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))) 13.044 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 13.044 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 13.044 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.044 * [taylor]: Taking taylor expansion of 1/2 in n 13.044 * [backup-simplify]: Simplify 1/2 into 1/2 13.044 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.044 * [taylor]: Taking taylor expansion of (* m K) in n 13.044 * [taylor]: Taking taylor expansion of m in n 13.044 * [backup-simplify]: Simplify m into m 13.044 * [taylor]: Taking taylor expansion of K in n 13.044 * [backup-simplify]: Simplify K into K 13.044 * [backup-simplify]: Simplify (* m K) into (* m K) 13.044 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.044 * [taylor]: Taking taylor expansion of 1/2 in n 13.044 * [backup-simplify]: Simplify 1/2 into 1/2 13.044 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.044 * [taylor]: Taking taylor expansion of (* K n) in n 13.044 * [taylor]: Taking taylor expansion of K in n 13.044 * [backup-simplify]: Simplify K into K 13.044 * [taylor]: Taking taylor expansion of n in n 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 1 into 1 13.044 * [backup-simplify]: Simplify (* K 0) into 0 13.045 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.045 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.045 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.045 * [taylor]: Taking taylor expansion of M in n 13.045 * [backup-simplify]: Simplify M into M 13.045 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.045 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.045 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.045 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.045 * [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))) 13.045 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 13.045 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 13.045 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 K)) in m 13.045 * [taylor]: Taking taylor expansion of (* m K) 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 13.045 * [taylor]: Taking taylor expansion of K in m 13.045 * [backup-simplify]: Simplify K into K 13.045 * [backup-simplify]: Simplify (* 0 K) into 0 13.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.046 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K 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 (* K n)) in m 13.046 * [taylor]: Taking taylor expansion of (* K n) in m 13.046 * [taylor]: Taking taylor expansion of K in m 13.046 * [backup-simplify]: Simplify K into K 13.046 * [taylor]: Taking taylor expansion of n in m 13.046 * [backup-simplify]: Simplify n into n 13.046 * [backup-simplify]: Simplify (* K n) into (* K n) 13.046 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K 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 K)) into (/ 1/2 K) 13.046 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.046 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.046 * [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))) 13.046 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 13.046 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 13.046 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.046 * [taylor]: Taking taylor expansion of 1/2 in K 13.046 * [backup-simplify]: Simplify 1/2 into 1/2 13.046 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.046 * [taylor]: Taking taylor expansion of (* m K) in K 13.046 * [taylor]: Taking taylor expansion of m in K 13.046 * [backup-simplify]: Simplify m into m 13.047 * [taylor]: Taking taylor expansion of K in K 13.047 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify 1 into 1 13.047 * [backup-simplify]: Simplify (* m 0) into 0 13.047 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.047 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.047 * [taylor]: Taking taylor expansion of 1/2 in K 13.047 * [backup-simplify]: Simplify 1/2 into 1/2 13.047 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.047 * [taylor]: Taking taylor expansion of (* K n) in K 13.047 * [taylor]: Taking taylor expansion of K in K 13.047 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify 1 into 1 13.047 * [taylor]: Taking taylor expansion of n in K 13.047 * [backup-simplify]: Simplify n into n 13.047 * [backup-simplify]: Simplify (* 0 n) into 0 13.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.047 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.047 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.047 * [taylor]: Taking taylor expansion of M in K 13.047 * [backup-simplify]: Simplify M into M 13.047 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.047 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.048 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.048 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.048 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.048 * [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))) 13.048 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 13.048 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 13.048 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.048 * [taylor]: Taking taylor expansion of 1/2 in K 13.048 * [backup-simplify]: Simplify 1/2 into 1/2 13.048 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.048 * [taylor]: Taking taylor expansion of (* m K) in K 13.048 * [taylor]: Taking taylor expansion of m in K 13.048 * [backup-simplify]: Simplify m into m 13.048 * [taylor]: Taking taylor expansion of K in K 13.048 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify 1 into 1 13.048 * [backup-simplify]: Simplify (* m 0) into 0 13.048 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.048 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.048 * [taylor]: Taking taylor expansion of 1/2 in K 13.048 * [backup-simplify]: Simplify 1/2 into 1/2 13.048 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.048 * [taylor]: Taking taylor expansion of (* K n) in K 13.049 * [taylor]: Taking taylor expansion of K in K 13.049 * [backup-simplify]: Simplify 0 into 0 13.049 * [backup-simplify]: Simplify 1 into 1 13.049 * [taylor]: Taking taylor expansion of n in K 13.049 * [backup-simplify]: Simplify n into n 13.049 * [backup-simplify]: Simplify (* 0 n) into 0 13.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.049 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.049 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.049 * [taylor]: Taking taylor expansion of M in K 13.049 * [backup-simplify]: Simplify M into M 13.049 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.049 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.049 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.049 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.049 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.049 * [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))) 13.049 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 13.049 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 13.050 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.050 * [taylor]: Taking taylor expansion of 1/2 in m 13.050 * [backup-simplify]: Simplify 1/2 into 1/2 13.050 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.050 * [taylor]: Taking taylor expansion of (* m K) in m 13.050 * [taylor]: Taking taylor expansion of m in m 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 1 into 1 13.050 * [taylor]: Taking taylor expansion of K in m 13.050 * [backup-simplify]: Simplify K into K 13.050 * [backup-simplify]: Simplify (* 0 K) into 0 13.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.050 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.050 * [taylor]: Taking taylor expansion of 1/2 in m 13.050 * [backup-simplify]: Simplify 1/2 into 1/2 13.050 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.050 * [taylor]: Taking taylor expansion of (* K n) in m 13.050 * [taylor]: Taking taylor expansion of K in m 13.050 * [backup-simplify]: Simplify K into K 13.050 * [taylor]: Taking taylor expansion of n in m 13.050 * [backup-simplify]: Simplify n into n 13.050 * [backup-simplify]: Simplify (* K n) into (* K n) 13.050 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.050 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.050 * [taylor]: Taking taylor expansion of M in m 13.050 * [backup-simplify]: Simplify M into M 13.050 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.050 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.050 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.050 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.051 * [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))) 13.051 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 13.051 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 13.051 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.051 * [taylor]: Taking taylor expansion of 1/2 in n 13.051 * [backup-simplify]: Simplify 1/2 into 1/2 13.051 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.051 * [taylor]: Taking taylor expansion of (* m K) in n 13.051 * [taylor]: Taking taylor expansion of m in n 13.051 * [backup-simplify]: Simplify m into m 13.051 * [taylor]: Taking taylor expansion of K in n 13.051 * [backup-simplify]: Simplify K into K 13.051 * [backup-simplify]: Simplify (* m K) into (* m K) 13.051 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.051 * [taylor]: Taking taylor expansion of 1/2 in n 13.051 * [backup-simplify]: Simplify 1/2 into 1/2 13.051 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.051 * [taylor]: Taking taylor expansion of (* K n) in n 13.051 * [taylor]: Taking taylor expansion of K in n 13.051 * [backup-simplify]: Simplify K into K 13.051 * [taylor]: Taking taylor expansion of n in n 13.051 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify 1 into 1 13.051 * [backup-simplify]: Simplify (* K 0) into 0 13.051 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.051 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.051 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.051 * [taylor]: Taking taylor expansion of M in n 13.051 * [backup-simplify]: Simplify M into M 13.051 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.051 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.052 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.052 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.052 * [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))) 13.052 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 13.052 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 13.052 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.052 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.052 * [taylor]: Taking taylor expansion of 1/2 in M 13.052 * [backup-simplify]: Simplify 1/2 into 1/2 13.052 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.052 * [taylor]: Taking taylor expansion of (* m K) in M 13.052 * [taylor]: Taking taylor expansion of m in M 13.052 * [backup-simplify]: Simplify m into m 13.052 * [taylor]: Taking taylor expansion of K in M 13.052 * [backup-simplify]: Simplify K into K 13.052 * [backup-simplify]: Simplify (* m K) into (* m K) 13.052 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.052 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.052 * [taylor]: Taking taylor expansion of 1/2 in M 13.052 * [backup-simplify]: Simplify 1/2 into 1/2 13.052 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.052 * [taylor]: Taking taylor expansion of (* K n) in M 13.052 * [taylor]: Taking taylor expansion of K in M 13.052 * [backup-simplify]: Simplify K into K 13.052 * [taylor]: Taking taylor expansion of n in M 13.052 * [backup-simplify]: Simplify n into n 13.052 * [backup-simplify]: Simplify (* K n) into (* K n) 13.052 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.052 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.052 * [taylor]: Taking taylor expansion of M in M 13.052 * [backup-simplify]: Simplify 0 into 0 13.052 * [backup-simplify]: Simplify 1 into 1 13.053 * [backup-simplify]: Simplify (/ 1 1) into 1 13.053 * [backup-simplify]: Simplify (- 1) into -1 13.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.053 * [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))) 13.053 * [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))) 13.053 * [taylor]: Taking taylor expansion of 0 in m 13.053 * [backup-simplify]: Simplify 0 into 0 13.053 * [taylor]: Taking taylor expansion of 0 in n 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in M 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in n 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in M 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in M 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in m 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in n 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in M 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in n 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [taylor]: Taking taylor expansion of 0 in M 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [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)) 13.054 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 13.054 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 13.054 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 13.054 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 13.054 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.054 * [taylor]: Taking taylor expansion of M in M 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.055 * [backup-simplify]: Simplify (/ 1 1) into 1 13.055 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.055 * [taylor]: Taking taylor expansion of 1/2 in M 13.055 * [backup-simplify]: Simplify 1/2 into 1/2 13.055 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.055 * [taylor]: Taking taylor expansion of (* m K) in M 13.055 * [taylor]: Taking taylor expansion of m in M 13.055 * [backup-simplify]: Simplify m into m 13.055 * [taylor]: Taking taylor expansion of K in M 13.055 * [backup-simplify]: Simplify K into K 13.055 * [backup-simplify]: Simplify (* m K) into (* m K) 13.055 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.055 * [taylor]: Taking taylor expansion of 1/2 in M 13.055 * [backup-simplify]: Simplify 1/2 into 1/2 13.055 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.055 * [taylor]: Taking taylor expansion of (* K n) in M 13.055 * [taylor]: Taking taylor expansion of K in M 13.055 * [backup-simplify]: Simplify K into K 13.055 * [taylor]: Taking taylor expansion of n in M 13.055 * [backup-simplify]: Simplify n into n 13.055 * [backup-simplify]: Simplify (* K n) into (* K n) 13.055 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.055 * [backup-simplify]: Simplify (+ 1 0) into 1 13.056 * [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)))))) 13.056 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 13.056 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 13.056 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.056 * [taylor]: Taking taylor expansion of M in n 13.056 * [backup-simplify]: Simplify M into M 13.056 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.056 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.056 * [taylor]: Taking taylor expansion of 1/2 in n 13.056 * [backup-simplify]: Simplify 1/2 into 1/2 13.056 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.056 * [taylor]: Taking taylor expansion of (* m K) in n 13.056 * [taylor]: Taking taylor expansion of m in n 13.056 * [backup-simplify]: Simplify m into m 13.056 * [taylor]: Taking taylor expansion of K in n 13.056 * [backup-simplify]: Simplify K into K 13.056 * [backup-simplify]: Simplify (* m K) into (* m K) 13.056 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.056 * [taylor]: Taking taylor expansion of 1/2 in n 13.056 * [backup-simplify]: Simplify 1/2 into 1/2 13.056 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.056 * [taylor]: Taking taylor expansion of (* K n) in n 13.056 * [taylor]: Taking taylor expansion of K in n 13.056 * [backup-simplify]: Simplify K into K 13.056 * [taylor]: Taking taylor expansion of n in n 13.056 * [backup-simplify]: Simplify 0 into 0 13.056 * [backup-simplify]: Simplify 1 into 1 13.056 * [backup-simplify]: Simplify (* K 0) into 0 13.056 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.056 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.057 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.057 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.057 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.057 * [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)))))) 13.057 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 13.057 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 13.057 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.057 * [taylor]: Taking taylor expansion of M in m 13.057 * [backup-simplify]: Simplify M into M 13.057 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.057 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.057 * [taylor]: Taking taylor expansion of 1/2 in m 13.057 * [backup-simplify]: Simplify 1/2 into 1/2 13.057 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.057 * [taylor]: Taking taylor expansion of (* m K) in m 13.057 * [taylor]: Taking taylor expansion of m in m 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 1 into 1 13.057 * [taylor]: Taking taylor expansion of K in m 13.057 * [backup-simplify]: Simplify K into K 13.057 * [backup-simplify]: Simplify (* 0 K) into 0 13.057 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.057 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.057 * [taylor]: Taking taylor expansion of 1/2 in m 13.057 * [backup-simplify]: Simplify 1/2 into 1/2 13.057 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.057 * [taylor]: Taking taylor expansion of (* K n) in m 13.057 * [taylor]: Taking taylor expansion of K in m 13.058 * [backup-simplify]: Simplify K into K 13.058 * [taylor]: Taking taylor expansion of n in m 13.058 * [backup-simplify]: Simplify n into n 13.058 * [backup-simplify]: Simplify (* K n) into (* K n) 13.058 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.058 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.058 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.058 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.058 * [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)))))) 13.058 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 13.058 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 13.058 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.058 * [taylor]: Taking taylor expansion of M in K 13.058 * [backup-simplify]: Simplify M into M 13.058 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.058 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.058 * [taylor]: Taking taylor expansion of 1/2 in K 13.058 * [backup-simplify]: Simplify 1/2 into 1/2 13.058 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.058 * [taylor]: Taking taylor expansion of (* m K) in K 13.058 * [taylor]: Taking taylor expansion of m in K 13.058 * [backup-simplify]: Simplify m into m 13.058 * [taylor]: Taking taylor expansion of K in K 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 1 into 1 13.058 * [backup-simplify]: Simplify (* m 0) into 0 13.058 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.059 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.059 * [taylor]: Taking taylor expansion of 1/2 in K 13.059 * [backup-simplify]: Simplify 1/2 into 1/2 13.059 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.059 * [taylor]: Taking taylor expansion of (* K n) in K 13.059 * [taylor]: Taking taylor expansion of K in K 13.059 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify 1 into 1 13.059 * [taylor]: Taking taylor expansion of n in K 13.059 * [backup-simplify]: Simplify n into n 13.059 * [backup-simplify]: Simplify (* 0 n) into 0 13.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.059 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.059 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.059 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.059 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.059 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.059 * [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)))))) 13.059 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 13.059 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 13.060 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.060 * [taylor]: Taking taylor expansion of M in K 13.060 * [backup-simplify]: Simplify M into M 13.060 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.060 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.060 * [taylor]: Taking taylor expansion of 1/2 in K 13.060 * [backup-simplify]: Simplify 1/2 into 1/2 13.060 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.060 * [taylor]: Taking taylor expansion of (* m K) in K 13.060 * [taylor]: Taking taylor expansion of m in K 13.060 * [backup-simplify]: Simplify m into m 13.060 * [taylor]: Taking taylor expansion of K in K 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 13.060 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.060 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.060 * [taylor]: Taking taylor expansion of 1/2 in K 13.060 * [backup-simplify]: Simplify 1/2 into 1/2 13.060 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.060 * [taylor]: Taking taylor expansion of (* K n) in K 13.060 * [taylor]: Taking taylor expansion of K in K 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.060 * [taylor]: Taking taylor expansion of n in K 13.060 * [backup-simplify]: Simplify n into n 13.060 * [backup-simplify]: Simplify (* 0 n) into 0 13.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.061 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.061 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.061 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.061 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.061 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.061 * [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)))))) 13.061 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 13.061 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 13.061 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.061 * [taylor]: Taking taylor expansion of M in m 13.061 * [backup-simplify]: Simplify M into M 13.061 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.061 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.061 * [taylor]: Taking taylor expansion of 1/2 in m 13.061 * [backup-simplify]: Simplify 1/2 into 1/2 13.061 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.061 * [taylor]: Taking taylor expansion of (* m K) in m 13.061 * [taylor]: Taking taylor expansion of m in m 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.061 * [taylor]: Taking taylor expansion of K in m 13.061 * [backup-simplify]: Simplify K into K 13.061 * [backup-simplify]: Simplify (* 0 K) into 0 13.