35.228 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.126 * * * [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 0: 21 enodes 0.144 * * [simplify]: iteration 1: 51 enodes 0.155 * * [simplify]: iteration 2: 102 enodes 0.175 * * [simplify]: iteration 3: 257 enodes 0.252 * * [simplify]: iteration 4: 818 enodes 0.536 * * [simplify]: iteration 5: 2000 enodes 1.087 * * [simplify]: iteration complete: 2000 enodes 1.087 * * [simplify]: Extracting #0: cost 1 inf + 0 1.088 * * [simplify]: Extracting #1: cost 111 inf + 0 1.089 * * [simplify]: Extracting #2: cost 392 inf + 1 1.100 * * [simplify]: Extracting #3: cost 624 inf + 269 1.105 * * [simplify]: Extracting #4: cost 693 inf + 2160 1.115 * * [simplify]: Extracting #5: cost 597 inf + 23090 1.145 * * [simplify]: Extracting #6: cost 347 inf + 100377 1.191 * * [simplify]: Extracting #7: cost 30 inf + 225353 1.278 * * [simplify]: Extracting #8: cost 0 inf + 240022 1.361 * [simplify]: Simplified to: (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))) 1.372 * * [progress]: iteration 1 / 4 1.372 * * * [progress]: picking best candidate 1.383 * * * * [pick]: Picked # 1.383 * * * [progress]: localizing error 1.425 * * * [progress]: generating rewritten candidates 1.425 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 1.507 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.531 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.545 * * * [progress]: generating series expansions 1.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.545 * [backup-simplify]: Simplify (cos (- (/ (* K (+ m n)) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.545 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 1.545 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.545 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.545 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.545 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.545 * [taylor]: Taking taylor expansion of 1/2 in M 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of (* K n) in M 1.545 * [taylor]: Taking taylor expansion of K in M 1.545 * [backup-simplify]: Simplify K into K 1.545 * [taylor]: Taking taylor expansion of n in M 1.545 * [backup-simplify]: Simplify n into n 1.545 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.545 * [taylor]: Taking taylor expansion of 1/2 in M 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of (* K m) in M 1.545 * [taylor]: Taking taylor expansion of K in M 1.545 * [backup-simplify]: Simplify K into K 1.545 * [taylor]: Taking taylor expansion of m in M 1.545 * [backup-simplify]: Simplify m into m 1.545 * [taylor]: Taking taylor expansion of M in M 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* K n) into (* K n) 1.545 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.545 * [backup-simplify]: Simplify (* K m) into (* K m) 1.545 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.546 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.546 * [backup-simplify]: Simplify (- 0) into 0 1.546 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.546 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.547 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.547 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.547 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.547 * [taylor]: Taking taylor expansion of 1/2 in n 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (* K n) in n 1.547 * [taylor]: Taking taylor expansion of K in n 1.547 * [backup-simplify]: Simplify K into K 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.547 * [taylor]: Taking taylor expansion of 1/2 in n 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (* K m) in n 1.547 * [taylor]: Taking taylor expansion of K in n 1.547 * [backup-simplify]: Simplify K into K 1.547 * [taylor]: Taking taylor expansion of m in n 1.547 * [backup-simplify]: Simplify m into m 1.547 * [taylor]: Taking taylor expansion of M in n 1.547 * [backup-simplify]: Simplify M into M 1.547 * [backup-simplify]: Simplify (* K 0) into 0 1.547 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.547 * [backup-simplify]: Simplify (* K m) into (* K m) 1.547 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.547 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.547 * [backup-simplify]: Simplify (- M) into (- M) 1.547 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.548 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.548 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.548 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.548 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.548 * [taylor]: Taking taylor expansion of 1/2 in m 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of (* K n) in m 1.548 * [taylor]: Taking taylor expansion of K in m 1.548 * [backup-simplify]: Simplify K into K 1.548 * [taylor]: Taking taylor expansion of n in m 1.548 * [backup-simplify]: Simplify n into n 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.548 * [taylor]: Taking taylor expansion of 1/2 in m 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of (* K m) in m 1.548 * [taylor]: Taking taylor expansion of K in m 1.548 * [backup-simplify]: Simplify K into K 1.548 * [taylor]: Taking taylor expansion of m in m 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of M in m 1.548 * [backup-simplify]: Simplify M into M 1.548 * [backup-simplify]: Simplify (* K n) into (* K n) 1.548 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.548 * [backup-simplify]: Simplify (* K 0) into 0 1.548 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.548 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.549 * [backup-simplify]: Simplify (- M) into (- M) 1.549 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.549 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.549 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.549 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.549 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.549 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.549 * [taylor]: Taking taylor expansion of 1/2 in K 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (* K n) in K 1.549 * [taylor]: Taking taylor expansion of K in K 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of n in K 1.549 * [backup-simplify]: Simplify n into n 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.549 * [taylor]: Taking taylor expansion of 1/2 in K 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (* K m) in K 1.549 * [taylor]: Taking taylor expansion of K in K 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of m in K 1.549 * [backup-simplify]: Simplify m into m 1.549 * [taylor]: Taking taylor expansion of M in K 1.549 * [backup-simplify]: Simplify M into M 1.549 * [backup-simplify]: Simplify (* 0 n) into 0 1.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.549 * [backup-simplify]: Simplify (* 0 m) into 0 1.550 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (- M) into (- M) 1.550 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.550 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.550 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.550 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.550 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.550 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.550 * [taylor]: Taking taylor expansion of 1/2 in K 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of (* K n) in K 1.550 * [taylor]: Taking taylor expansion of K in K 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of n in K 1.550 * [backup-simplify]: Simplify n into n 1.550 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.550 * [taylor]: Taking taylor expansion of 1/2 in K 1.550 * [backup-simplify]: Simplify 1/2 into 1/2 1.550 * [taylor]: Taking taylor expansion of (* K m) in K 1.550 * [taylor]: Taking taylor expansion of K in K 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of m in K 1.550 * [backup-simplify]: Simplify m into m 1.550 * [taylor]: Taking taylor expansion of M in K 1.550 * [backup-simplify]: Simplify M into M 1.551 * [backup-simplify]: Simplify (* 0 n) into 0 1.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.551 * [backup-simplify]: Simplify (* 0 m) into 0 1.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (- M) into (- M) 1.551 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.551 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.552 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.552 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.552 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.552 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.552 * [taylor]: Taking taylor expansion of (- M) in m 1.552 * [taylor]: Taking taylor expansion of M in m 1.552 * [backup-simplify]: Simplify M into M 1.552 * [backup-simplify]: Simplify (- M) into (- M) 1.552 * [backup-simplify]: Simplify (- M) into (- M) 1.552 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.552 * [backup-simplify]: Simplify (- M) into (- M) 1.552 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.552 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.552 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.553 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.553 * [taylor]: Taking taylor expansion of (cos (- M)) in n 1.553 * [taylor]: Taking taylor expansion of (- M) in n 1.553 * [taylor]: Taking taylor expansion of M in n 1.553 * [backup-simplify]: Simplify M into M 1.553 * [backup-simplify]: Simplify (- M) into (- M) 1.553 * [backup-simplify]: Simplify (- M) into (- M) 1.553 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.553 * [backup-simplify]: Simplify (- M) into (- M) 1.553 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.553 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.553 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.553 * [backup-simplify]: Simplify (- 0) into 0 1.553 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.553 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.553 * [taylor]: Taking taylor expansion of (- M) in M 1.553 * [taylor]: Taking taylor expansion of M in M 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (- 0) into 0 1.554 * [backup-simplify]: Simplify (- 1) into -1 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (+ 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.555 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 1.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 1.556 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 1.556 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 1.557 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 1.557 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 1.557 * [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)))))) 1.557 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 1.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 1.557 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 1.557 * [taylor]: Taking taylor expansion of 1/2 in m 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 1.557 * [taylor]: Taking taylor expansion of (sin (- M)) in m 1.558 * [taylor]: Taking taylor expansion of (- M) in m 1.558 * [taylor]: Taking taylor expansion of M in m 1.558 * [backup-simplify]: Simplify M into M 1.558 * [backup-simplify]: Simplify (- M) into (- M) 1.558 * [backup-simplify]: Simplify (- M) into (- M) 1.558 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.558 * [backup-simplify]: Simplify (- M) into (- M) 1.558 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.558 * [taylor]: Taking taylor expansion of n in m 1.558 * [backup-simplify]: Simplify n into n 1.558 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 1.558 * [taylor]: Taking taylor expansion of 1/2 in m 1.558 * [backup-simplify]: Simplify 1/2 into 1/2 1.558 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 1.558 * [taylor]: Taking taylor expansion of m in m 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [taylor]: Taking taylor expansion of (sin (- M)) in m 1.558 * [taylor]: Taking taylor expansion of (- M) in m 1.558 * [taylor]: Taking taylor expansion of M in m 1.558 * [backup-simplify]: Simplify M into M 1.558 * [backup-simplify]: Simplify (- M) into (- M) 1.558 * [backup-simplify]: Simplify (- M) into (- M) 1.558 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.558 * [backup-simplify]: Simplify (- M) into (- M) 1.558 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.558 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.558 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.558 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.559 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 1.559 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 1.559 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.559 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.559 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.559 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.559 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 1.560 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 1.560 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 1.560 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 1.560 * [taylor]: Taking taylor expansion of 1/2 in n 1.560 * [backup-simplify]: Simplify 1/2 into 1/2 1.560 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 1.560 * [taylor]: Taking taylor expansion of (sin (- M)) in n 1.560 * [taylor]: Taking taylor expansion of (- M) in n 1.560 * [taylor]: Taking taylor expansion of M in n 1.560 * [backup-simplify]: Simplify M into M 1.560 * [backup-simplify]: Simplify (- M) into (- M) 1.560 * [backup-simplify]: Simplify (- M) into (- M) 1.560 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.560 * [backup-simplify]: Simplify (- M) into (- M) 1.560 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.560 * [taylor]: Taking taylor expansion of n in n 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.560 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.560 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.560 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.561 * [taylor]: Taking taylor expansion of 0 in M 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (+ 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.564 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in n 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [taylor]: Taking taylor expansion of 0 in M 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- 0) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.567 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [taylor]: Taking taylor expansion of 0 in M 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ 0) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 1.569 * [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)))))) 1.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [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)))))) 1.576 * [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 1.576 * [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 1.576 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 1.576 * [taylor]: Taking taylor expansion of 1/8 in m 1.576 * [backup-simplify]: Simplify 1/8 into 1/8 1.576 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 1.576 * [taylor]: Taking taylor expansion of (pow m 2) in m 1.576 * [taylor]: Taking taylor expansion of m in m 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.576 * [taylor]: Taking taylor expansion of (- M) in m 1.576 * [taylor]: Taking taylor expansion of M in m 1.576 * [backup-simplify]: Simplify M into M 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.577 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 1.577 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 1.577 * [taylor]: Taking taylor expansion of 1/8 in m 1.577 * [backup-simplify]: Simplify 1/8 into 1/8 1.577 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 1.577 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.577 * [taylor]: Taking taylor expansion of (- M) in m 1.577 * [taylor]: Taking taylor expansion of M in m 1.577 * [backup-simplify]: Simplify M into M 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.577 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.577 * [taylor]: Taking taylor expansion of (pow n 2) in m 1.577 * [taylor]: Taking taylor expansion of n in m 1.577 * [backup-simplify]: Simplify n into n 1.577 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 1.577 * [taylor]: Taking taylor expansion of 1/4 in m 1.577 * [backup-simplify]: Simplify 1/4 into 1/4 1.577 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 1.577 * [taylor]: Taking taylor expansion of m in m 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 1.577 * [taylor]: Taking taylor expansion of (cos (- M)) in m 1.577 * [taylor]: Taking taylor expansion of (- M) in m 1.577 * [taylor]: Taking taylor expansion of M in m 1.577 * [backup-simplify]: Simplify M into M 1.577 * [backup-simplify]: Simplify (- M) into (- M) 1.578 * [backup-simplify]: Simplify (- M) into (- M) 1.578 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.578 * [backup-simplify]: Simplify (- M) into (- M) 1.578 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.578 * [taylor]: Taking taylor expansion of n in m 1.578 * [backup-simplify]: Simplify n into n 1.578 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.578 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.578 * [backup-simplify]: Simplify (* n n) into (pow n 2) 1.578 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 1.579 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.579 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.579 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.579 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 1.579 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 1.580 * [backup-simplify]: Simplify (* 1/4 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.580 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 1.580 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 1.580 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 1.580 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 1.580 * [taylor]: Taking taylor expansion of 1/8 in n 1.580 * [backup-simplify]: Simplify 1/8 into 1/8 1.580 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 1.580 * [taylor]: Taking taylor expansion of (cos (- M)) in n 1.581 * [taylor]: Taking taylor expansion of (- M) in n 1.581 * [taylor]: Taking taylor expansion of M in n 1.581 * [backup-simplify]: Simplify M into M 1.581 * [backup-simplify]: Simplify (- M) into (- M) 1.581 * [backup-simplify]: Simplify (- M) into (- M) 1.581 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.581 * [backup-simplify]: Simplify (- M) into (- M) 1.581 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.581 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (+ 0) into 0 1.582 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.583 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 1.584 * [backup-simplify]: Simplify (+ 0) into 0 1.585 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.586 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.588 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.588 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 1.588 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.588 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 1.588 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 1.588 * [taylor]: Taking taylor expansion of 1/2 in n 1.588 * [backup-simplify]: Simplify 1/2 into 1/2 1.588 * [taylor]: Taking taylor expansion of (sin (- M)) in n 1.588 * [taylor]: Taking taylor expansion of (- M) in n 1.588 * [taylor]: Taking taylor expansion of M in n 1.588 * [backup-simplify]: Simplify M into M 1.588 * [backup-simplify]: Simplify (- M) into (- M) 1.588 * [backup-simplify]: Simplify (- M) into (- M) 1.588 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.588 * [backup-simplify]: Simplify (- M) into (- M) 1.588 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.589 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.589 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.589 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.589 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 1.589 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.589 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.589 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.589 * [taylor]: Taking taylor expansion of 1/2 in M 1.589 * [backup-simplify]: Simplify 1/2 into 1/2 1.589 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.589 * [taylor]: Taking taylor expansion of (- M) in M 1.589 * [taylor]: Taking taylor expansion of M in M 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.590 * [backup-simplify]: Simplify (- 1) into -1 1.590 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.592 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.594 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 1.594 * [backup-simplify]: Simplify (- 0) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [taylor]: Taking taylor expansion of 0 in n 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [taylor]: Taking taylor expansion of 0 in M 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [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))) 1.595 * [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 1.595 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.595 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.595 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.595 * [taylor]: Taking taylor expansion of 1/2 in M 1.595 * [backup-simplify]: Simplify 1/2 into 1/2 1.595 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.595 * [taylor]: Taking taylor expansion of (* m K) in M 1.595 * [taylor]: Taking taylor expansion of m in M 1.595 * [backup-simplify]: Simplify m into m 1.595 * [taylor]: Taking taylor expansion of K in M 1.595 * [backup-simplify]: Simplify K into K 1.595 * [backup-simplify]: Simplify (* m K) into (* m K) 1.596 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.596 * [taylor]: Taking taylor expansion of 1/2 in M 1.596 * [backup-simplify]: Simplify 1/2 into 1/2 1.596 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.596 * [taylor]: Taking taylor expansion of (* K n) in M 1.596 * [taylor]: Taking taylor expansion of K in M 1.596 * [backup-simplify]: Simplify K into K 1.596 * [taylor]: Taking taylor expansion of n in M 1.596 * [backup-simplify]: Simplify n into n 1.596 * [backup-simplify]: Simplify (* K n) into (* K n) 1.596 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.596 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.596 * [taylor]: Taking taylor expansion of M in M 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [backup-simplify]: Simplify (- 1) into -1 1.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.598 * [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))) 1.598 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.598 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.598 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.598 * [taylor]: Taking taylor expansion of 1/2 in n 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.598 * [taylor]: Taking taylor expansion of (* m K) in n 1.598 * [taylor]: Taking taylor expansion of m in n 1.598 * [backup-simplify]: Simplify m into m 1.598 * [taylor]: Taking taylor expansion of K in n 1.598 * [backup-simplify]: Simplify K into K 1.598 * [backup-simplify]: Simplify (* m K) into (* m K) 1.598 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.598 * [taylor]: Taking taylor expansion of 1/2 in n 1.598 * [backup-simplify]: Simplify 1/2 into 1/2 1.598 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.598 * [taylor]: Taking taylor expansion of (* K n) in n 1.598 * [taylor]: Taking taylor expansion of K in n 1.598 * [backup-simplify]: Simplify K into K 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* K 0) into 0 1.599 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.599 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.599 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.599 * [taylor]: Taking taylor expansion of M in n 1.599 * [backup-simplify]: Simplify M into M 1.599 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.599 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.599 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.599 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.599 * [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))) 1.599 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.599 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.599 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.599 * [taylor]: Taking taylor expansion of 1/2 in m 1.599 * [backup-simplify]: Simplify 1/2 into 1/2 1.599 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.599 * [taylor]: Taking taylor expansion of (* m K) in m 1.599 * [taylor]: Taking taylor expansion of m in m 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of K in m 1.600 * [backup-simplify]: Simplify K into K 1.600 * [backup-simplify]: Simplify (* 0 K) into 0 1.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.600 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.600 * [taylor]: Taking taylor expansion of 1/2 in m 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.600 * [taylor]: Taking taylor expansion of (* K n) in m 1.600 * [taylor]: Taking taylor expansion of K in m 1.600 * [backup-simplify]: Simplify K into K 1.600 * [taylor]: Taking taylor expansion of n in m 1.600 * [backup-simplify]: Simplify n into n 1.600 * [backup-simplify]: Simplify (* K n) into (* K n) 1.600 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.600 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.600 * [taylor]: Taking taylor expansion of M in m 1.600 * [backup-simplify]: Simplify M into M 1.601 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.601 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.601 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.601 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.601 * [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))) 1.601 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.601 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.601 * [taylor]: Taking taylor expansion of 1/2 in K 1.601 * [backup-simplify]: Simplify 1/2 into 1/2 1.601 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.601 * [taylor]: Taking taylor expansion of (* m K) in K 1.601 * [taylor]: Taking taylor expansion of m in K 1.601 * [backup-simplify]: Simplify m into m 1.601 * [taylor]: Taking taylor expansion of K in K 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (* m 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.602 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.602 * [taylor]: Taking taylor expansion of 1/2 in K 1.602 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.602 * [taylor]: Taking taylor expansion of (* K n) in K 1.602 * [taylor]: Taking taylor expansion of K in K 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [taylor]: Taking taylor expansion of n in K 1.602 * [backup-simplify]: Simplify n into n 1.602 * [backup-simplify]: Simplify (* 0 n) into 0 1.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.603 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.603 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.603 * [taylor]: Taking taylor expansion of M in K 1.603 * [backup-simplify]: Simplify M into M 1.603 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.603 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.603 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.603 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.603 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.603 * [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))) 1.603 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.603 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.604 * [taylor]: Taking taylor expansion of 1/2 in K 1.604 * [backup-simplify]: Simplify 1/2 into 1/2 1.604 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.604 * [taylor]: Taking taylor expansion of (* m K) in K 1.604 * [taylor]: Taking taylor expansion of m in K 1.604 * [backup-simplify]: Simplify m into m 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (* m 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.604 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.604 * [taylor]: Taking taylor expansion of 1/2 in K 1.604 * [backup-simplify]: Simplify 1/2 into 1/2 1.604 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.604 * [taylor]: Taking taylor expansion of (* K n) in K 1.604 * [taylor]: Taking taylor expansion of K in K 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [taylor]: Taking taylor expansion of n in K 1.604 * [backup-simplify]: Simplify n into n 1.605 * [backup-simplify]: Simplify (* 0 n) into 0 1.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.605 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.605 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.605 * [taylor]: Taking taylor expansion of M in K 1.605 * [backup-simplify]: Simplify M into M 1.605 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.605 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.605 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.605 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.605 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.606 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.606 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.606 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.606 * [taylor]: Taking taylor expansion of 1/2 in m 1.606 * [backup-simplify]: Simplify 1/2 into 1/2 1.606 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.606 * [taylor]: Taking taylor expansion of (* m K) in m 1.606 * [taylor]: Taking taylor expansion of m in m 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of K in m 1.606 * [backup-simplify]: Simplify K into K 1.606 * [backup-simplify]: Simplify (* 0 K) into 0 1.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.607 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.607 * [taylor]: Taking taylor expansion of 1/2 in m 1.607 * [backup-simplify]: Simplify 1/2 into 1/2 1.607 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.607 * [taylor]: Taking taylor expansion of (* K n) in m 1.607 * [taylor]: Taking taylor expansion of K in m 1.607 * [backup-simplify]: Simplify K into K 1.607 * [taylor]: Taking taylor expansion of n in m 1.607 * [backup-simplify]: Simplify n into n 1.607 * [backup-simplify]: Simplify (* K n) into (* K n) 1.607 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.607 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.607 * [taylor]: Taking taylor expansion of M in m 1.607 * [backup-simplify]: Simplify M into M 1.607 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.607 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.607 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.607 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.608 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.608 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.608 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.608 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.608 * [taylor]: Taking taylor expansion of 1/2 in n 1.608 * [backup-simplify]: Simplify 1/2 into 1/2 1.608 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.608 * [taylor]: Taking taylor expansion of (* m K) in n 1.608 * [taylor]: Taking taylor expansion of m in n 1.608 * [backup-simplify]: Simplify m into m 1.608 * [taylor]: Taking taylor expansion of K in n 1.608 * [backup-simplify]: Simplify K into K 1.608 * [backup-simplify]: Simplify (* m K) into (* m K) 1.608 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.608 * [taylor]: Taking taylor expansion of 1/2 in n 1.608 * [backup-simplify]: Simplify 1/2 into 1/2 1.608 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.608 * [taylor]: Taking taylor expansion of (* K n) in n 1.608 * [taylor]: Taking taylor expansion of K in n 1.608 * [backup-simplify]: Simplify K into K 1.608 * [taylor]: Taking taylor expansion of n in n 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (* K 0) into 0 1.609 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.609 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.609 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.609 * [taylor]: Taking taylor expansion of M in n 1.609 * [backup-simplify]: Simplify M into M 1.609 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.609 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.609 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.609 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.609 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.609 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.609 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.609 * [taylor]: Taking taylor expansion of 1/2 in M 1.609 * [backup-simplify]: Simplify 1/2 into 1/2 1.609 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.610 * [taylor]: Taking taylor expansion of (* m K) in M 1.610 * [taylor]: Taking taylor expansion of m in M 1.610 * [backup-simplify]: Simplify m into m 1.610 * [taylor]: Taking taylor expansion of K in M 1.610 * [backup-simplify]: Simplify K into K 1.610 * [backup-simplify]: Simplify (* m K) into (* m K) 1.610 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.610 * [taylor]: Taking taylor expansion of 1/2 in M 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.610 * [taylor]: Taking taylor expansion of (* K n) in M 1.610 * [taylor]: Taking taylor expansion of K in M 1.610 * [backup-simplify]: Simplify K into K 1.610 * [taylor]: Taking taylor expansion of n in M 1.610 * [backup-simplify]: Simplify n into n 1.610 * [backup-simplify]: Simplify (* K n) into (* K n) 1.610 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.610 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.610 * [taylor]: Taking taylor expansion of M in M 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (- 1) into -1 1.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.612 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.612 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.612 * [taylor]: Taking taylor expansion of 0 in m 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in n 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in M 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in n 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in M 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in M 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in m 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in n 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of 0 in M 1.612 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in n 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [taylor]: Taking taylor expansion of 0 in M 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (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)) 1.613 * [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)))))) 1.613 * [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 1.613 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.613 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.613 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.613 * [taylor]: Taking taylor expansion of M in M 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (/ 1 1) into 1 1.614 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.614 * [taylor]: Taking taylor expansion of 1/2 in M 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.614 * [taylor]: Taking taylor expansion of (* m K) in M 1.614 * [taylor]: Taking taylor expansion of m in M 1.614 * [backup-simplify]: Simplify m into m 1.614 * [taylor]: Taking taylor expansion of K in M 1.614 * [backup-simplify]: Simplify K into K 1.614 * [backup-simplify]: Simplify (* m K) into (* m K) 1.614 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.614 * [taylor]: Taking taylor expansion of 1/2 in M 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.614 * [taylor]: Taking taylor expansion of (* K n) in M 1.615 * [taylor]: Taking taylor expansion of K in M 1.615 * [backup-simplify]: Simplify K into K 1.615 * [taylor]: Taking taylor expansion of n in M 1.615 * [backup-simplify]: Simplify n into n 1.615 * [backup-simplify]: Simplify (* K n) into (* K n) 1.615 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.615 * [backup-simplify]: Simplify (+ 1 0) into 1 1.615 * [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)))))) 1.615 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.616 * [taylor]: Taking taylor expansion of M in n 1.616 * [backup-simplify]: Simplify M into M 1.616 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.616 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.616 * [taylor]: Taking taylor expansion of 1/2 in n 1.616 * [backup-simplify]: Simplify 1/2 into 1/2 1.616 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.616 * [taylor]: Taking taylor expansion of (* m K) in n 1.616 * [taylor]: Taking taylor expansion of m in n 1.616 * [backup-simplify]: Simplify m into m 1.616 * [taylor]: Taking taylor expansion of K in n 1.616 * [backup-simplify]: Simplify K into K 1.616 * [backup-simplify]: Simplify (* m K) into (* m K) 1.616 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.616 * [taylor]: Taking taylor expansion of 1/2 in n 1.616 * [backup-simplify]: Simplify 1/2 into 1/2 1.616 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.616 * [taylor]: Taking taylor expansion of (* K n) in n 1.616 * [taylor]: Taking taylor expansion of K in n 1.616 * [backup-simplify]: Simplify K into K 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* K 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.617 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.617 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.617 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.617 * [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)))))) 1.617 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.617 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.617 * [taylor]: Taking taylor expansion of M in m 1.617 * [backup-simplify]: Simplify M into M 1.618 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.618 * [taylor]: Taking taylor expansion of 1/2 in m 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.618 * [taylor]: Taking taylor expansion of (* m K) in m 1.618 * [taylor]: Taking taylor expansion of m in m 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of K in m 1.618 * [backup-simplify]: Simplify K into K 1.618 * [backup-simplify]: Simplify (* 0 K) into 0 1.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.618 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.618 * [taylor]: Taking taylor expansion of 1/2 in m 1.618 * [backup-simplify]: Simplify 1/2 into 1/2 1.618 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.618 * [taylor]: Taking taylor expansion of (* K n) in m 1.618 * [taylor]: Taking taylor expansion of K in m 1.618 * [backup-simplify]: Simplify K into K 1.618 * [taylor]: Taking taylor expansion of n in m 1.619 * [backup-simplify]: Simplify n into n 1.619 * [backup-simplify]: Simplify (* K n) into (* K n) 1.619 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.619 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.619 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.619 * [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)))))) 1.619 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.619 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.619 * [taylor]: Taking taylor expansion of M in K 1.619 * [backup-simplify]: Simplify M into M 1.619 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.619 * [taylor]: Taking taylor expansion of 1/2 in K 1.619 * [backup-simplify]: Simplify 1/2 into 1/2 1.619 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.619 * [taylor]: Taking taylor expansion of (* m K) in K 1.619 * [taylor]: Taking taylor expansion of m in K 1.620 * [backup-simplify]: Simplify m into m 1.620 * [taylor]: Taking taylor expansion of K in K 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* m 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.620 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.620 * [taylor]: Taking taylor expansion of 1/2 in K 1.620 * [backup-simplify]: Simplify 1/2 into 1/2 1.620 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.620 * [taylor]: Taking taylor expansion of (* K n) in K 1.620 * [taylor]: Taking taylor expansion of K in K 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [taylor]: Taking taylor expansion of n in K 1.620 * [backup-simplify]: Simplify n into n 1.620 * [backup-simplify]: Simplify (* 0 n) into 0 1.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.621 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.621 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.621 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.621 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.622 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.622 * [taylor]: Taking taylor expansion of M in K 1.622 * [backup-simplify]: Simplify M into M 1.622 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.622 * [taylor]: Taking taylor expansion of 1/2 in K 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.622 * [taylor]: Taking taylor expansion of (* m K) in K 1.622 * [taylor]: Taking taylor expansion of m in K 1.622 * [backup-simplify]: Simplify m into m 1.622 * [taylor]: Taking taylor expansion of K in K 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (* m 0) into 0 1.622 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.622 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.622 * [taylor]: Taking taylor expansion of 1/2 in K 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.622 * [taylor]: Taking taylor expansion of (* K n) in K 1.623 * [taylor]: Taking taylor expansion of K in K 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [taylor]: Taking taylor expansion of n in K 1.623 * [backup-simplify]: Simplify n into n 1.623 * [backup-simplify]: Simplify (* 0 n) into 0 1.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.623 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.623 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.623 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.623 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.624 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.624 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.624 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.624 * [taylor]: Taking taylor expansion of M in m 1.624 * [backup-simplify]: Simplify M into M 1.624 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.624 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.624 * [taylor]: Taking taylor expansion of 1/2 in m 1.624 * [backup-simplify]: Simplify 1/2 into 1/2 1.624 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.624 * [taylor]: Taking taylor expansion of (* m K) in m 1.624 * [taylor]: Taking taylor expansion of m in m 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of K in m 1.624 * [backup-simplify]: Simplify K into K 1.624 * [backup-simplify]: Simplify (* 0 K) into 0 1.