0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.085 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.085 * [simplify]: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.085 * * [simplify]: iters left: 6 (21 enodes) 0.105 * * [simplify]: iters left: 5 (93 enodes) 0.132 * * [simplify]: iters left: 4 (174 enodes) 0.173 * * [simplify]: iters left: 3 (367 enodes) 0.294 * * [simplify]: Extracting #0: cost 1 inf + 0 0.294 * * [simplify]: Extracting #1: cost 35 inf + 0 0.295 * * [simplify]: Extracting #2: cost 112 inf + 1 0.295 * * [simplify]: Extracting #3: cost 197 inf + 297 0.296 * * [simplify]: Extracting #4: cost 252 inf + 757 0.298 * * [simplify]: Extracting #5: cost 206 inf + 8990 0.310 * * [simplify]: Extracting #6: cost 55 inf + 47735 0.329 * * [simplify]: Extracting #7: cost 1 inf + 67652 0.360 * * [simplify]: Extracting #8: cost 0 inf + 67697 0.389 * [simplify]: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))) 0.389 * [simplify]: Simplified (2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 0.404 * * [progress]: iteration 1 / 4 0.404 * * * [progress]: picking best candidate 0.409 * * * * [pick]: Picked # 0.410 * * * [progress]: localizing error 0.457 * * * [progress]: generating rewritten candidates 0.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.495 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.545 * * * [progress]: generating series expansions 0.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.545 * [backup-simplify]: Simplify (cos (- (* (/ K 2) (+ m n)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 0.545 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 0.545 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 0.545 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 0.546 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 0.546 * [taylor]: Taking taylor expansion of 1/2 in M 0.546 * [backup-simplify]: Simplify 1/2 into 1/2 0.546 * [taylor]: Taking taylor expansion of (* K n) in M 0.546 * [taylor]: Taking taylor expansion of K in M 0.546 * [backup-simplify]: Simplify K into K 0.546 * [taylor]: Taking taylor expansion of n in M 0.546 * [backup-simplify]: Simplify n into n 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 0.546 * [taylor]: Taking taylor expansion of 1/2 in M 0.546 * [backup-simplify]: Simplify 1/2 into 1/2 0.546 * [taylor]: Taking taylor expansion of (* K m) in M 0.546 * [taylor]: Taking taylor expansion of K in M 0.546 * [backup-simplify]: Simplify K into K 0.546 * [taylor]: Taking taylor expansion of m in M 0.546 * [backup-simplify]: Simplify m into m 0.546 * [taylor]: Taking taylor expansion of M in M 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* K n) into (* K n) 0.546 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 0.546 * [backup-simplify]: Simplify (* K m) into (* K m) 0.546 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 0.546 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0.547 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0.547 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0.547 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 0.547 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 0.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 0.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 0.547 * [taylor]: Taking taylor expansion of 1/2 in n 0.547 * [backup-simplify]: Simplify 1/2 into 1/2 0.547 * [taylor]: Taking taylor expansion of (* K n) in n 0.547 * [taylor]: Taking taylor expansion of K in n 0.547 * [backup-simplify]: Simplify K into K 0.547 * [taylor]: Taking taylor expansion of n in n 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 0.547 * [taylor]: Taking taylor expansion of 1/2 in n 0.547 * [backup-simplify]: Simplify 1/2 into 1/2 0.547 * [taylor]: Taking taylor expansion of (* K m) in n 0.547 * [taylor]: Taking taylor expansion of K in n 0.547 * [backup-simplify]: Simplify K into K 0.547 * [taylor]: Taking taylor expansion of m in n 0.547 * [backup-simplify]: Simplify m into m 0.547 * [taylor]: Taking taylor expansion of M in n 0.547 * [backup-simplify]: Simplify M into M 0.548 * [backup-simplify]: Simplify (* K 0) into 0 0.548 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.548 * [backup-simplify]: Simplify (* K m) into (* K m) 0.548 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 0.548 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 0.548 * [backup-simplify]: Simplify (- M) into (- M) 0.548 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 0.548 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 0.548 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 0.548 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 0.548 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 0.548 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 0.548 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 0.548 * [taylor]: Taking taylor expansion of 1/2 in m 0.548 * [backup-simplify]: Simplify 1/2 into 1/2 0.548 * [taylor]: Taking taylor expansion of (* K n) in m 0.548 * [taylor]: Taking taylor expansion of K in m 0.548 * [backup-simplify]: Simplify K into K 0.548 * [taylor]: Taking taylor expansion of n in m 0.548 * [backup-simplify]: Simplify n into n 0.548 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 0.548 * [taylor]: Taking taylor expansion of 1/2 in m 0.548 * [backup-simplify]: Simplify 1/2 into 1/2 0.548 * [taylor]: Taking taylor expansion of (* K m) in m 0.548 * [taylor]: Taking taylor expansion of K in m 0.549 * [backup-simplify]: Simplify K into K 0.549 * [taylor]: Taking taylor expansion of m in m 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [taylor]: Taking taylor expansion of M in m 0.549 * [backup-simplify]: Simplify M into M 0.549 * [backup-simplify]: Simplify (* K n) into (* K n) 0.549 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 0.549 * [backup-simplify]: Simplify (* K 0) into 0 0.549 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 0.549 * [backup-simplify]: Simplify (- M) into (- M) 0.549 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 0.549 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 0.549 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 0.549 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 0.549 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 0.549 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 0.549 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 0.549 * [taylor]: Taking taylor expansion of 1/2 in K 0.549 * [backup-simplify]: Simplify 1/2 into 1/2 0.549 * [taylor]: Taking taylor expansion of (* K n) in K 0.549 * [taylor]: Taking taylor expansion of K in K 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of n in K 0.550 * [backup-simplify]: Simplify n into n 0.550 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 0.550 * [taylor]: Taking taylor expansion of 1/2 in K 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [taylor]: Taking taylor expansion of (* K m) in K 0.550 * [taylor]: Taking taylor expansion of K in K 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [taylor]: Taking taylor expansion of m in K 0.550 * [backup-simplify]: Simplify m into m 0.550 * [taylor]: Taking taylor expansion of M in K 0.550 * [backup-simplify]: Simplify M into M 0.550 * [backup-simplify]: Simplify (* 0 n) into 0 0.550 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.550 * [backup-simplify]: Simplify (* 0 m) into 0 0.550 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- M) into (- M) 0.551 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.551 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.551 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.551 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 0.551 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 0.551 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 0.551 * [taylor]: Taking taylor expansion of 1/2 in K 0.551 * [backup-simplify]: Simplify 1/2 into 1/2 0.551 * [taylor]: Taking taylor expansion of (* K n) in K 0.551 * [taylor]: Taking taylor expansion of K in K 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of n in K 0.551 * [backup-simplify]: Simplify n into n 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 0.551 * [taylor]: Taking taylor expansion of 1/2 in K 0.551 * [backup-simplify]: Simplify 1/2 into 1/2 0.551 * [taylor]: Taking taylor expansion of (* K m) in K 0.551 * [taylor]: Taking taylor expansion of K in K 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [taylor]: Taking taylor expansion of m in K 0.551 * [backup-simplify]: Simplify m into m 0.551 * [taylor]: Taking taylor expansion of M in K 0.551 * [backup-simplify]: Simplify M into M 0.551 * [backup-simplify]: Simplify (* 0 n) into 0 0.551 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.551 * [backup-simplify]: Simplify (* 0 m) into 0 0.552 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (- M) into (- M) 0.552 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.552 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.552 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.552 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.552 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.553 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.553 * [taylor]: Taking taylor expansion of (- M) in m 0.553 * [taylor]: Taking taylor expansion of M in m 0.553 * [backup-simplify]: Simplify M into M 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.553 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.553 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.553 * [taylor]: Taking taylor expansion of (cos (- M)) in n 0.553 * [taylor]: Taking taylor expansion of (- M) in n 0.553 * [taylor]: Taking taylor expansion of M in n 0.553 * [backup-simplify]: Simplify M into M 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.553 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.553 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.554 * [taylor]: Taking taylor expansion of (cos (- M)) in M 0.554 * [taylor]: Taking taylor expansion of (- M) in M 0.554 * [taylor]: Taking taylor expansion of M in M 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (- 0) into 0 0.554 * [backup-simplify]: Simplify (- 1) into -1 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (+ 0) into 0 0.555 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.555 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 0.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 0.556 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 0.556 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 0.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 0.557 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 0.558 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 0.558 * [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)))))) 0.558 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 0.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 0.558 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 0.558 * [taylor]: Taking taylor expansion of 1/2 in m 0.558 * [backup-simplify]: Simplify 1/2 into 1/2 0.558 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 0.558 * [taylor]: Taking taylor expansion of (sin (- M)) in m 0.558 * [taylor]: Taking taylor expansion of (- M) in m 0.558 * [taylor]: Taking taylor expansion of M in m 0.558 * [backup-simplify]: Simplify M into M 0.558 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.559 * [taylor]: Taking taylor expansion of n in m 0.559 * [backup-simplify]: Simplify n into n 0.559 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 0.559 * [taylor]: Taking taylor expansion of 1/2 in m 0.559 * [backup-simplify]: Simplify 1/2 into 1/2 0.559 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 0.559 * [taylor]: Taking taylor expansion of m in m 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [taylor]: Taking taylor expansion of (sin (- M)) in m 0.559 * [taylor]: Taking taylor expansion of (- M) in m 0.559 * [taylor]: Taking taylor expansion of M in m 0.559 * [backup-simplify]: Simplify M into M 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.559 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.559 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.560 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.560 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 0.560 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 0.560 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.560 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.560 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.560 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 0.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.561 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 0.561 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 0.561 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 0.561 * [taylor]: Taking taylor expansion of 1/2 in n 0.561 * [backup-simplify]: Simplify 1/2 into 1/2 0.561 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 0.561 * [taylor]: Taking taylor expansion of (sin (- M)) in n 0.561 * [taylor]: Taking taylor expansion of (- M) in n 0.561 * [taylor]: Taking taylor expansion of M in n 0.561 * [backup-simplify]: Simplify M into M 0.561 * [backup-simplify]: Simplify (- M) into (- M) 0.561 * [backup-simplify]: Simplify (- M) into (- M) 0.561 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.561 * [backup-simplify]: Simplify (- M) into (- M) 0.561 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.561 * [taylor]: Taking taylor expansion of n in n 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.562 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.562 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.562 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.562 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [taylor]: Taking taylor expansion of 0 in M 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ 0) into 0 0.564 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.565 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in n 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [taylor]: Taking taylor expansion of 0 in M 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ 0) into 0 0.566 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.567 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [taylor]: Taking taylor expansion of 0 in M 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ 0) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [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))))) 0.569 * [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)))))) 0.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.572 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [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)))))) 0.573 * [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 0.573 * [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 0.573 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 0.573 * [taylor]: Taking taylor expansion of 1/8 in m 0.573 * [backup-simplify]: Simplify 1/8 into 1/8 0.573 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 0.573 * [taylor]: Taking taylor expansion of (pow m 2) in m 0.573 * [taylor]: Taking taylor expansion of m in m 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.573 * [taylor]: Taking taylor expansion of (- M) in m 0.573 * [taylor]: Taking taylor expansion of M in m 0.573 * [backup-simplify]: Simplify M into M 0.573 * [backup-simplify]: Simplify (- M) into (- M) 0.573 * [backup-simplify]: Simplify (- M) into (- M) 0.573 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.573 * [backup-simplify]: Simplify (- M) into (- M) 0.573 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.573 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 0.573 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 0.573 * [taylor]: Taking taylor expansion of 1/8 in m 0.573 * [backup-simplify]: Simplify 1/8 into 1/8 0.573 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 0.573 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.573 * [taylor]: Taking taylor expansion of (- M) in m 0.573 * [taylor]: Taking taylor expansion of M in m 0.573 * [backup-simplify]: Simplify M into M 0.573 * [backup-simplify]: Simplify (- M) into (- M) 0.573 * [backup-simplify]: Simplify (- M) into (- M) 0.574 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.574 * [backup-simplify]: Simplify (- M) into (- M) 0.574 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.574 * [taylor]: Taking taylor expansion of (pow n 2) in m 0.574 * [taylor]: Taking taylor expansion of n in m 0.574 * [backup-simplify]: Simplify n into n 0.574 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 0.574 * [taylor]: Taking taylor expansion of 1/4 in m 0.574 * [backup-simplify]: Simplify 1/4 into 1/4 0.574 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 0.574 * [taylor]: Taking taylor expansion of m in m 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 0.574 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.574 * [taylor]: Taking taylor expansion of (- M) in m 0.574 * [taylor]: Taking taylor expansion of M in m 0.574 * [backup-simplify]: Simplify M into M 0.574 * [backup-simplify]: Simplify (- M) into (- M) 0.574 * [backup-simplify]: Simplify (- M) into (- M) 0.574 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.574 * [backup-simplify]: Simplify (- M) into (- M) 0.574 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.574 * [taylor]: Taking taylor expansion of n in m 0.574 * [backup-simplify]: Simplify n into n 0.574 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.574 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.574 * [backup-simplify]: Simplify (* n n) into (pow n 2) 0.575 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 0.575 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 0.575 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.575 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.575 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.575 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 0.575 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 0.575 * [backup-simplify]: Simplify (* 1/4 0) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 0.576 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 0.576 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 0.576 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 0.576 * [taylor]: Taking taylor expansion of 1/8 in n 0.576 * [backup-simplify]: Simplify 1/8 into 1/8 0.576 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 0.576 * [taylor]: Taking taylor expansion of (cos (- M)) in n 0.576 * [taylor]: Taking taylor expansion of (- M) in n 0.576 * [taylor]: Taking taylor expansion of M in n 0.576 * [backup-simplify]: Simplify M into M 0.576 * [backup-simplify]: Simplify (- M) into (- M) 0.576 * [backup-simplify]: Simplify (- M) into (- M) 0.576 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.576 * [backup-simplify]: Simplify (- M) into (- M) 0.576 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.576 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.576 * [taylor]: Taking taylor expansion of n in n 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (+ 0) into 0 0.577 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.578 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 0.579 * [backup-simplify]: Simplify (+ 0) into 0 0.579 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.580 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 0.581 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 0.581 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 0.581 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 0.581 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 0.581 * [taylor]: Taking taylor expansion of 1/2 in n 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.581 * [taylor]: Taking taylor expansion of (sin (- M)) in n 0.581 * [taylor]: Taking taylor expansion of (- M) in n 0.581 * [taylor]: Taking taylor expansion of M in n 0.581 * [backup-simplify]: Simplify M into M 0.581 * [backup-simplify]: Simplify (- M) into (- M) 0.581 * [backup-simplify]: Simplify (- M) into (- M) 0.581 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.581 * [backup-simplify]: Simplify (- M) into (- M) 0.581 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.581 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.581 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.581 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.581 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 0.581 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 0.581 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 0.581 * [taylor]: Taking taylor expansion of 1/2 in M 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.581 * [taylor]: Taking taylor expansion of (sin (- M)) in M 0.581 * [taylor]: Taking taylor expansion of (- M) in M 0.581 * [taylor]: Taking taylor expansion of M in M 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify (- 1) into -1 0.582 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.584 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.585 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in n 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [taylor]: Taking taylor expansion of 0 in M 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (cos (- (* (/ (/ 1 K) 2) (+ (/ 1 m) (/ 1 n))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.585 * [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 0.586 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 0.586 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 0.586 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.586 * [taylor]: Taking taylor expansion of 1/2 in M 0.586 * [backup-simplify]: Simplify 1/2 into 1/2 0.586 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.586 * [taylor]: Taking taylor expansion of (* m K) in M 0.586 * [taylor]: Taking taylor expansion of m in M 0.586 * [backup-simplify]: Simplify m into m 0.586 * [taylor]: Taking taylor expansion of K in M 0.586 * [backup-simplify]: Simplify K into K 0.586 * [backup-simplify]: Simplify (* m K) into (* m K) 0.586 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.586 * [taylor]: Taking taylor expansion of 1/2 in M 0.586 * [backup-simplify]: Simplify 1/2 into 1/2 0.586 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.586 * [taylor]: Taking taylor expansion of (* K n) in M 0.586 * [taylor]: Taking taylor expansion of K in M 0.586 * [backup-simplify]: Simplify K into K 0.586 * [taylor]: Taking taylor expansion of n in M 0.586 * [backup-simplify]: Simplify n into n 0.586 * [backup-simplify]: Simplify (* K n) into (* K n) 0.586 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.586 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.586 * [taylor]: Taking taylor expansion of M in M 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [backup-simplify]: Simplify (- 1) into -1 0.587 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.587 * [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))) 0.587 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 0.587 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 0.587 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.587 * [taylor]: Taking taylor expansion of 1/2 in n 0.587 * [backup-simplify]: Simplify 1/2 into 1/2 0.587 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.587 * [taylor]: Taking taylor expansion of (* m K) in n 0.587 * [taylor]: Taking taylor expansion of m in n 0.587 * [backup-simplify]: Simplify m into m 0.587 * [taylor]: Taking taylor expansion of K in n 0.587 * [backup-simplify]: Simplify K into K 0.587 * [backup-simplify]: Simplify (* m K) into (* m K) 0.587 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.587 * [taylor]: Taking taylor expansion of 1/2 in n 0.587 * [backup-simplify]: Simplify 1/2 into 1/2 0.587 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.587 * [taylor]: Taking taylor expansion of (* K n) in n 0.587 * [taylor]: Taking taylor expansion of K in n 0.587 * [backup-simplify]: Simplify K into K 0.587 * [taylor]: Taking taylor expansion of n in n 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* K 0) into 0 0.588 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.588 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.588 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.588 * [taylor]: Taking taylor expansion of M in n 0.588 * [backup-simplify]: Simplify M into M 0.588 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.588 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.588 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.588 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.588 * [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))) 0.588 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 0.588 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 0.588 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.588 * [taylor]: Taking taylor expansion of 1/2 in m 0.588 * [backup-simplify]: Simplify 1/2 into 1/2 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.588 * [taylor]: Taking taylor expansion of (* m K) in m 0.588 * [taylor]: Taking taylor expansion of m in m 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [taylor]: Taking taylor expansion of K in m 0.588 * [backup-simplify]: Simplify K into K 0.588 * [backup-simplify]: Simplify (* 0 K) into 0 0.589 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.589 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.589 * [taylor]: Taking taylor expansion of 1/2 in m 0.589 * [backup-simplify]: Simplify 1/2 into 1/2 0.589 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.589 * [taylor]: Taking taylor expansion of (* K n) in m 0.589 * [taylor]: Taking taylor expansion of K in m 0.589 * [backup-simplify]: Simplify K into K 0.589 * [taylor]: Taking taylor expansion of n in m 0.589 * [backup-simplify]: Simplify n into n 0.589 * [backup-simplify]: Simplify (* K n) into (* K n) 0.589 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.589 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.589 * [taylor]: Taking taylor expansion of M in m 0.589 * [backup-simplify]: Simplify M into M 0.589 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.589 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.589 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.589 * [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))) 0.589 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 0.590 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 0.590 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.590 * [taylor]: Taking taylor expansion of 1/2 in K 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.590 * [taylor]: Taking taylor expansion of (* m K) in K 0.590 * [taylor]: Taking taylor expansion of m in K 0.590 * [backup-simplify]: Simplify m into m 0.590 * [taylor]: Taking taylor expansion of K in K 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (* m 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.590 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.590 * [taylor]: Taking taylor expansion of 1/2 in K 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.590 * [taylor]: Taking taylor expansion of (* K n) in K 0.590 * [taylor]: Taking taylor expansion of K in K 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of n in K 0.590 * [backup-simplify]: Simplify n into n 0.590 * [backup-simplify]: Simplify (* 0 n) into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.591 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.591 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.591 * [taylor]: Taking taylor expansion of M in K 0.591 * [backup-simplify]: Simplify M into M 0.591 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.591 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.591 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.591 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.591 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.591 * [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))) 0.591 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 0.591 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 0.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.591 * [taylor]: Taking taylor expansion of 1/2 in K 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.591 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.591 * [taylor]: Taking taylor expansion of (* m K) in K 0.591 * [taylor]: Taking taylor expansion of m in K 0.591 * [backup-simplify]: Simplify m into m 0.591 * [taylor]: Taking taylor expansion of K in K 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (* m 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.592 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.592 * [taylor]: Taking taylor expansion of 1/2 in K 0.592 * [backup-simplify]: Simplify 1/2 into 1/2 0.592 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.592 * [taylor]: Taking taylor expansion of (* K n) in K 0.592 * [taylor]: Taking taylor expansion of K in K 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [taylor]: Taking taylor expansion of n in K 0.592 * [backup-simplify]: Simplify n into n 0.592 * [backup-simplify]: Simplify (* 0 n) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.592 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.592 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.592 * [taylor]: Taking taylor expansion of M in K 0.592 * [backup-simplify]: Simplify M into M 0.592 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.593 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.593 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.593 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.593 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.593 * [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))) 0.593 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 0.593 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 0.593 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.594 * [taylor]: Taking taylor expansion of 1/2 in m 0.594 * [backup-simplify]: Simplify 1/2 into 1/2 0.594 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.594 * [taylor]: Taking taylor expansion of (* m K) in m 0.594 * [taylor]: Taking taylor expansion of m in m 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 1 into 1 0.594 * [taylor]: Taking taylor expansion of K in m 0.594 * [backup-simplify]: Simplify K into K 0.594 * [backup-simplify]: Simplify (* 0 K) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.594 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.594 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.594 * [taylor]: Taking taylor expansion of 1/2 in m 0.594 * [backup-simplify]: Simplify 1/2 into 1/2 0.594 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.594 * [taylor]: Taking taylor expansion of (* K n) in m 0.594 * [taylor]: Taking taylor expansion of K in m 0.595 * [backup-simplify]: Simplify K into K 0.595 * [taylor]: Taking taylor expansion of n in m 0.595 * [backup-simplify]: Simplify n into n 0.595 * [backup-simplify]: Simplify (* K n) into (* K n) 0.595 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.595 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.595 * [taylor]: Taking taylor expansion of M in m 0.595 * [backup-simplify]: Simplify M into M 0.595 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.595 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.595 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.595 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.595 * [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))) 0.595 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 0.596 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 0.596 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.596 * [taylor]: Taking taylor expansion of 1/2 in n 0.596 * [backup-simplify]: Simplify 1/2 into 1/2 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.596 * [taylor]: Taking taylor expansion of (* m K) in n 0.596 * [taylor]: Taking taylor expansion of m in n 0.596 * [backup-simplify]: Simplify m into m 0.596 * [taylor]: Taking taylor expansion of K in n 0.596 * [backup-simplify]: Simplify K into K 0.596 * [backup-simplify]: Simplify (* m K) into (* m K) 0.596 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.596 * [taylor]: Taking taylor expansion of 1/2 in n 0.596 * [backup-simplify]: Simplify 1/2 into 1/2 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.596 * [taylor]: Taking taylor expansion of (* K n) in n 0.596 * [taylor]: Taking taylor expansion of K in n 0.596 * [backup-simplify]: Simplify K into K 0.596 * [taylor]: Taking taylor expansion of n in n 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (* K 0) into 0 0.597 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.597 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.597 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.597 * [taylor]: Taking taylor expansion of M in n 0.597 * [backup-simplify]: Simplify M into M 0.597 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.597 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.597 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.597 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.598 * [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))) 0.598 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 0.598 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 0.598 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.598 * [taylor]: Taking taylor expansion of 1/2 in M 0.598 * [backup-simplify]: Simplify 1/2 into 1/2 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.598 * [taylor]: Taking taylor expansion of (* m K) in M 0.598 * [taylor]: Taking taylor expansion of m in M 0.598 * [backup-simplify]: Simplify m into m 0.598 * [taylor]: Taking taylor expansion of K in M 0.598 * [backup-simplify]: Simplify K into K 0.598 * [backup-simplify]: Simplify (* m K) into (* m K) 0.598 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.598 * [taylor]: Taking taylor expansion of 1/2 in M 0.598 * [backup-simplify]: Simplify 1/2 into 1/2 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.598 * [taylor]: Taking taylor expansion of (* K n) in M 0.599 * [taylor]: Taking taylor expansion of K in M 0.599 * [backup-simplify]: Simplify K into K 0.599 * [taylor]: Taking taylor expansion of n in M 0.599 * [backup-simplify]: Simplify n into n 0.599 * [backup-simplify]: Simplify (* K n) into (* K n) 0.599 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.599 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.599 * [taylor]: Taking taylor expansion of M in M 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [backup-simplify]: Simplify (- 1) into -1 0.600 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.600 * [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))) 0.601 * [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))) 0.601 * [taylor]: Taking taylor expansion of 0 in m 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [taylor]: Taking taylor expansion of 0 in n 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [taylor]: Taking taylor expansion of 0 in M 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [taylor]: Taking taylor expansion of 0 in n 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [taylor]: Taking taylor expansion of 0 in M 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [taylor]: Taking taylor expansion of 0 in M 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [taylor]: Taking taylor expansion of 0 in m 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [taylor]: Taking taylor expansion of 0 in n 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [taylor]: Taking taylor expansion of 0 in M 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [taylor]: Taking taylor expansion of 0 in n 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [taylor]: Taking taylor expansion of 0 in M 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [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)) 0.603 * [backup-simplify]: Simplify (cos (- (* (/ (/ 1 (- K)) 2) (+ (/ 1 (- m)) (/ 1 (- n)))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.603 * [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 0.603 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 0.603 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.603 * [taylor]: Taking taylor expansion of M in M 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.604 * [taylor]: Taking taylor expansion of 1/2 in M 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.604 * [taylor]: Taking taylor expansion of (* m K) in M 0.604 * [taylor]: Taking taylor expansion of m in M 0.604 * [backup-simplify]: Simplify m into m 0.604 * [taylor]: Taking taylor expansion of K in M 0.604 * [backup-simplify]: Simplify K into K 0.604 * [backup-simplify]: Simplify (* m K) into (* m K) 0.604 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.604 * [taylor]: Taking taylor expansion of 1/2 in M 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.604 * [taylor]: Taking taylor expansion of (* K n) in M 0.604 * [taylor]: Taking taylor expansion of K in M 0.604 * [backup-simplify]: Simplify K into K 0.604 * [taylor]: Taking taylor expansion of n in M 0.604 * [backup-simplify]: Simplify n into n 0.604 * [backup-simplify]: Simplify (* K n) into (* K n) 0.604 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.605 * [backup-simplify]: Simplify (+ 1 0) into 1 0.605 * [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)))))) 0.605 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 0.605 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.605 * [taylor]: Taking taylor expansion of M in n 0.605 * [backup-simplify]: Simplify M into M 0.605 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.606 * [taylor]: Taking taylor expansion of 1/2 in n 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.606 * [taylor]: Taking taylor expansion of (* m K) in n 0.606 * [taylor]: Taking taylor expansion of m in n 0.606 * [backup-simplify]: Simplify m into m 0.606 * [taylor]: Taking taylor expansion of K in n 0.606 * [backup-simplify]: Simplify K into K 0.606 * [backup-simplify]: Simplify (* m K) into (* m K) 0.606 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.606 * [taylor]: Taking taylor expansion of 1/2 in n 0.606 * [backup-simplify]: Simplify 1/2 into 1/2 0.606 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.606 * [taylor]: Taking taylor expansion of (* K n) in n 0.606 * [taylor]: Taking taylor expansion of K in n 0.606 * [backup-simplify]: Simplify K into K 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* K 0) into 0 0.607 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.607 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.607 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.607 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.607 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.607 * [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)))))) 0.607 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 0.607 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 0.607 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.607 * [taylor]: Taking taylor expansion of M in m 0.607 * [backup-simplify]: Simplify M into M 0.608 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.608 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.608 * [taylor]: Taking taylor expansion of 1/2 in m 0.608 * [backup-simplify]: Simplify 1/2 into 1/2 0.608 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.608 * [taylor]: Taking taylor expansion of (* m K) in m 0.608 * [taylor]: Taking taylor expansion of m in m 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [taylor]: Taking taylor expansion of K in m 0.608 * [backup-simplify]: Simplify K into K 0.608 * [backup-simplify]: Simplify (* 0 K) into 0 0.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.608 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.608 * [taylor]: Taking taylor expansion of 1/2 in m 0.608 * [backup-simplify]: Simplify 1/2 into 1/2 0.608 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.609 * [taylor]: Taking taylor expansion of (* K n) in m 0.609 * [taylor]: Taking taylor expansion of K in m 0.609 * [backup-simplify]: Simplify K into K 0.609 * [taylor]: Taking taylor expansion of n in m 0.609 * [backup-simplify]: Simplify n into n 0.609 * [backup-simplify]: Simplify (* K n) into (* K n) 0.609 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.609 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.609 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.609 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.609 * [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)))))) 0.609 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 0.609 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.609 * [taylor]: Taking taylor expansion of M in K 0.610 * [backup-simplify]: Simplify M into M 0.610 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.610 * [taylor]: Taking taylor expansion of 1/2 in K 0.610 * [backup-simplify]: Simplify 1/2 into 1/2 0.610 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.610 * [taylor]: Taking taylor expansion of (* m K) in K 0.610 * [taylor]: Taking taylor expansion of m in K 0.610 * [backup-simplify]: Simplify m into m 0.610 * [taylor]: Taking taylor expansion of K in K 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (* m 0) into 0 0.610 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.610 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.610 * [taylor]: Taking taylor expansion of 1/2 in K 0.610 * [backup-simplify]: Simplify 1/2 into 1/2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.611 * [taylor]: Taking taylor expansion of (* K n) in K 0.611 * [taylor]: Taking taylor expansion of K in K 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [taylor]: Taking taylor expansion of n in K 0.611 * [backup-simplify]: Simplify n into n 0.611 * [backup-simplify]: Simplify (* 0 n) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.611 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.611 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.611 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.612 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.612 * [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)))))) 0.612 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 0.612 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.612 * [taylor]: Taking taylor expansion of M in K 0.612 * [backup-simplify]: Simplify M into M 0.612 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.612 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.612 * [taylor]: Taking taylor expansion of 1/2 in K 0.612 * [backup-simplify]: Simplify 1/2 into 1/2 0.612 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.612 * [taylor]: Taking taylor expansion of (* m K) in K 0.612 * [taylor]: Taking taylor expansion of m in K 0.612 * [backup-simplify]: Simplify m into m 0.613 * [taylor]: Taking taylor expansion of K in K 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* m 0) into 0 0.613 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.613 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.613 * [taylor]: Taking taylor expansion of 1/2 in K 0.613 * [backup-simplify]: Simplify 1/2 into 1/2 0.613 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.613 * [taylor]: Taking taylor expansion of (* K n) in K 0.613 * [taylor]: Taking taylor expansion of K in K 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [taylor]: Taking taylor expansion of n in K 0.613 * [backup-simplify]: Simplify n into n 0.613 * [backup-simplify]: Simplify (* 0 n) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.614 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.614 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.614 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.615 * [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)))))) 0.615 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 0.615 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.615 * [taylor]: Taking taylor expansion of M in m 0.615 * [backup-simplify]: Simplify M into M 0.615 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.615 * [taylor]: Taking taylor expansion of 1/2 in m 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.615 * [taylor]: Taking taylor expansion of (* m K) in m 0.615 * [taylor]: Taking taylor expansion of m in m 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of K in m 0.615 * [backup-simplify]: Simplify K into K 0.615 * [backup-simplify]: Simplify (* 0 K) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.616 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.616 * [taylor]: Taking taylor expansion of 1/2 in m 0.616 * [backup-simplify]: Simplify 1/2 into 1/2 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.616 * [taylor]: Taking taylor expansion of (* K n) in m 0.616 * [taylor]: Taking taylor expansion of K in m 0.616 * [backup-simplify]: Simplify K into K 0.616 * [taylor]: Taking taylor expansion of n in m 0.616 * [backup-simplify]: Simplify n into n 0.616 * [backup-simplify]: Simplify (* K n) into (* K n) 0.616 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.617 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.617 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.617 * [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)))))) 0.617 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 0.617 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.617 * [taylor]: Taking taylor expansion of M in n 0.617 * [backup-simplify]: Simplify M into M 0.617 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.617 * [taylor]: Taking taylor expansion of 1/2 in n 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.618 * [taylor]: Taking taylor expansion of (* m K) in n 0.618 * [taylor]: Taking taylor expansion of m in n 0.618 * [backup-simplify]: Simplify m into m 0.618 * [taylor]: Taking taylor expansion of K in n 0.618 * [backup-simplify]: Simplify K into K 0.618 * [backup-simplify]: Simplify (* m K) into (* m K) 0.618 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.618 * [taylor]: Taking taylor expansion of 1/2 in n 0.618 * [backup-simplify]: Simplify 1/2 into 1/2 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.618 * [taylor]: Taking taylor expansion of (* K n) in n 0.618 * [taylor]: Taking taylor expansion of K in n 0.618 * [backup-simplify]: Simplify K into K 0.618 * [taylor]: Taking taylor expansion of n in n 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (* K 0) into 0 0.621 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.621 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.621 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.621 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.622 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.622 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 0.622 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.622 * [taylor]: Taking taylor expansion of M in M 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (/ 1 1) into 1 0.623 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.623 * [taylor]: Taking taylor expansion of 1/2 in M 0.623 * [backup-simplify]: Simplify 1/2 into 1/2 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.623 * [taylor]: Taking taylor expansion of (* m K) in M 0.623 * [taylor]: Taking taylor expansion of m in M 0.623 * [backup-simplify]: Simplify m into m 0.623 * [taylor]: Taking taylor expansion of K in M 0.623 * [backup-simplify]: Simplify K into K 0.623 * [backup-simplify]: Simplify (* m K) into (* m K) 0.623 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.623 * [taylor]: Taking taylor expansion of 1/2 in M 0.623 * [backup-simplify]: Simplify 1/2 into 1/2 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.623 * [taylor]: Taking taylor expansion of (* K n) in M 0.623 * [taylor]: Taking taylor expansion of K in M 0.623 * [backup-simplify]: Simplify K into K 0.623 * [taylor]: Taking taylor expansion of n in M 0.623 * [backup-simplify]: Simplify n into n 0.623 * [backup-simplify]: Simplify (* K n) into (* K n) 0.623 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.624 * [backup-simplify]: Simplify (+ 1 0) into 1 0.624 * [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)))))) 0.624 * [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)))))) 0.625 * [taylor]: Taking taylor expansion of 0 in m 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in M 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in M 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in M 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in m 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in M 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in M 0.625 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [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)) 0.626 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.626 * [backup-simplify]: Simplify (* (/ K 2) (+ m n)) into (* 1/2 (* K (+ m n))) 0.626 * [approximate]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in (K m n) around 0 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in n 0.626 * [taylor]: Taking taylor expansion of 1/2 in n 0.626 * [backup-simplify]: Simplify 1/2 into 1/2 0.626 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 0.626 * [taylor]: Taking taylor expansion of K in n 0.626 * [backup-simplify]: Simplify K into K 0.626 * [taylor]: Taking taylor expansion of (+ m n) in n 0.626 * [taylor]: Taking taylor expansion of m in n 0.627 * [backup-simplify]: Simplify m into m 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in m 0.627 * [taylor]: Taking taylor expansion of 1/2 in m 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 0.627 * [taylor]: Taking taylor expansion of K in m 0.627 * [backup-simplify]: Simplify K into K 0.627 * [taylor]: Taking taylor expansion of (+ m n) in m 0.627 * [taylor]: Taking taylor expansion of m in m 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of n in m 0.627 * [backup-simplify]: Simplify n into n 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 0.627 * [taylor]: Taking taylor expansion of 1/2 in K 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 0.627 * [taylor]: Taking taylor expansion of K in K 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (+ m n) in K 0.627 * [taylor]: Taking taylor expansion of m in K 0.627 * [backup-simplify]: Simplify m into m 0.627 * [taylor]: Taking taylor expansion of n in K 0.627 * [backup-simplify]: Simplify n into n 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 0.627 * [taylor]: Taking taylor expansion of 1/2 in K 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 0.627 * [taylor]: Taking taylor expansion of K in K 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of (+ m n) in K 0.627 * [taylor]: Taking taylor expansion of m in K 0.627 * [backup-simplify]: Simplify m into m 0.627 * [taylor]: Taking taylor expansion of n in K 0.628 * [backup-simplify]: Simplify n into n 0.628 * [backup-simplify]: Simplify (+ m n) into (+ m n) 0.628 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 0.628 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.628 * [taylor]: Taking taylor expansion of 0 in m 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [taylor]: Taking taylor expansion of 0 in n 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 0.629 * [backup-simplify]: Simplify (+ (* 1/2 (+ m n)) (* 0 0)) into (+ (* 1/2 m) (* 1/2 n)) 0.629 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.629 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.629 * [taylor]: Taking taylor expansion of 1/2 in m 0.629 * [backup-simplify]: Simplify 1/2 into 1/2 0.629 * [taylor]: Taking taylor expansion of m in m 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.629 * [taylor]: Taking taylor expansion of 1/2 in m 0.629 * [backup-simplify]: Simplify 1/2 into 1/2 0.629 * [taylor]: Taking taylor expansion of n in m 0.629 * [backup-simplify]: Simplify n into n 0.629 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.630 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.630 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.630 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.630 * [taylor]: Taking taylor expansion of 1/2 in n 0.630 * [backup-simplify]: Simplify 1/2 into 1/2 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in n 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (+ m n)) (* 0 0))) into 0 0.631 * [taylor]: Taking taylor expansion of 0 in m 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [taylor]: Taking taylor expansion of 0 in n 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.632 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.632 * [taylor]: Taking taylor expansion of 1/2 in n 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of 0 in n 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 0.