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.062 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.062 * [taylor]: Taking taylor expansion of 1/2 in m 13.062 * [backup-simplify]: Simplify 1/2 into 1/2 13.062 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.062 * [taylor]: Taking taylor expansion of (* K n) in m 13.062 * [taylor]: Taking taylor expansion of K in m 13.062 * [backup-simplify]: Simplify K into K 13.062 * [taylor]: Taking taylor expansion of n in m 13.062 * [backup-simplify]: Simplify n into n 13.062 * [backup-simplify]: Simplify (* K n) into (* K n) 13.062 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.062 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.062 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.062 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.062 * [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)))))) 13.062 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 13.062 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 13.062 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.062 * [taylor]: Taking taylor expansion of M in n 13.062 * [backup-simplify]: Simplify M into M 13.062 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.062 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.062 * [taylor]: Taking taylor expansion of 1/2 in n 13.062 * [backup-simplify]: Simplify 1/2 into 1/2 13.062 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.062 * [taylor]: Taking taylor expansion of (* m K) in n 13.062 * [taylor]: Taking taylor expansion of m in n 13.062 * [backup-simplify]: Simplify m into m 13.062 * [taylor]: Taking taylor expansion of K in n 13.062 * [backup-simplify]: Simplify K into K 13.062 * [backup-simplify]: Simplify (* m K) into (* m K) 13.063 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.063 * [taylor]: Taking taylor expansion of 1/2 in n 13.063 * [backup-simplify]: Simplify 1/2 into 1/2 13.063 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.063 * [taylor]: Taking taylor expansion of (* K n) in n 13.063 * [taylor]: Taking taylor expansion of K in n 13.063 * [backup-simplify]: Simplify K into K 13.063 * [taylor]: Taking taylor expansion of n in n 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 1 into 1 13.063 * [backup-simplify]: Simplify (* K 0) into 0 13.063 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.063 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.063 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.063 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.063 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.063 * [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)))))) 13.063 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 13.063 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 13.063 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.063 * [taylor]: Taking taylor expansion of M in M 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 1 into 1 13.064 * [backup-simplify]: Simplify (/ 1 1) into 1 13.064 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.064 * [taylor]: Taking taylor expansion of 1/2 in M 13.064 * [backup-simplify]: Simplify 1/2 into 1/2 13.064 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.064 * [taylor]: Taking taylor expansion of (* m K) in M 13.064 * [taylor]: Taking taylor expansion of m in M 13.064 * [backup-simplify]: Simplify m into m 13.064 * [taylor]: Taking taylor expansion of K in M 13.064 * [backup-simplify]: Simplify K into K 13.064 * [backup-simplify]: Simplify (* m K) into (* m K) 13.064 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.064 * [taylor]: Taking taylor expansion of 1/2 in M 13.064 * [backup-simplify]: Simplify 1/2 into 1/2 13.064 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.064 * [taylor]: Taking taylor expansion of (* K n) in M 13.064 * [taylor]: Taking taylor expansion of K in M 13.064 * [backup-simplify]: Simplify K into K 13.064 * [taylor]: Taking taylor expansion of n in M 13.064 * [backup-simplify]: Simplify n into n 13.064 * [backup-simplify]: Simplify (* K n) into (* K n) 13.064 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.064 * [backup-simplify]: Simplify (+ 1 0) into 1 13.065 * [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)))))) 13.065 * [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)))))) 13.065 * [taylor]: Taking taylor expansion of 0 in m 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in n 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in M 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in n 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in M 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in M 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in m 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in n 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in M 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in n 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [taylor]: Taking taylor expansion of 0 in M 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 0 into 0 13.066 * [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)) 13.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 13.066 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 13.066 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 13.066 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 13.066 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 13.066 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 13.066 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 13.066 * [taylor]: Taking taylor expansion of 1/2 in M 13.066 * [backup-simplify]: Simplify 1/2 into 1/2 13.066 * [taylor]: Taking taylor expansion of (* K n) in M 13.066 * [taylor]: Taking taylor expansion of K in M 13.066 * [backup-simplify]: Simplify K into K 13.066 * [taylor]: Taking taylor expansion of n in M 13.066 * [backup-simplify]: Simplify n into n 13.066 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 13.066 * [taylor]: Taking taylor expansion of 1/2 in M 13.066 * [backup-simplify]: Simplify 1/2 into 1/2 13.066 * [taylor]: Taking taylor expansion of (* K m) in M 13.066 * [taylor]: Taking taylor expansion of K in M 13.066 * [backup-simplify]: Simplify K into K 13.066 * [taylor]: Taking taylor expansion of m in M 13.066 * [backup-simplify]: Simplify m into m 13.066 * [taylor]: Taking taylor expansion of M in M 13.066 * [backup-simplify]: Simplify 0 into 0 13.066 * [backup-simplify]: Simplify 1 into 1 13.066 * [backup-simplify]: Simplify (* K n) into (* K n) 13.066 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 13.066 * [backup-simplify]: Simplify (* K m) into (* K m) 13.066 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 13.066 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 13.067 * [backup-simplify]: Simplify (- 0) into 0 13.067 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 13.067 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 13.067 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 13.067 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 13.067 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 13.067 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 13.067 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 13.067 * [taylor]: Taking taylor expansion of 1/2 in n 13.067 * [backup-simplify]: Simplify 1/2 into 1/2 13.067 * [taylor]: Taking taylor expansion of (* K n) in n 13.067 * [taylor]: Taking taylor expansion of K in n 13.067 * [backup-simplify]: Simplify K into K 13.067 * [taylor]: Taking taylor expansion of n in n 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify 1 into 1 13.067 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 13.067 * [taylor]: Taking taylor expansion of 1/2 in n 13.067 * [backup-simplify]: Simplify 1/2 into 1/2 13.067 * [taylor]: Taking taylor expansion of (* K m) in n 13.067 * [taylor]: Taking taylor expansion of K in n 13.067 * [backup-simplify]: Simplify K into K 13.067 * [taylor]: Taking taylor expansion of m in n 13.067 * [backup-simplify]: Simplify m into m 13.067 * [taylor]: Taking taylor expansion of M in n 13.067 * [backup-simplify]: Simplify M into M 13.067 * [backup-simplify]: Simplify (* K 0) into 0 13.068 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.068 * [backup-simplify]: Simplify (* K m) into (* K m) 13.068 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 13.068 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 13.068 * [backup-simplify]: Simplify (- M) into (- M) 13.068 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 13.068 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 13.068 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 13.068 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 13.068 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 13.068 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 13.068 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 13.068 * [taylor]: Taking taylor expansion of 1/2 in m 13.068 * [backup-simplify]: Simplify 1/2 into 1/2 13.068 * [taylor]: Taking taylor expansion of (* K n) in m 13.068 * [taylor]: Taking taylor expansion of K in m 13.068 * [backup-simplify]: Simplify K into K 13.068 * [taylor]: Taking taylor expansion of n in m 13.068 * [backup-simplify]: Simplify n into n 13.068 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 13.068 * [taylor]: Taking taylor expansion of 1/2 in m 13.068 * [backup-simplify]: Simplify 1/2 into 1/2 13.068 * [taylor]: Taking taylor expansion of (* K m) in m 13.068 * [taylor]: Taking taylor expansion of K in m 13.068 * [backup-simplify]: Simplify K into K 13.068 * [taylor]: Taking taylor expansion of m in m 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.068 * [taylor]: Taking taylor expansion of M in m 13.068 * [backup-simplify]: Simplify M into M 13.068 * [backup-simplify]: Simplify (* K n) into (* K n) 13.068 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 13.068 * [backup-simplify]: Simplify (* K 0) into 0 13.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.069 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 13.069 * [backup-simplify]: Simplify (- M) into (- M) 13.069 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 13.069 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 13.069 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 13.069 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 13.069 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 13.069 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 13.069 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.069 * [taylor]: Taking taylor expansion of 1/2 in K 13.069 * [backup-simplify]: Simplify 1/2 into 1/2 13.069 * [taylor]: Taking taylor expansion of (* K n) in K 13.069 * [taylor]: Taking taylor expansion of K in K 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [taylor]: Taking taylor expansion of n in K 13.069 * [backup-simplify]: Simplify n into n 13.069 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 13.069 * [taylor]: Taking taylor expansion of 1/2 in K 13.069 * [backup-simplify]: Simplify 1/2 into 1/2 13.069 * [taylor]: Taking taylor expansion of (* K m) in K 13.069 * [taylor]: Taking taylor expansion of K in K 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [taylor]: Taking taylor expansion of m in K 13.069 * [backup-simplify]: Simplify m into m 13.069 * [taylor]: Taking taylor expansion of M in K 13.069 * [backup-simplify]: Simplify M into M 13.069 * [backup-simplify]: Simplify (* 0 n) into 0 13.070 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.070 * [backup-simplify]: Simplify (* 0 m) into 0 13.070 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.070 * [backup-simplify]: Simplify (+ 0 0) into 0 13.070 * [backup-simplify]: Simplify (- M) into (- M) 13.070 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.070 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.070 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.070 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 13.070 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 13.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 13.070 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.070 * [taylor]: Taking taylor expansion of 1/2 in K 13.070 * [backup-simplify]: Simplify 1/2 into 1/2 13.070 * [taylor]: Taking taylor expansion of (* K n) in K 13.070 * [taylor]: Taking taylor expansion of K in K 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify 1 into 1 13.071 * [taylor]: Taking taylor expansion of n in K 13.071 * [backup-simplify]: Simplify n into n 13.071 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 13.071 * [taylor]: Taking taylor expansion of 1/2 in K 13.071 * [backup-simplify]: Simplify 1/2 into 1/2 13.071 * [taylor]: Taking taylor expansion of (* K m) in K 13.071 * [taylor]: Taking taylor expansion of K in K 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 1 into 1 13.071 * [taylor]: Taking taylor expansion of m in K 13.071 * [backup-simplify]: Simplify m into m 13.071 * [taylor]: Taking taylor expansion of M in K 13.071 * [backup-simplify]: Simplify M into M 13.071 * [backup-simplify]: Simplify (* 0 n) into 0 13.071 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.071 * [backup-simplify]: Simplify (* 0 m) into 0 13.071 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.072 * [backup-simplify]: Simplify (+ 0 0) into 0 13.072 * [backup-simplify]: Simplify (- M) into (- M) 13.072 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.072 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.072 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.072 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.072 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.072 * [backup-simplify]: Simplify (- 0) into 0 13.072 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.072 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.072 * [taylor]: Taking taylor expansion of (- M) in m 13.072 * [taylor]: Taking taylor expansion of M in m 13.072 * [backup-simplify]: Simplify M into M 13.072 * [backup-simplify]: Simplify (- M) into (- M) 13.072 * [backup-simplify]: Simplify (- M) into (- M) 13.072 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.072 * [backup-simplify]: Simplify (- M) into (- M) 13.072 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.072 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.072 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.073 * [backup-simplify]: Simplify (- 0) into 0 13.073 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.073 * [taylor]: Taking taylor expansion of (cos (- M)) in n 13.073 * [taylor]: Taking taylor expansion of (- M) in n 13.073 * [taylor]: Taking taylor expansion of M in n 13.073 * [backup-simplify]: Simplify M into M 13.073 * [backup-simplify]: Simplify (- M) into (- M) 13.073 * [backup-simplify]: Simplify (- M) into (- M) 13.073 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.073 * [backup-simplify]: Simplify (- M) into (- M) 13.073 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.073 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.073 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.073 * [backup-simplify]: Simplify (- 0) into 0 13.073 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.073 * [taylor]: Taking taylor expansion of (cos (- M)) in M 13.073 * [taylor]: Taking taylor expansion of (- 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 (- 0) into 0 13.074 * [backup-simplify]: Simplify (- 1) into -1 13.074 * [backup-simplify]: Simplify 1 into 1 13.074 * [backup-simplify]: Simplify (+ 0) into 0 13.074 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 13.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.075 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 13.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 13.076 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 13.076 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 13.076 * [backup-simplify]: Simplify (- 0) into 0 13.076 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 13.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 13.076 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 13.077 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 13.077 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 13.077 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 13.077 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 13.077 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 13.077 * [taylor]: Taking taylor expansion of 1/2 in m 13.077 * [backup-simplify]: Simplify 1/2 into 1/2 13.077 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 13.077 * [taylor]: Taking taylor expansion of (sin (- M)) in m 13.077 * [taylor]: Taking taylor expansion of (- M) in m 13.077 * [taylor]: Taking taylor expansion of M in m 13.077 * [backup-simplify]: Simplify M into M 13.077 * [backup-simplify]: Simplify (- M) into (- M) 13.077 * [backup-simplify]: Simplify (- M) into (- M) 13.077 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.077 * [backup-simplify]: Simplify (- M) into (- M) 13.077 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.077 * [taylor]: Taking taylor expansion of n in m 13.077 * [backup-simplify]: Simplify n into n 13.077 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 13.077 * [taylor]: Taking taylor expansion of 1/2 in m 13.077 * [backup-simplify]: Simplify 1/2 into 1/2 13.077 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 13.077 * [taylor]: Taking taylor expansion of m in m 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [taylor]: Taking taylor expansion of (sin (- M)) in m 13.077 * [taylor]: Taking taylor expansion of (- M) in m 13.077 * [taylor]: Taking taylor expansion of M in m 13.077 * [backup-simplify]: Simplify M into M 13.077 * [backup-simplify]: Simplify (- M) into (- M) 13.077 * [backup-simplify]: Simplify (- M) into (- M) 13.077 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.077 * [backup-simplify]: Simplify (- M) into (- M) 13.077 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.077 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.077 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.077 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.078 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 13.078 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 13.078 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.078 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.078 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.078 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 13.078 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.078 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 13.078 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 13.078 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 13.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 13.078 * [taylor]: Taking taylor expansion of 1/2 in n 13.078 * [backup-simplify]: Simplify 1/2 into 1/2 13.078 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 13.078 * [taylor]: Taking taylor expansion of (sin (- M)) in n 13.078 * [taylor]: Taking taylor expansion of (- M) in n 13.078 * [taylor]: Taking taylor expansion of M in n 13.078 * [backup-simplify]: Simplify M into M 13.078 * [backup-simplify]: Simplify (- M) into (- M) 13.078 * [backup-simplify]: Simplify (- M) into (- M) 13.078 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.079 * [backup-simplify]: Simplify (- M) into (- M) 13.079 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.079 * [taylor]: Taking taylor expansion of n in n 13.079 * [backup-simplify]: Simplify 0 into 0 13.079 * [backup-simplify]: Simplify 1 into 1 13.079 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.079 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.079 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.079 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.079 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.079 * [backup-simplify]: Simplify (- 0) into 0 13.079 * [taylor]: Taking taylor expansion of 0 in M 13.079 * [backup-simplify]: Simplify 0 into 0 13.079 * [backup-simplify]: Simplify 0 into 0 13.080 * [backup-simplify]: Simplify (+ 0) into 0 13.080 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 13.080 * [backup-simplify]: Simplify (- 0) into 0 13.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.081 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 13.081 * [backup-simplify]: Simplify (- 0) into 0 13.082 * [backup-simplify]: Simplify (+ 0 0) into 0 13.082 * [taylor]: Taking taylor expansion of 0 in n 13.082 * [backup-simplify]: Simplify 0 into 0 13.082 * [taylor]: Taking taylor expansion of 0 in M 13.082 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify (+ 0) into 0 13.082 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 13.083 * [backup-simplify]: Simplify (- 0) into 0 13.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.083 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 13.084 * [backup-simplify]: Simplify (- 0) into 0 13.084 * [backup-simplify]: Simplify (+ 0 0) into 0 13.084 * [taylor]: Taking taylor expansion of 0 in M 13.084 * [backup-simplify]: Simplify 0 into 0 13.084 * [backup-simplify]: Simplify 0 into 0 13.084 * [backup-simplify]: Simplify (+ 0) into 0 13.084 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 13.086 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 13.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 13.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 13.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 13.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 13.088 * [backup-simplify]: Simplify (+ 0 0) into 0 13.088 * [backup-simplify]: Simplify (- 0) into 0 13.089 * [backup-simplify]: Simplify (+ 0 0) into 0 13.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.089 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 13.090 * [backup-simplify]: Simplify (- 0) into 0 13.090 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 13.090 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 13.090 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 13.090 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 13.090 * [taylor]: Taking taylor expansion of 1/8 in m 13.090 * [backup-simplify]: Simplify 1/8 into 1/8 13.090 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 13.090 * [taylor]: Taking taylor expansion of (pow m 2) in m 13.090 * [taylor]: Taking taylor expansion of m in m 13.090 * [backup-simplify]: Simplify 0 into 0 13.090 * [backup-simplify]: Simplify 1 into 1 13.090 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.090 * [taylor]: Taking taylor expansion of (- M) in m 13.090 * [taylor]: Taking taylor expansion of M in m 13.090 * [backup-simplify]: Simplify M into M 13.090 * [backup-simplify]: Simplify (- M) into (- M) 13.090 * [backup-simplify]: Simplify (- M) into (- M) 13.090 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.090 * [backup-simplify]: Simplify (- M) into (- M) 13.090 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.090 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 13.090 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 13.090 * [taylor]: Taking taylor expansion of 1/8 in m 13.090 * [backup-simplify]: Simplify 1/8 into 1/8 13.090 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 13.090 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.090 * [taylor]: Taking taylor expansion of (- M) in m 13.090 * [taylor]: Taking taylor expansion of M in m 13.091 * [backup-simplify]: Simplify M into M 13.091 * [backup-simplify]: Simplify (- M) into (- M) 13.091 * [backup-simplify]: Simplify (- M) into (- M) 13.091 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.091 * [backup-simplify]: Simplify (- M) into (- M) 13.091 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.091 * [taylor]: Taking taylor expansion of (pow n 2) in m 13.091 * [taylor]: Taking taylor expansion of n in m 13.091 * [backup-simplify]: Simplify n into n 13.091 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 13.091 * [taylor]: Taking taylor expansion of 1/4 in m 13.091 * [backup-simplify]: Simplify 1/4 into 1/4 13.091 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 13.091 * [taylor]: Taking taylor expansion of m in m 13.091 * [backup-simplify]: Simplify 0 into 0 13.091 * [backup-simplify]: Simplify 1 into 1 13.091 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 13.091 * [taylor]: Taking taylor expansion of (cos (- M)) in m 13.091 * [taylor]: Taking taylor expansion of (- M) in m 13.091 * [taylor]: Taking taylor expansion of M in m 13.091 * [backup-simplify]: Simplify M into M 13.091 * [backup-simplify]: Simplify (- M) into (- M) 13.091 * [backup-simplify]: Simplify (- M) into (- M) 13.091 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.091 * [backup-simplify]: Simplify (- M) into (- M) 13.091 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.091 * [taylor]: Taking taylor expansion of n in m 13.091 * [backup-simplify]: Simplify n into n 13.091 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.091 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.091 * [backup-simplify]: Simplify (- 0) into 0 13.091 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.091 * [backup-simplify]: Simplify (* n n) into (pow n 2) 13.092 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 13.092 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 13.092 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 13.092 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 13.092 * [backup-simplify]: Simplify (- 0) into 0 13.092 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 13.092 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 13.092 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 13.093 * [backup-simplify]: Simplify (* 1/4 0) into 0 13.093 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 13.093 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 13.093 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 13.093 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 13.093 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 13.093 * [taylor]: Taking taylor expansion of 1/8 in n 13.093 * [backup-simplify]: Simplify 1/8 into 1/8 13.093 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 13.093 * [taylor]: Taking taylor expansion of (cos (- M)) in n 13.093 * [taylor]: Taking taylor expansion of (- M) in n 13.093 * [taylor]: Taking taylor expansion of M in n 13.093 * [backup-simplify]: Simplify M into M 13.093 * [backup-simplify]: Simplify (- M) into (- M) 13.093 * [backup-simplify]: Simplify (- M) into (- M) 13.093 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.093 * [backup-simplify]: Simplify (- M) into (- M) 13.093 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.093 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.093 * [taylor]: Taking taylor expansion of n in n 13.093 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify 1 into 1 13.094 * [backup-simplify]: Simplify (+ 0) into 0 13.094 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 13.094 * [backup-simplify]: Simplify (- 0) into 0 13.