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.625 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.625 * [taylor]: Taking taylor expansion of 1/2 in m 1.625 * [backup-simplify]: Simplify 1/2 into 1/2 1.625 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.625 * [taylor]: Taking taylor expansion of (* K n) in m 1.625 * [taylor]: Taking taylor expansion of K in m 1.625 * [backup-simplify]: Simplify K into K 1.625 * [taylor]: Taking taylor expansion of n in m 1.625 * [backup-simplify]: Simplify n into n 1.625 * [backup-simplify]: Simplify (* K n) into (* K n) 1.625 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.625 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.625 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.625 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.626 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.626 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.626 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.626 * [taylor]: Taking taylor expansion of M in n 1.626 * [backup-simplify]: Simplify M into M 1.626 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.626 * [taylor]: Taking taylor expansion of 1/2 in n 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.626 * [taylor]: Taking taylor expansion of (* m K) in n 1.626 * [taylor]: Taking taylor expansion of m in n 1.626 * [backup-simplify]: Simplify m into m 1.626 * [taylor]: Taking taylor expansion of K in n 1.626 * [backup-simplify]: Simplify K into K 1.626 * [backup-simplify]: Simplify (* m K) into (* m K) 1.626 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.626 * [taylor]: Taking taylor expansion of 1/2 in n 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.626 * [taylor]: Taking taylor expansion of (* K n) in n 1.626 * [taylor]: Taking taylor expansion of K in n 1.626 * [backup-simplify]: Simplify K into K 1.626 * [taylor]: Taking taylor expansion of n in n 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* K 0) into 0 1.627 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.627 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.627 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.627 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.627 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.627 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.627 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.627 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.627 * [taylor]: Taking taylor expansion of M in M 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.628 * [taylor]: Taking taylor expansion of 1/2 in M 1.628 * [backup-simplify]: Simplify 1/2 into 1/2 1.628 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.628 * [taylor]: Taking taylor expansion of (* m K) in M 1.628 * [taylor]: Taking taylor expansion of m in M 1.628 * [backup-simplify]: Simplify m into m 1.628 * [taylor]: Taking taylor expansion of K in M 1.628 * [backup-simplify]: Simplify K into K 1.628 * [backup-simplify]: Simplify (* m K) into (* m K) 1.628 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.628 * [taylor]: Taking taylor expansion of 1/2 in M 1.628 * [backup-simplify]: Simplify 1/2 into 1/2 1.628 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.628 * [taylor]: Taking taylor expansion of (* K n) in M 1.628 * [taylor]: Taking taylor expansion of K in M 1.628 * [backup-simplify]: Simplify K into K 1.628 * [taylor]: Taking taylor expansion of n in M 1.628 * [backup-simplify]: Simplify n into n 1.628 * [backup-simplify]: Simplify (* K n) into (* K n) 1.628 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.629 * [backup-simplify]: Simplify (+ 1 0) into 1 1.629 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.629 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.630 * [taylor]: Taking taylor expansion of 0 in m 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in M 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in M 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in M 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in m 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in M 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in n 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [taylor]: Taking taylor expansion of 0 in M 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 0 into 0 1.631 * [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)) 1.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 1.631 * [backup-simplify]: Simplify (pow (- (/ (+ m n) 2) M) 2) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 1.631 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 1.631 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 1.631 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.631 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.631 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.631 * [taylor]: Taking taylor expansion of 1/2 in M 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of m in M 1.631 * [backup-simplify]: Simplify m into m 1.631 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.631 * [taylor]: Taking taylor expansion of 1/2 in M 1.631 * [backup-simplify]: Simplify 1/2 into 1/2 1.631 * [taylor]: Taking taylor expansion of n in M 1.631 * [backup-simplify]: Simplify n into n 1.631 * [taylor]: Taking taylor expansion of M in M 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.631 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.632 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 1.632 * [backup-simplify]: Simplify (- 0) into 0 1.632 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.632 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 1.632 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.632 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.632 * [taylor]: Taking taylor expansion of 1/2 in n 1.632 * [backup-simplify]: Simplify 1/2 into 1/2 1.632 * [taylor]: Taking taylor expansion of m in n 1.632 * [backup-simplify]: Simplify m into m 1.632 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.633 * [taylor]: Taking taylor expansion of 1/2 in n 1.633 * [backup-simplify]: Simplify 1/2 into 1/2 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [taylor]: Taking taylor expansion of M in n 1.633 * [backup-simplify]: Simplify M into M 1.633 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.633 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 1.633 * [backup-simplify]: Simplify (- M) into (- M) 1.633 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 1.633 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.634 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.634 * [taylor]: Taking taylor expansion of (* 1/2 m) 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 m in m 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [taylor]: Taking taylor expansion of (* 1/2 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 n in m 1.634 * [backup-simplify]: Simplify n into n 1.634 * [taylor]: Taking taylor expansion of M in m 1.634 * [backup-simplify]: Simplify M into M 1.634 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.634 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.634 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.635 * [backup-simplify]: Simplify (- M) into (- M) 1.635 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.635 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.635 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.635 * [taylor]: Taking taylor expansion of 1/2 in m 1.635 * [backup-simplify]: Simplify 1/2 into 1/2 1.635 * [taylor]: Taking taylor expansion of m in m 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.635 * [taylor]: Taking taylor expansion of 1/2 in m 1.635 * [backup-simplify]: Simplify 1/2 into 1/2 1.635 * [taylor]: Taking taylor expansion of n in m 1.635 * [backup-simplify]: Simplify n into n 1.635 * [taylor]: Taking taylor expansion of M in m 1.635 * [backup-simplify]: Simplify M into M 1.635 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.636 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.636 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.636 * [backup-simplify]: Simplify (- M) into (- M) 1.636 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.636 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.636 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 1.636 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.636 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.636 * [taylor]: Taking taylor expansion of 1/2 in n 1.636 * [backup-simplify]: Simplify 1/2 into 1/2 1.636 * [taylor]: Taking taylor expansion of n in n 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [taylor]: Taking taylor expansion of M in n 1.636 * [backup-simplify]: Simplify M into M 1.637 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.637 * [backup-simplify]: Simplify (- M) into (- M) 1.637 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.637 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 1.637 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.637 * [taylor]: Taking taylor expansion of M in M 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.639 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.640 * [backup-simplify]: Simplify (- 0) into 0 1.640 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.640 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.640 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.640 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.640 * [taylor]: Taking taylor expansion of 1/2 in n 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of M in n 1.640 * [backup-simplify]: Simplify M into M 1.641 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.641 * [backup-simplify]: Simplify (- M) into (- M) 1.641 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.641 * [taylor]: Taking taylor expansion of (- M) 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 1.642 * [backup-simplify]: Simplify (- 0) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.643 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 1.643 * [taylor]: Taking taylor expansion of (- M) in M 1.643 * [taylor]: Taking taylor expansion of M in M 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.647 * [taylor]: Taking taylor expansion of 1/4 in n 1.647 * [backup-simplify]: Simplify 1/4 into 1/4 1.647 * [taylor]: Taking taylor expansion of 1/4 in M 1.648 * [backup-simplify]: Simplify 1/4 into 1/4 1.648 * [backup-simplify]: Simplify 1/4 into 1/4 1.648 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.649 * [backup-simplify]: Simplify (- 0) into 0 1.649 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.649 * [taylor]: Taking taylor expansion of 1/2 in M 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 1.652 * [taylor]: Taking taylor expansion of 1/4 in M 1.652 * [backup-simplify]: Simplify 1/4 into 1/4 1.652 * [backup-simplify]: Simplify 1/4 into 1/4 1.652 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 1.653 * [backup-simplify]: Simplify (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 1.653 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 1.653 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 1.653 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) 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) 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 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 n) in M 1.653 * [taylor]: Taking taylor expansion of n in M 1.653 * [backup-simplify]: Simplify n into n 1.653 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.653 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.653 * [taylor]: Taking taylor expansion of M in M 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [backup-simplify]: Simplify (- 1) into -1 1.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.654 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 1.654 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.655 * [taylor]: Taking taylor expansion of 1/2 in n 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.655 * [taylor]: Taking taylor expansion of m in n 1.655 * [backup-simplify]: Simplify m into m 1.655 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.655 * [taylor]: Taking taylor expansion of 1/2 in n 1.655 * [backup-simplify]: Simplify 1/2 into 1/2 1.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.655 * [taylor]: Taking taylor expansion of n in n 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 M) in n 1.655 * [taylor]: Taking taylor expansion of M in n 1.655 * [backup-simplify]: Simplify M into M 1.655 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.656 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.656 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.657 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.657 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.657 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.657 * [taylor]: Taking taylor expansion of 1/2 in m 1.657 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.657 * [taylor]: Taking taylor expansion of m in m 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.657 * [taylor]: Taking taylor expansion of 1/2 in m 1.657 * [backup-simplify]: Simplify 1/2 into 1/2 1.657 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.658 * [taylor]: Taking taylor expansion of n in m 1.658 * [backup-simplify]: Simplify n into n 1.658 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.658 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.658 * [taylor]: Taking taylor expansion of M in m 1.658 * [backup-simplify]: Simplify M into M 1.658 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.659 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.659 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.659 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.659 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.659 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 m) in m 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 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 n) in m 1.660 * [taylor]: Taking taylor expansion of n in m 1.660 * [backup-simplify]: Simplify n into n 1.660 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.660 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.660 * [taylor]: Taking taylor expansion of M in m 1.660 * [backup-simplify]: Simplify M into M 1.660 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.661 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.661 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.661 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.662 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.662 * [taylor]: Taking taylor expansion of 1/4 in n 1.662 * [backup-simplify]: Simplify 1/4 into 1/4 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.664 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.664 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.664 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.664 * [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)) 1.664 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.664 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.664 * [taylor]: Taking taylor expansion of 1/2 in n 1.664 * [backup-simplify]: Simplify 1/2 into 1/2 1.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.664 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.665 * [taylor]: Taking taylor expansion of M in n 1.665 * [backup-simplify]: Simplify M into M 1.665 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.668 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.668 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.668 * [taylor]: Taking taylor expansion of M in n 1.668 * [backup-simplify]: Simplify M into M 1.668 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.668 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.668 * [taylor]: Taking taylor expansion of 1/4 in n 1.668 * [backup-simplify]: Simplify 1/4 into 1/4 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.668 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.668 * [taylor]: Taking taylor expansion of n in n 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (* 1 1) into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.669 * [taylor]: Taking taylor expansion of (* M n) in n 1.669 * [taylor]: Taking taylor expansion of M in n 1.669 * [backup-simplify]: Simplify M into M 1.669 * [taylor]: Taking taylor expansion of n in n 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (* M 0) into 0 1.669 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.669 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.670 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.670 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.670 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.670 * [taylor]: Taking taylor expansion of 1/4 in M 1.670 * [backup-simplify]: Simplify 1/4 into 1/4 1.670 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.671 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.671 * [taylor]: Taking taylor expansion of 1/2 in M 1.671 * [backup-simplify]: Simplify 1/2 into 1/2 1.671 * [taylor]: Taking taylor expansion of 1/4 in M 1.671 * [backup-simplify]: Simplify 1/4 into 1/4 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [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 1.674 * [taylor]: Taking taylor expansion of 0 in n 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.678 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.678 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.678 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.678 * [taylor]: Taking taylor expansion of M in M 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.679 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.679 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.679 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.679 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.679 * [taylor]: Taking taylor expansion of M in M 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [taylor]: Taking taylor expansion of 0 in M 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.683 * [backup-simplify]: Simplify (- 0) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [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 1.684 * [taylor]: Taking taylor expansion of 0 in n 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.686 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.686 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.687 * [taylor]: Taking taylor expansion of (pow M 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [taylor]: Taking taylor expansion of 0 in M 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [taylor]: Taking taylor expansion of 0 in M 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (- 1) into -1 1.689 * [backup-simplify]: Simplify -1 into -1 1.690 * [backup-simplify]: Simplify (- 1) into -1 1.690 * [backup-simplify]: Simplify -1 into -1 1.690 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.690 * [backup-simplify]: Simplify (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 1.690 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 1.690 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 1.690 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.690 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.690 * [taylor]: Taking taylor expansion of M in M 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.691 * [taylor]: Taking taylor expansion of 1/2 in M 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.691 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.691 * [taylor]: Taking taylor expansion of m in M 1.691 * [backup-simplify]: Simplify m into m 1.691 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.691 * [taylor]: Taking taylor expansion of 1/2 in M 1.691 * [backup-simplify]: Simplify 1/2 into 1/2 1.691 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.691 * [taylor]: Taking taylor expansion of n in M 1.691 * [backup-simplify]: Simplify n into n 1.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.691 * [backup-simplify]: Simplify (+ 1 0) into 1 1.691 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 1.691 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.691 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.691 * [taylor]: Taking taylor expansion of M in n 1.691 * [backup-simplify]: Simplify M into M 1.691 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.692 * [taylor]: Taking taylor expansion of 1/2 in n 1.692 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.692 * [taylor]: Taking taylor expansion of m in n 1.692 * [backup-simplify]: Simplify m into m 1.692 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.692 * [taylor]: Taking taylor expansion of 1/2 in n 1.692 * [backup-simplify]: Simplify 1/2 into 1/2 1.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.692 * [taylor]: Taking taylor expansion of n in n 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.693 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.693 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.693 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.693 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.693 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.693 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.693 * [taylor]: Taking taylor expansion of M in m 1.693 * [backup-simplify]: Simplify M into M 1.693 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.693 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.693 * [taylor]: Taking taylor expansion of 1/2 in m 1.693 * [backup-simplify]: Simplify 1/2 into 1/2 1.693 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.693 * [taylor]: Taking taylor expansion of m in m 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.694 * [taylor]: Taking taylor expansion of 1/2 in m 1.694 * [backup-simplify]: Simplify 1/2 into 1/2 1.694 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.694 * [taylor]: Taking taylor expansion of n in m 1.694 * [backup-simplify]: Simplify n into n 1.694 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.694 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.695 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.695 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.695 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.695 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.695 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.695 * [taylor]: Taking taylor expansion of M in m 1.695 * [backup-simplify]: Simplify M into M 1.695 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.695 * [taylor]: Taking taylor expansion of 1/2 in m 1.695 * [backup-simplify]: Simplify 1/2 into 1/2 1.695 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.695 * [taylor]: Taking taylor expansion of m in m 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.695 * [taylor]: Taking taylor expansion of 1/2 in m 1.695 * [backup-simplify]: Simplify 1/2 into 1/2 1.695 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.695 * [taylor]: Taking taylor expansion of n in m 1.695 * [backup-simplify]: Simplify n into n 1.695 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.696 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.696 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.697 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.697 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.697 * [taylor]: Taking taylor expansion of 1/4 in n 1.697 * [backup-simplify]: Simplify 1/4 into 1/4 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.698 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.698 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.698 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.698 * [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)) 1.698 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.698 * [taylor]: Taking taylor expansion of 1/2 in n 1.698 * [backup-simplify]: Simplify 1/2 into 1/2 1.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.698 * [taylor]: Taking taylor expansion of n in n 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.699 * [taylor]: Taking taylor expansion of M in n 1.699 * [backup-simplify]: Simplify M into M 1.699 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [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))) 1.704 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.704 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.704 * [taylor]: Taking taylor expansion of M in n 1.704 * [backup-simplify]: Simplify M into M 1.704 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.704 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.704 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.704 * [taylor]: Taking taylor expansion of 1/4 in n 1.704 * [backup-simplify]: Simplify 1/4 into 1/4 1.704 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.704 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.704 * [taylor]: Taking taylor expansion of n in n 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (* 1 1) into 1 1.705 * [backup-simplify]: Simplify (/ 1 1) into 1 1.705 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.705 * [taylor]: Taking taylor expansion of (* M n) in n 1.705 * [taylor]: Taking taylor expansion of M in n 1.706 * [backup-simplify]: Simplify M into M 1.706 * [taylor]: Taking taylor expansion of n in n 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* M 0) into 0 1.706 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.707 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.707 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.708 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.708 * [taylor]: Taking taylor expansion of 1/4 in M 1.708 * [backup-simplify]: Simplify 1/4 into 1/4 1.708 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.709 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.709 * [taylor]: Taking taylor expansion of 1/2 in M 1.709 * [backup-simplify]: Simplify 1/2 into 1/2 1.709 * [taylor]: Taking taylor expansion of 1/4 in M 1.709 * [backup-simplify]: Simplify 1/4 into 1/4 1.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [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 1.714 * [taylor]: Taking taylor expansion of 0 in n 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.717 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.717 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.717 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.717 * [taylor]: Taking taylor expansion of M in M 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.719 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.719 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.719 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.719 * [taylor]: Taking taylor expansion of M in M 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of 0 in M 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.723 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [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 1.726 * [taylor]: Taking taylor expansion of 0 in n 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.728 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.729 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.730 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.730 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.730 * [taylor]: Taking taylor expansion of M in M 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [taylor]: Taking taylor expansion of 0 in M 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [taylor]: Taking taylor expansion of 0 in M 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (- 1) into -1 1.734 * [backup-simplify]: Simplify -1 into -1 1.734 * [backup-simplify]: Simplify (- 1) into -1 1.734 * [backup-simplify]: Simplify -1 into -1 1.735 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.735 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.735 * [backup-simplify]: Simplify (* K (+ m n)) into (* K (+ m n)) 1.735 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 1.735 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.735 * [taylor]: Taking taylor expansion of K in n 1.735 * [backup-simplify]: Simplify K into K 1.735 * [taylor]: Taking taylor expansion of (+ m n) in n 1.735 * [taylor]: Taking taylor expansion of m in n 1.735 * [backup-simplify]: Simplify m into m 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.735 * [taylor]: Taking taylor expansion of K in m 1.735 * [backup-simplify]: Simplify K into K 1.735 * [taylor]: Taking taylor expansion of (+ m n) in m 1.735 * [taylor]: Taking taylor expansion of m in m 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [taylor]: Taking taylor expansion of n in m 1.735 * [backup-simplify]: Simplify n into n 1.735 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.735 * [taylor]: Taking taylor expansion of K in K 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [taylor]: Taking taylor expansion of (+ m n) in K 1.736 * [taylor]: Taking taylor expansion of m in K 1.736 * [backup-simplify]: Simplify m into m 1.736 * [taylor]: Taking taylor expansion of n in K 1.736 * [backup-simplify]: Simplify n into n 1.736 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.736 * [taylor]: Taking taylor expansion of K in K 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [taylor]: Taking taylor expansion of (+ m n) in K 1.736 * [taylor]: Taking taylor expansion of m in K 1.736 * [backup-simplify]: Simplify m into m 1.736 * [taylor]: Taking taylor expansion of n in K 1.736 * [backup-simplify]: Simplify n into n 1.736 * [backup-simplify]: Simplify (+ m n) into (+ m n) 1.736 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 1.736 * [taylor]: Taking taylor expansion of 0 in m 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [taylor]: Taking taylor expansion of 0 in n 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 1.737 * [taylor]: Taking taylor expansion of (+ m n) in m 1.737 * [taylor]: Taking taylor expansion of m in m 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of n in m 1.737 * [backup-simplify]: Simplify n into n 1.737 * [backup-simplify]: Simplify (+ 0 n) into n 1.737 * [taylor]: Taking taylor expansion of n in n 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [taylor]: Taking taylor expansion of 0 in n 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in m 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [taylor]: Taking taylor expansion of 0 in n 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [taylor]: Taking taylor expansion of 1 in n 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of 0 in n 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 1.741 * [taylor]: Taking taylor expansion of 0 in m 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [taylor]: Taking taylor expansion of 0 in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [taylor]: Taking taylor expansion of 0 in n 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 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 1.742 * [backup-simplify]: Simplify 0 into 0 1.743 * [taylor]: Taking taylor expansion of 0 in n 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* K n)) 1.743 * [backup-simplify]: Simplify (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.743 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 1.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.743 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.743 * [taylor]: Taking taylor expansion of m in n 1.743 * [backup-simplify]: Simplify m into m 1.743 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.743 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.743 * [taylor]: Taking taylor expansion of n in n 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of K in n 1.744 * [backup-simplify]: Simplify K into K 1.744 * [backup-simplify]: Simplify (+ 0 1) into 1 1.745 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.745 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.745 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.745 * [taylor]: Taking taylor expansion of m in m 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (/ 1 1) into 1 1.745 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.745 * [taylor]: Taking taylor expansion of n in m 1.745 * [backup-simplify]: Simplify n into n 1.745 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.745 * [taylor]: Taking taylor expansion of K in m 1.745 * [backup-simplify]: Simplify K into K 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.746 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.746 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.746 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.746 * [taylor]: Taking taylor expansion of m in K 1.746 * [backup-simplify]: Simplify m into m 1.746 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.746 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.746 * [taylor]: Taking taylor expansion of n in K 1.746 * [backup-simplify]: Simplify n into n 1.746 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.746 * [taylor]: Taking taylor expansion of K in K 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.747 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.747 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.747 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.747 * [taylor]: Taking taylor expansion of m in K 1.747 * [backup-simplify]: Simplify m into m 1.747 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.747 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.747 * [taylor]: Taking taylor expansion of n in K 1.747 * [backup-simplify]: Simplify n into n 1.747 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.747 * [taylor]: Taking taylor expansion of K in K 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.747 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.747 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.747 * [taylor]: Taking taylor expansion of m in m 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.748 * [taylor]: Taking taylor expansion of n in m 1.748 * [backup-simplify]: Simplify n into n 1.748 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.749 * [backup-simplify]: Simplify (+ 1 0) into 1 1.749 * [taylor]: Taking taylor expansion of 1 in n 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 1.751 * [taylor]: Taking taylor expansion of 0 in m 1.751 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.752 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.752 * [taylor]: Taking taylor expansion of n in n 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.755 * [taylor]: Taking taylor expansion of 0 in m 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [taylor]: Taking taylor expansion of 0 in n 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [taylor]: Taking taylor expansion of 0 in n 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [taylor]: Taking taylor expansion of 0 in m 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [taylor]: Taking taylor expansion of 0 in n 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [taylor]: Taking taylor expansion of 0 in n 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [taylor]: Taking taylor expansion of 0 in n 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* K n)) 1.763 * [backup-simplify]: Simplify (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.763 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 1.763 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.763 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.763 * [taylor]: Taking taylor expansion of m in n 1.763 * [backup-simplify]: Simplify m into m 1.763 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.764 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.764 * [taylor]: Taking taylor expansion of n in n 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of K in n 1.764 * [backup-simplify]: Simplify K into K 1.764 * [backup-simplify]: Simplify (+ 0 1) into 1 1.765 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.765 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.765 * [taylor]: Taking taylor expansion of m in m 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.765 * [taylor]: Taking taylor expansion of n in m 1.765 * [backup-simplify]: Simplify n into n 1.765 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.765 * [taylor]: Taking taylor expansion of K in m 1.765 * [backup-simplify]: Simplify K into K 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.766 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.766 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.766 * [taylor]: Taking taylor expansion of m in K 1.766 * [backup-simplify]: Simplify m into m 1.766 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.766 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.766 * [taylor]: Taking taylor expansion of n in K 1.766 * [backup-simplify]: Simplify n into n 1.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.766 * [taylor]: Taking taylor expansion of K in K 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.766 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.767 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.767 * [taylor]: Taking taylor expansion of m in K 1.767 * [backup-simplify]: Simplify m into m 1.767 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.767 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.767 * [taylor]: Taking taylor expansion of n in K 1.767 * [backup-simplify]: Simplify n into n 1.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.767 * [taylor]: Taking taylor expansion of K in K 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.767 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.767 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.767 * [taylor]: Taking taylor expansion of m in m 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (/ 1 1) into 1 1.768 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.768 * [taylor]: Taking taylor expansion of n in m 1.768 * [backup-simplify]: Simplify n into n 1.768 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.768 * [backup-simplify]: Simplify (+ 1 0) into 1 1.768 * [taylor]: Taking taylor expansion of 1 in n 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 1.770 * [taylor]: Taking taylor expansion of 0 in m 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.771 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (/ 1 1) into 1 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in m 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [taylor]: Taking taylor expansion of 0 in n 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.775 * [backup-simplify]: Simplify (+ 0 0) into 0 1.775 * [taylor]: Taking taylor expansion of 0 in n 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.779 * [taylor]: Taking taylor expansion of 0 in m 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in n 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [taylor]: Taking taylor expansion of 0 in n 1.779 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.781 * [backup-simplify]: Simplify (+ 0 0) into 0 1.781 * [taylor]: Taking taylor expansion of 0 in n 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* K n)) 1.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.783 * [backup-simplify]: Simplify (- (/ (* K (+ m n)) 2) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.783 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (K m n M) around 0 1.783 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.783 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) 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 (* K n) in M 1.783 * [taylor]: Taking taylor expansion of K in M 1.783 * [backup-simplify]: Simplify K into K 1.783 * [taylor]: Taking taylor expansion of n in M 1.783 * [backup-simplify]: Simplify n into n 1.783 * [taylor]: Taking taylor expansion of (* 1/2 (* K 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 (* K m) in M 1.783 * [taylor]: Taking taylor expansion of K in M 1.783 * [backup-simplify]: Simplify K into K 1.783 * [taylor]: Taking taylor expansion of m in M 1.783 * [backup-simplify]: Simplify m into 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 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.784 * [taylor]: Taking taylor expansion of 1/2 in n 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (* K n) in n 1.784 * [taylor]: Taking taylor expansion of K in n 1.784 * [backup-simplify]: Simplify K into K 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.784 * [taylor]: Taking taylor expansion of 1/2 in n 1.784 * [backup-simplify]: Simplify 1/2 into 1/2 1.784 * [taylor]: Taking taylor expansion of (* K m) in n 1.784 * [taylor]: Taking taylor expansion of K in n 1.784 * [backup-simplify]: Simplify K into K 1.784 * [taylor]: Taking taylor expansion of m in n 1.784 * [backup-simplify]: Simplify m into m 1.784 * [taylor]: Taking taylor expansion of M in n 1.784 * [backup-simplify]: Simplify M into M 1.784 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (* K 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 (* K n) in m 1.784 * [taylor]: Taking taylor expansion of K in m 1.784 * [backup-simplify]: Simplify K into K 1.784 * [taylor]: Taking taylor expansion of n in m 1.784 * [backup-simplify]: Simplify n into n 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (* K 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 (* K m) in m 1.784 * [taylor]: Taking taylor expansion of K in m 1.784 * [backup-simplify]: Simplify K into K 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 * [taylor]: Taking taylor expansion of M in m 1.784 * [backup-simplify]: Simplify M into M 1.784 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.784 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.785 * [taylor]: Taking taylor expansion of 1/2 in K 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (* K n) in K 1.785 * [taylor]: Taking taylor expansion of K in K 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [taylor]: Taking taylor expansion of n in K 1.785 * [backup-simplify]: Simplify n into n 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.785 * [taylor]: Taking taylor expansion of 1/2 in K 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (* K m) in K 1.785 * [taylor]: Taking taylor expansion of K in K 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [taylor]: Taking taylor expansion of m in K 1.785 * [backup-simplify]: Simplify m into m 1.785 * [taylor]: Taking taylor expansion of M in K 1.785 * [backup-simplify]: Simplify M into M 1.785 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.785 * [taylor]: Taking taylor expansion of 1/2 in K 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (* K n) in K 1.785 * [taylor]: Taking taylor expansion of K in K 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [taylor]: Taking taylor expansion of n in K 1.785 * [backup-simplify]: Simplify n into n 1.785 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.785 * [taylor]: Taking taylor expansion of 1/2 in K 1.785 * [backup-simplify]: Simplify 1/2 into 1/2 1.785 * [taylor]: Taking taylor expansion of (* K m) in K 1.785 * [taylor]: Taking taylor expansion of K in K 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [taylor]: Taking taylor expansion of m in K 1.785 * [backup-simplify]: Simplify m into m 1.785 * [taylor]: Taking taylor expansion of M in K 1.785 * [backup-simplify]: Simplify M into M 1.786 * [backup-simplify]: Simplify (* 0 n) into 0 1.786 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.786 * [backup-simplify]: Simplify (* 0 m) into 0 1.787 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (- M) into (- M) 1.787 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.787 * [taylor]: Taking taylor expansion of (- M) in m 1.787 * [taylor]: Taking taylor expansion of M in m 1.787 * [backup-simplify]: Simplify M into M 1.787 * [backup-simplify]: Simplify (- M) into (- M) 1.787 * [taylor]: Taking taylor expansion of (- M) in n 1.788 * [taylor]: Taking taylor expansion of M in n 1.788 * [backup-simplify]: Simplify M into M 1.788 * [backup-simplify]: Simplify (- M) into (- M) 1.788 * [taylor]: Taking taylor expansion of (- M) in M 1.788 * [taylor]: Taking taylor expansion of M in M 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.789 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 1.