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ m n)) (* 0 0)))) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in m 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [taylor]: Taking taylor expansion of 0 in n 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [taylor]: Taking taylor expansion of 0 in n 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [taylor]: Taking taylor expansion of 0 in n 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [taylor]: Taking taylor expansion of 0 in n 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 0.637 * [backup-simplify]: Simplify (* (/ (/ 1 K) 2) (+ (/ 1 m) (/ 1 n))) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 0.637 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 0.637 * [taylor]: Taking taylor expansion of 1/2 in n 0.637 * [backup-simplify]: Simplify 1/2 into 1/2 0.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 0.637 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.637 * [taylor]: Taking taylor expansion of m in n 0.637 * [backup-simplify]: Simplify m into m 0.637 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.637 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [taylor]: Taking taylor expansion of K in n 0.637 * [backup-simplify]: Simplify K into K 0.637 * [backup-simplify]: Simplify (+ 0 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 0.637 * [taylor]: Taking taylor expansion of 1/2 in m 0.637 * [backup-simplify]: Simplify 1/2 into 1/2 0.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.638 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.638 * [taylor]: Taking taylor expansion of m in m 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (/ 1 1) into 1 0.638 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.638 * [taylor]: Taking taylor expansion of n in m 0.638 * [backup-simplify]: Simplify n into n 0.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.638 * [taylor]: Taking taylor expansion of K in m 0.638 * [backup-simplify]: Simplify K into K 0.638 * [backup-simplify]: Simplify (+ 1 0) into 1 0.638 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.638 * [taylor]: Taking taylor expansion of 1/2 in K 0.638 * [backup-simplify]: Simplify 1/2 into 1/2 0.638 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.638 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.638 * [taylor]: Taking taylor expansion of m in K 0.638 * [backup-simplify]: Simplify m into m 0.638 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.638 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.638 * [taylor]: Taking taylor expansion of n in K 0.638 * [backup-simplify]: Simplify n into n 0.638 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.639 * [taylor]: Taking taylor expansion of K in K 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.639 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.639 * [taylor]: Taking taylor expansion of 1/2 in K 0.639 * [backup-simplify]: Simplify 1/2 into 1/2 0.639 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.639 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.639 * [taylor]: Taking taylor expansion of m in K 0.639 * [backup-simplify]: Simplify m into m 0.639 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.639 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.639 * [taylor]: Taking taylor expansion of n in K 0.639 * [backup-simplify]: Simplify n into n 0.639 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.639 * [taylor]: Taking taylor expansion of K in K 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.639 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.639 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 0.639 * [taylor]: Taking taylor expansion of 1/2 in m 0.639 * [backup-simplify]: Simplify 1/2 into 1/2 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.639 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.639 * [taylor]: Taking taylor expansion of m in m 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (/ 1 1) into 1 0.640 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.640 * [taylor]: Taking taylor expansion of n in m 0.640 * [backup-simplify]: Simplify n into n 0.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.640 * [backup-simplify]: Simplify (+ 1 0) into 1 0.640 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.640 * [taylor]: Taking taylor expansion of 1/2 in n 0.640 * [backup-simplify]: Simplify 1/2 into 1/2 0.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 0.642 * [taylor]: Taking taylor expansion of 0 in m 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.642 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 0.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.642 * [taylor]: Taking taylor expansion of 1/2 in n 0.643 * [backup-simplify]: Simplify 1/2 into 1/2 0.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (/ 1 1) into 1 0.643 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.643 * [backup-simplify]: Simplify 1/2 into 1/2 0.643 * [backup-simplify]: Simplify 1/2 into 1/2 0.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 0.645 * [taylor]: Taking taylor expansion of 0 in m 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [taylor]: Taking taylor expansion of 0 in n 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 0.647 * [taylor]: Taking taylor expansion of 0 in n 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.648 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in m 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [taylor]: Taking taylor expansion of 0 in n 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [taylor]: Taking taylor expansion of 0 in n 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 0.652 * [taylor]: Taking taylor expansion of 0 in n 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 0.654 * [backup-simplify]: Simplify (* (/ (/ 1 (- K)) 2) (+ (/ 1 (- m)) (/ 1 (- n)))) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 0.654 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 0.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 0.654 * [taylor]: Taking taylor expansion of 1/2 in n 0.654 * [backup-simplify]: Simplify 1/2 into 1/2 0.654 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 0.654 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.654 * [taylor]: Taking taylor expansion of m in n 0.654 * [backup-simplify]: Simplify m into m 0.654 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.654 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.654 * [taylor]: Taking taylor expansion of n in n 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [taylor]: Taking taylor expansion of K in n 0.654 * [backup-simplify]: Simplify K into K 0.655 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 0.655 * [taylor]: Taking taylor expansion of 1/2 in m 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.655 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.655 * [taylor]: Taking taylor expansion of m in m 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.655 * [taylor]: Taking taylor expansion of n in m 0.655 * [backup-simplify]: Simplify n into n 0.655 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.655 * [taylor]: Taking taylor expansion of K in m 0.655 * [backup-simplify]: Simplify K into K 0.655 * [backup-simplify]: Simplify (+ 1 0) into 1 0.655 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.655 * [taylor]: Taking taylor expansion of 1/2 in K 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.656 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.656 * [taylor]: Taking taylor expansion of m in K 0.656 * [backup-simplify]: Simplify m into m 0.656 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.656 * [taylor]: Taking taylor expansion of n in K 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.656 * [taylor]: Taking taylor expansion of K in K 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.656 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.656 * [taylor]: Taking taylor expansion of 1/2 in K 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.656 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.656 * [taylor]: Taking taylor expansion of m in K 0.656 * [backup-simplify]: Simplify m into m 0.656 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.656 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.656 * [taylor]: Taking taylor expansion of n in K 0.656 * [backup-simplify]: Simplify n into n 0.656 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.656 * [taylor]: Taking taylor expansion of K in K 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.656 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.656 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 0.656 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 0.656 * [taylor]: Taking taylor expansion of 1/2 in m 0.657 * [backup-simplify]: Simplify 1/2 into 1/2 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.657 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.657 * [taylor]: Taking taylor expansion of m in m 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.657 * [taylor]: Taking taylor expansion of n in m 0.657 * [backup-simplify]: Simplify n into n 0.657 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.657 * [taylor]: Taking taylor expansion of 1/2 in n 0.657 * [backup-simplify]: Simplify 1/2 into 1/2 0.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 0.659 * [taylor]: Taking taylor expansion of 0 in m 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.660 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 0.660 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.660 * [taylor]: Taking taylor expansion of 1/2 in n 0.660 * [backup-simplify]: Simplify 1/2 into 1/2 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 0.664 * [taylor]: Taking taylor expansion of 0 in m 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [taylor]: Taking taylor expansion of 0 in n 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 0.666 * [taylor]: Taking taylor expansion of 0 in n 0.666 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 0.672 * [taylor]: Taking taylor expansion of 0 in m 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [taylor]: Taking taylor expansion of 0 in n 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [taylor]: Taking taylor expansion of 0 in n 0.672 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in n 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 0.677 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.678 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 0.678 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 0.678 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 0.678 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.678 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 0.678 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 0.678 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 0.678 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 0.678 * [taylor]: Taking taylor expansion of 1/2 in l 0.678 * [backup-simplify]: Simplify 1/2 into 1/2 0.678 * [taylor]: Taking taylor expansion of m in l 0.678 * [backup-simplify]: Simplify m into m 0.678 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 0.678 * [taylor]: Taking taylor expansion of 1/2 in l 0.678 * [backup-simplify]: Simplify 1/2 into 1/2 0.678 * [taylor]: Taking taylor expansion of n in l 0.678 * [backup-simplify]: Simplify n into n 0.678 * [taylor]: Taking taylor expansion of M in l 0.678 * [backup-simplify]: Simplify M into M 0.678 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 0.678 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 0.678 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 0.678 * [taylor]: Taking taylor expansion of 1/2 in l 0.678 * [backup-simplify]: Simplify 1/2 into 1/2 0.678 * [taylor]: Taking taylor expansion of m in l 0.679 * [backup-simplify]: Simplify m into m 0.679 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 0.679 * [taylor]: Taking taylor expansion of 1/2 in l 0.679 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [taylor]: Taking taylor expansion of n in l 0.679 * [backup-simplify]: Simplify n into n 0.679 * [taylor]: Taking taylor expansion of M in l 0.679 * [backup-simplify]: Simplify M into M 0.679 * [taylor]: Taking taylor expansion of l in l 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 0.679 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.679 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 0.679 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 0.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 0.679 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 0.679 * [taylor]: Taking taylor expansion of 1/2 in M 0.679 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [taylor]: Taking taylor expansion of m in M 0.679 * [backup-simplify]: Simplify m into m 0.679 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 0.679 * [taylor]: Taking taylor expansion of 1/2 in M 0.679 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [taylor]: Taking taylor expansion of n in M 0.679 * [backup-simplify]: Simplify n into n 0.679 * [taylor]: Taking taylor expansion of M in M 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 0.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 0.679 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 0.679 * [taylor]: Taking taylor expansion of 1/2 in M 0.679 * [backup-simplify]: Simplify 1/2 into 1/2 0.679 * [taylor]: Taking taylor expansion of m in M 0.680 * [backup-simplify]: Simplify m into m 0.680 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 0.680 * [taylor]: Taking taylor expansion of 1/2 in M 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of n in M 0.680 * [backup-simplify]: Simplify n into n 0.680 * [taylor]: Taking taylor expansion of M in M 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of l in M 0.680 * [backup-simplify]: Simplify l into l 0.680 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 0.680 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.680 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 0.680 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 0.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 0.680 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 0.680 * [taylor]: Taking taylor expansion of 1/2 in n 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of m in n 0.680 * [backup-simplify]: Simplify m into m 0.680 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.680 * [taylor]: Taking taylor expansion of 1/2 in n 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of n in n 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [taylor]: Taking taylor expansion of M in n 0.680 * [backup-simplify]: Simplify M into M 0.680 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 0.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 0.680 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 0.680 * [taylor]: Taking taylor expansion of 1/2 in n 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of m in n 0.680 * [backup-simplify]: Simplify m into m 0.681 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.681 * [taylor]: Taking taylor expansion of 1/2 in n 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of n in n 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of M in n 0.681 * [backup-simplify]: Simplify M into M 0.681 * [taylor]: Taking taylor expansion of l in n 0.681 * [backup-simplify]: Simplify l into l 0.681 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 0.681 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.681 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 0.681 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.681 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.681 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.681 * [taylor]: Taking taylor expansion of 1/2 in m 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of m in m 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.681 * [taylor]: Taking taylor expansion of 1/2 in m 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of n in m 0.681 * [backup-simplify]: Simplify n into n 0.681 * [taylor]: Taking taylor expansion of M in m 0.681 * [backup-simplify]: Simplify M into M 0.681 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.681 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.681 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.681 * [taylor]: Taking taylor expansion of 1/2 in m 0.681 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [taylor]: Taking taylor expansion of m in m 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.682 * [taylor]: Taking taylor expansion of 1/2 in m 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of n in m 0.682 * [backup-simplify]: Simplify n into n 0.682 * [taylor]: Taking taylor expansion of M in m 0.682 * [backup-simplify]: Simplify M into M 0.682 * [taylor]: Taking taylor expansion of l in m 0.682 * [backup-simplify]: Simplify l into l 0.682 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 0.682 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.682 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 0.682 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.682 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.682 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.682 * [taylor]: Taking taylor expansion of 1/2 in m 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of m in m 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.682 * [taylor]: Taking taylor expansion of 1/2 in m 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of n in m 0.682 * [backup-simplify]: Simplify n into n 0.682 * [taylor]: Taking taylor expansion of M in m 0.682 * [backup-simplify]: Simplify M into M 0.682 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.682 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.682 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.682 * [taylor]: Taking taylor expansion of 1/2 in m 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of m in m 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.682 * [taylor]: Taking taylor expansion of 1/2 in m 0.683 * [backup-simplify]: Simplify 1/2 into 1/2 0.683 * [taylor]: Taking taylor expansion of n in m 0.683 * [backup-simplify]: Simplify n into n 0.683 * [taylor]: Taking taylor expansion of M in m 0.683 * [backup-simplify]: Simplify M into M 0.683 * [taylor]: Taking taylor expansion of l in m 0.683 * [backup-simplify]: Simplify l into l 0.683 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.683 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.684 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.684 * [backup-simplify]: Simplify (- M) into (- M) 0.684 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 0.684 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.684 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.684 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.684 * [backup-simplify]: Simplify (- M) into (- M) 0.684 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 0.685 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 0.685 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 0.685 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 0.685 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 0.685 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.685 * [taylor]: Taking taylor expansion of M in n 0.685 * [backup-simplify]: Simplify M into M 0.685 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 0.685 * [taylor]: Taking taylor expansion of l in n 0.685 * [backup-simplify]: Simplify l into l 0.685 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 0.685 * [taylor]: Taking taylor expansion of 1/4 in n 0.685 * [backup-simplify]: Simplify 1/4 into 1/4 0.685 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of (* M n) in n 0.685 * [taylor]: Taking taylor expansion of M in n 0.685 * [backup-simplify]: Simplify M into M 0.685 * [taylor]: Taking taylor expansion of n in n 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.686 * [backup-simplify]: Simplify (+ l 0) into l 0.686 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 0.686 * [backup-simplify]: Simplify (* M 0) into 0 0.686 * [backup-simplify]: Simplify (- 0) into 0 0.686 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 0.686 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 0.686 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.686 * [taylor]: Taking taylor expansion of M in M 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [taylor]: Taking taylor expansion of l in M 0.686 * [backup-simplify]: Simplify l into l 0.686 * [backup-simplify]: Simplify (+ 0 l) into l 0.686 * [taylor]: Taking taylor expansion of l in l 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.688 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.688 * [backup-simplify]: Simplify (- 0) into 0 0.689 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.689 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.690 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.690 * [backup-simplify]: Simplify (- 0) into 0 0.690 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.690 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 0.690 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 0.690 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 0.691 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.691 * [taylor]: Taking taylor expansion of 1/2 in n 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of n in n 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of M in n 0.691 * [backup-simplify]: Simplify M into M 0.691 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.691 * [backup-simplify]: Simplify (- M) into (- M) 0.691 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.691 * [taylor]: Taking taylor expansion of (- M) in M 0.691 * [taylor]: Taking taylor expansion of M in M 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (- 0) into 0 0.691 * [taylor]: Taking taylor expansion of 0 in l 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.692 * [backup-simplify]: Simplify (- M) into (- M) 0.692 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.692 * [taylor]: Taking taylor expansion of (- M) in M 0.692 * [taylor]: Taking taylor expansion of M in M 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [taylor]: Taking taylor expansion of 0 in l 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [taylor]: Taking taylor expansion of 0 in l 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (- 0) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 0.697 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.697 * [taylor]: Taking taylor expansion of 1/4 in n 0.697 * [backup-simplify]: Simplify 1/4 into 1/4 0.697 * [taylor]: Taking taylor expansion of 1/4 in M 0.697 * [backup-simplify]: Simplify 1/4 into 1/4 0.697 * [taylor]: Taking taylor expansion of 1/4 in l 0.697 * [backup-simplify]: Simplify 1/4 into 1/4 0.697 * [backup-simplify]: Simplify 1/4 into 1/4 0.698 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.698 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.698 * [taylor]: Taking taylor expansion of 1/2 in M 0.698 * [backup-simplify]: Simplify 1/2 into 1/2 0.698 * [taylor]: Taking taylor expansion of 1/2 in l 0.698 * [backup-simplify]: Simplify 1/2 into 1/2 0.698 * [backup-simplify]: Simplify 1/2 into 1/2 0.699 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 0.699 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 0.699 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 0.699 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 0.699 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.699 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 0.699 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 0.699 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.699 * [taylor]: Taking taylor expansion of 1/2 in l 0.699 * [backup-simplify]: Simplify 1/2 into 1/2 0.699 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.699 * [taylor]: Taking taylor expansion of m in l 0.699 * [backup-simplify]: Simplify m into m 0.699 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.699 * [taylor]: Taking taylor expansion of 1/2 in l 0.699 * [backup-simplify]: Simplify 1/2 into 1/2 0.699 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.700 * [taylor]: Taking taylor expansion of n in l 0.700 * [backup-simplify]: Simplify n into n 0.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.700 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.700 * [taylor]: Taking taylor expansion of M in l 0.700 * [backup-simplify]: Simplify M into M 0.700 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.700 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 0.700 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.700 * [taylor]: Taking taylor expansion of 1/2 in l 0.700 * [backup-simplify]: Simplify 1/2 into 1/2 0.700 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.700 * [taylor]: Taking taylor expansion of m in l 0.700 * [backup-simplify]: Simplify m into m 0.700 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.700 * [taylor]: Taking taylor expansion of 1/2 in l 0.700 * [backup-simplify]: Simplify 1/2 into 1/2 0.700 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.700 * [taylor]: Taking taylor expansion of n in l 0.700 * [backup-simplify]: Simplify n into n 0.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.700 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.700 * [taylor]: Taking taylor expansion of M in l 0.700 * [backup-simplify]: Simplify M into M 0.700 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.700 * [taylor]: Taking taylor expansion of (/ 1 l) in l 0.700 * [taylor]: Taking taylor expansion of l in l 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (/ 1 1) into 1 0.700 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 0.700 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.700 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 0.700 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 0.701 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.701 * [taylor]: Taking taylor expansion of 1/2 in M 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.701 * [taylor]: Taking taylor expansion of m in M 0.701 * [backup-simplify]: Simplify m into m 0.701 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.701 * [taylor]: Taking taylor expansion of 1/2 in M 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.701 * [taylor]: Taking taylor expansion of n in M 0.701 * [backup-simplify]: Simplify n into n 0.701 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.701 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.701 * [taylor]: Taking taylor expansion of M in M 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 0.701 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.701 * [taylor]: Taking taylor expansion of 1/2 in M 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.701 * [taylor]: Taking taylor expansion of m in M 0.701 * [backup-simplify]: Simplify m into m 0.701 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.701 * [taylor]: Taking taylor expansion of 1/2 in M 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.701 * [taylor]: Taking taylor expansion of n in M 0.701 * [backup-simplify]: Simplify n into n 0.701 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.701 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.701 * [taylor]: Taking taylor expansion of M in M 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.702 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.702 * [taylor]: Taking taylor expansion of l in M 0.702 * [backup-simplify]: Simplify l into l 0.702 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.702 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 0.702 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.702 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 0.702 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 0.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.702 * [taylor]: Taking taylor expansion of 1/2 in n 0.702 * [backup-simplify]: Simplify 1/2 into 1/2 0.702 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.702 * [taylor]: Taking taylor expansion of m in n 0.702 * [backup-simplify]: Simplify m into m 0.702 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.702 * [taylor]: Taking taylor expansion of 1/2 in n 0.702 * [backup-simplify]: Simplify 1/2 into 1/2 0.702 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.703 * [taylor]: Taking taylor expansion of M in n 0.703 * [backup-simplify]: Simplify M into M 0.703 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.703 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 0.703 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.703 * [taylor]: Taking taylor expansion of 1/2 in n 0.703 * [backup-simplify]: Simplify 1/2 into 1/2 0.703 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.703 * [taylor]: Taking taylor expansion of m in n 0.703 * [backup-simplify]: Simplify m into m 0.703 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.703 * [taylor]: Taking taylor expansion of 1/2 in n 0.703 * [backup-simplify]: Simplify 1/2 into 1/2 0.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.703 * [taylor]: Taking taylor expansion of n in n 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.704 * [taylor]: Taking taylor expansion of M in n 0.704 * [backup-simplify]: Simplify M into M 0.704 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.704 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.704 * [taylor]: Taking taylor expansion of l in n 0.704 * [backup-simplify]: Simplify l into l 0.704 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.704 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 0.704 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.704 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 0.704 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.704 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.704 * [taylor]: Taking taylor expansion of 1/2 in m 0.704 * [backup-simplify]: Simplify 1/2 into 1/2 0.704 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.704 * [taylor]: Taking taylor expansion of m in m 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.704 * [taylor]: Taking taylor expansion of 1/2 in m 0.704 * [backup-simplify]: Simplify 1/2 into 1/2 0.704 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.704 * [taylor]: Taking taylor expansion of n in m 0.704 * [backup-simplify]: Simplify n into n 0.705 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.705 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.705 * [taylor]: Taking taylor expansion of M in m 0.705 * [backup-simplify]: Simplify M into M 0.705 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.705 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.705 * [taylor]: Taking taylor expansion of 1/2 in m 0.705 * [backup-simplify]: Simplify 1/2 into 1/2 0.705 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.705 * [taylor]: Taking taylor expansion of m in m 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.705 * [taylor]: Taking taylor expansion of 1/2 in m 0.705 * [backup-simplify]: Simplify 1/2 into 1/2 0.705 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.705 * [taylor]: Taking taylor expansion of n in m 0.705 * [backup-simplify]: Simplify n into n 0.705 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.705 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.705 * [taylor]: Taking taylor expansion of M in m 0.705 * [backup-simplify]: Simplify M into M 0.705 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.705 * [taylor]: Taking taylor expansion of (/ 1 l) in m 0.705 * [taylor]: Taking taylor expansion of l in m 0.705 * [backup-simplify]: Simplify l into l 0.705 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.705 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 0.705 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.705 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 0.705 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.705 * [taylor]: Taking taylor expansion of 1/2 in m 0.705 * [backup-simplify]: Simplify 1/2 into 1/2 0.705 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.706 * [taylor]: Taking taylor expansion of m in m 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.706 * [taylor]: Taking taylor expansion of 1/2 in m 0.706 * [backup-simplify]: Simplify 1/2 into 1/2 0.706 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.706 * [taylor]: Taking taylor expansion of n in m 0.706 * [backup-simplify]: Simplify n into n 0.706 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.706 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.706 * [taylor]: Taking taylor expansion of M in m 0.706 * [backup-simplify]: Simplify M into M 0.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.706 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.706 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.706 * [taylor]: Taking taylor expansion of 1/2 in m 0.706 * [backup-simplify]: Simplify 1/2 into 1/2 0.706 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.706 * [taylor]: Taking taylor expansion of m in m 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.706 * [taylor]: Taking taylor expansion of 1/2 in m 0.706 * [backup-simplify]: Simplify 1/2 into 1/2 0.706 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.706 * [taylor]: Taking taylor expansion of n in m 0.706 * [backup-simplify]: Simplify n into n 0.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.707 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.707 * [taylor]: Taking taylor expansion of M in m 0.707 * [backup-simplify]: Simplify M into M 0.707 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.707 * [taylor]: Taking taylor expansion of (/ 1 l) in m 0.707 * [taylor]: Taking taylor expansion of l in m 0.707 * [backup-simplify]: Simplify l into l 0.707 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.707 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.707 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.707 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.708 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.708 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.708 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.708 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 0.709 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.709 * [taylor]: Taking taylor expansion of 1/4 in n 0.709 * [backup-simplify]: Simplify 1/4 into 1/4 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.710 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.710 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.710 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.711 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.711 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.711 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.711 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.711 * [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)) 0.711 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.711 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 0.711 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.711 * [taylor]: Taking taylor expansion of 1/2 in n 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.712 * [taylor]: Taking taylor expansion of M in n 0.712 * [backup-simplify]: Simplify M into M 0.712 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [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))) 0.717 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 0.717 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 0.717 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 0.717 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.717 * [taylor]: Taking taylor expansion of M in n 0.717 * [backup-simplify]: Simplify M into M 0.717 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.717 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 0.718 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 0.718 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 0.718 * [taylor]: Taking taylor expansion of 1/4 in n 0.718 * [backup-simplify]: Simplify 1/4 into 1/4 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.718 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (* 1 1) into 1 0.718 * [backup-simplify]: Simplify (/ 1 1) into 1 0.718 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.718 * [taylor]: Taking taylor expansion of l in n 0.718 * [backup-simplify]: Simplify l into l 0.718 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.718 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 0.718 * [taylor]: Taking taylor expansion of (* M n) in n 0.718 * [taylor]: Taking taylor expansion of M in n 0.718 * [backup-simplify]: Simplify M into M 0.718 * [taylor]: Taking taylor expansion of n in n 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (* M 0) into 0 0.719 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.719 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.719 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.719 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.719 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.720 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.720 * [taylor]: Taking taylor expansion of 1/4 in M 0.720 * [backup-simplify]: Simplify 1/4 into 1/4 0.720 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.720 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.720 * [taylor]: Taking taylor expansion of 1/2 in M 0.720 * [backup-simplify]: Simplify 1/2 into 1/2 0.720 * [taylor]: Taking taylor expansion of 1/4 in M 0.720 * [backup-simplify]: Simplify 1/4 into 1/4 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [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 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in n 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.730 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.730 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.730 * [taylor]: Taking taylor expansion of M in M 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.732 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.732 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.732 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.732 * [taylor]: Taking taylor expansion of M in M 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [taylor]: Taking taylor expansion of 0 in M 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.735 * [backup-simplify]: Simplify (- 0) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.738 * [backup-simplify]: Simplify (- 0) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [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 0.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [taylor]: Taking taylor expansion of 0 in n 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.741 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 0.741 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 0.741 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 0.742 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.742 * [taylor]: Taking taylor expansion of M in M 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.742 * [taylor]: Taking taylor expansion of l in M 0.743 * [backup-simplify]: Simplify l into l 0.743 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.743 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [taylor]: Taking taylor expansion of 1 in l 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [taylor]: Taking taylor expansion of 0 in M 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [taylor]: Taking taylor expansion of 0 in M 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (- 1) into -1 0.745 * [taylor]: Taking taylor expansion of -1 in l 0.745 * [backup-simplify]: Simplify -1 into -1 0.745 * [backup-simplify]: Simplify (- 1) into -1 0.745 * [taylor]: Taking taylor expansion of -1 in l 0.745 * [backup-simplify]: Simplify -1 into -1 0.745 * [taylor]: Taking taylor expansion of 1/4 in l 0.745 * [backup-simplify]: Simplify 1/4 into 1/4 0.745 * [taylor]: Taking taylor expansion of 1/2 in l 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [taylor]: Taking taylor expansion of 1/4 in l 0.745 * [backup-simplify]: Simplify 1/4 into 1/4 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.755 * [backup-simplify]: Simplify (- 0) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in M 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.764 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [taylor]: Taking taylor expansion of 0 in M 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.767 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [taylor]: Taking taylor expansion of 0 in M 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [taylor]: Taking taylor expansion of 0 in M 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in l 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- 0) into 0 0.771 * [taylor]: Taking taylor expansion of 0 in l 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [taylor]: Taking taylor expansion of 0 in l 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [taylor]: Taking taylor expansion of 0 in l 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [taylor]: Taking taylor expansion of 0 in l 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [taylor]: Taking taylor expansion of 0 in l 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [taylor]: Taking taylor expansion of 0 in l 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify -1 into -1 0.773 * [backup-simplify]: Simplify -1 into -1 0.774 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 0.775 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 0.775 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 0.775 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 0.775 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.775 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 0.775 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.775 * [taylor]: Taking taylor expansion of M in l 0.775 * [backup-simplify]: Simplify M into M 0.775 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.775 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.775 * [taylor]: Taking taylor expansion of 1/2 in l 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.775 * [taylor]: Taking taylor expansion of m in l 0.775 * [backup-simplify]: Simplify m into m 0.775 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.775 * [taylor]: Taking taylor expansion of 1/2 in l 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.775 * [taylor]: Taking taylor expansion of n in l 0.775 * [backup-simplify]: Simplify n into n 0.775 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 0.776 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.776 * [taylor]: Taking taylor expansion of M in l 0.776 * [backup-simplify]: Simplify M into M 0.776 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.776 * [taylor]: Taking taylor expansion of 1/2 in l 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.776 * [taylor]: Taking taylor expansion of m in l 0.776 * [backup-simplify]: Simplify m into m 0.776 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.776 * [taylor]: Taking taylor expansion of 1/2 in l 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.776 * [taylor]: Taking taylor expansion of n in l 0.776 * [backup-simplify]: Simplify n into n 0.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.776 * [taylor]: Taking taylor expansion of (/ -1 l) in l 0.776 * [taylor]: Taking taylor expansion of -1 in l 0.776 * [backup-simplify]: Simplify -1 into -1 0.776 * [taylor]: Taking taylor expansion of l in l 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ -1 1) into -1 0.777 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 0.777 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.777 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 0.777 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.777 * [taylor]: Taking taylor expansion of M in M 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.778 * [taylor]: Taking taylor expansion of 1/2 in M 0.778 * [backup-simplify]: Simplify 1/2 into 1/2 0.778 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.778 * [taylor]: Taking taylor expansion of m in M 0.778 * [backup-simplify]: Simplify m into m 0.778 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.778 * [taylor]: Taking taylor expansion of 1/2 in M 0.778 * [backup-simplify]: Simplify 1/2 into 1/2 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.778 * [taylor]: Taking taylor expansion of n in M 0.778 * [backup-simplify]: Simplify n into n 0.778 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 0.778 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.778 * [taylor]: Taking taylor expansion of M in M 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.779 * [taylor]: Taking taylor expansion of 1/2 in M 0.779 * [backup-simplify]: Simplify 1/2 into 1/2 0.779 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.779 * [taylor]: Taking taylor expansion of m in M 0.779 * [backup-simplify]: Simplify m into m 0.779 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.779 * [taylor]: Taking taylor expansion of 1/2 in M 0.779 * [backup-simplify]: Simplify 1/2 into 1/2 0.779 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.779 * [taylor]: Taking taylor expansion of n in M 0.779 * [backup-simplify]: Simplify n into n 0.779 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.779 * [taylor]: Taking taylor expansion of (/ -1 l) in M 0.779 * [taylor]: Taking taylor expansion of -1 in M 0.779 * [backup-simplify]: Simplify -1 into -1 0.779 * [taylor]: Taking taylor expansion of l in M 0.779 * [backup-simplify]: Simplify l into l 0.779 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.779 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 0.779 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 0.779 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.779 * [taylor]: Taking taylor expansion of M in n 0.780 * [backup-simplify]: Simplify M into M 0.780 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.780 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.780 * [taylor]: Taking taylor expansion of 1/2 in n 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.780 * [taylor]: Taking taylor expansion of m in n 0.780 * [backup-simplify]: Simplify m into m 0.780 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.780 * [taylor]: Taking taylor expansion of 1/2 in n 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.780 * [taylor]: Taking taylor expansion of n in n 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 0.780 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.780 * [taylor]: Taking taylor expansion of M in n 0.780 * [backup-simplify]: Simplify M into M 0.780 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.780 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.780 * [taylor]: Taking taylor expansion of 1/2 in n 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.780 * [taylor]: Taking taylor expansion of m in n 0.780 * [backup-simplify]: Simplify m into m 0.780 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.780 * [taylor]: Taking taylor expansion of 1/2 in n 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (/ -1 l) in n 0.781 * [taylor]: Taking taylor expansion of -1 in n 0.781 * [backup-simplify]: Simplify -1 into -1 0.781 * [taylor]: Taking taylor expansion of l in n 0.781 * [backup-simplify]: Simplify l into l 0.781 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.781 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 0.781 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.781 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 0.781 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.781 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.781 * [taylor]: Taking taylor expansion of M in m 0.781 * [backup-simplify]: Simplify M into M 0.781 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.781 * [taylor]: Taking taylor expansion of 1/2 in m 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.781 * [taylor]: Taking taylor expansion of m in m 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.782 * [taylor]: Taking taylor expansion of 1/2 in m 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.782 * [taylor]: Taking taylor expansion of n in m 0.782 * [backup-simplify]: Simplify n into n 0.