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.095 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 13.095 * [backup-simplify]: Simplify (+ 0 0) into 0 13.095 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 13.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 13.096 * [backup-simplify]: Simplify (+ 0) into 0 13.096 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 13.096 * [backup-simplify]: Simplify (- 0) into 0 13.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.097 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 13.097 * [backup-simplify]: Simplify (+ 0 0) into 0 13.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 13.098 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 13.098 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 13.098 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 13.098 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 13.098 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 13.098 * [taylor]: Taking taylor expansion of 1/2 in n 13.098 * [backup-simplify]: Simplify 1/2 into 1/2 13.098 * [taylor]: Taking taylor expansion of (sin (- M)) in n 13.098 * [taylor]: Taking taylor expansion of (- M) in n 13.098 * [taylor]: Taking taylor expansion of M in n 13.098 * [backup-simplify]: Simplify M into M 13.098 * [backup-simplify]: Simplify (- M) into (- M) 13.098 * [backup-simplify]: Simplify (- M) into (- M) 13.098 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 13.098 * [backup-simplify]: Simplify (- M) into (- M) 13.098 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 13.098 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 13.098 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 13.098 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 13.098 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 13.098 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 13.098 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 13.098 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- 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 (sin (- M)) in M 13.099 * [taylor]: Taking taylor expansion of (- 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 13.099 * [backup-simplify]: Simplify (- 0) into 0 13.099 * [backup-simplify]: Simplify (- 1) into -1 13.099 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.100 * [backup-simplify]: Simplify (- 0) into 0 13.100 * [backup-simplify]: Simplify 0 into 0 13.100 * [backup-simplify]: Simplify (- 0) into 0 13.100 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.101 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 13.101 * [backup-simplify]: Simplify (- 0) into 0 13.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.102 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 13.102 * [backup-simplify]: Simplify (- 0) into 0 13.102 * [backup-simplify]: Simplify (+ 0 0) into 0 13.102 * [taylor]: Taking taylor expansion of 0 in n 13.102 * [backup-simplify]: Simplify 0 into 0 13.102 * [taylor]: Taking taylor expansion of 0 in M 13.102 * [backup-simplify]: Simplify 0 into 0 13.102 * [backup-simplify]: Simplify 0 into 0 13.102 * [backup-simplify]: Simplify 1 into 1 13.103 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M))))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 13.103 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 13.103 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 13.103 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 13.103 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.103 * [taylor]: Taking taylor expansion of 1/2 in M 13.103 * [backup-simplify]: Simplify 1/2 into 1/2 13.103 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.103 * [taylor]: Taking taylor expansion of (* m K) in M 13.103 * [taylor]: Taking taylor expansion of m in M 13.103 * [backup-simplify]: Simplify m into m 13.103 * [taylor]: Taking taylor expansion of K in M 13.103 * [backup-simplify]: Simplify K into K 13.103 * [backup-simplify]: Simplify (* m K) into (* m K) 13.103 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.103 * [taylor]: Taking taylor expansion of 1/2 in M 13.103 * [backup-simplify]: Simplify 1/2 into 1/2 13.103 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.103 * [taylor]: Taking taylor expansion of (* K n) in M 13.103 * [taylor]: Taking taylor expansion of K in M 13.103 * [backup-simplify]: Simplify K into K 13.103 * [taylor]: Taking taylor expansion of n in M 13.103 * [backup-simplify]: Simplify n into n 13.103 * [backup-simplify]: Simplify (* K n) into (* K n) 13.103 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.103 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.103 * [taylor]: Taking taylor expansion of M in M 13.103 * [backup-simplify]: Simplify 0 into 0 13.103 * [backup-simplify]: Simplify 1 into 1 13.103 * [backup-simplify]: Simplify (/ 1 1) into 1 13.104 * [backup-simplify]: Simplify (- 1) into -1 13.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.104 * [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))) 13.104 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 13.104 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 13.104 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) 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 (* m K)) in n 13.104 * [taylor]: Taking taylor expansion of (* m K) in n 13.104 * [taylor]: Taking taylor expansion of m in n 13.104 * [backup-simplify]: Simplify m into m 13.104 * [taylor]: Taking taylor expansion of K in n 13.104 * [backup-simplify]: Simplify K into K 13.104 * [backup-simplify]: Simplify (* m K) into (* m K) 13.104 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.104 * [taylor]: Taking taylor expansion of 1/2 in n 13.105 * [backup-simplify]: Simplify 1/2 into 1/2 13.105 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.105 * [taylor]: Taking taylor expansion of (* K n) in n 13.105 * [taylor]: Taking taylor expansion of K in n 13.105 * [backup-simplify]: Simplify K into K 13.105 * [taylor]: Taking taylor expansion of n in n 13.105 * [backup-simplify]: Simplify 0 into 0 13.105 * [backup-simplify]: Simplify 1 into 1 13.105 * [backup-simplify]: Simplify (* K 0) into 0 13.105 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.105 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.105 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.105 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.105 * [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))) 13.105 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 13.105 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 13.105 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.105 * [taylor]: Taking taylor expansion of 1/2 in m 13.105 * [backup-simplify]: Simplify 1/2 into 1/2 13.105 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.105 * [taylor]: Taking taylor expansion of (* m K) in m 13.105 * [taylor]: Taking taylor expansion of m in m 13.105 * [backup-simplify]: Simplify 0 into 0 13.106 * [backup-simplify]: Simplify 1 into 1 13.106 * [taylor]: Taking taylor expansion of K in m 13.106 * [backup-simplify]: Simplify K into K 13.106 * [backup-simplify]: Simplify (* 0 K) into 0 13.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.106 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.106 * [taylor]: Taking taylor expansion of 1/2 in m 13.106 * [backup-simplify]: Simplify 1/2 into 1/2 13.106 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.106 * [taylor]: Taking taylor expansion of (* K n) in m 13.106 * [taylor]: Taking taylor expansion of K in m 13.106 * [backup-simplify]: Simplify K into K 13.106 * [taylor]: Taking taylor expansion of n in m 13.106 * [backup-simplify]: Simplify n into n 13.106 * [backup-simplify]: Simplify (* K n) into (* K n) 13.106 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.106 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.106 * [taylor]: Taking taylor expansion of M in m 13.106 * [backup-simplify]: Simplify M into M 13.106 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.106 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.106 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.106 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.106 * [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))) 13.107 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 13.107 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 13.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.107 * [taylor]: Taking taylor expansion of 1/2 in K 13.107 * [backup-simplify]: Simplify 1/2 into 1/2 13.107 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.107 * [taylor]: Taking taylor expansion of (* m K) in K 13.107 * [taylor]: Taking taylor expansion of m in K 13.107 * [backup-simplify]: Simplify m into m 13.107 * [taylor]: Taking taylor expansion of K in K 13.107 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify 1 into 1 13.107 * [backup-simplify]: Simplify (* m 0) into 0 13.107 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.107 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.107 * [taylor]: Taking taylor expansion of 1/2 in K 13.107 * [backup-simplify]: Simplify 1/2 into 1/2 13.107 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.107 * [taylor]: Taking taylor expansion of (* K n) in K 13.107 * [taylor]: Taking taylor expansion of K in K 13.107 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify 1 into 1 13.107 * [taylor]: Taking taylor expansion of n in K 13.107 * [backup-simplify]: Simplify n into n 13.107 * [backup-simplify]: Simplify (* 0 n) into 0 13.108 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.108 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.108 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.108 * [taylor]: Taking taylor expansion of M in K 13.108 * [backup-simplify]: Simplify M into M 13.108 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.108 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.108 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.108 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.108 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.108 * [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))) 13.108 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 13.108 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 13.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.108 * [taylor]: Taking taylor expansion of 1/2 in K 13.108 * [backup-simplify]: Simplify 1/2 into 1/2 13.108 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.108 * [taylor]: Taking taylor expansion of (* m K) in K 13.108 * [taylor]: Taking taylor expansion of m in K 13.108 * [backup-simplify]: Simplify m into m 13.108 * [taylor]: Taking taylor expansion of K in K 13.108 * [backup-simplify]: Simplify 0 into 0 13.108 * [backup-simplify]: Simplify 1 into 1 13.108 * [backup-simplify]: Simplify (* m 0) into 0 13.109 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.109 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.109 * [taylor]: Taking taylor expansion of 1/2 in K 13.109 * [backup-simplify]: Simplify 1/2 into 1/2 13.109 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.109 * [taylor]: Taking taylor expansion of (* K n) in K 13.109 * [taylor]: Taking taylor expansion of K in K 13.109 * [backup-simplify]: Simplify 0 into 0 13.109 * [backup-simplify]: Simplify 1 into 1 13.109 * [taylor]: Taking taylor expansion of n in K 13.109 * [backup-simplify]: Simplify n into n 13.109 * [backup-simplify]: Simplify (* 0 n) into 0 13.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.109 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.109 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.109 * [taylor]: Taking taylor expansion of M in K 13.109 * [backup-simplify]: Simplify M into M 13.109 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.109 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.109 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.109 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.110 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.110 * [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))) 13.110 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 13.110 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 13.110 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.110 * [taylor]: Taking taylor expansion of 1/2 in m 13.110 * [backup-simplify]: Simplify 1/2 into 1/2 13.110 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.110 * [taylor]: Taking taylor expansion of (* m K) in m 13.110 * [taylor]: Taking taylor expansion of m in m 13.110 * [backup-simplify]: Simplify 0 into 0 13.110 * [backup-simplify]: Simplify 1 into 1 13.110 * [taylor]: Taking taylor expansion of K in m 13.110 * [backup-simplify]: Simplify K into K 13.110 * [backup-simplify]: Simplify (* 0 K) into 0 13.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.110 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.110 * [taylor]: Taking taylor expansion of 1/2 in m 13.110 * [backup-simplify]: Simplify 1/2 into 1/2 13.110 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.110 * [taylor]: Taking taylor expansion of (* K n) in m 13.110 * [taylor]: Taking taylor expansion of K in m 13.110 * [backup-simplify]: Simplify K into K 13.110 * [taylor]: Taking taylor expansion of n in m 13.110 * [backup-simplify]: Simplify n into n 13.110 * [backup-simplify]: Simplify (* K n) into (* K n) 13.110 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.111 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.111 * [taylor]: Taking taylor expansion of M in m 13.111 * [backup-simplify]: Simplify M into M 13.111 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.111 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.111 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.111 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.111 * [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))) 13.111 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 13.111 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 13.111 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.111 * [taylor]: Taking taylor expansion of 1/2 in n 13.111 * [backup-simplify]: Simplify 1/2 into 1/2 13.111 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.111 * [taylor]: Taking taylor expansion of (* m K) in n 13.111 * [taylor]: Taking taylor expansion of m in n 13.111 * [backup-simplify]: Simplify m into m 13.111 * [taylor]: Taking taylor expansion of K in n 13.111 * [backup-simplify]: Simplify K into K 13.111 * [backup-simplify]: Simplify (* m K) into (* m K) 13.111 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.111 * [taylor]: Taking taylor expansion of 1/2 in n 13.111 * [backup-simplify]: Simplify 1/2 into 1/2 13.111 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.111 * [taylor]: Taking taylor expansion of (* K n) in n 13.111 * [taylor]: Taking taylor expansion of K in n 13.111 * [backup-simplify]: Simplify K into K 13.111 * [taylor]: Taking taylor expansion of n in n 13.111 * [backup-simplify]: Simplify 0 into 0 13.111 * [backup-simplify]: Simplify 1 into 1 13.111 * [backup-simplify]: Simplify (* K 0) into 0 13.112 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.112 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.112 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.112 * [taylor]: Taking taylor expansion of M in n 13.112 * [backup-simplify]: Simplify M into M 13.112 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.112 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.112 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.112 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 13.112 * [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))) 13.112 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 13.112 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 13.112 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.112 * [taylor]: Taking taylor expansion of 1/2 in M 13.112 * [backup-simplify]: Simplify 1/2 into 1/2 13.112 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.112 * [taylor]: Taking taylor expansion of (* m K) in M 13.112 * [taylor]: Taking taylor expansion of m in M 13.112 * [backup-simplify]: Simplify m into m 13.112 * [taylor]: Taking taylor expansion of K in M 13.112 * [backup-simplify]: Simplify K into K 13.112 * [backup-simplify]: Simplify (* m K) into (* m K) 13.112 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.112 * [taylor]: Taking taylor expansion of 1/2 in M 13.112 * [backup-simplify]: Simplify 1/2 into 1/2 13.112 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.112 * [taylor]: Taking taylor expansion of (* K n) in M 13.112 * [taylor]: Taking taylor expansion of K in M 13.112 * [backup-simplify]: Simplify K into K 13.112 * [taylor]: Taking taylor expansion of n in M 13.112 * [backup-simplify]: Simplify n into n 13.112 * [backup-simplify]: Simplify (* K n) into (* K n) 13.113 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.113 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.113 * [taylor]: Taking taylor expansion of M in M 13.113 * [backup-simplify]: Simplify 0 into 0 13.113 * [backup-simplify]: Simplify 1 into 1 13.113 * [backup-simplify]: Simplify (/ 1 1) into 1 13.113 * [backup-simplify]: Simplify (- 1) into -1 13.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.114 * [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))) 13.114 * [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))) 13.114 * [taylor]: Taking taylor expansion of 0 in m 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in n 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in M 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in n 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in M 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in M 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in m 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in n 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in M 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in n 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in M 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [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)) 13.115 * [backup-simplify]: Simplify (posit16->real (real->posit16 (cos (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 13.115 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 13.115 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 13.115 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 13.115 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.115 * [taylor]: Taking taylor expansion of M in M 13.115 * [backup-simplify]: Simplify 0 into 0 13.115 * [backup-simplify]: Simplify 1 into 1 13.118 * [backup-simplify]: Simplify (/ 1 1) into 1 13.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.118 * [taylor]: Taking taylor expansion of 1/2 in M 13.118 * [backup-simplify]: Simplify 1/2 into 1/2 13.118 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.118 * [taylor]: Taking taylor expansion of (* m K) in M 13.118 * [taylor]: Taking taylor expansion of m in M 13.118 * [backup-simplify]: Simplify m into m 13.118 * [taylor]: Taking taylor expansion of K in M 13.118 * [backup-simplify]: Simplify K into K 13.118 * [backup-simplify]: Simplify (* m K) into (* m K) 13.118 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.118 * [taylor]: Taking taylor expansion of 1/2 in M 13.118 * [backup-simplify]: Simplify 1/2 into 1/2 13.118 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.118 * [taylor]: Taking taylor expansion of (* K n) in M 13.118 * [taylor]: Taking taylor expansion of K in M 13.118 * [backup-simplify]: Simplify K into K 13.118 * [taylor]: Taking taylor expansion of n in M 13.118 * [backup-simplify]: Simplify n into n 13.118 * [backup-simplify]: Simplify (* K n) into (* K n) 13.118 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.119 * [backup-simplify]: Simplify (+ 1 0) into 1 13.119 * [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)))))) 13.119 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 13.119 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 13.119 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.119 * [taylor]: Taking taylor expansion of M in n 13.119 * [backup-simplify]: Simplify M into M 13.119 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.119 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.119 * [taylor]: Taking taylor expansion of 1/2 in n 13.119 * [backup-simplify]: Simplify 1/2 into 1/2 13.119 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.119 * [taylor]: Taking taylor expansion of (* m K) in n 13.119 * [taylor]: Taking taylor expansion of m in n 13.119 * [backup-simplify]: Simplify m into m 13.119 * [taylor]: Taking taylor expansion of K in n 13.119 * [backup-simplify]: Simplify K into K 13.119 * [backup-simplify]: Simplify (* m K) into (* m K) 13.119 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.119 * [taylor]: Taking taylor expansion of 1/2 in n 13.119 * [backup-simplify]: Simplify 1/2 into 1/2 13.119 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.119 * [taylor]: Taking taylor expansion of (* K n) in n 13.119 * [taylor]: Taking taylor expansion of K in n 13.119 * [backup-simplify]: Simplify K into K 13.119 * [taylor]: Taking taylor expansion of n in n 13.119 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify 1 into 1 13.119 * [backup-simplify]: Simplify (* K 0) into 0 13.120 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.120 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.120 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.120 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.120 * [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)))))) 13.120 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 13.120 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 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 M into M 13.120 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.120 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.120 * [taylor]: Taking taylor expansion of 1/2 in m 13.120 * [backup-simplify]: Simplify 1/2 into 1/2 13.120 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.120 * [taylor]: Taking taylor expansion of (* m K) 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 * [taylor]: Taking taylor expansion of K in m 13.120 * [backup-simplify]: Simplify K into K 13.120 * [backup-simplify]: Simplify (* 0 K) into 0 13.