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 1.790 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 1.790 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 1.790 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.791 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.791 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.791 * [taylor]: Taking taylor expansion of 1/2 in m 1.791 * [backup-simplify]: Simplify 1/2 into 1/2 1.791 * [taylor]: Taking taylor expansion of m in m 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.791 * [taylor]: Taking taylor expansion of 1/2 in m 1.791 * [backup-simplify]: Simplify 1/2 into 1/2 1.791 * [taylor]: Taking taylor expansion of n in m 1.791 * [backup-simplify]: Simplify n into n 1.791 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.791 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.792 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.792 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.792 * [taylor]: Taking taylor expansion of 1/2 in n 1.792 * [backup-simplify]: Simplify 1/2 into 1/2 1.792 * [taylor]: Taking taylor expansion of n in n 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.792 * [taylor]: Taking taylor expansion of 0 in M 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [taylor]: Taking taylor expansion of 0 in n 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [taylor]: Taking taylor expansion of 0 in M 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.793 * [taylor]: Taking taylor expansion of 0 in M 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- 1) into -1 1.794 * [backup-simplify]: Simplify -1 into -1 1.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [taylor]: Taking taylor expansion of 0 in m 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [taylor]: Taking taylor expansion of 0 in n 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [taylor]: Taking taylor expansion of 0 in M 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.801 * [taylor]: Taking taylor expansion of 1/2 in n 1.801 * [backup-simplify]: Simplify 1/2 into 1/2 1.801 * [taylor]: Taking taylor expansion of 1/2 in M 1.801 * [backup-simplify]: Simplify 1/2 into 1/2 1.801 * [backup-simplify]: Simplify 1/2 into 1/2 1.802 * [backup-simplify]: Simplify (- 0) into 0 1.802 * [taylor]: Taking taylor expansion of 0 in n 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [taylor]: Taking taylor expansion of 0 in M 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.803 * [taylor]: Taking taylor expansion of 1/2 in M 1.803 * [backup-simplify]: Simplify 1/2 into 1/2 1.803 * [backup-simplify]: Simplify 1/2 into 1/2 1.803 * [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) 1.804 * [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)) 1.804 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (K m n M) around 0 1.804 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.804 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.804 * [taylor]: Taking taylor expansion of 1/2 in M 1.804 * [backup-simplify]: Simplify 1/2 into 1/2 1.804 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.804 * [taylor]: Taking taylor expansion of (* m K) in M 1.804 * [taylor]: Taking taylor expansion of m in M 1.804 * [backup-simplify]: Simplify m into m 1.804 * [taylor]: Taking taylor expansion of K in M 1.804 * [backup-simplify]: Simplify K into K 1.804 * [backup-simplify]: Simplify (* m K) into (* m K) 1.804 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.804 * [taylor]: Taking taylor expansion of 1/2 in M 1.804 * [backup-simplify]: Simplify 1/2 into 1/2 1.804 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.804 * [taylor]: Taking taylor expansion of (* K n) in M 1.804 * [taylor]: Taking taylor expansion of K in M 1.805 * [backup-simplify]: Simplify K into K 1.805 * [taylor]: Taking taylor expansion of n in M 1.805 * [backup-simplify]: Simplify n into n 1.805 * [backup-simplify]: Simplify (* K n) into (* K n) 1.805 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.805 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.805 * [taylor]: Taking taylor expansion of M in M 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (/ 1 1) into 1 1.805 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.805 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.805 * [taylor]: Taking taylor expansion of 1/2 in n 1.805 * [backup-simplify]: Simplify 1/2 into 1/2 1.805 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.805 * [taylor]: Taking taylor expansion of (* m K) in n 1.805 * [taylor]: Taking taylor expansion of m in n 1.806 * [backup-simplify]: Simplify m into m 1.806 * [taylor]: Taking taylor expansion of K in n 1.806 * [backup-simplify]: Simplify K into K 1.806 * [backup-simplify]: Simplify (* m K) into (* m K) 1.806 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.806 * [taylor]: Taking taylor expansion of 1/2 in n 1.806 * [backup-simplify]: Simplify 1/2 into 1/2 1.806 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.806 * [taylor]: Taking taylor expansion of (* K n) in n 1.806 * [taylor]: Taking taylor expansion of K in n 1.806 * [backup-simplify]: Simplify K into K 1.806 * [taylor]: Taking taylor expansion of n in n 1.806 * [backup-simplify]: Simplify 0 into 0 1.806 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (* K 0) into 0 1.807 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.807 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.807 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.807 * [taylor]: Taking taylor expansion of M in n 1.807 * [backup-simplify]: Simplify M into M 1.807 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.807 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.807 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.807 * [taylor]: Taking taylor expansion of 1/2 in m 1.807 * [backup-simplify]: Simplify 1/2 into 1/2 1.807 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.807 * [taylor]: Taking taylor expansion of (* m K) in m 1.807 * [taylor]: Taking taylor expansion of m in m 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [taylor]: Taking taylor expansion of K in m 1.807 * [backup-simplify]: Simplify K into K 1.807 * [backup-simplify]: Simplify (* 0 K) into 0 1.808 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.808 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.808 * [taylor]: Taking taylor expansion of 1/2 in m 1.808 * [backup-simplify]: Simplify 1/2 into 1/2 1.808 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.808 * [taylor]: Taking taylor expansion of (* K n) in m 1.808 * [taylor]: Taking taylor expansion of K in m 1.808 * [backup-simplify]: Simplify K into K 1.808 * [taylor]: Taking taylor expansion of n in m 1.808 * [backup-simplify]: Simplify n into n 1.808 * [backup-simplify]: Simplify (* K n) into (* K n) 1.808 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.808 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.808 * [taylor]: Taking taylor expansion of M in m 1.808 * [backup-simplify]: Simplify M into M 1.808 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.808 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.808 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.808 * [taylor]: Taking taylor expansion of 1/2 in K 1.808 * [backup-simplify]: Simplify 1/2 into 1/2 1.808 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.808 * [taylor]: Taking taylor expansion of (* m K) in K 1.808 * [taylor]: Taking taylor expansion of m in K 1.809 * [backup-simplify]: Simplify m into m 1.809 * [taylor]: Taking taylor expansion of K in K 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (* m 0) into 0 1.809 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.809 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.809 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.809 * [taylor]: Taking taylor expansion of 1/2 in K 1.809 * [backup-simplify]: Simplify 1/2 into 1/2 1.809 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.809 * [taylor]: Taking taylor expansion of (* K n) in K 1.809 * [taylor]: Taking taylor expansion of K in K 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.809 * [taylor]: Taking taylor expansion of n in K 1.809 * [backup-simplify]: Simplify n into n 1.809 * [backup-simplify]: Simplify (* 0 n) into 0 1.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.810 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.810 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.810 * [taylor]: Taking taylor expansion of M in K 1.810 * [backup-simplify]: Simplify M into M 1.810 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.810 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.810 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.810 * [taylor]: Taking taylor expansion of 1/2 in K 1.810 * [backup-simplify]: Simplify 1/2 into 1/2 1.810 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.810 * [taylor]: Taking taylor expansion of (* m K) in K 1.810 * [taylor]: Taking taylor expansion of m in K 1.810 * [backup-simplify]: Simplify m into m 1.810 * [taylor]: Taking taylor expansion of K in K 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (* m 0) into 0 1.811 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.811 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.811 * [taylor]: Taking taylor expansion of 1/2 in K 1.811 * [backup-simplify]: Simplify 1/2 into 1/2 1.811 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.811 * [taylor]: Taking taylor expansion of (* K n) in K 1.811 * [taylor]: Taking taylor expansion of K in K 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [taylor]: Taking taylor expansion of n in K 1.811 * [backup-simplify]: Simplify n into n 1.811 * [backup-simplify]: Simplify (* 0 n) into 0 1.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.812 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.812 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.812 * [taylor]: Taking taylor expansion of M in K 1.812 * [backup-simplify]: Simplify M into M 1.812 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.812 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.812 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.812 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.813 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.813 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.813 * [taylor]: Taking taylor expansion of 1/2 in m 1.813 * [backup-simplify]: Simplify 1/2 into 1/2 1.813 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.813 * [taylor]: Taking taylor expansion of m in m 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (/ 1 1) into 1 1.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.813 * [taylor]: Taking taylor expansion of 1/2 in m 1.813 * [backup-simplify]: Simplify 1/2 into 1/2 1.813 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.813 * [taylor]: Taking taylor expansion of n in m 1.814 * [backup-simplify]: Simplify n into n 1.814 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.814 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.814 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.815 * [taylor]: Taking taylor expansion of 1/2 in n 1.815 * [backup-simplify]: Simplify 1/2 into 1/2 1.815 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 1.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.820 * [backup-simplify]: Simplify (+ 0 0) into 0 1.820 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.820 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.820 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in m 1.820 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.821 * [taylor]: Taking taylor expansion of M in m 1.821 * [backup-simplify]: Simplify M into M 1.821 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.822 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.822 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.823 * [taylor]: Taking taylor expansion of 1/2 in n 1.823 * [backup-simplify]: Simplify 1/2 into 1/2 1.823 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.823 * [taylor]: Taking taylor expansion of n in n 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.824 * [taylor]: Taking taylor expansion of 1/2 in M 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of 1/2 in M 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.825 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.829 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [taylor]: Taking taylor expansion of 0 in m 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.830 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in n 1.830 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.830 * [taylor]: Taking taylor expansion of M in n 1.830 * [backup-simplify]: Simplify M into M 1.830 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [taylor]: Taking taylor expansion of 0 in n 1.833 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.835 * [taylor]: Taking taylor expansion of 0 in M 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [taylor]: Taking taylor expansion of 0 in M 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.836 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.842 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [taylor]: Taking taylor expansion of 0 in m 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [taylor]: Taking taylor expansion of 0 in n 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.842 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [taylor]: Taking taylor expansion of 0 in n 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [taylor]: Taking taylor expansion of 0 in n 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.846 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.847 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.847 * [taylor]: Taking taylor expansion of M in M 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [backup-simplify]: Simplify (- 1) into -1 1.847 * [backup-simplify]: Simplify -1 into -1 1.848 * [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) 1.849 * [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))))) 1.849 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (K m n M) around 0 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.849 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.849 * [taylor]: Taking taylor expansion of M in M 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.850 * [taylor]: Taking taylor expansion of 1/2 in M 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.850 * [taylor]: Taking taylor expansion of (* m K) in M 1.850 * [taylor]: Taking taylor expansion of m in M 1.850 * [backup-simplify]: Simplify m into m 1.850 * [taylor]: Taking taylor expansion of K in M 1.850 * [backup-simplify]: Simplify K into K 1.850 * [backup-simplify]: Simplify (* m K) into (* m K) 1.850 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.850 * [taylor]: Taking taylor expansion of 1/2 in M 1.850 * [backup-simplify]: Simplify 1/2 into 1/2 1.850 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.850 * [taylor]: Taking taylor expansion of (* K n) in M 1.850 * [taylor]: Taking taylor expansion of K in M 1.850 * [backup-simplify]: Simplify K into K 1.851 * [taylor]: Taking taylor expansion of n in M 1.851 * [backup-simplify]: Simplify n into n 1.851 * [backup-simplify]: Simplify (* K n) into (* K n) 1.851 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.851 * [taylor]: Taking taylor expansion of M in n 1.851 * [backup-simplify]: Simplify M into M 1.851 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.851 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.851 * [taylor]: Taking taylor expansion of 1/2 in n 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.851 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.851 * [taylor]: Taking taylor expansion of (* m K) in n 1.851 * [taylor]: Taking taylor expansion of m in n 1.851 * [backup-simplify]: Simplify m into m 1.851 * [taylor]: Taking taylor expansion of K in n 1.851 * [backup-simplify]: Simplify K into K 1.851 * [backup-simplify]: Simplify (* m K) into (* m K) 1.851 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.851 * [taylor]: Taking taylor expansion of 1/2 in n 1.851 * [backup-simplify]: Simplify 1/2 into 1/2 1.851 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.851 * [taylor]: Taking taylor expansion of (* K n) in n 1.852 * [taylor]: Taking taylor expansion of K in n 1.852 * [backup-simplify]: Simplify K into K 1.852 * [taylor]: Taking taylor expansion of n in n 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (* K 0) into 0 1.852 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.852 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.852 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.852 * [taylor]: Taking taylor expansion of M in m 1.852 * [backup-simplify]: Simplify M into M 1.852 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.852 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.853 * [taylor]: Taking taylor expansion of 1/2 in m 1.853 * [backup-simplify]: Simplify 1/2 into 1/2 1.853 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.853 * [taylor]: Taking taylor expansion of (* m K) in m 1.853 * [taylor]: Taking taylor expansion of m in m 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of K in m 1.853 * [backup-simplify]: Simplify K into K 1.853 * [backup-simplify]: Simplify (* 0 K) into 0 1.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.853 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.853 * [taylor]: Taking taylor expansion of 1/2 in m 1.853 * [backup-simplify]: Simplify 1/2 into 1/2 1.853 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.854 * [taylor]: Taking taylor expansion of (* K n) in m 1.854 * [taylor]: Taking taylor expansion of K in m 1.854 * [backup-simplify]: Simplify K into K 1.854 * [taylor]: Taking taylor expansion of n in m 1.854 * [backup-simplify]: Simplify n into n 1.854 * [backup-simplify]: Simplify (* K n) into (* K n) 1.854 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.854 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.854 * [taylor]: Taking taylor expansion of M in K 1.854 * [backup-simplify]: Simplify M into M 1.854 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.854 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.854 * [taylor]: Taking taylor expansion of 1/2 in K 1.854 * [backup-simplify]: Simplify 1/2 into 1/2 1.854 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.854 * [taylor]: Taking taylor expansion of (* m K) in K 1.854 * [taylor]: Taking taylor expansion of m in K 1.854 * [backup-simplify]: Simplify m into m 1.854 * [taylor]: Taking taylor expansion of K in K 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (* m 0) into 0 1.855 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.855 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.855 * [taylor]: Taking taylor expansion of 1/2 in K 1.855 * [backup-simplify]: Simplify 1/2 into 1/2 1.855 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.855 * [taylor]: Taking taylor expansion of (* K n) in K 1.855 * [taylor]: Taking taylor expansion of K in K 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [taylor]: Taking taylor expansion of n in K 1.855 * [backup-simplify]: Simplify n into n 1.855 * [backup-simplify]: Simplify (* 0 n) into 0 1.856 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.856 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.856 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.856 * [taylor]: Taking taylor expansion of M in K 1.856 * [backup-simplify]: Simplify M into M 1.856 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.856 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.856 * [taylor]: Taking taylor expansion of 1/2 in K 1.856 * [backup-simplify]: Simplify 1/2 into 1/2 1.856 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.856 * [taylor]: Taking taylor expansion of (* m K) in K 1.856 * [taylor]: Taking taylor expansion of m in K 1.856 * [backup-simplify]: Simplify m into m 1.856 * [taylor]: Taking taylor expansion of K in K 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (* m 0) into 0 1.857 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.857 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.857 * [taylor]: Taking taylor expansion of 1/2 in K 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.857 * [taylor]: Taking taylor expansion of (* K n) in K 1.857 * [taylor]: Taking taylor expansion of K in K 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of n in K 1.857 * [backup-simplify]: Simplify n into n 1.857 * [backup-simplify]: Simplify (* 0 n) into 0 1.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.858 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.858 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.858 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.858 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.858 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.858 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.858 * [taylor]: Taking taylor expansion of 1/2 in m 1.858 * [backup-simplify]: Simplify 1/2 into 1/2 1.858 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.858 * [taylor]: Taking taylor expansion of m in m 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (/ 1 1) into 1 1.859 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.859 * [taylor]: Taking taylor expansion of 1/2 in m 1.859 * [backup-simplify]: Simplify 1/2 into 1/2 1.859 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.859 * [taylor]: Taking taylor expansion of n in m 1.859 * [backup-simplify]: Simplify n into n 1.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.860 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.860 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.860 * [taylor]: Taking taylor expansion of 1/2 in n 1.860 * [backup-simplify]: Simplify 1/2 into 1/2 1.861 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.864 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.864 * [taylor]: Taking taylor expansion of M in m 1.864 * [backup-simplify]: Simplify M into M 1.864 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.866 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.866 * [taylor]: Taking taylor expansion of 1/2 in n 1.866 * [backup-simplify]: Simplify 1/2 into 1/2 1.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.867 * [taylor]: Taking taylor expansion of 1/2 in M 1.867 * [backup-simplify]: Simplify 1/2 into 1/2 1.867 * [taylor]: Taking taylor expansion of 1/2 in M 1.867 * [backup-simplify]: Simplify 1/2 into 1/2 1.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.868 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [taylor]: Taking taylor expansion of 0 in m 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.872 * [taylor]: Taking taylor expansion of M in n 1.872 * [backup-simplify]: Simplify M into M 1.872 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [taylor]: Taking taylor expansion of 0 in n 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.877 * [taylor]: Taking taylor expansion of 0 in M 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [taylor]: Taking taylor expansion of 0 in M 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 1/2 into 1/2 1.878 * [backup-simplify]: Simplify 1/2 into 1/2 1.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 1.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in m 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [taylor]: Taking taylor expansion of 0 in n 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in n 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [taylor]: Taking taylor expansion of 0 in n 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.888 * [taylor]: Taking taylor expansion of M in M 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify 1 into 1 1.890 * [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) 1.890 * * * [progress]: simplifying candidates 1.890 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 1.890 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 1.890 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 1.890 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 11 / 84 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 1.891 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 16 / 84 ] simplifiying candidate # 1.891 * * * * [progress]: [ 17 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 1.892 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 33 / 84 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 1.893 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 35 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 1.893 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 48 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 53 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 56 / 84 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 1.894 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 1.894 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 71 / 84 ] simplifiying candidate # 1.895 * * * * [progress]: [ 72 / 84 ] simplifiying candidate #real (real->posit16 (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 1.896 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 1.896 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 1.898 * [simplify]: Simplifying: (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) (* (cos (/ (* K (+ m n)) 2)) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin M)) (log (cos (- (/ (* K (+ m n)) 2) M))) (exp (cos (- (/ (* K (+ m n)) 2) M))) (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) (sqrt (cos (- (/ (* K (+ m n)) 2) M))) (sqrt (cos (- (/ (* K (+ m n)) 2) M))) (real->posit16 (cos (- (/ (* K (+ m n)) 2) M))) (* (log (- (/ (+ m n) 2) M)) 2) (* (log (- (/ (+ m n) 2) M)) 2) (* 1 2) (pow (- (/ (+ m n) 2) M) (* (cbrt 2) (cbrt 2))) (pow (- (/ (+ m n) 2) M) (sqrt 2)) (pow (- (/ (+ m n) 2) M) 1) (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow 1 2) (pow (- (/ (+ m n) 2) M) 2) (pow (+ (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (- (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow 1 2) (pow (- (/ (+ m n) 2) M) 2) (log (pow (- (/ (+ m n) 2) M) 2)) (exp (pow (- (/ (+ m n) 2) M) 2)) (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)) (real->posit16 (pow (- (/ (+ m n) 2) M) 2)) (* K (+ m n)) (+ (log K) (log (+ m n))) (log (* K (+ m n))) (exp (* K (+ m n))) (* (* (* K K) K) (* (* (+ m n) (+ m n)) (+ m n))) (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (sqrt (* K (+ m n))) (sqrt (* K (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* K m) (* K n) (* m K) (* n K) (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* K (sqrt (+ m n))) (* K 1) (* K 1) (* (cbrt K) (+ m n)) (* (sqrt K) (+ m n)) (* K (+ m n)) (* K (+ (pow m 3) (pow n 3))) (* K (- (* m m) (* n n))) (real->posit16 (* K (+ m n))) (/ (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) (+ (sqrt (/ (* K (+ m n)) 2)) (sqrt M)) (- (sqrt (/ (* K (+ m n)) 2)) (sqrt M)) (- (/ (* K (+ m n)) 2) M) (- M) (real->posit16 (- (/ (* K (+ m n)) 2) M)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) (+ (* m K) (* K n)) (+ (* m K) (* K n)) (+ (* m K) (* K n)) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 1.900 * * [simplify]: iteration 0: 155 enodes 1.980 * * [simplify]: iteration 1: 408 enodes 2.153 * * [simplify]: iteration 2: 1161 enodes 2.425 * * [simplify]: iteration 3: 2015 enodes 2.886 * * [simplify]: iteration complete: 2015 enodes 2.886 * * [simplify]: Extracting #0: cost 69 inf + 0 2.886 * * [simplify]: Extracting #1: cost 262 inf + 3 2.888 * * [simplify]: Extracting #2: cost 532 inf + 2277 2.894 * * [simplify]: Extracting #3: cost 436 inf + 38084 2.914 * * [simplify]: Extracting #4: cost 223 inf + 95508 2.954 * * [simplify]: Extracting #5: cost 57 inf + 131881 2.996 * * [simplify]: Extracting #6: cost 8 inf + 145722 3.041 * * [simplify]: Extracting #7: cost 0 inf + 147950 3.084 * [simplify]: Simplified to: (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (- M)) (sin (/ (* (+ m n) K) 2))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (- M)) (sin (/ (* (+ m n) K) 2))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 2 (pow (- (/ (+ m n) 2) M) (* (cbrt 2) (cbrt 2))) (pow (- (/ (+ m n) 2) M) (sqrt 2)) (- (/ (+ m n) 2) M) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt M) (sqrt (/ (+ m n) 2))) (+ (sqrt M) (sqrt (/ (+ m n) 2)))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (fabs (- (/ (+ m n) 2) M)) (fabs (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (+ m n) K) (log (* (+ m n) K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* m K) (* K n) (* m K) (* K n) (* (* K (cbrt (+ m n))) (cbrt (+ m n))) (* K (sqrt (+ m n))) K K (* (+ m n) (cbrt K)) (* (+ m n) (sqrt K)) (* (+ m n) K) (* (+ (* n (* n n)) (* (* m m) m)) K) (* K (* (- m n) (+ m n))) (real->posit16 (* (+ m n) K)) (exp (- (/ (* (+ m n) K) 2) M)) (log (- (/ (* (+ m n) K) 2) M)) (exp (- (/ (* (+ m n) K) 2) M)) (* (cbrt (- (/ (* (+ m n) K) 2) M)) (cbrt (- (/ (* (+ m n) K) 2) M))) (cbrt (- (/ (* (+ m n) K) 2) M)) (* (- (/ (* (+ m n) K) 2) M) (* (- (/ (* (+ m n) K) 2) M) (- (/ (* (+ m n) K) 2) M))) (sqrt (- (/ (* (+ m n) K) 2) M)) (sqrt (- (/ (* (+ m n) K) 2) M)) (- (* (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (/ (* (+ m n) K) 2)) (* (* M M) M)) (+ (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (* M (+ M (/ (* (+ m n) K) 2)))) (- M) (* (+ M (/ (* (+ m n) K) 2)) (- (/ (* (+ m n) K) 2) M)) (+ M (/ (* (+ m n) K) 2)) (+ (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (/ (* (+ m n) K) 2) M) (- M) (real->posit16 (- (/ (* (+ m n) K) 2) M)) 1 (cos (- (* (+ (* K n) (* m K)) 1/2) M)) (cos (- (* (+ (* K n) (* m K)) 1/2) M)) (+ (/ (* n m) 2) (* (+ (* m m) (* n n)) 1/4)) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) (+ (* K n) (* m K)) (+ (* K n) (* m K)) (+ (* K n) (* m K)) (- (* (+ (* K n) (* m K)) 1/2) M) (- (* (+ (* K n) (* m K)) 1/2) M) (- (* (+ (* K n) (* m K)) 1/2) M) 3.102 * * * [progress]: adding candidates to table 3.936 * * [progress]: iteration 2 / 4 3.936 * * * [progress]: picking best candidate 3.967 * * * * [pick]: Picked # 3.967 * * * [progress]: localizing error 4.002 * * * [progress]: generating rewritten candidates 4.002 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1 1) 4.073 * * * [progress]: generating series expansions 4.073 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1 1) 4.074 * [backup-simplify]: Simplify (pow (- (/ (+ m n) 2) M) 2) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 4.074 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 4.074 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 4.074 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 4.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 4.074 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 4.074 * [taylor]: Taking taylor expansion of 1/2 in M 4.074 * [backup-simplify]: Simplify 1/2 into 1/2 4.074 * [taylor]: Taking taylor expansion of m in M 4.074 * [backup-simplify]: Simplify m into m 4.074 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 4.074 * [taylor]: Taking taylor expansion of 1/2 in M 4.074 * [backup-simplify]: Simplify 1/2 into 1/2 4.074 * [taylor]: Taking taylor expansion of n in M 4.074 * [backup-simplify]: Simplify n into n 4.074 * [taylor]: Taking taylor expansion of M in M 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 4.074 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 4.074 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 4.075 * [backup-simplify]: Simplify (- 0) into 0 4.075 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 4.075 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 4.075 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 4.075 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 4.075 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 4.075 * [taylor]: Taking taylor expansion of 1/2 in n 4.075 * [backup-simplify]: Simplify 1/2 into 1/2 4.075 * [taylor]: Taking taylor expansion of m in n 4.075 * [backup-simplify]: Simplify m into m 4.075 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 4.075 * [taylor]: Taking taylor expansion of 1/2 in n 4.075 * [backup-simplify]: Simplify 1/2 into 1/2 4.075 * [taylor]: Taking taylor expansion of n in n 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [taylor]: Taking taylor expansion of M in n 4.075 * [backup-simplify]: Simplify M into M 4.075 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 4.075 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.075 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 4.075 * [backup-simplify]: Simplify (- M) into (- M) 4.075 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 4.075 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 4.075 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 4.075 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 4.075 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 4.075 * [taylor]: Taking taylor expansion of 1/2 in m 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of m in m 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 4.076 * [taylor]: Taking taylor expansion of 1/2 in m 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of n in m 4.076 * [backup-simplify]: Simplify n into n 4.076 * [taylor]: Taking taylor expansion of M in m 4.076 * [backup-simplify]: Simplify M into M 4.076 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.076 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 4.076 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 4.076 * [backup-simplify]: Simplify (- M) into (- M) 4.076 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 4.076 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 4.076 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 4.076 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 4.076 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 4.076 * [taylor]: Taking taylor expansion of 1/2 in m 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of m in m 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 4.076 * [taylor]: Taking taylor expansion of 1/2 in m 4.076 * [backup-simplify]: Simplify 1/2 into 1/2 4.076 * [taylor]: Taking taylor expansion of n in m 4.076 * [backup-simplify]: Simplify n into n 4.076 * [taylor]: Taking taylor expansion of M in m 4.076 * [backup-simplify]: Simplify M into M 4.077 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.077 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 4.077 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 4.077 * [backup-simplify]: Simplify (- M) into (- M) 4.077 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 4.077 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 4.077 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 4.077 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 4.077 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 4.077 * [taylor]: Taking taylor expansion of 1/2 in n 4.077 * [backup-simplify]: Simplify 1/2 into 1/2 4.077 * [taylor]: Taking taylor expansion of n in n 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [taylor]: Taking taylor expansion of M in n 4.077 * [backup-simplify]: Simplify M into M 4.077 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.078 * [backup-simplify]: Simplify (- M) into (- M) 4.078 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.078 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 4.078 * [taylor]: Taking taylor expansion of (pow M 2) in M 4.078 * [taylor]: Taking taylor expansion of M in M 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 4.079 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.079 * [backup-simplify]: Simplify (- 0) into 0 4.079 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.079 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 4.079 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 4.079 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 4.079 * [taylor]: Taking taylor expansion of 1/2 in n 4.079 * [backup-simplify]: Simplify 1/2 into 1/2 4.079 * [taylor]: Taking taylor expansion of n in n 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of M in n 4.080 * [backup-simplify]: Simplify M into M 4.080 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.080 * [backup-simplify]: Simplify (- M) into (- M) 4.080 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.080 * [taylor]: Taking taylor expansion of (- M) in M 4.080 * [taylor]: Taking taylor expansion of M in M 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (- 0) into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.081 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.081 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 4.081 * [taylor]: Taking taylor expansion of (- M) in M 4.081 * [taylor]: Taking taylor expansion of M in M 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (- 0) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 4.084 * [taylor]: Taking taylor expansion of 1/4 in n 4.084 * [backup-simplify]: Simplify 1/4 into 1/4 4.084 * [taylor]: Taking taylor expansion of 1/4 in M 4.084 * [backup-simplify]: Simplify 1/4 into 1/4 4.084 * [backup-simplify]: Simplify 1/4 into 1/4 4.085 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.085 * [backup-simplify]: Simplify (- 0) into 0 4.085 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.085 * [taylor]: Taking taylor expansion of 1/2 in M 4.085 * [backup-simplify]: Simplify 1/2 into 1/2 4.085 * [backup-simplify]: Simplify 1/2 into 1/2 4.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.086 * [backup-simplify]: Simplify (- 0) into 0 4.086 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 4.087 * [taylor]: Taking taylor expansion of 1/4 in M 4.087 * [backup-simplify]: Simplify 1/4 into 1/4 4.087 * [backup-simplify]: Simplify 1/4 into 1/4 4.087 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 4.087 * [backup-simplify]: Simplify (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 4.087 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 4.087 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 4.087 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 4.087 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 4.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 4.087 * [taylor]: Taking taylor expansion of 1/2 in M 4.087 * [backup-simplify]: Simplify 1/2 into 1/2 4.087 * [taylor]: Taking taylor expansion of (/ 1 m) in M 4.087 * [taylor]: Taking taylor expansion of m in M 4.087 * [backup-simplify]: Simplify m into m 4.087 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 4.087 * [taylor]: Taking taylor expansion of 1/2 in M 4.087 * [backup-simplify]: Simplify 1/2 into 1/2 4.087 * [taylor]: Taking taylor expansion of (/ 1 n) in M 4.087 * [taylor]: Taking taylor expansion of n in M 4.087 * [backup-simplify]: Simplify n into n 4.087 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.087 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.087 * [taylor]: Taking taylor expansion of M in M 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (/ 1 1) into 1 4.088 * [backup-simplify]: Simplify (- 1) into -1 4.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.088 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 4.088 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 4.088 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 4.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 4.088 * [taylor]: Taking taylor expansion of 1/2 in n 4.088 * [backup-simplify]: Simplify 1/2 into 1/2 4.088 * [taylor]: Taking taylor expansion of (/ 1 m) in n 4.088 * [taylor]: Taking taylor expansion of m in n 4.088 * [backup-simplify]: Simplify m into m 4.088 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.088 * [taylor]: Taking taylor expansion of 1/2 in n 4.088 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.089 * [taylor]: Taking taylor expansion of n in n 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (/ 1 1) into 1 4.089 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.089 * [taylor]: Taking taylor expansion of M in n 4.089 * [backup-simplify]: Simplify M into M 4.089 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.089 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.090 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.090 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 4.090 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 4.