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.782 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.782 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.782 * [taylor]: Taking taylor expansion of M in m 0.782 * [backup-simplify]: Simplify M into M 0.782 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.782 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.782 * [taylor]: Taking taylor expansion of 1/2 in m 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.782 * [taylor]: Taking taylor expansion of m in m 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.782 * [taylor]: Taking taylor expansion of 1/2 in m 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.782 * [taylor]: Taking taylor expansion of n in m 0.782 * [backup-simplify]: Simplify n into n 0.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.782 * [taylor]: Taking taylor expansion of (/ -1 l) in m 0.782 * [taylor]: Taking taylor expansion of -1 in m 0.782 * [backup-simplify]: Simplify -1 into -1 0.782 * [taylor]: Taking taylor expansion of l in m 0.782 * [backup-simplify]: Simplify l into l 0.782 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.782 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 0.782 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.782 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 0.783 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.783 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.783 * [taylor]: Taking taylor expansion of M in m 0.783 * [backup-simplify]: Simplify M into M 0.783 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.783 * [taylor]: Taking taylor expansion of 1/2 in m 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.783 * [taylor]: Taking taylor expansion of m in m 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.783 * [taylor]: Taking taylor expansion of 1/2 in m 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.783 * [taylor]: Taking taylor expansion of n in m 0.783 * [backup-simplify]: Simplify n into n 0.783 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.783 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.783 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.783 * [taylor]: Taking taylor expansion of M in m 0.783 * [backup-simplify]: Simplify M into M 0.783 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.783 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.783 * [taylor]: Taking taylor expansion of 1/2 in m 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.783 * [taylor]: Taking taylor expansion of m in m 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.784 * [taylor]: Taking taylor expansion of 1/2 in m 0.784 * [backup-simplify]: Simplify 1/2 into 1/2 0.784 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.784 * [taylor]: Taking taylor expansion of n in m 0.784 * [backup-simplify]: Simplify n into n 0.784 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.784 * [taylor]: Taking taylor expansion of (/ -1 l) in m 0.784 * [taylor]: Taking taylor expansion of -1 in m 0.784 * [backup-simplify]: Simplify -1 into -1 0.784 * [taylor]: Taking taylor expansion of l in m 0.784 * [backup-simplify]: Simplify l into l 0.784 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.784 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.784 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.785 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.785 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 0.785 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.785 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.786 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.786 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 0.786 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 0.786 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.786 * [taylor]: Taking taylor expansion of 1/4 in n 0.786 * [backup-simplify]: Simplify 1/4 into 1/4 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.787 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.788 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 0.788 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.789 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.789 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.789 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 0.789 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 0.789 * [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)) 0.789 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.789 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 0.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.789 * [taylor]: Taking taylor expansion of 1/2 in n 0.789 * [backup-simplify]: Simplify 1/2 into 1/2 0.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.789 * [taylor]: Taking taylor expansion of n in n 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.789 * [taylor]: Taking taylor expansion of M in n 0.789 * [backup-simplify]: Simplify M into M 0.790 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (- 0) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [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))) 0.795 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 0.795 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 0.795 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.795 * [taylor]: Taking taylor expansion of M in n 0.795 * [backup-simplify]: Simplify M into M 0.795 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.795 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 0.795 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 0.795 * [taylor]: Taking taylor expansion of 1/4 in n 0.795 * [backup-simplify]: Simplify 1/4 into 1/4 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.795 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.795 * [taylor]: Taking taylor expansion of n in n 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 0.796 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 0.796 * [taylor]: Taking taylor expansion of (* M n) in n 0.796 * [taylor]: Taking taylor expansion of M in n 0.796 * [backup-simplify]: Simplify M into M 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* M 0) into 0 0.796 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.796 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.796 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.796 * [taylor]: Taking taylor expansion of l in n 0.796 * [backup-simplify]: Simplify l into l 0.796 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.797 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.797 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.797 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.797 * [taylor]: Taking taylor expansion of 1/4 in M 0.797 * [backup-simplify]: Simplify 1/4 into 1/4 0.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.798 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.798 * [taylor]: Taking taylor expansion of 1/2 in M 0.798 * [backup-simplify]: Simplify 1/2 into 1/2 0.798 * [taylor]: Taking taylor expansion of 1/4 in M 0.798 * [backup-simplify]: Simplify 1/4 into 1/4 0.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [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 0.804 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 0) into 0 0.804 * [taylor]: Taking taylor expansion of 0 in n 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 0.806 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.806 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.806 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.806 * [taylor]: Taking taylor expansion of M in M 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.807 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.807 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.807 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.807 * [taylor]: Taking taylor expansion of M in M 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [taylor]: Taking taylor expansion of 0 in M 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [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 0.820 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [taylor]: Taking taylor expansion of 0 in n 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.823 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 0.824 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.824 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 0.824 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 0.824 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 0.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 0.824 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.825 * [taylor]: Taking taylor expansion of M in M 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.825 * [taylor]: Taking taylor expansion of l in M 0.825 * [backup-simplify]: Simplify l into l 0.825 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [taylor]: Taking taylor expansion of 1 in l 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.829 * [backup-simplify]: Simplify (- 0) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [taylor]: Taking taylor expansion of 0 in M 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [taylor]: Taking taylor expansion of 0 in M 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (- 1) into -1 0.829 * [taylor]: Taking taylor expansion of -1 in l 0.829 * [backup-simplify]: Simplify -1 into -1 0.830 * [backup-simplify]: Simplify (- 1) into -1 0.830 * [taylor]: Taking taylor expansion of -1 in l 0.830 * [backup-simplify]: Simplify -1 into -1 0.830 * [taylor]: Taking taylor expansion of 1/4 in l 0.830 * [backup-simplify]: Simplify 1/4 into 1/4 0.830 * [taylor]: Taking taylor expansion of 1/2 in l 0.830 * [backup-simplify]: Simplify 1/2 into 1/2 0.830 * [taylor]: Taking taylor expansion of 1/4 in l 0.830 * [backup-simplify]: Simplify 1/4 into 1/4 0.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 0.846 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [taylor]: Taking taylor expansion of 0 in n 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [taylor]: Taking taylor expansion of 0 in M 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [taylor]: Taking taylor expansion of 0 in M 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in M 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [taylor]: Taking taylor expansion of 0 in M 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [taylor]: Taking taylor expansion of 0 in l 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [taylor]: Taking taylor expansion of 0 in l 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in l 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in l 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in l 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in l 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in l 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify -1 into -1 0.861 * [backup-simplify]: Simplify -1 into -1 0.861 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 0.861 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.861 * [backup-simplify]: Simplify (- (* (/ K 2) (+ m n)) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 0.862 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (K m n M) around 0 0.862 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 0.862 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 0.862 * [taylor]: Taking taylor expansion of 1/2 in M 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* K n) in M 0.862 * [taylor]: Taking taylor expansion of K in M 0.862 * [backup-simplify]: Simplify K into K 0.862 * [taylor]: Taking taylor expansion of n in M 0.862 * [backup-simplify]: Simplify n into n 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 0.862 * [taylor]: Taking taylor expansion of 1/2 in M 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* K m) in M 0.862 * [taylor]: Taking taylor expansion of K in M 0.862 * [backup-simplify]: Simplify K into K 0.862 * [taylor]: Taking taylor expansion of m in M 0.862 * [backup-simplify]: Simplify m into m 0.862 * [taylor]: Taking taylor expansion of M in M 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 0.862 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 0.862 * [taylor]: Taking taylor expansion of 1/2 in n 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* K n) in n 0.862 * [taylor]: Taking taylor expansion of K in n 0.862 * [backup-simplify]: Simplify K into K 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 0.862 * [taylor]: Taking taylor expansion of 1/2 in n 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* K m) in n 0.862 * [taylor]: Taking taylor expansion of K in n 0.862 * [backup-simplify]: Simplify K into K 0.862 * [taylor]: Taking taylor expansion of m in n 0.862 * [backup-simplify]: Simplify m into m 0.862 * [taylor]: Taking taylor expansion of M in n 0.862 * [backup-simplify]: Simplify M into M 0.862 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 0.862 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 0.862 * [taylor]: Taking taylor expansion of 1/2 in m 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* K n) in m 0.862 * [taylor]: Taking taylor expansion of K in m 0.862 * [backup-simplify]: Simplify K into K 0.862 * [taylor]: Taking taylor expansion of n in m 0.862 * [backup-simplify]: Simplify n into n 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 0.862 * [taylor]: Taking taylor expansion of 1/2 in m 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of (* K m) in m 0.862 * [taylor]: Taking taylor expansion of K in m 0.862 * [backup-simplify]: Simplify K into K 0.862 * [taylor]: Taking taylor expansion of m in m 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of M in m 0.863 * [backup-simplify]: Simplify M into M 0.863 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 0.863 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 0.863 * [taylor]: Taking taylor expansion of 1/2 in K 0.863 * [backup-simplify]: Simplify 1/2 into 1/2 0.863 * [taylor]: Taking taylor expansion of (* K n) in K 0.863 * [taylor]: Taking taylor expansion of K in K 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of n in K 0.863 * [backup-simplify]: Simplify n into n 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 0.863 * [taylor]: Taking taylor expansion of 1/2 in K 0.863 * [backup-simplify]: Simplify 1/2 into 1/2 0.863 * [taylor]: Taking taylor expansion of (* K m) in K 0.863 * [taylor]: Taking taylor expansion of K in K 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of m in K 0.863 * [backup-simplify]: Simplify m into m 0.863 * [taylor]: Taking taylor expansion of M in K 0.863 * [backup-simplify]: Simplify M into M 0.863 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 0.863 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 0.863 * [taylor]: Taking taylor expansion of 1/2 in K 0.863 * [backup-simplify]: Simplify 1/2 into 1/2 0.863 * [taylor]: Taking taylor expansion of (* K n) in K 0.863 * [taylor]: Taking taylor expansion of K in K 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of n in K 0.863 * [backup-simplify]: Simplify n into n 0.863 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 0.863 * [taylor]: Taking taylor expansion of 1/2 in K 0.863 * [backup-simplify]: Simplify 1/2 into 1/2 0.863 * [taylor]: Taking taylor expansion of (* K m) in K 0.863 * [taylor]: Taking taylor expansion of K in K 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of m in K 0.863 * [backup-simplify]: Simplify m into m 0.863 * [taylor]: Taking taylor expansion of M in K 0.863 * [backup-simplify]: Simplify M into M 0.863 * [backup-simplify]: Simplify (* 0 n) into 0 0.864 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.864 * [backup-simplify]: Simplify (* 0 m) into 0 0.864 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (- M) into (- M) 0.864 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.864 * [taylor]: Taking taylor expansion of (- M) in m 0.864 * [taylor]: Taking taylor expansion of M in m 0.864 * [backup-simplify]: Simplify M into M 0.864 * [backup-simplify]: Simplify (- M) into (- M) 0.864 * [taylor]: Taking taylor expansion of (- M) in n 0.864 * [taylor]: Taking taylor expansion of M in n 0.865 * [backup-simplify]: Simplify M into M 0.865 * [backup-simplify]: Simplify (- M) into (- M) 0.865 * [taylor]: Taking taylor expansion of (- M) in M 0.865 * [taylor]: Taking taylor expansion of M in M 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.865 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 0.866 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 0.866 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 0.866 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 0.866 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.866 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.866 * [taylor]: Taking taylor expansion of 1/2 in m 0.866 * [backup-simplify]: Simplify 1/2 into 1/2 0.866 * [taylor]: Taking taylor expansion of m in m 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.867 * [taylor]: Taking taylor expansion of 1/2 in m 0.867 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [taylor]: Taking taylor expansion of n in m 0.867 * [backup-simplify]: Simplify n into n 0.867 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.867 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.867 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.867 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.867 * [taylor]: Taking taylor expansion of 1/2 in n 0.867 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.867 * [taylor]: Taking taylor expansion of 0 in M 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (- 0) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in n 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [taylor]: Taking taylor expansion of 0 in M 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (- 0) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in M 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (- 1) into -1 0.868 * [backup-simplify]: Simplify -1 into -1 0.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [taylor]: Taking taylor expansion of 0 in m 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [taylor]: Taking taylor expansion of 0 in n 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [taylor]: Taking taylor expansion of 0 in M 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.872 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.872 * [taylor]: Taking taylor expansion of 1/2 in n 0.872 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [taylor]: Taking taylor expansion of 1/2 in M 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [backup-simplify]: Simplify (- 0) into 0 0.873 * [taylor]: Taking taylor expansion of 0 in n 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [taylor]: Taking taylor expansion of 0 in M 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.873 * [taylor]: Taking taylor expansion of 1/2 in M 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.874 * [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) 0.874 * [backup-simplify]: Simplify (- (* (/ (/ 1 K) 2) (+ (/ 1 m) (/ 1 n))) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 0.874 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (K m n M) around 0 0.874 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 0.874 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.874 * [taylor]: Taking taylor expansion of 1/2 in M 0.874 * [backup-simplify]: Simplify 1/2 into 1/2 0.874 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.874 * [taylor]: Taking taylor expansion of (* m K) in M 0.874 * [taylor]: Taking taylor expansion of m in M 0.874 * [backup-simplify]: Simplify m into m 0.874 * [taylor]: Taking taylor expansion of K in M 0.874 * [backup-simplify]: Simplify K into K 0.874 * [backup-simplify]: Simplify (* m K) into (* m K) 0.874 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.874 * [taylor]: Taking taylor expansion of 1/2 in M 0.874 * [backup-simplify]: Simplify 1/2 into 1/2 0.874 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.874 * [taylor]: Taking taylor expansion of (* K n) in M 0.874 * [taylor]: Taking taylor expansion of K in M 0.875 * [backup-simplify]: Simplify K into K 0.875 * [taylor]: Taking taylor expansion of n in M 0.875 * [backup-simplify]: Simplify n into n 0.875 * [backup-simplify]: Simplify (* K n) into (* K n) 0.875 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.875 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.875 * [taylor]: Taking taylor expansion of M in M 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 0.875 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.875 * [taylor]: Taking taylor expansion of 1/2 in n 0.875 * [backup-simplify]: Simplify 1/2 into 1/2 0.875 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.875 * [taylor]: Taking taylor expansion of (* m K) in n 0.875 * [taylor]: Taking taylor expansion of m in n 0.875 * [backup-simplify]: Simplify m into m 0.875 * [taylor]: Taking taylor expansion of K in n 0.875 * [backup-simplify]: Simplify K into K 0.875 * [backup-simplify]: Simplify (* m K) into (* m K) 0.875 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.875 * [taylor]: Taking taylor expansion of 1/2 in n 0.875 * [backup-simplify]: Simplify 1/2 into 1/2 0.875 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.875 * [taylor]: Taking taylor expansion of (* K n) in n 0.875 * [taylor]: Taking taylor expansion of K in n 0.875 * [backup-simplify]: Simplify K into K 0.875 * [taylor]: Taking taylor expansion of n in n 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (* K 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.876 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.876 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.876 * [taylor]: Taking taylor expansion of M in n 0.876 * [backup-simplify]: Simplify M into M 0.876 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.876 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 0.876 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.876 * [taylor]: Taking taylor expansion of 1/2 in m 0.876 * [backup-simplify]: Simplify 1/2 into 1/2 0.876 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.876 * [taylor]: Taking taylor expansion of (* m K) in m 0.876 * [taylor]: Taking taylor expansion of m in m 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [taylor]: Taking taylor expansion of K in m 0.876 * [backup-simplify]: Simplify K into K 0.876 * [backup-simplify]: Simplify (* 0 K) into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.876 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.876 * [taylor]: Taking taylor expansion of 1/2 in m 0.876 * [backup-simplify]: Simplify 1/2 into 1/2 0.876 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.876 * [taylor]: Taking taylor expansion of (* K n) in m 0.876 * [taylor]: Taking taylor expansion of K in m 0.876 * [backup-simplify]: Simplify K into K 0.876 * [taylor]: Taking taylor expansion of n in m 0.877 * [backup-simplify]: Simplify n into n 0.877 * [backup-simplify]: Simplify (* K n) into (* K n) 0.877 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.877 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.877 * [taylor]: Taking taylor expansion of M in m 0.877 * [backup-simplify]: Simplify M into M 0.877 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.877 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 0.877 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.877 * [taylor]: Taking taylor expansion of 1/2 in K 0.877 * [backup-simplify]: Simplify 1/2 into 1/2 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.877 * [taylor]: Taking taylor expansion of (* m K) in K 0.877 * [taylor]: Taking taylor expansion of m in K 0.877 * [backup-simplify]: Simplify m into m 0.877 * [taylor]: Taking taylor expansion of K in K 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (* m 0) into 0 0.877 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.877 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.877 * [taylor]: Taking taylor expansion of 1/2 in K 0.877 * [backup-simplify]: Simplify 1/2 into 1/2 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.877 * [taylor]: Taking taylor expansion of (* K n) in K 0.877 * [taylor]: Taking taylor expansion of K in K 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [taylor]: Taking taylor expansion of n in K 0.877 * [backup-simplify]: Simplify n into n 0.877 * [backup-simplify]: Simplify (* 0 n) into 0 0.878 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.878 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.878 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.878 * [taylor]: Taking taylor expansion of M in K 0.878 * [backup-simplify]: Simplify M into M 0.878 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.878 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 0.878 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.878 * [taylor]: Taking taylor expansion of 1/2 in K 0.878 * [backup-simplify]: Simplify 1/2 into 1/2 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.878 * [taylor]: Taking taylor expansion of (* m K) in K 0.878 * [taylor]: Taking taylor expansion of m in K 0.878 * [backup-simplify]: Simplify m into m 0.878 * [taylor]: Taking taylor expansion of K in K 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (* m 0) into 0 0.878 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.878 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.878 * [taylor]: Taking taylor expansion of 1/2 in K 0.878 * [backup-simplify]: Simplify 1/2 into 1/2 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.878 * [taylor]: Taking taylor expansion of (* K n) in K 0.878 * [taylor]: Taking taylor expansion of K in K 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of n in K 0.878 * [backup-simplify]: Simplify n into n 0.878 * [backup-simplify]: Simplify (* 0 n) into 0 0.879 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.879 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.879 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.879 * [taylor]: Taking taylor expansion of M in K 0.879 * [backup-simplify]: Simplify M into M 0.879 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.879 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.879 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.879 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.879 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.879 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.879 * [taylor]: Taking taylor expansion of 1/2 in m 0.879 * [backup-simplify]: Simplify 1/2 into 1/2 0.879 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.879 * [taylor]: Taking taylor expansion of m in m 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.880 * [taylor]: Taking taylor expansion of 1/2 in m 0.880 * [backup-simplify]: Simplify 1/2 into 1/2 0.880 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.880 * [taylor]: Taking taylor expansion of n in m 0.880 * [backup-simplify]: Simplify n into n 0.880 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.880 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.880 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.880 * [taylor]: Taking taylor expansion of 1/2 in n 0.880 * [backup-simplify]: Simplify 1/2 into 1/2 0.881 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 0.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.882 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.882 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in m 0.882 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.882 * [taylor]: Taking taylor expansion of M in m 0.883 * [backup-simplify]: Simplify M into M 0.883 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.883 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.884 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.884 * [taylor]: Taking taylor expansion of 1/2 in n 0.884 * [backup-simplify]: Simplify 1/2 into 1/2 0.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.884 * [taylor]: Taking taylor expansion of n in n 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.884 * [taylor]: Taking taylor expansion of 1/2 in M 0.884 * [backup-simplify]: Simplify 1/2 into 1/2 0.884 * [taylor]: Taking taylor expansion of 1/2 in M 0.884 * [backup-simplify]: Simplify 1/2 into 1/2 0.885 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.887 * [backup-simplify]: Simplify (- 0) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [taylor]: Taking taylor expansion of 0 in m 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.888 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in n 0.888 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.888 * [taylor]: Taking taylor expansion of M in n 0.888 * [backup-simplify]: Simplify M into M 0.888 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [taylor]: Taking taylor expansion of 0 in n 0.889 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.890 * [taylor]: Taking taylor expansion of 0 in M 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in M 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [taylor]: Taking taylor expansion of 0 in m 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [taylor]: Taking taylor expansion of 0 in n 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [taylor]: Taking taylor expansion of 0 in n 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.897 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [taylor]: Taking taylor expansion of 0 in n 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.897 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.897 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.897 * [taylor]: Taking taylor expansion of M in M 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [backup-simplify]: Simplify (- 1) into -1 0.898 * [backup-simplify]: Simplify -1 into -1 0.899 * [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) 0.899 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- K)) 2) (+ (/ 1 (- m)) (/ 1 (- n)))) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 0.899 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (K m n M) around 0 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 0.899 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.899 * [taylor]: Taking taylor expansion of M in M 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.899 * [taylor]: Taking taylor expansion of 1/2 in M 0.899 * [backup-simplify]: Simplify 1/2 into 1/2 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.899 * [taylor]: Taking taylor expansion of (* m K) in M 0.899 * [taylor]: Taking taylor expansion of m in M 0.899 * [backup-simplify]: Simplify m into m 0.899 * [taylor]: Taking taylor expansion of K in M 0.899 * [backup-simplify]: Simplify K into K 0.899 * [backup-simplify]: Simplify (* m K) into (* m K) 0.899 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.900 * [taylor]: Taking taylor expansion of 1/2 in M 0.900 * [backup-simplify]: Simplify 1/2 into 1/2 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.900 * [taylor]: Taking taylor expansion of (* K n) in M 0.900 * [taylor]: Taking taylor expansion of K in M 0.900 * [backup-simplify]: Simplify K into K 0.900 * [taylor]: Taking taylor expansion of n in M 0.900 * [backup-simplify]: Simplify n into n 0.900 * [backup-simplify]: Simplify (* K n) into (* K n) 0.900 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 0.900 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.900 * [taylor]: Taking taylor expansion of M in n 0.900 * [backup-simplify]: Simplify M into M 0.900 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.900 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.900 * [taylor]: Taking taylor expansion of 1/2 in n 0.900 * [backup-simplify]: Simplify 1/2 into 1/2 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.900 * [taylor]: Taking taylor expansion of (* m K) in n 0.900 * [taylor]: Taking taylor expansion of m in n 0.900 * [backup-simplify]: Simplify m into m 0.900 * [taylor]: Taking taylor expansion of K in n 0.900 * [backup-simplify]: Simplify K into K 0.900 * [backup-simplify]: Simplify (* m K) into (* m K) 0.900 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.900 * [taylor]: Taking taylor expansion of 1/2 in n 0.900 * [backup-simplify]: Simplify 1/2 into 1/2 0.900 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.900 * [taylor]: Taking taylor expansion of (* K n) in n 0.900 * [taylor]: Taking taylor expansion of K in n 0.900 * [backup-simplify]: Simplify K into K 0.900 * [taylor]: Taking taylor expansion of n in n 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (* K 0) into 0 0.901 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.901 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 0.901 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.901 * [taylor]: Taking taylor expansion of M in m 0.901 * [backup-simplify]: Simplify M into M 0.901 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.901 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.901 * [taylor]: Taking taylor expansion of 1/2 in m 0.901 * [backup-simplify]: Simplify 1/2 into 1/2 0.901 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.901 * [taylor]: Taking taylor expansion of (* m K) in m 0.901 * [taylor]: Taking taylor expansion of m in m 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [taylor]: Taking taylor expansion of K in m 0.901 * [backup-simplify]: Simplify K into K 0.901 * [backup-simplify]: Simplify (* 0 K) into 0 0.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.901 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.901 * [taylor]: Taking taylor expansion of 1/2 in m 0.901 * [backup-simplify]: Simplify 1/2 into 1/2 0.901 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.901 * [taylor]: Taking taylor expansion of (* K n) in m 0.901 * [taylor]: Taking taylor expansion of K in m 0.901 * [backup-simplify]: Simplify K into K 0.901 * [taylor]: Taking taylor expansion of n in m 0.901 * [backup-simplify]: Simplify n into n 0.901 * [backup-simplify]: Simplify (* K n) into (* K n) 0.901 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 0.902 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.902 * [taylor]: Taking taylor expansion of M in K 0.902 * [backup-simplify]: Simplify M into M 0.902 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.902 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.902 * [taylor]: Taking taylor expansion of 1/2 in K 0.902 * [backup-simplify]: Simplify 1/2 into 1/2 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.902 * [taylor]: Taking taylor expansion of (* m K) in K 0.902 * [taylor]: Taking taylor expansion of m in K 0.902 * [backup-simplify]: Simplify m into m 0.902 * [taylor]: Taking taylor expansion of K in K 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* m 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.902 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.902 * [taylor]: Taking taylor expansion of 1/2 in K 0.902 * [backup-simplify]: Simplify 1/2 into 1/2 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.902 * [taylor]: Taking taylor expansion of (* K n) in K 0.902 * [taylor]: Taking taylor expansion of K in K 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of n in K 0.902 * [backup-simplify]: Simplify n into n 0.902 * [backup-simplify]: Simplify (* 0 n) into 0 0.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.903 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 0.903 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.903 * [taylor]: Taking taylor expansion of M in K 0.903 * [backup-simplify]: Simplify M into M 0.903 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.903 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.903 * [taylor]: Taking taylor expansion of 1/2 in K 0.903 * [backup-simplify]: Simplify 1/2 into 1/2 0.903 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.903 * [taylor]: Taking taylor expansion of (* m K) in K 0.903 * [taylor]: Taking taylor expansion of m in K 0.903 * [backup-simplify]: Simplify m into m 0.903 * [taylor]: Taking taylor expansion of K in K 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* m 0) into 0 0.903 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.903 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.903 * [taylor]: Taking taylor expansion of 1/2 in K 0.903 * [backup-simplify]: Simplify 1/2 into 1/2 0.903 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.903 * [taylor]: Taking taylor expansion of (* K n) in K 0.903 * [taylor]: Taking taylor expansion of K in K 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [taylor]: Taking taylor expansion of n in K 0.903 * [backup-simplify]: Simplify n into n 0.903 * [backup-simplify]: Simplify (* 0 n) into 0 0.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.904 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.904 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.904 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.904 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.904 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.904 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.904 * [taylor]: Taking taylor expansion of 1/2 in m 0.904 * [backup-simplify]: Simplify 1/2 into 1/2 0.904 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.904 * [taylor]: Taking taylor expansion of m in m 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.905 * [taylor]: Taking taylor expansion of 1/2 in m 0.905 * [backup-simplify]: Simplify 1/2 into 1/2 0.905 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.905 * [taylor]: Taking taylor expansion of n in m 0.905 * [backup-simplify]: Simplify n into n 0.905 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.905 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.905 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.905 * [taylor]: Taking taylor expansion of 1/2 in n 0.905 * [backup-simplify]: Simplify 1/2 into 1/2 0.906 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 0.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 0.907 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.907 * [taylor]: Taking taylor expansion of M in m 0.907 * [backup-simplify]: Simplify M into M 0.907 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.909 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.909 * [taylor]: Taking taylor expansion of 1/2 in n 0.909 * [backup-simplify]: Simplify 1/2 into 1/2 0.909 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.910 * [taylor]: Taking taylor expansion of 1/2 in M 0.910 * [backup-simplify]: Simplify 1/2 into 1/2 0.910 * [taylor]: Taking taylor expansion of 1/2 in M 0.910 * [backup-simplify]: Simplify 1/2 into 1/2 0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in m 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.915 * [taylor]: Taking taylor expansion of M in n 0.915 * [backup-simplify]: Simplify M into M 0.915 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [taylor]: Taking taylor expansion of 0 in n 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.920 * [taylor]: Taking taylor expansion of 0 in M 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in M 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [taylor]: Taking taylor expansion of 0 in m 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in n 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in n 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [taylor]: Taking taylor expansion of 0 in n 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.928 * [taylor]: Taking taylor expansion of M in M 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.928 * [backup-simplify]: Simplify 1 into 1 0.929 * [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) 0.929 * * * [progress]: simplifying candidates 0.929 * * * * [progress]: [ 1 / 104 ] simplifiying candidate # 0.929 * * * * [progress]: [ 2 / 104 ] simplifiying candidate # 0.929 * * * * [progress]: [ 3 / 104 ] simplifiying candidate # 0.929 * [simplify]: Simplifying (* (cos (fma (/ K 2) (+ m n) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 0.929 * * [simplify]: iters left: 6 (17 enodes) 0.933 * * [simplify]: iters left: 5 (62 enodes) 0.943 * * [simplify]: iters left: 4 (85 enodes) 0.966 * * [simplify]: iters left: 3 (137 enodes) 1.008 * * [simplify]: iters left: 2 (200 enodes) 1.051 * * [simplify]: iters left: 1 (222 enodes) 1.089 * * [simplify]: Extracting #0: cost 1 inf + 0 1.089 * * [simplify]: Extracting #1: cost 4 inf + 0 1.090 * * [simplify]: Extracting #2: cost 8 inf + 0 1.090 * * [simplify]: Extracting #3: cost 32 inf + 0 1.090 * * [simplify]: Extracting #4: cost 46 inf + 713 1.091 * * [simplify]: Extracting #5: cost 40 inf + 1673 1.093 * * [simplify]: Extracting #6: cost 8 inf + 5002 1.097 * * [simplify]: Extracting #7: cost 1 inf + 6159 1.100 * * [simplify]: Extracting #8: cost 0 inf + 6323 1.103 * [simplify]: Simplified to (* (cos (+ (- M) M)) (cos (- (* (/ K 2) (+ m n)) M))) 1.104 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (+ (- M) M)) (cos (- (* (/ K 2) (+ m n)) M))) (* (sin (fma (/ K 2) (+ m n) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.104 * * * * [progress]: [ 4 / 104 ] simplifiying candidate # 1.104 * [simplify]: Simplifying (* (cos (fma (/ K 2) (+ m n) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 1.105 * * [simplify]: iters left: 6 (16 enodes) 1.112 * * [simplify]: iters left: 5 (52 enodes) 1.121 * * [simplify]: iters left: 4 (70 enodes) 1.134 * * [simplify]: iters left: 3 (128 enodes) 1.155 * * [simplify]: iters left: 2 (178 enodes) 1.185 * * [simplify]: iters left: 1 (193 enodes) 1.228 * * [simplify]: Extracting #0: cost 1 inf + 0 1.228 * * [simplify]: Extracting #1: cost 4 inf + 0 1.228 * * [simplify]: Extracting #2: cost 5 inf + 1 1.228 * * [simplify]: Extracting #3: cost 26 inf + 1 1.229 * * [simplify]: Extracting #4: cost 42 inf + 210 1.229 * * [simplify]: Extracting #5: cost 39 inf + 708 1.231 * * [simplify]: Extracting #6: cost 12 inf + 3464 1.234 * * [simplify]: Extracting #7: cost 2 inf + 4620 1.236 * * [simplify]: Extracting #8: cost 0 inf + 4878 1.239 * [simplify]: Simplified to (* 1 (cos (- (* (/ K 2) (+ m n)) M))) 1.239 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* 1 (cos (- (* (/ K 2) (+ m n)) M))) (* (sin (fma (/ K 2) (+ m n) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.240 * * * * [progress]: [ 5 / 104 ] simplifiying candidate # 1.240 * [simplify]: Simplifying (* (cos (fma (/ K 2) (+ m n) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 1.240 * * [simplify]: iters left: 6 (16 enodes) 1.248 * * [simplify]: iters left: 5 (52 enodes) 1.261 * * [simplify]: iters left: 4 (74 enodes) 1.275 * * [simplify]: iters left: 3 (133 enodes) 1.307 * * [simplify]: iters left: 2 (186 enodes) 1.347 * * [simplify]: iters left: 1 (200 enodes) 1.387 * * [simplify]: Extracting #0: cost 1 inf + 0 1.387 * * [simplify]: Extracting #1: cost 4 inf + 0 1.387 * * [simplify]: Extracting #2: cost 8 inf + 0 1.387 * * [simplify]: Extracting #3: cost 29 inf + 0 1.388 * * [simplify]: Extracting #4: cost 44 inf + 88 1.388 * * [simplify]: Extracting #5: cost 41 inf + 783 1.390 * * [simplify]: Extracting #6: cost 8 inf + 4202 1.392 * * [simplify]: Extracting #7: cost 0 inf + 5306 1.395 * [simplify]: Simplified to (* (cos (+ (- M) M)) (cos (fma (+ m n) (/ K 2) (- M)))) 1.395 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (+ (- M) M)) (cos (fma (+ m n) (/ K 2) (- M)))) (* (sin (fma (/ K 2) (+ m n) (- (* M 1)))) (sin (fma (- M) 1 (* M 1))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.395 * * * * [progress]: [ 6 / 104 ] simplifiying candidate # 1.395 * [simplify]: Simplifying (* (cos (* (/ K 2) (+ m n))) (cos (- M))) 1.396 * * [simplify]: iters left: 6 (12 enodes) 1.402 * * [simplify]: iters left: 5 (48 enodes) 1.421 * * [simplify]: iters left: 4 (78 enodes) 1.443 * * [simplify]: iters left: 3 (101 enodes) 1.456 * * [simplify]: iters left: 2 (112 enodes) 1.470 * * [simplify]: iters left: 1 (124 enodes) 1.485 * * [simplify]: Extracting #0: cost 1 inf + 0 1.485 * * [simplify]: Extracting #1: cost 4 inf + 0 1.485 * * [simplify]: Extracting #2: cost 9 inf + 0 1.485 * * [simplify]: Extracting #3: cost 26 inf + 62 1.485 * * [simplify]: Extracting #4: cost 34 inf + 210 1.486 * * [simplify]: Extracting #5: cost 10 inf + 2384 1.487 * * [simplify]: Extracting #6: cost 0 inf + 3393 1.487 * [simplify]: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) 1.487 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (* (/ K 2) (+ m n))) (sin (- M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.488 * * * * [progress]: [ 7 / 104 ] simplifiying candidate # 1.488 * [simplify]: Simplifying (* (cos (* (/ K 2) m)) (cos (- (* (/ K 2) n) M))) 1.488 * * [simplify]: iters left: 6 (12 enodes) 1.491 * * [simplify]: iters left: 5 (46 enodes) 1.498 * * [simplify]: iters left: 4 (62 enodes) 1.517 * * [simplify]: iters left: 3 (66 enodes) 1.533 * * [simplify]: Extracting #0: cost 1 inf + 0 1.533 * * [simplify]: Extracting #1: cost 4 inf + 0 1.533 * * [simplify]: Extracting #2: cost 8 inf + 0 1.533 * * [simplify]: Extracting #3: cost 20 inf + 0 1.533 * * [simplify]: Extracting #4: cost 21 inf + 46 1.534 * * [simplify]: Extracting #5: cost 9 inf + 939 1.535 * * [simplify]: Extracting #6: cost 0 inf + 2391 1.536 * [simplify]: Simplified to (* (cos (* (/ K 2) m)) (cos (- (* n (/ K 2)) M))) 1.536 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) m)) (cos (- (* n (/ K 2)) M))) (* (sin (* (/ K 2) m)) (sin (- (* (/ K 2) n) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.536 * * * * [progress]: [ 8 / 104 ] simplifiying candidate # 1.536 * [simplify]: Simplifying (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) 1.537 * * [simplify]: iters left: 6 (12 enodes) 1.543 * * [simplify]: iters left: 5 (46 enodes) 1.558 * * [simplify]: iters left: 4 (61 enodes) 1.568 * * [simplify]: iters left: 3 (67 enodes) 1.578 * * [simplify]: iters left: 2 (75 enodes) 1.589 * * [simplify]: iters left: 1 (81 enodes) 1.607 * * [simplify]: Extracting #0: cost 1 inf + 0 1.607 * * [simplify]: Extracting #1: cost 4 inf + 0 1.607 * * [simplify]: Extracting #2: cost 8 inf + 0 1.607 * * [simplify]: Extracting #3: cost 22 inf + 0 1.608 * * [simplify]: Extracting #4: cost 23 inf + 310 1.608 * * [simplify]: Extracting #5: cost 6 inf + 1769 1.609 * * [simplify]: Extracting #6: cost 0 inf + 2643 1.611 * [simplify]: Simplified to (* (cos (* (/ K 2) m)) (cos (- (* (/ K 2) n) M))) 1.611 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) m)) (cos (- (* (/ K 2) n) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.611 * * * * [progress]: [ 9 / 104 ] simplifiying candidate # 1.611 * [simplify]: Simplifying (* (cos (* (/ K 2) (+ m n))) (cos (- M))) 1.611 * * [simplify]: iters left: 6 (12 enodes) 1.618 * * [simplify]: iters left: 5 (48 enodes) 1.632 * * [simplify]: iters left: 4 (78 enodes) 1.645 * * [simplify]: iters left: 3 (101 enodes) 1.656 * * [simplify]: iters left: 2 (112 enodes) 1.684 * * [simplify]: iters left: 1 (124 enodes) 1.714 * * [simplify]: Extracting #0: cost 1 inf + 0 1.714 * * [simplify]: Extracting #1: cost 4 inf + 0 1.714 * * [simplify]: Extracting #2: cost 9 inf + 0 1.714 * * [simplify]: Extracting #3: cost 26 inf + 62 1.714 * * [simplify]: Extracting #4: cost 34 inf + 210 1.715 * * [simplify]: Extracting #5: cost 10 inf + 2384 1.717 * * [simplify]: Extracting #6: cost 0 inf + 3393 1.719 * [simplify]: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) 1.719 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (* (/ K 2) (+ m n))) (sin (- M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.719 * * * * [progress]: [ 10 / 104 ] simplifiying candidate # 1.719 * [simplify]: Simplifying (* (cos (* (/ K 2) (+ m n))) (cos M)) 1.720 * * [simplify]: iters left: 6 (11 enodes) 1.725 * * [simplify]: iters left: 5 (44 enodes) 1.741 * * [simplify]: iters left: 4 (74 enodes) 1.765 * * [simplify]: iters left: 3 (97 enodes) 1.780 * * [simplify]: iters left: 2 (108 enodes) 1.794 * * [simplify]: iters left: 1 (120 enodes) 1.817 * * [simplify]: Extracting #0: cost 1 inf + 0 1.817 * * [simplify]: Extracting #1: cost 4 inf + 0 1.817 * * [simplify]: Extracting #2: cost 8 inf + 0 1.817 * * [simplify]: Extracting #3: cost 24 inf + 62 1.817 * * [simplify]: Extracting #4: cost 32 inf + 252 1.817 * * [simplify]: Extracting #5: cost 12 inf + 1935 1.818 * * [simplify]: Extracting #6: cost 0 inf + 3311 1.819 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) 1.819 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (+ (* (cos M) (cos (* (/ K 2) (+ m n)))) (* (sin (* (/ K 2) (+ m n))) (sin M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.819 * * * * [progress]: [ 11 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 12 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 13 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 14 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 15 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 16 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 17 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 18 / 104 ] simplifiying candidate #real (real->posit16 (cos (- (* (/ K 2) (+ m n)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 1.819 * * * * [progress]: [ 19 / 104 ] simplifiying candidate # 1.819 * * * * [progress]: [ 20 / 104 ] simplifiying candidate # 1.820 * * * * [progress]: [ 21 / 104 ] simplifiying candidate # 1.820 * [simplify]: Simplifying (* (/ K 2) (+ m n)) 1.820 * * [simplify]: iters left: 4 (7 enodes) 1.822 * * [simplify]: iters left: 3 (31 enodes) 1.828 * * [simplify]: iters left: 2 (61 enodes) 1.838 * * [simplify]: iters left: 1 (84 enodes) 1.848 * * [simplify]: Extracting #0: cost 1 inf + 0 1.848 * * [simplify]: Extracting #1: cost 13 inf + 0 1.848 * * [simplify]: Extracting #2: cost 21 inf + 46 1.848 * * [simplify]: Extracting #3: cost 6 inf + 1295 1.849 * * [simplify]: Extracting #4: cost 0 inf + 1588 1.849 * [simplify]: Simplified to (* (/ K 2) (+ m n)) 1.849 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (pow (* (/ K 2) (+ m n)) 1) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.849 * * * * [progress]: [ 22 / 104 ] simplifiying candidate # 1.849 * * * * [progress]: [ 23 / 104 ] simplifiying candidate # 1.850 * [simplify]: Simplifying (+ (- (log K) (log 2)) (log (+ m n))) 1.850 * * [simplify]: iters left: 5 (10 enodes) 1.856 * * [simplify]: iters left: 4 (36 enodes) 1.867 * * [simplify]: iters left: 3 (50 enodes) 1.883 * * [simplify]: iters left: 2 (67 enodes) 1.902 * * [simplify]: iters left: 1 (74 enodes) 1.912 * * [simplify]: Extracting #0: cost 1 inf + 0 1.912 * * [simplify]: Extracting #1: cost 13 inf + 0 1.912 * * [simplify]: Extracting #2: cost 25 inf + 0 1.912 * * [simplify]: Extracting #3: cost 22 inf + 366 1.912 * * [simplify]: Extracting #4: cost 15 inf + 1056 1.912 * * [simplify]: Extracting #5: cost 10 inf + 1698 1.913 * * [simplify]: Extracting #6: cost 2 inf + 3451 1.913 * * [simplify]: Extracting #7: cost 0 inf + 3937 1.914 * [simplify]: Simplified to (+ (log (+ m n)) (- (log K) (log 2))) 1.914 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (exp (+ (log (+ m n)) (- (log K) (log 2)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.914 * * * * [progress]: [ 24 / 104 ] simplifiying candidate # 1.915 * [simplify]: Simplifying (+ (log (/ K 2)) (log (+ m n))) 