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.121 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.121 * [taylor]: Taking taylor expansion of 1/2 in m 13.121 * [backup-simplify]: Simplify 1/2 into 1/2 13.121 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.121 * [taylor]: Taking taylor expansion of (* K n) in m 13.121 * [taylor]: Taking taylor expansion of K in m 13.121 * [backup-simplify]: Simplify K into K 13.121 * [taylor]: Taking taylor expansion of n in m 13.121 * [backup-simplify]: Simplify n into n 13.121 * [backup-simplify]: Simplify (* K n) into (* K n) 13.121 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.121 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.121 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.121 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.121 * [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)))))) 13.121 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 13.121 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 13.121 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.121 * [taylor]: Taking taylor expansion of M in K 13.121 * [backup-simplify]: Simplify M into M 13.121 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.121 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.121 * [taylor]: Taking taylor expansion of 1/2 in K 13.121 * [backup-simplify]: Simplify 1/2 into 1/2 13.121 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.121 * [taylor]: Taking taylor expansion of (* m K) in K 13.121 * [taylor]: Taking taylor expansion of m in K 13.121 * [backup-simplify]: Simplify m into m 13.121 * [taylor]: Taking taylor expansion of K in K 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [backup-simplify]: Simplify 1 into 1 13.121 * [backup-simplify]: Simplify (* m 0) into 0 13.122 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.122 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.122 * [taylor]: Taking taylor expansion of 1/2 in K 13.122 * [backup-simplify]: Simplify 1/2 into 1/2 13.122 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.122 * [taylor]: Taking taylor expansion of (* K n) in K 13.122 * [taylor]: Taking taylor expansion of K in K 13.122 * [backup-simplify]: Simplify 0 into 0 13.122 * [backup-simplify]: Simplify 1 into 1 13.122 * [taylor]: Taking taylor expansion of n in K 13.122 * [backup-simplify]: Simplify n into n 13.122 * [backup-simplify]: Simplify (* 0 n) into 0 13.122 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.122 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.122 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.123 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.123 * [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)))))) 13.123 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 13.123 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 13.123 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.123 * [taylor]: Taking taylor expansion of M in K 13.123 * [backup-simplify]: Simplify M into M 13.123 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.123 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.123 * [taylor]: Taking taylor expansion of 1/2 in K 13.123 * [backup-simplify]: Simplify 1/2 into 1/2 13.123 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.123 * [taylor]: Taking taylor expansion of (* m K) in K 13.123 * [taylor]: Taking taylor expansion of m in K 13.123 * [backup-simplify]: Simplify m into m 13.123 * [taylor]: Taking taylor expansion of K in K 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [backup-simplify]: Simplify (* m 0) into 0 13.123 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.123 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.123 * [taylor]: Taking taylor expansion of 1/2 in K 13.123 * [backup-simplify]: Simplify 1/2 into 1/2 13.123 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.123 * [taylor]: Taking taylor expansion of (* K n) in K 13.123 * [taylor]: Taking taylor expansion of K in K 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [taylor]: Taking taylor expansion of n in K 13.123 * [backup-simplify]: Simplify n into n 13.123 * [backup-simplify]: Simplify (* 0 n) into 0 13.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.124 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.124 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.124 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.124 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.124 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.124 * [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)))))) 13.124 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 13.124 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 13.124 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.124 * [taylor]: Taking taylor expansion of M in m 13.124 * [backup-simplify]: Simplify M into M 13.124 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.124 * [taylor]: Taking taylor expansion of 1/2 in m 13.124 * [backup-simplify]: Simplify 1/2 into 1/2 13.124 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.125 * [taylor]: Taking taylor expansion of (* m K) in m 13.125 * [taylor]: Taking taylor expansion of m in m 13.125 * [backup-simplify]: Simplify 0 into 0 13.125 * [backup-simplify]: Simplify 1 into 1 13.125 * [taylor]: Taking taylor expansion of K in m 13.125 * [backup-simplify]: Simplify K into K 13.125 * [backup-simplify]: Simplify (* 0 K) into 0 13.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.125 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.125 * [taylor]: Taking taylor expansion of 1/2 in m 13.125 * [backup-simplify]: Simplify 1/2 into 1/2 13.125 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.125 * [taylor]: Taking taylor expansion of (* K n) in m 13.125 * [taylor]: Taking taylor expansion of K in m 13.125 * [backup-simplify]: Simplify K into K 13.125 * [taylor]: Taking taylor expansion of n in m 13.125 * [backup-simplify]: Simplify n into n 13.125 * [backup-simplify]: Simplify (* K n) into (* K n) 13.125 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.125 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.125 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 13.125 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.125 * [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)))))) 13.125 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 13.125 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 13.126 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.126 * [taylor]: Taking taylor expansion of M in n 13.126 * [backup-simplify]: Simplify M into M 13.126 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.126 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.126 * [taylor]: Taking taylor expansion of 1/2 in n 13.126 * [backup-simplify]: Simplify 1/2 into 1/2 13.126 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.126 * [taylor]: Taking taylor expansion of (* m K) in n 13.126 * [taylor]: Taking taylor expansion of m in n 13.126 * [backup-simplify]: Simplify m into m 13.126 * [taylor]: Taking taylor expansion of K in n 13.126 * [backup-simplify]: Simplify K into K 13.126 * [backup-simplify]: Simplify (* m K) into (* m K) 13.126 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.126 * [taylor]: Taking taylor expansion of 1/2 in n 13.126 * [backup-simplify]: Simplify 1/2 into 1/2 13.126 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.126 * [taylor]: Taking taylor expansion of (* K n) in n 13.126 * [taylor]: Taking taylor expansion of K in n 13.126 * [backup-simplify]: Simplify K into K 13.126 * [taylor]: Taking taylor expansion of n in n 13.126 * [backup-simplify]: Simplify 0 into 0 13.126 * [backup-simplify]: Simplify 1 into 1 13.126 * [backup-simplify]: Simplify (* K 0) into 0 13.126 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.126 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.126 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 13.126 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 13.126 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 13.127 * [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)))))) 13.127 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 13.127 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 13.127 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.127 * [taylor]: Taking taylor expansion of M in M 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify 1 into 1 13.127 * [backup-simplify]: Simplify (/ 1 1) into 1 13.127 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.127 * [taylor]: Taking taylor expansion of 1/2 in M 13.127 * [backup-simplify]: Simplify 1/2 into 1/2 13.127 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.127 * [taylor]: Taking taylor expansion of (* m K) in M 13.127 * [taylor]: Taking taylor expansion of m in M 13.127 * [backup-simplify]: Simplify m into m 13.127 * [taylor]: Taking taylor expansion of K in M 13.127 * [backup-simplify]: Simplify K into K 13.127 * [backup-simplify]: Simplify (* m K) into (* m K) 13.127 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.127 * [taylor]: Taking taylor expansion of 1/2 in M 13.127 * [backup-simplify]: Simplify 1/2 into 1/2 13.127 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.127 * [taylor]: Taking taylor expansion of (* K n) in M 13.127 * [taylor]: Taking taylor expansion of K in M 13.127 * [backup-simplify]: Simplify K into K 13.127 * [taylor]: Taking taylor expansion of n in M 13.127 * [backup-simplify]: Simplify n into n 13.127 * [backup-simplify]: Simplify (* K n) into (* K n) 13.127 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.128 * [backup-simplify]: Simplify (+ 1 0) into 1 13.128 * [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)))))) 13.128 * [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)))))) 13.128 * [taylor]: Taking taylor expansion of 0 in m 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in n 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in M 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in n 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in M 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in M 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in m 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in n 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [taylor]: Taking taylor expansion of 0 in M 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 0 into 0 13.129 * [taylor]: Taking taylor expansion of 0 in n 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [taylor]: Taking taylor expansion of 0 in M 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [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)) 13.129 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 13.129 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 13.129 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 13.129 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 13.129 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.129 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 13.129 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 13.129 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 13.129 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 13.129 * [taylor]: Taking taylor expansion of 1/2 in l 13.129 * [backup-simplify]: Simplify 1/2 into 1/2 13.129 * [taylor]: Taking taylor expansion of m in l 13.129 * [backup-simplify]: Simplify m into m 13.129 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 13.129 * [taylor]: Taking taylor expansion of 1/2 in l 13.129 * [backup-simplify]: Simplify 1/2 into 1/2 13.129 * [taylor]: Taking taylor expansion of n in l 13.129 * [backup-simplify]: Simplify n into n 13.129 * [taylor]: Taking taylor expansion of M in l 13.129 * [backup-simplify]: Simplify M into M 13.129 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 13.129 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 13.129 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 13.129 * [taylor]: Taking taylor expansion of 1/2 in l 13.129 * [backup-simplify]: Simplify 1/2 into 1/2 13.129 * [taylor]: Taking taylor expansion of m in l 13.129 * [backup-simplify]: Simplify m into m 13.129 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 13.129 * [taylor]: Taking taylor expansion of 1/2 in l 13.129 * [backup-simplify]: Simplify 1/2 into 1/2 13.129 * [taylor]: Taking taylor expansion of n in l 13.130 * [backup-simplify]: Simplify n into n 13.130 * [taylor]: Taking taylor expansion of M in l 13.130 * [backup-simplify]: Simplify M into M 13.130 * [taylor]: Taking taylor expansion of l in l 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 13.130 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.130 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 13.130 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.130 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.130 * [taylor]: Taking taylor expansion of 1/2 in M 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of m in M 13.130 * [backup-simplify]: Simplify m into m 13.130 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.130 * [taylor]: Taking taylor expansion of 1/2 in M 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of n in M 13.130 * [backup-simplify]: Simplify n into n 13.130 * [taylor]: Taking taylor expansion of M in M 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.130 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.130 * [taylor]: Taking taylor expansion of 1/2 in M 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of m in M 13.130 * [backup-simplify]: Simplify m into m 13.130 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.130 * [taylor]: Taking taylor expansion of 1/2 in M 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of n in M 13.130 * [backup-simplify]: Simplify n into n 13.130 * [taylor]: Taking taylor expansion of M in M 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [taylor]: Taking taylor expansion of l in M 13.130 * [backup-simplify]: Simplify l into l 13.130 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 13.130 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.130 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 13.130 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.130 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.130 * [taylor]: Taking taylor expansion of 1/2 in n 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of m in n 13.130 * [backup-simplify]: Simplify m into m 13.130 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.130 * [taylor]: Taking taylor expansion of 1/2 in n 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of n in n 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [taylor]: Taking taylor expansion of M in n 13.130 * [backup-simplify]: Simplify M into M 13.130 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.130 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.130 * [taylor]: Taking taylor expansion of 1/2 in n 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of m in n 13.130 * [backup-simplify]: Simplify m into m 13.130 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.130 * [taylor]: Taking taylor expansion of 1/2 in n 13.130 * [backup-simplify]: Simplify 1/2 into 1/2 13.130 * [taylor]: Taking taylor expansion of n in n 13.130 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [taylor]: Taking taylor expansion of M in n 13.131 * [backup-simplify]: Simplify M into M 13.131 * [taylor]: Taking taylor expansion of l in n 13.131 * [backup-simplify]: Simplify l into l 13.131 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 13.131 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.131 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 13.131 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.131 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of m in m 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of n in m 13.131 * [backup-simplify]: Simplify n into n 13.131 * [taylor]: Taking taylor expansion of M in m 13.131 * [backup-simplify]: Simplify M into M 13.131 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.131 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of m in m 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of n in m 13.131 * [backup-simplify]: Simplify n into n 13.131 * [taylor]: Taking taylor expansion of M in m 13.131 * [backup-simplify]: Simplify M into M 13.131 * [taylor]: Taking taylor expansion of l in m 13.131 * [backup-simplify]: Simplify l into l 13.131 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 13.131 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.131 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 13.131 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.131 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of m in m 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of n in m 13.131 * [backup-simplify]: Simplify n into n 13.131 * [taylor]: Taking taylor expansion of M in m 13.131 * [backup-simplify]: Simplify M into M 13.131 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.131 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of m in m 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.131 * [taylor]: Taking taylor expansion of 1/2 in m 13.131 * [backup-simplify]: Simplify 1/2 into 1/2 13.131 * [taylor]: Taking taylor expansion of n in m 13.132 * [backup-simplify]: Simplify n into n 13.132 * [taylor]: Taking taylor expansion of M in m 13.132 * [backup-simplify]: Simplify M into M 13.132 * [taylor]: Taking taylor expansion of l in m 13.132 * [backup-simplify]: Simplify l into l 13.132 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.132 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.132 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.132 * [backup-simplify]: Simplify (- M) into (- M) 13.132 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.132 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.132 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.133 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.133 * [backup-simplify]: Simplify (- M) into (- M) 13.133 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.133 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 13.133 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 13.133 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 13.133 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 13.133 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.133 * [taylor]: Taking taylor expansion of M in n 13.133 * [backup-simplify]: Simplify M into M 13.133 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 13.133 * [taylor]: Taking taylor expansion of l in n 13.133 * [backup-simplify]: Simplify l into l 13.133 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 13.133 * [taylor]: Taking taylor expansion of 1/4 in n 13.133 * [backup-simplify]: Simplify 1/4 into 1/4 13.133 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.133 * [taylor]: Taking taylor expansion of n in n 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [taylor]: Taking taylor expansion of (* M n) in n 13.133 * [taylor]: Taking taylor expansion of M in n 13.133 * [backup-simplify]: Simplify M into M 13.133 * [taylor]: Taking taylor expansion of n in n 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.133 * [backup-simplify]: Simplify (+ l 0) into l 13.133 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 13.133 * [backup-simplify]: Simplify (* M 0) into 0 13.134 * [backup-simplify]: Simplify (- 0) into 0 13.134 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 13.134 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 13.134 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.134 * [taylor]: Taking taylor expansion of M in M 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify 1 into 1 13.134 * [taylor]: Taking taylor expansion of l in M 13.134 * [backup-simplify]: Simplify l into l 13.134 * [backup-simplify]: Simplify (+ 0 l) into l 13.134 * [taylor]: Taking taylor expansion of l in l 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.135 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.135 * [backup-simplify]: Simplify (- 0) into 0 13.135 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.136 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.136 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.137 * [backup-simplify]: Simplify (- 0) into 0 13.137 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.137 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 13.137 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 13.137 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 13.137 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.137 * [taylor]: Taking taylor expansion of 1/2 in n 13.137 * [backup-simplify]: Simplify 1/2 into 1/2 13.137 * [taylor]: Taking taylor expansion of n in n 13.137 * [backup-simplify]: Simplify 0 into 0 13.137 * [backup-simplify]: Simplify 1 into 1 13.137 * [taylor]: Taking taylor expansion of M in n 13.137 * [backup-simplify]: Simplify M into M 13.138 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.138 * [backup-simplify]: Simplify (- M) into (- M) 13.138 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.138 * [taylor]: Taking taylor expansion of (- M) in M 13.138 * [taylor]: Taking taylor expansion of M in M 13.138 * [backup-simplify]: Simplify 0 into 0 13.138 * [backup-simplify]: Simplify 1 into 1 13.138 * [backup-simplify]: Simplify (- 0) into 0 13.138 * [taylor]: Taking taylor expansion of 0 in l 13.138 * [backup-simplify]: Simplify 0 into 0 13.138 * [backup-simplify]: Simplify 0 into 0 13.138 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.138 * [backup-simplify]: Simplify (+ 0 0) into 0 13.138 * [backup-simplify]: Simplify (+ 0 0) into 0 13.139 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.139 * [backup-simplify]: Simplify (- M) into (- M) 13.139 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.139 * [taylor]: Taking taylor expansion of (- M) in M 13.139 * [taylor]: Taking taylor expansion of M in M 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [backup-simplify]: Simplify (- 0) into 0 13.139 * [taylor]: Taking taylor expansion of 0 in l 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify (+ 0 0) into 0 13.139 * [taylor]: Taking taylor expansion of 0 in l 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 1 into 1 13.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.141 * [backup-simplify]: Simplify (+ 0 0) into 0 13.141 * [backup-simplify]: Simplify (- 0) into 0 13.141 * [backup-simplify]: Simplify (+ 0 0) into 0 13.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.143 * [backup-simplify]: Simplify (+ 0 0) into 0 13.143 * [backup-simplify]: Simplify (- 0) into 0 13.143 * [backup-simplify]: Simplify (+ 0 0) into 0 13.144 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 13.144 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.144 * [taylor]: Taking taylor expansion of 1/4 in n 13.144 * [backup-simplify]: Simplify 1/4 into 1/4 13.144 * [taylor]: Taking taylor expansion of 1/4 in M 13.144 * [backup-simplify]: Simplify 1/4 into 1/4 13.144 * [taylor]: Taking taylor expansion of 1/4 in l 13.144 * [backup-simplify]: Simplify 1/4 into 1/4 13.144 * [backup-simplify]: Simplify 1/4 into 1/4 13.145 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.145 * [backup-simplify]: Simplify (- 0) into 0 13.145 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.145 * [taylor]: Taking taylor expansion of 1/2 in M 13.145 * [backup-simplify]: Simplify 1/2 into 1/2 13.145 * [taylor]: Taking taylor expansion of 1/2 in l 13.145 * [backup-simplify]: Simplify 1/2 into 1/2 13.146 * [backup-simplify]: Simplify 1/2 into 1/2 13.146 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 13.147 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 13.147 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 13.147 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 13.147 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.147 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 13.147 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 13.147 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.147 * [taylor]: Taking taylor expansion of 1/2 in l 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.147 * [taylor]: Taking taylor expansion of m in l 13.147 * [backup-simplify]: Simplify m into m 13.147 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.147 * [taylor]: Taking taylor expansion of 1/2 in l 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.147 * [taylor]: Taking taylor expansion of n in l 13.147 * [backup-simplify]: Simplify n into n 13.147 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.147 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.147 * [taylor]: Taking taylor expansion of M in l 13.147 * [backup-simplify]: Simplify M into M 13.147 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.148 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 13.148 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.148 * [taylor]: Taking taylor expansion of 1/2 in l 13.148 * [backup-simplify]: Simplify 1/2 into 1/2 13.148 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.148 * [taylor]: Taking taylor expansion of m in l 13.148 * [backup-simplify]: Simplify m into m 13.148 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.148 * [taylor]: Taking taylor expansion of 1/2 in l 13.148 * [backup-simplify]: Simplify 1/2 into 1/2 13.148 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.148 * [taylor]: Taking taylor expansion of n in l 13.148 * [backup-simplify]: Simplify n into n 13.148 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.148 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.148 * [taylor]: Taking taylor expansion of M in l 13.148 * [backup-simplify]: Simplify M into M 13.148 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.148 * [taylor]: Taking taylor expansion of (/ 1 l) in l 13.148 * [taylor]: Taking taylor expansion of l in l 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 1 into 1 13.148 * [backup-simplify]: Simplify (/ 1 1) into 1 13.149 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 13.149 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.149 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 13.149 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.149 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.149 * [taylor]: Taking taylor expansion of 1/2 