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.090 * [taylor]: Taking taylor expansion of 1/2 in m 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.090 * [taylor]: Taking taylor expansion of m in m 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.090 * [taylor]: Taking taylor expansion of 1/2 in m 4.090 * [backup-simplify]: Simplify 1/2 into 1/2 4.090 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.090 * [taylor]: Taking taylor expansion of n in m 4.090 * [backup-simplify]: Simplify n into n 4.090 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.090 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.090 * [taylor]: Taking taylor expansion of M in m 4.090 * [backup-simplify]: Simplify M into M 4.090 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.091 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.091 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.091 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.091 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 4.091 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 4.091 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.091 * [taylor]: Taking taylor expansion of 1/2 in m 4.091 * [backup-simplify]: Simplify 1/2 into 1/2 4.091 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.091 * [taylor]: Taking taylor expansion of m in m 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.092 * [taylor]: Taking taylor expansion of 1/2 in m 4.092 * [backup-simplify]: Simplify 1/2 into 1/2 4.092 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.092 * [taylor]: Taking taylor expansion of n in m 4.092 * [backup-simplify]: Simplify n into n 4.092 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.092 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.092 * [taylor]: Taking taylor expansion of M in m 4.092 * [backup-simplify]: Simplify M into M 4.092 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.092 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.092 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.093 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.093 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.093 * [taylor]: Taking taylor expansion of 1/4 in n 4.093 * [backup-simplify]: Simplify 1/4 into 1/4 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.094 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.094 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 4.094 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.094 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 4.094 * [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)) 4.094 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 4.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.095 * [taylor]: Taking taylor expansion of 1/2 in n 4.095 * [backup-simplify]: Simplify 1/2 into 1/2 4.095 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.095 * [taylor]: Taking taylor expansion of n in n 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (/ 1 1) into 1 4.095 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.095 * [taylor]: Taking taylor expansion of M in n 4.095 * [backup-simplify]: Simplify M into M 4.095 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.097 * [backup-simplify]: Simplify (- 0) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [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))) 4.098 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 4.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 4.098 * [taylor]: Taking taylor expansion of (pow M 2) in n 4.098 * [taylor]: Taking taylor expansion of M in n 4.098 * [backup-simplify]: Simplify M into M 4.098 * [backup-simplify]: Simplify (* M M) into (pow M 2) 4.098 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 4.098 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 4.098 * [taylor]: Taking taylor expansion of 1/4 in n 4.098 * [backup-simplify]: Simplify 1/4 into 1/4 4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.098 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.098 * [taylor]: Taking taylor expansion of n in n 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (/ 1 1) into 1 4.099 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 4.099 * [taylor]: Taking taylor expansion of (* M n) in n 4.099 * [taylor]: Taking taylor expansion of M in n 4.099 * [backup-simplify]: Simplify M into M 4.099 * [taylor]: Taking taylor expansion of n in n 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* M 0) into 0 4.099 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 4.099 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.100 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 4.100 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.100 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 4.100 * [taylor]: Taking taylor expansion of 1/4 in M 4.100 * [backup-simplify]: Simplify 1/4 into 1/4 4.101 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.101 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.101 * [taylor]: Taking taylor expansion of 1/2 in M 4.101 * [backup-simplify]: Simplify 1/2 into 1/2 4.101 * [taylor]: Taking taylor expansion of 1/4 in M 4.101 * [backup-simplify]: Simplify 1/4 into 1/4 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [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 4.105 * [taylor]: Taking taylor expansion of 0 in n 4.105 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.108 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.108 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.108 * [taylor]: Taking taylor expansion of M in M 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.111 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.111 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.111 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.111 * [taylor]: Taking taylor expansion of M in M 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [taylor]: Taking taylor expansion of 0 in M 4.111 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [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 4.118 * [taylor]: Taking taylor expansion of 0 in n 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 4.122 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.122 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 4.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.123 * [backup-simplify]: Simplify (- 0) into 0 4.123 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.123 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 4.123 * [taylor]: Taking taylor expansion of (pow M 2) in M 4.123 * [taylor]: Taking taylor expansion of M in M 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (* 1 1) into 1 4.124 * [backup-simplify]: Simplify (/ 1 1) into 1 4.124 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.126 * [backup-simplify]: Simplify (- 0) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [taylor]: Taking taylor expansion of 0 in M 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [taylor]: Taking taylor expansion of 0 in M 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (- 1) into -1 4.127 * [backup-simplify]: Simplify -1 into -1 4.128 * [backup-simplify]: Simplify (- 1) into -1 4.128 * [backup-simplify]: Simplify -1 into -1 4.129 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 4.129 * [backup-simplify]: Simplify (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 4.129 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 4.129 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 4.129 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 4.129 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.129 * [taylor]: Taking taylor expansion of M in M 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 4.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 4.130 * [taylor]: Taking taylor expansion of 1/2 in M 4.130 * [backup-simplify]: Simplify 1/2 into 1/2 4.130 * [taylor]: Taking taylor expansion of (/ 1 m) in M 4.130 * [taylor]: Taking taylor expansion of m in M 4.130 * [backup-simplify]: Simplify m into m 4.130 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 4.130 * [taylor]: Taking taylor expansion of 1/2 in M 4.130 * [backup-simplify]: Simplify 1/2 into 1/2 4.130 * [taylor]: Taking taylor expansion of (/ 1 n) in M 4.130 * [taylor]: Taking taylor expansion of n in M 4.130 * [backup-simplify]: Simplify n into n 4.130 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.131 * [backup-simplify]: Simplify (+ 1 0) into 1 4.131 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 4.131 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 4.131 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.131 * [taylor]: Taking taylor expansion of M in n 4.131 * [backup-simplify]: Simplify M into M 4.131 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.131 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 4.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 4.131 * [taylor]: Taking taylor expansion of 1/2 in n 4.131 * [backup-simplify]: Simplify 1/2 into 1/2 4.131 * [taylor]: Taking taylor expansion of (/ 1 m) in n 4.131 * [taylor]: Taking taylor expansion of m in n 4.131 * [backup-simplify]: Simplify m into m 4.131 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.131 * [taylor]: Taking taylor expansion of 1/2 in n 4.131 * [backup-simplify]: Simplify 1/2 into 1/2 4.131 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (/ 1 1) into 1 4.132 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.133 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.133 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.134 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.134 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 4.134 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 4.134 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.134 * [taylor]: Taking taylor expansion of M in m 4.134 * [backup-simplify]: Simplify M into M 4.134 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.134 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.134 * [taylor]: Taking taylor expansion of 1/2 in m 4.134 * [backup-simplify]: Simplify 1/2 into 1/2 4.134 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.134 * [taylor]: Taking taylor expansion of m in m 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.135 * [taylor]: Taking taylor expansion of 1/2 in m 4.135 * [backup-simplify]: Simplify 1/2 into 1/2 4.135 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.135 * [taylor]: Taking taylor expansion of n in m 4.135 * [backup-simplify]: Simplify n into n 4.135 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.136 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.136 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.137 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.137 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 4.137 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 4.137 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.137 * [taylor]: Taking taylor expansion of M in m 4.137 * [backup-simplify]: Simplify M into M 4.137 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.137 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.137 * [taylor]: Taking taylor expansion of 1/2 in m 4.137 * [backup-simplify]: Simplify 1/2 into 1/2 4.137 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.137 * [taylor]: Taking taylor expansion of m in m 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.138 * [taylor]: Taking taylor expansion of 1/2 in m 4.138 * [backup-simplify]: Simplify 1/2 into 1/2 4.138 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.138 * [taylor]: Taking taylor expansion of n in m 4.138 * [backup-simplify]: Simplify n into n 4.138 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.138 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.139 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.139 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.140 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.140 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 4.140 * [taylor]: Taking taylor expansion of 1/4 in n 4.140 * [backup-simplify]: Simplify 1/4 into 1/4 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.142 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.142 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 4.142 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 4.142 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 4.143 * [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)) 4.143 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 4.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.143 * [taylor]: Taking taylor expansion of 1/2 in n 4.143 * [backup-simplify]: Simplify 1/2 into 1/2 4.143 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.143 * [taylor]: Taking taylor expansion of n in n 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.143 * [taylor]: Taking taylor expansion of M in n 4.144 * [backup-simplify]: Simplify M into M 4.144 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 4.151 * [backup-simplify]: Simplify (+ 0 0) into 0 4.151 * [backup-simplify]: Simplify (- 0) into 0 4.151 * [backup-simplify]: Simplify (+ 0 0) into 0 4.153 * [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))) 4.153 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 4.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 4.153 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 4.153 * [taylor]: Taking taylor expansion of (pow M 2) in n 4.154 * [taylor]: Taking taylor expansion of M in n 4.154 * [backup-simplify]: Simplify M into M 4.154 * [backup-simplify]: Simplify (* M M) into (pow M 2) 4.154 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 4.154 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 4.154 * [taylor]: Taking taylor expansion of 1/4 in n 4.154 * [backup-simplify]: Simplify 1/4 into 1/4 4.154 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.154 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.154 * [taylor]: Taking taylor expansion of n in n 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (* 1 1) into 1 4.155 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 4.155 * [taylor]: Taking taylor expansion of (* M n) in n 4.155 * [taylor]: Taking taylor expansion of M in n 4.155 * [backup-simplify]: Simplify M into M 4.155 * [taylor]: Taking taylor expansion of n in n 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (* M 0) into 0 4.156 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 4.156 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.156 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 4.157 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.157 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 4.157 * [taylor]: Taking taylor expansion of 1/4 in M 4.157 * [backup-simplify]: Simplify 1/4 into 1/4 4.158 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.158 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.158 * [taylor]: Taking taylor expansion of 1/2 in M 4.158 * [backup-simplify]: Simplify 1/2 into 1/2 4.158 * [taylor]: Taking taylor expansion of 1/4 in M 4.158 * [backup-simplify]: Simplify 1/4 into 1/4 4.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 4.161 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (- 0) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.163 * [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 4.163 * [taylor]: Taking taylor expansion of 0 in n 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (+ 0 0) into 0 4.166 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.166 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.166 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.166 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.166 * [taylor]: Taking taylor expansion of M in M 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.168 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.168 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.168 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.168 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.168 * [taylor]: Taking taylor expansion of M in M 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (/ 1 1) into 1 4.169 * [taylor]: Taking taylor expansion of 0 in M 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 0) into 0 4.174 * [backup-simplify]: Simplify (- 0) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 4.175 * [taylor]: Taking taylor expansion of 0 in n 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 4.179 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.179 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.180 * [backup-simplify]: Simplify (- 0) into 0 4.180 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.180 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 4.180 * [taylor]: Taking taylor expansion of (pow M 2) in M 4.180 * [taylor]: Taking taylor expansion of M in M 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (* 1 1) into 1 4.181 * [backup-simplify]: Simplify (/ 1 1) into 1 4.181 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.184 * [backup-simplify]: Simplify (- 0) into 0 4.184 * [backup-simplify]: Simplify (+ 0 0) into 0 4.184 * [taylor]: Taking taylor expansion of 0 in M 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [taylor]: Taking taylor expansion of 0 in M 4.184 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (- 1) into -1 4.185 * [backup-simplify]: Simplify -1 into -1 4.185 * [backup-simplify]: Simplify (- 1) into -1 4.185 * [backup-simplify]: Simplify -1 into -1 4.186 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 4.186 * * * [progress]: simplifying candidates 4.186 * * * * [progress]: [ 1 / 25 ] simplifiying candidate # 4.186 * * * * [progress]: [ 2 / 25 ] simplifiying candidate # 4.186 * * * * [progress]: [ 3 / 25 ] simplifiying candidate # 4.186 * * * * [progress]: [ 4 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 5 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 6 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 7 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 8 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 9 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 10 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 11 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 12 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 13 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 14 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 15 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 16 / 25 ] simplifiying candidate # 4.187 * * * * [progress]: [ 17 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 18 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 19 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 20 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 21 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 22 / 25 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 4.188 * * * * [progress]: [ 23 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 24 / 25 ] simplifiying candidate # 4.188 * * * * [progress]: [ 25 / 25 ] simplifiying candidate # 4.189 * [simplify]: Simplifying: (* (log (- (/ (+ m n) 2) M)) 2) (* (log (- (/ (+ m n) 2) M)) 2) (* 1 2) (pow (- (/ (+ m n) 2) M) (* (cbrt 2) (cbrt 2))) (pow (- (/ (+ m n) 2) M) (sqrt 2)) (pow (- (/ (+ m n) 2) M) 1) (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow 1 2) (pow (- (/ (+ m n) 2) M) 2) (pow (+ (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (- (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow 1 2) (pow (- (/ (+ m n) 2) M) 2) (log (pow (- (/ (+ m n) 2) M) 2)) (exp (pow (- (/ (+ m n) 2) M) 2)) (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)) (real->posit16 (pow (- (/ (+ m n) 2) M) 2)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 4.190 * * [simplify]: iteration 0: 62 enodes 4.215 * * [simplify]: iteration 1: 180 enodes 4.279 * * [simplify]: iteration 2: 403 enodes 4.463 * * [simplify]: iteration 3: 1097 enodes 4.635 * * [simplify]: iteration 4: 2016 enodes 5.027 * * [simplify]: iteration complete: 2016 enodes 5.028 * * [simplify]: Extracting #0: cost 21 inf + 0 5.028 * * [simplify]: Extracting #1: cost 152 inf + 2 5.034 * * [simplify]: Extracting #2: cost 410 inf + 46 5.038 * * [simplify]: Extracting #3: cost 532 inf + 2666 5.047 * * [simplify]: Extracting #4: cost 475 inf + 31648 5.073 * * [simplify]: Extracting #5: cost 151 inf + 112513 5.114 * * [simplify]: Extracting #6: cost 7 inf + 175419 5.156 * * [simplify]: Extracting #7: cost 0 inf + 177413 5.199 * [simplify]: Simplified to: (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) 2 (pow (- (/ (+ n m) 2) M) (* (cbrt 2) (cbrt 2))) (pow (- (/ (+ n m) 2) M) (sqrt 2)) (- (/ (+ n m) 2) M) (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* (* 1/2 n) m) (* 1/4 (+ (* m m) (* n n)))) (- (* M M) (* (+ n m) M)) (- (* M M) (* (+ n m) M)) 5.202 * * * [progress]: adding candidates to table 5.394 * * [progress]: iteration 3 / 4 5.394 * * * [progress]: picking best candidate 5.436 * * * * [pick]: Picked #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> 5.436 * * * [progress]: localizing error 5.505 * * * [progress]: generating rewritten candidates 5.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1 1) 5.505 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1 1 1 1) 5.736 * * * [progress]: generating series expansions 5.737 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1 1) 5.737 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 5.737 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (n m M) around 0 5.737 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 5.737 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.737 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.737 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.737 * [taylor]: Taking taylor expansion of 1/2 in M 5.737 * [backup-simplify]: Simplify 1/2 into 1/2 5.737 * [taylor]: Taking taylor expansion of m in M 5.737 * [backup-simplify]: Simplify m into m 5.737 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.737 * [taylor]: Taking taylor expansion of 1/2 in M 5.737 * [backup-simplify]: Simplify 1/2 into 1/2 5.737 * [taylor]: Taking taylor expansion of n in M 5.737 * [backup-simplify]: Simplify n into n 5.737 * [taylor]: Taking taylor expansion of M in M 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 1 into 1 5.737 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.737 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.737 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 5.738 * [backup-simplify]: Simplify (- 0) into 0 5.738 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 5.738 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.738 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.738 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.738 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.738 * [taylor]: Taking taylor expansion of 1/2 in m 5.738 * [backup-simplify]: Simplify 1/2 into 1/2 5.738 * [taylor]: Taking taylor expansion of m in m 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 1 into 1 5.738 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.738 * [taylor]: Taking taylor expansion of 1/2 in m 5.738 * [backup-simplify]: Simplify 1/2 into 1/2 5.738 * [taylor]: Taking taylor expansion of n in m 5.738 * [backup-simplify]: Simplify n into n 5.738 * [taylor]: Taking taylor expansion of M in m 5.738 * [backup-simplify]: Simplify M into M 5.738 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.738 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.739 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.739 * [backup-simplify]: Simplify (- M) into (- M) 5.739 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.739 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.739 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.739 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.739 * [taylor]: Taking taylor expansion of 1/2 in n 5.739 * [backup-simplify]: Simplify 1/2 into 1/2 5.739 * [taylor]: Taking taylor expansion of m in n 5.739 * [backup-simplify]: Simplify m into m 5.739 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.739 * [taylor]: Taking taylor expansion of 1/2 in n 5.739 * [backup-simplify]: Simplify 1/2 into 1/2 5.739 * [taylor]: Taking taylor expansion of n in n 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 1 into 1 5.739 * [taylor]: Taking taylor expansion of M in n 5.739 * [backup-simplify]: Simplify M into M 5.739 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.739 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.739 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.739 * [backup-simplify]: Simplify (- M) into (- M) 5.739 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.739 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.739 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.739 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.739 * [taylor]: Taking taylor expansion of 1/2 in n 5.739 * [backup-simplify]: Simplify 1/2 into 1/2 5.739 * [taylor]: Taking taylor expansion of m in n 5.739 * [backup-simplify]: Simplify m into m 5.739 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.740 * [taylor]: Taking taylor expansion of 1/2 in n 5.740 * [backup-simplify]: Simplify 1/2 into 1/2 5.740 * [taylor]: Taking taylor expansion of n in n 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [taylor]: Taking taylor expansion of M in n 5.740 * [backup-simplify]: Simplify M into M 5.740 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.740 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.740 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.740 * [backup-simplify]: Simplify (- M) into (- M) 5.740 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.740 * [backup-simplify]: Simplify (* (- (* 1/2 m) M) (- (* 1/2 m) M)) into (pow (- (* 1/2 m) M) 2) 5.740 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 m) M) 2) in m 5.740 * [taylor]: Taking taylor expansion of (- (* 1/2 m) M) in m 5.740 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.740 * [taylor]: Taking taylor expansion of 1/2 in m 5.740 * [backup-simplify]: Simplify 1/2 into 1/2 5.740 * [taylor]: Taking taylor expansion of m in m 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [taylor]: Taking taylor expansion of M in m 5.740 * [backup-simplify]: Simplify M into M 5.741 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.741 * [backup-simplify]: Simplify (- M) into (- M) 5.741 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.741 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 5.741 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.741 * [taylor]: Taking taylor expansion of M in M 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 1 into 1 5.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 m)) into 0 5.742 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.742 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.742 * [backup-simplify]: Simplify (- 0) into 0 5.742 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.743 * [backup-simplify]: Simplify (+ (* (- (* 1/2 m) M) 1/2) (* 1/2 (- (* 1/2 m) M))) into (- (* 1/2 m) M) 5.743 * [taylor]: Taking taylor expansion of (- (* 1/2 m) M) in m 5.743 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.743 * [taylor]: Taking taylor expansion of 1/2 in m 5.743 * [backup-simplify]: Simplify 1/2 into 1/2 5.743 * [taylor]: Taking taylor expansion of m in m 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [taylor]: Taking taylor expansion of M in m 5.743 * [backup-simplify]: Simplify M into M 5.743 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.743 * [backup-simplify]: Simplify (- M) into (- M) 5.743 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.743 * [taylor]: Taking taylor expansion of (- M) in M 5.743 * [taylor]: Taking taylor expansion of M in M 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (- 0) into 0 5.743 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.744 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.744 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 5.745 * [taylor]: Taking taylor expansion of (- M) in M 5.745 * [taylor]: Taking taylor expansion of M in M 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 m))) into 0 5.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.746 * [backup-simplify]: Simplify (- 0) into 0 5.747 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (+ (* (- (* 1/2 m) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 m) M)))) into 1/4 5.747 * [taylor]: Taking taylor expansion of 1/4 in m 5.747 * [backup-simplify]: Simplify 1/4 into 1/4 5.747 * [taylor]: Taking taylor expansion of 1/4 in M 5.747 * [backup-simplify]: Simplify 1/4 into 1/4 5.747 * [backup-simplify]: Simplify 1/4 into 1/4 5.748 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.748 * [backup-simplify]: Simplify (- 0) into 0 5.748 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.748 * [taylor]: Taking taylor expansion of 1/2 in M 5.748 * [backup-simplify]: Simplify 1/2 into 1/2 5.748 * [backup-simplify]: Simplify 1/2 into 1/2 5.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.749 * [backup-simplify]: Simplify (- 0) into 0 5.749 * [backup-simplify]: Simplify (+ 0 0) into 0 5.750 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 5.750 * [taylor]: Taking taylor expansion of 1/4 in M 5.750 * [backup-simplify]: Simplify 1/4 into 1/4 5.750 * [backup-simplify]: Simplify 1/4 into 1/4 5.750 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* m 1)) 2)) (+ (* 1/2 (* 1 (* m n))) (* 1/4 (pow (* 1 (* 1 n)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) 5.750 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 5.750 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (n m M) around 0 5.750 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 5.750 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.750 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.750 * [taylor]: Taking taylor expansion of 1/2 in M 5.750 * [backup-simplify]: Simplify 1/2 into 1/2 5.750 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.750 * [taylor]: Taking taylor expansion of m in M 5.750 * [backup-simplify]: Simplify m into m 5.751 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.751 * [taylor]: Taking taylor expansion of 1/2 in M 5.751 * [backup-simplify]: Simplify 1/2 into 1/2 5.751 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.751 * [taylor]: Taking taylor expansion of n in M 5.751 * [backup-simplify]: Simplify n into n 5.751 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.751 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.751 * [taylor]: Taking taylor expansion of M in M 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (/ 1 1) into 1 5.751 * [backup-simplify]: Simplify (- 1) into -1 5.752 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.752 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.752 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.752 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.752 * [taylor]: Taking taylor expansion of 1/2 in m 5.752 * [backup-simplify]: Simplify 1/2 into 1/2 5.752 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.752 * [taylor]: Taking taylor expansion of m in m 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 1 into 1 5.752 * [backup-simplify]: Simplify (/ 1 1) into 1 5.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.752 * [taylor]: Taking taylor expansion of 1/2 in m 5.752 * [backup-simplify]: Simplify 1/2 into 1/2 5.752 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.752 * [taylor]: Taking taylor expansion of n in m 5.752 * [backup-simplify]: Simplify n into n 5.752 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.752 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.752 * [taylor]: Taking taylor expansion of M in m 5.752 * [backup-simplify]: Simplify M into M 5.752 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.752 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.753 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.753 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.753 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.753 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.753 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.753 * [taylor]: Taking taylor expansion of 1/2 in n 5.753 * [backup-simplify]: Simplify 1/2 into 1/2 5.753 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.753 * [taylor]: Taking taylor expansion of m in n 5.753 * [backup-simplify]: Simplify m into m 5.753 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.753 * [taylor]: Taking taylor expansion of 1/2 in n 5.753 * [backup-simplify]: Simplify 1/2 into 1/2 5.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.753 * [taylor]: Taking taylor expansion of n in n 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (/ 1 1) into 1 5.754 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.754 * [taylor]: Taking taylor expansion of M in n 5.754 * [backup-simplify]: Simplify M into M 5.754 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.754 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.754 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.755 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.755 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.755 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.755 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.755 * [taylor]: Taking taylor expansion of 1/2 in n 5.755 * [backup-simplify]: Simplify 1/2 into 1/2 5.755 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.755 * [taylor]: Taking taylor expansion of m in n 5.755 * [backup-simplify]: Simplify m into m 5.755 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.755 * [taylor]: Taking taylor expansion of 1/2 in n 5.755 * [backup-simplify]: Simplify 1/2 into 1/2 5.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.755 * [taylor]: Taking taylor expansion of n in n 5.755 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (/ 1 1) into 1 5.755 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.755 * [taylor]: Taking taylor expansion of M in n 5.755 * [backup-simplify]: Simplify M into M 5.755 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.755 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.756 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.756 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.756 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.756 * [taylor]: Taking taylor expansion of 1/4 in m 5.756 * [backup-simplify]: Simplify 1/4 into 1/4 5.756 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 5.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.757 * [backup-simplify]: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) 5.757 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.758 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 m)) (/ 1 M)) 5.758 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 m)) (/ 1 M)) 5.758 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 m)) (/ 1 M)) in m 5.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.758 * [taylor]: Taking taylor expansion of 1/2 in m 5.758 * [backup-simplify]: Simplify 1/2 into 1/2 5.758 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.758 * [taylor]: Taking taylor expansion of m in m 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify (/ 1 1) into 1 5.758 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.758 * [taylor]: Taking taylor expansion of M in m 5.758 * [backup-simplify]: Simplify M into M 5.758 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 5.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.762 * [backup-simplify]: Simplify (+ 0 0) into 0 5.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.762 * [backup-simplify]: Simplify (- 0) into 0 5.762 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) 5.763 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) in m 5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) in m 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 5.763 * [taylor]: Taking taylor expansion of (pow M 2) in m 5.763 * [taylor]: Taking taylor expansion of M in m 5.763 * [backup-simplify]: Simplify M into M 5.763 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.763 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.763 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 5.763 * [taylor]: Taking taylor expansion of 1/4 in m 5.763 * [backup-simplify]: Simplify 1/4 into 1/4 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 5.763 * [taylor]: Taking taylor expansion of (pow m 2) in m 5.763 * [taylor]: Taking taylor expansion of m in m 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (* 1 1) into 1 5.764 * [backup-simplify]: Simplify (/ 1 1) into 1 5.764 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 5.764 * [taylor]: Taking taylor expansion of (* m M) in m 5.764 * [taylor]: Taking taylor expansion of m in m 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 1 into 1 5.764 * [taylor]: Taking taylor expansion of M in m 5.764 * [backup-simplify]: Simplify M into M 5.764 * [backup-simplify]: Simplify (* 0 M) into 0 5.764 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 5.764 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.765 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.765 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.766 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.766 * [taylor]: Taking taylor expansion of 1/4 in M 5.766 * [backup-simplify]: Simplify 1/4 into 1/4 5.766 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.767 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.767 * [taylor]: Taking taylor expansion of 1/2 in M 5.767 * [backup-simplify]: Simplify 1/2 into 1/2 5.767 * [taylor]: Taking taylor expansion of 1/4 in M 5.767 * [backup-simplify]: Simplify 1/4 into 1/4 5.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.771 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.771 * [backup-simplify]: Simplify (- 0) into 0 5.772 * [backup-simplify]: Simplify (+ 0 0) into 0 5.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2)))) into 0 5.773 * [taylor]: Taking taylor expansion of 0 in m 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.775 * [backup-simplify]: Simplify (+ 0 0) into 0 5.776 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.776 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.776 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.776 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.776 * [taylor]: Taking taylor expansion of M in M 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 1 into 1 5.776 * [backup-simplify]: Simplify (/ 1 1) into 1 5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.778 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.778 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.778 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.778 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.778 * [taylor]: Taking taylor expansion of M in M 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (/ 1 1) into 1 5.779 * [taylor]: Taking taylor expansion of 0 in M 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 5.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.783 * [backup-simplify]: Simplify (+ 0 0) into 0 5.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.783 * [backup-simplify]: Simplify (- 0) into 0 5.784 * [backup-simplify]: Simplify (+ 0 0) into 0 5.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2))))) into 0 5.785 * [taylor]: Taking taylor expansion of 0 in m 5.785 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.789 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.789 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 5.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.790 * [backup-simplify]: Simplify (- 0) into 0 5.791 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.791 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.791 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.791 * [taylor]: Taking taylor expansion of M in M 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (* 1 1) into 1 5.792 * [backup-simplify]: Simplify (/ 1 1) into 1 5.792 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.794 * [backup-simplify]: Simplify (- 0) into 0 5.795 * [backup-simplify]: Simplify (+ 0 0) into 0 5.795 * [taylor]: Taking taylor expansion of 0 in M 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [taylor]: Taking taylor expansion of 0 in M 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (- 1) into -1 5.795 * [backup-simplify]: Simplify -1 into -1 5.796 * [backup-simplify]: Simplify (- 1) into -1 5.796 * [backup-simplify]: Simplify -1 into -1 5.797 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 n))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 m)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.797 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 5.797 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (n m M) around 0 5.797 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 5.797 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.797 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.797 * [taylor]: Taking taylor expansion of M in M 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (/ 1 1) into 1 5.798 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.798 * [taylor]: Taking taylor expansion of 1/2 in M 5.798 * [backup-simplify]: Simplify 1/2 into 1/2 5.798 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.798 * [taylor]: Taking taylor expansion of m in M 5.798 * [backup-simplify]: Simplify m into m 5.798 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.798 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.798 * [taylor]: Taking taylor expansion of 1/2 in M 5.798 * [backup-simplify]: Simplify 1/2 into 1/2 5.798 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.798 * [taylor]: Taking taylor expansion of n in M 5.798 * [backup-simplify]: Simplify n into n 5.798 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.799 * [backup-simplify]: Simplify (+ 1 0) into 1 5.799 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 5.799 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.799 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.799 * [taylor]: Taking taylor expansion of M in m 5.799 * [backup-simplify]: Simplify M into M 5.799 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.799 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.799 * [taylor]: Taking taylor expansion of 1/2 in m 5.799 * [backup-simplify]: Simplify 1/2 into 1/2 5.799 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.799 * [taylor]: Taking taylor expansion of m in m 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.800 * [backup-simplify]: Simplify (/ 1 1) into 1 5.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.800 * [taylor]: Taking taylor expansion of 1/2 in m 5.800 * [backup-simplify]: Simplify 1/2 into 1/2 5.800 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.800 * [taylor]: Taking taylor expansion of n in m 5.800 * [backup-simplify]: Simplify n into n 5.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.800 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.801 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.802 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.802 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.802 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.802 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.802 * [taylor]: Taking taylor expansion of M in n 5.802 * [backup-simplify]: Simplify M into M 5.802 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.802 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.802 * [taylor]: Taking taylor expansion of 1/2 in n 5.802 * [backup-simplify]: Simplify 1/2 into 1/2 5.802 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.802 * [taylor]: Taking taylor expansion of m in n 5.802 * [backup-simplify]: Simplify m into m 5.802 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.802 * [taylor]: Taking taylor expansion of 1/2 in n 5.802 * [backup-simplify]: Simplify 1/2 into 1/2 5.802 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.802 * [taylor]: Taking taylor expansion of n in n 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (/ 1 1) into 1 5.803 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.804 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.804 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.805 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.805 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.805 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.805 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.805 * [taylor]: Taking taylor expansion of M in n 5.805 * [backup-simplify]: Simplify M into M 5.805 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.805 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.805 * [taylor]: Taking taylor expansion of 1/2 in n 5.805 * [backup-simplify]: Simplify 1/2 into 1/2 5.805 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.805 * [taylor]: Taking taylor expansion of m in n 5.805 * [backup-simplify]: Simplify m into m 5.805 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.805 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.805 * [taylor]: Taking taylor expansion of 1/2 in n 5.805 * [backup-simplify]: Simplify 1/2 into 1/2 5.