1.915 * * [simplify]: iters left: 5 (9 enodes) 1.918 * * [simplify]: iters left: 4 (32 enodes) 1.923 * * [simplify]: iters left: 3 (42 enodes) 1.931 * * [simplify]: iters left: 2 (57 enodes) 1.949 * * [simplify]: iters left: 1 (73 enodes) 1.970 * * [simplify]: Extracting #0: cost 1 inf + 0 1.970 * * [simplify]: Extracting #1: cost 12 inf + 0 1.970 * * [simplify]: Extracting #2: cost 25 inf + 0 1.970 * * [simplify]: Extracting #3: cost 26 inf + 73 1.970 * * [simplify]: Extracting #4: cost 17 inf + 596 1.971 * * [simplify]: Extracting #5: cost 5 inf + 2475 1.973 * * [simplify]: Extracting #6: cost 0 inf + 3559 1.974 * [simplify]: Simplified to (+ (log (/ K 2)) (log (+ n m))) 1.974 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (exp (+ (log (/ K 2)) (log (+ n m)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.974 * * * * [progress]: [ 25 / 104 ] simplifiying candidate # 1.974 * * * * [progress]: [ 26 / 104 ] simplifiying candidate # 1.974 * * * * [progress]: [ 27 / 104 ] simplifiying candidate # 1.975 * [simplify]: Simplifying (* (/ (* (* K K) K) (* (* 2 2) 2)) (* (* (+ m n) (+ m n)) (+ m n))) 1.975 * * [simplify]: iters left: 6 (13 enodes) 1.986 * * [simplify]: iters left: 5 (69 enodes) 2.022 * * [simplify]: iters left: 4 (257 enodes) 2.202 * * [simplify]: Extracting #0: cost 1 inf + 0 2.202 * * [simplify]: Extracting #1: cost 43 inf + 0 2.203 * * [simplify]: Extracting #2: cost 225 inf + 48 2.205 * * [simplify]: Extracting #3: cost 255 inf + 9845 2.224 * * [simplify]: Extracting #4: cost 8 inf + 54274 2.238 * * [simplify]: Extracting #5: cost 0 inf + 55832 2.252 * [simplify]: Simplified to (* (/ (* (* K (+ m n)) (* K (+ m n))) (/ 8 K)) (+ m n)) 2.252 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (cbrt (* (/ (* (* K (+ m n)) (* K (+ m n))) (/ 8 K)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.252 * * * * [progress]: [ 28 / 104 ] simplifiying candidate # 2.253 * [simplify]: Simplifying (* (* (* (/ K 2) (/ K 2)) (/ K 2)) (* (* (+ m n) (+ m n)) (+ m n))) 2.253 * * [simplify]: iters left: 6 (11 enodes) 2.256 * * [simplify]: iters left: 5 (59 enodes) 2.280 * * [simplify]: iters left: 4 (238 enodes) 2.399 * * [simplify]: Extracting #0: cost 1 inf + 0 2.399 * * [simplify]: Extracting #1: cost 38 inf + 0 2.400 * * [simplify]: Extracting #2: cost 205 inf + 3 2.404 * * [simplify]: Extracting #3: cost 216 inf + 8168 2.423 * * [simplify]: Extracting #4: cost 22 inf + 45267 2.449 * * [simplify]: Extracting #5: cost 0 inf + 50111 2.474 * * [simplify]: Extracting #6: cost 0 inf + 49751 2.503 * [simplify]: Simplified to (* (* (+ m n) (/ K 2)) (* (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)))) 2.503 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (cbrt (* (* (+ m n) (/ K 2)) (* (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2))))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.504 * * * * [progress]: [ 29 / 104 ] simplifiying candidate # 2.504 * * * * [progress]: [ 30 / 104 ] simplifiying candidate # 2.504 * * * * [progress]: [ 31 / 104 ] simplifiying candidate # 2.504 * * * * [progress]: [ 32 / 104 ] simplifiying candidate # 2.504 * [simplify]: Simplifying (* K (+ (pow m 3) (pow n 3))) 2.505 * * [simplify]: iters left: 5 (8 enodes) 2.510 * * [simplify]: iters left: 4 (45 enodes) 2.532 * * [simplify]: iters left: 3 (114 enodes) 2.558 * * [simplify]: iters left: 2 (225 enodes) 2.612 * * [simplify]: iters left: 1 (390 enodes) 2.750 * * [simplify]: Extracting #0: cost 1 inf + 0 2.750 * * [simplify]: Extracting #1: cost 20 inf + 0 2.751 * * [simplify]: Extracting #2: cost 82 inf + 125 2.753 * * [simplify]: Extracting #3: cost 122 inf + 3013 2.756 * * [simplify]: Extracting #4: cost 88 inf + 12182 2.764 * * [simplify]: Extracting #5: cost 26 inf + 40462 2.775 * * [simplify]: Extracting #6: cost 0 inf + 52771 2.786 * * [simplify]: Extracting #7: cost 0 inf + 52480 2.796 * [simplify]: Simplified to (* K (fma n (* n n) (* (* m m) m))) 2.796 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* K (fma n (* n n) (* (* m m) m))) (* 2 (+ (* m m) (- (* n n) (* m n))))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.797 * [simplify]: Simplifying (* 2 (+ (* m m) (- (* n n) (* m n)))) 2.797 * * [simplify]: iters left: 6 (9 enodes) 2.802 * * [simplify]: iters left: 5 (44 enodes) 2.819 * * [simplify]: iters left: 4 (93 enodes) 2.857 * * [simplify]: iters left: 3 (191 enodes) 2.909 * * [simplify]: iters left: 2 (318 enodes) 2.996 * * [simplify]: iters left: 1 (407 enodes) 3.125 * * [simplify]: Extracting #0: cost 1 inf + 0 3.126 * * [simplify]: Extracting #1: cost 33 inf + 0 3.126 * * [simplify]: Extracting #2: cost 61 inf + 532 3.131 * * [simplify]: Extracting #3: cost 17 inf + 4712 3.136 * * [simplify]: Extracting #4: cost 0 inf + 6405 3.142 * [simplify]: Simplified to (* (fma n (- n m) (* m m)) 2) 3.142 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* K (fma n (* n n) (* (* m m) m))) (* (fma n (- n m) (* m m)) 2)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.143 * * * * [progress]: [ 33 / 104 ] simplifiying candidate # 3.143 * [simplify]: Simplifying (* K (- (* m m) (* n n))) 3.143 * * [simplify]: iters left: 6 (7 enodes) 3.146 * * [simplify]: iters left: 5 (28 enodes) 3.155 * * [simplify]: iters left: 4 (51 enodes) 3.174 * * [simplify]: iters left: 3 (117 enodes) 3.232 * * [simplify]: iters left: 2 (307 enodes) 3.379 * * [simplify]: Extracting #0: cost 1 inf + 0 3.379 * * [simplify]: Extracting #1: cost 59 inf + 0 3.380 * * [simplify]: Extracting #2: cost 123 inf + 371 3.385 * * [simplify]: Extracting #3: cost 43 inf + 10178 3.394 * * [simplify]: Extracting #4: cost 0 inf + 16557 3.403 * [simplify]: Simplified to (* (+ m n) (* K (- m n))) 3.403 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) (* K (- m n))) (* 2 (- m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.404 * [simplify]: Simplifying (* 2 (- m n)) 3.404 * * [simplify]: iters left: 4 (5 enodes) 3.407 * * [simplify]: iters left: 3 (18 enodes) 3.412 * * [simplify]: iters left: 2 (27 enodes) 3.422 * * [simplify]: iters left: 1 (43 enodes) 3.437 * * [simplify]: Extracting #0: cost 1 inf + 0 3.437 * * [simplify]: Extracting #1: cost 9 inf + 0 3.437 * * [simplify]: Extracting #2: cost 14 inf + 2 3.437 * * [simplify]: Extracting #3: cost 6 inf + 254 3.438 * * [simplify]: Extracting #4: cost 0 inf + 588 3.438 * [simplify]: Simplified to (* (- m n) 2) 3.438 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) (* K (- m n))) (* (- m n) 2)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.438 * * * * [progress]: [ 34 / 104 ] simplifiying candidate # 3.439 * * * * [progress]: [ 35 / 104 ] simplifiying candidate # 3.439 * [simplify]: Simplifying (* (sqrt (/ K 2)) (sqrt (+ m n))) 3.439 * * [simplify]: iters left: 5 (9 enodes) 3.443 * * [simplify]: iters left: 4 (29 enodes) 3.448 * * [simplify]: Extracting #0: cost 1 inf + 0 3.448 * * [simplify]: Extracting #1: cost 4 inf + 0 3.448 * * [simplify]: Extracting #2: cost 8 inf + 0 3.448 * * [simplify]: Extracting #3: cost 14 inf + 0 3.448 * * [simplify]: Extracting #4: cost 10 inf + 4 3.448 * * [simplify]: Extracting #5: cost 4 inf + 376 3.448 * * [simplify]: Extracting #6: cost 1 inf + 704 3.448 * * [simplify]: Extracting #7: cost 0 inf + 908 3.449 * [simplify]: Simplified to (* (sqrt (/ K 2)) (sqrt (+ n m))) 3.449 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (sqrt (/ K 2)) (sqrt (+ n m))) (* (sqrt (/ K 2)) (sqrt (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.449 * [simplify]: Simplifying (* (sqrt (/ K 2)) (sqrt (+ m n))) 3.449 * * [simplify]: iters left: 5 (9 enodes) 3.451 * * [simplify]: iters left: 4 (29 enodes) 3.456 * * [simplify]: Extracting #0: cost 1 inf + 0 3.456 * * [simplify]: Extracting #1: cost 4 inf + 0 3.456 * * [simplify]: Extracting #2: cost 8 inf + 0 3.456 * * [simplify]: Extracting #3: cost 14 inf + 0 3.456 * * [simplify]: Extracting #4: cost 10 inf + 4 3.456 * * [simplify]: Extracting #5: cost 4 inf + 376 3.456 * * [simplify]: Extracting #6: cost 1 inf + 704 3.456 * * [simplify]: Extracting #7: cost 0 inf + 908 3.456 * [simplify]: Simplified to (* (sqrt (/ K 2)) (sqrt (+ n m))) 3.456 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (sqrt (/ K 2)) (sqrt (+ m n))) (* (sqrt (/ K 2)) (sqrt (+ n m)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.457 * * * * [progress]: [ 36 / 104 ] simplifiying candidate # 3.457 * [simplify]: Simplifying (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.457 * * [simplify]: iters left: 5 (10 enodes) 3.459 * * [simplify]: iters left: 4 (34 enodes) 3.465 * * [simplify]: iters left: 3 (40 enodes) 3.471 * * [simplify]: iters left: 2 (42 enodes) 3.477 * * [simplify]: Extracting #0: cost 1 inf + 0 3.477 * * [simplify]: Extracting #1: cost 8 inf + 0 3.477 * * [simplify]: Extracting #2: cost 17 inf + 0 3.477 * * [simplify]: Extracting #3: cost 17 inf + 43 3.477 * * [simplify]: Extracting #4: cost 11 inf + 211 3.477 * * [simplify]: Extracting #5: cost 2 inf + 1474 3.477 * * [simplify]: Extracting #6: cost 0 inf + 1800 3.478 * [simplify]: Simplified to (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.478 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.478 * [simplify]: Simplifying (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.478 * * [simplify]: iters left: 5 (10 enodes) 3.481 * * [simplify]: iters left: 4 (34 enodes) 3.492 * * [simplify]: iters left: 3 (40 enodes) 3.503 * * [simplify]: iters left: 2 (42 enodes) 3.514 * * [simplify]: Extracting #0: cost 1 inf + 0 3.514 * * [simplify]: Extracting #1: cost 8 inf + 0 3.514 * * [simplify]: Extracting #2: cost 17 inf + 0 3.514 * * [simplify]: Extracting #3: cost 17 inf + 43 3.514 * * [simplify]: Extracting #4: cost 11 inf + 211 3.514 * * [simplify]: Extracting #5: cost 2 inf + 1474 3.515 * * [simplify]: Extracting #6: cost 0 inf + 1800 3.515 * [simplify]: Simplified to (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.515 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.515 * * * * [progress]: [ 37 / 104 ] simplifiying candidate # 3.515 * [simplify]: Simplifying (* (/ K 2) n) 3.515 * * [simplify]: iters left: 4 (5 enodes) 3.517 * * [simplify]: iters left: 3 (18 enodes) 3.520 * * [simplify]: iters left: 2 (24 enodes) 3.524 * * [simplify]: iters left: 1 (26 enodes) 3.527 * * [simplify]: Extracting #0: cost 1 inf + 0 3.527 * * [simplify]: Extracting #1: cost 8 inf + 0 3.528 * * [simplify]: Extracting #2: cost 7 inf + 45 3.528 * * [simplify]: Extracting #3: cost 0 inf + 421 3.528 * [simplify]: Simplified to (/ K (/ 2 n)) 3.528 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (+ (* (/ K 2) m) (/ K (/ 2 n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.528 * * * * [progress]: [ 38 / 104 ] simplifiying candidate # 3.528 * [simplify]: Simplifying (* n (/ K 2)) 3.528 * * [simplify]: iters left: 4 (5 enodes) 3.530 * * [simplify]: iters left: 3 (18 enodes) 3.534 * * [simplify]: iters left: 2 (24 enodes) 3.538 * * [simplify]: iters left: 1 (28 enodes) 3.543 * * [simplify]: Extracting #0: cost 1 inf + 0 3.543 * * [simplify]: Extracting #1: cost 10 inf + 0 3.543 * * [simplify]: Extracting #2: cost 9 inf + 87 3.544 * * [simplify]: Extracting #3: cost 0 inf + 547 3.544 * [simplify]: Simplified to (* (/ K 2) n) 3.544 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (+ (* m (/ K 2)) (* (/ K 2) n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.544 * * * * [progress]: [ 39 / 104 ] simplifiying candidate # 3.545 * [simplify]: Simplifying (cbrt (+ m n)) 3.545 * * [simplify]: iters left: 3 (4 enodes) 3.546 * * [simplify]: iters left: 2 (13 enodes) 3.550 * * [simplify]: Extracting #0: cost 1 inf + 0 3.550 * * [simplify]: Extracting #1: cost 3 inf + 0 3.550 * * [simplify]: Extracting #2: cost 6 inf + 0 3.550 * * [simplify]: Extracting #3: cost 4 inf + 2 3.550 * * [simplify]: Extracting #4: cost 0 inf + 330 3.550 * [simplify]: Simplified to (cbrt (+ n m)) 3.550 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ n m))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.550 * * * * [progress]: [ 40 / 104 ] simplifiying candidate # 3.551 * [simplify]: Simplifying (sqrt (+ m n)) 3.551 * * [simplify]: iters left: 3 (4 enodes) 3.552 * * [simplify]: iters left: 2 (13 enodes) 3.556 * * [simplify]: Extracting #0: cost 1 inf + 0 3.556 * * [simplify]: Extracting #1: cost 3 inf + 0 3.556 * * [simplify]: Extracting #2: cost 6 inf + 0 3.556 * * [simplify]: Extracting #3: cost 4 inf + 2 3.556 * * [simplify]: Extracting #4: cost 0 inf + 250 3.556 * [simplify]: Simplified to (sqrt (+ n m)) 3.556 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) (sqrt (+ m n))) (sqrt (+ n m))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.556 * * * * [progress]: [ 41 / 104 ] simplifiying candidate # 3.557 * [simplify]: Simplifying (+ m n) 3.557 * * [simplify]: iters left: 2 (3 enodes) 3.558 * * [simplify]: iters left: 1 (10 enodes) 3.561 * * [simplify]: Extracting #0: cost 1 inf + 0 3.561 * * [simplify]: Extracting #1: cost 4 inf + 0 3.561 * * [simplify]: Extracting #2: cost 2 inf + 2 3.561 * * [simplify]: Extracting #3: cost 0 inf + 86 3.561 * [simplify]: Simplified to (+ n m) 3.561 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) 1) (+ n m)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.561 * * * * [progress]: [ 42 / 104 ] simplifiying candidate # 3.561 * [simplify]: Simplifying (+ m n) 3.561 * * [simplify]: iters left: 2 (3 enodes) 3.563 * * [simplify]: iters left: 1 (10 enodes) 3.565 * * [simplify]: Extracting #0: cost 1 inf + 0 3.565 * * [simplify]: Extracting #1: cost 4 inf + 0 3.566 * * [simplify]: Extracting #2: cost 2 inf + 2 3.566 * * [simplify]: Extracting #3: cost 0 inf + 86 3.566 * [simplify]: Simplified to (+ n m) 3.566 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) 1) (+ n m)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.566 * * * * [progress]: [ 43 / 104 ] simplifiying candidate # 3.566 * [simplify]: Simplifying (* (cbrt (/ K 2)) (cbrt (/ K 2))) 3.566 * * [simplify]: iters left: 5 (5 enodes) 3.569 * * [simplify]: iters left: 4 (15 enodes) 3.571 * * [simplify]: Extracting #0: cost 1 inf + 0 3.571 * * [simplify]: Extracting #1: cost 3 inf + 0 3.571 * * [simplify]: Extracting #2: cost 5 inf + 0 3.571 * * [simplify]: Extracting #3: cost 8 inf + 0 3.571 * * [simplify]: Extracting #4: cost 6 inf + 2 3.571 * * [simplify]: Extracting #5: cost 0 inf + 654 3.571 * [simplify]: Simplified to (* (cbrt (/ K 2)) (cbrt (/ K 2))) 3.572 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (cbrt (/ K 2)) (cbrt (/ K 2))) (* (cbrt (/ K 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.572 * * * * [progress]: [ 44 / 104 ] simplifiying candidate # 3.572 * [simplify]: Simplifying (sqrt (/ K 2)) 3.572 * * [simplify]: iters left: 3 (4 enodes) 3.573 * * [simplify]: iters left: 2 (12 enodes) 3.575 * * [simplify]: Extracting #0: cost 1 inf + 0 3.575 * * [simplify]: Extracting #1: cost 3 inf + 0 3.575 * * [simplify]: Extracting #2: cost 6 inf + 0 3.575 * * [simplify]: Extracting #3: cost 4 inf + 2 3.575 * * [simplify]: Extracting #4: cost 0 inf + 250 3.575 * [simplify]: Simplified to (sqrt (/ K 2)) 3.575 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (sqrt (/ K 2)) (* (sqrt (/ K 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.576 * * * * [progress]: [ 45 / 104 ] simplifiying candidate # 3.576 * [simplify]: Simplifying (/ (* (cbrt K) (cbrt K)) (* (cbrt 2) (cbrt 2))) 3.576 * * [simplify]: iters left: 5 (7 enodes) 3.578 * * [simplify]: iters left: 4 (27 enodes) 3.583 * * [simplify]: iters left: 3 (42 enodes) 3.590 * * [simplify]: iters left: 2 (49 enodes) 3.597 * * [simplify]: iters left: 1 (52 enodes) 3.606 * * [simplify]: Extracting #0: cost 1 inf + 0 3.606 * * [simplify]: Extracting #1: cost 11 inf + 0 3.607 * * [simplify]: Extracting #2: cost 22 inf + 0 3.607 * * [simplify]: Extracting #3: cost 18 inf + 164 3.607 * * [simplify]: Extracting #4: cost 9 inf + 1617 3.608 * * [simplify]: Extracting #5: cost 0 inf + 3554 3.609 * [simplify]: Simplified to (* (/ (cbrt K) (cbrt 2)) (/ (cbrt K) (cbrt 2))) 3.609 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (/ (cbrt K) (cbrt 2)) (/ (cbrt K) (cbrt 2))) (* (/ (cbrt K) (cbrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.609 * * * * [progress]: [ 46 / 104 ] simplifiying candidate # 3.610 * [simplify]: Simplifying (/ (* (cbrt K) (cbrt K)) (sqrt 2)) 3.610 * * [simplify]: iters left: 5 (6 enodes) 3.613 * * [simplify]: iters left: 4 (20 enodes) 3.620 * * [simplify]: iters left: 3 (24 enodes) 3.628 * * [simplify]: iters left: 2 (27 enodes) 3.636 * * [simplify]: Extracting #0: cost 1 inf + 0 3.636 * * [simplify]: Extracting #1: cost 7 inf + 0 3.636 * * [simplify]: Extracting #2: cost 14 inf + 0 3.636 * * [simplify]: Extracting #3: cost 12 inf + 2 3.636 * * [simplify]: Extracting #4: cost 6 inf + 691 3.636 * * [simplify]: Extracting #5: cost 0 inf + 1540 3.637 * [simplify]: Simplified to (* (cbrt K) (/ (cbrt K) (sqrt 2))) 3.637 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (cbrt K) (/ (cbrt K) (sqrt 2))) (* (/ (cbrt K) (sqrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.637 * * * * [progress]: [ 47 / 104 ] simplifiying candidate # 3.637 * [simplify]: Simplifying (/ (* (cbrt K) (cbrt K)) 1) 3.637 * * [simplify]: iters left: 5 (5 enodes) 3.638 * * [simplify]: iters left: 4 (17 enodes) 3.643 * * [simplify]: iters left: 3 (27 enodes) 3.648 * * [simplify]: iters left: 2 (28 enodes) 3.651 * * [simplify]: Extracting #0: cost 1 inf + 0 3.652 * * [simplify]: Extracting #1: cost 5 inf + 0 3.652 * * [simplify]: Extracting #2: cost 7 inf + 1 3.652 * * [simplify]: Extracting #3: cost 6 inf + 2 3.652 * * [simplify]: Extracting #4: cost 1 inf + 528 3.652 * * [simplify]: Extracting #5: cost 0 inf + 650 3.652 * [simplify]: Simplified to (* (cbrt K) (cbrt K)) 3.652 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (cbrt K) (cbrt K)) (* (/ (cbrt K) 2) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.652 * * * * [progress]: [ 48 / 104 ] simplifiying candidate # 3.652 * [simplify]: Simplifying (/ (sqrt K) (* (cbrt 2) (cbrt 2))) 3.652 * * [simplify]: iters left: 5 (6 enodes) 3.654 * * [simplify]: iters left: 4 (20 enodes) 3.658 * * [simplify]: iters left: 3 (22 enodes) 3.661 * * [simplify]: Extracting #0: cost 1 inf + 0 3.661 * * [simplify]: Extracting #1: cost 6 inf + 0 3.661 * * [simplify]: Extracting #2: cost 12 inf + 0 3.661 * * [simplify]: Extracting #3: cost 10 inf + 2 3.662 * * [simplify]: Extracting #4: cost 0 inf + 1216 3.662 * [simplify]: Simplified to (/ (sqrt K) (* (cbrt 2) (cbrt 2))) 3.662 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ (sqrt K) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt K) (cbrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.662 * * * * [progress]: [ 49 / 104 ] simplifiying candidate # 3.662 * [simplify]: Simplifying (/ (sqrt K) (sqrt 2)) 3.662 * * [simplify]: iters left: 3 (5 enodes) 3.664 * * [simplify]: iters left: 2 (15 enodes) 3.667 * * [simplify]: Extracting #0: cost 1 inf + 0 3.667 * * [simplify]: Extracting #1: cost 4 inf + 0 3.667 * * [simplify]: Extracting #2: cost 8 inf + 0 3.667 * * [simplify]: Extracting #3: cost 4 inf + 84 3.667 * * [simplify]: Extracting #4: cost 0 inf + 410 3.667 * [simplify]: Simplified to (/ (sqrt K) (sqrt 2)) 3.667 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ (sqrt K) (sqrt 2)) (* (/ (sqrt K) (sqrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.667 * * * * [progress]: [ 50 / 104 ] simplifiying candidate # 3.667 * [simplify]: Simplifying (/ (sqrt K) 1) 3.667 * * [simplify]: iters left: 3 (4 enodes) 3.669 * * [simplify]: iters left: 2 (12 enodes) 3.673 * * [simplify]: iters left: 1 (14 enodes) 3.678 * * [simplify]: Extracting #0: cost 1 inf + 0 3.678 * * [simplify]: Extracting #1: cost 4 inf + 0 3.678 * * [simplify]: Extracting #2: cost 0 inf + 84 3.678 * [simplify]: Simplified to (sqrt K) 3.678 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (sqrt K) (* (/ (sqrt K) 2) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.678 * * * * [progress]: [ 51 / 104 ] simplifiying candidate # 3.678 * [simplify]: Simplifying (/ 1 (* (cbrt 2) (cbrt 2))) 3.679 * * [simplify]: iters left: 5 (5 enodes) 3.682 * * [simplify]: iters left: 4 (19 enodes) 3.689 * * [simplify]: iters left: 3 (23 enodes) 3.696 * * [simplify]: Extracting #0: cost 1 inf + 0 3.697 * * [simplify]: Extracting #1: cost 6 inf + 0 3.697 * * [simplify]: Extracting #2: cost 9 inf + 1 3.697 * * [simplify]: Extracting #3: cost 1 inf + 852 3.697 * * [simplify]: Extracting #4: cost 0 inf + 974 3.697 * [simplify]: Simplified to (/ 1 (* (cbrt 2) (cbrt 2))) 3.697 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ K (cbrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.698 * * * * [progress]: [ 52 / 104 ] simplifiying candidate # 3.698 * [simplify]: Simplifying (/ 1 (sqrt 2)) 3.698 * * [simplify]: iters left: 3 (4 enodes) 3.701 * * [simplify]: iters left: 2 (14 enodes) 3.707 * * [simplify]: iters left: 1 (16 enodes) 3.712 * * [simplify]: Extracting #0: cost 1 inf + 0 3.712 * * [simplify]: Extracting #1: cost 4 inf + 0 3.713 * * [simplify]: Extracting #2: cost 5 inf + 1 3.713 * * [simplify]: Extracting #3: cost 3 inf + 43 3.713 * * [simplify]: Extracting #4: cost 1 inf + 166 3.713 * * [simplify]: Extracting #5: cost 0 inf + 248 3.713 * [simplify]: Simplified to (/ 1 (sqrt 2)) 3.713 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ 1 (sqrt 2)) (* (/ K (sqrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.713 * * * * [progress]: [ 53 / 104 ] simplifiying candidate # 3.714 * [simplify]: Simplifying (/ 1 1) 3.714 * * [simplify]: iters left: 2 (2 enodes) 3.715 * * [simplify]: iters left: 1 (6 enodes) 3.717 * * [simplify]: Extracting #0: cost 1 inf + 0 3.717 * * [simplify]: Extracting #1: cost 0 inf + 1 3.717 * [simplify]: Simplified to 1 3.717 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1 (* (/ K 2) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.718 * * * * [progress]: [ 54 / 104 ] simplifiying candidate # 3.718 * * * * [progress]: [ 55 / 104 ] simplifiying candidate # 3.718 * * * * [progress]: [ 56 / 104 ] simplifiying candidate # 3.718 * [simplify]: Simplifying (+ (* m m) (- (* n n) (* m n))) 3.718 * * [simplify]: iters left: 6 (7 enodes) 3.722 * * [simplify]: iters left: 5 (31 enodes) 3.732 * * [simplify]: iters left: 4 (54 enodes) 3.748 * * [simplify]: iters left: 3 (89 enodes) 3.763 * * [simplify]: iters left: 2 (117 enodes) 3.788 * * [simplify]: iters left: 1 (143 enodes) 3.813 * * [simplify]: Extracting #0: cost 1 inf + 0 3.813 * * [simplify]: Extracting #1: cost 20 inf + 0 3.814 * * [simplify]: Extracting #2: cost 32 inf + 84 3.814 * * [simplify]: Extracting #3: cost 9 inf + 1577 3.815 * * [simplify]: Extracting #4: cost 0 inf + 2519 3.816 * [simplify]: Simplified to (fma (- m n) m (* n n)) 3.816 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (/ K 2) (+ (pow m 3) (pow n 3))) (fma (- m n) m (* n n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.816 * * * * [progress]: [ 57 / 104 ] simplifiying candidate # 3.816 * [simplify]: Simplifying (- m n) 3.816 * * [simplify]: iters left: 2 (3 enodes) 3.817 * * [simplify]: iters left: 1 (11 enodes) 3.818 * * [simplify]: Extracting #0: cost 1 inf + 0 3.818 * * [simplify]: Extracting #1: cost 5 inf + 0 3.818 * * [simplify]: Extracting #2: cost 3 inf + 43 3.819 * * [simplify]: Extracting #3: cost 0 inf + 168 3.819 * [simplify]: Simplified to (- m n) 3.819 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (/ K 2) (- (* m m) (* n n))) (- m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.819 * * * * [progress]: [ 58 / 104 ] simplifiying candidate # 3.819 * [simplify]: Simplifying (* K (+ m n)) 3.819 * * [simplify]: iters left: 4 (5 enodes) 3.821 * * [simplify]: iters left: 3 (23 enodes) 3.825 * * [simplify]: iters left: 2 (35 enodes) 3.832 * * [simplify]: iters left: 1 (37 enodes) 3.840 * * [simplify]: Extracting #0: cost 1 inf + 0 3.840 * * [simplify]: Extracting #1: cost 8 inf + 0 3.840 * * [simplify]: Extracting #2: cost 8 inf + 3 3.841 * * [simplify]: Extracting #3: cost 1 inf + 338 3.841 * * [simplify]: Extracting #4: cost 0 inf + 421 3.841 * [simplify]: Simplified to (* (+ m n) K) 3.841 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.841 * * * * [progress]: [ 59 / 104 ] simplifiying candidate #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 3.842 * * * * [progress]: [ 60 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 61 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 62 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 63 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 64 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 65 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 66 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 67 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 68 / 104 ] simplifiying candidate # 3.842 * * * * [progress]: [ 69 / 104 ] simplifiying candidate # 3.843 * * * * [progress]: [ 70 / 104 ] simplifiying candidate # 3.843 * * * * [progress]: [ 71 / 104 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> 3.843 * * * * [progress]: [ 72 / 104 ] simplifiying candidate # 3.843 * [simplify]: Simplifying (fma (/ K 2) (+ m n) (- (* (cbrt M) (* (cbrt M) (cbrt M))))) 3.843 * * [simplify]: iters left: 6 (12 enodes) 3.849 * * [simplify]: iters left: 5 (46 enodes) 3.866 * * [simplify]: iters left: 4 (70 enodes) 3.889 * * [simplify]: iters left: 3 (122 enodes) 3.926 * * [simplify]: iters left: 2 (186 enodes) 3.969 * * [simplify]: iters left: 1 (206 enodes) 3.994 * * [simplify]: Extracting #0: cost 1 inf + 0 3.995 * * [simplify]: Extracting #1: cost 24 inf + 0 3.995 * * [simplify]: Extracting #2: cost 41 inf + 410 3.995 * * [simplify]: Extracting #3: cost 38 inf + 1145 3.996 * * [simplify]: Extracting #4: cost 6 inf + 3973 3.999 * * [simplify]: Extracting #5: cost 0 inf + 4634 4.002 * * [simplify]: Extracting #6: cost 0 inf + 4619 4.005 * [simplify]: Simplified to (- (* (/ K 2) (+ m n)) M) 4.005 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (+ (- (* (/ K 2) (+ m n)) M) (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.006 * [simplify]: Simplifying (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))) 4.006 * * [simplify]: iters left: 6 (6 enodes) 4.009 * * [simplify]: iters left: 5 (23 enodes) 4.016 * * [simplify]: iters left: 4 (31 enodes) 4.024 * * [simplify]: iters left: 3 (36 enodes) 4.033 * * [simplify]: Extracting #0: cost 1 inf + 0 4.034 * * [simplify]: Extracting #1: cost 6 inf + 0 4.034 * * [simplify]: Extracting #2: cost 10 inf + 1 4.034 * * [simplify]: Extracting #3: cost 3 inf + 1200 4.034 * * [simplify]: Extracting #4: cost 0 inf + 1348 4.035 * * [simplify]: Extracting #5: cost 0 inf + 1213 4.035 * [simplify]: Simplified to (+ (- M) M) 4.035 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (cos (+ (- (* (/ K 2) (+ m n)) M) (+ (- M) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.035 * * * * [progress]: [ 73 / 104 ] simplifiying candidate # 4.036 * [simplify]: Simplifying (fma (/ K 2) (+ m n) (- (* (sqrt M) (sqrt M)))) 4.036 * * [simplify]: iters left: 6 (11 enodes) 4.041 * * [simplify]: iters left: 5 (34 enodes) 4.048 * * [simplify]: iters left: 4 (49 enodes) 4.058 * * [simplify]: iters left: 3 (104 enodes) 4.076 * * [simplify]: iters left: 2 (156 enodes) 4.095 * * [simplify]: iters left: 1 (170 enodes) 4.114 * * [simplify]: Extracting #0: cost 1 inf + 0 4.114 * * [simplify]: Extracting #1: cost 20 inf + 0 4.114 * * [simplify]: Extracting #2: cost 37 inf + 45 4.115 * * [simplify]: Extracting #3: cost 33 inf + 603 4.115 * * [simplify]: Extracting #4: cost 8 inf + 2778 4.117 * * [simplify]: Extracting #5: cost 1 inf + 3487 4.119 * * [simplify]: Extracting #6: cost 0 inf + 3651 4.122 * [simplify]: Simplified to (- (* (/ K 2) (+ m n)) M) 4.122 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (+ (- (* (/ K 2) (+ m n)) M) (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.122 * [simplify]: Simplifying (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))) 4.122 * * [simplify]: iters left: 4 (5 enodes) 4.125 * * [simplify]: iters left: 3 (15 enodes) 4.129 * * [simplify]: iters left: 2 (21 enodes) 4.133 * * [simplify]: iters left: 1 (22 enodes) 4.138 * * [simplify]: Extracting #0: cost 1 inf + 0 4.138 * * [simplify]: Extracting #1: cost 6 inf + 0 4.138 * * [simplify]: Extracting #2: cost 8 inf + 1 4.139 * * [simplify]: Extracting #3: cost 0 inf + 599 4.139 * * [simplify]: Extracting #4: cost 0 inf + 489 4.139 * [simplify]: Simplified to (+ (- M) M) 4.139 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (cos (+ (- (* (/ K 2) (+ m n)) M) (+ (- M) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.139 * * * * [progress]: [ 74 / 104 ] simplifiying candidate # 4.140 * [simplify]: Simplifying (fma (/ K 2) (+ m n) (- (* M 1))) 4.140 * * [simplify]: iters left: 5 (11 enodes) 4.146 * * [simplify]: iters left: 4 (36 enodes) 4.157 * * [simplify]: iters left: 3 (53 enodes) 4.177 * * [simplify]: iters left: 2 (108 enodes) 4.213 * * [simplify]: iters left: 1 (160 enodes) 4.249 * * [simplify]: Extracting #0: cost 1 inf + 0 4.249 * * [simplify]: Extracting #1: cost 15 inf + 0 4.249 * * [simplify]: Extracting #2: cost 29 inf + 86 4.250 * * [simplify]: Extracting #3: cost 29 inf + 297 4.251 * * [simplify]: Extracting #4: cost 3 inf + 2444 4.253 * * [simplify]: Extracting #5: cost 0 inf + 2745 4.255 * [simplify]: Simplified to (- (* (/ K 2) (+ m n)) M) 4.255 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (+ (- (* (/ K 2) (+ m n)) M) (fma (- M) 1 (* M 1)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.255 * [simplify]: Simplifying (fma (- M) 1 (* M 1)) 4.255 * * [simplify]: iters left: 3 (5 enodes) 4.258 * * [simplify]: iters left: 2 (17 enodes) 4.263 * * [simplify]: iters left: 1 (22 enodes) 4.270 * * [simplify]: Extracting #0: cost 1 inf + 0 4.270 * * [simplify]: Extracting #1: cost 5 inf + 0 4.270 * * [simplify]: Extracting #2: cost 5 inf + 2 4.270 * * [simplify]: Extracting #3: cost 0 inf + 288 4.270 * [simplify]: Simplified to (+ (- M) M) 4.270 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (cos (+ (- (* (/ K 2) (+ m n)) M) (+ (- M) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.271 * * * * [progress]: [ 75 / 104 ] simplifiying candidate # 4.271 * * * * [progress]: [ 76 / 104 ] simplifiying candidate # 4.271 * * * * [progress]: [ 77 / 104 ] simplifiying candidate # 4.271 * [simplify]: Simplifying (/ K 2) 4.271 * * [simplify]: iters left: 2 (3 enodes) 4.273 * * [simplify]: iters left: 1 (9 enodes) 4.276 * * [simplify]: Extracting #0: cost 1 inf + 0 4.276 * * [simplify]: Extracting #1: cost 4 inf + 0 4.276 * * [simplify]: Extracting #2: cost 2 inf + 2 4.276 * * [simplify]: Extracting #3: cost 0 inf + 86 4.276 * [simplify]: Simplified to (/ K 2) 4.276 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.276 * * * * [progress]: [ 78 / 104 ] simplifiying candidate # 4.277 * [simplify]: Simplifying (/ (exp (* (/ K 2) (+ m n))) (exp M)) 4.277 * * [simplify]: iters left: 6 (11 enodes) 4.282 * * [simplify]: iters left: 5 (47 enodes) 4.299 * * [simplify]: iters left: 4 (104 enodes) 4.334 * * [simplify]: iters left: 3 (202 enodes) 4.367 * * [simplify]: iters left: 2 (320 enodes) 4.446 * * [simplify]: Extracting #0: cost 1 inf + 0 4.446 * * [simplify]: Extracting #1: cost 45 inf + 0 4.447 * * [simplify]: Extracting #2: cost 142 inf + 0 4.447 * * [simplify]: Extracting #3: cost 207 inf + 302 4.449 * * [simplify]: Extracting #4: cost 172 inf + 6501 4.454 * * [simplify]: Extracting #5: cost 61 inf + 32985 4.461 * * [simplify]: Extracting #6: cost 5 inf + 63873 4.475 * * [simplify]: Extracting #7: cost 0 inf + 67128 4.490 * [simplify]: Simplified to (exp (- (* (/ K 2) (+ m n)) M)) 4.491 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (log (exp (- (* (/ K 2) (+ m n)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.491 * * * * [progress]: [ 79 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 80 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 81 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 82 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 83 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 84 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 85 / 104 ] simplifiying candidate # 4.491 * * * * [progress]: [ 86 / 104 ] simplifiying candidate # 4.492 * * * * [progress]: [ 87 / 104 ] simplifiying candidate # 4.492 * * * * [progress]: [ 88 / 104 ] simplifiying candidate # 4.492 * * * * [progress]: [ 89 / 104 ] simplifiying candidate # 4.492 * [simplify]: Simplifying (* (/ K 2) m) 4.492 * * [simplify]: iters left: 4 (5 enodes) 4.495 * * [simplify]: iters left: 3 (18 enodes) 4.498 * * [simplify]: iters left: 2 (24 enodes) 4.502 * * [simplify]: iters left: 1 (26 enodes) 4.506 * * [simplify]: Extracting #0: cost 1 inf + 0 4.506 * * [simplify]: Extracting #1: cost 8 inf + 0 4.506 * * [simplify]: Extracting #2: cost 7 inf + 45 4.506 * * [simplify]: Extracting #3: cost 0 inf + 421 4.506 * [simplify]: Simplified to (/ K (/ 2 m)) 4.506 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (+ (/ K (/ 2 m)) (- (* (/ K 2) n) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.506 * * * * [progress]: [ 90 / 104 ] simplifiying candidate # 4.507 * [simplify]: Simplifying (* m (/ K 2)) 4.507 * * [simplify]: iters left: 4 (5 enodes) 4.508 * * [simplify]: iters left: 3 (18 enodes) 4.511 * * [simplify]: iters left: 2 (24 enodes) 4.515 * * [simplify]: iters left: 1 (28 enodes) 4.522 * * [simplify]: Extracting #0: cost 1 inf + 0 4.522 * * [simplify]: Extracting #1: cost 10 inf + 0 4.522 * * [simplify]: Extracting #2: cost 9 inf + 87 4.522 * * [simplify]: Extracting #3: cost 0 inf + 547 4.522 * [simplify]: Simplified to (* (/ K 2) m) 4.523 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (+ (* (/ K 2) m) (- (* n (/ K 2)) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.523 * * * * [progress]: [ 91 / 104 ] simplifiying candidate # 4.523 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #real (real->posit16 (- (* (/ K 2) (+ m n)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 4.523 * * * * [progress]: [ 93 / 104 ] simplifiying candidate # 4.523 * [simplify]: Simplifying 1 4.523 * * [simplify]: iters left: 0 (1 enodes) 4.524 * * [simplify]: Extracting #0: cost 1 inf + 0 4.524 * * [simplify]: Extracting #1: cost 0 inf + 1 4.524 * [simplify]: Simplified to 1 4.524 * [simplify]: Simplified (2 1) to (λ (K m n M l) (/ 1 (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.524 * * * * [progress]: [ 94 / 104 ] simplifiying candidate # 4.524 * [simplify]: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 4.524 * * [simplify]: iters left: 6 (12 enodes) 4.531 * * [simplify]: iters left: 5 (52 enodes) 4.545 * * [simplify]: iters left: 4 (99 enodes) 4.565 * * [simplify]: iters left: 3 (168 enodes) 4.599 * * [simplify]: iters left: 2 (204 enodes) 4.647 * * [simplify]: iters left: 1 (253 enodes) 4.685 * * [simplify]: Extracting #0: cost 1 inf + 0 4.685 * * [simplify]: Extracting #1: cost 3 inf + 0 4.685 * * [simplify]: Extracting #2: cost 28 inf + 0 4.685 * * [simplify]: Extracting #3: cost 52 inf + 5 4.686 * * [simplify]: Extracting #4: cost 27 inf + 2123 4.688 * * [simplify]: Extracting #5: cost 0 inf + 4843 4.690 * * [simplify]: Extracting #6: cost 0 inf + 4828 4.692 * [simplify]: Simplified to (cos (- (* (* 1/2 K) (+ m n)) M)) 4.692 * [simplify]: Simplified (2 1) to (λ (K m n M l) (/ (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.692 * * * * [progress]: [ 95 / 104 ] simplifiying candidate # 4.692 * [simplify]: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 4.692 * * [simplify]: iters left: 6 (12 enodes) 4.696 * * [simplify]: iters left: 5 (52 enodes) 4.706 * * [simplify]: iters left: 4 (99 enodes) 4.739 * * [simplify]: iters left: 3 (168 enodes) 4.795 * * [simplify]: iters left: 2 (204 enodes) 4.829 * * [simplify]: iters left: 1 (253 enodes) 4.867 * * [simplify]: Extracting #0: cost 1 inf + 0 4.867 * * [simplify]: Extracting #1: cost 3 inf + 0 4.867 * * [simplify]: Extracting #2: cost 28 inf + 0 4.867 * * [simplify]: Extracting #3: cost 52 inf + 5 4.868 * * [simplify]: Extracting #4: cost 27 inf + 2123 4.870 * * [simplify]: Extracting #5: cost 0 inf + 4843 4.872 * * [simplify]: Extracting #6: cost 0 inf + 4828 4.874 * [simplify]: Simplified to (cos (- (* (* 1/2 K) (+ m n)) M)) 4.874 * [simplify]: Simplified (2 1) to (λ (K m n M l) (/ (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.874 * * * * [progress]: [ 96 / 104 ] simplifiying candidate # 4.874 * [simplify]: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 4.874 * * [simplify]: iters left: 6 (9 enodes) 4.877 * * [simplify]: iters left: 5 (39 enodes) 4.884 * * [simplify]: iters left: 4 (67 enodes) 4.896 * * [simplify]: iters left: 3 (99 enodes) 4.912 * * [simplify]: iters left: 2 (115 enodes) 4.928 * * [simplify]: Extracting #0: cost 1 inf + 0 4.928 * * [simplify]: Extracting #1: cost 16 inf + 0 4.928 * * [simplify]: Extracting #2: cost 20 inf + 88 4.928 * * [simplify]: Extracting #3: cost 4 inf + 1088 4.929 * * [simplify]: Extracting #4: cost 0 inf + 1420 4.929 * [simplify]: Simplified to (* 1/2 (* K (+ m n))) 4.929 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.930 * * * * [progress]: [ 97 / 104 ] simplifiying candidate # 4.930 * [simplify]: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 4.930 * * [simplify]: iters left: 6 (9 enodes) 4.934 * * [simplify]: iters left: 5 (39 enodes) 4.942 * * [simplify]: iters left: 4 (67 enodes) 4.954 * * [simplify]: iters left: 3 (99 enodes) 4.969 * * [simplify]: iters left: 2 (115 enodes) 4.985 * * [simplify]: Extracting #0: cost 1 inf + 0 4.985 * * [simplify]: Extracting #1: cost 16 inf + 0 4.985 * * [simplify]: Extracting #2: cost 20 inf + 88 4.985 * * [simplify]: Extracting #3: cost 4 inf + 1088 4.986 * * [simplify]: Extracting #4: cost 0 inf + 1420 4.986 * [simplify]: Simplified to (* 1/2 (* K (+ m n))) 4.987 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 4.987 * * * * [progress]: [ 98 / 104 ] simplifiying candidate # 4.987 * [simplify]: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 4.987 * * [simplify]: iters left: 6 (9 enodes) 4.991 * * [simplify]: iters left: 5 (39 enodes) 5.003 * * [simplify]: iters left: 4 (67 enodes) 5.028 * * [simplify]: iters left: 3 (99 enodes) 5.056 * * [simplify]: iters left: 2 (115 enodes) 5.085 * * [simplify]: Extracting #0: cost 1 inf + 0 5.085 * * [simplify]: Extracting #1: cost 16 inf + 0 5.085 * * [simplify]: Extracting #2: cost 20 inf + 88 5.086 * * [simplify]: Extracting #3: cost 4 inf + 1088 5.087 * * [simplify]: Extracting #4: cost 0 inf + 1420 5.088 * [simplify]: Simplified to (* 1/2 (* K (+ m n))) 5.088 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 5.088 * * * * [progress]: [ 99 / 104 ] simplifiying candidate # 5.089 * [simplify]: Simplifying (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 5.089 * * [simplify]: iters left: 6 (12 enodes) 5.096 * * [simplify]: iters left: 5 (51 enodes) 5.114 * * [simplify]: iters left: 4 (82 enodes) 5.142 * * [simplify]: iters left: 3 (129 enodes) 5.180 * * [simplify]: iters left: 2 (151 enodes) 5.211 * * [simplify]: iters left: 1 (153 enodes) 5.225 * * [simplify]: Extracting #0: cost 1 inf + 0 5.225 * * [simplify]: Extracting #1: cost 18 inf + 0 5.225 * * [simplify]: Extracting #2: cost 24 inf + 47 5.225 * * [simplify]: Extracting #3: cost 11 inf + 729 5.226 * * [simplify]: Extracting #4: cost 2 inf + 1640 5.227 * * [simplify]: Extracting #5: cost 0 inf + 1934 5.227 * [simplify]: Simplified to (fma m (fma 1/4 m (* 1/2 n)) l) 5.227 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma m (fma 1/4 m (* 1/2 n)) l) (fabs (- m n)))))) 5.227 * * * * [progress]: [ 100 / 104 ] simplifiying candidate # 5.228 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 5.228 * * [simplify]: iters left: 6 (9 enodes) 5.231 * * [simplify]: iters left: 5 (40 enodes) 5.239 * * [simplify]: iters left: 4 (70 enodes) 5.262 * * [simplify]: iters left: 3 (126 enodes) 5.313 * * [simplify]: iters left: 2 (218 enodes) 5.382 * * [simplify]: iters left: 1 (305 enodes) 5.457 * * [simplify]: Extracting #0: cost 1 inf + 0 5.457 * * [simplify]: Extracting #1: cost 29 inf + 0 5.458 * * [simplify]: Extracting #2: cost 55 inf + 127 5.459 * * [simplify]: Extracting #3: cost 16 inf + 3248 5.462 * * [simplify]: Extracting #4: cost 0 inf + 4603 5.465 * [simplify]: Simplified to (* (- (- M n) m) M) 5.465 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 5.465 * * * * [progress]: [ 101 / 104 ] simplifiying candidate # 5.466 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 5.466 * * [simplify]: iters left: 6 (9 enodes) 5.471 * * [simplify]: iters left: 5 (40 enodes) 5.485 * * [simplify]: iters left: 4 (70 enodes) 5.508 * * [simplify]: iters left: 3 (126 enodes) 5.559 * * [simplify]: iters left: 2 (218 enodes) 5.630 * * [simplify]: iters left: 1 (305 enodes) 5.746 * * [simplify]: Extracting #0: cost 1 inf + 0 5.747 * * [simplify]: Extracting #1: cost 29 inf + 0 5.747 * * [simplify]: Extracting #2: cost 55 inf + 127 5.750 * * [simplify]: Extracting #3: cost 16 inf + 3248 5.754 * * [simplify]: Extracting #4: cost 0 inf + 4603 5.757 * [simplify]: Simplified to (* (- (- M n) m) M) 5.757 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 5.758 * * * * [progress]: [ 102 / 104 ] simplifiying candidate # 5.758 * [simplify]: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 5.758 * * [simplify]: iters left: 6 (11 enodes) 5.764 * * [simplify]: iters left: 5 (49 enodes) 5.784 * * [simplify]: iters left: 4 (96 enodes) 5.822 * * [simplify]: iters left: 3 (165 enodes) 5.875 * * [simplify]: iters left: 2 (198 enodes) 5.932 * * [simplify]: iters left: 1 (239 enodes) 6.001 * * [simplify]: Extracting #0: cost 1 inf + 0 6.001 * * [simplify]: Extracting #1: cost 26 inf + 0 6.002 * * [simplify]: Extracting #2: cost 49 inf + 47 6.004 * * [simplify]: Extracting #3: cost 25 inf + 2159 6.007 * * [simplify]: Extracting #4: cost 2 inf + 4256 6.011 * * [simplify]: Extracting #5: cost 0 inf + 4393 6.014 * * [simplify]: Extracting #6: cost 0 inf + 4378 6.018 * [simplify]: Simplified to (- (* (* K (+ m n)) 1/2) M) 6.019 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (cos (- (* (* K (+ m n)) 1/2) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 6.019 * * * * [progress]: [ 103 / 104 ] simplifiying candidate # 6.019 * [simplify]: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 6.019 * * [simplify]: iters left: 6 (11 enodes) 6.025 * * [simplify]: iters left: 5 (49 enodes) 6.036 * * [simplify]: iters left: 4 (96 enodes) 6.061 * * [simplify]: iters left: 3 (165 enodes) 6.114 * * [simplify]: iters left: 2 (198 enodes) 6.169 * * [simplify]: iters left: 1 (239 enodes) 6.227 * * [simplify]: Extracting #0: cost 1 inf + 0 6.227 * * [simplify]: Extracting #1: cost 26 inf + 0 6.228 * * [simplify]: Extracting #2: cost 49 inf + 47 6.229 * * [simplify]: Extracting #3: cost 25 inf + 2159 6.230 * * [simplify]: Extracting #4: cost 2 inf + 4256 6.232 * * [simplify]: Extracting #5: cost 0 inf + 4393 6.234 * * [simplify]: Extracting #6: cost 0 inf + 4378 6.236 * [simplify]: Simplified to (- (* (* K (+ m n)) 1/2) M) 6.236 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (cos (- (* (* K (+ m n)) 1/2) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 6.236 * * * * [progress]: [ 104 / 104 ] simplifiying candidate # 6.237 * [simplify]: Simplifying (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) 6.237 * * [simplify]: iters left: 6 (11 enodes) 6.242 * * [simplify]: iters left: 5 (49 enodes) 6.258 * * [simplify]: iters left: 4 (96 enodes) 6.285 * * [simplify]: iters left: 3 (165 enodes) 6.318 * * [simplify]: iters left: 2 (198 enodes) 6.373 * * [simplify]: iters left: 1 (239 enodes) 6.441 * * [simplify]: Extracting #0: cost 1 inf + 0 6.441 * * [simplify]: Extracting #1: cost 26 inf + 0 6.442 * * [simplify]: Extracting #2: cost 49 inf + 47 6.443 * * [simplify]: Extracting #3: cost 25 inf + 2159 6.446 * * [simplify]: Extracting #4: cost 2 inf + 4256 6.450 * * [simplify]: Extracting #5: cost 0 inf + 4393 6.454 * * [simplify]: Extracting #6: cost 0 inf + 4378 6.457 * [simplify]: Simplified to (- (* (* K (+ m n)) 1/2) M) 6.457 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (cos (- (* (* K (+ m n)) 1/2) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 6.458 * * * [progress]: adding candidates to table 8.465 * * [progress]: iteration 2 / 4 8.465 * * * [progress]: picking best candidate 8.515 * * * * [pick]: Picked # 8.515 * * * [progress]: localizing error 8.570 * * * [progress]: generating rewritten candidates 8.570 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1) 8.571 * * * [progress]: generating series expansions 8.571 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1) 8.571 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 8.571 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 8.571 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 8.571 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.571 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 8.571 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 8.571 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 8.571 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 8.571 * [taylor]: Taking taylor expansion of 1/2 in l 8.571 * [backup-simplify]: Simplify 1/2 into 1/2 8.571 * [taylor]: Taking taylor expansion of m in l 8.571 * [backup-simplify]: Simplify m into m 8.571 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 8.571 * [taylor]: Taking taylor expansion of 1/2 in l 8.572 * [backup-simplify]: Simplify 1/2 into 1/2 8.572 * [taylor]: Taking taylor expansion of n in l 8.572 * [backup-simplify]: Simplify n into n 8.572 * [taylor]: Taking taylor expansion of M in l 8.572 * [backup-simplify]: Simplify M into M 8.572 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 8.572 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 8.572 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 8.572 * [taylor]: Taking taylor expansion of 1/2 in l 8.572 * [backup-simplify]: Simplify 1/2 into 1/2 8.572 * [taylor]: Taking taylor expansion of m in l 8.572 * [backup-simplify]: Simplify m into m 8.572 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 8.572 * [taylor]: Taking taylor expansion of 1/2 in l 8.572 * [backup-simplify]: Simplify 1/2 into 1/2 8.572 * [taylor]: Taking taylor expansion of n in l 8.572 * [backup-simplify]: Simplify n into n 8.572 * [taylor]: Taking taylor expansion of M in l 8.572 * [backup-simplify]: Simplify M into M 8.572 * [taylor]: Taking taylor expansion of l in l 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.572 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 8.572 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.572 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 8.572 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.572 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.572 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.572 * [taylor]: Taking taylor expansion of 1/2 in M 8.572 * [backup-simplify]: Simplify 1/2 into 1/2 8.572 * [taylor]: Taking taylor expansion of m in M 8.572 * [backup-simplify]: Simplify m into m 8.572 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.572 * [taylor]: Taking taylor expansion of 1/2 in M 8.572 * [backup-simplify]: Simplify 1/2 into 1/2 8.572 * [taylor]: Taking taylor expansion of n in M 8.572 * [backup-simplify]: Simplify n into n 8.573 * [taylor]: Taking taylor expansion of M in M 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 8.573 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 8.573 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 8.573 * [taylor]: Taking taylor expansion of 1/2 in M 8.573 * [backup-simplify]: Simplify 1/2 into 1/2 8.573 * [taylor]: Taking taylor expansion of m in M 8.573 * [backup-simplify]: Simplify m into m 8.573 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 8.573 * [taylor]: Taking taylor expansion of 1/2 in M 8.573 * [backup-simplify]: Simplify 1/2 into 1/2 8.573 * [taylor]: Taking taylor expansion of n in M 8.573 * [backup-simplify]: Simplify n into n 8.573 * [taylor]: Taking taylor expansion of M in M 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [taylor]: Taking taylor expansion of l in M 8.573 * [backup-simplify]: Simplify l into l 8.573 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 8.573 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.573 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 8.573 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.573 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.573 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.573 * [taylor]: Taking taylor expansion of 1/2 in n 8.573 * [backup-simplify]: Simplify 1/2 into 1/2 8.573 * [taylor]: Taking taylor expansion of m in n 8.573 * [backup-simplify]: Simplify m into m 8.573 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.573 * [taylor]: Taking taylor expansion of 1/2 in n 8.573 * [backup-simplify]: Simplify 1/2 into 1/2 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 8.573 * [taylor]: Taking taylor expansion of M in n 8.573 * [backup-simplify]: Simplify M into M 8.574 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 8.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 8.574 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 8.574 * [taylor]: Taking taylor expansion of 1/2 in n 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 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 (* 1/2 n) in n 8.574 * [taylor]: Taking taylor expansion of 1/2 in n 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [taylor]: Taking taylor expansion of M in n 8.574 * [backup-simplify]: Simplify M into M 8.574 * [taylor]: Taking taylor expansion of l in n 8.574 * [backup-simplify]: Simplify l into l 8.574 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 8.574 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.574 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 8.574 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.574 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.574 * [taylor]: Taking taylor expansion of 1/2 in m 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 8.574 * [taylor]: Taking taylor expansion of m in m 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.574 * [taylor]: Taking taylor expansion of 1/2 in m 8.574 * [backup-simplify]: Simplify 1/2 into 1/2 8.574 * [taylor]: Taking taylor expansion of n in m 8.574 * [backup-simplify]: Simplify n into n 8.574 * [taylor]: Taking taylor expansion of M in m 8.574 * [backup-simplify]: Simplify M into M 8.574 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.575 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.575 * [taylor]: Taking taylor expansion of 1/2 in m 8.575 * [backup-simplify]: Simplify 1/2 into 1/2 8.575 * [taylor]: Taking taylor expansion of m in m 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.575 * [taylor]: Taking taylor expansion of 1/2 in m 8.575 * [backup-simplify]: Simplify 1/2 into 1/2 8.575 * [taylor]: Taking taylor expansion of n in m 8.575 * [backup-simplify]: Simplify n into n 8.575 * [taylor]: Taking taylor expansion of M in m 8.575 * [backup-simplify]: Simplify M into M 8.575 * [taylor]: Taking taylor expansion of l in m 8.575 * [backup-simplify]: Simplify l into l 8.575 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 8.575 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 8.575 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 8.575 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.575 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.575 * [taylor]: Taking taylor expansion of 1/2 in m 8.575 * [backup-simplify]: Simplify 1/2 into 1/2 8.575 * [taylor]: Taking taylor expansion of m in m 8.575 * [backup-simplify]: Simplify 0 into 0 8.575 * [backup-simplify]: Simplify 1 into 1 8.575 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.575 * [taylor]: Taking taylor expansion of 1/2 in m 8.575 * [backup-simplify]: Simplify 1/2 into 1/2 8.575 * [taylor]: Taking taylor expansion of n in m 8.575 * [backup-simplify]: Simplify n into n 8.575 * [taylor]: Taking taylor expansion of M in m 8.575 * [backup-simplify]: Simplify M into M 8.575 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 8.