in M 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.149 * [taylor]: Taking taylor expansion of m in M 13.149 * [backup-simplify]: Simplify m into m 13.149 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.149 * [taylor]: Taking taylor expansion of 1/2 in M 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.149 * [taylor]: Taking taylor expansion of n in M 13.149 * [backup-simplify]: Simplify n into n 13.149 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.149 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.149 * [taylor]: Taking taylor expansion of M in M 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.150 * [backup-simplify]: Simplify (/ 1 1) into 1 13.150 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.150 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.150 * [taylor]: Taking taylor expansion of 1/2 in M 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.150 * [taylor]: Taking taylor expansion of m in M 13.150 * [backup-simplify]: Simplify m into m 13.150 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.150 * [taylor]: Taking taylor expansion of 1/2 in M 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.150 * [taylor]: Taking taylor expansion of n in M 13.150 * [backup-simplify]: Simplify n into n 13.150 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.150 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.150 * [taylor]: Taking taylor expansion of M in M 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [backup-simplify]: Simplify (/ 1 1) into 1 13.150 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.150 * [taylor]: Taking taylor expansion of l in M 13.150 * [backup-simplify]: Simplify l into l 13.151 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.151 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 13.151 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.151 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 13.151 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.151 * [taylor]: Taking taylor expansion of 1/2 in n 13.151 * [backup-simplify]: Simplify 1/2 into 1/2 13.151 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.151 * [taylor]: Taking taylor expansion of m in n 13.151 * [backup-simplify]: Simplify m into m 13.151 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.151 * [taylor]: Taking taylor expansion of 1/2 in n 13.151 * [backup-simplify]: Simplify 1/2 into 1/2 13.151 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.151 * [taylor]: Taking taylor expansion of n in n 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify 1 into 1 13.151 * [backup-simplify]: Simplify (/ 1 1) into 1 13.151 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.151 * [taylor]: Taking taylor expansion of M in n 13.151 * [backup-simplify]: Simplify M into M 13.152 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.152 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.152 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.152 * [taylor]: Taking taylor expansion of 1/2 in n 13.152 * [backup-simplify]: Simplify 1/2 into 1/2 13.152 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.152 * [taylor]: Taking taylor expansion of m in n 13.152 * [backup-simplify]: Simplify m into m 13.152 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.152 * [taylor]: Taking taylor expansion of 1/2 in n 13.152 * [backup-simplify]: Simplify 1/2 into 1/2 13.152 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.152 * [taylor]: Taking taylor expansion of n in n 13.152 * [backup-simplify]: Simplify 0 into 0 13.152 * [backup-simplify]: Simplify 1 into 1 13.152 * [backup-simplify]: Simplify (/ 1 1) into 1 13.152 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.152 * [taylor]: Taking taylor expansion of M in n 13.152 * [backup-simplify]: Simplify M into M 13.152 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.152 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.152 * [taylor]: Taking taylor expansion of l in n 13.153 * [backup-simplify]: Simplify l into l 13.153 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.153 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 13.153 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.153 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 13.153 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.153 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.153 * [taylor]: Taking taylor expansion of 1/2 in m 13.153 * [backup-simplify]: Simplify 1/2 into 1/2 13.153 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.153 * [taylor]: Taking taylor expansion of m in m 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.153 * [backup-simplify]: Simplify (/ 1 1) into 1 13.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.153 * [taylor]: Taking taylor expansion of 1/2 in m 13.153 * [backup-simplify]: Simplify 1/2 into 1/2 13.153 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.153 * [taylor]: Taking taylor expansion of n in m 13.153 * [backup-simplify]: Simplify n into n 13.153 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.153 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.154 * [taylor]: Taking taylor expansion of M in m 13.154 * [backup-simplify]: Simplify M into M 13.154 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.154 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.154 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.154 * [taylor]: Taking taylor expansion of 1/2 in m 13.154 * [backup-simplify]: Simplify 1/2 into 1/2 13.154 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.154 * [taylor]: Taking taylor expansion of m in m 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.154 * [taylor]: Taking taylor expansion of 1/2 in m 13.154 * [backup-simplify]: Simplify 1/2 into 1/2 13.154 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.154 * [taylor]: Taking taylor expansion of n in m 13.154 * [backup-simplify]: Simplify n into n 13.154 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.154 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.154 * [taylor]: Taking taylor expansion of M in m 13.154 * [backup-simplify]: Simplify M into M 13.154 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.155 * [taylor]: Taking taylor expansion of (/ 1 l) in m 13.155 * [taylor]: Taking taylor expansion of l in m 13.155 * [backup-simplify]: Simplify l into l 13.155 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.155 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 13.155 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.155 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 13.155 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.155 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.155 * [taylor]: Taking taylor expansion of 1/2 in m 13.155 * [backup-simplify]: Simplify 1/2 into 1/2 13.155 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.155 * [taylor]: Taking taylor expansion of m in m 13.155 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify 1 into 1 13.155 * [backup-simplify]: Simplify (/ 1 1) into 1 13.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.155 * [taylor]: Taking taylor expansion of 1/2 in m 13.155 * [backup-simplify]: Simplify 1/2 into 1/2 13.155 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.155 * [taylor]: Taking taylor expansion of n in m 13.155 * [backup-simplify]: Simplify n into n 13.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.156 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.156 * [taylor]: Taking taylor expansion of M in m 13.156 * [backup-simplify]: Simplify M into M 13.156 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.156 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.156 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.156 * [taylor]: Taking taylor expansion of 1/2 in m 13.156 * [backup-simplify]: Simplify 1/2 into 1/2 13.156 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.156 * [taylor]: Taking taylor expansion of m in m 13.156 * [backup-simplify]: Simplify 0 into 0 13.156 * [backup-simplify]: Simplify 1 into 1 13.156 * [backup-simplify]: Simplify (/ 1 1) into 1 13.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.156 * [taylor]: Taking taylor expansion of 1/2 in m 13.156 * [backup-simplify]: Simplify 1/2 into 1/2 13.156 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.156 * [taylor]: Taking taylor expansion of n in m 13.156 * [backup-simplify]: Simplify n into n 13.156 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.156 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.156 * [taylor]: Taking taylor expansion of M in m 13.156 * [backup-simplify]: Simplify M into M 13.157 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.157 * [taylor]: Taking taylor expansion of (/ 1 l) in m 13.157 * [taylor]: Taking taylor expansion of l in m 13.157 * [backup-simplify]: Simplify l into l 13.157 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.157 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.157 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.158 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.158 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.159 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.159 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.159 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.160 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.160 * [taylor]: Taking taylor expansion of 1/4 in n 13.160 * [backup-simplify]: Simplify 1/4 into 1/4 13.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.161 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.161 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.161 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.162 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.163 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.163 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.163 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.163 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.164 * [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)) 13.164 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.164 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.164 * [taylor]: Taking taylor expansion of 1/2 in n 13.164 * [backup-simplify]: Simplify 1/2 into 1/2 13.164 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.164 * [taylor]: Taking taylor expansion of n in n 13.164 * [backup-simplify]: Simplify 0 into 0 13.164 * [backup-simplify]: Simplify 1 into 1 13.164 * [backup-simplify]: Simplify (/ 1 1) into 1 13.164 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.164 * [taylor]: Taking taylor expansion of M in n 13.164 * [backup-simplify]: Simplify M into M 13.164 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.167 * [backup-simplify]: Simplify (+ 0 0) into 0 13.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.167 * [backup-simplify]: Simplify (- 0) into 0 13.168 * [backup-simplify]: Simplify (+ 0 0) into 0 13.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.169 * [backup-simplify]: Simplify (+ 0 0) into 0 13.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.170 * [backup-simplify]: Simplify (- 0) into 0 13.170 * [backup-simplify]: Simplify (+ 0 0) into 0 13.171 * [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))) 13.171 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 13.171 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 13.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 13.171 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.171 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.171 * [taylor]: Taking taylor expansion of M in n 13.171 * [backup-simplify]: Simplify M into M 13.171 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.171 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.171 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 13.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.171 * [taylor]: Taking taylor expansion of 1/4 in n 13.171 * [backup-simplify]: Simplify 1/4 into 1/4 13.171 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.171 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.171 * [taylor]: Taking taylor expansion of n in n 13.171 * [backup-simplify]: Simplify 0 into 0 13.171 * [backup-simplify]: Simplify 1 into 1 13.171 * [backup-simplify]: Simplify (* 1 1) into 1 13.172 * [backup-simplify]: Simplify (/ 1 1) into 1 13.172 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.172 * [taylor]: Taking taylor expansion of l in n 13.172 * [backup-simplify]: Simplify l into l 13.172 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.172 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.172 * [taylor]: Taking taylor expansion of (* M n) in n 13.172 * [taylor]: Taking taylor expansion of M in n 13.172 * [backup-simplify]: Simplify M into M 13.172 * [taylor]: Taking taylor expansion of n in n 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 1 into 1 13.172 * [backup-simplify]: Simplify (* M 0) into 0 13.172 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.172 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.172 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.173 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.173 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.173 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.173 * [taylor]: Taking taylor expansion of 1/4 in M 13.173 * [backup-simplify]: Simplify 1/4 into 1/4 13.174 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.174 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.174 * [taylor]: Taking taylor expansion of 1/2 in M 13.174 * [backup-simplify]: Simplify 1/2 into 1/2 13.174 * [taylor]: Taking taylor expansion of 1/4 in M 13.174 * [backup-simplify]: Simplify 1/4 into 1/4 13.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.177 * [backup-simplify]: Simplify (+ 0 0) into 0 13.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.177 * [backup-simplify]: Simplify (- 0) into 0 13.178 * [backup-simplify]: Simplify (+ 0 0) into 0 13.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.181 * [backup-simplify]: Simplify (+ 0 0) into 0 13.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.181 * [backup-simplify]: Simplify (- 0) into 0 13.181 * [backup-simplify]: Simplify (+ 0 0) into 0 13.182 * [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 13.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.183 * [backup-simplify]: Simplify (+ 0 0) into 0 13.183 * [taylor]: Taking taylor expansion of 0 in n 13.183 * [backup-simplify]: Simplify 0 into 0 13.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.185 * [backup-simplify]: Simplify (+ 0 0) into 0 13.186 * [backup-simplify]: Simplify (+ 0 0) into 0 13.186 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.186 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.186 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.186 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.186 * [taylor]: Taking taylor expansion of M in M 13.186 * [backup-simplify]: Simplify 0 into 0 13.186 * [backup-simplify]: Simplify 1 into 1 13.186 * [backup-simplify]: Simplify (/ 1 1) into 1 13.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.188 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.188 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.188 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.188 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.188 * [taylor]: Taking taylor expansion of M in M 13.188 * [backup-simplify]: Simplify 0 into 0 13.188 * [backup-simplify]: Simplify 1 into 1 13.188 * [backup-simplify]: Simplify (/ 1 1) into 1 13.188 * [taylor]: Taking taylor expansion of 0 in M 13.188 * [backup-simplify]: Simplify 0 into 0 13.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.192 * [backup-simplify]: Simplify (+ 0 0) into 0 13.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.193 * [backup-simplify]: Simplify (- 0) into 0 13.193 * [backup-simplify]: Simplify (+ 0 0) into 0 13.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.197 * [backup-simplify]: Simplify (+ 0 0) into 0 13.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.197 * [backup-simplify]: Simplify (- 0) into 0 13.198 * [backup-simplify]: Simplify (+ 0 0) into 0 13.199 * [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 13.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.199 * [backup-simplify]: Simplify (+ 0 0) into 0 13.199 * [taylor]: Taking taylor expansion of 0 in n 13.199 * [backup-simplify]: Simplify 0 into 0 13.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.202 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 13.202 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 13.203 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.203 * [backup-simplify]: Simplify (- 0) into 0 13.203 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 13.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 13.203 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.203 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.203 * [taylor]: Taking taylor expansion of M in M 13.203 * [backup-simplify]: Simplify 0 into 0 13.203 * [backup-simplify]: Simplify 1 into 1 13.204 * [backup-simplify]: Simplify (* 1 1) into 1 13.204 * [backup-simplify]: Simplify (/ 1 1) into 1 13.204 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.204 * [taylor]: Taking taylor expansion of l in M 13.204 * [backup-simplify]: Simplify l into l 13.204 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.205 * [backup-simplify]: Simplify (+ 1 0) into 1 13.205 * [taylor]: Taking taylor expansion of 1 in l 13.205 * [backup-simplify]: Simplify 1 into 1 13.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.207 * [backup-simplify]: Simplify (- 0) into 0 13.207 * [backup-simplify]: Simplify (+ 0 0) into 0 13.207 * [taylor]: Taking taylor expansion of 0 in M 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [taylor]: Taking taylor expansion of 0 in M 13.207 * [backup-simplify]: Simplify 0 into 0 13.208 * [backup-simplify]: Simplify (- 1) into -1 13.208 * [taylor]: Taking taylor expansion of -1 in l 13.208 * [backup-simplify]: Simplify -1 into -1 13.208 * [backup-simplify]: Simplify (- 1) into -1 13.208 * [taylor]: Taking taylor expansion of -1 in l 13.208 * [backup-simplify]: Simplify -1 into -1 13.208 * [taylor]: Taking taylor expansion of 1/4 in l 13.208 * [backup-simplify]: Simplify 1/4 into 1/4 13.208 * [taylor]: Taking taylor expansion of 1/2 in l 13.208 * [backup-simplify]: Simplify 1/2 into 1/2 13.208 * [taylor]: Taking taylor expansion of 1/4 in l 13.208 * [backup-simplify]: Simplify 1/4 into 1/4 13.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.213 * [backup-simplify]: Simplify (+ 0 0) into 0 13.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.213 * [backup-simplify]: Simplify (- 0) into 0 13.213 * [backup-simplify]: Simplify (+ 0 0) into 0 13.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.218 * [backup-simplify]: Simplify (+ 0 0) into 0 13.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.218 * [backup-simplify]: Simplify (- 0) into 0 13.218 * [backup-simplify]: Simplify (+ 0 0) into 0 13.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 13.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.221 * [backup-simplify]: Simplify (+ 0 0) into 0 13.221 * [taylor]: Taking taylor expansion of 0 in n 13.221 * [backup-simplify]: Simplify 0 into 0 13.221 * [taylor]: Taking taylor expansion of 0 in M 13.221 * [backup-simplify]: Simplify 0 into 0 13.221 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 13.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.224 * [backup-simplify]: Simplify (+ 0 0) into 0 13.225 * [backup-simplify]: Simplify (+ 0 0) into 0 13.225 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.226 * [backup-simplify]: Simplify (- 0) into 0 13.226 * [backup-simplify]: Simplify (+ 0 0) into 0 13.226 * [taylor]: Taking taylor expansion of 0 in M 13.226 * [backup-simplify]: Simplify 0 into 0 13.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.228 * [backup-simplify]: Simplify (- 0) into 0 13.229 * [backup-simplify]: Simplify (+ 0 0) into 0 13.229 * [taylor]: Taking taylor expansion of 0 in M 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [taylor]: Taking taylor expansion of 0 in M 13.229 * [backup-simplify]: Simplify 0 into 0 13.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.230 * [backup-simplify]: Simplify (+ 0 0) into 0 13.230 * [taylor]: Taking taylor expansion of 0 in l 13.230 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.235 * [backup-simplify]: Simplify (- 0) into 0 13.236 * [taylor]: Taking taylor expansion of 0 in l 13.236 * [backup-simplify]: Simplify 0 into 0 13.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.237 * [backup-simplify]: Simplify (- 0) into 0 13.237 * [taylor]: Taking taylor expansion of 0 in l 13.237 * [backup-simplify]: Simplify 0 into 0 13.237 * [taylor]: Taking taylor expansion of 0 in l 13.237 * [backup-simplify]: Simplify 0 into 0 13.237 * [taylor]: Taking taylor expansion of 0 in l 13.237 * [backup-simplify]: Simplify 0 into 0 13.237 * [taylor]: Taking taylor expansion of 0 in l 13.237 * [backup-simplify]: Simplify 0 into 0 13.237 * [taylor]: Taking taylor expansion of 0 in l 13.237 * [backup-simplify]: Simplify 0 into 0 13.237 * [backup-simplify]: Simplify 1 into 1 13.237 * [backup-simplify]: Simplify -1 into -1 13.237 * [backup-simplify]: Simplify -1 into -1 13.238 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 13.238 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 13.238 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 13.238 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 13.239 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.239 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 13.239 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 13.239 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.239 * [taylor]: Taking taylor expansion of M in l 13.239 * [backup-simplify]: Simplify M into M 13.239 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.239 * [taylor]: Taking taylor expansion of 1/2 in l 13.239 * [backup-simplify]: Simplify 1/2 into 1/2 13.239 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.239 * [taylor]: Taking taylor expansion of m in l 13.239 * [backup-simplify]: Simplify m into m 13.239 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.239 * [taylor]: Taking taylor expansion of 1/2 in l 13.239 * [backup-simplify]: Simplify 1/2 into 1/2 13.239 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.239 * [taylor]: Taking taylor expansion of n in l 13.239 * [backup-simplify]: Simplify n into n 13.239 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.239 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 13.239 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.239 * [taylor]: Taking taylor expansion of M in l 13.239 * [backup-simplify]: Simplify M into M 13.239 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.239 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.239 * [taylor]: Taking taylor expansion of 1/2 in l 13.239 * [backup-simplify]: Simplify 1/2 into 1/2 13.239 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.239 * [taylor]: Taking taylor expansion of m in l 13.240 * [backup-simplify]: Simplify m into m 13.240 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.240 * [taylor]: Taking taylor expansion of 1/2 in l 13.240 * [backup-simplify]: Simplify 1/2 into 1/2 13.240 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.240 * [taylor]: Taking taylor expansion of n in l 13.240 * [backup-simplify]: Simplify n into n 13.240 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.240 * [taylor]: Taking taylor expansion of (/ -1 l) in l 13.240 * [taylor]: Taking taylor expansion of -1 in l 13.240 * [backup-simplify]: Simplify -1 into -1 13.240 * [taylor]: Taking taylor expansion of l in l 13.240 * [backup-simplify]: Simplify 0 into 0 13.240 * [backup-simplify]: Simplify 1 into 1 13.240 * [backup-simplify]: Simplify (/ -1 1) into -1 13.240 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 13.240 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.240 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 13.240 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.240 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.241 * [taylor]: Taking taylor expansion of M in M 13.241 * [backup-simplify]: Simplify 0 into 0 13.241 * [backup-simplify]: Simplify 1 into 1 13.241 * [backup-simplify]: Simplify (/ 1 1) into 1 13.