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.805 * [taylor]: Taking taylor expansion of n in n 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify 1 into 1 5.806 * [backup-simplify]: Simplify (/ 1 1) into 1 5.806 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.807 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.807 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.807 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.808 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 5.808 * [taylor]: Taking taylor expansion of 1/4 in m 5.808 * [backup-simplify]: Simplify 1/4 into 1/4 5.808 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 5.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.810 * [backup-simplify]: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) 5.810 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 m))) into (- (* 1/2 (/ 1 m))) 5.810 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 m)))) into (- (/ 1 M) (* 1/2 (/ 1 m))) 5.811 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* (- (/ 1 M) (* 1/2 (/ 1 m))) -1/2)) into (- (* 1/2 (/ 1 m)) (/ 1 M)) 5.811 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 m)) (/ 1 M)) in m 5.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.811 * [taylor]: Taking taylor expansion of 1/2 in m 5.811 * [backup-simplify]: Simplify 1/2 into 1/2 5.811 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.811 * [taylor]: Taking taylor expansion of m in m 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 1 into 1 5.811 * [backup-simplify]: Simplify (/ 1 1) into 1 5.811 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.811 * [taylor]: Taking taylor expansion of M in m 5.811 * [backup-simplify]: Simplify M into M 5.811 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 5.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.815 * [backup-simplify]: Simplify (- 0) into 0 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.817 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) 5.817 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) in m 5.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) in m 5.817 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 5.817 * [taylor]: Taking taylor expansion of (pow M 2) in m 5.817 * [taylor]: Taking taylor expansion of M in m 5.817 * [backup-simplify]: Simplify M into M 5.817 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.817 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.817 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 5.817 * [taylor]: Taking taylor expansion of 1/4 in m 5.817 * [backup-simplify]: Simplify 1/4 into 1/4 5.817 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 5.817 * [taylor]: Taking taylor expansion of (pow m 2) in m 5.817 * [taylor]: Taking taylor expansion of m in m 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (* 1 1) into 1 5.818 * [backup-simplify]: Simplify (/ 1 1) into 1 5.819 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 5.819 * [taylor]: Taking taylor expansion of (* m M) in m 5.819 * [taylor]: Taking taylor expansion of m in m 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [taylor]: Taking taylor expansion of M in m 5.819 * [backup-simplify]: Simplify M into M 5.819 * [backup-simplify]: Simplify (* 0 M) into 0 5.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 5.819 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.820 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.820 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.821 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.821 * [taylor]: Taking taylor expansion of 1/4 in M 5.821 * [backup-simplify]: Simplify 1/4 into 1/4 5.821 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.822 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.822 * [taylor]: Taking taylor expansion of 1/2 in M 5.822 * [backup-simplify]: Simplify 1/2 into 1/2 5.822 * [taylor]: Taking taylor expansion of 1/4 in M 5.822 * [backup-simplify]: Simplify 1/4 into 1/4 5.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 5.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.826 * [backup-simplify]: Simplify (+ 0 0) into 0 5.826 * [backup-simplify]: Simplify (- 0) into 0 5.827 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2)))) into 0 5.828 * [taylor]: Taking taylor expansion of 0 in m 5.828 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.831 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.831 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.831 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.831 * [taylor]: Taking taylor expansion of M in M 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (/ 1 1) into 1 5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.833 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.833 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.833 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.833 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.833 * [taylor]: Taking taylor expansion of M in M 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.834 * [backup-simplify]: Simplify (/ 1 1) into 1 5.834 * [taylor]: Taking taylor expansion of 0 in M 5.834 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (- 0) into 0 5.840 * [backup-simplify]: Simplify (+ 0 0) into 0 5.842 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2))))) into 0 5.842 * [taylor]: Taking taylor expansion of 0 in m 5.842 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.845 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 5.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.846 * [backup-simplify]: Simplify (- 0) into 0 5.847 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.847 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.847 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.847 * [taylor]: Taking taylor expansion of M in M 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 1 into 1 5.847 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (/ 1 1) into 1 5.848 * [backup-simplify]: Simplify 1 into 1 5.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.850 * [backup-simplify]: Simplify (- 0) into 0 5.851 * [backup-simplify]: Simplify (+ 0 0) into 0 5.851 * [taylor]: Taking taylor expansion of 0 in M 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [taylor]: Taking taylor expansion of 0 in M 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify (- 1) into -1 5.851 * [backup-simplify]: Simplify -1 into -1 5.852 * [backup-simplify]: Simplify (- 1) into -1 5.852 * [backup-simplify]: Simplify -1 into -1 5.853 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- n)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- m))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.853 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1 1 1 1) 5.853 * [backup-simplify]: Simplify (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 5.853 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (n m M) around 0 5.853 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 5.853 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.853 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.854 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.854 * [taylor]: Taking taylor expansion of 1/2 in M 5.854 * [backup-simplify]: Simplify 1/2 into 1/2 5.854 * [taylor]: Taking taylor expansion of m in M 5.854 * [backup-simplify]: Simplify m into m 5.854 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.854 * [taylor]: Taking taylor expansion of 1/2 in M 5.854 * [backup-simplify]: Simplify 1/2 into 1/2 5.854 * [taylor]: Taking taylor expansion of n in M 5.854 * [backup-simplify]: Simplify n into n 5.854 * [taylor]: Taking taylor expansion of M in M 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.854 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.854 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 5.854 * [backup-simplify]: Simplify (- 0) into 0 5.855 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 5.855 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.855 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.855 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.855 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.855 * [taylor]: Taking taylor expansion of 1/2 in m 5.855 * [backup-simplify]: Simplify 1/2 into 1/2 5.855 * [taylor]: Taking taylor expansion of m in m 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.855 * [taylor]: Taking taylor expansion of 1/2 in m 5.855 * [backup-simplify]: Simplify 1/2 into 1/2 5.855 * [taylor]: Taking taylor expansion of n in m 5.855 * [backup-simplify]: Simplify n into n 5.855 * [taylor]: Taking taylor expansion of M in m 5.855 * [backup-simplify]: Simplify M into M 5.856 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.856 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.856 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.856 * [backup-simplify]: Simplify (- M) into (- M) 5.856 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.856 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.856 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.856 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.856 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.856 * [taylor]: Taking taylor expansion of 1/2 in n 5.856 * [backup-simplify]: Simplify 1/2 into 1/2 5.856 * [taylor]: Taking taylor expansion of m in n 5.856 * [backup-simplify]: Simplify m into m 5.856 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.856 * [taylor]: Taking taylor expansion of 1/2 in n 5.856 * [backup-simplify]: Simplify 1/2 into 1/2 5.856 * [taylor]: Taking taylor expansion of n in n 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [taylor]: Taking taylor expansion of M in n 5.856 * [backup-simplify]: Simplify M into M 5.856 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.857 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.857 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.857 * [backup-simplify]: Simplify (- M) into (- M) 5.857 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.857 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.857 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.857 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.857 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.857 * [taylor]: Taking taylor expansion of 1/2 in n 5.857 * [backup-simplify]: Simplify 1/2 into 1/2 5.857 * [taylor]: Taking taylor expansion of m in n 5.857 * [backup-simplify]: Simplify m into m 5.857 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.857 * [taylor]: Taking taylor expansion of 1/2 in n 5.857 * [backup-simplify]: Simplify 1/2 into 1/2 5.857 * [taylor]: Taking taylor expansion of n in n 5.857 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [taylor]: Taking taylor expansion of M in n 5.858 * [backup-simplify]: Simplify M into M 5.858 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.858 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.858 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.858 * [backup-simplify]: Simplify (- M) into (- M) 5.858 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.859 * [backup-simplify]: Simplify (* (- (* 1/2 m) M) (- (* 1/2 m) M)) into (pow (- (* 1/2 m) M) 2) 5.859 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 m) M) 2) in m 5.859 * [taylor]: Taking taylor expansion of (- (* 1/2 m) M) in m 5.859 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.859 * [taylor]: Taking taylor expansion of 1/2 in m 5.859 * [backup-simplify]: Simplify 1/2 into 1/2 5.859 * [taylor]: Taking taylor expansion of m in m 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [taylor]: Taking taylor expansion of M in m 5.859 * [backup-simplify]: Simplify M into M 5.859 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.859 * [backup-simplify]: Simplify (- M) into (- M) 5.860 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.860 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 5.860 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.860 * [taylor]: Taking taylor expansion of M in M 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 m)) into 0 5.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.862 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.862 * [backup-simplify]: Simplify (- 0) into 0 5.862 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.863 * [backup-simplify]: Simplify (+ (* (- (* 1/2 m) M) 1/2) (* 1/2 (- (* 1/2 m) M))) into (- (* 1/2 m) M) 5.863 * [taylor]: Taking taylor expansion of (- (* 1/2 m) M) in m 5.863 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.863 * [taylor]: Taking taylor expansion of 1/2 in m 5.863 * [backup-simplify]: Simplify 1/2 into 1/2 5.863 * [taylor]: Taking taylor expansion of m in m 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [taylor]: Taking taylor expansion of M in m 5.863 * [backup-simplify]: Simplify M into M 5.863 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.863 * [backup-simplify]: Simplify (- M) into (- M) 5.864 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.864 * [taylor]: Taking taylor expansion of (- M) in M 5.864 * [taylor]: Taking taylor expansion of M in M 5.864 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify 1 into 1 5.864 * [backup-simplify]: Simplify (- 0) into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.865 * [backup-simplify]: Simplify (- 0) into 0 5.866 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.866 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 5.866 * [taylor]: Taking taylor expansion of (- M) in M 5.866 * [taylor]: Taking taylor expansion of M in M 5.866 * [backup-simplify]: Simplify 0 into 0 5.866 * [backup-simplify]: Simplify 1 into 1 5.866 * [backup-simplify]: Simplify (- 0) into 0 5.867 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 m))) into 0 5.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.869 * [backup-simplify]: Simplify (- 0) into 0 5.870 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (+ (* (- (* 1/2 m) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 m) M)))) into 1/4 5.870 * [taylor]: Taking taylor expansion of 1/4 in m 5.870 * [backup-simplify]: Simplify 1/4 into 1/4 5.870 * [taylor]: Taking taylor expansion of 1/4 in M 5.870 * [backup-simplify]: Simplify 1/4 into 1/4 5.870 * [backup-simplify]: Simplify 1/4 into 1/4 5.871 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.872 * [backup-simplify]: Simplify (- 0) into 0 5.872 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.872 * [taylor]: Taking taylor expansion of 1/2 in M 5.872 * [backup-simplify]: Simplify 1/2 into 1/2 5.872 * [backup-simplify]: Simplify 1/2 into 1/2 5.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.874 * [backup-simplify]: Simplify (- 0) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.875 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 5.875 * [taylor]: Taking taylor expansion of 1/4 in M 5.876 * [backup-simplify]: Simplify 1/4 into 1/4 5.876 * [backup-simplify]: Simplify 1/4 into 1/4 5.876 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* m 1)) 2)) (+ (* 1/2 (* 1 (* m n))) (* 1/4 (pow (* 1 (* 1 n)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) 5.876 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M)) (- (/ (+ (/ 1 n) (/ 1 m)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 5.877 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (n m M) around 0 5.877 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 5.877 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.877 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.877 * [taylor]: Taking taylor expansion of 1/2 in M 5.877 * [backup-simplify]: Simplify 1/2 into 1/2 5.877 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.877 * [taylor]: Taking taylor expansion of m in M 5.877 * [backup-simplify]: Simplify m into m 5.877 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.877 * [taylor]: Taking taylor expansion of 1/2 in M 5.877 * [backup-simplify]: Simplify 1/2 into 1/2 5.877 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.877 * [taylor]: Taking taylor expansion of n in M 5.877 * [backup-simplify]: Simplify n into n 5.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.877 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.877 * [taylor]: Taking taylor expansion of M in M 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.878 * [backup-simplify]: Simplify (/ 1 1) into 1 5.878 * [backup-simplify]: Simplify (- 1) into -1 5.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.878 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.878 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.878 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.878 * [taylor]: Taking taylor expansion of 1/2 in m 5.878 * [backup-simplify]: Simplify 1/2 into 1/2 5.879 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.879 * [taylor]: Taking taylor expansion of m in m 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.879 * [backup-simplify]: Simplify (/ 1 1) into 1 5.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.879 * [taylor]: Taking taylor expansion of 1/2 in m 5.879 * [backup-simplify]: Simplify 1/2 into 1/2 5.879 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.879 * [taylor]: Taking taylor expansion of n in m 5.879 * [backup-simplify]: Simplify n into n 5.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.879 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.879 * [taylor]: Taking taylor expansion of M in m 5.879 * [backup-simplify]: Simplify M into M 5.879 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.880 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.880 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.880 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.880 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.881 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.881 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.881 * [taylor]: Taking taylor expansion of 1/2 in n 5.881 * [backup-simplify]: Simplify 1/2 into 1/2 5.881 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.881 * [taylor]: Taking taylor expansion of m in n 5.881 * [backup-simplify]: Simplify m into m 5.881 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.881 * [taylor]: Taking taylor expansion of 1/2 in n 5.881 * [backup-simplify]: Simplify 1/2 into 1/2 5.881 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.881 * [taylor]: Taking taylor expansion of n in n 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (/ 1 1) into 1 5.881 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.881 * [taylor]: Taking taylor expansion of M in n 5.881 * [backup-simplify]: Simplify M into M 5.881 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.882 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.882 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.883 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.883 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.883 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.883 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.883 * [taylor]: Taking taylor expansion of 1/2 in n 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.883 * [taylor]: Taking taylor expansion of m in n 5.883 * [backup-simplify]: Simplify m into m 5.883 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.883 * [taylor]: Taking taylor expansion of 1/2 in n 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.883 * [taylor]: Taking taylor expansion of n in n 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (/ 1 1) into 1 5.883 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.883 * [taylor]: Taking taylor expansion of M in n 5.883 * [backup-simplify]: Simplify M into M 5.884 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.884 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.885 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.885 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.885 * [taylor]: Taking taylor expansion of 1/4 in m 5.885 * [backup-simplify]: Simplify 1/4 into 1/4 5.885 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.887 * [backup-simplify]: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) 5.887 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.887 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 m)) (- (/ 1 M))) into (- (* 1/2 (/ 1 m)) (/ 1 M)) 5.887 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 m)) (/ 1 M)) 5.887 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 m)) (/ 1 M)) in m 5.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.888 * [taylor]: Taking taylor expansion of 1/2 in m 5.888 * [backup-simplify]: Simplify 1/2 into 1/2 5.888 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.888 * [taylor]: Taking taylor expansion of m in m 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (/ 1 1) into 1 5.888 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.888 * [taylor]: Taking taylor expansion of M in m 5.888 * [backup-simplify]: Simplify M into M 5.888 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 5.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.891 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.891 * [backup-simplify]: Simplify (- 0) into 0 5.892 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) 5.893 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) in m 5.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) in m 5.893 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 5.893 * [taylor]: Taking taylor expansion of (pow M 2) in m 5.893 * [taylor]: Taking taylor expansion of M in m 5.893 * [backup-simplify]: Simplify M into M 5.893 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.893 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.893 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 5.893 * [taylor]: Taking taylor expansion of 1/4 in m 5.893 * [backup-simplify]: Simplify 1/4 into 1/4 5.893 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 5.893 * [taylor]: Taking taylor expansion of (pow m 2) in m 5.893 * [taylor]: Taking taylor expansion of m in m 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 1 into 1 5.894 * [backup-simplify]: Simplify (* 1 1) into 1 5.894 * [backup-simplify]: Simplify (/ 1 1) into 1 5.894 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 5.894 * [taylor]: Taking taylor expansion of (* m M) in m 5.894 * [taylor]: Taking taylor expansion of m in m 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [taylor]: Taking taylor expansion of M in m 5.894 * [backup-simplify]: Simplify M into M 5.894 * [backup-simplify]: Simplify (* 0 M) into 0 5.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 5.895 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.895 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.896 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.896 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.896 * [taylor]: Taking taylor expansion of 1/4 in M 5.896 * [backup-simplify]: Simplify 1/4 into 1/4 5.896 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.897 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.897 * [taylor]: Taking taylor expansion of 1/2 in M 5.897 * [backup-simplify]: Simplify 1/2 into 1/2 5.897 * [taylor]: Taking taylor expansion of 1/4 in M 5.897 * [backup-simplify]: Simplify 1/4 into 1/4 5.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.901 * [backup-simplify]: Simplify (- 0) into 0 5.901 * [backup-simplify]: Simplify (+ 0 0) into 0 5.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2)))) into 0 5.902 * [taylor]: Taking taylor expansion of 0 in m 5.902 * [backup-simplify]: Simplify 0 into 0 5.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.905 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.905 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.905 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.905 * [taylor]: Taking taylor expansion of M in M 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (/ 1 1) into 1 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.907 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.907 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.907 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.907 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.907 * [taylor]: Taking taylor expansion of M in M 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 1 into 1 5.907 * [backup-simplify]: Simplify (/ 1 1) into 1 5.907 * [taylor]: Taking taylor expansion of 0 in M 5.907 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 5.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.916 * [backup-simplify]: Simplify (+ 0 0) into 0 5.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.916 * [backup-simplify]: Simplify (- 0) into 0 5.917 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 m)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 m)) (/ 1 M))) (* 0 1/2))))) into 0 5.918 * [taylor]: Taking taylor expansion of 0 in m 5.918 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.921 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 5.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.923 * [backup-simplify]: Simplify (- 0) into 0 5.923 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.923 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.923 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.923 * [taylor]: Taking taylor expansion of M in M 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.923 * [backup-simplify]: Simplify (* 1 1) into 1 5.924 * [backup-simplify]: Simplify (/ 1 1) into 1 5.924 * [backup-simplify]: Simplify 1 into 1 5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.926 * [backup-simplify]: Simplify (- 0) into 0 5.927 * [backup-simplify]: Simplify (+ 0 0) into 0 5.927 * [taylor]: Taking taylor expansion of 0 in M 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [taylor]: Taking taylor expansion of 0 in M 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (- 1) into -1 5.927 * [backup-simplify]: Simplify -1 into -1 5.928 * [backup-simplify]: Simplify (- 1) into -1 5.928 * [backup-simplify]: Simplify -1 into -1 5.929 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 n))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 m)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.929 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- n)) (/ 1 (- m))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 5.929 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (n m M) around 0 5.929 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 5.929 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.929 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.929 * [taylor]: Taking taylor expansion of M in M 5.929 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify 1 into 1 5.930 * [backup-simplify]: Simplify (/ 1 1) into 1 5.930 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.930 * [taylor]: Taking taylor expansion of 1/2 in M 5.930 * [backup-simplify]: Simplify 1/2 into 1/2 5.930 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.930 * [taylor]: Taking taylor expansion of m in M 5.930 * [backup-simplify]: Simplify m into m 5.930 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.930 * [taylor]: Taking taylor expansion of 1/2 in M 5.930 * [backup-simplify]: Simplify 1/2 into 1/2 5.930 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.930 * [taylor]: Taking taylor expansion of n in M 5.930 * [backup-simplify]: Simplify n into n 5.930 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.931 * [backup-simplify]: Simplify (+ 1 0) into 1 5.931 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 5.931 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.931 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.931 * [taylor]: Taking taylor expansion of M in m 5.931 * [backup-simplify]: Simplify M into M 5.931 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.931 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.931 * [taylor]: Taking taylor expansion of 1/2 in m 5.931 * [backup-simplify]: Simplify 1/2 into 1/2 5.931 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.931 * [taylor]: Taking taylor expansion of m in m 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (/ 1 1) into 1 5.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.931 * [taylor]: Taking taylor expansion of 1/2 in m 5.931 * [backup-simplify]: Simplify 1/2 into 1/2 5.931 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.932 * [taylor]: Taking taylor expansion of n in m 5.932 * [backup-simplify]: Simplify n into n 5.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.932 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.933 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.933 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.933 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.933 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.933 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.933 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.933 * [taylor]: Taking taylor expansion of M in n 5.934 * [backup-simplify]: Simplify M into M 5.934 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.934 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.934 * [taylor]: Taking taylor expansion of 1/2 in n 5.934 * [backup-simplify]: Simplify 1/2 into 1/2 5.934 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.934 * [taylor]: Taking taylor expansion of m in n 5.934 * [backup-simplify]: Simplify m into m 5.934 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.934 * [taylor]: Taking taylor expansion of 1/2 in n 5.934 * [backup-simplify]: Simplify 1/2 into 1/2 5.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.934 * [taylor]: Taking taylor expansion of n in n 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [backup-simplify]: Simplify (/ 1 1) into 1 5.935 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.935 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.936 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.936 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.936 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.936 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.936 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.936 * [taylor]: Taking taylor expansion of M in n 5.936 * [backup-simplify]: Simplify M into M 5.936 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.936 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.936 * [taylor]: Taking taylor expansion of 1/2 in n 5.937 * [backup-simplify]: Simplify 1/2 into 1/2 5.937 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.937 * [taylor]: Taking taylor expansion of m in n 5.937 * [backup-simplify]: Simplify m into m 5.937 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.937 * [taylor]: Taking taylor expansion of 1/2 in n 5.937 * [backup-simplify]: Simplify 1/2 into 1/2 5.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.937 * [taylor]: Taking taylor expansion of n in n 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 1 into 1 5.937 * [backup-simplify]: Simplify (/ 1 1) into 1 5.938 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.938 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.938 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.939 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.939 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 5.939 * [taylor]: Taking taylor expansion of 1/4 in m 5.939 * [backup-simplify]: Simplify 1/4 into 1/4 5.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 5.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.941 * [backup-simplify]: Simplify (+ (/ 1/2 m) 0) into (* 1/2 (/ 1 m)) 5.941 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 m))) into (- (* 1/2 (/ 1 m))) 5.942 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 m)))) into (- (/ 1 M) (* 1/2 (/ 1 m))) 5.942 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* (- (/ 1 M) (* 1/2 (/ 1 m))) -1/2)) into (- (* 1/2 (/ 1 m)) (/ 1 M)) 5.942 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 m)) (/ 1 M)) in m 5.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.942 * [taylor]: Taking taylor expansion of 1/2 in m 5.942 * [backup-simplify]: Simplify 1/2 into 1/2 5.942 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.942 * [taylor]: Taking taylor expansion of m in m 5.942 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (/ 1 1) into 1 5.943 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.943 * [taylor]: Taking taylor expansion of M in m 5.943 * [backup-simplify]: Simplify M into M 5.943 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 5.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 5.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.947 * [backup-simplify]: Simplify (+ 0 0) into 0 5.948 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) 5.948 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) (/ 1 (* m M))) in m 5.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow m 2)))) in m 5.949 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in m 5.949 * [taylor]: Taking taylor expansion of (pow M 2) in m 5.949 * [taylor]: Taking taylor expansion of M in m 5.949 * [backup-simplify]: Simplify M into M 5.949 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.949 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.949 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m 5.949 * [taylor]: Taking taylor expansion of 1/4 in m 5.949 * [backup-simplify]: Simplify 1/4 into 1/4 5.949 * [taylor]: Taking taylor expansion of (/ 1 (pow m 2)) in m 5.949 * [taylor]: Taking taylor expansion of (pow m 2) in m 5.949 * [taylor]: Taking taylor expansion of m in m 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (* 1 1) into 1 5.950 * [backup-simplify]: Simplify (/ 1 1) into 1 5.950 * [taylor]: Taking taylor expansion of (/ 1 (* m M)) in m 5.950 * [taylor]: Taking taylor expansion of (* m M) in m 5.950 * [taylor]: Taking taylor expansion of m in m 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [taylor]: Taking taylor expansion of M in m 5.950 * [backup-simplify]: Simplify M into M 5.950 * [backup-simplify]: Simplify (* 0 M) into 0 5.951 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 M)) into M 5.951 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.951 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.952 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.952 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.952 * [taylor]: Taking taylor expansion of 1/4 in M 5.952 * [backup-simplify]: Simplify 1/4 into 1/4 5.953 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.953 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.953 * [taylor]: Taking taylor expansion of 1/2 in M 5.953 * [backup-simplify]: Simplify 1/2 into 1/2 5.953 * [taylor]: Taking taylor expansion of 1/4 in M 5.953 * [backup-simplify]: Simplify 1/4 into 1/4 5.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 5.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.957 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (- 0) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2)))) into 0 5.959 * [taylor]: Taking taylor expansion of 0 in m 5.959 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.962 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.962 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.962 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.962 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.962 * [taylor]: Taking taylor expansion of M in M 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (/ 1 1) into 1 5.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.964 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.965 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.965 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.965 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.965 * [taylor]: Taking taylor expansion of M in M 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (/ 1 1) into 1 5.965 * [taylor]: Taking taylor expansion of 0 in M 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 5.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 5.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.970 * [backup-simplify]: Simplify (+ 0 0) into 0 5.970 * [backup-simplify]: Simplify (- 0) into 0 5.971 * [backup-simplify]: Simplify (+ 0 0) into 0 5.972 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 m))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 m)))) (* 0 -1/2))))) into 0 5.972 * [taylor]: Taking taylor expansion of 0 in m 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.976 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 5.