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 8.575 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 8.575 * [taylor]: Taking taylor expansion of 1/2 in m 8.576 * [backup-simplify]: Simplify 1/2 into 1/2 8.576 * [taylor]: Taking taylor expansion of m in m 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 8.576 * [taylor]: Taking taylor expansion of 1/2 in m 8.576 * [backup-simplify]: Simplify 1/2 into 1/2 8.576 * [taylor]: Taking taylor expansion of n in m 8.576 * [backup-simplify]: Simplify n into n 8.576 * [taylor]: Taking taylor expansion of M in m 8.576 * [backup-simplify]: Simplify M into M 8.576 * [taylor]: Taking taylor expansion of l in m 8.576 * [backup-simplify]: Simplify l into l 8.577 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.577 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.577 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.577 * [backup-simplify]: Simplify (- M) into (- M) 8.577 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.578 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.578 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 8.578 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 8.578 * [backup-simplify]: Simplify (- M) into (- M) 8.578 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 8.578 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 8.578 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 8.578 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 8.578 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 8.578 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.578 * [taylor]: Taking taylor expansion of M in n 8.578 * [backup-simplify]: Simplify M into M 8.578 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 8.579 * [taylor]: Taking taylor expansion of l in n 8.579 * [backup-simplify]: Simplify l into l 8.579 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 8.579 * [taylor]: Taking taylor expansion of 1/4 in n 8.579 * [backup-simplify]: Simplify 1/4 into 1/4 8.579 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.579 * [taylor]: Taking taylor expansion of n in n 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [taylor]: Taking taylor expansion of (* M n) in n 8.579 * [taylor]: Taking taylor expansion of M in n 8.579 * [backup-simplify]: Simplify M into M 8.579 * [taylor]: Taking taylor expansion of n in n 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.579 * [backup-simplify]: Simplify (+ l 0) into l 8.579 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 8.579 * [backup-simplify]: Simplify (* M 0) into 0 8.580 * [backup-simplify]: Simplify (- 0) into 0 8.580 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 8.580 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 8.580 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.580 * [taylor]: Taking taylor expansion of M in M 8.580 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify 1 into 1 8.580 * [taylor]: Taking taylor expansion of l in M 8.580 * [backup-simplify]: Simplify l into l 8.580 * [backup-simplify]: Simplify (+ 0 l) into l 8.580 * [taylor]: Taking taylor expansion of l in l 8.580 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify 1 into 1 8.580 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.582 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.583 * [backup-simplify]: Simplify (- 0) into 0 8.583 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.584 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 8.585 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.585 * [backup-simplify]: Simplify (- 0) into 0 8.586 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.586 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 8.586 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 8.586 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 8.586 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 8.586 * [taylor]: Taking taylor expansion of 1/2 in n 8.586 * [backup-simplify]: Simplify 1/2 into 1/2 8.586 * [taylor]: Taking taylor expansion of n in n 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [taylor]: Taking taylor expansion of M in n 8.586 * [backup-simplify]: Simplify M into M 8.587 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.587 * [backup-simplify]: Simplify (- M) into (- M) 8.587 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.587 * [taylor]: Taking taylor expansion of (- 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 (- 0) into 0 8.588 * [taylor]: Taking taylor expansion of 0 in l 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.588 * [backup-simplify]: Simplify (+ 0 0) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.589 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.589 * [backup-simplify]: Simplify (- M) into (- M) 8.589 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 8.589 * [taylor]: Taking taylor expansion of (- M) in M 8.589 * [taylor]: Taking taylor expansion of M in M 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 1 into 1 8.590 * [backup-simplify]: Simplify (- 0) into 0 8.590 * [taylor]: Taking taylor expansion of 0 in l 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify (+ 0 0) into 0 8.590 * [taylor]: Taking taylor expansion of 0 in l 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.593 * [backup-simplify]: Simplify (- 0) into 0 8.593 * [backup-simplify]: Simplify (+ 0 0) into 0 8.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (- 0) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.597 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 8.597 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.597 * [taylor]: Taking taylor expansion of 1/4 in n 8.597 * [backup-simplify]: Simplify 1/4 into 1/4 8.597 * [taylor]: Taking taylor expansion of 1/4 in M 8.598 * [backup-simplify]: Simplify 1/4 into 1/4 8.598 * [taylor]: Taking taylor expansion of 1/4 in l 8.598 * [backup-simplify]: Simplify 1/4 into 1/4 8.598 * [backup-simplify]: Simplify 1/4 into 1/4 8.598 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.599 * [backup-simplify]: Simplify (- 0) into 0 8.599 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.599 * [taylor]: Taking taylor expansion of 1/2 in M 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [taylor]: Taking taylor expansion of 1/2 in l 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.599 * [backup-simplify]: Simplify 1/2 into 1/2 8.600 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 8.601 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 8.601 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 8.601 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 8.601 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.601 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 8.601 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 8.601 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.601 * [taylor]: Taking taylor expansion of 1/2 in l 8.601 * [backup-simplify]: Simplify 1/2 into 1/2 8.601 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.601 * [taylor]: Taking taylor expansion of m in l 8.601 * [backup-simplify]: Simplify m into m 8.601 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.601 * [taylor]: Taking taylor expansion of 1/2 in l 8.601 * [backup-simplify]: Simplify 1/2 into 1/2 8.601 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.601 * [taylor]: Taking taylor expansion of n in l 8.601 * [backup-simplify]: Simplify n into n 8.601 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.601 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.602 * [taylor]: Taking taylor expansion of M in l 8.602 * [backup-simplify]: Simplify M into M 8.602 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.602 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 8.602 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.602 * [taylor]: Taking taylor expansion of 1/2 in l 8.602 * [backup-simplify]: Simplify 1/2 into 1/2 8.602 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.602 * [taylor]: Taking taylor expansion of m in l 8.602 * [backup-simplify]: Simplify m into m 8.602 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.602 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.602 * [taylor]: Taking taylor expansion of 1/2 in l 8.602 * [backup-simplify]: Simplify 1/2 into 1/2 8.602 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.602 * [taylor]: Taking taylor expansion of n in l 8.602 * [backup-simplify]: Simplify n into n 8.602 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.602 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.602 * [taylor]: Taking taylor expansion of M in l 8.602 * [backup-simplify]: Simplify M into M 8.602 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.602 * [taylor]: Taking taylor expansion of (/ 1 l) in l 8.602 * [taylor]: Taking taylor expansion of l in l 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify 1 into 1 8.603 * [backup-simplify]: Simplify (/ 1 1) into 1 8.603 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 8.603 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.603 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 8.603 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.603 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.603 * [taylor]: Taking taylor expansion of 1/2 in M 8.603 * [backup-simplify]: Simplify 1/2 into 1/2 8.603 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.603 * [taylor]: Taking taylor expansion of m in M 8.603 * [backup-simplify]: Simplify m into m 8.603 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.603 * [taylor]: Taking taylor expansion of 1/2 in M 8.603 * [backup-simplify]: Simplify 1/2 into 1/2 8.603 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.604 * [taylor]: Taking taylor expansion of n in M 8.604 * [backup-simplify]: Simplify n into n 8.604 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.604 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.604 * [taylor]: Taking taylor expansion of M in M 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (/ 1 1) into 1 8.604 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 8.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.604 * [taylor]: Taking taylor expansion of 1/2 in M 8.604 * [backup-simplify]: Simplify 1/2 into 1/2 8.604 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.604 * [taylor]: Taking taylor expansion of m in M 8.604 * [backup-simplify]: Simplify m into m 8.605 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.605 * [taylor]: Taking taylor expansion of 1/2 in M 8.605 * [backup-simplify]: Simplify 1/2 into 1/2 8.605 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.605 * [taylor]: Taking taylor expansion of n in M 8.605 * [backup-simplify]: Simplify n into n 8.605 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.605 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.605 * [taylor]: Taking taylor expansion of M in M 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (/ 1 1) into 1 8.605 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.605 * [taylor]: Taking taylor expansion of l in M 8.605 * [backup-simplify]: Simplify l into l 8.605 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.605 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 8.605 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.606 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 8.606 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.606 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.606 * [taylor]: Taking taylor expansion of 1/2 in n 8.606 * [backup-simplify]: Simplify 1/2 into 1/2 8.606 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.606 * [taylor]: Taking taylor expansion of m in n 8.606 * [backup-simplify]: Simplify m into m 8.606 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.606 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.606 * [taylor]: Taking taylor expansion of 1/2 in n 8.606 * [backup-simplify]: Simplify 1/2 into 1/2 8.606 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.606 * [taylor]: Taking taylor expansion of n in n 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (/ 1 1) into 1 8.606 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.606 * [taylor]: Taking taylor expansion of M in n 8.606 * [backup-simplify]: Simplify M into M 8.607 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.607 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 8.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.607 * [taylor]: Taking taylor expansion of 1/2 in n 8.607 * [backup-simplify]: Simplify 1/2 into 1/2 8.607 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.607 * [taylor]: Taking taylor expansion of m in n 8.607 * [backup-simplify]: Simplify m into m 8.607 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.607 * [taylor]: Taking taylor expansion of 1/2 in n 8.607 * [backup-simplify]: Simplify 1/2 into 1/2 8.607 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.607 * [taylor]: Taking taylor expansion of n in n 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (/ 1 1) into 1 8.607 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.607 * [taylor]: Taking taylor expansion of M in n 8.607 * [backup-simplify]: Simplify M into M 8.608 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.608 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.608 * [taylor]: Taking taylor expansion of l in n 8.608 * [backup-simplify]: Simplify l into l 8.608 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.608 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 8.608 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.608 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 8.608 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.608 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.608 * [taylor]: Taking taylor expansion of 1/2 in m 8.608 * [backup-simplify]: Simplify 1/2 into 1/2 8.608 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.608 * [taylor]: Taking taylor expansion of m in m 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify 1 into 1 8.608 * [backup-simplify]: Simplify (/ 1 1) into 1 8.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.609 * [taylor]: Taking taylor expansion of 1/2 in m 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.609 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.609 * [taylor]: Taking taylor expansion of n in m 8.609 * [backup-simplify]: Simplify n into n 8.609 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.609 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.609 * [taylor]: Taking taylor expansion of M in m 8.609 * [backup-simplify]: Simplify M into M 8.609 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.609 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.609 * [taylor]: Taking taylor expansion of 1/2 in m 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.609 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.609 * [taylor]: Taking taylor expansion of m in m 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [backup-simplify]: Simplify (/ 1 1) into 1 8.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.609 * [taylor]: Taking taylor expansion of 1/2 in m 8.609 * [backup-simplify]: Simplify 1/2 into 1/2 8.610 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.610 * [taylor]: Taking taylor expansion of n in m 8.610 * [backup-simplify]: Simplify n into n 8.610 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.610 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.610 * [taylor]: Taking taylor expansion of M in m 8.610 * [backup-simplify]: Simplify M into M 8.610 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.610 * [taylor]: Taking taylor expansion of (/ 1 l) in m 8.610 * [taylor]: Taking taylor expansion of l in m 8.610 * [backup-simplify]: Simplify l into l 8.610 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.610 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 8.610 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 8.610 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 8.610 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.610 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.610 * [taylor]: Taking taylor expansion of 1/2 in m 8.610 * [backup-simplify]: Simplify 1/2 into 1/2 8.610 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.610 * [taylor]: Taking taylor expansion of m in m 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.611 * [backup-simplify]: Simplify (/ 1 1) into 1 8.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.611 * [taylor]: Taking taylor expansion of 1/2 in m 8.611 * [backup-simplify]: Simplify 1/2 into 1/2 8.611 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.611 * [taylor]: Taking taylor expansion of n in m 8.611 * [backup-simplify]: Simplify n into n 8.611 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.611 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.611 * [taylor]: Taking taylor expansion of M in m 8.611 * [backup-simplify]: Simplify M into M 8.611 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.611 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 8.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.611 * [taylor]: Taking taylor expansion of 1/2 in m 8.611 * [backup-simplify]: Simplify 1/2 into 1/2 8.611 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.611 * [taylor]: Taking taylor expansion of m in m 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.612 * [backup-simplify]: Simplify (/ 1 1) into 1 8.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.612 * [taylor]: Taking taylor expansion of 1/2 in m 8.612 * [backup-simplify]: Simplify 1/2 into 1/2 8.612 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.612 * [taylor]: Taking taylor expansion of n in m 8.612 * [backup-simplify]: Simplify n into n 8.612 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.612 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.612 * [taylor]: Taking taylor expansion of M in m 8.612 * [backup-simplify]: Simplify M into M 8.612 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.612 * [taylor]: Taking taylor expansion of (/ 1 l) in m 8.612 * [taylor]: Taking taylor expansion of l in m 8.612 * [backup-simplify]: Simplify l into l 8.612 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.613 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.613 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.614 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.614 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.614 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.615 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.615 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 8.616 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.616 * [taylor]: Taking taylor expansion of 1/4 in n 8.616 * [backup-simplify]: Simplify 1/4 into 1/4 8.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.617 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.617 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.618 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.619 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.619 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.619 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.620 * [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)) 8.620 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.620 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.620 * [taylor]: Taking taylor expansion of 1/2 in n 8.620 * [backup-simplify]: Simplify 1/2 into 1/2 8.620 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.620 * [taylor]: Taking taylor expansion of n in n 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (/ 1 1) into 1 8.621 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.621 * [taylor]: Taking taylor expansion of M in n 8.621 * [backup-simplify]: Simplify M into M 8.621 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.624 * [backup-simplify]: Simplify (- 0) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.628 * [backup-simplify]: Simplify (- 0) into 0 8.628 * [backup-simplify]: Simplify (+ 0 0) into 0 8.629 * [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))) 8.630 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 8.630 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 8.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 8.630 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.630 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.630 * [taylor]: Taking taylor expansion of M in n 8.630 * [backup-simplify]: Simplify M into M 8.630 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.630 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.630 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 8.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.630 * [taylor]: Taking taylor expansion of 1/4 in n 8.630 * [backup-simplify]: Simplify 1/4 into 1/4 8.630 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.630 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.630 * [taylor]: Taking taylor expansion of n in n 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.631 * [backup-simplify]: Simplify (/ 1 1) into 1 8.631 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.631 * [taylor]: Taking taylor expansion of l in n 8.631 * [backup-simplify]: Simplify l into l 8.631 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.631 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.631 * [taylor]: Taking taylor expansion of (* M n) in n 8.631 * [taylor]: Taking taylor expansion of M in n 8.631 * [backup-simplify]: Simplify M into M 8.631 * [taylor]: Taking taylor expansion of n in n 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.632 * [backup-simplify]: Simplify (* M 0) into 0 8.632 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.632 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.632 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.633 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.633 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.634 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.634 * [taylor]: Taking taylor expansion of 1/4 in M 8.634 * [backup-simplify]: Simplify 1/4 into 1/4 8.634 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.635 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.635 * [taylor]: Taking taylor expansion of 1/2 in M 8.635 * [backup-simplify]: Simplify 1/2 into 1/2 8.635 * [taylor]: Taking taylor expansion of 1/4 in M 8.635 * [backup-simplify]: Simplify 1/4 into 1/4 8.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.639 * [backup-simplify]: Simplify (+ 0 0) into 0 8.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.639 * [backup-simplify]: Simplify (- 0) into 0 8.640 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.643 * [backup-simplify]: Simplify (+ 0 0) into 0 8.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.644 * [backup-simplify]: Simplify (- 0) into 0 8.644 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.646 * [taylor]: Taking taylor expansion of 0 in n 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.648 * [backup-simplify]: Simplify (+ 0 0) into 0 8.648 * [backup-simplify]: Simplify (+ 0 0) into 0 8.648 * [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 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.650 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.650 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.650 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.650 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.650 * [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 8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.653 * [backup-simplify]: Simplify (- 0) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.656 * [backup-simplify]: Simplify (- 0) into 0 8.656 * [backup-simplify]: Simplify (+ 0 0) into 0 8.657 * [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 8.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.658 * [backup-simplify]: Simplify (+ 0 0) into 0 8.658 * [taylor]: Taking taylor expansion of 0 in n 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.659 * [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 (+ 0 (/ 1 l)) into (/ 1 l) 8.659 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 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)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 8.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 8.660 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.660 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.660 * [taylor]: Taking taylor expansion of M in M 8.660 * [backup-simplify]: Simplify 0 into 0 8.660 * [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 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.661 * [taylor]: Taking taylor expansion of l in M 8.661 * [backup-simplify]: Simplify l into l 8.661 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.661 * [backup-simplify]: Simplify (+ 1 0) into 1 8.661 * [taylor]: Taking taylor expansion of 1 in l 8.661 * [backup-simplify]: Simplify 1 into 1 8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.663 * [backup-simplify]: Simplify (- 0) into 0 8.663 * [backup-simplify]: Simplify (+ 0 0) into 0 8.663 * [taylor]: Taking taylor expansion of 0 in M 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [taylor]: Taking taylor expansion of 0 in M 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify (- 1) into -1 8.663 * [taylor]: Taking taylor expansion of -1 in l 8.663 * [backup-simplify]: Simplify -1 into -1 8.663 * [backup-simplify]: Simplify (- 1) into -1 8.663 * [taylor]: Taking taylor expansion of -1 in l 8.663 * [backup-simplify]: Simplify -1 into -1 8.663 * [taylor]: Taking taylor expansion of 1/4 in l 8.663 * [backup-simplify]: Simplify 1/4 into 1/4 8.664 * [taylor]: Taking taylor expansion of 1/2 in l 8.664 * [backup-simplify]: Simplify 1/2 into 1/2 8.664 * [taylor]: Taking taylor expansion of 1/4 in l 8.664 * [backup-simplify]: Simplify 1/4 into 1/4 8.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.672 * [backup-simplify]: Simplify (+ 0 0) into 0 8.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.673 * [backup-simplify]: Simplify (- 0) into 0 8.673 * [backup-simplify]: Simplify (+ 0 0) into 0 8.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.675 * [backup-simplify]: Simplify (+ 0 0) into 0 8.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.676 * [backup-simplify]: Simplify (- 0) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 8.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.679 * [backup-simplify]: Simplify (+ 0 0) into 0 8.679 * [taylor]: Taking taylor expansion of 0 in n 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [taylor]: Taking taylor expansion of 0 in M 8.679 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 8.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.685 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.686 * [backup-simplify]: Simplify (- 0) into 0 8.686 * [backup-simplify]: Simplify (+ 0 0) into 0 8.686 * [taylor]: Taking taylor expansion of 0 in M 8.686 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.690 * [backup-simplify]: Simplify (- 0) into 0 8.690 * [backup-simplify]: Simplify (+ 0 0) into 0 8.690 * [taylor]: Taking taylor expansion of 0 in M 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [taylor]: Taking taylor expansion of 0 in M 8.690 * [backup-simplify]: Simplify 0 into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.692 * [backup-simplify]: Simplify (+ 0 0) into 0 8.692 * [taylor]: Taking taylor expansion of 0 in l 8.692 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (- 0) into 0 8.693 * [taylor]: Taking taylor expansion of 0 in l 8.693 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.694 * [taylor]: Taking taylor expansion of 0 in l 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [taylor]: Taking taylor expansion of 0 in l 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [taylor]: Taking taylor expansion of 0 in l 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [taylor]: Taking taylor expansion of 0 in l 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [taylor]: Taking taylor expansion of 0 in l 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.695 * [backup-simplify]: Simplify -1 into -1 8.695 * [backup-simplify]: Simplify -1 into -1 8.696 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.697 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 8.697 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 8.697 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 8.697 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.697 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 8.697 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 8.697 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.697 * [taylor]: Taking taylor expansion of M in l 8.697 * [backup-simplify]: Simplify M into M 8.697 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.697 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.697 * [taylor]: Taking taylor expansion of 1/2 in l 8.697 * [backup-simplify]: Simplify 1/2 into 1/2 8.697 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.697 * [taylor]: Taking taylor expansion of m in l 8.697 * [backup-simplify]: Simplify m into m 8.697 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.698 * [taylor]: Taking taylor expansion of 1/2 in l 8.698 * [backup-simplify]: Simplify 1/2 into 1/2 8.698 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.698 * [taylor]: Taking taylor expansion of n in l 8.698 * [backup-simplify]: Simplify n into n 8.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.698 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 8.698 * [taylor]: Taking taylor expansion of (/ 1 M) in l 8.698 * [taylor]: Taking taylor expansion of M in l 8.698 * [backup-simplify]: Simplify M into M 8.698 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 8.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 8.698 * [taylor]: Taking taylor expansion of 1/2 in l 8.698 * [backup-simplify]: Simplify 1/2 into 1/2 8.698 * [taylor]: Taking taylor expansion of (/ 1 m) in l 8.698 * [taylor]: Taking taylor expansion of m in l 8.698 * [backup-simplify]: Simplify m into m 8.698 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 8.698 * [taylor]: Taking taylor expansion of 1/2 in l 8.698 * [backup-simplify]: Simplify 1/2 into 1/2 8.698 * [taylor]: Taking taylor expansion of (/ 1 n) in l 8.698 * [taylor]: Taking taylor expansion of n in l 8.698 * [backup-simplify]: Simplify n into n 8.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.698 * [taylor]: Taking taylor expansion of (/ -1 l) in l 8.698 * [taylor]: Taking taylor expansion of -1 in l 8.698 * [backup-simplify]: Simplify -1 into -1 8.698 * [taylor]: Taking taylor expansion of l in l 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 1 into 1 8.699 * [backup-simplify]: Simplify (/ -1 1) into -1 8.699 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 8.699 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.699 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 8.699 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 8.699 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.699 * [taylor]: Taking taylor expansion of M in M 8.699 * [backup-simplify]: Simplify 0 into 0 8.699 * [backup-simplify]: Simplify 1 into 1 8.700 * [backup-simplify]: Simplify (/ 1 1) into 1 8.700 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.700 * [taylor]: Taking taylor expansion of 1/2 in M 8.700 * [backup-simplify]: Simplify 1/2 into 1/2 8.700 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.700 * [taylor]: Taking taylor expansion of m in M 8.700 * [backup-simplify]: Simplify m into m 8.700 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.700 * [taylor]: Taking taylor expansion of 1/2 in M 8.700 * [backup-simplify]: Simplify 1/2 into 1/2 8.700 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.700 * [taylor]: Taking taylor expansion of n in M 8.700 * [backup-simplify]: Simplify n into n 8.700 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.700 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 8.700 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.700 * [taylor]: Taking taylor expansion of M in M 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.701 * [backup-simplify]: Simplify (/ 1 1) into 1 8.701 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 8.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 8.701 * [taylor]: Taking taylor expansion of 1/2 in M 8.701 * [backup-simplify]: Simplify 1/2 into 1/2 8.701 * [taylor]: Taking taylor expansion of (/ 1 m) in M 8.701 * [taylor]: Taking taylor expansion of m in M 8.701 * [backup-simplify]: Simplify m into m 8.701 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 8.701 * [taylor]: Taking taylor expansion of 1/2 in M 8.701 * [backup-simplify]: Simplify 1/2 into 1/2 8.701 * [taylor]: Taking taylor expansion of (/ 1 n) in M 8.701 * [taylor]: Taking taylor expansion of n in M 8.701 * [backup-simplify]: Simplify n into n 8.701 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.701 * [taylor]: Taking taylor expansion of (/ -1 l) in M 8.702 * [taylor]: Taking taylor expansion of -1 in M 8.702 * [backup-simplify]: Simplify -1 into -1 8.702 * [taylor]: Taking taylor expansion of l in M 8.702 * [backup-simplify]: Simplify l into l 8.702 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.702 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 8.702 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.702 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 8.702 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 8.702 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.702 * [taylor]: Taking taylor expansion of M in n 8.702 * [backup-simplify]: Simplify M into M 8.702 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.702 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.702 * [taylor]: Taking taylor expansion of 1/2 in n 8.702 * [backup-simplify]: Simplify 1/2 into 1/2 8.702 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.702 * [taylor]: Taking taylor expansion of m in n 8.702 * [backup-simplify]: Simplify m into m 8.702 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.702 * [taylor]: Taking taylor expansion of 1/2 in n 8.702 * [backup-simplify]: Simplify 1/2 into 1/2 8.703 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.703 * [taylor]: Taking taylor expansion of n in n 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 1 into 1 8.703 * [backup-simplify]: Simplify (/ 1 1) into 1 8.703 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 8.703 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.703 * [taylor]: Taking taylor expansion of M in n 8.703 * [backup-simplify]: Simplify M into M 8.703 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.703 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 8.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 8.703 * [taylor]: Taking taylor expansion of 1/2 in n 8.703 * [backup-simplify]: Simplify 1/2 into 1/2 8.703 * [taylor]: Taking taylor expansion of (/ 1 m) in n 8.703 * [taylor]: Taking taylor expansion of m in n 8.703 * [backup-simplify]: Simplify m into m 8.703 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 8.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.704 * [taylor]: Taking taylor expansion of 1/2 in n 8.704 * [backup-simplify]: Simplify 1/2 into 1/2 8.704 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.704 * [taylor]: Taking taylor expansion of n in n 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.704 * [backup-simplify]: Simplify (/ 1 1) into 1 8.704 * [taylor]: Taking taylor expansion of (/ -1 l) in n 8.704 * [taylor]: Taking taylor expansion of -1 in n 8.704 * [backup-simplify]: Simplify -1 into -1 8.704 * [taylor]: Taking taylor expansion of l in n 8.704 * [backup-simplify]: Simplify l into l 8.704 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.704 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 8.704 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.704 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 8.705 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.705 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.705 * [taylor]: Taking taylor expansion of M in m 8.705 * [backup-simplify]: Simplify M into M 8.705 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.705 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.705 * [taylor]: Taking taylor expansion of 1/2 in m 8.705 * [backup-simplify]: Simplify 1/2 into 1/2 8.705 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.705 * [taylor]: Taking taylor expansion of m in m 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (/ 1 1) into 1 8.705 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.705 * [taylor]: Taking taylor expansion of 1/2 in m 8.705 * [backup-simplify]: Simplify 1/2 into 1/2 8.705 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.705 * [taylor]: Taking taylor expansion of n in m 8.705 * [backup-simplify]: Simplify n into n 8.706 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.706 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.706 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.706 * [taylor]: Taking taylor expansion of M in m 8.706 * [backup-simplify]: Simplify M into M 8.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.706 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.706 * [taylor]: Taking taylor expansion of 1/2 in m 8.706 * [backup-simplify]: Simplify 1/2 into 1/2 8.706 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.706 * [taylor]: Taking taylor expansion of m in m 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.706 * [backup-simplify]: Simplify (/ 1 1) into 1 8.706 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.706 * [taylor]: Taking taylor expansion of 1/2 in m 8.706 * [backup-simplify]: Simplify 1/2 into 1/2 8.707 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.707 * [taylor]: Taking taylor expansion of n in m 8.707 * [backup-simplify]: Simplify n into n 8.707 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.707 * [taylor]: Taking taylor expansion of (/ -1 l) in m 8.707 * [taylor]: Taking taylor expansion of -1 in m 8.707 * [backup-simplify]: Simplify -1 into -1 8.707 * [taylor]: Taking taylor expansion of l in m 8.707 * [backup-simplify]: Simplify l into l 8.707 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.707 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 8.707 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 8.707 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 8.707 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.707 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.707 * [taylor]: Taking taylor expansion of M in m 8.707 * [backup-simplify]: Simplify M into M 8.707 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.707 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.707 * [taylor]: Taking taylor expansion of 1/2 in m 8.707 * [backup-simplify]: Simplify 1/2 into 1/2 8.707 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.707 * [taylor]: Taking taylor expansion of m in m 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (/ 1 1) into 1 8.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.708 * [taylor]: Taking taylor expansion of 1/2 in m 8.708 * [backup-simplify]: Simplify 1/2 into 1/2 8.708 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.708 * [taylor]: Taking taylor expansion of n in m 8.708 * [backup-simplify]: Simplify n into n 8.708 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.708 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 8.708 * [taylor]: Taking taylor expansion of (/ 1 M) in m 8.708 * [taylor]: Taking taylor expansion of M in m 8.708 * [backup-simplify]: Simplify M into M 8.708 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.708 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 8.708 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 8.708 * [taylor]: Taking taylor expansion of 1/2 in m 8.708 * [backup-simplify]: Simplify 1/2 into 1/2 8.708 * [taylor]: Taking taylor expansion of (/ 1 m) in m 8.708 * [taylor]: Taking taylor expansion of m in m 8.709 * [backup-simplify]: Simplify 0 into 0 8.709 * [backup-simplify]: Simplify 1 into 1 8.709 * [backup-simplify]: Simplify (/ 1 1) into 1 8.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 8.709 * [taylor]: Taking taylor expansion of 1/2 in m 8.709 * [backup-simplify]: Simplify 1/2 into 1/2 8.709 * [taylor]: Taking taylor expansion of (/ 1 n) in m 8.709 * [taylor]: Taking taylor expansion of n in m 8.709 * [backup-simplify]: Simplify n into n 8.709 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.709 * [taylor]: Taking taylor expansion of (/ -1 l) in m 8.709 * [taylor]: Taking taylor expansion of -1 in m 8.709 * [backup-simplify]: Simplify -1 into -1 8.709 * [taylor]: Taking taylor expansion of l in m 8.709 * [backup-simplify]: Simplify l into l 8.709 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 8.710 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.710 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.711 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.711 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.712 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.712 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.713 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.713 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 8.713 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 8.714 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.714 * [taylor]: Taking taylor expansion of 1/4 in n 8.714 * [backup-simplify]: Simplify 1/4 into 1/4 8.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.716 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.716 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.716 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 8.716 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 8.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.717 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 8.718 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 8.718 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 8.718 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 8.718 * [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)) 8.718 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 8.718 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 8.718 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 8.719 * [taylor]: Taking taylor expansion of 1/2 in n 8.719 * [backup-simplify]: Simplify 1/2 into 1/2 8.719 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.719 * [taylor]: Taking taylor expansion of n in n 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [backup-simplify]: Simplify (/ 1 1) into 1 8.719 * [taylor]: Taking taylor expansion of (/ 1 M) in n 8.719 * [taylor]: Taking taylor expansion of M in n 8.719 * [backup-simplify]: Simplify M into M 8.719 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.722 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 8.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 8.726 * [backup-simplify]: Simplify (+ 0 0) into 0 8.726 * [backup-simplify]: Simplify (- 0) into 0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [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))) 8.729 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 8.729 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 8.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 8.729 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 8.729 * [taylor]: Taking taylor expansion of (pow M 2) in n 8.729 * [taylor]: Taking taylor expansion of M in n 8.729 * [backup-simplify]: Simplify M into M 8.729 * [backup-simplify]: Simplify (* M M) into (pow M 2) 8.729 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 8.729 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 8.729 * [taylor]: Taking taylor expansion of 1/4 in n 8.729 * [backup-simplify]: Simplify 1/4 into 1/4 8.729 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 8.729 * [taylor]: Taking taylor expansion of (pow n 2) in n 8.729 * [taylor]: Taking taylor expansion of n in n 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (* 1 1) into 1 8.730 * [backup-simplify]: Simplify (/ 1 1) into 1 8.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 8.730 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 8.730 * [taylor]: Taking taylor expansion of (* M n) in n 8.730 * [taylor]: Taking taylor expansion of M in n 8.730 * [backup-simplify]: Simplify M into M 8.730 * [taylor]: Taking taylor expansion of n in n 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify (* M 0) into 0 8.731 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 8.731 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 8.731 * [taylor]: Taking taylor expansion of (/ 1 l) in n 8.731 * [taylor]: Taking taylor expansion of l in n 8.731 * [backup-simplify]: Simplify l into l 8.731 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.731 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 8.732 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 8.732 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 8.732 * [taylor]: Taking taylor expansion of 1/4 in M 8.732 * [backup-simplify]: Simplify 1/4 into 1/4 8.733 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.733 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 8.733 * [taylor]: Taking taylor expansion of 1/2 in M 8.733 * [backup-simplify]: Simplify 1/2 into 1/2 8.733 * [taylor]: Taking taylor expansion of 1/4 in M 8.733 * [backup-simplify]: Simplify 1/4 into 1/4 8.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (- 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 8.742 * [backup-simplify]: Simplify (+ 0 0) into 0 8.743 * [backup-simplify]: Simplify (- 0) into 0 8.743 * [backup-simplify]: Simplify (+ 0 0) into 0 8.744 * [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 8.744 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [taylor]: Taking taylor expansion of 0 in n 8.745 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 8.747 * [backup-simplify]: Simplify (+ 0 0) into 0 8.748 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 8.748 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.748 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.748 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.748 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.748 * [taylor]: Taking taylor expansion of M in M 8.748 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.750 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 8.750 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 8.750 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 8.750 * [taylor]: Taking taylor expansion of (/ 1 M) in M 8.750 * [taylor]: Taking taylor expansion of M in M 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (/ 1 1) into 1 8.751 * [taylor]: Taking taylor expansion of 0 in M 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.756 * [backup-simplify]: Simplify (+ 0 0) into 0 8.756 * [backup-simplify]: Simplify (- 0) into 0 8.756 * [backup-simplify]: Simplify (+ 0 0) into 0 8.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (- 0) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.763 * [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 8.763 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.763 * [backup-simplify]: Simplify (+ 0 0) into 0 8.764 * [taylor]: Taking taylor expansion of 0 in n 8.764 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 8.767 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 8.768 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 8.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.768 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 8.768 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 8.768 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 8.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 8.768 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 8.768 * [taylor]: Taking taylor expansion of (pow M 2) in M 8.768 * [taylor]: Taking taylor expansion of M in M 8.768 * [backup-simplify]: Simplify 0 into 0 8.768 * [backup-simplify]: Simplify 1 into 1 8.769 * [backup-simplify]: Simplify (* 1 1) into 1 8.769 * [backup-simplify]: Simplify (/ 1 1) into 1 8.769 * [taylor]: Taking taylor expansion of (/ 1 l) in M 8.769 * [taylor]: Taking taylor expansion of l in M 8.769 * [backup-simplify]: Simplify l into l 8.769 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 8.770 * [backup-simplify]: Simplify (+ 1 0) into 1 8.770 * [taylor]: Taking taylor expansion of 1 in l 8.770 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.772 * [backup-simplify]: Simplify (- 0) into 0 8.773 * [backup-simplify]: Simplify (+ 0 0) into 0 8.773 * [taylor]: Taking taylor expansion of 0 in M 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [taylor]: Taking taylor expansion of 0 in M 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify (- 1) into -1 8.773 * [taylor]: Taking taylor expansion of -1 in l 8.773 * [backup-simplify]: Simplify -1 into -1 8.774 * [backup-simplify]: Simplify (- 1) into -1 8.774 * [taylor]: Taking taylor expansion of -1 in l 8.774 * [backup-simplify]: Simplify -1 into -1 8.774 * [taylor]: Taking taylor expansion of 1/4 in l 8.774 * [backup-simplify]: Simplify 1/4 into 1/4 8.774 * [taylor]: Taking taylor expansion of 1/2 in l 8.774 * [backup-simplify]: Simplify 1/2 into 1/2 8.774 * [taylor]: Taking taylor expansion of 1/4 in l 8.774 * [backup-simplify]: Simplify 1/4 into 1/4 8.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.779 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [backup-simplify]: Simplify (- 0) into 0 8.780 * [backup-simplify]: Simplify (+ 0 0) into 0 8.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 8.