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.241 * [taylor]: Taking taylor expansion of 1/2 in M 13.241 * [backup-simplify]: Simplify 1/2 into 1/2 13.241 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.241 * [taylor]: Taking taylor expansion of m in M 13.241 * [backup-simplify]: Simplify m into m 13.241 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.241 * [taylor]: Taking taylor expansion of 1/2 in M 13.241 * [backup-simplify]: Simplify 1/2 into 1/2 13.241 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.241 * [taylor]: Taking taylor expansion of n in M 13.241 * [backup-simplify]: Simplify n into n 13.241 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.241 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.241 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.241 * [taylor]: Taking taylor expansion of M in M 13.241 * [backup-simplify]: Simplify 0 into 0 13.241 * [backup-simplify]: Simplify 1 into 1 13.242 * [backup-simplify]: Simplify (/ 1 1) into 1 13.242 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.242 * [taylor]: Taking taylor expansion of 1/2 in M 13.242 * [backup-simplify]: Simplify 1/2 into 1/2 13.242 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.242 * [taylor]: Taking taylor expansion of m in M 13.242 * [backup-simplify]: Simplify m into m 13.242 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.242 * [taylor]: Taking taylor expansion of 1/2 in M 13.242 * [backup-simplify]: Simplify 1/2 into 1/2 13.242 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.242 * [taylor]: Taking taylor expansion of n in M 13.242 * [backup-simplify]: Simplify n into n 13.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.242 * [taylor]: Taking taylor expansion of (/ -1 l) in M 13.242 * [taylor]: Taking taylor expansion of -1 in M 13.242 * [backup-simplify]: Simplify -1 into -1 13.242 * [taylor]: Taking taylor expansion of l in M 13.242 * [backup-simplify]: Simplify l into l 13.242 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.242 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 13.242 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.242 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 13.242 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.243 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.243 * [taylor]: Taking taylor expansion of M in n 13.243 * [backup-simplify]: Simplify M into M 13.243 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.243 * [taylor]: Taking taylor expansion of 1/2 in n 13.243 * [backup-simplify]: Simplify 1/2 into 1/2 13.243 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.243 * [taylor]: Taking taylor expansion of m in n 13.243 * [backup-simplify]: Simplify m into m 13.243 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.243 * [taylor]: Taking taylor expansion of 1/2 in n 13.243 * [backup-simplify]: Simplify 1/2 into 1/2 13.243 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.243 * [taylor]: Taking taylor expansion of n in n 13.243 * [backup-simplify]: Simplify 0 into 0 13.243 * [backup-simplify]: Simplify 1 into 1 13.244 * [backup-simplify]: Simplify (/ 1 1) into 1 13.244 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.244 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.244 * [taylor]: Taking taylor expansion of M in n 13.244 * [backup-simplify]: Simplify M into M 13.244 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.244 * [taylor]: Taking taylor expansion of 1/2 in n 13.244 * [backup-simplify]: Simplify 1/2 into 1/2 13.244 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.244 * [taylor]: Taking taylor expansion of m in n 13.244 * [backup-simplify]: Simplify m into m 13.244 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.244 * [taylor]: Taking taylor expansion of 1/2 in n 13.244 * [backup-simplify]: Simplify 1/2 into 1/2 13.244 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.244 * [taylor]: Taking taylor expansion of n in n 13.244 * [backup-simplify]: Simplify 0 into 0 13.244 * [backup-simplify]: Simplify 1 into 1 13.244 * [backup-simplify]: Simplify (/ 1 1) into 1 13.244 * [taylor]: Taking taylor expansion of (/ -1 l) in n 13.245 * [taylor]: Taking taylor expansion of -1 in n 13.245 * [backup-simplify]: Simplify -1 into -1 13.245 * [taylor]: Taking taylor expansion of l in n 13.245 * [backup-simplify]: Simplify l into l 13.245 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.245 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 13.245 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.245 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 13.245 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.245 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.245 * [taylor]: Taking taylor expansion of M in m 13.245 * [backup-simplify]: Simplify M into M 13.245 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.245 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.245 * [taylor]: Taking taylor expansion of 1/2 in m 13.245 * [backup-simplify]: Simplify 1/2 into 1/2 13.245 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.245 * [taylor]: Taking taylor expansion of m in m 13.245 * [backup-simplify]: Simplify 0 into 0 13.245 * [backup-simplify]: Simplify 1 into 1 13.245 * [backup-simplify]: Simplify (/ 1 1) into 1 13.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.245 * [taylor]: Taking taylor expansion of 1/2 in m 13.246 * [backup-simplify]: Simplify 1/2 into 1/2 13.246 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.246 * [taylor]: Taking taylor expansion of n in m 13.246 * [backup-simplify]: Simplify n into n 13.246 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.246 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.246 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.246 * [taylor]: Taking taylor expansion of M in m 13.246 * [backup-simplify]: Simplify M into M 13.246 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.246 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.246 * [taylor]: Taking taylor expansion of 1/2 in m 13.246 * [backup-simplify]: Simplify 1/2 into 1/2 13.246 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.246 * [taylor]: Taking taylor expansion of m in m 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [backup-simplify]: Simplify (/ 1 1) into 1 13.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.247 * [taylor]: Taking taylor expansion of 1/2 in m 13.247 * [backup-simplify]: Simplify 1/2 into 1/2 13.247 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.247 * [taylor]: Taking taylor expansion of n in m 13.247 * [backup-simplify]: Simplify n into n 13.247 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.247 * [taylor]: Taking taylor expansion of (/ -1 l) in m 13.247 * [taylor]: Taking taylor expansion of -1 in m 13.247 * [backup-simplify]: Simplify -1 into -1 13.247 * [taylor]: Taking taylor expansion of l in m 13.247 * [backup-simplify]: Simplify l into l 13.247 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.247 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 13.247 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.247 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 13.247 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.247 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.247 * [taylor]: Taking taylor expansion of M in m 13.247 * [backup-simplify]: Simplify M into M 13.247 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.247 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.247 * [taylor]: Taking taylor expansion of 1/2 in m 13.247 * [backup-simplify]: Simplify 1/2 into 1/2 13.247 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.247 * [taylor]: Taking taylor expansion of m in m 13.247 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify 1 into 1 13.248 * [backup-simplify]: Simplify (/ 1 1) into 1 13.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.248 * [taylor]: Taking taylor expansion of 1/2 in m 13.248 * [backup-simplify]: Simplify 1/2 into 1/2 13.248 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.248 * [taylor]: Taking taylor expansion of n in m 13.248 * [backup-simplify]: Simplify n into n 13.248 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.248 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.248 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.248 * [taylor]: Taking taylor expansion of M in m 13.248 * [backup-simplify]: Simplify M into M 13.248 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.248 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.248 * [taylor]: Taking taylor expansion of 1/2 in m 13.248 * [backup-simplify]: Simplify 1/2 into 1/2 13.248 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.248 * [taylor]: Taking taylor expansion of m in m 13.248 * [backup-simplify]: Simplify 0 into 0 13.248 * [backup-simplify]: Simplify 1 into 1 13.249 * [backup-simplify]: Simplify (/ 1 1) into 1 13.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.249 * [taylor]: Taking taylor expansion of 1/2 in m 13.249 * [backup-simplify]: Simplify 1/2 into 1/2 13.249 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.249 * [taylor]: Taking taylor expansion of n in m 13.249 * [backup-simplify]: Simplify n into n 13.249 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.249 * [taylor]: Taking taylor expansion of (/ -1 l) in m 13.249 * [taylor]: Taking taylor expansion of -1 in m 13.249 * [backup-simplify]: Simplify -1 into -1 13.249 * [taylor]: Taking taylor expansion of l in m 13.249 * [backup-simplify]: Simplify l into l 13.249 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.250 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.250 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.251 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.251 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.252 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.252 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.252 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.253 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.253 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 13.254 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.254 * [taylor]: Taking taylor expansion of 1/4 in n 13.254 * [backup-simplify]: Simplify 1/4 into 1/4 13.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.255 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.255 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.256 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.256 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.258 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.258 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.258 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.258 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.258 * [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)) 13.259 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.259 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.259 * [taylor]: Taking taylor expansion of 1/2 in n 13.259 * [backup-simplify]: Simplify 1/2 into 1/2 13.259 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.259 * [taylor]: Taking taylor expansion of n in n 13.259 * [backup-simplify]: Simplify 0 into 0 13.259 * [backup-simplify]: Simplify 1 into 1 13.259 * [backup-simplify]: Simplify (/ 1 1) into 1 13.259 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.259 * [taylor]: Taking taylor expansion of M in n 13.259 * [backup-simplify]: Simplify M into M 13.259 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.263 * [backup-simplify]: Simplify (+ 0 0) into 0 13.263 * [backup-simplify]: Simplify (- 0) into 0 13.263 * [backup-simplify]: Simplify (+ 0 0) into 0 13.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.266 * [backup-simplify]: Simplify (+ 0 0) into 0 13.267 * [backup-simplify]: Simplify (- 0) into 0 13.267 * [backup-simplify]: Simplify (+ 0 0) into 0 13.269 * [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))) 13.269 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 13.269 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 13.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 13.269 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.269 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.269 * [taylor]: Taking taylor expansion of M in n 13.269 * [backup-simplify]: Simplify M into M 13.269 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.269 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.270 * [taylor]: Taking taylor expansion of 1/4 in n 13.270 * [backup-simplify]: Simplify 1/4 into 1/4 13.270 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.270 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.270 * [taylor]: Taking taylor expansion of n in n 13.270 * [backup-simplify]: Simplify 0 into 0 13.270 * [backup-simplify]: Simplify 1 into 1 13.270 * [backup-simplify]: Simplify (* 1 1) into 1 13.270 * [backup-simplify]: Simplify (/ 1 1) into 1 13.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 13.271 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.271 * [taylor]: Taking taylor expansion of (* M n) in n 13.271 * [taylor]: Taking taylor expansion of M in n 13.271 * [backup-simplify]: Simplify M into M 13.271 * [taylor]: Taking taylor expansion of n in n 13.271 * [backup-simplify]: Simplify 0 into 0 13.271 * [backup-simplify]: Simplify 1 into 1 13.271 * [backup-simplify]: Simplify (* M 0) into 0 13.271 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.271 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.271 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.271 * [taylor]: Taking taylor expansion of l in n 13.271 * [backup-simplify]: Simplify l into l 13.271 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.272 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.272 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.273 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.273 * [taylor]: Taking taylor expansion of 1/4 in M 13.273 * [backup-simplify]: Simplify 1/4 into 1/4 13.273 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.274 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.274 * [taylor]: Taking taylor expansion of 1/2 in M 13.274 * [backup-simplify]: Simplify 1/2 into 1/2 13.274 * [taylor]: Taking taylor expansion of 1/4 in M 13.274 * [backup-simplify]: Simplify 1/4 into 1/4 13.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.277 * [backup-simplify]: Simplify (+ 0 0) into 0 13.277 * [backup-simplify]: Simplify (- 0) into 0 13.277 * [backup-simplify]: Simplify (+ 0 0) into 0 13.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.280 * [backup-simplify]: Simplify (+ 0 0) into 0 13.280 * [backup-simplify]: Simplify (- 0) into 0 13.280 * [backup-simplify]: Simplify (+ 0 0) into 0 13.281 * [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 13.281 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 13.281 * [backup-simplify]: Simplify (+ 0 0) into 0 13.281 * [taylor]: Taking taylor expansion of 0 in n 13.281 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.283 * [backup-simplify]: Simplify (+ 0 0) into 0 13.283 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 13.283 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.283 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.283 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.283 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.283 * [taylor]: Taking taylor expansion of M in M 13.283 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify 1 into 1 13.283 * [backup-simplify]: Simplify (/ 1 1) into 1 13.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.284 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.284 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.284 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.284 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.284 * [taylor]: Taking taylor expansion of M in M 13.284 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (/ 1 1) into 1 13.285 * [taylor]: Taking taylor expansion of 0 in M 13.285 * [backup-simplify]: Simplify 0 into 0 13.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.287 * [backup-simplify]: Simplify (+ 0 0) into 0 13.287 * [backup-simplify]: Simplify (- 0) into 0 13.288 * [backup-simplify]: Simplify (+ 0 0) into 0 13.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.290 * [backup-simplify]: Simplify (+ 0 0) into 0 13.291 * [backup-simplify]: Simplify (- 0) into 0 13.291 * [backup-simplify]: Simplify (+ 0 0) into 0 13.292 * [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 13.292 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.292 * [backup-simplify]: Simplify (+ 0 0) into 0 13.292 * [taylor]: Taking taylor expansion of 0 in n 13.292 * [backup-simplify]: Simplify 0 into 0 13.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.295 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.295 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.295 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 13.295 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 13.296 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 13.296 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 13.296 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.296 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.296 * [taylor]: Taking taylor expansion of M in M 13.296 * [backup-simplify]: Simplify 0 into 0 13.296 * [backup-simplify]: Simplify 1 into 1 13.296 * [backup-simplify]: Simplify (* 1 1) into 1 13.296 * [backup-simplify]: Simplify (/ 1 1) into 1 13.296 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.297 * [taylor]: Taking taylor expansion of l in M 13.297 * [backup-simplify]: Simplify l into l 13.297 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.297 * [backup-simplify]: Simplify (+ 1 0) into 1 13.297 * [taylor]: Taking taylor expansion of 1 in l 13.297 * [backup-simplify]: Simplify 1 into 1 13.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.299 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.299 * [backup-simplify]: Simplify (- 0) into 0 13.300 * [backup-simplify]: Simplify (+ 0 0) into 0 13.300 * [taylor]: Taking taylor expansion of 0 in M 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [taylor]: Taking taylor expansion of 0 in M 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify (- 1) into -1 13.300 * [taylor]: Taking taylor expansion of -1 in l 13.300 * [backup-simplify]: Simplify -1 into -1 13.301 * [backup-simplify]: Simplify (- 1) into -1 13.301 * [taylor]: Taking taylor expansion of -1 in l 13.301 * [backup-simplify]: Simplify -1 into -1 13.301 * [taylor]: Taking taylor expansion of 1/4 in l 13.301 * [backup-simplify]: Simplify 1/4 into 1/4 13.301 * [taylor]: Taking taylor expansion of 1/2 in l 13.301 * [backup-simplify]: Simplify 1/2 into 1/2 13.301 * [taylor]: Taking taylor expansion of 1/4 in l 13.301 * [backup-simplify]: Simplify 1/4 into 1/4 13.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.307 * [backup-simplify]: Simplify (+ 0 0) into 0 13.307 * [backup-simplify]: Simplify (- 0) into 0 13.307 * [backup-simplify]: Simplify (+ 0 0) into 0 13.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.313 * [backup-simplify]: Simplify (+ 0 0) into 0 13.313 * [backup-simplify]: Simplify (- 0) into 0 13.314 * [backup-simplify]: Simplify (+ 0 0) into 0 13.315 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 13.316 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.316 * [backup-simplify]: Simplify (+ 0 0) into 0 13.316 * [taylor]: Taking taylor expansion of 0 in n 13.316 * [backup-simplify]: Simplify 0 into 0 13.316 * [taylor]: Taking taylor expansion of 0 in M 13.316 * [backup-simplify]: Simplify 0 into 0 13.316 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 13.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.320 * [backup-simplify]: Simplify (+ 0 0) into 0 13.320 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.321 * [backup-simplify]: Simplify (+ 0 0) into 0 13.321 * [backup-simplify]: Simplify (- 0) into 0 13.322 * [backup-simplify]: Simplify (+ 0 0) into 0 13.322 * [taylor]: Taking taylor expansion of 0 in M 13.322 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.324 * [backup-simplify]: Simplify (- 0) into 0 13.325 * [backup-simplify]: Simplify (+ 0 0) into 0 13.325 * [taylor]: Taking taylor expansion of 0 in M 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [taylor]: Taking taylor expansion of 0 in M 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.327 * [backup-simplify]: Simplify (+ 0 0) into 0 13.327 * [taylor]: Taking taylor expansion of 0 in l 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.328 * [backup-simplify]: Simplify (- 0) into 0 13.328 * [taylor]: Taking taylor expansion of 0 in l 13.328 * [backup-simplify]: Simplify 0 into 0 13.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.329 * [backup-simplify]: Simplify (- 0) into 0 13.329 * [taylor]: Taking taylor expansion of 0 in l 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [taylor]: Taking taylor expansion of 0 in l 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [taylor]: Taking taylor expansion of 0 in l 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [taylor]: Taking taylor expansion of 0 in l 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [taylor]: Taking taylor expansion of 0 in l 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [backup-simplify]: Simplify 1 into 1 13.329 * [backup-simplify]: Simplify -1 into -1 13.330 * [backup-simplify]: Simplify -1 into -1 13.330 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 13.331 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 13.331 * [backup-simplify]: Simplify (- (* K (/ (+ m n) 2)) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 13.331 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (K m n M) around 0 13.331 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 13.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 13.331 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 13.331 * [taylor]: Taking taylor expansion of 1/2 in M 13.331 * [backup-simplify]: Simplify 1/2 into 1/2 13.331 * [taylor]: Taking taylor expansion of (* K n) in M 13.331 * [taylor]: Taking taylor expansion of K in M 13.331 * [backup-simplify]: Simplify K into K 13.331 * [taylor]: Taking taylor expansion of n in M 13.331 * [backup-simplify]: Simplify n into n 13.331 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 13.331 * [taylor]: Taking taylor expansion of 1/2 in M 13.331 * [backup-simplify]: Simplify 1/2 into 1/2 13.331 * [taylor]: Taking taylor expansion of (* K m) in M 13.331 * [taylor]: Taking taylor expansion of K in M 13.331 * [backup-simplify]: Simplify K into K 13.331 * [taylor]: Taking taylor expansion of m in M 13.331 * [backup-simplify]: Simplify m into m 13.331 * [taylor]: Taking taylor expansion of M in M 13.331 * [backup-simplify]: Simplify 0 into 0 13.331 * [backup-simplify]: Simplify 1 into 1 13.331 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 13.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 13.331 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 13.331 * [taylor]: Taking taylor expansion of 1/2 in n 13.331 * [backup-simplify]: Simplify 1/2 into 1/2 13.331 * [taylor]: Taking taylor expansion of (* K n) in n 13.331 * [taylor]: Taking taylor expansion of K in n 13.331 * [backup-simplify]: Simplify K into K 13.331 * [taylor]: Taking taylor expansion of n in n 13.331 * [backup-simplify]: Simplify 0 into 0 13.331 * [backup-simplify]: Simplify 1 into 1 13.331 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 13.331 * [taylor]: Taking taylor expansion of 1/2 in n 13.332 * [backup-simplify]: Simplify 1/2 into 1/2 13.332 * [taylor]: Taking taylor expansion of (* K m) in n 13.332 * [taylor]: Taking taylor expansion of K in n 13.332 * [backup-simplify]: Simplify K into K 13.332 * [taylor]: Taking taylor expansion of m in n 13.332 * [backup-simplify]: Simplify m into m 13.332 * [taylor]: Taking taylor expansion of M in n 13.332 * [backup-simplify]: Simplify M into M 13.332 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 13.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 13.332 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 13.332 * [taylor]: Taking taylor expansion of 1/2 in m 13.332 * [backup-simplify]: Simplify 1/2 into 1/2 13.332 * [taylor]: Taking taylor expansion of (* K n) in m 13.332 * [taylor]: Taking taylor expansion of K in m 13.332 * [backup-simplify]: Simplify K into K 13.332 * [taylor]: Taking taylor expansion of n in m 13.332 * [backup-simplify]: Simplify n into n 13.332 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 13.332 * [taylor]: Taking taylor expansion of 1/2 in m 13.332 * [backup-simplify]: Simplify 1/2 into 1/2 13.332 * [taylor]: Taking taylor expansion of (* K m) in m 13.332 * [taylor]: Taking taylor expansion of K in m 13.332 * [backup-simplify]: Simplify K into K 13.332 * [taylor]: Taking taylor expansion of m in m 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify 1 into 1 13.332 * [taylor]: Taking taylor expansion of M in m 13.332 * [backup-simplify]: Simplify M into M 13.332 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 13.