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.977 * [backup-simplify]: Simplify (- 0) into 0 5.977 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.977 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.977 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.977 * [taylor]: Taking taylor expansion of M in M 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (* 1 1) into 1 5.978 * [backup-simplify]: Simplify (/ 1 1) into 1 5.978 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.981 * [backup-simplify]: Simplify (- 0) into 0 5.981 * [backup-simplify]: Simplify (+ 0 0) into 0 5.981 * [taylor]: Taking taylor expansion of 0 in M 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [taylor]: Taking taylor expansion of 0 in M 5.981 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (- 1) into -1 5.982 * [backup-simplify]: Simplify -1 into -1 5.982 * [backup-simplify]: Simplify (- 1) into -1 5.982 * [backup-simplify]: Simplify -1 into -1 5.983 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- n)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- m))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.984 * * * [progress]: simplifying candidates 5.984 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) 1)) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 4 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 5 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 6 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 5.984 * * * * [progress]: [ 9 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.984 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ n m) 2) M) (+ 1 1))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1)))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ n m) 2) M) 2)))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ n m) 2) M) (+ 1 1))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1)))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #real (real->posit16 (exp (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (exp (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #real (real->posit16 (log (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 18 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 19 / 64 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 21 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (sqrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.985 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (pow (/ (+ n m) 2) 3) (pow M 3))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 23 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 24 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (pow (/ (+ n m) 2) 3) (pow M 3))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 25 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 27 / 64 ] simplifiying candidate #real (real->posit16 (* (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))) (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 31 / 64 ] simplifiying candidate #real (real->posit16 (* (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #real (real->posit16 (* (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.986 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 35 / 64 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))) (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ n m) 2) M) (* 2 1))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 41 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (cbrt (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (sqrt (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ n m) 2) M) 1) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (- (sqrt (/ (+ n m) 2)) (sqrt M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ n m) 2) M) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)))))) (- l (fabs (- m n)))))))> 5.987 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ n m) 2) M) 1) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (- (/ (+ n m) 2) M)) (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 53 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ n m) 2) M) (- (pow (/ (+ n m) 2) 3) (pow M 3))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (+ (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 55 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (/ (+ n m) 2) M)) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (+ n m) 2) M)) (+ (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))) (- l (fabs (- m n)))))))> 5.988 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> 5.989 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 5.989 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 5.989 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 5.989 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #real (real->posit16 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))))) (- l (fabs (- m n)))))))> 5.989 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n)))))) (- l (fabs (- m n)))))))> 5.989 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n)))))) (- l (fabs (- m n)))))))> 5.990 * [simplify]: Simplifying: (log (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (exp (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (* (cbrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (* (* (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (+ 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ 1 1) (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (sqrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (sqrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (pow (/ (+ n m) 2) 3) (pow M 3))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M))) (+ (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (pow (/ (+ n m) 2) 3) (pow M 3))) (* (+ (/ (+ n m) 2) M) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) M)))) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (/ (+ n m) 2) M) (+ (/ (+ n m) 2) M)) (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))) (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))) (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* 1 1) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))) (* (sqrt (- (/ (+ n m) 2) M)) (sqrt (- (/ (+ n m) 2) M))) (* 2 1) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- M)) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) 1) (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) 1) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (pow (/ (+ n m) 2) 3) (pow M 3))) (* (- (/ (+ n m) 2) M) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (- (pow (/ (+ n m) 2) 3) (pow M 3)) (- (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (/ (+ n m) 2) M)) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 5.993 * * [simplify]: iteration 0: 103 enodes 6.045 * * [simplify]: iteration 1: 291 enodes 6.179 * * [simplify]: iteration 2: 989 enodes 6.482 * * [simplify]: iteration 3: 2005 enodes 6.987 * * [simplify]: iteration complete: 2005 enodes 6.988 * * [simplify]: Extracting #0: cost 35 inf + 0 6.989 * * [simplify]: Extracting #1: cost 284 inf + 2 6.992 * * [simplify]: Extracting #2: cost 675 inf + 171 7.005 * * [simplify]: Extracting #3: cost 716 inf + 15749 7.026 * * [simplify]: Extracting #4: cost 237 inf + 130746 7.087 * * [simplify]: Extracting #5: cost 59 inf + 177304 7.159 * * [simplify]: Extracting #6: cost 28 inf + 186440 7.232 * * [simplify]: Extracting #7: cost 5 inf + 190223 7.296 * * [simplify]: Extracting #8: cost 0 inf + 191566 7.359 * [simplify]: Simplified to: (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (fabs (- (/ (+ m n) 2) M)) (fabs (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 2 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 2 (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (fabs (- (/ (+ m n) 2) M)) (fabs (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (* (/ (+ m n) 2) (/ (+ m n) 2))) (* (* M M) M)) (- (* (/ (+ m n) 2) (* (/ (+ m n) 2) (/ (+ m n) 2))) (* (* M M) M))) (* (+ (* (/ (+ m n) 2) (+ M (/ (+ m n) 2))) (* M M)) (+ (* (/ (+ m n) 2) (+ M (/ (+ m n) 2))) (* M M))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (* (/ (+ m n) 2) (* (/ (+ m n) 2) (/ (+ m n) 2))) (* (* M M) M))) (* (+ (* (/ (+ m n) 2) (+ M (/ (+ m n) 2))) (* M M)) (+ M (/ (+ m n) 2))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (* (/ (+ m n) 2) (* (/ (+ m n) 2) (/ (+ m n) 2))) (* (* M M) M))) (* (+ (* (/ (+ m n) 2) (+ M (/ (+ m n) 2))) (* M M)) (+ M (/ (+ m n) 2))) (* (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (+ M (/ (+ m n) 2)) (+ M (/ (+ m n) 2))) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 2 (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M (- (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M (- (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M (- (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M (- (- (/ (+ m n) 2) M))) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (* (/ (+ m n) 2) (/ (+ m n) 2))) (* (* M M) M)) (- (/ (+ m n) 2) M)) (* (+ M (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (* (/ (+ m n) 2) (* (/ (+ m n) 2) (/ (+ m n) 2))) (* (* M M) M)) (- (/ (+ m n) 2) M)) (* (+ M (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ (* (+ (* n n) (* m m)) 1/4) (* m (* n 1/2))) (- (* M M) (* (+ m n) M)) (- (* M M) (* (+ m n) M)) (+ (* (+ (* n n) (* m m)) 1/4) (* m (* n 1/2))) (- (* M M) (* (+ m n) M)) (- (* M M) (* (+ m n) M)) 7.375 * * * [progress]: adding candidates to table 8.162 * * [progress]: iteration 4 / 4 8.163 * * * [progress]: picking best candidate 8.193 * * * * [pick]: Picked #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.193 * * * [progress]: localizing error 8.302 * * * [progress]: generating rewritten candidates 8.302 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 8.302 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 8.370 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) 8.384 * * * [progress]: generating series expansions 8.384 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 8.384 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* K (+ m n)))) into (* K (+ m n)) 8.384 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 8.384 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 8.384 * [taylor]: Taking taylor expansion of K in n 8.384 * [backup-simplify]: Simplify K into K 8.384 * [taylor]: Taking taylor expansion of (+ m n) in n 8.384 * [taylor]: Taking taylor expansion of m in n 8.384 * [backup-simplify]: Simplify m into m 8.384 * [taylor]: Taking taylor expansion of n in n 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify 1 into 1 8.384 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 8.384 * [taylor]: Taking taylor expansion of K in m 8.384 * [backup-simplify]: Simplify K into K 8.384 * [taylor]: Taking taylor expansion of (+ m n) in m 8.384 * [taylor]: Taking taylor expansion of m in m 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [taylor]: Taking taylor expansion of n in m 8.385 * [backup-simplify]: Simplify n into n 8.385 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 8.385 * [taylor]: Taking taylor expansion of K in K 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [taylor]: Taking taylor expansion of (+ m n) in K 8.385 * [taylor]: Taking taylor expansion of m in K 8.385 * [backup-simplify]: Simplify m into m 8.385 * [taylor]: Taking taylor expansion of n in K 8.385 * [backup-simplify]: Simplify n into n 8.385 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 8.385 * [taylor]: Taking taylor expansion of K in K 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [taylor]: Taking taylor expansion of (+ m n) in K 8.385 * [taylor]: Taking taylor expansion of m in K 8.385 * [backup-simplify]: Simplify m into m 8.385 * [taylor]: Taking taylor expansion of n in K 8.385 * [backup-simplify]: Simplify n into n 8.385 * [backup-simplify]: Simplify (+ m n) into (+ m n) 8.385 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 8.385 * [taylor]: Taking taylor expansion of 0 in m 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [taylor]: Taking taylor expansion of 0 in n 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (+ 0 0) into 0 8.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 8.386 * [taylor]: Taking taylor expansion of (+ m n) in m 8.386 * [taylor]: Taking taylor expansion of m in m 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 1 into 1 8.386 * [taylor]: Taking taylor expansion of n in m 8.386 * [backup-simplify]: Simplify n into n 8.386 * [backup-simplify]: Simplify (+ 0 n) into n 8.386 * [taylor]: Taking taylor expansion of n in n 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 1 into 1 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [taylor]: Taking taylor expansion of 0 in n 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify (+ 0 0) into 0 8.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 8.387 * [taylor]: Taking taylor expansion of 0 in m 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [taylor]: Taking taylor expansion of 0 in n 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify (+ 1 0) into 1 8.388 * [taylor]: Taking taylor expansion of 1 in n 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [taylor]: Taking taylor expansion of 0 in n 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 8.389 * [taylor]: Taking taylor expansion of 0 in m 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [taylor]: Taking taylor expansion of 0 in n 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [taylor]: Taking taylor expansion of 0 in n 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify (+ 0 0) into 0 8.389 * [taylor]: Taking taylor expansion of 0 in n 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [taylor]: Taking taylor expansion of 0 in n 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* K n)) 8.390 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) into (/ (+ (/ 1 m) (/ 1 n)) K) 8.390 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 8.390 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 8.390 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 8.390 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.390 * [taylor]: Taking taylor expansion of m in n 8.390 * [backup-simplify]: Simplify m into m 8.390 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.390 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.390 * [taylor]: Taking taylor expansion of n in n 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (/ 1 1) into 1 8.390 * [taylor]: Taking taylor expansion of K in n 8.390 * [backup-simplify]: Simplify K into K 8.390 * [backup-simplify]: Simplify (+ 0 1) into 1 8.390 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.390 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 8.390 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.390 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.390 * [taylor]: Taking taylor expansion of m in m 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (/ 1 1) into 1 8.391 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.391 * [taylor]: Taking taylor expansion of n in m 8.391 * [backup-simplify]: Simplify n into n 8.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.391 * [taylor]: Taking taylor expansion of K in m 8.391 * [backup-simplify]: Simplify K into K 8.391 * [backup-simplify]: Simplify (+ 1 0) into 1 8.391 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.391 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.391 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.391 * [taylor]: Taking taylor expansion of m in K 8.391 * [backup-simplify]: Simplify m into m 8.391 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.391 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.391 * [taylor]: Taking taylor expansion of n in K 8.391 * [backup-simplify]: Simplify n into n 8.391 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.391 * [taylor]: Taking taylor expansion of K in K 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.392 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.392 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.392 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.392 * [taylor]: Taking taylor expansion of m in K 8.392 * [backup-simplify]: Simplify m into m 8.392 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.392 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.392 * [taylor]: Taking taylor expansion of n in K 8.392 * [backup-simplify]: Simplify n into n 8.392 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.392 * [taylor]: Taking taylor expansion of K in K 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.392 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.392 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.392 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.392 * [taylor]: Taking taylor expansion of m in m 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (/ 1 1) into 1 8.392 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.392 * [taylor]: Taking taylor expansion of n in m 8.392 * [backup-simplify]: Simplify n into n 8.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.393 * [backup-simplify]: Simplify (+ 1 0) into 1 8.393 * [taylor]: Taking taylor expansion of 1 in n 8.393 * [backup-simplify]: Simplify 1 into 1 8.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 8.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 8.394 * [taylor]: Taking taylor expansion of 0 in m 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.394 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.394 * [taylor]: Taking taylor expansion of n in n 8.395 * [backup-simplify]: Simplify 0 into 0 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (/ 1 1) into 1 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.395 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.396 * [taylor]: Taking taylor expansion of 0 in m 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [taylor]: Taking taylor expansion of 0 in n 8.396 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.398 * [backup-simplify]: Simplify (+ 0 0) into 0 8.398 * [taylor]: Taking taylor expansion of 0 in n 8.398 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.399 * [backup-simplify]: Simplify (+ 0 0) into 0 8.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [taylor]: Taking taylor expansion of 0 in m 8.401 * [backup-simplify]: Simplify 0 into 0 8.401 * [taylor]: Taking taylor expansion of 0 in n 8.401 * [backup-simplify]: Simplify 0 into 0 8.401 * [taylor]: Taking taylor expansion of 0 in n 8.401 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.403 * [backup-simplify]: Simplify (+ 0 0) into 0 8.403 * [taylor]: Taking taylor expansion of 0 in n 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.403 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* K n)) 8.404 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) into (/ (+ (/ 1 m) (/ 1 n)) K) 8.404 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 8.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 8.404 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 8.404 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.404 * [taylor]: Taking taylor expansion of m in n 8.404 * [backup-simplify]: Simplify m into m 8.404 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.404 * [taylor]: Taking taylor expansion of n in n 8.404 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (/ 1 1) into 1 8.405 * [taylor]: Taking taylor expansion of K in n 8.405 * [backup-simplify]: Simplify K into K 8.405 * [backup-simplify]: Simplify (+ 0 1) into 1 8.405 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 8.405 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.405 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.405 * [taylor]: Taking taylor expansion of m in m 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.406 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.406 * [taylor]: Taking taylor expansion of n in m 8.406 * [backup-simplify]: Simplify n into n 8.406 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.406 * [taylor]: Taking taylor expansion of K in m 8.406 * [backup-simplify]: Simplify K into K 8.406 * [backup-simplify]: Simplify (+ 1 0) into 1 8.406 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.406 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.406 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.406 * [taylor]: Taking taylor expansion of m in K 8.406 * [backup-simplify]: Simplify m into m 8.406 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.406 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.406 * [taylor]: Taking taylor expansion of n in K 8.407 * [backup-simplify]: Simplify n into n 8.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.407 * [taylor]: Taking taylor expansion of K in K 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.407 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.407 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.407 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.407 * [taylor]: Taking taylor expansion of m in K 8.407 * [backup-simplify]: Simplify m into m 8.407 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.407 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.407 * [taylor]: Taking taylor expansion of n in K 8.407 * [backup-simplify]: Simplify n into n 8.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.407 * [taylor]: Taking taylor expansion of K in K 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.407 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.407 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.407 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.407 * [taylor]: Taking taylor expansion of m in m 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [backup-simplify]: Simplify (/ 1 1) into 1 8.408 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.408 * [taylor]: Taking taylor expansion of n in m 8.408 * [backup-simplify]: Simplify n into n 8.408 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.408 * [backup-simplify]: Simplify (+ 1 0) into 1 8.408 * [taylor]: Taking taylor expansion of 1 in n 8.408 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 8.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.409 * [backup-simplify]: Simplify (+ 0 0) into 0 8.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 8.410 * [taylor]: Taking taylor expansion of 0 in m 8.410 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.411 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.411 * [taylor]: Taking taylor expansion of n in n 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify (/ 1 1) into 1 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.412 * [backup-simplify]: Simplify (+ 0 0) into 0 8.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.413 * [taylor]: Taking taylor expansion of 0 in m 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [taylor]: Taking taylor expansion of 0 in n 8.413 * [backup-simplify]: Simplify 0 into 0 8.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.415 * [backup-simplify]: Simplify (+ 0 0) into 0 8.415 * [taylor]: Taking taylor expansion of 0 in n 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.416 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.418 * [taylor]: Taking taylor expansion of 0 in m 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [taylor]: Taking taylor expansion of 0 in n 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [taylor]: Taking taylor expansion of 0 in n 8.418 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.419 * [backup-simplify]: Simplify (+ 0 0) into 0 8.419 * [taylor]: Taking taylor expansion of 0 in n 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* K n)) 8.421 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.421 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 8.421 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 8.421 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 8.421 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 8.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 8.421 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 8.421 * [taylor]: Taking taylor expansion of 1/2 in M 8.421 * [backup-simplify]: Simplify 1/2 into 1/2 8.421 * [taylor]: Taking taylor expansion of (* K n) in M 8.421 * [taylor]: Taking taylor expansion of K in M 8.421 * [backup-simplify]: Simplify K into K 8.421 * [taylor]: Taking taylor expansion of n in M 8.421 * [backup-simplify]: Simplify n into n 8.421 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 8.421 * [taylor]: Taking taylor expansion of 1/2 in M 8.421 * [backup-simplify]: Simplify 1/2 into 1/2 8.421 * [taylor]: Taking taylor expansion of (* K m) in M 8.421 * [taylor]: Taking taylor expansion of K in M 8.421 * [backup-simplify]: Simplify K into K 8.421 * [taylor]: Taking taylor expansion of m in M 8.421 * [backup-simplify]: Simplify m into m 8.421 * [taylor]: Taking taylor expansion of M in M 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (* K n) into (* K n) 8.422 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.422 * [backup-simplify]: Simplify (* K m) into (* K m) 8.422 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.422 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.422 * [backup-simplify]: Simplify (- 0) into 0 8.422 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 8.423 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.423 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 8.423 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 8.423 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 8.423 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 8.423 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 8.423 * [taylor]: Taking taylor expansion of 1/2 in n 8.423 * [backup-simplify]: Simplify 1/2 into 1/2 8.423 * [taylor]: Taking taylor expansion of (* K n) in n 8.423 * [taylor]: Taking taylor expansion of K in n 8.423 * [backup-simplify]: Simplify K into K 8.423 * [taylor]: Taking taylor expansion of n in n 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 1 into 1 8.423 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 8.423 * [taylor]: Taking taylor expansion of 1/2 in n 8.423 * [backup-simplify]: Simplify 1/2 into 1/2 8.423 * [taylor]: Taking taylor expansion of (* K m) in n 8.423 * [taylor]: Taking taylor expansion of K in n 8.423 * [backup-simplify]: Simplify K into K 8.423 * [taylor]: Taking taylor expansion of m in n 8.423 * [backup-simplify]: Simplify m into m 8.423 * [taylor]: Taking taylor expansion of M in n 8.423 * [backup-simplify]: Simplify M into M 8.423 * [backup-simplify]: Simplify (* K 0) into 0 8.424 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.424 * [backup-simplify]: Simplify (* K m) into (* K m) 8.424 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 8.424 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 8.424 * [backup-simplify]: Simplify (- M) into (- M) 8.424 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 8.424 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 8.424 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 8.424 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 8.424 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 8.424 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 8.424 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 8.424 * [taylor]: Taking taylor expansion of 1/2 in m 8.424 * [backup-simplify]: Simplify 1/2 into 1/2 8.424 * [taylor]: Taking taylor expansion of (* K n) in m 8.425 * [taylor]: Taking taylor expansion of K in m 8.425 * [backup-simplify]: Simplify K into K 8.425 * [taylor]: Taking taylor expansion of n in m 8.425 * [backup-simplify]: Simplify n into n 8.425 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 8.425 * [taylor]: Taking taylor expansion of 1/2 in m 8.425 * [backup-simplify]: Simplify 1/2 into 1/2 8.425 * [taylor]: Taking taylor expansion of (* K m) in m 8.425 * [taylor]: Taking taylor expansion of K in m 8.425 * [backup-simplify]: Simplify K into K 8.425 * [taylor]: Taking taylor expansion of m in m 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 1 into 1 8.425 * [taylor]: Taking taylor expansion of M in m 8.425 * [backup-simplify]: Simplify M into M 8.425 * [backup-simplify]: Simplify (* K n) into (* K n) 8.425 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 8.425 * [backup-simplify]: Simplify (* K 0) into 0 8.425 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.425 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 8.426 * [backup-simplify]: Simplify (- M) into (- M) 8.426 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 8.426 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 8.426 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 8.426 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.426 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.426 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.426 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.426 * [taylor]: Taking taylor expansion of 1/2 in K 8.426 * [backup-simplify]: Simplify 1/2 into 1/2 8.426 * [taylor]: Taking taylor expansion of (* K n) in K 8.426 * [taylor]: Taking taylor expansion of K in K 8.426 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify 1 into 1 8.426 * [taylor]: Taking taylor expansion of n in K 8.426 * [backup-simplify]: Simplify n into n 8.426 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.426 * [taylor]: Taking taylor expansion of 1/2 in K 8.427 * [backup-simplify]: Simplify 1/2 into 1/2 8.427 * [taylor]: Taking taylor expansion of (* K m) in K 8.427 * [taylor]: Taking taylor expansion of K in K 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [taylor]: Taking taylor expansion of m in K 8.427 * [backup-simplify]: Simplify m into m 8.427 * [taylor]: Taking taylor expansion of M in K 8.427 * [backup-simplify]: Simplify M into M 8.427 * [backup-simplify]: Simplify (* 0 n) into 0 8.427 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.427 * [backup-simplify]: Simplify (* 0 m) into 0 8.428 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.428 * [backup-simplify]: Simplify (- M) into (- M) 8.428 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.428 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.428 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.428 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 8.428 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 8.428 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 8.428 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 8.428 * [taylor]: Taking taylor expansion of 1/2 in K 8.428 * [backup-simplify]: Simplify 1/2 into 1/2 8.428 * [taylor]: Taking taylor expansion of (* K n) in K 8.428 * [taylor]: Taking taylor expansion of K in K 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of n in K 8.429 * [backup-simplify]: Simplify n into n 8.429 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 8.429 * [taylor]: Taking taylor expansion of 1/2 in K 8.429 * [backup-simplify]: Simplify 1/2 into 1/2 8.429 * [taylor]: Taking taylor expansion of (* K m) in K 8.429 * [taylor]: Taking taylor expansion of K in K 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of m in K 8.429 * [backup-simplify]: Simplify m into m 8.429 * [taylor]: Taking taylor expansion of M in K 8.429 * [backup-simplify]: Simplify M into M 8.429 * [backup-simplify]: Simplify (* 0 n) into 0 8.429 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.430 * [backup-simplify]: Simplify (* 0 m) into 0 8.430 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (- M) into (- M) 8.431 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.431 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.431 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.431 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.431 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.431 * [backup-simplify]: Simplify (- 0) into 0 8.431 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.431 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.432 * [taylor]: Taking taylor expansion of (- M) in m 8.432 * [taylor]: Taking taylor expansion of M in m 8.432 * [backup-simplify]: Simplify M into M 8.432 * [backup-simplify]: Simplify (- M) into (- M) 8.432 * [backup-simplify]: Simplify (- M) into (- M) 8.432 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.432 * [backup-simplify]: Simplify (- M) into (- M) 8.432 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.432 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.432 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.432 * [backup-simplify]: Simplify (- 0) into 0 8.433 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.433 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.433 * [taylor]: Taking taylor expansion of (- M) in n 8.433 * [taylor]: Taking taylor expansion of M in n 8.433 * [backup-simplify]: Simplify M into M 8.433 * [backup-simplify]: Simplify (- M) into (- M) 8.433 * [backup-simplify]: Simplify (- M) into (- M) 8.433 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.433 * [backup-simplify]: Simplify (- M) into (- M) 8.433 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.433 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.433 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.434 * [backup-simplify]: Simplify (- 0) into 0 8.434 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.434 * [taylor]: Taking taylor expansion of (cos (- M)) in M 8.434 * [taylor]: Taking taylor expansion of (- M) in M 8.434 * [taylor]: Taking taylor expansion of M in M 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (- 0) into 0 8.435 * [backup-simplify]: Simplify (- 1) into -1 8.435 * [backup-simplify]: Simplify 1 into 1 8.435 * [backup-simplify]: Simplify (+ 0) into 0 8.436 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.436 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.437 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 8.437 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 8.438 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 8.438 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 8.438 * [backup-simplify]: Simplify (- 0) into 0 8.438 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 8.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 8.439 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 8.440 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.440 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 8.440 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 8.440 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 8.440 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 8.440 * [taylor]: Taking taylor expansion of 1/2 in m 8.440 * [backup-simplify]: Simplify 1/2 into 1/2 8.440 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 8.440 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.440 * [taylor]: Taking taylor expansion of (- M) in m 8.440 * [taylor]: Taking taylor expansion of M in m 8.440 * [backup-simplify]: Simplify M into M 8.440 * [backup-simplify]: Simplify (- M) into (- M) 8.441 * [backup-simplify]: Simplify (- M) into (- M) 8.441 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.441 * [backup-simplify]: Simplify (- M) into (- M) 8.441 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.441 * [taylor]: Taking taylor expansion of n in m 8.441 * [backup-simplify]: Simplify n into n 8.441 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 8.441 * [taylor]: Taking taylor expansion of 1/2 in m 8.441 * [backup-simplify]: Simplify 1/2 into 1/2 8.441 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 8.441 * [taylor]: Taking taylor expansion of m in m 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [taylor]: Taking taylor expansion of (sin (- M)) in m 8.441 * [taylor]: Taking taylor expansion of (- M) in m 8.441 * [taylor]: Taking taylor expansion of M in m 8.441 * [backup-simplify]: Simplify M into M 8.441 * [backup-simplify]: Simplify (- M) into (- M) 8.441 * [backup-simplify]: Simplify (- M) into (- M) 8.441 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.441 * [backup-simplify]: Simplify (- M) into (- M) 8.441 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.441 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.442 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.442 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.442 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 8.442 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 8.442 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.442 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.442 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.442 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 8.446 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.446 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 8.446 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 8.447 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 8.447 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 8.447 * [taylor]: Taking taylor expansion of 1/2 in n 8.447 * [backup-simplify]: Simplify 1/2 into 1/2 8.447 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 8.447 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.447 * [taylor]: Taking taylor expansion of (- M) in n 8.447 * [taylor]: Taking taylor expansion of M in n 8.447 * [backup-simplify]: Simplify M into M 8.447 * [backup-simplify]: Simplify (- M) into (- M) 8.447 * [backup-simplify]: Simplify (- M) into (- M) 8.447 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.447 * [backup-simplify]: Simplify (- M) into (- M) 8.447 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.447 * [taylor]: Taking taylor expansion of n in n 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 1 into 1 8.447 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.447 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.447 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.448 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.448 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.449 * [backup-simplify]: Simplify (- 0) into 0 8.449 * [taylor]: Taking taylor expansion of 0 in M 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify (+ 0) into 0 8.450 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.451 * [backup-simplify]: Simplify (- 0) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.452 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.453 * [backup-simplify]: Simplify (- 0) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.453 * [taylor]: Taking taylor expansion of 0 in n 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [taylor]: Taking taylor expansion of 0 in M 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify (+ 0) into 0 8.454 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 8.455 * [backup-simplify]: Simplify (- 0) into 0 8.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.456 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 8.457 * [backup-simplify]: Simplify (- 0) into 0 8.457 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [taylor]: Taking taylor expansion of 0 in M 8.457 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify (+ 0) into 0 8.458 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 8.460 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 8.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 8.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 8.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.465 * [backup-simplify]: Simplify (- 0) into 0 8.465 * [backup-simplify]: Simplify (+ 0 0) into 0 8.466 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.466 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 8.467 * [backup-simplify]: Simplify (- 0) into 0 8.468 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 8.468 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 8.468 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 8.468 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 8.468 * [taylor]: Taking taylor expansion of 1/8 in m 8.468 * [backup-simplify]: Simplify 1/8 into 1/8 8.468 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 8.468 * [taylor]: Taking taylor expansion of (pow m 2) in m 8.468 * [taylor]: Taking taylor expansion of m in m 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.468 * [taylor]: Taking taylor expansion of (- M) in m 8.468 * [taylor]: Taking taylor expansion of M in m 8.468 * [backup-simplify]: Simplify M into M 8.468 * [backup-simplify]: Simplify (- M) into (- M) 8.468 * [backup-simplify]: Simplify (- M) into (- M) 8.468 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.468 * [backup-simplify]: Simplify (- M) into (- M) 8.469 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.469 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 8.469 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 8.469 * [taylor]: Taking taylor expansion of 1/8 in m 8.469 * [backup-simplify]: Simplify 1/8 into 1/8 8.469 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 8.469 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.469 * [taylor]: Taking taylor expansion of (- M) in m 8.469 * [taylor]: Taking taylor expansion of M in m 8.469 * [backup-simplify]: Simplify M into M 8.469 * [backup-simplify]: Simplify (- M) into (- M) 8.469 * [backup-simplify]: Simplify (- M) into (- M) 8.469 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.469 * [backup-simplify]: Simplify (- M) into (- M) 8.469 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.469 * [taylor]: Taking taylor expansion of (pow n 2) in m 8.469 * [taylor]: Taking taylor expansion of n in m 8.469 * [backup-simplify]: Simplify n into n 8.469 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 8.469 * [taylor]: Taking taylor expansion of 1/4 in m 8.469 * [backup-simplify]: Simplify 1/4 into 1/4 8.469 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 8.469 * [taylor]: Taking taylor expansion of m in m 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.469 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 8.469 * [taylor]: Taking taylor expansion of (cos (- M)) in m 8.469 * [taylor]: Taking taylor expansion of (- M) in m 8.470 * [taylor]: Taking taylor expansion of M in m 8.470 * [backup-simplify]: Simplify M into M 8.470 * [backup-simplify]: Simplify (- M) into (- M) 8.470 * [backup-simplify]: Simplify (- M) into (- M) 8.470 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.470 * [backup-simplify]: Simplify (- M) into (- M) 8.470 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.470 * [taylor]: Taking taylor expansion of n in m 8.470 * [backup-simplify]: Simplify n into n 8.470 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.470 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.471 * [backup-simplify]: Simplify (- 0) into 0 8.471 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.471 * [backup-simplify]: Simplify (* n n) into (pow n 2) 8.471 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 8.471 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.471 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 8.471 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 8.472 * [backup-simplify]: Simplify (- 0) into 0 8.472 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 8.472 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 8.472 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 8.472 * [backup-simplify]: Simplify (* 1/4 0) into 0 8.473 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.473 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 8.473 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 8.473 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 8.473 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 8.473 * [taylor]: Taking taylor expansion of 1/8 in n 8.473 * [backup-simplify]: Simplify 1/8 into 1/8 8.473 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 8.473 * [taylor]: Taking taylor expansion of (cos (- M)) in n 8.473 * [taylor]: Taking taylor expansion of (- M) in n 8.473 * [taylor]: Taking taylor expansion of M in n 8.473 * [backup-simplify]: Simplify M into M 8.473 * [backup-simplify]: Simplify (- M) into (- M) 8.473 * [backup-simplify]: Simplify (- M) into (- M) 8.474 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.474 * [backup-simplify]: Simplify (- M) into (- M) 8.474 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.474 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.474 * [taylor]: Taking taylor expansion of n in n 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (+ 0) into 0 8.475 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.475 * [backup-simplify]: Simplify (- 0) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.477 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.477 * [backup-simplify]: Simplify (+ 0 0) into 0 8.477 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 8.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 8.478 * [backup-simplify]: Simplify (+ 0) into 0 8.479 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 8.479 * [backup-simplify]: Simplify (- 0) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.481 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 8.481 * [backup-simplify]: Simplify (+ 0 0) into 0 8.482 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 8.482 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 8.482 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 8.482 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.482 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 8.482 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 8.482 * [taylor]: Taking taylor expansion of 1/2 in n 8.482 * [backup-simplify]: Simplify 1/2 into 1/2 8.482 * [taylor]: Taking taylor expansion of (sin (- M)) in n 8.482 * [taylor]: Taking taylor expansion of (- M) in n 8.483 * [taylor]: Taking taylor expansion of M in n 8.483 * [backup-simplify]: Simplify M into M 8.483 * [backup-simplify]: Simplify (- M) into (- M) 8.483 * [backup-simplify]: Simplify (- M) into (- M) 8.483 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 8.483 * [backup-simplify]: Simplify (- M) into (- M) 8.483 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 8.483 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 8.483 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 8.483 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 8.483 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 8.483 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 8.483 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 8.483 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 8.483 * [taylor]: Taking taylor expansion of 1/2 in M 8.483 * [backup-simplify]: Simplify 1/2 into 1/2 8.483 * [taylor]: Taking taylor expansion of (sin (- M)) in M 8.483 * [taylor]: Taking taylor expansion of (- M) in M 8.483 * [taylor]: Taking taylor expansion of M in M 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [backup-simplify]: Simplify (- 0) into 0 8.484 * [backup-simplify]: Simplify (- 1) into -1 8.485 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.485 * [backup-simplify]: Simplify (- 0) into 0 8.485 * [backup-simplify]: Simplify 0 into 0 8.486 * [backup-simplify]: Simplify (- 0) into 0 8.487 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.487 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 8.488 * [backup-simplify]: Simplify (- 0) into 0 8.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.490 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 8.490 * [backup-simplify]: Simplify (- 0) into 0 8.490 * [backup-simplify]: Simplify (+ 0 0) into 0 8.490 * [taylor]: Taking taylor expansion of 0 in n 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [taylor]: Taking taylor expansion of 0 in M 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (/ 1 K) (+ (/ 1 m) (/ 1 n))))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.491 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 8.491 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.491 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.491 * [taylor]: Taking taylor expansion of 1/2 in M 8.491 * [backup-simplify]: Simplify 1/2 into 1/2 8.491 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.491 * [taylor]: Taking taylor expansion of (* m K) in M 8.491 * [taylor]: Taking taylor expansion of m in M 8.491 * [backup-simplify]: Simplify m into m 8.492 * [taylor]: Taking taylor expansion of K in M 8.492 * [backup-simplify]: Simplify K into K 8.492 * [backup-simplify]: Simplify (* m K) into (* m K) 8.492 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.492 * [taylor]: Taking taylor expansion of 1/2 in M 8.492 * [backup-simplify]: Simplify 1/2 into 1/2 8.492 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.492 * [taylor]: Taking taylor expansion of (* K n) in M 8.492 * [taylor]: Taking taylor expansion of K in M 8.492 * [backup-simplify]: Simplify K into K 8.492 * [taylor]: Taking taylor expansion of n in M 8.492 * [backup-simplify]: Simplify n into n 8.492 * [backup-simplify]: Simplify (* K n) into (* K n) 8.492 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.492 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.492 * [taylor]: Taking taylor expansion of M in M 8.492 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify 1 into 1 8.493 * [backup-simplify]: Simplify (/ 1 1) into 1 8.493 * [backup-simplify]: Simplify (- 1) into -1 8.