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 8.785 * [backup-simplify]: Simplify (+ 0 0) into 0 8.785 * [backup-simplify]: Simplify (- 0) into 0 8.786 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 8.788 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [taylor]: Taking taylor expansion of 0 in n 8.788 * [backup-simplify]: Simplify 0 into 0 8.789 * [taylor]: Taking taylor expansion of 0 in M 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 8.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.793 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 8.794 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (- 0) into 0 8.795 * [backup-simplify]: Simplify (+ 0 0) into 0 8.795 * [taylor]: Taking taylor expansion of 0 in M 8.795 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 8.798 * [backup-simplify]: Simplify (- 0) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.798 * [taylor]: Taking taylor expansion of 0 in M 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [taylor]: Taking taylor expansion of 0 in M 8.798 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.800 * [backup-simplify]: Simplify (+ 0 0) into 0 8.800 * [taylor]: Taking taylor expansion of 0 in l 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (- 0) into 0 8.802 * [taylor]: Taking taylor expansion of 0 in l 8.802 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.803 * [backup-simplify]: Simplify (- 0) into 0 8.803 * [taylor]: Taking taylor expansion of 0 in l 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in l 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in l 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in l 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [taylor]: Taking taylor expansion of 0 in l 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 1 into 1 8.804 * [backup-simplify]: Simplify -1 into -1 8.804 * [backup-simplify]: Simplify -1 into -1 8.805 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.805 * * * [progress]: simplifying candidates 8.805 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 8.805 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 8.806 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 8.806 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> 8.806 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 8.806 * [simplify]: Simplifying (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 8.806 * * [simplify]: iters left: 6 (12 enodes) 8.814 * * [simplify]: iters left: 5 (51 enodes) 8.836 * * [simplify]: iters left: 4 (82 enodes) 8.865 * * [simplify]: iters left: 3 (129 enodes) 8.897 * * [simplify]: iters left: 2 (151 enodes) 8.931 * * [simplify]: iters left: 1 (153 enodes) 8.960 * * [simplify]: Extracting #0: cost 1 inf + 0 8.960 * * [simplify]: Extracting #1: cost 18 inf + 0 8.960 * * [simplify]: Extracting #2: cost 24 inf + 47 8.961 * * [simplify]: Extracting #3: cost 11 inf + 729 8.962 * * [simplify]: Extracting #4: cost 2 inf + 1640 8.964 * * [simplify]: Extracting #5: cost 0 inf + 1934 8.965 * [simplify]: Simplified to (fma m (fma 1/4 m (* 1/2 n)) l) 8.965 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (- (fma m (fma 1/4 m (* 1/2 n)) l) (fabs (- m n)))))) 8.966 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 8.966 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 8.966 * * [simplify]: iters left: 6 (9 enodes) 8.975 * * [simplify]: iters left: 5 (40 enodes) 8.989 * * [simplify]: iters left: 4 (70 enodes) 9.013 * * [simplify]: iters left: 3 (126 enodes) 9.064 * * [simplify]: iters left: 2 (218 enodes) 9.125 * * [simplify]: iters left: 1 (305 enodes) 9.188 * * [simplify]: Extracting #0: cost 1 inf + 0 9.188 * * [simplify]: Extracting #1: cost 29 inf + 0 9.188 * * [simplify]: Extracting #2: cost 55 inf + 127 9.189 * * [simplify]: Extracting #3: cost 16 inf + 3248 9.191 * * [simplify]: Extracting #4: cost 0 inf + 4603 9.194 * [simplify]: Simplified to (* (- (- M n) m) M) 9.194 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 9.194 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 9.194 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 9.194 * * [simplify]: iters left: 6 (9 enodes) 9.197 * * [simplify]: iters left: 5 (40 enodes) 9.204 * * [simplify]: iters left: 4 (70 enodes) 9.216 * * [simplify]: iters left: 3 (126 enodes) 9.270 * * [simplify]: iters left: 2 (218 enodes) 9.367 * * [simplify]: iters left: 1 (305 enodes) 9.456 * * [simplify]: Extracting #0: cost 1 inf + 0 9.456 * * [simplify]: Extracting #1: cost 29 inf + 0 9.457 * * [simplify]: Extracting #2: cost 55 inf + 127 9.458 * * [simplify]: Extracting #3: cost 16 inf + 3248 9.459 * * [simplify]: Extracting #4: cost 0 inf + 4603 9.461 * [simplify]: Simplified to (* (- (- M n) m) M) 9.461 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 9.461 * * * [progress]: adding candidates to table 9.692 * * [progress]: iteration 3 / 4 9.692 * * * [progress]: picking best candidate 9.723 * * * * [pick]: Picked # 9.723 * * * [progress]: localizing error 9.817 * * * [progress]: generating rewritten candidates 9.818 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 9.832 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 9.845 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 9.879 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 9.903 * * * [progress]: generating series expansions 9.904 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 9.904 * [backup-simplify]: Simplify (sin (* m (/ K 2))) into (sin (* 1/2 (* m K))) 9.904 * [approximate]: Taking taylor expansion of (sin (* 1/2 (* m K))) in (m K) around 0 9.904 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in K 9.904 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 9.904 * [taylor]: Taking taylor expansion of 1/2 in K 9.904 * [backup-simplify]: Simplify 1/2 into 1/2 9.904 * [taylor]: Taking taylor expansion of (* m K) in K 9.904 * [taylor]: Taking taylor expansion of m in K 9.904 * [backup-simplify]: Simplify m into m 9.904 * [taylor]: Taking taylor expansion of K in K 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [backup-simplify]: Simplify (* m 0) into 0 9.904 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.905 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.905 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 9.905 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 9.905 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 9.905 * [taylor]: Taking taylor expansion of 1/2 in m 9.905 * [backup-simplify]: Simplify 1/2 into 1/2 9.905 * [taylor]: Taking taylor expansion of (* m K) in m 9.905 * [taylor]: Taking taylor expansion of m in m 9.905 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify 1 into 1 9.905 * [taylor]: Taking taylor expansion of K in m 9.905 * [backup-simplify]: Simplify K into K 9.905 * [backup-simplify]: Simplify (* 0 K) into 0 9.905 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.906 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.906 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 9.906 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 9.906 * [taylor]: Taking taylor expansion of 1/2 in m 9.906 * [backup-simplify]: Simplify 1/2 into 1/2 9.906 * [taylor]: Taking taylor expansion of (* m K) in m 9.906 * [taylor]: Taking taylor expansion of m in m 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify 1 into 1 9.906 * [taylor]: Taking taylor expansion of K in m 9.906 * [backup-simplify]: Simplify K into K 9.906 * [backup-simplify]: Simplify (* 0 K) into 0 9.906 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.907 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.907 * [taylor]: Taking taylor expansion of 0 in K 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.907 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 9.907 * [taylor]: Taking taylor expansion of 1/2 in K 9.907 * [backup-simplify]: Simplify 1/2 into 1/2 9.907 * [taylor]: Taking taylor expansion of K in K 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 1 into 1 9.908 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 9.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.910 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.910 * [taylor]: Taking taylor expansion of 0 in K 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 0 into 0 9.911 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.911 * [backup-simplify]: Simplify 1/2 into 1/2 9.911 * [backup-simplify]: Simplify 0 into 0 9.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 9.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 9.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 9.914 * [taylor]: Taking taylor expansion of (- (* 1/48 (pow K 3))) in K 9.914 * [taylor]: Taking taylor expansion of (* 1/48 (pow K 3)) in K 9.914 * [taylor]: Taking taylor expansion of 1/48 in K 9.914 * [backup-simplify]: Simplify 1/48 into 1/48 9.914 * [taylor]: Taking taylor expansion of (pow K 3) in K 9.914 * [taylor]: Taking taylor expansion of K in K 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 1 into 1 9.915 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.916 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify 0 into 0 9.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 9.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 K) (* 0 0))))) into 0 9.920 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.920 * [taylor]: Taking taylor expansion of 0 in K 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 9.920 * [backup-simplify]: Simplify (sin (* (/ 1 m) (/ (/ 1 K) 2))) into (sin (/ 1/2 (* m K))) 9.920 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 9.920 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 9.920 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.920 * [taylor]: Taking taylor expansion of 1/2 in K 9.921 * [backup-simplify]: Simplify 1/2 into 1/2 9.921 * [taylor]: Taking taylor expansion of (* m K) in K 9.921 * [taylor]: Taking taylor expansion of m in K 9.921 * [backup-simplify]: Simplify m into m 9.921 * [taylor]: Taking taylor expansion of K in K 9.921 * [backup-simplify]: Simplify 0 into 0 9.921 * [backup-simplify]: Simplify 1 into 1 9.921 * [backup-simplify]: Simplify (* m 0) into 0 9.921 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.921 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.921 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.921 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 9.921 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.921 * [taylor]: Taking taylor expansion of 1/2 in m 9.921 * [backup-simplify]: Simplify 1/2 into 1/2 9.921 * [taylor]: Taking taylor expansion of (* m K) in m 9.921 * [taylor]: Taking taylor expansion of m in m 9.921 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [taylor]: Taking taylor expansion of K in m 9.922 * [backup-simplify]: Simplify K into K 9.922 * [backup-simplify]: Simplify (* 0 K) into 0 9.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.922 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.922 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.922 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 9.922 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.922 * [taylor]: Taking taylor expansion of 1/2 in m 9.922 * [backup-simplify]: Simplify 1/2 into 1/2 9.922 * [taylor]: Taking taylor expansion of (* m K) in m 9.922 * [taylor]: Taking taylor expansion of m in m 9.922 * [backup-simplify]: Simplify 0 into 0 9.922 * [backup-simplify]: Simplify 1 into 1 9.922 * [taylor]: Taking taylor expansion of K in m 9.922 * [backup-simplify]: Simplify K into K 9.923 * [backup-simplify]: Simplify (* 0 K) into 0 9.923 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.923 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.923 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.923 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 9.923 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.923 * [taylor]: Taking taylor expansion of 1/2 in K 9.923 * [backup-simplify]: Simplify 1/2 into 1/2 9.923 * [taylor]: Taking taylor expansion of (* m K) in K 9.923 * [taylor]: Taking taylor expansion of m in K 9.923 * [backup-simplify]: Simplify m into m 9.923 * [taylor]: Taking taylor expansion of K in K 9.923 * [backup-simplify]: Simplify 0 into 0 9.923 * [backup-simplify]: Simplify 1 into 1 9.923 * [backup-simplify]: Simplify (* m 0) into 0 9.924 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.924 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.924 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.924 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.924 * [taylor]: Taking taylor expansion of 0 in K 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [taylor]: Taking taylor expansion of 0 in K 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [taylor]: Taking taylor expansion of 0 in K 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (sin (* 1/2 (* m K))) 9.925 * [backup-simplify]: Simplify (sin (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (sin (/ 1/2 (* m K))) 9.925 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 9.925 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 9.925 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.925 * [taylor]: Taking taylor expansion of 1/2 in K 9.925 * [backup-simplify]: Simplify 1/2 into 1/2 9.925 * [taylor]: Taking taylor expansion of (* m K) in K 9.925 * [taylor]: Taking taylor expansion of m in K 9.925 * [backup-simplify]: Simplify m into m 9.925 * [taylor]: Taking taylor expansion of K in K 9.925 * [backup-simplify]: Simplify 0 into 0 9.925 * [backup-simplify]: Simplify 1 into 1 9.925 * [backup-simplify]: Simplify (* m 0) into 0 9.926 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.926 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.926 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.926 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 9.926 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.926 * [taylor]: Taking taylor expansion of 1/2 in m 9.926 * [backup-simplify]: Simplify 1/2 into 1/2 9.926 * [taylor]: Taking taylor expansion of (* m K) in m 9.926 * [taylor]: Taking taylor expansion of m in m 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify 1 into 1 9.926 * [taylor]: Taking taylor expansion of K in m 9.926 * [backup-simplify]: Simplify K into K 9.926 * [backup-simplify]: Simplify (* 0 K) into 0 9.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.927 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.927 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.927 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 9.927 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.927 * [taylor]: Taking taylor expansion of 1/2 in m 9.927 * [backup-simplify]: Simplify 1/2 into 1/2 9.927 * [taylor]: Taking taylor expansion of (* m K) in m 9.927 * [taylor]: Taking taylor expansion of m in m 9.927 * [backup-simplify]: Simplify 0 into 0 9.927 * [backup-simplify]: Simplify 1 into 1 9.927 * [taylor]: Taking taylor expansion of K in m 9.927 * [backup-simplify]: Simplify K into K 9.927 * [backup-simplify]: Simplify (* 0 K) into 0 9.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.928 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.928 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.928 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 9.928 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.928 * [taylor]: Taking taylor expansion of 1/2 in K 9.928 * [backup-simplify]: Simplify 1/2 into 1/2 9.928 * [taylor]: Taking taylor expansion of (* m K) in K 9.928 * [taylor]: Taking taylor expansion of m in K 9.928 * [backup-simplify]: Simplify m into m 9.928 * [taylor]: Taking taylor expansion of K in K 9.928 * [backup-simplify]: Simplify 0 into 0 9.928 * [backup-simplify]: Simplify 1 into 1 9.928 * [backup-simplify]: Simplify (* m 0) into 0 9.929 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.929 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.929 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.929 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 9.929 * [taylor]: Taking taylor expansion of 0 in K 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [taylor]: Taking taylor expansion of 0 in K 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [taylor]: Taking taylor expansion of 0 in K 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify 0 into 0 9.930 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (sin (* 1/2 (* m K))) 9.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 9.930 * [backup-simplify]: Simplify (cos (* m (/ K 2))) into (cos (* 1/2 (* m K))) 9.930 * [approximate]: Taking taylor expansion of (cos (* 1/2 (* m K))) in (m K) around 0 9.930 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in K 9.930 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 9.930 * [taylor]: Taking taylor expansion of 1/2 in K 9.930 * [backup-simplify]: Simplify 1/2 into 1/2 9.930 * [taylor]: Taking taylor expansion of (* m K) in K 9.930 * [taylor]: Taking taylor expansion of m in K 9.931 * [backup-simplify]: Simplify m into m 9.931 * [taylor]: Taking taylor expansion of K in K 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify 1 into 1 9.931 * [backup-simplify]: Simplify (* m 0) into 0 9.931 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.932 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.932 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 9.932 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 9.932 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 9.932 * [taylor]: Taking taylor expansion of 1/2 in m 9.932 * [backup-simplify]: Simplify 1/2 into 1/2 9.932 * [taylor]: Taking taylor expansion of (* m K) in m 9.932 * [taylor]: Taking taylor expansion of m in m 9.932 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify 1 into 1 9.932 * [taylor]: Taking taylor expansion of K in m 9.932 * [backup-simplify]: Simplify K into K 9.932 * [backup-simplify]: Simplify (* 0 K) into 0 9.933 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.933 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.934 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.934 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 9.934 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 9.934 * [taylor]: Taking taylor expansion of 1/2 in m 9.934 * [backup-simplify]: Simplify 1/2 into 1/2 9.934 * [taylor]: Taking taylor expansion of (* m K) in m 9.934 * [taylor]: Taking taylor expansion of m in m 9.934 * [backup-simplify]: Simplify 0 into 0 9.934 * [backup-simplify]: Simplify 1 into 1 9.934 * [taylor]: Taking taylor expansion of K in m 9.934 * [backup-simplify]: Simplify K into K 9.934 * [backup-simplify]: Simplify (* 0 K) into 0 9.934 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.935 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.935 * [taylor]: Taking taylor expansion of 1 in K 9.935 * [backup-simplify]: Simplify 1 into 1 9.935 * [backup-simplify]: Simplify 1 into 1 9.936 * [backup-simplify]: Simplify (+ 0) into 0 9.936 * [taylor]: Taking taylor expansion of 0 in K 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify 0 into 0 9.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.936 * [taylor]: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K 9.936 * [taylor]: Taking taylor expansion of (* 1/8 (pow K 2)) in K 9.936 * [taylor]: Taking taylor expansion of 1/8 in K 9.936 * [backup-simplify]: Simplify 1/8 into 1/8 9.936 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.936 * [taylor]: Taking taylor expansion of K in K 9.936 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 9.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.939 * [taylor]: Taking taylor expansion of 0 in K 9.939 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify 0 into 0 9.939 * [backup-simplify]: Simplify 1 into 1 9.939 * [backup-simplify]: Simplify (cos (* (/ 1 m) (/ (/ 1 K) 2))) into (cos (/ 1/2 (* m K))) 9.939 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 9.939 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 9.939 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.939 * [taylor]: Taking taylor expansion of 1/2 in K 9.939 * [backup-simplify]: Simplify 1/2 into 1/2 9.939 * [taylor]: Taking taylor expansion of (* m K) in K 9.939 * [taylor]: Taking taylor expansion of m in K 9.939 * [backup-simplify]: Simplify m into m 9.940 * [taylor]: Taking taylor expansion of K in K 9.940 * [backup-simplify]: Simplify 0 into 0 9.940 * [backup-simplify]: Simplify 1 into 1 9.940 * [backup-simplify]: Simplify (* m 0) into 0 9.940 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.940 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.940 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.940 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 9.940 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.940 * [taylor]: Taking taylor expansion of 1/2 in m 9.940 * [backup-simplify]: Simplify 1/2 into 1/2 9.940 * [taylor]: Taking taylor expansion of (* m K) in m 9.940 * [taylor]: Taking taylor expansion of m in m 9.940 * [backup-simplify]: Simplify 0 into 0 9.940 * [backup-simplify]: Simplify 1 into 1 9.940 * [taylor]: Taking taylor expansion of K in m 9.940 * [backup-simplify]: Simplify K into K 9.941 * [backup-simplify]: Simplify (* 0 K) into 0 9.941 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.941 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.941 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.941 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 9.941 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.941 * [taylor]: Taking taylor expansion of 1/2 in m 9.941 * [backup-simplify]: Simplify 1/2 into 1/2 9.941 * [taylor]: Taking taylor expansion of (* m K) in m 9.941 * [taylor]: Taking taylor expansion of m in m 9.941 * [backup-simplify]: Simplify 0 into 0 9.941 * [backup-simplify]: Simplify 1 into 1 9.941 * [taylor]: Taking taylor expansion of K in m 9.941 * [backup-simplify]: Simplify K into K 9.941 * [backup-simplify]: Simplify (* 0 K) into 0 9.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.942 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.942 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.942 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 9.942 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.942 * [taylor]: Taking taylor expansion of 1/2 in K 9.942 * [backup-simplify]: Simplify 1/2 into 1/2 9.942 * [taylor]: Taking taylor expansion of (* m K) in K 9.942 * [taylor]: Taking taylor expansion of m in K 9.942 * [backup-simplify]: Simplify m into m 9.942 * [taylor]: Taking taylor expansion of K in K 9.942 * [backup-simplify]: Simplify 0 into 0 9.942 * [backup-simplify]: Simplify 1 into 1 9.942 * [backup-simplify]: Simplify (* m 0) into 0 9.943 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.943 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.943 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.943 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.943 * [taylor]: Taking taylor expansion of 0 in K 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [taylor]: Taking taylor expansion of 0 in K 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [backup-simplify]: Simplify 0 into 0 9.943 * [taylor]: Taking taylor expansion of 0 in K 9.943 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (cos (* 1/2 (* m K))) 9.944 * [backup-simplify]: Simplify (cos (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (cos (/ 1/2 (* m K))) 9.944 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 9.944 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 9.944 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.944 * [taylor]: Taking taylor expansion of 1/2 in K 9.944 * [backup-simplify]: Simplify 1/2 into 1/2 9.944 * [taylor]: Taking taylor expansion of (* m K) in K 9.944 * [taylor]: Taking taylor expansion of m in K 9.944 * [backup-simplify]: Simplify m into m 9.944 * [taylor]: Taking taylor expansion of K in K 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 1 into 1 9.944 * [backup-simplify]: Simplify (* m 0) into 0 9.945 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.945 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.945 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.945 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 9.945 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.945 * [taylor]: Taking taylor expansion of 1/2 in m 9.945 * [backup-simplify]: Simplify 1/2 into 1/2 9.945 * [taylor]: Taking taylor expansion of (* m K) in m 9.945 * [taylor]: Taking taylor expansion of m in m 9.945 * [backup-simplify]: Simplify 0 into 0 9.945 * [backup-simplify]: Simplify 1 into 1 9.945 * [taylor]: Taking taylor expansion of K in m 9.945 * [backup-simplify]: Simplify K into K 9.945 * [backup-simplify]: Simplify (* 0 K) into 0 9.946 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.946 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.946 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.946 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 9.946 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 9.946 * [taylor]: Taking taylor expansion of 1/2 in m 9.946 * [backup-simplify]: Simplify 1/2 into 1/2 9.946 * [taylor]: Taking taylor expansion of (* m K) in m 9.946 * [taylor]: Taking taylor expansion of m in m 9.946 * [backup-simplify]: Simplify 0 into 0 9.946 * [backup-simplify]: Simplify 1 into 1 9.946 * [taylor]: Taking taylor expansion of K in m 9.946 * [backup-simplify]: Simplify K into K 9.946 * [backup-simplify]: Simplify (* 0 K) into 0 9.946 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 9.946 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 9.947 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.947 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 9.947 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 9.947 * [taylor]: Taking taylor expansion of 1/2 in K 9.947 * [backup-simplify]: Simplify 1/2 into 1/2 9.947 * [taylor]: Taking taylor expansion of (* m K) in K 9.947 * [taylor]: Taking taylor expansion of m in K 9.947 * [backup-simplify]: Simplify m into m 9.947 * [taylor]: Taking taylor expansion of K in K 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.947 * [backup-simplify]: Simplify (* m 0) into 0 9.947 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 9.947 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 9.948 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.948 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 9.948 * [taylor]: Taking taylor expansion of 0 in K 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [taylor]: Taking taylor expansion of 0 in K 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [taylor]: Taking taylor expansion of 0 in K 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify 0 into 0 9.948 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (cos (* 1/2 (* m K))) 9.948 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 9.948 * [backup-simplify]: Simplify (sin (- (* n (/ K 2)) M)) into (sin (- (* 1/2 (* K n)) M)) 9.949 * [approximate]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in (n K M) around 0 9.949 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in M 9.949 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in M 9.949 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 9.949 * [taylor]: Taking taylor expansion of 1/2 in M 9.949 * [backup-simplify]: Simplify 1/2 into 1/2 9.949 * [taylor]: Taking taylor expansion of (* K n) in M 9.949 * [taylor]: Taking taylor expansion of K in M 9.949 * [backup-simplify]: Simplify K into K 9.949 * [taylor]: Taking taylor expansion of n in M 9.949 * [backup-simplify]: Simplify n into n 9.949 * [taylor]: Taking taylor expansion of M in M 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.949 * [backup-simplify]: Simplify (* K n) into (* K n) 9.949 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 9.949 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 9.950 * [backup-simplify]: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) 9.950 * [backup-simplify]: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) 9.950 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in K 9.950 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in K 9.950 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 9.950 * [taylor]: Taking taylor expansion of 1/2 in K 9.950 * [backup-simplify]: Simplify 1/2 into 1/2 9.950 * [taylor]: Taking taylor expansion of (* K n) in K 9.950 * [taylor]: Taking taylor expansion of K in K 9.950 * [backup-simplify]: Simplify 0 into 0 9.950 * [backup-simplify]: Simplify 1 into 1 9.950 * [taylor]: Taking taylor expansion of n in K 9.950 * [backup-simplify]: Simplify n into n 9.950 * [taylor]: Taking taylor expansion of M in K 9.950 * [backup-simplify]: Simplify M into M 9.950 * [backup-simplify]: Simplify (* 0 n) into 0 9.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.951 * [backup-simplify]: Simplify (- M) into (- M) 9.951 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.951 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.951 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.951 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 9.951 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.951 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.951 * [taylor]: Taking taylor expansion of 1/2 in n 9.951 * [backup-simplify]: Simplify 1/2 into 1/2 9.951 * [taylor]: Taking taylor expansion of (* K n) in n 9.951 * [taylor]: Taking taylor expansion of K in n 9.951 * [backup-simplify]: Simplify K into K 9.951 * [taylor]: Taking taylor expansion of n in n 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify 1 into 1 9.951 * [taylor]: Taking taylor expansion of M in n 9.951 * [backup-simplify]: Simplify M into M 9.951 * [backup-simplify]: Simplify (* K 0) into 0 9.952 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.952 * [backup-simplify]: Simplify (- M) into (- M) 9.952 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.952 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.952 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.952 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 9.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 9.952 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 9.952 * [taylor]: Taking taylor expansion of 1/2 in n 9.952 * [backup-simplify]: Simplify 1/2 into 1/2 9.952 * [taylor]: Taking taylor expansion of (* K n) in n 9.952 * [taylor]: Taking taylor expansion of K in n 9.952 * [backup-simplify]: Simplify K into K 9.952 * [taylor]: Taking taylor expansion of n in n 9.952 * [backup-simplify]: Simplify 0 into 0 9.952 * [backup-simplify]: Simplify 1 into 1 9.952 * [taylor]: Taking taylor expansion of M in n 9.952 * [backup-simplify]: Simplify M into M 9.952 * [backup-simplify]: Simplify (* K 0) into 0 9.953 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.953 * [backup-simplify]: Simplify (- M) into (- M) 9.953 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 9.953 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.953 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.953 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.953 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.953 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.953 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.953 * [taylor]: Taking taylor expansion of (- M) in K 9.953 * [taylor]: Taking taylor expansion of M in K 9.953 * [backup-simplify]: Simplify M into M 9.953 * [backup-simplify]: Simplify (- M) into (- M) 9.953 * [backup-simplify]: Simplify (- M) into (- M) 9.953 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.954 * [backup-simplify]: Simplify (- M) into (- M) 9.954 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.954 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 9.954 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 9.954 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 9.954 * [taylor]: Taking taylor expansion of (sin (- M)) in M 9.954 * [taylor]: Taking taylor expansion of (- M) in M 9.954 * [taylor]: Taking taylor expansion of M in M 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.954 * [backup-simplify]: Simplify (- 0) into 0 9.955 * [backup-simplify]: Simplify (- 1) into -1 9.955 * [backup-simplify]: Simplify 0 into 0 9.955 * [backup-simplify]: Simplify (+ 0) into 0 9.956 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.956 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.957 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 9.957 * [backup-simplify]: Simplify (- 0) into 0 9.957 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 9.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 9.958 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 9.958 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 9.958 * [taylor]: Taking taylor expansion of (* 1/2 (* K (cos (- M)))) in K 9.958 * [taylor]: Taking taylor expansion of 1/2 in K 9.958 * [backup-simplify]: Simplify 1/2 into 1/2 9.958 * [taylor]: Taking taylor expansion of (* K (cos (- M))) in K 9.958 * [taylor]: Taking taylor expansion of K in K 9.958 * [backup-simplify]: Simplify 0 into 0 9.958 * [backup-simplify]: Simplify 1 into 1 9.958 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.958 * [taylor]: Taking taylor expansion of (- M) in K 9.958 * [taylor]: Taking taylor expansion of M in K 9.958 * [backup-simplify]: Simplify M into M 9.958 * [backup-simplify]: Simplify (- M) into (- M) 9.958 * [backup-simplify]: Simplify (- M) into (- M) 9.958 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.958 * [backup-simplify]: Simplify (- M) into (- M) 9.958 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.958 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 9.958 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 9.959 * [backup-simplify]: Simplify (- 0) into 0 9.959 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 9.959 * [backup-simplify]: Simplify (* 0 (cos (- M))) into 0 9.959 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.959 * [taylor]: Taking taylor expansion of 0 in M 9.959 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify (+ 0) into 0 9.960 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 9.961 * [backup-simplify]: Simplify (- 0) into 0 9.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.965 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 9.965 * [backup-simplify]: Simplify (+ 0 0) into 0 9.965 * [taylor]: Taking taylor expansion of 0 in M 9.965 * [backup-simplify]: Simplify 0 into 0 9.965 * [backup-simplify]: Simplify 0 into 0 9.966 * [backup-simplify]: Simplify (- 1) into -1 9.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 9.967 * [backup-simplify]: Simplify -1 into -1 9.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 9.968 * [backup-simplify]: Simplify (+ (* (sin (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (sin (- M))))) 9.968 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 9.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 9.970 * [backup-simplify]: Simplify (- 0) into 0 9.970 * [backup-simplify]: Simplify (+ 0 0) into 0 9.971 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.971 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 9.972 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (sin (- M))))) 0) into (- (* 1/8 (* (pow K 2) (sin (- M))))) 9.972 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (sin (- M))))) in K 9.972 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (sin (- M)))) in K 9.972 * [taylor]: Taking taylor expansion of 1/8 in K 9.972 * [backup-simplify]: Simplify 1/8 into 1/8 9.972 * [taylor]: Taking taylor expansion of (* (pow K 2) (sin (- M))) in K 9.972 * [taylor]: Taking taylor expansion of (pow K 2) in K 9.972 * [taylor]: Taking taylor expansion of K in K 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [taylor]: Taking taylor expansion of (sin (- M)) in K 9.972 * [taylor]: Taking taylor expansion of (- M) in K 9.972 * [taylor]: Taking taylor expansion of M in K 9.972 * [backup-simplify]: Simplify M into M 9.972 * [backup-simplify]: Simplify (- M) into (- M) 9.972 * [backup-simplify]: Simplify (- M) into (- M) 9.972 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.972 * [backup-simplify]: Simplify (- M) into (- M) 9.972 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.973 * [backup-simplify]: Simplify (+ 0) into 0 9.973 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 9.974 * [backup-simplify]: Simplify (- 0) into 0 9.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.975 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 9.975 * [backup-simplify]: Simplify (- 0) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (- M)))) into (cos (- M)) 9.976 * [backup-simplify]: Simplify (+ (* 1/2 (cos (- M))) (* 0 0)) into (* 1/2 (cos (- M))) 9.976 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- M))) in M 9.976 * [taylor]: Taking taylor expansion of 1/2 in M 9.976 * [backup-simplify]: Simplify 1/2 into 1/2 9.976 * [taylor]: Taking taylor expansion of (cos (- M)) in M 9.976 * [taylor]: Taking taylor expansion of (- M) in M 9.976 * [taylor]: Taking taylor expansion of M in M 9.976 * [backup-simplify]: Simplify 0 into 0 9.976 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.977 * [backup-simplify]: Simplify (- 1) into -1 9.977 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.977 * [backup-simplify]: Simplify 1/2 into 1/2 9.977 * [backup-simplify]: Simplify (- 0) into 0 9.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.978 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 9.979 * [backup-simplify]: Simplify (- 0) into 0 9.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.979 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 9.980 * [backup-simplify]: Simplify (+ 0 0) into 0 9.980 * [taylor]: Taking taylor expansion of 0 in M 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify 0 into 0 9.980 * [backup-simplify]: Simplify (- 0) into 0 9.980 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.980 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.981 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 9.983 * [backup-simplify]: Simplify (- 0) into 0 9.983 * [backup-simplify]: Simplify (+ 0 0) into 0 9.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 9.984 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/48 (pow K 3)))) (+ (* 0 0) (+ (* 0 (* 1/2 K)) (* 0 0)))) into (- (* 1/48 (* (pow K 3) (cos (- M))))) 9.984 * [backup-simplify]: Simplify (+ 0 (- (* 1/48 (* (pow K 3) (cos (- M)))))) into (- (* 1/48 (* (pow K 3) (cos (- M))))) 9.984 * [taylor]: Taking taylor expansion of (- (* 1/48 (* (pow K 3) (cos (- M))))) in K 9.984 * [taylor]: Taking taylor expansion of (* 1/48 (* (pow K 3) (cos (- M)))) in K 9.984 * [taylor]: Taking taylor expansion of 1/48 in K 9.984 * [backup-simplify]: Simplify 1/48 into 1/48 9.984 * [taylor]: Taking taylor expansion of (* (pow K 3) (cos (- M))) in K 9.985 * [taylor]: Taking taylor expansion of (pow K 3) in K 9.985 * [taylor]: Taking taylor expansion of K in K 9.985 * [backup-simplify]: Simplify 0 into 0 9.985 * [backup-simplify]: Simplify 1 into 1 9.985 * [taylor]: Taking taylor expansion of (cos (- M)) in K 9.985 * [taylor]: Taking taylor expansion of (- M) in K 9.985 * [taylor]: Taking taylor expansion of M in K 9.985 * [backup-simplify]: Simplify M into M 9.985 * [backup-simplify]: Simplify (- M) into (- M) 9.985 * [backup-simplify]: Simplify (- M) into (- M) 9.985 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 9.985 * [backup-simplify]: Simplify (- M) into (- M) 9.985 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 9.985 * [backup-simplify]: Simplify (- 0) into 0 9.986 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.986 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 9.986 * [backup-simplify]: Simplify (- 0) into 0 9.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.987 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 9.988 * [backup-simplify]: Simplify (- 0) into 0 9.988 * [backup-simplify]: Simplify (+ 0 0) into 0 9.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (- M))))) into 0 9.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (cos (- M))) (* 0 0))) into 0 9.989 * [taylor]: Taking taylor expansion of 0 in M 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify 0 into 0 9.989 * [backup-simplify]: Simplify (- 0) into 0 9.989 * [backup-simplify]: Simplify (- 0) into 0 9.990 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.990 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.991 * [backup-simplify]: Simplify (- 0) into 0 9.991 * [backup-simplify]: Simplify (- 0) into 0 9.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.992 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.992 * [backup-simplify]: Simplify (+ 0 0) into 0 9.992 * [taylor]: Taking taylor expansion of 0 in M 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* K n))) (* -1 (* M (* 1 1)))) into (- (* 1/2 (* K n)) M) 9.993 * [backup-simplify]: Simplify (sin (- (* (/ 1 n) (/ (/ 1 K) 2)) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.993 * [approximate]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in (n K M) around 0 9.993 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 9.993 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 9.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.993 * [taylor]: Taking taylor expansion of 1/2 in M 9.993 * [backup-simplify]: Simplify 1/2 into 1/2 9.993 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.993 * [taylor]: Taking taylor expansion of (* K n) in M 9.993 * [taylor]: Taking taylor expansion of K in M 9.993 * [backup-simplify]: Simplify K into K 9.993 * [taylor]: Taking taylor expansion of n in M 9.993 * [backup-simplify]: Simplify n into n 9.993 * [backup-simplify]: Simplify (* K n) into (* K n) 9.993 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.993 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.993 * [taylor]: Taking taylor expansion of M in M 9.993 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (/ 1 1) into 1 9.994 * [backup-simplify]: Simplify (- 1) into -1 9.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.994 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.994 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 9.994 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 9.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.994 * [taylor]: Taking taylor expansion of 1/2 in K 9.994 * [backup-simplify]: Simplify 1/2 into 1/2 9.994 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.994 * [taylor]: Taking taylor expansion of (* K n) in K 9.994 * [taylor]: Taking taylor expansion of K in K 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 1 into 1 9.994 * [taylor]: Taking taylor expansion of n in K 9.994 * [backup-simplify]: Simplify n into n 9.994 * [backup-simplify]: Simplify (* 0 n) into 0 9.995 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.995 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.995 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.995 * [taylor]: Taking taylor expansion of M in K 9.995 * [backup-simplify]: Simplify M into M 9.995 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.995 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.995 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 9.995 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.995 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 9.995 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 9.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.995 * [taylor]: Taking taylor expansion of 1/2 in n 9.995 * [backup-simplify]: Simplify 1/2 into 1/2 9.995 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.995 * [taylor]: Taking taylor expansion of (* K n) in n 9.995 * [taylor]: Taking taylor expansion of K in n 9.995 * [backup-simplify]: Simplify K into K 9.995 * [taylor]: Taking taylor expansion of n in n 9.995 * [backup-simplify]: Simplify 0 into 0 9.995 * [backup-simplify]: Simplify 1 into 1 9.995 * [backup-simplify]: Simplify (* K 0) into 0 9.996 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.996 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.996 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.996 * [taylor]: Taking taylor expansion of M in n 9.996 * [backup-simplify]: Simplify M into M 9.996 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.996 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.996 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.996 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 9.996 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 9.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 9.996 * [taylor]: Taking taylor expansion of 1/2 in n 9.996 * [backup-simplify]: Simplify 1/2 into 1/2 9.996 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 9.996 * [taylor]: Taking taylor expansion of (* K n) in n 9.996 * [taylor]: Taking taylor expansion of K in n 9.996 * [backup-simplify]: Simplify K into K 9.996 * [taylor]: Taking taylor expansion of n in n 9.996 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [backup-simplify]: Simplify (* K 0) into 0 9.997 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 9.997 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 9.997 * [taylor]: Taking taylor expansion of (/ 1 M) in n 9.997 * [taylor]: Taking taylor expansion of M in n 9.997 * [backup-simplify]: Simplify M into M 9.997 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.997 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 9.997 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 9.997 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.997 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 9.997 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 9.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 9.997 * [taylor]: Taking taylor expansion of 1/2 in K 9.997 * [backup-simplify]: Simplify 1/2 into 1/2 9.997 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 9.997 * [taylor]: Taking taylor expansion of (* K n) in K 9.997 * [taylor]: Taking taylor expansion of K in K 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [taylor]: Taking taylor expansion of n in K 9.997 * [backup-simplify]: Simplify n into n 9.997 * [backup-simplify]: Simplify (* 0 n) into 0 9.998 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 9.998 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 9.998 * [taylor]: Taking taylor expansion of (/ 1 M) in K 9.998 * [taylor]: Taking taylor expansion of M in K 9.998 * [backup-simplify]: Simplify M into M 9.998 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 9.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 9.998 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 9.998 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.998 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 9.998 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 9.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 9.998 * [taylor]: Taking taylor expansion of 1/2 in M 9.998 * [backup-simplify]: Simplify 1/2 into 1/2 9.998 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 9.998 * [taylor]: Taking taylor expansion of (* K n) in M 9.998 * [taylor]: Taking taylor expansion of K in M 9.998 * [backup-simplify]: Simplify K into K 9.998 * [taylor]: Taking taylor expansion of n in M 9.998 * [backup-simplify]: Simplify n into n 9.998 * [backup-simplify]: Simplify (* K n) into (* K n) 9.998 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 9.998 * [taylor]: Taking taylor expansion of (/ 1 M) in M 9.998 * [taylor]: Taking taylor expansion of M in M 9.998 * [backup-simplify]: Simplify 0 into 0 9.998 * [backup-simplify]: Simplify 1 into 1 9.999 * [backup-simplify]: Simplify (/ 1 1) into 1 9.999 * [backup-simplify]: Simplify (- 1) into -1 9.999 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.999 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 9.999 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.000 * [taylor]: Taking taylor expansion of 0 in K 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [taylor]: Taking taylor expansion of 0 in M 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [taylor]: Taking taylor expansion of 0 in M 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [taylor]: Taking taylor expansion of 0 in K 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [taylor]: Taking taylor expansion of 0 in M 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [taylor]: Taking taylor expansion of 0 in M 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [taylor]: Taking taylor expansion of 0 in M 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n)))) (/ 1 (/ 1 M)))) into (sin (- (* 1/2 (* K n)) M)) 10.000 * [backup-simplify]: Simplify (sin (- (* (/ 1 (- n)) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.000 * [approximate]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in (n K M) around 0 10.000 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 10.000 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 10.000 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.000 * [taylor]: Taking taylor expansion of M in M 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (/ 1 1) into 1 10.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.001 * [taylor]: Taking taylor expansion of 1/2 in M 10.001 * [backup-simplify]: Simplify 1/2 into 1/2 10.001 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.001 * [taylor]: Taking taylor expansion of (* K n) in M 10.001 * [taylor]: Taking taylor expansion of K in M 10.001 * [backup-simplify]: Simplify K into K 10.001 * [taylor]: Taking taylor expansion of n in M 10.001 * [backup-simplify]: Simplify n into n 10.001 * [backup-simplify]: Simplify (* K n) into (* K n) 10.001 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.001 * [backup-simplify]: Simplify (+ 1 0) into 1 10.001 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.001 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 10.001 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 10.001 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.001 * [taylor]: Taking taylor expansion of M in K 10.001 * [backup-simplify]: Simplify M into M 10.001 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.001 * [taylor]: Taking taylor expansion of 1/2 in K 10.001 * [backup-simplify]: Simplify 1/2 into 1/2 10.001 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.001 * [taylor]: Taking taylor expansion of (* K n) in K 10.001 * [taylor]: Taking taylor expansion of K in K 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.002 * [taylor]: Taking taylor expansion of n in K 10.002 * [backup-simplify]: Simplify n into n 10.002 * [backup-simplify]: Simplify (* 0 n) into 0 10.