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 13.332 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.332 * [taylor]: Taking taylor expansion of 1/2 in K 13.332 * [backup-simplify]: Simplify 1/2 into 1/2 13.332 * [taylor]: Taking taylor expansion of (* K n) in K 13.332 * [taylor]: Taking taylor expansion of K in K 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify 1 into 1 13.332 * [taylor]: Taking taylor expansion of n in K 13.332 * [backup-simplify]: Simplify n into n 13.332 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 13.332 * [taylor]: Taking taylor expansion of 1/2 in K 13.332 * [backup-simplify]: Simplify 1/2 into 1/2 13.332 * [taylor]: Taking taylor expansion of (* K m) in K 13.332 * [taylor]: Taking taylor expansion of K in K 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify 1 into 1 13.332 * [taylor]: Taking taylor expansion of m in K 13.333 * [backup-simplify]: Simplify m into m 13.333 * [taylor]: Taking taylor expansion of M in K 13.333 * [backup-simplify]: Simplify M into M 13.333 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 13.333 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 13.333 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.333 * [taylor]: Taking taylor expansion of 1/2 in K 13.333 * [backup-simplify]: Simplify 1/2 into 1/2 13.333 * [taylor]: Taking taylor expansion of (* K n) in K 13.333 * [taylor]: Taking taylor expansion of K in K 13.333 * [backup-simplify]: Simplify 0 into 0 13.333 * [backup-simplify]: Simplify 1 into 1 13.333 * [taylor]: Taking taylor expansion of n in K 13.333 * [backup-simplify]: Simplify n into n 13.333 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 13.333 * [taylor]: Taking taylor expansion of 1/2 in K 13.333 * [backup-simplify]: Simplify 1/2 into 1/2 13.333 * [taylor]: Taking taylor expansion of (* K m) in K 13.333 * [taylor]: Taking taylor expansion of K in K 13.333 * [backup-simplify]: Simplify 0 into 0 13.333 * [backup-simplify]: Simplify 1 into 1 13.333 * [taylor]: Taking taylor expansion of m in K 13.333 * [backup-simplify]: Simplify m into m 13.333 * [taylor]: Taking taylor expansion of M in K 13.333 * [backup-simplify]: Simplify M into M 13.333 * [backup-simplify]: Simplify (* 0 n) into 0 13.334 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.334 * [backup-simplify]: Simplify (* 0 m) into 0 13.334 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.334 * [backup-simplify]: Simplify (+ 0 0) into 0 13.335 * [backup-simplify]: Simplify (- M) into (- M) 13.335 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.335 * [taylor]: Taking taylor expansion of (- M) in m 13.335 * [taylor]: Taking taylor expansion of M in m 13.335 * [backup-simplify]: Simplify M into M 13.335 * [backup-simplify]: Simplify (- M) into (- M) 13.335 * [taylor]: Taking taylor expansion of (- M) in n 13.335 * [taylor]: Taking taylor expansion of M in n 13.335 * [backup-simplify]: Simplify M into M 13.335 * [backup-simplify]: Simplify (- M) into (- M) 13.335 * [taylor]: Taking taylor expansion of (- M) in M 13.335 * [taylor]: Taking taylor expansion of M in M 13.335 * [backup-simplify]: Simplify 0 into 0 13.335 * [backup-simplify]: Simplify 1 into 1 13.335 * [backup-simplify]: Simplify (- 0) into 0 13.335 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.336 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 13.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 13.337 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 13.337 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 13.337 * [backup-simplify]: Simplify (- 0) into 0 13.337 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 13.337 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.337 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.337 * [taylor]: Taking taylor expansion of 1/2 in m 13.338 * [backup-simplify]: Simplify 1/2 into 1/2 13.338 * [taylor]: Taking taylor expansion of m in m 13.338 * [backup-simplify]: Simplify 0 into 0 13.338 * [backup-simplify]: Simplify 1 into 1 13.338 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.338 * [taylor]: Taking taylor expansion of 1/2 in m 13.338 * [backup-simplify]: Simplify 1/2 into 1/2 13.338 * [taylor]: Taking taylor expansion of n in m 13.338 * [backup-simplify]: Simplify n into n 13.338 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.338 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.338 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.338 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.338 * [taylor]: Taking taylor expansion of 1/2 in n 13.338 * [backup-simplify]: Simplify 1/2 into 1/2 13.338 * [taylor]: Taking taylor expansion of n in n 13.338 * [backup-simplify]: Simplify 0 into 0 13.338 * [backup-simplify]: Simplify 1 into 1 13.339 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.339 * [taylor]: Taking taylor expansion of 0 in M 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify (- 0) into 0 13.339 * [taylor]: Taking taylor expansion of 0 in n 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [taylor]: Taking taylor expansion of 0 in M 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify (- 0) into 0 13.340 * [taylor]: Taking taylor expansion of 0 in M 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify (- 1) into -1 13.340 * [backup-simplify]: Simplify -1 into -1 13.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 13.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 13.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 13.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 13.344 * [backup-simplify]: Simplify (+ 0 0) into 0 13.345 * [backup-simplify]: Simplify (- 0) into 0 13.345 * [backup-simplify]: Simplify (+ 0 0) into 0 13.345 * [taylor]: Taking taylor expansion of 0 in m 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [taylor]: Taking taylor expansion of 0 in n 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [taylor]: Taking taylor expansion of 0 in M 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.347 * [taylor]: Taking taylor expansion of 1/2 in n 13.347 * [backup-simplify]: Simplify 1/2 into 1/2 13.347 * [taylor]: Taking taylor expansion of 1/2 in M 13.347 * [backup-simplify]: Simplify 1/2 into 1/2 13.347 * [backup-simplify]: Simplify 1/2 into 1/2 13.347 * [backup-simplify]: Simplify (- 0) into 0 13.347 * [taylor]: Taking taylor expansion of 0 in n 13.347 * [backup-simplify]: Simplify 0 into 0 13.347 * [taylor]: Taking taylor expansion of 0 in M 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.348 * [taylor]: Taking taylor expansion of 1/2 in M 13.348 * [backup-simplify]: Simplify 1/2 into 1/2 13.348 * [backup-simplify]: Simplify 1/2 into 1/2 13.349 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* n (* 1 K)))) (+ (* 1/2 (* 1 (* 1 (* m K)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 13.349 * [backup-simplify]: Simplify (- (* (/ 1 K) (/ (+ (/ 1 m) (/ 1 n)) 2)) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 13.349 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (K m n M) around 0 13.350 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 13.350 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.350 * [taylor]: Taking taylor expansion of 1/2 in M 13.350 * [backup-simplify]: Simplify 1/2 into 1/2 13.350 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.350 * [taylor]: Taking taylor expansion of (* m K) in M 13.350 * [taylor]: Taking taylor expansion of m in M 13.350 * [backup-simplify]: Simplify m into m 13.350 * [taylor]: Taking taylor expansion of K in M 13.350 * [backup-simplify]: Simplify K into K 13.350 * [backup-simplify]: Simplify (* m K) into (* m K) 13.350 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.350 * [taylor]: Taking taylor expansion of 1/2 in M 13.350 * [backup-simplify]: Simplify 1/2 into 1/2 13.350 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.350 * [taylor]: Taking taylor expansion of (* K n) in M 13.350 * [taylor]: Taking taylor expansion of K in M 13.350 * [backup-simplify]: Simplify K into K 13.350 * [taylor]: Taking taylor expansion of n in M 13.350 * [backup-simplify]: Simplify n into n 13.350 * [backup-simplify]: Simplify (* K n) into (* K n) 13.350 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.350 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.350 * [taylor]: Taking taylor expansion of M in M 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [backup-simplify]: Simplify 1 into 1 13.351 * [backup-simplify]: Simplify (/ 1 1) into 1 13.351 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 13.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.351 * [taylor]: Taking taylor expansion of 1/2 in n 13.351 * [backup-simplify]: Simplify 1/2 into 1/2 13.351 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.351 * [taylor]: Taking taylor expansion of (* m K) in n 13.351 * [taylor]: Taking taylor expansion of m in n 13.351 * [backup-simplify]: Simplify m into m 13.351 * [taylor]: Taking taylor expansion of K in n 13.351 * [backup-simplify]: Simplify K into K 13.351 * [backup-simplify]: Simplify (* m K) into (* m K) 13.351 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.351 * [taylor]: Taking taylor expansion of 1/2 in n 13.351 * [backup-simplify]: Simplify 1/2 into 1/2 13.351 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.351 * [taylor]: Taking taylor expansion of (* K n) in n 13.351 * [taylor]: Taking taylor expansion of K in n 13.351 * [backup-simplify]: Simplify K into K 13.351 * [taylor]: Taking taylor expansion of n in n 13.351 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify 1 into 1 13.351 * [backup-simplify]: Simplify (* K 0) into 0 13.352 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.352 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.352 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.352 * [taylor]: Taking taylor expansion of M in n 13.352 * [backup-simplify]: Simplify M into M 13.352 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.352 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 13.352 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.352 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.352 * [taylor]: Taking taylor expansion of 1/2 in m 13.352 * [backup-simplify]: Simplify 1/2 into 1/2 13.352 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.352 * [taylor]: Taking taylor expansion of (* m K) in m 13.352 * [taylor]: Taking taylor expansion of m in m 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify 1 into 1 13.352 * [taylor]: Taking taylor expansion of K in m 13.352 * [backup-simplify]: Simplify K into K 13.352 * [backup-simplify]: Simplify (* 0 K) into 0 13.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.353 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.353 * [taylor]: Taking taylor expansion of 1/2 in m 13.353 * [backup-simplify]: Simplify 1/2 into 1/2 13.353 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.353 * [taylor]: Taking taylor expansion of (* K n) in m 13.353 * [taylor]: Taking taylor expansion of K in m 13.353 * [backup-simplify]: Simplify K into K 13.353 * [taylor]: Taking taylor expansion of n in m 13.353 * [backup-simplify]: Simplify n into n 13.353 * [backup-simplify]: Simplify (* K n) into (* K n) 13.353 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.353 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.353 * [taylor]: Taking taylor expansion of M in m 13.353 * [backup-simplify]: Simplify M into M 13.353 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.353 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 13.353 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.353 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.353 * [taylor]: Taking taylor expansion of 1/2 in K 13.353 * [backup-simplify]: Simplify 1/2 into 1/2 13.354 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.354 * [taylor]: Taking taylor expansion of (* m K) in K 13.354 * [taylor]: Taking taylor expansion of m in K 13.354 * [backup-simplify]: Simplify m into m 13.354 * [taylor]: Taking taylor expansion of K in K 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.354 * [backup-simplify]: Simplify (* m 0) into 0 13.354 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.354 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.354 * [taylor]: Taking taylor expansion of 1/2 in K 13.354 * [backup-simplify]: Simplify 1/2 into 1/2 13.354 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.354 * [taylor]: Taking taylor expansion of (* K n) in K 13.354 * [taylor]: Taking taylor expansion of K in K 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.354 * [taylor]: Taking taylor expansion of n in K 13.354 * [backup-simplify]: Simplify n into n 13.354 * [backup-simplify]: Simplify (* 0 n) into 0 13.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.355 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.355 * [taylor]: Taking taylor expansion of M in K 13.355 * [backup-simplify]: Simplify M into M 13.355 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.355 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 13.355 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.355 * [taylor]: Taking taylor expansion of 1/2 in K 13.355 * [backup-simplify]: Simplify 1/2 into 1/2 13.355 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.355 * [taylor]: Taking taylor expansion of (* m K) in K 13.355 * [taylor]: Taking taylor expansion of m in K 13.355 * [backup-simplify]: Simplify m into m 13.355 * [taylor]: Taking taylor expansion of K in K 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 1 into 1 13.355 * [backup-simplify]: Simplify (* m 0) into 0 13.356 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.356 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.356 * [taylor]: Taking taylor expansion of 1/2 in K 13.356 * [backup-simplify]: Simplify 1/2 into 1/2 13.356 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.356 * [taylor]: Taking taylor expansion of (* K n) in K 13.356 * [taylor]: Taking taylor expansion of K in K 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 1 into 1 13.356 * [taylor]: Taking taylor expansion of n in K 13.356 * [backup-simplify]: Simplify n into n 13.356 * [backup-simplify]: Simplify (* 0 n) into 0 13.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.357 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.357 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.357 * [taylor]: Taking taylor expansion of M in K 13.357 * [backup-simplify]: Simplify M into M 13.357 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.357 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.357 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.357 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.357 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.357 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.357 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.358 * [taylor]: Taking taylor expansion of 1/2 in m 13.358 * [backup-simplify]: Simplify 1/2 into 1/2 13.358 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.358 * [taylor]: Taking taylor expansion of m in m 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.358 * [backup-simplify]: Simplify (/ 1 1) into 1 13.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.358 * [taylor]: Taking taylor expansion of 1/2 in m 13.358 * [backup-simplify]: Simplify 1/2 into 1/2 13.358 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.358 * [taylor]: Taking taylor expansion of n in m 13.358 * [backup-simplify]: Simplify n into n 13.358 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.359 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.359 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.359 * [taylor]: Taking taylor expansion of 1/2 in n 13.359 * [backup-simplify]: Simplify 1/2 into 1/2 13.360 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 13.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 13.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 13.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 13.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.362 * [backup-simplify]: Simplify (+ 0 0) into 0 13.362 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.362 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.362 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in m 13.362 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.362 * [taylor]: Taking taylor expansion of M in m 13.362 * [backup-simplify]: Simplify M into M 13.363 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.364 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.364 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.364 * [taylor]: Taking taylor expansion of 1/2 in n 13.364 * [backup-simplify]: Simplify 1/2 into 1/2 13.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.364 * [taylor]: Taking taylor expansion of n in n 13.364 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify 1 into 1 13.365 * [backup-simplify]: Simplify (/ 1 1) into 1 13.365 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.365 * [taylor]: Taking taylor expansion of 1/2 in M 13.365 * [backup-simplify]: Simplify 1/2 into 1/2 13.365 * [taylor]: Taking taylor expansion of 1/2 in M 13.365 * [backup-simplify]: Simplify 1/2 into 1/2 13.366 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 13.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 13.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 13.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.375 * [backup-simplify]: Simplify (+ 0 0) into 0 13.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.376 * [backup-simplify]: Simplify (- 0) into 0 13.376 * [backup-simplify]: Simplify (+ 0 0) into 0 13.376 * [taylor]: Taking taylor expansion of 0 in m 13.376 * [backup-simplify]: Simplify 0 into 0 13.376 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.376 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in n 13.376 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.376 * [taylor]: Taking taylor expansion of M in n 13.376 * [backup-simplify]: Simplify M into M 13.376 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.379 * [backup-simplify]: Simplify (+ 0 0) into 0 13.379 * [taylor]: Taking taylor expansion of 0 in n 13.379 * [backup-simplify]: Simplify 0 into 0 13.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.381 * [taylor]: Taking taylor expansion of 0 in M 13.381 * [backup-simplify]: Simplify 0 into 0 13.381 * [taylor]: Taking taylor expansion of 0 in M 13.381 * [backup-simplify]: Simplify 0 into 0 13.381 * [backup-simplify]: Simplify 1/2 into 1/2 13.381 * [backup-simplify]: Simplify 1/2 into 1/2 13.382 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 13.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 13.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 13.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.387 * [backup-simplify]: Simplify (+ 0 0) into 0 13.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.387 * [backup-simplify]: Simplify (- 0) into 0 13.388 * [backup-simplify]: Simplify (+ 0 0) into 0 13.388 * [taylor]: Taking taylor expansion of 0 in m 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [taylor]: Taking taylor expansion of 0 in n 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.388 * [backup-simplify]: Simplify (- 0) into 0 13.388 * [taylor]: Taking taylor expansion of 0 in n 13.388 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.392 * [backup-simplify]: Simplify (+ 0 0) into 0 13.392 * [taylor]: Taking taylor expansion of 0 in n 13.392 * [backup-simplify]: Simplify 0 into 0 13.392 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.392 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.392 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.392 * [taylor]: Taking taylor expansion of M in M 13.392 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.393 * [backup-simplify]: Simplify (/ 1 1) into 1 13.393 * [backup-simplify]: Simplify (- 1) into -1 13.393 * [backup-simplify]: Simplify -1 into -1 13.395 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 13.395 * [backup-simplify]: Simplify (- (* (/ 1 (- K)) (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2)) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 13.395 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (K m n M) around 0 13.395 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 13.395 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.395 * [taylor]: Taking taylor expansion of M in M 13.395 * [backup-simplify]: Simplify 0 into 0 13.395 * [backup-simplify]: Simplify 1 into 1 13.396 * [backup-simplify]: Simplify (/ 1 1) into 1 13.396 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 13.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 13.396 * [taylor]: Taking taylor expansion of 1/2 in M 13.396 * [backup-simplify]: Simplify 1/2 into 1/2 13.396 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 13.396 * [taylor]: Taking taylor expansion of (* m K) in M 13.396 * [taylor]: Taking taylor expansion of m in M 13.396 * [backup-simplify]: Simplify m into m 13.396 * [taylor]: Taking taylor expansion of K in M 13.396 * [backup-simplify]: Simplify K into K 13.396 * [backup-simplify]: Simplify (* m K) into (* m K) 13.396 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 13.396 * [taylor]: Taking taylor expansion of 1/2 in M 13.396 * [backup-simplify]: Simplify 1/2 into 1/2 13.396 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 13.396 * [taylor]: Taking taylor expansion of (* K n) in M 13.396 * [taylor]: Taking taylor expansion of K in M 13.396 * [backup-simplify]: Simplify K into K 13.396 * [taylor]: Taking taylor expansion of n in M 13.396 * [backup-simplify]: Simplify n into n 13.396 * [backup-simplify]: Simplify (* K n) into (* K n) 13.396 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.396 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 13.396 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.397 * [taylor]: Taking taylor expansion of M in n 13.397 * [backup-simplify]: Simplify M into M 13.397 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.397 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 13.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 13.397 * [taylor]: Taking taylor expansion of 1/2 in n 13.397 * [backup-simplify]: Simplify 1/2 into 1/2 13.397 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 13.397 * [taylor]: Taking taylor expansion of (* m K) in n 13.397 * [taylor]: Taking taylor expansion of m in n 13.397 * [backup-simplify]: Simplify m into m 13.397 * [taylor]: Taking taylor expansion of K in n 13.397 * [backup-simplify]: Simplify K into K 13.397 * [backup-simplify]: Simplify (* m K) into (* m K) 13.397 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 13.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 13.397 * [taylor]: Taking taylor expansion of 1/2 in n 13.397 * [backup-simplify]: Simplify 1/2 into 1/2 13.397 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 13.397 * [taylor]: Taking taylor expansion of (* K n) in n 13.397 * [taylor]: Taking taylor expansion of K in n 13.397 * [backup-simplify]: Simplify K into K 13.397 * [taylor]: Taking taylor expansion of n in n 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 1 into 1 13.397 * [backup-simplify]: Simplify (* K 0) into 0 13.398 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.398 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.398 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 13.398 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.398 * [taylor]: Taking taylor expansion of M in m 13.398 * [backup-simplify]: Simplify M into M 13.398 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.398 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 13.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 13.398 * [taylor]: Taking taylor expansion of 1/2 in m 13.398 * [backup-simplify]: Simplify 1/2 into 1/2 13.398 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 13.398 * [taylor]: Taking taylor expansion of (* m K) in m 13.398 * [taylor]: Taking taylor expansion of m in m 13.398 * [backup-simplify]: Simplify 0 into 0 13.398 * [backup-simplify]: Simplify 1 into 1 13.398 * [taylor]: Taking taylor expansion of K in m 13.398 * [backup-simplify]: Simplify K into K 13.398 * [backup-simplify]: Simplify (* 0 K) into 0 13.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.399 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 13.