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.494 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.494 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.494 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.494 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.494 * [taylor]: Taking taylor expansion of 1/2 in n 8.494 * [backup-simplify]: Simplify 1/2 into 1/2 8.494 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.494 * [taylor]: Taking taylor expansion of (* m K) in n 8.494 * [taylor]: Taking taylor expansion of m in n 8.494 * [backup-simplify]: Simplify m into m 8.494 * [taylor]: Taking taylor expansion of K in n 8.494 * [backup-simplify]: Simplify K into K 8.494 * [backup-simplify]: Simplify (* m K) into (* m K) 8.494 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.494 * [taylor]: Taking taylor expansion of 1/2 in n 8.494 * [backup-simplify]: Simplify 1/2 into 1/2 8.494 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.495 * [taylor]: Taking taylor expansion of (* K n) in n 8.495 * [taylor]: Taking taylor expansion of K in n 8.495 * [backup-simplify]: Simplify K into K 8.495 * [taylor]: Taking taylor expansion of n in n 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (* K 0) into 0 8.495 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.495 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.495 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.495 * [taylor]: Taking taylor expansion of M in n 8.495 * [backup-simplify]: Simplify M into M 8.495 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.495 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.496 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.496 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.496 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.496 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.496 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.496 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.496 * [taylor]: Taking taylor expansion of 1/2 in m 8.496 * [backup-simplify]: Simplify 1/2 into 1/2 8.496 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.496 * [taylor]: Taking taylor expansion of (* m K) in m 8.496 * [taylor]: Taking taylor expansion of m in m 8.496 * [backup-simplify]: Simplify 0 into 0 8.496 * [backup-simplify]: Simplify 1 into 1 8.496 * [taylor]: Taking taylor expansion of K in m 8.496 * [backup-simplify]: Simplify K into K 8.496 * [backup-simplify]: Simplify (* 0 K) into 0 8.497 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.497 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.497 * [taylor]: Taking taylor expansion of 1/2 in m 8.497 * [backup-simplify]: Simplify 1/2 into 1/2 8.497 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.497 * [taylor]: Taking taylor expansion of (* K n) in m 8.497 * [taylor]: Taking taylor expansion of K in m 8.497 * [backup-simplify]: Simplify K into K 8.497 * [taylor]: Taking taylor expansion of n in m 8.497 * [backup-simplify]: Simplify n into n 8.497 * [backup-simplify]: Simplify (* K n) into (* K n) 8.497 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.497 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.497 * [taylor]: Taking taylor expansion of M in m 8.497 * [backup-simplify]: Simplify M into M 8.498 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.498 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.498 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.498 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.498 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.498 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.498 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.498 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.498 * [taylor]: Taking taylor expansion of 1/2 in K 8.498 * [backup-simplify]: Simplify 1/2 into 1/2 8.498 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.498 * [taylor]: Taking taylor expansion of (* m K) in K 8.498 * [taylor]: Taking taylor expansion of m in K 8.498 * [backup-simplify]: Simplify m into m 8.499 * [taylor]: Taking taylor expansion of K in K 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [backup-simplify]: Simplify (* m 0) into 0 8.499 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.499 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.499 * [taylor]: Taking taylor expansion of 1/2 in K 8.499 * [backup-simplify]: Simplify 1/2 into 1/2 8.499 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.499 * [taylor]: Taking taylor expansion of (* K n) in K 8.499 * [taylor]: Taking taylor expansion of K in K 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [taylor]: Taking taylor expansion of n in K 8.499 * [backup-simplify]: Simplify n into n 8.499 * [backup-simplify]: Simplify (* 0 n) into 0 8.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.500 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.500 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.500 * [taylor]: Taking taylor expansion of M in K 8.500 * [backup-simplify]: Simplify M into M 8.500 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.500 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.500 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.500 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.501 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.501 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.501 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 8.501 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 8.501 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.501 * [taylor]: Taking taylor expansion of 1/2 in K 8.501 * [backup-simplify]: Simplify 1/2 into 1/2 8.501 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.501 * [taylor]: Taking taylor expansion of (* m K) in K 8.501 * [taylor]: Taking taylor expansion of m in K 8.501 * [backup-simplify]: Simplify m into m 8.501 * [taylor]: Taking taylor expansion of K in K 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 1 into 1 8.501 * [backup-simplify]: Simplify (* m 0) into 0 8.502 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.502 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.502 * [taylor]: Taking taylor expansion of 1/2 in K 8.502 * [backup-simplify]: Simplify 1/2 into 1/2 8.502 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.502 * [taylor]: Taking taylor expansion of (* K n) in K 8.502 * [taylor]: Taking taylor expansion of K in K 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [taylor]: Taking taylor expansion of n in K 8.502 * [backup-simplify]: Simplify n into n 8.502 * [backup-simplify]: Simplify (* 0 n) into 0 8.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.503 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.503 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.503 * [taylor]: Taking taylor expansion of M in K 8.503 * [backup-simplify]: Simplify M into M 8.503 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.503 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.503 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.503 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.503 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.504 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.504 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 8.504 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 8.504 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.504 * [taylor]: Taking taylor expansion of 1/2 in m 8.504 * [backup-simplify]: Simplify 1/2 into 1/2 8.504 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.504 * [taylor]: Taking taylor expansion of (* m K) in m 8.504 * [taylor]: Taking taylor expansion of m in m 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 1 into 1 8.504 * [taylor]: Taking taylor expansion of K in m 8.504 * [backup-simplify]: Simplify K into K 8.504 * [backup-simplify]: Simplify (* 0 K) into 0 8.505 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.505 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.505 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.505 * [taylor]: Taking taylor expansion of 1/2 in m 8.505 * [backup-simplify]: Simplify 1/2 into 1/2 8.505 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.505 * [taylor]: Taking taylor expansion of (* K n) in m 8.505 * [taylor]: Taking taylor expansion of K in m 8.505 * [backup-simplify]: Simplify K into K 8.505 * [taylor]: Taking taylor expansion of n in m 8.505 * [backup-simplify]: Simplify n into n 8.505 * [backup-simplify]: Simplify (* K n) into (* K n) 8.505 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.505 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.505 * [taylor]: Taking taylor expansion of M in m 8.505 * [backup-simplify]: Simplify M into M 8.505 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.506 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.506 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.506 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.506 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.506 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 8.506 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 8.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.506 * [taylor]: Taking taylor expansion of 1/2 in n 8.506 * [backup-simplify]: Simplify 1/2 into 1/2 8.506 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.506 * [taylor]: Taking taylor expansion of (* m K) in n 8.506 * [taylor]: Taking taylor expansion of m in n 8.506 * [backup-simplify]: Simplify m into m 8.506 * [taylor]: Taking taylor expansion of K in n 8.506 * [backup-simplify]: Simplify K into K 8.507 * [backup-simplify]: Simplify (* m K) into (* m K) 8.507 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.507 * [taylor]: Taking taylor expansion of 1/2 in n 8.507 * [backup-simplify]: Simplify 1/2 into 1/2 8.507 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.507 * [taylor]: Taking taylor expansion of (* K n) in n 8.507 * [taylor]: Taking taylor expansion of K in n 8.507 * [backup-simplify]: Simplify K into K 8.507 * [taylor]: Taking taylor expansion of n in n 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [backup-simplify]: Simplify (* K 0) into 0 8.507 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.507 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.507 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.508 * [taylor]: Taking taylor expansion of M in n 8.508 * [backup-simplify]: Simplify M into M 8.508 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.508 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.508 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.508 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 8.508 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.508 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 8.508 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 8.508 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.508 * [taylor]: Taking taylor expansion of 1/2 in M 8.508 * [backup-simplify]: Simplify 1/2 into 1/2 8.508 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.509 * [taylor]: Taking taylor expansion of (* m K) in M 8.509 * [taylor]: Taking taylor expansion of m in M 8.509 * [backup-simplify]: Simplify m into m 8.509 * [taylor]: Taking taylor expansion of K in M 8.509 * [backup-simplify]: Simplify K into K 8.509 * [backup-simplify]: Simplify (* m K) into (* m K) 8.509 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.509 * [taylor]: Taking taylor expansion of 1/2 in M 8.509 * [backup-simplify]: Simplify 1/2 into 1/2 8.509 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.509 * [taylor]: Taking taylor expansion of (* K n) in M 8.509 * [taylor]: Taking taylor expansion of K in M 8.509 * [backup-simplify]: Simplify K into K 8.509 * [taylor]: Taking taylor expansion of n in M 8.509 * [backup-simplify]: Simplify n into n 8.509 * [backup-simplify]: Simplify (* K n) into (* K n) 8.509 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.509 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.509 * [taylor]: Taking taylor expansion of M in M 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.510 * [backup-simplify]: Simplify (- 1) into -1 8.511 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.511 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.511 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 8.511 * [taylor]: Taking taylor expansion of 0 in m 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [taylor]: Taking taylor expansion of 0 in n 8.511 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in M 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in n 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in M 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in M 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in m 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in n 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in M 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in n 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [taylor]: Taking taylor expansion of 0 in M 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.513 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.513 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 8.513 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.513 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.513 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.513 * [taylor]: Taking taylor expansion of M in M 8.513 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [backup-simplify]: Simplify (/ 1 1) into 1 8.514 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.514 * [taylor]: Taking taylor expansion of 1/2 in M 8.514 * [backup-simplify]: Simplify 1/2 into 1/2 8.514 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.514 * [taylor]: Taking taylor expansion of (* m K) in M 8.514 * [taylor]: Taking taylor expansion of m in M 8.514 * [backup-simplify]: Simplify m into m 8.514 * [taylor]: Taking taylor expansion of K in M 8.514 * [backup-simplify]: Simplify K into K 8.514 * [backup-simplify]: Simplify (* m K) into (* m K) 8.514 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.514 * [taylor]: Taking taylor expansion of 1/2 in M 8.515 * [backup-simplify]: Simplify 1/2 into 1/2 8.515 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.515 * [taylor]: Taking taylor expansion of (* K n) in M 8.515 * [taylor]: Taking taylor expansion of K in M 8.515 * [backup-simplify]: Simplify K into K 8.515 * [taylor]: Taking taylor expansion of n in M 8.515 * [backup-simplify]: Simplify n into n 8.515 * [backup-simplify]: Simplify (* K n) into (* K n) 8.515 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.515 * [backup-simplify]: Simplify (+ 1 0) into 1 8.516 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.516 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.516 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.516 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.516 * [taylor]: Taking taylor expansion of M in n 8.516 * [backup-simplify]: Simplify M into M 8.516 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.516 * [taylor]: Taking taylor expansion of 1/2 in n 8.516 * [backup-simplify]: Simplify 1/2 into 1/2 8.516 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.516 * [taylor]: Taking taylor expansion of (* m K) in n 8.516 * [taylor]: Taking taylor expansion of m in n 8.516 * [backup-simplify]: Simplify m into m 8.516 * [taylor]: Taking taylor expansion of K in n 8.516 * [backup-simplify]: Simplify K into K 8.516 * [backup-simplify]: Simplify (* m K) into (* m K) 8.516 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.516 * [taylor]: Taking taylor expansion of 1/2 in n 8.516 * [backup-simplify]: Simplify 1/2 into 1/2 8.516 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.516 * [taylor]: Taking taylor expansion of (* K n) in n 8.517 * [taylor]: Taking taylor expansion of K in n 8.517 * [backup-simplify]: Simplify K into K 8.517 * [taylor]: Taking taylor expansion of n in n 8.517 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify 1 into 1 8.517 * [backup-simplify]: Simplify (* K 0) into 0 8.517 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.517 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.517 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.517 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.517 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.518 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.518 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.518 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.518 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.518 * [taylor]: Taking taylor expansion of M in m 8.518 * [backup-simplify]: Simplify M into M 8.518 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.518 * [taylor]: Taking taylor expansion of 1/2 in m 8.518 * [backup-simplify]: Simplify 1/2 into 1/2 8.518 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.518 * [taylor]: Taking taylor expansion of (* m K) in m 8.518 * [taylor]: Taking taylor expansion of m in m 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 1 into 1 8.518 * [taylor]: Taking taylor expansion of K in m 8.518 * [backup-simplify]: Simplify K into K 8.518 * [backup-simplify]: Simplify (* 0 K) into 0 8.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.519 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.519 * [taylor]: Taking taylor expansion of 1/2 in m 8.519 * [backup-simplify]: Simplify 1/2 into 1/2 8.519 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.519 * [taylor]: Taking taylor expansion of (* K n) in m 8.519 * [taylor]: Taking taylor expansion of K in m 8.519 * [backup-simplify]: Simplify K into K 8.519 * [taylor]: Taking taylor expansion of n in m 8.519 * [backup-simplify]: Simplify n into n 8.519 * [backup-simplify]: Simplify (* K n) into (* K n) 8.519 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.519 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.520 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.520 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.520 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.520 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.520 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.520 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.520 * [taylor]: Taking taylor expansion of M in K 8.520 * [backup-simplify]: Simplify M into M 8.520 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.520 * [taylor]: Taking taylor expansion of 1/2 in K 8.520 * [backup-simplify]: Simplify 1/2 into 1/2 8.520 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.520 * [taylor]: Taking taylor expansion of (* m K) in K 8.520 * [taylor]: Taking taylor expansion of m in K 8.520 * [backup-simplify]: Simplify m into m 8.520 * [taylor]: Taking taylor expansion of K in K 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 1 into 1 8.521 * [backup-simplify]: Simplify (* m 0) into 0 8.521 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.521 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.521 * [taylor]: Taking taylor expansion of 1/2 in K 8.521 * [backup-simplify]: Simplify 1/2 into 1/2 8.521 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.521 * [taylor]: Taking taylor expansion of (* K n) in K 8.521 * [taylor]: Taking taylor expansion of K in K 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 1 into 1 8.521 * [taylor]: Taking taylor expansion of n in K 8.521 * [backup-simplify]: Simplify n into n 8.521 * [backup-simplify]: Simplify (* 0 n) into 0 8.522 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.522 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.522 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.522 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.522 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.522 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.523 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.523 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 8.523 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 8.523 * [taylor]: Taking taylor expansion of (/ 1 M) in K 8.523 * [taylor]: Taking taylor expansion of M in K 8.523 * [backup-simplify]: Simplify M into M 8.523 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.523 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 8.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 8.523 * [taylor]: Taking taylor expansion of 1/2 in K 8.523 * [backup-simplify]: Simplify 1/2 into 1/2 8.523 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 8.523 * [taylor]: Taking taylor expansion of (* m K) in K 8.523 * [taylor]: Taking taylor expansion of m in K 8.523 * [backup-simplify]: Simplify m into m 8.523 * [taylor]: Taking taylor expansion of K in K 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.523 * [backup-simplify]: Simplify (* m 0) into 0 8.524 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 8.524 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 8.524 * [taylor]: Taking taylor expansion of 1/2 in K 8.524 * [backup-simplify]: Simplify 1/2 into 1/2 8.524 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 8.524 * [taylor]: Taking taylor expansion of (* K n) in K 8.524 * [taylor]: Taking taylor expansion of K in K 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [taylor]: Taking taylor expansion of n in K 8.524 * [backup-simplify]: Simplify n into n 8.524 * [backup-simplify]: Simplify (* 0 n) into 0 8.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 8.525 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.525 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 8.525 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.525 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.525 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 8.526 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.526 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 8.526 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 8.526 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.526 * [taylor]: Taking taylor expansion of M in m 8.526 * [backup-simplify]: Simplify M into M 8.526 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.526 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 8.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 8.526 * [taylor]: Taking taylor expansion of 1/2 in m 8.526 * [backup-simplify]: Simplify 1/2 into 1/2 8.526 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 8.526 * [taylor]: Taking taylor expansion of (* m K) in m 8.526 * [taylor]: Taking taylor expansion of m in m 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [taylor]: Taking taylor expansion of K in m 8.526 * [backup-simplify]: Simplify K into K 8.526 * [backup-simplify]: Simplify (* 0 K) into 0 8.527 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 8.527 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 8.527 * [taylor]: Taking taylor expansion of 1/2 in m 8.527 * [backup-simplify]: Simplify 1/2 into 1/2 8.527 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 8.527 * [taylor]: Taking taylor expansion of (* K n) in m 8.527 * [taylor]: Taking taylor expansion of K in m 8.527 * [backup-simplify]: Simplify K into K 8.527 * [taylor]: Taking taylor expansion of n in m 8.527 * [backup-simplify]: Simplify n into n 8.527 * [backup-simplify]: Simplify (* K n) into (* K n) 8.527 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.527 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.528 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 8.528 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.528 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.528 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 8.528 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 8.528 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.528 * [taylor]: Taking taylor expansion of M in n 8.528 * [backup-simplify]: Simplify M into M 8.528 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.528 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 8.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 8.528 * [taylor]: Taking taylor expansion of 1/2 in n 8.528 * [backup-simplify]: Simplify 1/2 into 1/2 8.528 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 8.528 * [taylor]: Taking taylor expansion of (* m K) in n 8.528 * [taylor]: Taking taylor expansion of m in n 8.528 * [backup-simplify]: Simplify m into m 8.529 * [taylor]: Taking taylor expansion of K in n 8.529 * [backup-simplify]: Simplify K into K 8.529 * [backup-simplify]: Simplify (* m K) into (* m K) 8.529 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 8.529 * [taylor]: Taking taylor expansion of 1/2 in n 8.529 * [backup-simplify]: Simplify 1/2 into 1/2 8.529 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 8.529 * [taylor]: Taking taylor expansion of (* K n) in n 8.529 * [taylor]: Taking taylor expansion of K in n 8.529 * [backup-simplify]: Simplify K into K 8.529 * [taylor]: Taking taylor expansion of n in n 8.529 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify 1 into 1 8.529 * [backup-simplify]: Simplify (* K 0) into 0 8.529 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 8.529 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.530 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 8.530 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 8.530 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 8.530 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.530 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 8.530 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 8.530 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.530 * [taylor]: Taking taylor expansion of M in M 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 1 into 1 8.531 * [backup-simplify]: Simplify (/ 1 1) into 1 8.531 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 8.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 8.531 * [taylor]: Taking taylor expansion of 1/2 in M 8.531 * [backup-simplify]: Simplify 1/2 into 1/2 8.531 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 8.531 * [taylor]: Taking taylor expansion of (* m K) in M 8.531 * [taylor]: Taking taylor expansion of m in M 8.531 * [backup-simplify]: Simplify m into m 8.531 * [taylor]: Taking taylor expansion of K in M 8.531 * [backup-simplify]: Simplify K into K 8.531 * [backup-simplify]: Simplify (* m K) into (* m K) 8.531 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 8.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 8.531 * [taylor]: Taking taylor expansion of 1/2 in M 8.531 * [backup-simplify]: Simplify 1/2 into 1/2 8.531 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 8.531 * [taylor]: Taking taylor expansion of (* K n) in M 8.531 * [taylor]: Taking taylor expansion of K in M 8.531 * [backup-simplify]: Simplify K into K 8.531 * [taylor]: Taking taylor expansion of n in M 8.531 * [backup-simplify]: Simplify n into n 8.531 * [backup-simplify]: Simplify (* K n) into (* K n) 8.531 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 8.532 * [backup-simplify]: Simplify (+ 1 0) into 1 8.532 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.532 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 8.532 * [taylor]: Taking taylor expansion of 0 in m 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in n 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in M 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in n 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in M 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in M 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in m 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in n 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in M 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in n 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [taylor]: Taking taylor expansion of 0 in M 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 8.534 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 8.534 * [backup-simplify]: Simplify (pow (- (/ (+ m n) 2) M) 2) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 8.534 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 8.534 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 8.534 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.534 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.534 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.534 * [taylor]: Taking taylor expansion of 1/2 in M 8.534 * [backup-simplify]: Simplify 1/2 into 1/2 8.534 * [taylor]: Taking taylor expansion of m in M 8.534 * [backup-simplify]: Simplify m into m 8.534 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.534 * [taylor]: Taking taylor expansion of 1/2 in M 8.534 * [backup-simplify]: Simplify 1/2 into 1/2 8.534 * [taylor]: Taking taylor expansion of n in M 8.534 * [backup-simplify]: Simplify n into n 8.534 * [taylor]: Taking taylor expansion of M in M 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 1 into 1 8.534 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 8.535 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.535 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 8.535 * [backup-simplify]: Simplify (- 0) into 0 8.535 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 8.535 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 8.535 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.535 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.535 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.535 * [taylor]: Taking taylor expansion of 1/2 in n 8.535 * [backup-simplify]: Simplify 1/2 into 1/2 8.535 * [taylor]: Taking taylor expansion of m in n 8.535 * [backup-simplify]: Simplify m into m 8.535 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.535 * [taylor]: Taking taylor expansion of 1/2 in n 8.535 * [backup-simplify]: Simplify 1/2 into 1/2 8.536 * [taylor]: Taking taylor expansion of n in n 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.536 * [taylor]: Taking taylor expansion of M in n 8.536 * [backup-simplify]: Simplify M into M 8.536 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 8.536 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.536 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 8.537 * [backup-simplify]: Simplify (- M) into (- M) 8.537 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 8.537 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 8.537 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.537 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.537 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.537 * [taylor]: Taking taylor expansion of 1/2 in m 8.537 * [backup-simplify]: Simplify 1/2 into 1/2 8.537 * [taylor]: Taking taylor expansion of m in m 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.537 * [taylor]: Taking taylor expansion of 1/2 in m 8.537 * [backup-simplify]: Simplify 1/2 into 1/2 8.537 * [taylor]: Taking taylor expansion of n in m 8.537 * [backup-simplify]: Simplify n into n 8.537 * [taylor]: Taking taylor expansion of M in m 8.537 * [backup-simplify]: Simplify M into M 8.537 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.537 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.538 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.538 * [backup-simplify]: Simplify (- M) into (- M) 8.538 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.538 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 8.538 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.538 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.538 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.538 * [taylor]: Taking taylor expansion of 1/2 in m 8.538 * [backup-simplify]: Simplify 1/2 into 1/2 8.538 * [taylor]: Taking taylor expansion of m in m 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.538 * [taylor]: Taking taylor expansion of 1/2 in m 8.538 * [backup-simplify]: Simplify 1/2 into 1/2 8.538 * [taylor]: Taking taylor expansion of n in m 8.538 * [backup-simplify]: Simplify n into n 8.538 * [taylor]: Taking taylor expansion of M in m 8.538 * [backup-simplify]: Simplify M into M 8.538 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.539 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.539 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.539 * [backup-simplify]: Simplify (- M) into (- M) 8.539 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.539 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 8.539 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 8.539 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 8.539 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.539 * [taylor]: Taking taylor expansion of 1/2 in n 8.539 * [backup-simplify]: Simplify 1/2 into 1/2 8.539 * [taylor]: Taking taylor expansion of n in n 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 1 into 1 8.539 * [taylor]: Taking taylor expansion of M in n 8.539 * [backup-simplify]: Simplify M into M 8.540 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.540 * [backup-simplify]: Simplify (- M) into (- M) 8.540 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.540 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 8.540 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.540 * [taylor]: Taking taylor expansion of M in M 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.542 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.542 * [backup-simplify]: Simplify (- 0) into 0 8.542 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.543 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 8.543 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 8.543 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.543 * [taylor]: Taking taylor expansion of 1/2 in n 8.543 * [backup-simplify]: Simplify 1/2 into 1/2 8.543 * [taylor]: Taking taylor expansion of n in n 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.543 * [taylor]: Taking taylor expansion of M in n 8.543 * [backup-simplify]: Simplify M into M 8.543 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.543 * [backup-simplify]: Simplify (- M) into (- M) 8.543 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.543 * [taylor]: Taking taylor expansion of (- M) in M 8.543 * [taylor]: Taking taylor expansion of M in M 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (- 0) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.545 * [backup-simplify]: Simplify (- 0) into 0 8.545 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.545 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 8.545 * [taylor]: Taking taylor expansion of (- M) in M 8.546 * [taylor]: Taking taylor expansion of M in M 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 1 into 1 8.546 * [backup-simplify]: Simplify (- 0) into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.548 * [backup-simplify]: Simplify (+ 0 0) into 0 8.548 * [backup-simplify]: Simplify (- 0) into 0 8.549 * [backup-simplify]: Simplify (+ 0 0) into 0 8.549 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 8.549 * [taylor]: Taking taylor expansion of 1/4 in n 8.549 * [backup-simplify]: Simplify 1/4 into 1/4 8.549 * [taylor]: Taking taylor expansion of 1/4 in M 8.549 * [backup-simplify]: Simplify 1/4 into 1/4 8.549 * [backup-simplify]: Simplify 1/4 into 1/4 8.550 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.550 * [backup-simplify]: Simplify (- 0) into 0 8.551 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.551 * [taylor]: Taking taylor expansion of 1/2 in M 8.551 * [backup-simplify]: Simplify 1/2 into 1/2 8.551 * [backup-simplify]: Simplify 1/2 into 1/2 8.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.552 * [backup-simplify]: Simplify (- 0) into 0 8.552 * [backup-simplify]: Simplify (+ 0 0) into 0 8.553 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 8.553 * [taylor]: Taking taylor expansion of 1/4 in M 8.553 * [backup-simplify]: Simplify 1/4 into 1/4 8.553 * [backup-simplify]: Simplify 1/4 into 1/4 8.553 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 8.554 * [backup-simplify]: Simplify (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 8.554 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 8.554 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 8.554 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.554 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.554 * [taylor]: Taking taylor expansion of 1/2 in M 8.554 * [backup-simplify]: Simplify 1/2 into 1/2 8.554 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.554 * [taylor]: Taking taylor expansion of m in M 8.554 * [backup-simplify]: Simplify m into m 8.554 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.554 * [taylor]: Taking taylor expansion of 1/2 in M 8.554 * [backup-simplify]: Simplify 1/2 into 1/2 8.554 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.554 * [taylor]: Taking taylor expansion of n in M 8.554 * [backup-simplify]: Simplify n into n 8.554 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.554 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.554 * [taylor]: Taking taylor expansion of M in M 8.554 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [backup-simplify]: Simplify (- 1) into -1 8.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.555 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 8.555 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.555 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.556 * [taylor]: Taking taylor expansion of 1/2 in n 8.556 * [backup-simplify]: Simplify 1/2 into 1/2 8.556 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.556 * [taylor]: Taking taylor expansion of m in n 8.556 * [backup-simplify]: Simplify m into m 8.556 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.556 * [taylor]: Taking taylor expansion of 1/2 in n 8.556 * [backup-simplify]: Simplify 1/2 into 1/2 8.556 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.556 * [taylor]: Taking taylor expansion of n in n 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (/ 1 1) into 1 8.556 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.556 * [taylor]: Taking taylor expansion of M in n 8.556 * [backup-simplify]: Simplify M into M 8.556 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.557 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.557 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.558 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.558 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 8.558 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.558 * [taylor]: Taking taylor expansion of 1/2 in m 8.558 * [backup-simplify]: Simplify 1/2 into 1/2 8.558 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.558 * [taylor]: Taking taylor expansion of m in m 8.558 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify 1 into 1 8.559 * [backup-simplify]: Simplify (/ 1 1) into 1 8.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.559 * [taylor]: Taking taylor expansion of 1/2 in m 8.559 * [backup-simplify]: Simplify 1/2 into 1/2 8.559 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.559 * [taylor]: Taking taylor expansion of n in m 8.559 * [backup-simplify]: Simplify n into n 8.559 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.559 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.559 * [taylor]: Taking taylor expansion of M in m 8.559 * [backup-simplify]: Simplify M into M 8.559 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.559 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.560 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.561 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.561 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 8.561 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.561 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.561 * [taylor]: Taking taylor expansion of 1/2 in m 8.561 * [backup-simplify]: Simplify 1/2 into 1/2 8.561 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.561 * [taylor]: Taking taylor expansion of m in m 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.562 * [taylor]: Taking taylor expansion of 1/2 in m 8.562 * [backup-simplify]: Simplify 1/2 into 1/2 8.562 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.562 * [taylor]: Taking taylor expansion of n in m 8.562 * [backup-simplify]: Simplify n into n 8.562 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.562 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.562 * [taylor]: Taking taylor expansion of M in m 8.562 * [backup-simplify]: Simplify M into M 8.562 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.562 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.563 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.563 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.564 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.564 * [taylor]: Taking taylor expansion of 1/4 in n 8.564 * [backup-simplify]: Simplify 1/4 into 1/4 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.566 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.566 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.566 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.566 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.566 * [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)) 8.566 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.566 * [taylor]: Taking taylor expansion of 1/2 in n 8.566 * [backup-simplify]: Simplify 1/2 into 1/2 8.566 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.566 * [taylor]: Taking taylor expansion of n in n 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.567 * [backup-simplify]: Simplify (/ 1 1) into 1 8.567 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.567 * [taylor]: Taking taylor expansion of M in n 8.567 * [backup-simplify]: Simplify M into M 8.567 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.570 * [backup-simplify]: Simplify (+ 0 0) into 0 8.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.571 * [backup-simplify]: Simplify (- 0) into 0 8.571 * [backup-simplify]: Simplify (+ 0 0) into 0 8.573 * [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))) 8.573 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 8.