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.002 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.002 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.002 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 10.002 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.002 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 10.002 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 10.002 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.002 * [taylor]: Taking taylor expansion of M in n 10.002 * [backup-simplify]: Simplify M into M 10.002 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.002 * [taylor]: Taking taylor expansion of 1/2 in n 10.002 * [backup-simplify]: Simplify 1/2 into 1/2 10.002 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.002 * [taylor]: Taking taylor expansion of (* K n) in n 10.002 * [taylor]: Taking taylor expansion of K in n 10.002 * [backup-simplify]: Simplify K into K 10.002 * [taylor]: Taking taylor expansion of n in n 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (* K 0) into 0 10.003 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.003 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.003 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.003 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.003 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.003 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 10.003 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 10.003 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.003 * [taylor]: Taking taylor expansion of M in n 10.003 * [backup-simplify]: Simplify M into M 10.003 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.003 * [taylor]: Taking taylor expansion of 1/2 in n 10.003 * [backup-simplify]: Simplify 1/2 into 1/2 10.003 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.003 * [taylor]: Taking taylor expansion of (* K n) in n 10.003 * [taylor]: Taking taylor expansion of K in n 10.003 * [backup-simplify]: Simplify K into K 10.003 * [taylor]: Taking taylor expansion of n in n 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [backup-simplify]: Simplify (* K 0) into 0 10.003 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.003 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.004 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.004 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.004 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.004 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 10.004 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 10.004 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.004 * [taylor]: Taking taylor expansion of M in K 10.004 * [backup-simplify]: Simplify M into M 10.004 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.004 * [taylor]: Taking taylor expansion of 1/2 in K 10.004 * [backup-simplify]: Simplify 1/2 into 1/2 10.004 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.004 * [taylor]: Taking taylor expansion of (* K n) in K 10.004 * [taylor]: Taking taylor expansion of K in K 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 1 into 1 10.004 * [taylor]: Taking taylor expansion of n in K 10.004 * [backup-simplify]: Simplify n into n 10.004 * [backup-simplify]: Simplify (* 0 n) into 0 10.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.005 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.005 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.005 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 10.005 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.005 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 10.005 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 10.005 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.005 * [taylor]: Taking taylor expansion of M in M 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.006 * [backup-simplify]: Simplify (/ 1 1) into 1 10.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.006 * [taylor]: Taking taylor expansion of 1/2 in M 10.006 * [backup-simplify]: Simplify 1/2 into 1/2 10.006 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.006 * [taylor]: Taking taylor expansion of (* K n) in M 10.006 * [taylor]: Taking taylor expansion of K in M 10.006 * [backup-simplify]: Simplify K into K 10.006 * [taylor]: Taking taylor expansion of n in M 10.006 * [backup-simplify]: Simplify n into n 10.006 * [backup-simplify]: Simplify (* K n) into (* K n) 10.006 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.007 * [backup-simplify]: Simplify (+ 1 0) into 1 10.007 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.007 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.007 * [taylor]: Taking taylor expansion of 0 in K 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [taylor]: Taking taylor expansion of 0 in M 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [taylor]: Taking taylor expansion of 0 in M 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [taylor]: Taking taylor expansion of 0 in K 10.007 * [backup-simplify]: Simplify 0 into 0 10.008 * [taylor]: Taking taylor expansion of 0 in M 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [taylor]: Taking taylor expansion of 0 in M 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [taylor]: Taking taylor expansion of 0 in M 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify (sin (+ (/ 1 (/ 1 (- M))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n))))))) into (sin (- (* 1/2 (* K n)) M)) 10.008 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 10.008 * [backup-simplify]: Simplify (cos (- (* n (/ K 2)) M)) into (cos (- (* 1/2 (* K n)) M)) 10.008 * [approximate]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in (n K M) around 0 10.008 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in M 10.009 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in M 10.009 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 10.009 * [taylor]: Taking taylor expansion of 1/2 in M 10.009 * [backup-simplify]: Simplify 1/2 into 1/2 10.009 * [taylor]: Taking taylor expansion of (* K n) in M 10.009 * [taylor]: Taking taylor expansion of K in M 10.009 * [backup-simplify]: Simplify K into K 10.009 * [taylor]: Taking taylor expansion of n in M 10.009 * [backup-simplify]: Simplify n into n 10.009 * [taylor]: Taking taylor expansion of M in M 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.009 * [backup-simplify]: Simplify (* K n) into (* K n) 10.009 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 10.009 * [backup-simplify]: Simplify (- 0) into 0 10.010 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 10.010 * [backup-simplify]: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) 10.010 * [backup-simplify]: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) 10.010 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in K 10.010 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in K 10.010 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 10.010 * [taylor]: Taking taylor expansion of 1/2 in K 10.010 * [backup-simplify]: Simplify 1/2 into 1/2 10.010 * [taylor]: Taking taylor expansion of (* K n) in K 10.010 * [taylor]: Taking taylor expansion of K in K 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 1 into 1 10.010 * [taylor]: Taking taylor expansion of n in K 10.010 * [backup-simplify]: Simplify n into n 10.010 * [taylor]: Taking taylor expansion of M in K 10.010 * [backup-simplify]: Simplify M into M 10.010 * [backup-simplify]: Simplify (* 0 n) into 0 10.011 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.011 * [backup-simplify]: Simplify (- M) into (- M) 10.011 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.011 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.011 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.011 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 10.011 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 10.011 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 10.011 * [taylor]: Taking taylor expansion of 1/2 in n 10.011 * [backup-simplify]: Simplify 1/2 into 1/2 10.011 * [taylor]: Taking taylor expansion of (* K n) in n 10.011 * [taylor]: Taking taylor expansion of K in n 10.011 * [backup-simplify]: Simplify K into K 10.011 * [taylor]: Taking taylor expansion of n in n 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.011 * [taylor]: Taking taylor expansion of M in n 10.011 * [backup-simplify]: Simplify M into M 10.011 * [backup-simplify]: Simplify (* K 0) into 0 10.012 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.012 * [backup-simplify]: Simplify (- M) into (- M) 10.012 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.012 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.012 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.012 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 10.012 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 10.012 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 10.012 * [taylor]: Taking taylor expansion of 1/2 in n 10.012 * [backup-simplify]: Simplify 1/2 into 1/2 10.012 * [taylor]: Taking taylor expansion of (* K n) in n 10.012 * [taylor]: Taking taylor expansion of K in n 10.012 * [backup-simplify]: Simplify K into K 10.012 * [taylor]: Taking taylor expansion of n in n 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 1 into 1 10.012 * [taylor]: Taking taylor expansion of M in n 10.012 * [backup-simplify]: Simplify M into M 10.013 * [backup-simplify]: Simplify (* K 0) into 0 10.013 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.013 * [backup-simplify]: Simplify (- M) into (- M) 10.013 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.013 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.013 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.013 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 10.013 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 10.014 * [backup-simplify]: Simplify (- 0) into 0 10.014 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 10.014 * [taylor]: Taking taylor expansion of (cos (- M)) in K 10.014 * [taylor]: Taking taylor expansion of (- M) in K 10.014 * [taylor]: Taking taylor expansion of M in K 10.014 * [backup-simplify]: Simplify M into M 10.014 * [backup-simplify]: Simplify (- M) into (- M) 10.014 * [backup-simplify]: Simplify (- M) into (- M) 10.014 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.014 * [backup-simplify]: Simplify (- M) into (- M) 10.014 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.014 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 10.015 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 10.015 * [backup-simplify]: Simplify (- 0) into 0 10.015 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 10.015 * [taylor]: Taking taylor expansion of (cos (- M)) in M 10.015 * [taylor]: Taking taylor expansion of (- M) in M 10.015 * [taylor]: Taking taylor expansion of M in M 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (- 0) into 0 10.016 * [backup-simplify]: Simplify (- 1) into -1 10.016 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (+ 0) into 0 10.017 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 10.017 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.018 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 10.018 * [backup-simplify]: Simplify (- 0) into 0 10.018 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 10.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 10.019 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 10.019 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 10.019 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 10.019 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 10.019 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 10.019 * [taylor]: Taking taylor expansion of 1/2 in K 10.019 * [backup-simplify]: Simplify 1/2 into 1/2 10.019 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 10.019 * [taylor]: Taking taylor expansion of K in K 10.019 * [backup-simplify]: Simplify 0 into 0 10.019 * [backup-simplify]: Simplify 1 into 1 10.019 * [taylor]: Taking taylor expansion of (sin (- M)) in K 10.020 * [taylor]: Taking taylor expansion of (- M) in K 10.020 * [taylor]: Taking taylor expansion of M in K 10.020 * [backup-simplify]: Simplify M into M 10.020 * [backup-simplify]: Simplify (- M) into (- M) 10.020 * [backup-simplify]: Simplify (- M) into (- M) 10.020 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.020 * [backup-simplify]: Simplify (- M) into (- M) 10.020 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.020 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 10.020 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 10.020 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 10.020 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 10.020 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.021 * [backup-simplify]: Simplify (- 0) into 0 10.021 * [taylor]: Taking taylor expansion of 0 in M 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify (+ 0) into 0 10.021 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 10.021 * [backup-simplify]: Simplify (- 0) into 0 10.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.022 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 10.022 * [backup-simplify]: Simplify (- 0) into 0 10.023 * [backup-simplify]: Simplify (+ 0 0) into 0 10.023 * [taylor]: Taking taylor expansion of 0 in M 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify (+ 0) into 0 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 10.024 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 10.024 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 10.025 * [backup-simplify]: Simplify (- 0) into 0 10.025 * [backup-simplify]: Simplify (+ 0 0) into 0 10.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.026 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 10.026 * [backup-simplify]: Simplify (- 0) into 0 10.026 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 10.026 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 10.026 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 10.026 * [taylor]: Taking taylor expansion of 1/8 in K 10.026 * [backup-simplify]: Simplify 1/8 into 1/8 10.026 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 10.026 * [taylor]: Taking taylor expansion of (pow K 2) in K 10.026 * [taylor]: Taking taylor expansion of K in K 10.026 * [backup-simplify]: Simplify 0 into 0 10.026 * [backup-simplify]: Simplify 1 into 1 10.026 * [taylor]: Taking taylor expansion of (cos (- M)) in K 10.026 * [taylor]: Taking taylor expansion of (- M) in K 10.026 * [taylor]: Taking taylor expansion of M in K 10.026 * [backup-simplify]: Simplify M into M 10.026 * [backup-simplify]: Simplify (- M) into (- M) 10.026 * [backup-simplify]: Simplify (- M) into (- M) 10.026 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.027 * [backup-simplify]: Simplify (- M) into (- M) 10.027 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.027 * [backup-simplify]: Simplify (+ 0) into 0 10.027 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 10.027 * [backup-simplify]: Simplify (- 0) into 0 10.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.028 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 10.028 * [backup-simplify]: Simplify (+ 0 0) into 0 10.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 10.029 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 10.029 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 10.029 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 10.029 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 10.029 * [taylor]: Taking taylor expansion of 1/2 in M 10.029 * [backup-simplify]: Simplify 1/2 into 1/2 10.029 * [taylor]: Taking taylor expansion of (sin (- M)) in M 10.029 * [taylor]: Taking taylor expansion of (- M) in M 10.029 * [taylor]: Taking taylor expansion of M in M 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.029 * [backup-simplify]: Simplify (- 0) into 0 10.030 * [backup-simplify]: Simplify (- 1) into -1 10.030 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.030 * [backup-simplify]: Simplify (- 0) into 0 10.030 * [backup-simplify]: Simplify 0 into 0 10.030 * [backup-simplify]: Simplify (- 0) into 0 10.031 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 10.031 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 10.032 * [backup-simplify]: Simplify (- 0) into 0 10.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.032 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 10.033 * [backup-simplify]: Simplify (- 0) into 0 10.033 * [backup-simplify]: Simplify (+ 0 0) into 0 10.033 * [taylor]: Taking taylor expansion of 0 in M 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.033 * [backup-simplify]: Simplify (cos (- (* (/ 1 n) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.033 * [approximate]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in (n K M) around 0 10.033 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 10.033 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 10.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.033 * [taylor]: Taking taylor expansion of 1/2 in M 10.033 * [backup-simplify]: Simplify 1/2 into 1/2 10.033 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.033 * [taylor]: Taking taylor expansion of (* K n) in M 10.033 * [taylor]: Taking taylor expansion of K in M 10.033 * [backup-simplify]: Simplify K into K 10.033 * [taylor]: Taking taylor expansion of n in M 10.033 * [backup-simplify]: Simplify n into n 10.033 * [backup-simplify]: Simplify (* K n) into (* K n) 10.033 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.033 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.033 * [taylor]: Taking taylor expansion of M in M 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.034 * [backup-simplify]: Simplify (/ 1 1) into 1 10.034 * [backup-simplify]: Simplify (- 1) into -1 10.034 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.034 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.034 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 10.034 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 10.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.034 * [taylor]: Taking taylor expansion of 1/2 in K 10.034 * [backup-simplify]: Simplify 1/2 into 1/2 10.034 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.034 * [taylor]: Taking taylor expansion of (* K n) in K 10.034 * [taylor]: Taking taylor expansion of K in K 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.034 * [taylor]: Taking taylor expansion of n in K 10.034 * [backup-simplify]: Simplify n into n 10.035 * [backup-simplify]: Simplify (* 0 n) into 0 10.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.035 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.035 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.035 * [taylor]: Taking taylor expansion of M in K 10.035 * [backup-simplify]: Simplify M into M 10.035 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.035 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.035 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 10.035 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.035 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 10.035 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 10.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.035 * [taylor]: Taking taylor expansion of 1/2 in n 10.035 * [backup-simplify]: Simplify 1/2 into 1/2 10.035 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.035 * [taylor]: Taking taylor expansion of (* K n) in n 10.035 * [taylor]: Taking taylor expansion of K in n 10.035 * [backup-simplify]: Simplify K into K 10.035 * [taylor]: Taking taylor expansion of n in n 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (* K 0) into 0 10.036 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.036 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.036 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.036 * [taylor]: Taking taylor expansion of M in n 10.036 * [backup-simplify]: Simplify M into M 10.036 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.036 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.036 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 10.036 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.036 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 10.036 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 10.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.036 * [taylor]: Taking taylor expansion of 1/2 in n 10.036 * [backup-simplify]: Simplify 1/2 into 1/2 10.036 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.036 * [taylor]: Taking taylor expansion of (* K n) in n 10.036 * [taylor]: Taking taylor expansion of K in n 10.036 * [backup-simplify]: Simplify K into K 10.036 * [taylor]: Taking taylor expansion of n in n 10.036 * [backup-simplify]: Simplify 0 into 0 10.036 * [backup-simplify]: Simplify 1 into 1 10.036 * [backup-simplify]: Simplify (* K 0) into 0 10.037 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.037 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.037 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.037 * [taylor]: Taking taylor expansion of M in n 10.037 * [backup-simplify]: Simplify M into M 10.037 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.037 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.037 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 10.037 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.037 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 10.037 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 10.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.037 * [taylor]: Taking taylor expansion of 1/2 in K 10.037 * [backup-simplify]: Simplify 1/2 into 1/2 10.037 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.037 * [taylor]: Taking taylor expansion of (* K n) in K 10.037 * [taylor]: Taking taylor expansion of K in K 10.037 * [backup-simplify]: Simplify 0 into 0 10.037 * [backup-simplify]: Simplify 1 into 1 10.037 * [taylor]: Taking taylor expansion of n in K 10.037 * [backup-simplify]: Simplify n into n 10.037 * [backup-simplify]: Simplify (* 0 n) into 0 10.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.038 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.038 * [taylor]: Taking taylor expansion of M in K 10.038 * [backup-simplify]: Simplify M into M 10.038 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.038 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.038 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 10.038 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.038 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 10.038 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 10.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.038 * [taylor]: Taking taylor expansion of 1/2 in M 10.038 * [backup-simplify]: Simplify 1/2 into 1/2 10.038 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.038 * [taylor]: Taking taylor expansion of (* K n) in M 10.038 * [taylor]: Taking taylor expansion of K in M 10.038 * [backup-simplify]: Simplify K into K 10.038 * [taylor]: Taking taylor expansion of n in M 10.038 * [backup-simplify]: Simplify n into n 10.038 * [backup-simplify]: Simplify (* K n) into (* K n) 10.038 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.038 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.038 * [taylor]: Taking taylor expansion of M in M 10.038 * [backup-simplify]: Simplify 0 into 0 10.038 * [backup-simplify]: Simplify 1 into 1 10.039 * [backup-simplify]: Simplify (/ 1 1) into 1 10.039 * [backup-simplify]: Simplify (- 1) into -1 10.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.039 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.039 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 10.039 * [taylor]: Taking taylor expansion of 0 in K 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [taylor]: Taking taylor expansion of 0 in M 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [taylor]: Taking taylor expansion of 0 in M 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [taylor]: Taking taylor expansion of 0 in K 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [taylor]: Taking taylor expansion of 0 in M 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [taylor]: Taking taylor expansion of 0 in M 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [taylor]: Taking taylor expansion of 0 in M 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n)))) (/ 1 (/ 1 M)))) into (cos (- (* 1/2 (* K n)) M)) 10.040 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- n)) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.040 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in (n K M) around 0 10.040 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 10.040 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 10.040 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.040 * [taylor]: Taking taylor expansion of M in M 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.040 * [taylor]: Taking taylor expansion of 1/2 in M 10.040 * [backup-simplify]: Simplify 1/2 into 1/2 10.040 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.040 * [taylor]: Taking taylor expansion of (* K n) in M 10.041 * [taylor]: Taking taylor expansion of K in M 10.041 * [backup-simplify]: Simplify K into K 10.041 * [taylor]: Taking taylor expansion of n in M 10.041 * [backup-simplify]: Simplify n into n 10.041 * [backup-simplify]: Simplify (* K n) into (* K n) 10.041 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.041 * [backup-simplify]: Simplify (+ 1 0) into 1 10.041 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.041 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 10.041 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 10.041 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.041 * [taylor]: Taking taylor expansion of M in K 10.041 * [backup-simplify]: Simplify M into M 10.041 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.041 * [taylor]: Taking taylor expansion of 1/2 in K 10.041 * [backup-simplify]: Simplify 1/2 into 1/2 10.041 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.041 * [taylor]: Taking taylor expansion of (* K n) in K 10.041 * [taylor]: Taking taylor expansion of K in K 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 1 into 1 10.041 * [taylor]: Taking taylor expansion of n in K 10.041 * [backup-simplify]: Simplify n into n 10.041 * [backup-simplify]: Simplify (* 0 n) into 0 10.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.042 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.042 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.042 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 10.042 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.042 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 10.042 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 10.042 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.042 * [taylor]: Taking taylor expansion of M in n 10.042 * [backup-simplify]: Simplify M into M 10.042 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.042 * [taylor]: Taking taylor expansion of 1/2 in n 10.042 * [backup-simplify]: Simplify 1/2 into 1/2 10.042 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.042 * [taylor]: Taking taylor expansion of (* K n) in n 10.042 * [taylor]: Taking taylor expansion of K in n 10.042 * [backup-simplify]: Simplify K into K 10.042 * [taylor]: Taking taylor expansion of n in n 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* K 0) into 0 10.042 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.042 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.043 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.043 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.043 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.043 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 10.043 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 10.043 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.043 * [taylor]: Taking taylor expansion of M in n 10.043 * [backup-simplify]: Simplify M into M 10.043 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.043 * [taylor]: Taking taylor expansion of 1/2 in n 10.043 * [backup-simplify]: Simplify 1/2 into 1/2 10.043 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.043 * [taylor]: Taking taylor expansion of (* K n) in n 10.043 * [taylor]: Taking taylor expansion of K in n 10.043 * [backup-simplify]: Simplify K into K 10.043 * [taylor]: Taking taylor expansion of n in n 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify (* K 0) into 0 10.043 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.043 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.043 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.043 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.043 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.044 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 10.044 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 10.044 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.044 * [taylor]: Taking taylor expansion of M in K 10.044 * [backup-simplify]: Simplify M into M 10.044 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.044 * [taylor]: Taking taylor expansion of 1/2 in K 10.044 * [backup-simplify]: Simplify 1/2 into 1/2 10.044 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.044 * [taylor]: Taking taylor expansion of (* K n) in K 10.044 * [taylor]: Taking taylor expansion of K in K 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [taylor]: Taking taylor expansion of n in K 10.044 * [backup-simplify]: Simplify n into n 10.044 * [backup-simplify]: Simplify (* 0 n) into 0 10.044 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.044 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.044 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 10.044 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.044 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 10.044 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 10.044 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.044 * [taylor]: Taking taylor expansion of M in M 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 1 into 1 10.045 * [backup-simplify]: Simplify (/ 1 1) into 1 10.045 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.045 * [taylor]: Taking taylor expansion of 1/2 in M 10.045 * [backup-simplify]: Simplify 1/2 into 1/2 10.045 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.045 * [taylor]: Taking taylor expansion of (* K n) in M 10.045 * [taylor]: Taking taylor expansion of K in M 10.045 * [backup-simplify]: Simplify K into K 10.045 * [taylor]: Taking taylor expansion of n in M 10.045 * [backup-simplify]: Simplify n into n 10.045 * [backup-simplify]: Simplify (* K n) into (* K n) 10.045 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.045 * [backup-simplify]: Simplify (+ 1 0) into 1 10.045 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.045 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 10.046 * [taylor]: Taking taylor expansion of 0 in K 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 0 in M 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 0 in M 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 0 in K 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 0 in M 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 0 in M 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [taylor]: Taking taylor expansion of 0 in M 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n))))))) into (cos (- (* 1/2 (* K n)) M)) 10.046 * * * [progress]: simplifying candidates 10.046 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 10.046 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 10.046 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 10.046 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 10.046 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 10.046 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 10.047 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #real (real->posit16 (cos (* m (/ K 2))))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 10.047 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 10.047 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 10.047 * [simplify]: Simplifying (* (sin (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 10.048 * * [simplify]: iters left: 6 (15 enodes) 10.052 * * [simplify]: iters left: 5 (55 enodes) 10.065 * * [simplify]: iters left: 4 (70 enodes) 10.089 * * [simplify]: iters left: 3 (82 enodes) 10.110 * * [simplify]: iters left: 2 (86 enodes) 10.124 * * [simplify]: iters left: 1 (90 enodes) 10.135 * * [simplify]: Extracting #0: cost 1 inf + 0 10.135 * * [simplify]: Extracting #1: cost 4 inf + 0 10.135 * * [simplify]: Extracting #2: cost 8 inf + 0 10.135 * * [simplify]: Extracting #3: cost 19 inf + 0 10.136 * * [simplify]: Extracting #4: cost 29 inf + 83 10.136 * * [simplify]: Extracting #5: cost 19 inf + 1240 10.136 * * [simplify]: Extracting #6: cost 7 inf + 2124 10.137 * * [simplify]: Extracting #7: cost 1 inf + 3064 10.138 * * [simplify]: Extracting #8: cost 0 inf + 3428 10.138 * [simplify]: Simplified to (* (sin (- (* (/ K 2) n) M)) (cos (+ (- M) M))) 10.138 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (sin (- (* (/ K 2) n) M)) (cos (+ (- M) M))) (* (cos (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M))))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.139 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 10.139 * [simplify]: Simplifying (* (sin (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 10.139 * * [simplify]: iters left: 6 (14 enodes) 10.144 * * [simplify]: iters left: 5 (45 enodes) 10.155 * * [simplify]: iters left: 4 (55 enodes) 10.163 * * [simplify]: iters left: 3 (65 enodes) 10.171 * * [simplify]: iters left: 2 (70 enodes) 10.180 * * [simplify]: iters left: 1 (75 enodes) 10.199 * * [simplify]: Extracting #0: cost 1 inf + 0 10.199 * * [simplify]: Extracting #1: cost 4 inf + 0 10.199 * * [simplify]: Extracting #2: cost 5 inf + 1 10.199 * * [simplify]: Extracting #3: cost 13 inf + 1 10.199 * * [simplify]: Extracting #4: cost 20 inf + 85 10.199 * * [simplify]: Extracting #5: cost 15 inf + 457 10.200 * * [simplify]: Extracting #6: cost 3 inf + 1450 10.200 * * [simplify]: Extracting #7: cost 0 inf + 1983 10.201 * [simplify]: Simplified to (* (sin (- (/ n (/ 2 K)) M)) 1) 10.201 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (sin (- (/ n (/ 2 K)) M)) 1) (* (cos (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M)))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.201 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 10.201 * [simplify]: Simplifying (* (sin (fma n (/ K 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 10.201 * * [simplify]: iters left: 6 (14 enodes) 10.205 * * [simplify]: iters left: 5 (45 enodes) 10.212 * * [simplify]: iters left: 4 (59 enodes) 10.221 * * [simplify]: iters left: 3 (70 enodes) 10.232 * * [simplify]: iters left: 2 (76 enodes) 10.246 * * [simplify]: iters left: 1 (80 enodes) 10.255 * * [simplify]: Extracting #0: cost 1 inf + 0 10.256 * * [simplify]: Extracting #1: cost 4 inf + 0 10.256 * * [simplify]: Extracting #2: cost 8 inf + 0 10.256 * * [simplify]: Extracting #3: cost 16 inf + 0 10.256 * * [simplify]: Extracting #4: cost 20 inf + 125 10.256 * * [simplify]: Extracting #5: cost 16 inf + 516 10.256 * * [simplify]: Extracting #6: cost 4 inf + 1788 10.257 * * [simplify]: Extracting #7: cost 0 inf + 2461 10.257 * [simplify]: Simplified to (* (sin (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) 10.257 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (sin (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) (* (cos (fma n (/ K 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.257 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 10.258 * [simplify]: Simplifying (* (sin (* n (/ K 2))) (cos (- M))) 10.258 * * [simplify]: iters left: 6 (10 enodes) 10.261 * * [simplify]: iters left: 5 (35 enodes) 10.266 * * [simplify]: iters left: 4 (41 enodes) 10.272 * * [simplify]: iters left: 3 (45 enodes) 10.284 * * [simplify]: iters left: 2 (49 enodes) 10.293 * * [simplify]: iters left: 1 (52 enodes) 10.300 * * [simplify]: Extracting #0: cost 1 inf + 0 10.300 * * [simplify]: Extracting #1: cost 4 inf + 0 10.300 * * [simplify]: Extracting #2: cost 9 inf + 0 10.300 * * [simplify]: Extracting #3: cost 15 inf + 164 10.300 * * [simplify]: Extracting #4: cost 14 inf + 292 10.300 * * [simplify]: Extracting #5: cost 4 inf + 1056 10.301 * * [simplify]: Extracting #6: cost 0 inf + 1568 10.301 * [simplify]: Simplified to (* (cos M) (sin (* (/ K 2) n))) 10.301 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (cos M) (sin (* (/ K 2) n))) (* (cos (* n (/ K 2))) (sin (- M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.301 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 10.301 * [simplify]: Simplifying (* (sin (* n (/ K 2))) (cos (- M))) 10.302 * * [simplify]: iters left: 6 (10 enodes) 10.304 * * [simplify]: iters left: 5 (35 enodes) 10.310 * * [simplify]: iters left: 4 (41 enodes) 10.315 * * [simplify]: iters left: 3 (45 enodes) 10.327 * * [simplify]: iters left: 2 (49 enodes) 10.340 * * [simplify]: iters left: 1 (52 enodes) 10.355 * * [simplify]: Extracting #0: cost 1 inf + 0 10.355 * * [simplify]: Extracting #1: cost 4 inf + 0 10.355 * * [simplify]: Extracting #2: cost 9 inf + 0 10.355 * * [simplify]: Extracting #3: cost 15 inf + 164 10.355 * * [simplify]: Extracting #4: cost 14 inf + 292 10.356 * * [simplify]: Extracting #5: cost 4 inf + 1056 10.356 * * [simplify]: Extracting #6: cost 0 inf + 1568 10.357 * [simplify]: Simplified to (* (cos M) (sin (* (/ K 2) n))) 10.357 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (cos M) (sin (* (/ K 2) n))) (* (cos (* n (/ K 2))) (sin (- M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.357 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 10.358 * [simplify]: Simplifying (* (sin (* n (/ K 2))) (cos M)) 10.358 * * [simplify]: iters left: 6 (9 enodes) 10.363 * * [simplify]: iters left: 5 (31 enodes) 10.372 * * [simplify]: iters left: 4 (37 enodes) 10.377 * * [simplify]: iters left: 3 (41 enodes) 10.383 * * [simplify]: iters left: 2 (45 enodes) 10.389 * * [simplify]: iters left: 1 (48 enodes) 10.397 * * [simplify]: Extracting #0: cost 1 inf + 0 10.398 * * [simplify]: Extracting #1: cost 4 inf + 0 10.398 * * [simplify]: Extracting #2: cost 8 inf + 0 10.398 * * [simplify]: Extracting #3: cost 14 inf + 123 10.398 * * [simplify]: Extracting #4: cost 15 inf + 168 10.398 * * [simplify]: Extracting #5: cost 4 inf + 772 10.398 * * [simplify]: Extracting #6: cost 0 inf + 1486 10.399 * [simplify]: Simplified to (* (cos M) (sin (* (/ K 2) n))) 10.399 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (- (* (cos M) (sin (* (/ K 2) n))) (* (cos (* n (/ K 2))) (sin M))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.399 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #real (real->posit16 (sin (- (* n (/ K 2)) M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 10.399 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 10.399 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 10.399 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 10.400 * * [simplify]: iters left: 6 (15 enodes) 10.403 * * [simplify]: iters left: 5 (55 enodes) 10.420 * * [simplify]: iters left: 4 (70 enodes) 10.439 * * [simplify]: iters left: 3 (82 enodes) 10.455 * * [simplify]: iters left: 2 (86 enodes) 10.466 * * [simplify]: iters left: 1 (90 enodes) 10.477 * * [simplify]: Extracting #0: cost 1 inf + 0 10.477 * * [simplify]: Extracting #1: cost 4 inf + 0 10.477 * * [simplify]: Extracting #2: cost 8 inf + 0 10.477 * * [simplify]: Extracting #3: cost 19 inf + 0 10.477 * * [simplify]: Extracting #4: cost 29 inf + 83 10.478 * * [simplify]: Extracting #5: cost 19 inf + 1240 10.478 * * [simplify]: Extracting #6: cost 7 inf + 2124 10.479 * * [simplify]: Extracting #7: cost 1 inf + 3064 10.479 * * [simplify]: Extracting #8: cost 0 inf + 3428 10.480 * [simplify]: Simplified to (* (cos (- (* (/ K 2) n) M)) (cos (+ (- M) M))) 10.480 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (* (/ K 2) n) M)) (cos (+ (- M) M))) (* (sin (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.481 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 10.481 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 10.481 * * [simplify]: iters left: 6 (14 enodes) 10.488 * * [simplify]: iters left: 5 (45 enodes) 10.501 * * [simplify]: iters left: 4 (55 enodes) 10.515 * * [simplify]: iters left: 3 (65 enodes) 10.523 * * [simplify]: iters left: 2 (70 enodes) 10.532 * * [simplify]: iters left: 1 (75 enodes) 10.544 * * [simplify]: Extracting #0: cost 1 inf + 0 10.544 * * [simplify]: Extracting #1: cost 4 inf + 0 10.544 * * [simplify]: Extracting #2: cost 5 inf + 1 10.544 * * [simplify]: Extracting #3: cost 13 inf + 1 10.544 * * [simplify]: Extracting #4: cost 20 inf + 85 10.545 * * [simplify]: Extracting #5: cost 15 inf + 457 10.545 * * [simplify]: Extracting #6: cost 3 inf + 1450 10.546 * * [simplify]: Extracting #7: cost 0 inf + 1983 10.547 * [simplify]: Simplified to (* (cos (- (/ n (/ 2 K)) M)) 1) 10.547 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (/ n (/ 2 K)) M)) 1) (* (sin (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.548 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 10.548 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 10.548 * * [simplify]: iters left: 6 (14 enodes) 10.555 * * [simplify]: iters left: 5 (45 enodes) 10.569 * * [simplify]: iters left: 4 (59 enodes) 10.587 * * [simplify]: iters left: 3 (70 enodes) 10.604 * * [simplify]: iters left: 2 (76 enodes) 10.623 * * [simplify]: iters left: 1 (80 enodes) 10.644 * * [simplify]: Extracting #0: cost 1 inf + 0 10.644 * * [simplify]: Extracting #1: cost 4 inf + 0 10.644 * * [simplify]: Extracting #2: cost 8 inf + 0 10.644 * * [simplify]: Extracting #3: cost 16 inf + 0 10.644 * * [simplify]: Extracting #4: cost 20 inf + 125 10.644 * * [simplify]: Extracting #5: cost 16 inf + 516 10.645 * * [simplify]: Extracting #6: cost 4 inf + 1788 10.646 * * [simplify]: Extracting #7: cost 0 inf + 2461 10.647 * [simplify]: Simplified to (* (cos (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) 10.647 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) (* (sin (fma n (/ K 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.648 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 10.648 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos (- M))) 10.648 * * [simplify]: iters left: 6 (10 enodes) 10.653 * * [simplify]: iters left: 5 (35 enodes) 10.664 * * [simplify]: iters left: 4 (41 enodes) 10.675 * * [simplify]: iters left: 3 (45 enodes) 10.683 * * [simplify]: iters left: 2 (49 enodes) 10.690 * * [simplify]: iters left: 1 (52 enodes) 10.698 * * [simplify]: Extracting #0: cost 1 inf + 0 10.698 * * [simplify]: Extracting #1: cost 4 inf + 0 10.698 * * [simplify]: Extracting #2: cost 9 inf + 0 10.698 * * [simplify]: Extracting #3: cost 15 inf + 164 10.698 * * [simplify]: Extracting #4: cost 14 inf + 292 10.698 * * [simplify]: Extracting #5: cost 4 inf + 1056 10.698 * * [simplify]: Extracting #6: cost 0 inf + 1568 10.699 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 10.699 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin (- M))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.699 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 10.699 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos (- M))) 10.699 * * [simplify]: iters left: 6 (10 enodes) 10.702 * * [simplify]: iters left: 5 (35 enodes) 10.711 * * [simplify]: iters left: 4 (41 enodes) 10.722 * * [simplify]: iters left: 3 (45 enodes) 10.735 * * [simplify]: iters left: 2 (49 enodes) 10.742 * * [simplify]: iters left: 1 (52 enodes) 10.750 * * [simplify]: Extracting #0: cost 1 inf + 0 10.750 * * [simplify]: Extracting #1: cost 4 inf + 0 10.750 * * [simplify]: Extracting #2: cost 9 inf + 0 10.750 * * [simplify]: Extracting #3: cost 15 inf + 164 10.750 * * [simplify]: Extracting #4: cost 14 inf + 292 10.750 * * [simplify]: Extracting #5: cost 4 inf + 1056 10.750 * * [simplify]: Extracting #6: cost 0 inf + 1568 10.751 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 10.751 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin (- M))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.751 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 10.753 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos M)) 10.753 * * [simplify]: iters left: 6 (9 enodes) 10.755 * * [simplify]: iters left: 5 (31 enodes) 10.760 * * [simplify]: iters left: 4 (37 enodes) 10.771 * * [simplify]: iters left: 3 (41 enodes) 10.783 * * [simplify]: iters left: 2 (45 enodes) 10.796 * * [simplify]: iters left: 1 (48 enodes) 10.810 * * [simplify]: Extracting #0: cost 1 inf + 0 10.810 * * [simplify]: Extracting #1: cost 4 inf + 0 10.810 * * [simplify]: Extracting #2: cost 8 inf + 0 10.810 * * [simplify]: Extracting #3: cost 14 inf + 123 10.810 * * [simplify]: Extracting #4: cost 15 inf + 168 10.811 * * [simplify]: Extracting #5: cost 4 inf + 772 10.811 * * [simplify]: Extracting #6: cost 0 inf + 1486 10.812 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 10.812 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.812 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 10.812 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 10.812 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 10.812 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 10.812 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 10.813 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 10.813 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 10.813 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (cos (- (* n (/ K 2)) M))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 10.813 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 10.813 * [simplify]: Simplifying (* 1/2 (* K m)) 10.813 * * [simplify]: iters left: 4 (5 enodes) 10.816 * * [simplify]: iters left: 3 (19 enodes) 10.823 * * [simplify]: iters left: 2 (27 enodes) 10.832 * * [simplify]: iters left: 1 (32 enodes) 10.840 * * [simplify]: Extracting #0: cost 1 inf + 0 10.840 * * [simplify]: Extracting #1: cost 8 inf + 0 10.840 * * [simplify]: Extracting #2: cost 7 inf + 45 10.841 * * [simplify]: Extracting #3: cost 0 inf + 421 10.841 * [simplify]: Simplified to (* (* m K) 1/2) 10.841 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (* (* m K) 1/2) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.841 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 10.842 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 10.842 * * [simplify]: iters left: 5 (6 enodes) 10.845 * * [simplify]: iters left: 4 (22 enodes) 10.852 * * [simplify]: iters left: 3 (30 enodes) 10.861 * * [simplify]: iters left: 2 (35 enodes) 10.871 * * [simplify]: Extracting #0: cost 1 inf + 0 10.871 * * [simplify]: Extracting #1: cost 3 inf + 0 10.871 * * [simplify]: Extracting #2: cost 10 inf + 0 10.871 * * [simplify]: Extracting #3: cost 10 inf + 3 10.871 * * [simplify]: Extracting #4: cost 6 inf + 171 10.872 * * [simplify]: Extracting #5: cost 1 inf + 564 10.872 * * [simplify]: Extracting #6: cost 0 inf + 707 10.873 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 10.873 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.873 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 10.873 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 10.873 * * [simplify]: iters left: 5 (6 enodes) 10.877 * * [simplify]: iters left: 4 (22 enodes) 10.884 * * [simplify]: iters left: 3 (30 enodes) 10.889 * * [simplify]: iters left: 2 (35 enodes) 10.893 * * [simplify]: Extracting #0: cost 1 inf + 0 10.893 * * [simplify]: Extracting #1: cost 3 inf + 0 10.893 * * [simplify]: Extracting #2: cost 10 inf + 0 10.894 * * [simplify]: Extracting #3: cost 10 inf + 3 10.894 * * [simplify]: Extracting #4: cost 6 inf + 171 10.894 * * [simplify]: Extracting #5: cost 1 inf + 564 10.894 * * [simplify]: Extracting #6: cost 0 inf + 707 10.894 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 10.894 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.894 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 10.895 * [simplify]: Simplifying 1 10.895 * * [simplify]: iters left: 0 (1 enodes) 10.897 * * [simplify]: Extracting #0: cost 1 inf + 0 10.897 * * [simplify]: Extracting #1: cost 0 inf + 1 10.897 * [simplify]: Simplified to 1 10.897 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* 1 (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.897 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 10.897 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 10.897 * * [simplify]: iters left: 5 (6 enodes) 10.899 * * [simplify]: iters left: 4 (22 enodes) 10.903 * * [simplify]: iters left: 3 (30 enodes) 10.908 * * [simplify]: iters left: 2 (35 enodes) 10.912 * * [simplify]: Extracting #0: cost 1 inf + 0 10.913 * * [simplify]: Extracting #1: cost 3 inf + 0 10.913 * * [simplify]: Extracting #2: cost 10 inf + 0 10.913 * * [simplify]: Extracting #3: cost 10 inf + 3 10.913 * * [simplify]: Extracting #4: cost 6 inf + 171 10.913 * * [simplify]: Extracting #5: cost 1 inf + 564 10.913 * * [simplify]: Extracting #6: cost 0 inf + 707 10.913 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 10.913 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.914 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 10.914 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 10.914 * * [simplify]: iters left: 5 (6 enodes) 10.916 * * [simplify]: iters left: 4 (22 enodes) 10.919 * * [simplify]: iters left: 3 (30 enodes) 10.924 * * [simplify]: iters left: 2 (35 enodes) 10.930 * * [simplify]: Extracting #0: cost 1 inf + 0 10.930 * * [simplify]: Extracting #1: cost 3 inf + 0 10.930 * * [simplify]: Extracting #2: cost 10 inf + 0 10.930 * * [simplify]: Extracting #3: cost 10 inf + 3 10.930 * * [simplify]: Extracting #4: cost 6 inf + 171 10.931 * * [simplify]: Extracting #5: cost 1 inf + 564 10.931 * * [simplify]: Extracting #6: cost 0 inf + 707 10.931 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 10.932 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.932 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 10.932 * [simplify]: Simplifying (- (* 1/2 (* K n)) M) 10.932 * * [simplify]: iters left: 6 (7 enodes) 10.936 * * [simplify]: iters left: 5 (28 enodes) 10.945 * * [simplify]: iters left: 4 (41 enodes) 10.958 * * [simplify]: iters left: 3 (50 enodes) 10.970 * * [simplify]: Extracting #0: cost 1 inf + 0 10.970 * * [simplify]: Extracting #1: cost 11 inf + 0 10.970 * * [simplify]: Extracting #2: cost 10 inf + 87 10.971 * * [simplify]: Extracting #3: cost 2 inf + 668 10.971 * * [simplify]: Extracting #4: cost 0 inf + 752 10.972 * [simplify]: Simplified to (- (* (* n K) 1/2) M) 10.972 * [simplify]: Simplified (2 1 2 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (- (* (* n K) 1/2) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.972 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 10.973 * [simplify]: Simplifying (sin (- (* 1/2 (* K n)) M)) 10.973 * * [simplify]: iters left: 6 (8 enodes) 10.977 * * [simplify]: iters left: 5 (31 enodes) 10.987 * * [simplify]: iters left: 4 (44 enodes) 11.000 * * [simplify]: iters left: 3 (53 enodes) 11.013 * * [simplify]: Extracting #0: cost 1 inf + 0 11.013 * * [simplify]: Extracting #1: cost 3 inf + 0 11.014 * * [simplify]: Extracting #2: cost 13 inf + 0 11.014 * * [simplify]: Extracting #3: cost 13 inf + 46 11.014 * * [simplify]: Extracting #4: cost 3 inf + 811 11.015 * * [simplify]: Extracting #5: cost 0 inf + 1120 11.015 * [simplify]: Simplified to (sin (- (* (* n K) 1/2) M)) 11.015 * [simplify]: Simplified (2 1 2 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* (* n K) 1/2) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 11.016 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 11.016 * [simplify]: Simplifying (sin (- (* 1/2 (* K n)) M)) 11.016 * * [simplify]: iters left: 6 (8 enodes) 11.020 * * [simplify]: iters left: 5 (31 enodes) 11.033 * * [simplify]: iters left: 4 (44 enodes) 11.042 * * [simplify]: iters left: 3 (53 enodes) 11.049 * * [simplify]: Extracting #0: cost 1 inf + 0 11.049 * * [simplify]: Extracting #1: cost 3 inf + 0 11.049 * * [simplify]: Extracting #2: cost 13 inf + 0 11.049 * * [simplify]: Extracting #3: cost 13 inf + 46 11.049 * * [simplify]: Extracting #4: cost 3 inf + 811 11.050 * * [simplify]: Extracting #5: cost 0 inf + 1120 11.050 * [simplify]: Simplified to (sin (- (* (* n K) 1/2) M)) 11.050 * [simplify]: Simplified (2 1 2 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* (* n K) 1/2) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 11.050 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 11.050 * [simplify]: Simplifying 1 11.050 * * [simplify]: iters left: 0 (1 enodes) 11.051 * * [simplify]: Extracting #0: cost 1 inf + 0 11.051 * * [simplify]: Extracting #1: cost 0 inf + 1 11.051 * [simplify]: Simplified to 1 11.051 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) 1) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 11.051 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 11.051 * [simplify]: Simplifying (cos (- (* 1/2 (* K n)) M)) 11.051 * * [simplify]: iters left: 6 (8 enodes) 11.054 * * [simplify]: iters left: 5 (31 enodes) 11.059 * * [simplify]: iters left: 4 (44 enodes) 11.066 * * [simplify]: iters left: 3 (53 enodes) 11.077 * * [simplify]: Extracting #0: cost 1 inf + 0 11.077 * * [simplify]: Extracting #1: cost 3 inf + 0 11.077 * * [simplify]: Extracting #2: cost 13 inf + 0 11.077 * * [simplify]: Extracting #3: cost 13 inf + 46 11.078 * * [simplify]: Extracting #4: cost 3 inf + 811 11.078 * * [simplify]: Extracting #5: cost 0 inf + 1120 11.079 * [simplify]: Simplified to (cos (- (* (* n K) 1/2) M)) 11.079 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* (* n K) 1/2) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 11.079 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 11.080 * [simplify]: Simplifying (cos (- (* 1/2 (* K n)) M)) 11.080 * * [simplify]: iters left: 6 (8 enodes) 11.084 * * [simplify]: iters left: 5 (31 enodes) 11.094 * * [simplify]: iters left: 4 (44 enodes) 11.102 * * [simplify]: iters left: 3 (53 enodes) 11.109 * * [simplify]: Extracting #0: cost 1 inf + 0 11.109 * * [simplify]: Extracting #1: cost 3 inf + 0 11.109 * * [simplify]: Extracting #2: cost 13 inf + 0 11.109 * * [simplify]: Extracting #3: cost 13 inf + 46 11.109 * * [simplify]: Extracting #4: cost 3 inf + 811 11.110 * * [simplify]: Extracting #5: cost 0 inf + 1120 11.110 * [simplify]: Simplified to (cos (- (* (* n K) 1/2) M)) 11.110 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* (* n K) 1/2) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 11.110 * * * [progress]: adding candidates to table 12.730 * * [progress]: iteration 4 / 4 12.730 * * * [progress]: picking best candidate 12.762 * * * * [pick]: Picked # 12.762 * * * [progress]: localizing error 12.921 * * * [progress]: generating rewritten candidates 12.921 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 1) 12.936 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 12.951 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 12.