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 13.399 * [taylor]: Taking taylor expansion of 1/2 in m 13.399 * [backup-simplify]: Simplify 1/2 into 1/2 13.399 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 13.399 * [taylor]: Taking taylor expansion of (* K n) in m 13.399 * [taylor]: Taking taylor expansion of K in m 13.399 * [backup-simplify]: Simplify K into K 13.399 * [taylor]: Taking taylor expansion of n in m 13.399 * [backup-simplify]: Simplify n into n 13.399 * [backup-simplify]: Simplify (* K n) into (* K n) 13.399 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 13.399 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 13.399 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.399 * [taylor]: Taking taylor expansion of M in K 13.399 * [backup-simplify]: Simplify M into M 13.399 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.399 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.399 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.399 * [taylor]: Taking taylor expansion of 1/2 in K 13.399 * [backup-simplify]: Simplify 1/2 into 1/2 13.399 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.399 * [taylor]: Taking taylor expansion of (* m K) in K 13.399 * [taylor]: Taking taylor expansion of m in K 13.399 * [backup-simplify]: Simplify m into m 13.400 * [taylor]: Taking taylor expansion of K in K 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 1 into 1 13.400 * [backup-simplify]: Simplify (* m 0) into 0 13.400 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.400 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.400 * [taylor]: Taking taylor expansion of 1/2 in K 13.400 * [backup-simplify]: Simplify 1/2 into 1/2 13.400 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.400 * [taylor]: Taking taylor expansion of (* K n) in K 13.400 * [taylor]: Taking taylor expansion of K in K 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 1 into 1 13.400 * [taylor]: Taking taylor expansion of n in K 13.400 * [backup-simplify]: Simplify n into n 13.400 * [backup-simplify]: Simplify (* 0 n) into 0 13.401 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.401 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.401 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 13.401 * [taylor]: Taking taylor expansion of (/ 1 M) in K 13.401 * [taylor]: Taking taylor expansion of M in K 13.401 * [backup-simplify]: Simplify M into M 13.401 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.401 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 13.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 13.401 * [taylor]: Taking taylor expansion of 1/2 in K 13.401 * [backup-simplify]: Simplify 1/2 into 1/2 13.401 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 13.401 * [taylor]: Taking taylor expansion of (* m K) in K 13.401 * [taylor]: Taking taylor expansion of m in K 13.401 * [backup-simplify]: Simplify m into m 13.401 * [taylor]: Taking taylor expansion of K in K 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify 1 into 1 13.401 * [backup-simplify]: Simplify (* m 0) into 0 13.402 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.402 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 13.402 * [taylor]: Taking taylor expansion of 1/2 in K 13.402 * [backup-simplify]: Simplify 1/2 into 1/2 13.402 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 13.402 * [taylor]: Taking taylor expansion of (* K n) in K 13.402 * [taylor]: Taking taylor expansion of K in K 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 1 into 1 13.402 * [taylor]: Taking taylor expansion of n in K 13.402 * [backup-simplify]: Simplify n into n 13.402 * [backup-simplify]: Simplify (* 0 n) into 0 13.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.403 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.403 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 13.403 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.403 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.403 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 13.403 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.403 * [taylor]: Taking taylor expansion of 1/2 in m 13.403 * [backup-simplify]: Simplify 1/2 into 1/2 13.403 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.403 * [taylor]: Taking taylor expansion of m in m 13.403 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify 1 into 1 13.404 * [backup-simplify]: Simplify (/ 1 1) into 1 13.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.404 * [taylor]: Taking taylor expansion of 1/2 in m 13.404 * [backup-simplify]: Simplify 1/2 into 1/2 13.404 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.404 * [taylor]: Taking taylor expansion of n in m 13.404 * [backup-simplify]: Simplify n into n 13.404 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.405 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.405 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.405 * [taylor]: Taking taylor expansion of 1/2 in n 13.405 * [backup-simplify]: Simplify 1/2 into 1/2 13.406 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 13.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 13.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 13.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 13.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.408 * [backup-simplify]: Simplify (+ 0 0) into 0 13.408 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 13.408 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.408 * [taylor]: Taking taylor expansion of M in m 13.408 * [backup-simplify]: Simplify M into M 13.408 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.410 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.410 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.410 * [taylor]: Taking taylor expansion of 1/2 in n 13.410 * [backup-simplify]: Simplify 1/2 into 1/2 13.410 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.410 * [taylor]: Taking taylor expansion of n in n 13.410 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify 1 into 1 13.411 * [backup-simplify]: Simplify (/ 1 1) into 1 13.411 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.411 * [taylor]: Taking taylor expansion of 1/2 in M 13.411 * [backup-simplify]: Simplify 1/2 into 1/2 13.411 * [taylor]: Taking taylor expansion of 1/2 in M 13.411 * [backup-simplify]: Simplify 1/2 into 1/2 13.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.412 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 13.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 13.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 13.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.416 * [backup-simplify]: Simplify (+ 0 0) into 0 13.416 * [backup-simplify]: Simplify (+ 0 0) into 0 13.416 * [taylor]: Taking taylor expansion of 0 in m 13.416 * [backup-simplify]: Simplify 0 into 0 13.416 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.416 * [taylor]: Taking taylor expansion of M in n 13.416 * [backup-simplify]: Simplify M into M 13.416 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.420 * [backup-simplify]: Simplify (+ 0 0) into 0 13.420 * [taylor]: Taking taylor expansion of 0 in n 13.420 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.421 * [taylor]: Taking taylor expansion of 0 in M 13.421 * [backup-simplify]: Simplify 0 into 0 13.421 * [taylor]: Taking taylor expansion of 0 in M 13.421 * [backup-simplify]: Simplify 0 into 0 13.421 * [backup-simplify]: Simplify 1/2 into 1/2 13.421 * [backup-simplify]: Simplify 1/2 into 1/2 13.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.423 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 13.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 13.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 13.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.427 * [backup-simplify]: Simplify (+ 0 0) into 0 13.428 * [backup-simplify]: Simplify (+ 0 0) into 0 13.428 * [taylor]: Taking taylor expansion of 0 in m 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [taylor]: Taking taylor expansion of 0 in n 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.428 * [taylor]: Taking taylor expansion of 0 in n 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.430 * [backup-simplify]: Simplify (+ 0 0) into 0 13.430 * [taylor]: Taking taylor expansion of 0 in n 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.430 * [taylor]: Taking taylor expansion of M in M 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify 1 into 1 13.430 * [backup-simplify]: Simplify (/ 1 1) into 1 13.430 * [backup-simplify]: Simplify 1 into 1 13.431 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))))) into (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 13.431 * * * [progress]: simplifying candidates 13.431 * * * * [progress]: [ 1 / 69 ] simplifiying candidate #real (real->posit16 (log1p (expm1 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.431 * * * * [progress]: [ 2 / 69 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.431 * * * * [progress]: [ 3 / 69 ] simplifiying candidate #real (real->posit16 (- (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))))))))> 13.431 * * * * [progress]: [ 4 / 69 ] simplifiying candidate #real (real->posit16 (- (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))))))))> 13.431 * * * * [progress]: [ 5 / 69 ] simplifiying candidate #real (real->posit16 (- (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))))))))> 13.431 * * * * [progress]: [ 6 / 69 ] simplifiying candidate #real (real->posit16 (- (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))))))))> 13.431 * * * * [progress]: [ 7 / 69 ] simplifiying candidate #real (real->posit16 (- (* (cos (* K (/ (+ m n) 2))) (cos (- M))) (* (sin (* K (/ (+ m n) 2))) (sin (- M))))))))> 13.431 * * * * [progress]: [ 8 / 69 ] simplifiying candidate #real (real->posit16 (+ (* (cos (* K (/ (+ m n) 2))) (cos M)) (* (sin (* K (/ (+ m n) 2))) (sin M)))))))> 13.431 * * * * [progress]: [ 9 / 69 ] simplifiying candidate #real (real->posit16 (pow (cos (- (* K (/ (+ m n) 2)) M)) 1)))))> 13.432 * * * * [progress]: [ 10 / 69 ] simplifiying candidate #real (real->posit16 (exp (log (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 11 / 69 ] simplifiying candidate #real (real->posit16 (log (exp (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 12 / 69 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))) (cbrt (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 13 / 69 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 14 / 69 ] simplifiying candidate #real (real->posit16 (* (sqrt (cos (- (* K (/ (+ m n) 2)) M))) (sqrt (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 15 / 69 ] simplifiying candidate #real (real->posit16 (* 1 (cos (- (* K (/ (+ m n) 2)) M)))))))> 13.432 * * * * [progress]: [ 16 / 69 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 17 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 18 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 19 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))) 1)))> 13.432 * * * * [progress]: [ 20 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 21 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 22 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))))) (cbrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 23 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 24 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (sqrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 25 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))))))> 13.432 * * * * [progress]: [ 26 / 69 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))))> 13.432 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 13.432 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.432 * * * * [progress]: [ 29 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.432 * * * * [progress]: [ 30 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.432 * * * * [progress]: [ 31 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.432 * * * * [progress]: [ 32 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.432 * * * * [progress]: [ 33 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.433 * * * * [progress]: [ 34 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.433 * * * * [progress]: [ 35 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.433 * * * * [progress]: [ 36 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.433 * * * * [progress]: [ 37 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.433 * * * * [progress]: [ 38 / 69 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.433 * * * * [progress]: [ 39 / 69 ] simplifiying candidate #real (real->posit16 (cos (+ (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M))))) (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M))))))))))> 13.433 * * * * [progress]: [ 40 / 69 ] simplifiying candidate #real (real->posit16 (cos (+ (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M)))) (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M)))))))))> 13.433 * * * * [progress]: [ 41 / 69 ] simplifiying candidate #real (real->posit16 (cos (+ (fma K (/ (+ m n) 2) (- (* M 1))) (fma (- M) 1 (* M 1))))))))> 13.433 * * * * [progress]: [ 42 / 69 ] simplifiying candidate #real (real->posit16 (cos (log1p (expm1 (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 43 / 69 ] simplifiying candidate #real (real->posit16 (cos (expm1 (log1p (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 44 / 69 ] simplifiying candidate #real (real->posit16 (cos (fma K (/ (+ m n) 2) (- M)))))))> 13.433 * * * * [progress]: [ 45 / 69 ] simplifiying candidate #real (real->posit16 (cos (log (/ (exp (* K (/ (+ m n) 2))) (exp M))))))))> 13.433 * * * * [progress]: [ 46 / 69 ] simplifiying candidate #real (real->posit16 (cos (pow (- (* K (/ (+ m n) 2)) M) 1))))))> 13.433 * * * * [progress]: [ 47 / 69 ] simplifiying candidate #real (real->posit16 (cos (exp (log (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 48 / 69 ] simplifiying candidate #real (real->posit16 (cos (log (exp (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 49 / 69 ] simplifiying candidate #real (real->posit16 (cos (* (* (cbrt (- (* K (/ (+ m n) 2)) M)) (cbrt (- (* K (/ (+ m n) 2)) M))) (cbrt (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 50 / 69 ] simplifiying candidate #real (real->posit16 (cos (cbrt (* (* (- (* K (/ (+ m n) 2)) M) (- (* K (/ (+ m n) 2)) M)) (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 51 / 69 ] simplifiying candidate #real (real->posit16 (cos (* (sqrt (- (* K (/ (+ m n) 2)) M)) (sqrt (- (* K (/ (+ m n) 2)) M))))))))> 13.433 * * * * [progress]: [ 52 / 69 ] simplifiying candidate #real (real->posit16 (cos (/ (- (pow (* K (/ (+ m n) 2)) 3) (pow M 3)) (+ (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (+ (* M M) (* (* K (/ (+ m n) 2)) M)))))))))> 13.433 * * * * [progress]: [ 53 / 69 ] simplifiying candidate #real (real->posit16 (cos (+ (* K (/ (+ m n) 2)) (- M)))))))> 13.433 * * * * [progress]: [ 54 / 69 ] simplifiying candidate #real (real->posit16 (cos (* 1 (- (* K (/ (+ m n) 2)) M)))))))> 13.433 * * * * [progress]: [ 55 / 69 ] simplifiying candidate #real (real->posit16 (cos (/ (- (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (* M M)) (+ (* K (/ (+ m n) 2)) M)))))))> 13.433 * * * * [progress]: [ 56 / 69 ] simplifiying candidate #real (real->posit16 (cos (+ (* K (/ (+ m n) 2)) (- M)))))))> 13.433 * * * * [progress]: [ 57 / 69 ] simplifiying candidate #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> 13.434 * * * * [progress]: [ 58 / 69 ] simplifiying candidate #real (real->posit16 1))))> 13.434 * * * * [progress]: [ 59 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))))> 13.434 * * * * [progress]: [ 60 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))))> 13.434 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 13.434 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 13.434 * * * * [progress]: [ 63 / 69 ] simplifiying candidate # 13.434 * * * * [progress]: [ 64 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.434 * * * * [progress]: [ 65 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.434 * * * * [progress]: [ 66 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))> 13.434 * * * * [progress]: [ 67 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))))> 13.434 * * * * [progress]: [ 68 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))))> 13.434 * * * * [progress]: [ 69 / 69 ] simplifiying candidate #real (real->posit16 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M))))))> 13.435 * [simplify]: Simplifying (expm1 (cos (- (* K (/ (+ m n) 2)) M))), (log1p (cos (- (* K (/ (+ m n) 2)) M))), (* (cos (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))), (* (sin (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))), (* (cos (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))), (* (sin (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))), (* (cos (fma K (/ (+ m n) 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))), (* (sin (fma K (/ (+ m n) 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))), (* (cos (* K (/ (+ m n) 2))) (cos (- M))), (* (sin (* K (/ (+ m n) 2))) (sin (- M))), (* (cos (* K (/ (+ m n) 2))) (cos (- M))), (* (sin (* K (/ (+ m n) 2))) (sin (- M))), (* (cos (* K (/ (+ m n) 2))) (cos M)), (* (sin (* K (/ (+ m n) 2))) (sin M)), (log (cos (- (* K (/ (+ m n) 2)) M))), (exp (cos (- (* K (/ (+ m n) 2)) M))), (* (cbrt (cos (- (* K (/ (+ m n) 2)) M))) (cbrt (cos (- (* K (/ (+ m n) 2)) M)))), (cbrt (cos (- (* K (/ (+ m n) 2)) M))), (* (* (cos (- (* K (/ (+ m n) 2)) M)) (cos (- (* K (/ (+ m n) 2)) M))) (cos (- (* K (/ (+ m n) 2)) M))), (sqrt (cos (- (* K (/ (+ m n) 2)) M))), (sqrt (cos (- (* K (/ (+ m n) 2)) M))), (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))), (expm1 (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (log1p (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (log (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (exp (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (* (cbrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (cbrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))))), (cbrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (* (* (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M)))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (sqrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (sqrt (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (real->posit16 (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))), (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))), (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (fma K (/ (+ m n) 2) (- (* (cbrt M) (* (cbrt M) (cbrt M))))), (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))), (fma K (/ (+ m n) 2) (- (* (sqrt M) (sqrt M)))), (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))), (fma K (/ (+ m n) 2) (- (* M 1))), (fma (- M) 1 (* M 1)), (expm1 (- (* K (/ (+ m n) 2)) M)), (log1p (- (* K (/ (+ m n) 2)) M)), (- M), (/ (exp (* K (/ (+ m n) 2))) (exp M)), (log (- (* K (/ (+ m n) 2)) M)), (exp (- (* K (/ (+ m n) 2)) M)), (* (cbrt (- (* K (/ (+ m n) 2)) M)) (cbrt (- (* K (/ (+ m n) 2)) M))), (cbrt (- (* K (/ (+ m n) 2)) M)), (* (* (- (* K (/ (+ m n) 2)) M) (- (* K (/ (+ m n) 2)) M)) (- (* K (/ (+ m n) 2)) M)), (sqrt (- (* K (/ (+ m n) 2)) M)), (sqrt (- (* K (/ (+ m n) 2)) M)), (- (pow (* K (/ (+ m n) 2)) 3) (pow M 3)), (+ (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (+ (* M M) (* (* K (/ (+ m n) 2)) M))), (- M), (- (* (* K (/ (+ m n) 2)) (* K (/ (+ m n) 2))) (* M M)), (+ (* K (/ (+ m n) 2)) M), (- M), (real->posit16 (- (* K (/ (+ m n) 2)) M)), 1, (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), 1, (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))), (- (pow M 2) (+ (* m M) (* M n))), (- (pow M 2) (+ (* m M) (* M n))), (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M), (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M), (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 13.436 * * [simplify]: iteration 1: (136 enodes) 13.498 * * [simplify]: iteration 2: (473 enodes) 13.630 * * [simplify]: iteration 3: (797 enodes) 13.830 * * [simplify]: iteration 4: (1736 enodes) 14.570 * * [simplify]: Extracting #0: cost 45 inf + 0 14.572 * * [simplify]: Extracting #1: cost 299 inf + 1 14.577 * * [simplify]: Extracting #2: cost 926 inf + 2143 14.596 * * [simplify]: Extracting #3: cost 892 inf + 55763 14.667 * * [simplify]: Extracting #4: cost 206 inf + 235146 14.766 * * [simplify]: Extracting #5: cost 24 inf + 286809 14.841 * * [simplify]: Extracting #6: cost 0 inf + 301101 14.926 * [simplify]: Simplified to (expm1 (cos (- (/ K (/ 2 (+ m n))) M))), (log1p (cos (- (/ K (/ 2 (+ m n))) M))), (* (cos (- M M)) (cos (- (/ K (/ 2 (+ m n))) M))), (* (sin (- (/ K (/ 2 (+ m n))) M)) (sin (- M M))), (* (cos (- M M)) (cos (- (/ K (/ 2 (+ m n))) M))), (* (sin (- (/ K (/ 2 (+ m n))) M)) (sin (- M M))), (* (cos (- M M)) (cos (- (/ K (/ 2 (+ m n))) M))), (* (sin (- (/ K (/ 2 (+ m n))) M)) (sin (- M M))), (* (cos (/ K (/ 2 (+ m n)))) (cos M)), (- (* (sin (/ K (/ 2 (+ m n)))) (sin M))), (* (cos (/ K (/ 2 (+ m n)))) (cos M)), (- (* (sin (/ K (/ 2 (+ m n)))) (sin M))), (* (cos (/ K (/ 2 (+ m n)))) (cos M)), (* (sin (/ K (/ 2 (+ m n)))) (sin M)), (log (cos (- (/ K (/ 2 (+ m n))) M))), (exp (cos (- (/ K (/ 2 (+ m n))) M))), (* (cbrt (cos (- (/ K (/ 2 (+ m n))) M))) (cbrt (cos (- (/ K (/ 2 (+ m n))) M)))), (cbrt (cos (- (/ K (/ 2 (+ m n))) M))), (* (cos (- (/ K (/ 2 (+ m n))) M)) (* (cos (- (/ K (/ 2 (+ m n))) M)) (cos (- (/ K (/ 2 (+ m n))) M)))), (sqrt (cos (- (/ K (/ 2 (+ m n))) M))), (sqrt (cos (- (/ K (/ 2 (+ m n))) M))), (real->posit16 (cos (- (/ K (/ 2 (+ m n))) M))), (expm1 (cos (- (/ K (/ 2 (+ m n))) M))), (log1p (cos (- (/ K (/ 2 (+ m n))) M))), (log (cos (- (/ K (/ 2 (+ m n))) M))), (exp (cos (- (/ K (/ 2 (+ m n))) M))), (* (cbrt (cos (- (/ K (/ 2 (+ m n))) M))) (cbrt (cos (- (/ K (/ 2 (+ m n))) M)))), (cbrt (cos (- (/ K (/ 2 (+ m n))) M))), (* (cos (- (/ K (/ 2 (+ m n))) M)) (* (cos (- (/ K (/ 2 (+ m n))) M)) (cos (- (/ K (/ 2 (+ m n))) M)))), (sqrt (cos (- (/ K (/ 2 (+ m n))) M))), (sqrt (cos (- (/ K (/ 2 (+ m n))) M))), (real->posit16 (cos (- (/ K (/ 2 (+ m n))) M))), (expm1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (log1p (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (log (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))), (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (* (* (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)), (- (/ K (/ 2 (+ m n))) M), (- M M), (- (/ K (/ 2 (+ m n))) M), (- M M), (- (/ K (/ 2 (+ m n))) M), (- M M), (expm1 (- (/ K (/ 2 (+ m n))) M)), (log1p (- (/ K (/ 2 (+ m n))) M)), (- M), (exp (- (/ K (/ 2 (+ m n))) M)), (log (- (/ K (/ 2 (+ m n))) M)), (exp (- (/ K (/ 2 (+ m n))) M)), (* (cbrt (- (/ K (/ 2 (+ m n))) M)) (cbrt (- (/ K (/ 2 (+ m n))) M))), (cbrt (- (/ K (/ 2 (+ m n))) M)), (* (- (/ K (/ 2 (+ m n))) M) (* (- (/ K (/ 2 (+ m n))) M) (- (/ K (/ 2 (+ m n))) M))), (sqrt (- (/ K (/ 2 (+ m n))) M)), (sqrt (- (/ K (/ 2 (+ m n))) M)), (- (/ (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) 8) (* (* M M) M)), (fma K (* (/ (+ m n) 2) (fma K (/ (+ m n) 2) M)) (* M M)), (- M), (- (/ (* (* (+ m n) K) (* (+ m n) K)) 4) (* M M)), (fma K (/ (+ m n) 2) M), (- M), (real->posit16 (- (/ K (/ 2 (+ m n))) M)), 1, (cos (- (* (* (+ m n) K) 1/2) M)), (cos (- (* (* (+ m n) K) 1/2) M)), 1, (cos (- (* (* (+ m n) K) 1/2) M)), (cos (- (* (* (+ m n) K) 1/2) M)), (fma m (fma 1/2 n (* m 1/4)) l), (* (- M (+ m n)) M), (* (- M (+ m n)) M), (- (* (* (+ m n) K) 1/2) M), (- (* (* (+ m n) K) 1/2) M), (- (* (* (+ m n) K) 1/2) M) 14.934 * * * [progress]: adding candidates to table 17.173 * [progress]: [Phase 3 of 3] Extracting. 17.173 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> # #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))>) 17.176 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 17.177 * * * * [regimes]: Trying to branch on l from (# #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> # #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))>) 17.260 * * * * [regimes]: Trying to branch on M from (# #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> # #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))>) 17.373 * * * * [regimes]: Trying to branch on n from (# #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> # #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))>) 17.487 * * * * [regimes]: Trying to branch on m from (# #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> # #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))>) 17.558 * * * * [regimes]: Trying to branch on K from (# #real (real->posit16 (cos (posit16->real (real->posit16 (- (* K (/ (+ m n) 2)) M))))))))> # #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) 1))> #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))))) (posit16->real (real->posit16 (cos (- (* K (/ (+ m n) 2)) M))))))>) 17.629 * * * [regime]: Found split indices: #