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 8.573 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.573 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.573 * [taylor]: Taking taylor expansion of M in n 8.573 * [backup-simplify]: Simplify M into M 8.573 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.573 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.573 * [taylor]: Taking taylor expansion of 1/4 in n 8.573 * [backup-simplify]: Simplify 1/4 into 1/4 8.573 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.573 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.573 * [taylor]: Taking taylor expansion of n in n 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (* 1 1) into 1 8.574 * [backup-simplify]: Simplify (/ 1 1) into 1 8.574 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.574 * [taylor]: Taking taylor expansion of (* M n) in n 8.574 * [taylor]: Taking taylor expansion of M in n 8.574 * [backup-simplify]: Simplify M into M 8.574 * [taylor]: Taking taylor expansion of n in n 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (* M 0) into 0 8.575 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.575 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.575 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.576 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.576 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.576 * [taylor]: Taking taylor expansion of 1/4 in M 8.576 * [backup-simplify]: Simplify 1/4 into 1/4 8.577 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.577 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.577 * [taylor]: Taking taylor expansion of 1/2 in M 8.577 * [backup-simplify]: Simplify 1/2 into 1/2 8.577 * [taylor]: Taking taylor expansion of 1/4 in M 8.577 * [backup-simplify]: Simplify 1/4 into 1/4 8.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.581 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.582 * [backup-simplify]: Simplify (- 0) into 0 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.584 * [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 8.584 * [taylor]: Taking taylor expansion of 0 in n 8.584 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.587 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.587 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.587 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.587 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.587 * [taylor]: Taking taylor expansion of M in M 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (/ 1 1) into 1 8.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.589 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.589 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.589 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.590 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.590 * [taylor]: Taking taylor expansion of M in M 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [backup-simplify]: Simplify (/ 1 1) into 1 8.590 * [taylor]: Taking taylor expansion of 0 in M 8.590 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 0) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.596 * [backup-simplify]: Simplify (- 0) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [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 8.598 * [taylor]: Taking taylor expansion of 0 in n 8.598 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.602 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 8.602 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 8.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.603 * [backup-simplify]: Simplify (- 0) into 0 8.603 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 8.603 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.603 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.603 * [taylor]: Taking taylor expansion of M in M 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (* 1 1) into 1 8.604 * [backup-simplify]: Simplify (/ 1 1) into 1 8.604 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.607 * [backup-simplify]: Simplify (- 0) into 0 8.611 * [backup-simplify]: Simplify (+ 0 0) into 0 8.611 * [taylor]: Taking taylor expansion of 0 in M 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [taylor]: Taking taylor expansion of 0 in M 8.611 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (- 1) into -1 8.612 * [backup-simplify]: Simplify -1 into -1 8.613 * [backup-simplify]: Simplify (- 1) into -1 8.613 * [backup-simplify]: Simplify -1 into -1 8.614 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.614 * [backup-simplify]: Simplify (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 8.614 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 8.614 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 8.614 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 8.614 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.614 * [taylor]: Taking taylor expansion of M in M 8.614 * [backup-simplify]: Simplify 0 into 0 8.614 * [backup-simplify]: Simplify 1 into 1 8.615 * [backup-simplify]: Simplify (/ 1 1) into 1 8.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.615 * [taylor]: Taking taylor expansion of 1/2 in M 8.615 * [backup-simplify]: Simplify 1/2 into 1/2 8.615 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.615 * [taylor]: Taking taylor expansion of m in M 8.615 * [backup-simplify]: Simplify m into m 8.615 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.615 * [taylor]: Taking taylor expansion of 1/2 in M 8.615 * [backup-simplify]: Simplify 1/2 into 1/2 8.615 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.615 * [taylor]: Taking taylor expansion of n in M 8.615 * [backup-simplify]: Simplify n into n 8.615 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.616 * [backup-simplify]: Simplify (+ 1 0) into 1 8.616 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 8.616 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 8.616 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.616 * [taylor]: Taking taylor expansion of M in n 8.616 * [backup-simplify]: Simplify M into M 8.616 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.616 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.616 * [taylor]: Taking taylor expansion of 1/2 in n 8.616 * [backup-simplify]: Simplify 1/2 into 1/2 8.616 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.616 * [taylor]: Taking taylor expansion of m in n 8.616 * [backup-simplify]: Simplify m into m 8.616 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.616 * [taylor]: Taking taylor expansion of 1/2 in n 8.616 * [backup-simplify]: Simplify 1/2 into 1/2 8.616 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.616 * [taylor]: Taking taylor expansion of n in n 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (/ 1 1) into 1 8.617 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.618 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 8.618 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.619 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.619 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 8.619 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.619 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.619 * [taylor]: Taking taylor expansion of M in m 8.619 * [backup-simplify]: Simplify M into M 8.619 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.619 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.619 * [taylor]: Taking taylor expansion of 1/2 in m 8.619 * [backup-simplify]: Simplify 1/2 into 1/2 8.619 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.619 * [taylor]: Taking taylor expansion of m in m 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (/ 1 1) into 1 8.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.619 * [taylor]: Taking taylor expansion of 1/2 in m 8.620 * [backup-simplify]: Simplify 1/2 into 1/2 8.620 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.620 * [taylor]: Taking taylor expansion of n in m 8.620 * [backup-simplify]: Simplify n into n 8.620 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.620 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.621 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.621 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.621 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 8.622 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.622 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.622 * [taylor]: Taking taylor expansion of M in m 8.622 * [backup-simplify]: Simplify M into M 8.622 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.622 * [taylor]: Taking taylor expansion of 1/2 in m 8.622 * [backup-simplify]: Simplify 1/2 into 1/2 8.622 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.622 * [taylor]: Taking taylor expansion of m in m 8.622 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (/ 1 1) into 1 8.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.622 * [taylor]: Taking taylor expansion of 1/2 in m 8.622 * [backup-simplify]: Simplify 1/2 into 1/2 8.622 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.622 * [taylor]: Taking taylor expansion of n in m 8.623 * [backup-simplify]: Simplify n into n 8.623 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.623 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.624 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.624 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.625 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 8.625 * [taylor]: Taking taylor expansion of 1/4 in n 8.625 * [backup-simplify]: Simplify 1/4 into 1/4 8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.627 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.627 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.627 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 8.627 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 8.627 * [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)) 8.627 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.627 * [taylor]: Taking taylor expansion of 1/2 in n 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.628 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.628 * [taylor]: Taking taylor expansion of n in n 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.628 * [taylor]: Taking taylor expansion of M in n 8.628 * [backup-simplify]: Simplify M into M 8.628 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.631 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (- 0) into 0 8.632 * [backup-simplify]: Simplify (+ 0 0) into 0 8.634 * [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))) 8.634 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 8.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.634 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.634 * [taylor]: Taking taylor expansion of M in n 8.634 * [backup-simplify]: Simplify M into M 8.634 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.634 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.634 * [taylor]: Taking taylor expansion of 1/4 in n 8.634 * [backup-simplify]: Simplify 1/4 into 1/4 8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.634 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.634 * [taylor]: Taking taylor expansion of n in n 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.635 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.635 * [taylor]: Taking taylor expansion of (* M n) in n 8.635 * [taylor]: Taking taylor expansion of M in n 8.635 * [backup-simplify]: Simplify M into M 8.635 * [taylor]: Taking taylor expansion of n in n 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* M 0) into 0 8.636 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.636 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.636 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.637 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.637 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.637 * [taylor]: Taking taylor expansion of 1/4 in M 8.637 * [backup-simplify]: Simplify 1/4 into 1/4 8.638 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.638 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.638 * [taylor]: Taking taylor expansion of 1/2 in M 8.638 * [backup-simplify]: Simplify 1/2 into 1/2 8.638 * [taylor]: Taking taylor expansion of 1/4 in M 8.638 * [backup-simplify]: Simplify 1/4 into 1/4 8.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.642 * [backup-simplify]: Simplify (+ 0 0) into 0 8.643 * [backup-simplify]: Simplify (- 0) into 0 8.643 * [backup-simplify]: Simplify (+ 0 0) into 0 8.644 * [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 8.644 * [taylor]: Taking taylor expansion of 0 in n 8.644 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.647 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.647 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.647 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.647 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.647 * [taylor]: Taking taylor expansion of M in M 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.648 * [backup-simplify]: Simplify (/ 1 1) into 1 8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.649 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.649 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.649 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.649 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.649 * [taylor]: Taking taylor expansion of M in M 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify 1 into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [taylor]: Taking taylor expansion of 0 in M 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.654 * [backup-simplify]: Simplify (+ 0 0) into 0 8.655 * [backup-simplify]: Simplify (- 0) into 0 8.655 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [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 8.656 * [taylor]: Taking taylor expansion of 0 in n 8.656 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.659 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 8.660 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 8.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.660 * [backup-simplify]: Simplify (- 0) into 0 8.660 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 8.660 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.661 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.661 * [taylor]: Taking taylor expansion of M in M 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify 1 into 1 8.661 * [backup-simplify]: Simplify (* 1 1) into 1 8.661 * [backup-simplify]: Simplify (/ 1 1) into 1 8.661 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.663 * [backup-simplify]: Simplify (- 0) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.664 * [taylor]: Taking taylor expansion of 0 in M 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [taylor]: Taking taylor expansion of 0 in M 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (- 1) into -1 8.664 * [backup-simplify]: Simplify -1 into -1 8.665 * [backup-simplify]: Simplify (- 1) into -1 8.665 * [backup-simplify]: Simplify -1 into -1 8.665 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) 8.666 * [backup-simplify]: Simplify (* K (+ m n)) into (* K (+ m n)) 8.666 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 8.666 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 8.666 * [taylor]: Taking taylor expansion of K in n 8.666 * [backup-simplify]: Simplify K into K 8.666 * [taylor]: Taking taylor expansion of (+ m n) in n 8.666 * [taylor]: Taking taylor expansion of m in n 8.666 * [backup-simplify]: Simplify m into m 8.666 * [taylor]: Taking taylor expansion of n in n 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 8.666 * [taylor]: Taking taylor expansion of K in m 8.666 * [backup-simplify]: Simplify K into K 8.666 * [taylor]: Taking taylor expansion of (+ m n) in m 8.666 * [taylor]: Taking taylor expansion of m in m 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of n in m 8.666 * [backup-simplify]: Simplify n into n 8.666 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 8.666 * [taylor]: Taking taylor expansion of K in K 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of (+ m n) in K 8.666 * [taylor]: Taking taylor expansion of m in K 8.666 * [backup-simplify]: Simplify m into m 8.666 * [taylor]: Taking taylor expansion of n in K 8.666 * [backup-simplify]: Simplify n into n 8.666 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 8.666 * [taylor]: Taking taylor expansion of K in K 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [taylor]: Taking taylor expansion of (+ m n) in K 8.666 * [taylor]: Taking taylor expansion of m in K 8.666 * [backup-simplify]: Simplify m into m 8.666 * [taylor]: Taking taylor expansion of n in K 8.666 * [backup-simplify]: Simplify n into n 8.666 * [backup-simplify]: Simplify (+ m n) into (+ m n) 8.667 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 8.667 * [taylor]: Taking taylor expansion of 0 in m 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [taylor]: Taking taylor expansion of 0 in n 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify (+ 0 0) into 0 8.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 8.667 * [taylor]: Taking taylor expansion of (+ m n) in m 8.667 * [taylor]: Taking taylor expansion of m in m 8.667 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [taylor]: Taking taylor expansion of n in m 8.668 * [backup-simplify]: Simplify n into n 8.668 * [backup-simplify]: Simplify (+ 0 n) into n 8.668 * [taylor]: Taking taylor expansion of n in n 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [taylor]: Taking taylor expansion of 0 in n 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify (+ 0 0) into 0 8.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 8.669 * [taylor]: Taking taylor expansion of 0 in m 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [taylor]: Taking taylor expansion of 0 in n 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (+ 1 0) into 1 8.670 * [taylor]: Taking taylor expansion of 1 in n 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [taylor]: Taking taylor expansion of 0 in n 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 1 into 1 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 8.671 * [taylor]: Taking taylor expansion of 0 in m 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [taylor]: Taking taylor expansion of 0 in n 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [taylor]: Taking taylor expansion of 0 in n 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [taylor]: Taking taylor expansion of 0 in n 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [taylor]: Taking taylor expansion of 0 in n 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* K n)) 8.672 * [backup-simplify]: Simplify (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) into (/ (+ (/ 1 m) (/ 1 n)) K) 8.672 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 8.672 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 8.672 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 8.672 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.672 * [taylor]: Taking taylor expansion of m in n 8.672 * [backup-simplify]: Simplify m into m 8.672 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.673 * [taylor]: Taking taylor expansion of n in n 8.673 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify 1 into 1 8.673 * [backup-simplify]: Simplify (/ 1 1) into 1 8.673 * [taylor]: Taking taylor expansion of K in n 8.673 * [backup-simplify]: Simplify K into K 8.673 * [backup-simplify]: Simplify (+ 0 1) into 1 8.673 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.673 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 8.673 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.673 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.674 * [taylor]: Taking taylor expansion of m in m 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 1 into 1 8.674 * [backup-simplify]: Simplify (/ 1 1) into 1 8.674 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.674 * [taylor]: Taking taylor expansion of n in m 8.674 * [backup-simplify]: Simplify n into n 8.674 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.674 * [taylor]: Taking taylor expansion of K in m 8.674 * [backup-simplify]: Simplify K into K 8.674 * [backup-simplify]: Simplify (+ 1 0) into 1 8.674 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.675 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.675 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.675 * [taylor]: Taking taylor expansion of m in K 8.675 * [backup-simplify]: Simplify m into m 8.675 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.675 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.675 * [taylor]: Taking taylor expansion of n in K 8.675 * [backup-simplify]: Simplify n into n 8.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.675 * [taylor]: Taking taylor expansion of K in K 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify 1 into 1 8.675 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.675 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.675 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.675 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.675 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.675 * [taylor]: Taking taylor expansion of m in K 8.675 * [backup-simplify]: Simplify m into m 8.675 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.675 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.675 * [taylor]: Taking taylor expansion of n in K 8.675 * [backup-simplify]: Simplify n into n 8.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.675 * [taylor]: Taking taylor expansion of K in K 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify 1 into 1 8.675 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.676 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.676 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.676 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.676 * [taylor]: Taking taylor expansion of m in m 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [backup-simplify]: Simplify (/ 1 1) into 1 8.676 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.676 * [taylor]: Taking taylor expansion of n in m 8.676 * [backup-simplify]: Simplify n into n 8.676 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.677 * [backup-simplify]: Simplify (+ 1 0) into 1 8.677 * [taylor]: Taking taylor expansion of 1 in n 8.677 * [backup-simplify]: Simplify 1 into 1 8.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 8.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.677 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 8.678 * [taylor]: Taking taylor expansion of 0 in m 8.678 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.679 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.679 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.679 * [taylor]: Taking taylor expansion of n in n 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (/ 1 1) into 1 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.681 * [taylor]: Taking taylor expansion of 0 in m 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [taylor]: Taking taylor expansion of 0 in n 8.681 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.683 * [backup-simplify]: Simplify (+ 0 0) into 0 8.683 * [taylor]: Taking taylor expansion of 0 in n 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.686 * [taylor]: Taking taylor expansion of 0 in m 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [taylor]: Taking taylor expansion of 0 in n 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [taylor]: Taking taylor expansion of 0 in n 8.686 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.687 * [taylor]: Taking taylor expansion of 0 in n 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* K n)) 8.689 * [backup-simplify]: Simplify (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) into (/ (+ (/ 1 m) (/ 1 n)) K) 8.689 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 8.689 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 8.689 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 8.689 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.689 * [taylor]: Taking taylor expansion of m in n 8.689 * [backup-simplify]: Simplify m into m 8.689 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.689 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.689 * [taylor]: Taking taylor expansion of n in n 8.689 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify 1 into 1 8.690 * [backup-simplify]: Simplify (/ 1 1) into 1 8.690 * [taylor]: Taking taylor expansion of K in n 8.690 * [backup-simplify]: Simplify K into K 8.690 * [backup-simplify]: Simplify (+ 0 1) into 1 8.690 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.690 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 8.690 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.690 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.690 * [taylor]: Taking taylor expansion of m in m 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.691 * [backup-simplify]: Simplify (/ 1 1) into 1 8.691 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.691 * [taylor]: Taking taylor expansion of n in m 8.691 * [backup-simplify]: Simplify n into n 8.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.691 * [taylor]: Taking taylor expansion of K in m 8.691 * [backup-simplify]: Simplify K into K 8.691 * [backup-simplify]: Simplify (+ 1 0) into 1 8.691 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 8.691 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.691 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.691 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.691 * [taylor]: Taking taylor expansion of m in K 8.691 * [backup-simplify]: Simplify m into m 8.691 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.691 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.691 * [taylor]: Taking taylor expansion of n in K 8.691 * [backup-simplify]: Simplify n into n 8.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.691 * [taylor]: Taking taylor expansion of K in K 8.691 * [backup-simplify]: Simplify 0 into 0 8.691 * [backup-simplify]: Simplify 1 into 1 8.692 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.692 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.692 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 8.692 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 8.692 * [taylor]: Taking taylor expansion of (/ 1 m) in K 8.692 * [taylor]: Taking taylor expansion of m in K 8.692 * [backup-simplify]: Simplify m into m 8.692 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.692 * [taylor]: Taking taylor expansion of (/ 1 n) in K 8.692 * [taylor]: Taking taylor expansion of n in K 8.692 * [backup-simplify]: Simplify n into n 8.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.692 * [taylor]: Taking taylor expansion of K in K 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.692 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 8.692 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 8.692 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 8.692 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.692 * [taylor]: Taking taylor expansion of m in m 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (/ 1 1) into 1 8.693 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.693 * [taylor]: Taking taylor expansion of n in m 8.693 * [backup-simplify]: Simplify n into n 8.693 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.693 * [backup-simplify]: Simplify (+ 1 0) into 1 8.693 * [taylor]: Taking taylor expansion of 1 in n 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 8.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.694 * [backup-simplify]: Simplify (+ 0 0) into 0 8.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 8.695 * [taylor]: Taking taylor expansion of 0 in m 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 8.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.695 * [taylor]: Taking taylor expansion of n in n 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify (/ 1 1) into 1 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.698 * [taylor]: Taking taylor expansion of 0 in m 8.698 * [backup-simplify]: Simplify 0 into 0 8.698 * [taylor]: Taking taylor expansion of 0 in n 8.698 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.699 * [taylor]: Taking taylor expansion of 0 in n 8.699 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 8.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.701 * [backup-simplify]: Simplify (+ 0 0) into 0 8.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.703 * [taylor]: Taking taylor expansion of 0 in m 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [taylor]: Taking taylor expansion of 0 in n 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [taylor]: Taking taylor expansion of 0 in n 8.703 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.704 * [backup-simplify]: Simplify (+ 0 0) into 0 8.704 * [taylor]: Taking taylor expansion of 0 in n 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* K n)) 8.706 * * * [progress]: simplifying candidates 8.706 * * * * [progress]: [ 1 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 1) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 2 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 3 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 4 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 5 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) (posit16->real (real->posit16 (* K (+ m n))))) (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 6 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n))))) (sqrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 7 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 8 / 78 ] simplifiying candidate # 8.706 * * * * [progress]: [ 9 / 78 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 10 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.706 * * * * [progress]: [ 11 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 12 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2)) (cos M)) (* (sin (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 13 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) 1) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 14 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 15 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 16 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 17 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 18 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 19 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 20 / 78 ] simplifiying candidate #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 21 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (exp (* (log (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 22 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (exp (* (log (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 23 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) (* 1 2))) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 24 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (pow (- (/ (+ m n) 2) M) (* (cbrt 2) (cbrt 2))) (cbrt 2))) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 25 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (pow (- (/ (+ m n) 2) M) (sqrt 2)) (sqrt 2))) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 26 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (pow (- (/ (+ m n) 2) M) 1) 2)) (- l (fabs (- m n)))))))> 8.707 * * * * [progress]: [ 27 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (pow (cbrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 28 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 29 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow 1 2) (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 30 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow (+ (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (- (sqrt (/ (+ m n) 2)) (sqrt M)) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 31 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 32 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow 1 2) (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 33 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 34 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (pow (pow (- (/ (+ m n) 2) M) 2) 1)) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 35 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (exp (log (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 36 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (log (exp (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 37 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 38 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (cbrt (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 39 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (sqrt (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 40 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* 1 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 41 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (* (pow (- (/ (+ m n) 2) M) (/ 2 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)))) (- l (fabs (- m n)))))))> 8.708 * * * * [progress]: [ 42 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (posit16->real (real->posit16 (pow (- (/ (+ m n) 2) M) 2)))) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 43 / 78 ] simplifiying candidate #real (real->posit16 (pow (* K (+ m n)) 1))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 44 / 78 ] simplifiying candidate #real (real->posit16 (pow (* K (+ m n)) 1))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 45 / 78 ] simplifiying candidate #real (real->posit16 (exp (+ (log K) (log (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 46 / 78 ] simplifiying candidate #real (real->posit16 (exp (log (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 47 / 78 ] simplifiying candidate #real (real->posit16 (log (exp (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 48 / 78 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* K K) K) (* (* (+ m n) (+ m n)) (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 49 / 78 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 50 / 78 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 51 / 78 ] simplifiying candidate #real (real->posit16 (* (sqrt (* K (+ m n))) (sqrt (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 52 / 78 ] simplifiying candidate #real (real->posit16 (* 1 (* K (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 53 / 78 ] simplifiying candidate #real (real->posit16 (* (* (sqrt K) (sqrt (+ m n))) (* (sqrt K) (sqrt (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 54 / 78 ] simplifiying candidate #real (real->posit16 (+ (* K m) (* K n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 55 / 78 ] simplifiying candidate #real (real->posit16 (+ (* m K) (* n K)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 56 / 78 ] simplifiying candidate #real (real->posit16 (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 57 / 78 ] simplifiying candidate #real (real->posit16 (* (* K (sqrt (+ m n))) (sqrt (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.709 * * * * [progress]: [ 58 / 78 ] simplifiying candidate #real (real->posit16 (* (* K 1) (+ m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 59 / 78 ] simplifiying candidate #real (real->posit16 (* (* K 1) (+ m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 60 / 78 ] simplifiying candidate #real (real->posit16 (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 61 / 78 ] simplifiying candidate #real (real->posit16 (* (sqrt K) (* (sqrt K) (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 62 / 78 ] simplifiying candidate #real (real->posit16 (* 1 (* K (+ m n))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 63 / 78 ] simplifiying candidate #real (real->posit16 (/ (* K (+ (pow m 3) (pow n 3))) (+ (* m m) (- (* n n) (* m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 64 / 78 ] simplifiying candidate #real (real->posit16 (/ (* K (- (* m m) (* n n))) (- m n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 65 / 78 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 66 / 78 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 67 / 78 ] simplifiying candidate # 8.710 * * * * [progress]: [ 68 / 78 ] simplifiying candidate # 8.710 * * * * [progress]: [ 69 / 78 ] simplifiying candidate # 8.710 * * * * [progress]: [ 70 / 78 ] simplifiying candidate # 8.710 * * * * [progress]: [ 71 / 78 ] simplifiying candidate # 8.710 * * * * [progress]: [ 72 / 78 ] simplifiying candidate # 8.710 * * * * [progress]: [ 73 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2))))) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 74 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (- (pow M 2) (+ (* m M) (* M n)))) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 75 / 78 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (- (- (pow M 2) (+ (* m M) (* M n)))) (- l (fabs (- m n)))))))> 8.710 * * * * [progress]: [ 76 / 78 ] simplifiying candidate #real (real->posit16 (+ (* m K) (* K n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.711 * * * * [progress]: [ 77 / 78 ] simplifiying candidate #real (real->posit16 (+ (* m K) (* K n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.711 * * * * [progress]: [ 78 / 78 ] simplifiying candidate #real (real->posit16 (+ (* m K) (* K n)))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))> 8.712 * [simplify]: Simplifying: (log (posit16->real (real->posit16 (* K (+ m n))))) (exp (posit16->real (real->posit16 (* K (+ m n))))) (* (cbrt (posit16->real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n))))) (* (* (posit16->real (real->posit16 (* K (+ m n)))) (posit16->real (real->posit16 (* K (+ m n))))) (posit16->real (real->posit16 (* K (+ m n))))) (sqrt (posit16->real (real->posit16 (* K (+ m n))))) (sqrt (posit16->real (real->posit16 (* K (+ m n))))) (real->posit16 (posit16->real (real->posit16 (* K (+ m n))))) (* (cos (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (sin (- M))) (* (cos (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (sin (- M))) (* (cos (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (cos M)) (* (sin (/ (posit16->real (real->posit16 (* K (+ m n)))) 2)) (sin M)) (log (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (exp (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (* (cbrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (* (* (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M)) (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* K (+ m n)))) 2) M))) (* (log (- (/ (+ m n) 2) M)) 2) (* (log (- (/ (+ m n) 2) M)) 2) (* 1 2) (pow (- (/ (+ m n) 2) M) (* (cbrt 2) (cbrt 2))) (pow (- (/ (+ m n) 2) M) (sqrt 2)) (pow (- (/ (+ m n) 2) M) 1) (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (pow 1 2) (pow (- (/ (+ m n) 2) M) 2) (pow (+ (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (- (sqrt (/ (+ m n) 2)) (sqrt M)) 2) (pow (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) 2) (pow 1 2) (pow (- (/ (+ m n) 2) M) 2) (log (pow (- (/ (+ m n) 2) M) 2)) (exp (pow (- (/ (+ m n) 2) M) 2)) (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (* (* (pow (- (/ (+ m n) 2) M) 2) (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)) (pow (- (/ (+ m n) 2) M) (/ 2 2)) (real->posit16 (pow (- (/ (+ m n) 2) M) 2)) (* K (+ m n)) (+ (log K) (log (+ m n))) (log (* K (+ m n))) (exp (* K (+ m n))) (* (* (* K K) K) (* (* (+ m n) (+ m n)) (+ m n))) (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (sqrt (* K (+ m n))) (sqrt (* K (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* K m) (* K n) (* m K) (* n K) (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* K (sqrt (+ m n))) (* K 1) (* K 1) (* (cbrt K) (+ m n)) (* (sqrt K) (+ m n)) (* K (+ m n)) (* K (+ (pow m 3) (pow n 3))) (* K (- (* m m) (* n n))) (real->posit16 (* K (+ m n))) (+ (* m K) (* K n)) (+ (* m K) (* K n)) (+ (* m K) (* K n)) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) (+ (* m K) (* K n)) (+ (* m K) (* K n)) (+ (* m K) (* K n)) 8.714 * * [simplify]: iteration 0: 140 enodes 8.786 * * [simplify]: iteration 1: 358 enodes 8.935 * * [simplify]: iteration 2: 932 enodes 9.192 * * [simplify]: iteration 3: 2009 enodes 9.744 * * [simplify]: iteration complete: 2009 enodes 9.744 * * [simplify]: Extracting #0: cost 53 inf + 0 9.745 * * [simplify]: Extracting #1: cost 273 inf + 3 9.748 * * [simplify]: Extracting #2: cost 565 inf + 1148 9.760 * * [simplify]: Extracting #3: cost 550 inf + 26461 9.789 * * [simplify]: Extracting #4: cost 258 inf + 83495 9.832 * * [simplify]: Extracting #5: cost 52 inf + 126648 9.874 * * [simplify]: Extracting #6: cost 3 inf + 143579 9.913 * * [simplify]: Extracting #7: cost 0 inf + 144338 9.952 * [simplify]: Simplified to: (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (real->posit16 (* (+ m n) K)) (* (cos M) (cos (/ (* (+ m n) K) 2))) (* (sin (- M)) (sin (/ (* (+ m n) K) 2))) (* (cos M) (cos (/ (* (+ m n) K) 2))) (* (sin (- M)) (sin (/ (* (+ m n) K) 2))) (* (cos M) (cos (/ (* (+ m n) K) 2))) (* (sin M) (sin (/ (* (+ m n) K) 2))) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (cos (- (/ (* (+ m n) K) 2) M)) (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M)))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 2 (pow (- (/ (+ m n) 2) M) (* (cbrt 2) (cbrt 2))) (pow (- (/ (+ m n) 2) M) (sqrt 2)) (- (/ (+ m n) 2) M) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (fabs (- (/ (+ m n) 2) M)) (fabs (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (+ m n) K) (log (* (+ m n) K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* K m) (* K n) (* K m) (* n K) (* (cbrt (+ m n)) (* (cbrt (+ m n)) K)) (* K (sqrt (+ m n))) K K (* (+ m n) (cbrt K)) (* (+ m n) (sqrt K)) (* (+ m n) K) (* K (+ (* (* n n) n) (* m (* m m)))) (* (* K (+ m n)) (- m n)) (real->posit16 (* (+ m n) K)) (+ (* K m) (* K n)) (+ (* K m) (* K n)) (+ (* K m) (* K n)) 1 (cos (- (* 1/2 (+ (* K m) (* K n))) M)) (cos (- (* 1/2 (+ (* K m) (* K n))) M)) (+ (* m (* n 1/2)) (* (+ (* n n) (* m m)) 1/4)) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) (+ (* K m) (* K n)) (+ (* K m) (* K n)) (+ (* K m) (* K n)) 9.970 * * * [progress]: adding candidates to table 11.177 * [progress]: [Phase 3 of 3] Extracting. 11.177 * * [regime]: Finding splitpoints for: (# # #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))>) 11.180 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 11.180 * * * * [regimes]: Trying to branch on l from (# # #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))>) 11.282 * * * * [regimes]: Trying to branch on M from (# # #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))>) 11.368 * * * * [regimes]: Trying to branch on n from (# # #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))>) 11.486 * * * * [regimes]: Trying to branch on m from (# # #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))>) 11.597 * * * * [regimes]: Trying to branch on K from (# # #real (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (- l (fabs (- m n)))))))> #real (real->posit16 (* K (+ m n))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) (cbrt (posit16->real (real->posit16 (* K (+ m n)))))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))>) 11.714 * * * [regime]: Found split indices: #