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 12.980 * * * [progress]: generating series expansions 12.981 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 1) 12.981 * [backup-simplify]: Simplify (sin (* n (/ K 2))) into (sin (* 1/2 (* K n))) 12.981 * [approximate]: Taking taylor expansion of (sin (* 1/2 (* K n))) in (n K) around 0 12.981 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* K n))) in K 12.981 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 12.981 * [taylor]: Taking taylor expansion of 1/2 in K 12.981 * [backup-simplify]: Simplify 1/2 into 1/2 12.981 * [taylor]: Taking taylor expansion of (* K n) in K 12.981 * [taylor]: Taking taylor expansion of K in K 12.981 * [backup-simplify]: Simplify 0 into 0 12.981 * [backup-simplify]: Simplify 1 into 1 12.981 * [taylor]: Taking taylor expansion of n in K 12.981 * [backup-simplify]: Simplify n into n 12.981 * [backup-simplify]: Simplify (* 0 n) into 0 12.982 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 12.983 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 12.983 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* K n))) in n 12.983 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 12.983 * [taylor]: Taking taylor expansion of 1/2 in n 12.983 * [backup-simplify]: Simplify 1/2 into 1/2 12.983 * [taylor]: Taking taylor expansion of (* K n) in n 12.983 * [taylor]: Taking taylor expansion of K in n 12.983 * [backup-simplify]: Simplify K into K 12.983 * [taylor]: Taking taylor expansion of n in n 12.983 * [backup-simplify]: Simplify 0 into 0 12.983 * [backup-simplify]: Simplify 1 into 1 12.983 * [backup-simplify]: Simplify (* K 0) into 0 12.990 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.991 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.991 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 12.991 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* K n))) in n 12.991 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 12.991 * [taylor]: Taking taylor expansion of 1/2 in n 12.991 * [backup-simplify]: Simplify 1/2 into 1/2 12.991 * [taylor]: Taking taylor expansion of (* K n) in n 12.991 * [taylor]: Taking taylor expansion of K in n 12.991 * [backup-simplify]: Simplify K into K 12.991 * [taylor]: Taking taylor expansion of n in n 12.991 * [backup-simplify]: Simplify 0 into 0 12.991 * [backup-simplify]: Simplify 1 into 1 12.991 * [backup-simplify]: Simplify (* K 0) into 0 12.992 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.992 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 12.993 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 12.993 * [taylor]: Taking taylor expansion of 0 in K 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 12.993 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 12.993 * [taylor]: Taking taylor expansion of 1/2 in K 12.993 * [backup-simplify]: Simplify 1/2 into 1/2 12.993 * [taylor]: Taking taylor expansion of K in K 12.993 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify 1 into 1 12.994 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.994 * [backup-simplify]: Simplify 0 into 0 12.994 * [backup-simplify]: Simplify 0 into 0 12.994 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 12.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 12.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.996 * [taylor]: Taking taylor expansion of 0 in K 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 12.997 * [backup-simplify]: Simplify 1/2 into 1/2 12.997 * [backup-simplify]: Simplify 0 into 0 12.998 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 13.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 13.000 * [taylor]: Taking taylor expansion of (- (* 1/48 (pow K 3))) in K 13.000 * [taylor]: Taking taylor expansion of (* 1/48 (pow K 3)) in K 13.000 * [taylor]: Taking taylor expansion of 1/48 in K 13.000 * [backup-simplify]: Simplify 1/48 into 1/48 13.000 * [taylor]: Taking taylor expansion of (pow K 3) in K 13.000 * [taylor]: Taking taylor expansion of K in K 13.000 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify 1 into 1 13.000 * [backup-simplify]: Simplify 0 into 0 13.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.001 * [backup-simplify]: Simplify 0 into 0 13.002 * [backup-simplify]: Simplify 0 into 0 13.003 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 K) (* 0 0))))) into 0 13.006 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.006 * [taylor]: Taking taylor expansion of 0 in K 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify 0 into 0 13.006 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 13.006 * [backup-simplify]: Simplify (sin (* (/ 1 n) (/ (/ 1 K) 2))) into (sin (/ 1/2 (* K n))) 13.006 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in (n K) around 0 13.006 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in K 13.006 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.006 * [taylor]: Taking taylor expansion of 1/2 in K 13.006 * [backup-simplify]: Simplify 1/2 into 1/2 13.006 * [taylor]: Taking taylor expansion of (* K n) in K 13.006 * [taylor]: Taking taylor expansion of K in K 13.006 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify 1 into 1 13.007 * [taylor]: Taking taylor expansion of n in K 13.007 * [backup-simplify]: Simplify n into n 13.007 * [backup-simplify]: Simplify (* 0 n) into 0 13.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.007 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.007 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.007 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in n 13.007 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.007 * [taylor]: Taking taylor expansion of 1/2 in n 13.007 * [backup-simplify]: Simplify 1/2 into 1/2 13.007 * [taylor]: Taking taylor expansion of (* K n) in n 13.007 * [taylor]: Taking taylor expansion of K in n 13.007 * [backup-simplify]: Simplify K into K 13.007 * [taylor]: Taking taylor expansion of n in n 13.007 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (* K 0) into 0 13.008 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.008 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.008 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.008 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in n 13.008 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.008 * [taylor]: Taking taylor expansion of 1/2 in n 13.008 * [backup-simplify]: Simplify 1/2 into 1/2 13.008 * [taylor]: Taking taylor expansion of (* K n) in n 13.008 * [taylor]: Taking taylor expansion of K in n 13.008 * [backup-simplify]: Simplify K into K 13.008 * [taylor]: Taking taylor expansion of n in n 13.008 * [backup-simplify]: Simplify 0 into 0 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (* K 0) into 0 13.009 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.009 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.009 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.009 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in K 13.009 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.009 * [taylor]: Taking taylor expansion of 1/2 in K 13.009 * [backup-simplify]: Simplify 1/2 into 1/2 13.009 * [taylor]: Taking taylor expansion of (* K n) in K 13.009 * [taylor]: Taking taylor expansion of K in K 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 1 into 1 13.009 * [taylor]: Taking taylor expansion of n in K 13.009 * [backup-simplify]: Simplify n into n 13.009 * [backup-simplify]: Simplify (* 0 n) into 0 13.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.010 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.010 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.010 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.010 * [taylor]: Taking taylor expansion of 0 in K 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [taylor]: Taking taylor expansion of 0 in K 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [taylor]: Taking taylor expansion of 0 in K 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 K) (/ 1 n)))) into (sin (* 1/2 (* K n))) 13.011 * [backup-simplify]: Simplify (sin (* (/ 1 (- n)) (/ (/ 1 (- K)) 2))) into (sin (/ 1/2 (* K n))) 13.011 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in (n K) around 0 13.011 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in K 13.011 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.011 * [taylor]: Taking taylor expansion of 1/2 in K 13.011 * [backup-simplify]: Simplify 1/2 into 1/2 13.011 * [taylor]: Taking taylor expansion of (* K n) in K 13.011 * [taylor]: Taking taylor expansion of K in K 13.011 * [backup-simplify]: Simplify 0 into 0 13.011 * [backup-simplify]: Simplify 1 into 1 13.011 * [taylor]: Taking taylor expansion of n in K 13.011 * [backup-simplify]: Simplify n into n 13.011 * [backup-simplify]: Simplify (* 0 n) into 0 13.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.012 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.012 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.012 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in n 13.012 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.012 * [taylor]: Taking taylor expansion of 1/2 in n 13.012 * [backup-simplify]: Simplify 1/2 into 1/2 13.012 * [taylor]: Taking taylor expansion of (* K n) in n 13.012 * [taylor]: Taking taylor expansion of K in n 13.012 * [backup-simplify]: Simplify K into K 13.012 * [taylor]: Taking taylor expansion of n in n 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify 1 into 1 13.012 * [backup-simplify]: Simplify (* K 0) into 0 13.012 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.012 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.013 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.013 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in n 13.013 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.013 * [taylor]: Taking taylor expansion of 1/2 in n 13.013 * [backup-simplify]: Simplify 1/2 into 1/2 13.013 * [taylor]: Taking taylor expansion of (* K n) in n 13.013 * [taylor]: Taking taylor expansion of K in n 13.013 * [backup-simplify]: Simplify K into K 13.013 * [taylor]: Taking taylor expansion of n in n 13.013 * [backup-simplify]: Simplify 0 into 0 13.013 * [backup-simplify]: Simplify 1 into 1 13.013 * [backup-simplify]: Simplify (* K 0) into 0 13.013 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.013 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.013 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.014 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* K n))) in K 13.014 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.014 * [taylor]: Taking taylor expansion of 1/2 in K 13.014 * [backup-simplify]: Simplify 1/2 into 1/2 13.014 * [taylor]: Taking taylor expansion of (* K n) in K 13.014 * [taylor]: Taking taylor expansion of K in K 13.014 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [taylor]: Taking taylor expansion of n in K 13.014 * [backup-simplify]: Simplify n into n 13.014 * [backup-simplify]: Simplify (* 0 n) into 0 13.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.014 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.014 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.015 * [backup-simplify]: Simplify (sin (/ 1/2 (* K n))) into (sin (/ 1/2 (* K n))) 13.015 * [taylor]: Taking taylor expansion of 0 in K 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [taylor]: Taking taylor expansion of 0 in K 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [taylor]: Taking taylor expansion of 0 in K 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 (- K)) (/ 1 (- n))))) into (sin (* 1/2 (* K n))) 13.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 13.015 * [backup-simplify]: Simplify (cos (* n (/ K 2))) into (cos (* 1/2 (* K n))) 13.015 * [approximate]: Taking taylor expansion of (cos (* 1/2 (* K n))) in (n K) around 0 13.015 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* K n))) in K 13.015 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 13.015 * [taylor]: Taking taylor expansion of 1/2 in K 13.016 * [backup-simplify]: Simplify 1/2 into 1/2 13.016 * [taylor]: Taking taylor expansion of (* K n) in K 13.016 * [taylor]: Taking taylor expansion of K in K 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 1 into 1 13.016 * [taylor]: Taking taylor expansion of n in K 13.016 * [backup-simplify]: Simplify n into n 13.016 * [backup-simplify]: Simplify (* 0 n) into 0 13.016 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.017 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.017 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 13.017 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* K n))) in n 13.017 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 13.017 * [taylor]: Taking taylor expansion of 1/2 in n 13.017 * [backup-simplify]: Simplify 1/2 into 1/2 13.017 * [taylor]: Taking taylor expansion of (* K n) in n 13.017 * [taylor]: Taking taylor expansion of K in n 13.017 * [backup-simplify]: Simplify K into K 13.017 * [taylor]: Taking taylor expansion of n in n 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 1 into 1 13.017 * [backup-simplify]: Simplify (* K 0) into 0 13.018 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.018 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.019 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 13.019 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* K n))) in n 13.019 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 13.019 * [taylor]: Taking taylor expansion of 1/2 in n 13.019 * [backup-simplify]: Simplify 1/2 into 1/2 13.019 * [taylor]: Taking taylor expansion of (* K n) in n 13.019 * [taylor]: Taking taylor expansion of K in n 13.019 * [backup-simplify]: Simplify K into K 13.019 * [taylor]: Taking taylor expansion of n in n 13.019 * [backup-simplify]: Simplify 0 into 0 13.019 * [backup-simplify]: Simplify 1 into 1 13.019 * [backup-simplify]: Simplify (* K 0) into 0 13.019 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.020 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.020 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 13.020 * [taylor]: Taking taylor expansion of 1 in K 13.020 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify (+ 0) into 0 13.021 * [taylor]: Taking taylor expansion of 0 in K 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 13.021 * [taylor]: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K 13.021 * [taylor]: Taking taylor expansion of (* 1/8 (pow K 2)) in K 13.021 * [taylor]: Taking taylor expansion of 1/8 in K 13.021 * [backup-simplify]: Simplify 1/8 into 1/8 13.021 * [taylor]: Taking taylor expansion of (pow K 2) in K 13.021 * [taylor]: Taking taylor expansion of K in K 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 1 into 1 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify 0 into 0 13.022 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 13.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 13.024 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.024 * [taylor]: Taking taylor expansion of 0 in K 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify 1 into 1 13.024 * [backup-simplify]: Simplify (cos (* (/ 1 n) (/ (/ 1 K) 2))) into (cos (/ 1/2 (* K n))) 13.024 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in (n K) around 0 13.024 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in K 13.024 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.024 * [taylor]: Taking taylor expansion of 1/2 in K 13.024 * [backup-simplify]: Simplify 1/2 into 1/2 13.024 * [taylor]: Taking taylor expansion of (* K n) in K 13.024 * [taylor]: Taking taylor expansion of K in K 13.024 * [backup-simplify]: Simplify 0 into 0 13.025 * [backup-simplify]: Simplify 1 into 1 13.025 * [taylor]: Taking taylor expansion of n in K 13.025 * [backup-simplify]: Simplify n into n 13.025 * [backup-simplify]: Simplify (* 0 n) into 0 13.025 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.025 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.025 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.025 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in n 13.025 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.025 * [taylor]: Taking taylor expansion of 1/2 in n 13.025 * [backup-simplify]: Simplify 1/2 into 1/2 13.025 * [taylor]: Taking taylor expansion of (* K n) in n 13.025 * [taylor]: Taking taylor expansion of K in n 13.025 * [backup-simplify]: Simplify K into K 13.025 * [taylor]: Taking taylor expansion of n in n 13.025 * [backup-simplify]: Simplify 0 into 0 13.026 * [backup-simplify]: Simplify 1 into 1 13.026 * [backup-simplify]: Simplify (* K 0) into 0 13.026 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.026 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.026 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.026 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in n 13.026 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.026 * [taylor]: Taking taylor expansion of 1/2 in n 13.026 * [backup-simplify]: Simplify 1/2 into 1/2 13.026 * [taylor]: Taking taylor expansion of (* K n) in n 13.026 * [taylor]: Taking taylor expansion of K in n 13.026 * [backup-simplify]: Simplify K into K 13.026 * [taylor]: Taking taylor expansion of n in n 13.026 * [backup-simplify]: Simplify 0 into 0 13.026 * [backup-simplify]: Simplify 1 into 1 13.027 * [backup-simplify]: Simplify (* K 0) into 0 13.027 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.027 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.027 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.027 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in K 13.027 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.027 * [taylor]: Taking taylor expansion of 1/2 in K 13.027 * [backup-simplify]: Simplify 1/2 into 1/2 13.027 * [taylor]: Taking taylor expansion of (* K n) in K 13.027 * [taylor]: Taking taylor expansion of K in K 13.027 * [backup-simplify]: Simplify 0 into 0 13.027 * [backup-simplify]: Simplify 1 into 1 13.027 * [taylor]: Taking taylor expansion of n in K 13.027 * [backup-simplify]: Simplify n into n 13.027 * [backup-simplify]: Simplify (* 0 n) into 0 13.028 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.028 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.028 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.028 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.028 * [taylor]: Taking taylor expansion of 0 in K 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [taylor]: Taking taylor expansion of 0 in K 13.028 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [taylor]: Taking taylor expansion of 0 in K 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 K) (/ 1 n)))) into (cos (* 1/2 (* K n))) 13.029 * [backup-simplify]: Simplify (cos (* (/ 1 (- n)) (/ (/ 1 (- K)) 2))) into (cos (/ 1/2 (* K n))) 13.029 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in (n K) around 0 13.029 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in K 13.029 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.029 * [taylor]: Taking taylor expansion of 1/2 in K 13.029 * [backup-simplify]: Simplify 1/2 into 1/2 13.029 * [taylor]: Taking taylor expansion of (* K n) in K 13.029 * [taylor]: Taking taylor expansion of K in K 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 1 into 1 13.029 * [taylor]: Taking taylor expansion of n in K 13.029 * [backup-simplify]: Simplify n into n 13.029 * [backup-simplify]: Simplify (* 0 n) into 0 13.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.030 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.030 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.030 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in n 13.030 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.030 * [taylor]: Taking taylor expansion of 1/2 in n 13.030 * [backup-simplify]: Simplify 1/2 into 1/2 13.030 * [taylor]: Taking taylor expansion of (* K n) in n 13.030 * [taylor]: Taking taylor expansion of K in n 13.030 * [backup-simplify]: Simplify K into K 13.030 * [taylor]: Taking taylor expansion of n in n 13.030 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify 1 into 1 13.031 * [backup-simplify]: Simplify (* K 0) into 0 13.031 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.031 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.031 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.031 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in n 13.031 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in n 13.031 * [taylor]: Taking taylor expansion of 1/2 in n 13.031 * [backup-simplify]: Simplify 1/2 into 1/2 13.031 * [taylor]: Taking taylor expansion of (* K n) in n 13.031 * [taylor]: Taking taylor expansion of K in n 13.031 * [backup-simplify]: Simplify K into K 13.031 * [taylor]: Taking taylor expansion of n in n 13.031 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify 1 into 1 13.032 * [backup-simplify]: Simplify (* K 0) into 0 13.032 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 13.032 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.032 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.032 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* K n))) in K 13.032 * [taylor]: Taking taylor expansion of (/ 1/2 (* K n)) in K 13.032 * [taylor]: Taking taylor expansion of 1/2 in K 13.032 * [backup-simplify]: Simplify 1/2 into 1/2 13.032 * [taylor]: Taking taylor expansion of (* K n) in K 13.032 * [taylor]: Taking taylor expansion of K in K 13.032 * [backup-simplify]: Simplify 0 into 0 13.032 * [backup-simplify]: Simplify 1 into 1 13.032 * [taylor]: Taking taylor expansion of n in K 13.033 * [backup-simplify]: Simplify n into n 13.033 * [backup-simplify]: Simplify (* 0 n) into 0 13.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 13.033 * [backup-simplify]: Simplify (/ 1/2 n) into (/ 1/2 n) 13.033 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.033 * [backup-simplify]: Simplify (cos (/ 1/2 (* K n))) into (cos (/ 1/2 (* K n))) 13.033 * [taylor]: Taking taylor expansion of 0 in K 13.033 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify 0 into 0 13.033 * [backup-simplify]: Simplify 0 into 0 13.034 * [taylor]: Taking taylor expansion of 0 in K 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [taylor]: Taking taylor expansion of 0 in K 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 (- K)) (/ 1 (- n))))) into (cos (* 1/2 (* K n))) 13.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 13.034 * [backup-simplify]: Simplify (sin (* m (/ K 2))) into (sin (* 1/2 (* m K))) 13.034 * [approximate]: Taking taylor expansion of (sin (* 1/2 (* m K))) in (m K) around 0 13.034 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in K 13.034 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 13.034 * [taylor]: Taking taylor expansion of 1/2 in K 13.034 * [backup-simplify]: Simplify 1/2 into 1/2 13.034 * [taylor]: Taking taylor expansion of (* m K) in K 13.034 * [taylor]: Taking taylor expansion of m in K 13.034 * [backup-simplify]: Simplify m into m 13.034 * [taylor]: Taking taylor expansion of K in K 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 1 into 1 13.034 * [backup-simplify]: Simplify (* m 0) into 0 13.035 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.035 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.036 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 13.036 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 13.036 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 13.036 * [taylor]: Taking taylor expansion of 1/2 in m 13.036 * [backup-simplify]: Simplify 1/2 into 1/2 13.036 * [taylor]: Taking taylor expansion of (* m K) in m 13.036 * [taylor]: Taking taylor expansion of m in m 13.036 * [backup-simplify]: Simplify 0 into 0 13.036 * [backup-simplify]: Simplify 1 into 1 13.036 * [taylor]: Taking taylor expansion of K in m 13.036 * [backup-simplify]: Simplify K into K 13.036 * [backup-simplify]: Simplify (* 0 K) into 0 13.037 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.038 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 13.038 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 13.038 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 13.038 * [taylor]: Taking taylor expansion of 1/2 in m 13.038 * [backup-simplify]: Simplify 1/2 into 1/2 13.038 * [taylor]: Taking taylor expansion of (* m K) in m 13.038 * [taylor]: Taking taylor expansion of m in m 13.038 * [backup-simplify]: Simplify 0 into 0 13.038 * [backup-simplify]: Simplify 1 into 1 13.038 * [taylor]: Taking taylor expansion of K in m 13.038 * [backup-simplify]: Simplify K into K 13.038 * [backup-simplify]: Simplify (* 0 K) into 0 13.038 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.039 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.039 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 13.039 * [taylor]: Taking taylor expansion of 0 in K 13.039 * [backup-simplify]: Simplify 0 into 0 13.039 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 13.040 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 13.040 * [taylor]: Taking taylor expansion of 1/2 in K 13.040 * [backup-simplify]: Simplify 1/2 into 1/2 13.040 * [taylor]: Taking taylor expansion of K in K 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 1 into 1 13.040 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 13.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 13.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.043 * [taylor]: Taking taylor expansion of 0 in K 13.043 * [backup-simplify]: Simplify 0 into 0 13.043 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.044 * [backup-simplify]: Simplify 1/2 into 1/2 13.044 * [backup-simplify]: Simplify 0 into 0 13.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 13.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 13.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 13.048 * [taylor]: Taking taylor expansion of (- (* 1/48 (pow K 3))) in K 13.048 * [taylor]: Taking taylor expansion of (* 1/48 (pow K 3)) in K 13.048 * [taylor]: Taking taylor expansion of 1/48 in K 13.048 * [backup-simplify]: Simplify 1/48 into 1/48 13.048 * [taylor]: Taking taylor expansion of (pow K 3) in K 13.048 * [taylor]: Taking taylor expansion of K in K 13.048 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify 1 into 1 13.048 * [backup-simplify]: Simplify 0 into 0 13.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.049 * [backup-simplify]: Simplify 0 into 0 13.049 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 13.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 K) (* 0 0))))) into 0 13.053 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.053 * [taylor]: Taking taylor expansion of 0 in K 13.053 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 13.054 * [backup-simplify]: Simplify (sin (* (/ 1 m) (/ (/ 1 K) 2))) into (sin (/ 1/2 (* m K))) 13.054 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 13.054 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 13.054 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.054 * [taylor]: Taking taylor expansion of 1/2 in K 13.054 * [backup-simplify]: Simplify 1/2 into 1/2 13.054 * [taylor]: Taking taylor expansion of (* m K) in K 13.054 * [taylor]: Taking taylor expansion of m in K 13.054 * [backup-simplify]: Simplify m into m 13.054 * [taylor]: Taking taylor expansion of K in K 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.054 * [backup-simplify]: Simplify (* m 0) into 0 13.055 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.055 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.055 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.055 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 13.055 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.055 * [taylor]: Taking taylor expansion of 1/2 in m 13.055 * [backup-simplify]: Simplify 1/2 into 1/2 13.055 * [taylor]: Taking taylor expansion of (* m K) in m 13.055 * [taylor]: Taking taylor expansion of m in m 13.055 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify 1 into 1 13.055 * [taylor]: Taking taylor expansion of K in m 13.055 * [backup-simplify]: Simplify K into K 13.055 * [backup-simplify]: Simplify (* 0 K) into 0 13.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.055 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.056 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.056 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 13.056 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.056 * [taylor]: Taking taylor expansion of 1/2 in m 13.056 * [backup-simplify]: Simplify 1/2 into 1/2 13.056 * [taylor]: Taking taylor expansion of (* m K) in m 13.056 * [taylor]: Taking taylor expansion of m in m 13.056 * [backup-simplify]: Simplify 0 into 0 13.056 * [backup-simplify]: Simplify 1 into 1 13.056 * [taylor]: Taking taylor expansion of K in m 13.056 * [backup-simplify]: Simplify K into K 13.056 * [backup-simplify]: Simplify (* 0 K) into 0 13.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.056 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.057 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.057 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 13.057 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.057 * [taylor]: Taking taylor expansion of 1/2 in K 13.057 * [backup-simplify]: Simplify 1/2 into 1/2 13.057 * [taylor]: Taking taylor expansion of (* m K) in K 13.057 * [taylor]: Taking taylor expansion of m in K 13.057 * [backup-simplify]: Simplify m into m 13.057 * [taylor]: Taking taylor expansion of K in K 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 1 into 1 13.057 * [backup-simplify]: Simplify (* m 0) into 0 13.057 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.057 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.058 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.058 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.058 * [taylor]: Taking taylor expansion of 0 in K 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [taylor]: Taking taylor expansion of 0 in K 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [taylor]: Taking taylor expansion of 0 in K 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (sin (* 1/2 (* m K))) 13.058 * [backup-simplify]: Simplify (sin (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (sin (/ 1/2 (* m K))) 13.058 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 13.058 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 13.058 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.058 * [taylor]: Taking taylor expansion of 1/2 in K 13.059 * [backup-simplify]: Simplify 1/2 into 1/2 13.059 * [taylor]: Taking taylor expansion of (* m K) in K 13.059 * [taylor]: Taking taylor expansion of m in K 13.059 * [backup-simplify]: Simplify m into m 13.059 * [taylor]: Taking taylor expansion of K in K 13.059 * [backup-simplify]: Simplify 0 into 0 13.059 * [backup-simplify]: Simplify 1 into 1 13.059 * [backup-simplify]: Simplify (* m 0) into 0 13.059 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.059 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.059 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.059 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 13.059 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.059 * [taylor]: Taking taylor expansion of 1/2 in m 13.059 * [backup-simplify]: Simplify 1/2 into 1/2 13.059 * [taylor]: Taking taylor expansion of (* m K) in m 13.059 * [taylor]: Taking taylor expansion of m in m 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.060 * [taylor]: Taking taylor expansion of K in m 13.060 * [backup-simplify]: Simplify K into K 13.060 * [backup-simplify]: Simplify (* 0 K) into 0 13.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.060 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.060 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.060 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 13.060 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.060 * [taylor]: Taking taylor expansion of 1/2 in m 13.060 * [backup-simplify]: Simplify 1/2 into 1/2 13.060 * [taylor]: Taking taylor expansion of (* m K) in m 13.060 * [taylor]: Taking taylor expansion of m in m 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.061 * [taylor]: Taking taylor expansion of K in m 13.061 * [backup-simplify]: Simplify K into K 13.061 * [backup-simplify]: Simplify (* 0 K) into 0 13.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.061 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.061 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.061 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 13.061 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.061 * [taylor]: Taking taylor expansion of 1/2 in K 13.061 * [backup-simplify]: Simplify 1/2 into 1/2 13.061 * [taylor]: Taking taylor expansion of (* m K) in K 13.061 * [taylor]: Taking taylor expansion of m in K 13.061 * [backup-simplify]: Simplify m into m 13.061 * [taylor]: Taking taylor expansion of K in K 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.062 * [backup-simplify]: Simplify (* m 0) into 0 13.062 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.062 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.062 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.062 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 13.062 * [taylor]: Taking taylor expansion of 0 in K 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 0 into 0 13.063 * [taylor]: Taking taylor expansion of 0 in K 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [taylor]: Taking taylor expansion of 0 in K 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (sin (* 1/2 (* m K))) 13.063 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 13.063 * [backup-simplify]: Simplify (cos (* m (/ K 2))) into (cos (* 1/2 (* m K))) 13.063 * [approximate]: Taking taylor expansion of (cos (* 1/2 (* m K))) in (m K) around 0 13.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in K 13.063 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 13.063 * [taylor]: Taking taylor expansion of 1/2 in K 13.063 * [backup-simplify]: Simplify 1/2 into 1/2 13.063 * [taylor]: Taking taylor expansion of (* m K) in K 13.063 * [taylor]: Taking taylor expansion of m in K 13.063 * [backup-simplify]: Simplify m into m 13.063 * [taylor]: Taking taylor expansion of K in K 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 1 into 1 13.064 * [backup-simplify]: Simplify (* m 0) into 0 13.064 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.064 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.065 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 13.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 13.065 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 13.065 * [taylor]: Taking taylor expansion of 1/2 in m 13.065 * [backup-simplify]: Simplify 1/2 into 1/2 13.065 * [taylor]: Taking taylor expansion of (* m K) in m 13.065 * [taylor]: Taking taylor expansion of m in m 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.065 * [taylor]: Taking taylor expansion of K in m 13.065 * [backup-simplify]: Simplify K into K 13.065 * [backup-simplify]: Simplify (* 0 K) into 0 13.066 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.066 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 13.067 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 13.067 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 13.067 * [taylor]: Taking taylor expansion of 1/2 in m 13.067 * [backup-simplify]: Simplify 1/2 into 1/2 13.067 * [taylor]: Taking taylor expansion of (* m K) in m 13.067 * [taylor]: Taking taylor expansion of m in m 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify 1 into 1 13.067 * [taylor]: Taking taylor expansion of K in m 13.067 * [backup-simplify]: Simplify K into K 13.067 * [backup-simplify]: Simplify (* 0 K) into 0 13.067 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.068 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 13.068 * [taylor]: Taking taylor expansion of 1 in K 13.068 * [backup-simplify]: Simplify 1 into 1 13.068 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify (+ 0) into 0 13.069 * [taylor]: Taking taylor expansion of 0 in K 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 13.069 * [taylor]: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K 13.069 * [taylor]: Taking taylor expansion of (* 1/8 (pow K 2)) in K 13.069 * [taylor]: Taking taylor expansion of 1/8 in K 13.069 * [backup-simplify]: Simplify 1/8 into 1/8 13.069 * [taylor]: Taking taylor expansion of (pow K 2) in K 13.069 * [taylor]: Taking taylor expansion of K in K 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 13.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 13.072 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.072 * [taylor]: Taking taylor expansion of 0 in K 13.072 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify 1 into 1 13.072 * [backup-simplify]: Simplify (cos (* (/ 1 m) (/ (/ 1 K) 2))) into (cos (/ 1/2 (* m K))) 13.072 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 13.072 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 13.072 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.072 * [taylor]: Taking taylor expansion of 1/2 in K 13.072 * [backup-simplify]: Simplify 1/2 into 1/2 13.073 * [taylor]: Taking taylor expansion of (* m K) in K 13.073 * [taylor]: Taking taylor expansion of m in K 13.073 * [backup-simplify]: Simplify m into m 13.073 * [taylor]: Taking taylor expansion of K in K 13.073 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify 1 into 1 13.073 * [backup-simplify]: Simplify (* m 0) into 0 13.073 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.073 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.073 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 13.073 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.073 * [taylor]: Taking taylor expansion of 1/2 in m 13.073 * [backup-simplify]: Simplify 1/2 into 1/2 13.073 * [taylor]: Taking taylor expansion of (* m K) in m 13.073 * [taylor]: Taking taylor expansion of m in m 13.073 * [backup-simplify]: Simplify 0 into 0 13.074 * [backup-simplify]: Simplify 1 into 1 13.074 * [taylor]: Taking taylor expansion of K in m 13.074 * [backup-simplify]: Simplify K into K 13.074 * [backup-simplify]: Simplify (* 0 K) into 0 13.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.074 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 13.074 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.074 * [taylor]: Taking taylor expansion of 1/2 in m 13.074 * [backup-simplify]: Simplify 1/2 into 1/2 13.074 * [taylor]: Taking taylor expansion of (* m K) in m 13.074 * [taylor]: Taking taylor expansion of m in m 13.074 * [backup-simplify]: Simplify 0 into 0 13.074 * [backup-simplify]: Simplify 1 into 1 13.074 * [taylor]: Taking taylor expansion of K in m 13.074 * [backup-simplify]: Simplify K into K 13.075 * [backup-simplify]: Simplify (* 0 K) into 0 13.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.075 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.075 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.075 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 13.075 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.075 * [taylor]: Taking taylor expansion of 1/2 in K 13.075 * [backup-simplify]: Simplify 1/2 into 1/2 13.075 * [taylor]: Taking taylor expansion of (* m K) in K 13.075 * [taylor]: Taking taylor expansion of m in K 13.075 * [backup-simplify]: Simplify m into m 13.075 * [taylor]: Taking taylor expansion of K in K 13.075 * [backup-simplify]: Simplify 0 into 0 13.075 * [backup-simplify]: Simplify 1 into 1 13.075 * [backup-simplify]: Simplify (* m 0) into 0 13.076 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.076 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.076 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.076 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.076 * [taylor]: Taking taylor expansion of 0 in K 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [taylor]: Taking taylor expansion of 0 in K 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [taylor]: Taking taylor expansion of 0 in K 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (cos (* 1/2 (* m K))) 13.077 * [backup-simplify]: Simplify (cos (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (cos (/ 1/2 (* m K))) 13.077 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 13.077 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 13.077 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.077 * [taylor]: Taking taylor expansion of 1/2 in K 13.077 * [backup-simplify]: Simplify 1/2 into 1/2 13.077 * [taylor]: Taking taylor expansion of (* m K) in K 13.077 * [taylor]: Taking taylor expansion of m in K 13.077 * [backup-simplify]: Simplify m into m 13.077 * [taylor]: Taking taylor expansion of K in K 13.077 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify 1 into 1 13.077 * [backup-simplify]: Simplify (* m 0) into 0 13.078 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.078 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.078 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.078 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 13.078 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.078 * [taylor]: Taking taylor expansion of 1/2 in m 13.078 * [backup-simplify]: Simplify 1/2 into 1/2 13.078 * [taylor]: Taking taylor expansion of (* m K) in m 13.078 * [taylor]: Taking taylor expansion of m in m 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify 1 into 1 13.078 * [taylor]: Taking taylor expansion of K in m 13.078 * [backup-simplify]: Simplify K into K 13.078 * [backup-simplify]: Simplify (* 0 K) into 0 13.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.079 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.079 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.079 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 13.079 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 13.079 * [taylor]: Taking taylor expansion of 1/2 in m 13.079 * [backup-simplify]: Simplify 1/2 into 1/2 13.079 * [taylor]: Taking taylor expansion of (* m K) in m 13.079 * [taylor]: Taking taylor expansion of m in m 13.079 * [backup-simplify]: Simplify 0 into 0 13.079 * [backup-simplify]: Simplify 1 into 1 13.079 * [taylor]: Taking taylor expansion of K in m 13.079 * [backup-simplify]: Simplify K into K 13.079 * [backup-simplify]: Simplify (* 0 K) into 0 13.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 13.080 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 13.080 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.080 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 13.080 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 13.080 * [taylor]: Taking taylor expansion of 1/2 in K 13.080 * [backup-simplify]: Simplify 1/2 into 1/2 13.080 * [taylor]: Taking taylor expansion of (* m K) in K 13.080 * [taylor]: Taking taylor expansion of m in K 13.080 * [backup-simplify]: Simplify m into m 13.080 * [taylor]: Taking taylor expansion of K in K 13.080 * [backup-simplify]: Simplify 0 into 0 13.080 * [backup-simplify]: Simplify 1 into 1 13.080 * [backup-simplify]: Simplify (* m 0) into 0 13.081 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 13.081 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 13.081 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.081 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 13.081 * [taylor]: Taking taylor expansion of 0 in K 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [taylor]: Taking taylor expansion of 0 in K 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [taylor]: Taking taylor expansion of 0 in K 13.081 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (cos (* 1/2 (* m K))) 13.082 * * * [progress]: simplifying candidates 13.082 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 13.082 * * * * [progress]: [ 10 / 52 ] simplifiying candidate #real (real->posit16 (sin (* n (/ K 2))))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 13.082 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 20 / 52 ] simplifiying candidate #real (real->posit16 (cos (* n (/ K 2))))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 13.083 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 13.083 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 13.084 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 13.084 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 13.085 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 13.085 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 13.085 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 13.085 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 13.085 * * * * [progress]: [ 40 / 52 ] simplifiying candidate #real (real->posit16 (cos (* m (/ K 2))))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 13.085 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 13.085 * [simplify]: Simplifying (* 1/2 (* K n)) 13.085 * * [simplify]: iters left: 4 (5 enodes) 13.089 * * [simplify]: iters left: 3 (19 enodes) 13.095 * * [simplify]: iters left: 2 (27 enodes) 13.104 * * [simplify]: iters left: 1 (32 enodes) 13.112 * * [simplify]: Extracting #0: cost 1 inf + 0 13.113 * * [simplify]: Extracting #1: cost 8 inf + 0 13.113 * * [simplify]: Extracting #2: cost 7 inf + 45 13.113 * * [simplify]: Extracting #3: cost 0 inf + 421 13.113 * [simplify]: Simplified to (* (* n K) 1/2) 13.113 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (* (* n K) 1/2) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.114 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 13.114 * [simplify]: Simplifying (sin (* 1/2 (* K n))) 13.114 * * [simplify]: iters left: 5 (6 enodes) 13.117 * * [simplify]: iters left: 4 (22 enodes) 13.124 * * [simplify]: iters left: 3 (30 enodes) 13.134 * * [simplify]: iters left: 2 (35 enodes) 13.142 * * [simplify]: Extracting #0: cost 1 inf + 0 13.142 * * [simplify]: Extracting #1: cost 3 inf + 0 13.143 * * [simplify]: Extracting #2: cost 10 inf + 0 13.143 * * [simplify]: Extracting #3: cost 10 inf + 3 13.143 * * [simplify]: Extracting #4: cost 6 inf + 171 13.143 * * [simplify]: Extracting #5: cost 1 inf + 564 13.143 * * [simplify]: Extracting #6: cost 0 inf + 707 13.144 * [simplify]: Simplified to (sin (* (* n K) 1/2)) 13.144 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* (* n K) 1/2)) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.144 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 13.145 * [simplify]: Simplifying (sin (* 1/2 (* K n))) 13.145 * * [simplify]: iters left: 5 (6 enodes) 13.148 * * [simplify]: iters left: 4 (22 enodes) 13.159 * * [simplify]: iters left: 3 (30 enodes) 13.169 * * [simplify]: iters left: 2 (35 enodes) 13.178 * * [simplify]: Extracting #0: cost 1 inf + 0 13.178 * * [simplify]: Extracting #1: cost 3 inf + 0 13.178 * * [simplify]: Extracting #2: cost 10 inf + 0 13.178 * * [simplify]: Extracting #3: cost 10 inf + 3 13.178 * * [simplify]: Extracting #4: cost 6 inf + 171 13.178 * * [simplify]: Extracting #5: cost 1 inf + 564 13.179 * * [simplify]: Extracting #6: cost 0 inf + 707 13.179 * [simplify]: Simplified to (sin (* (* n K) 1/2)) 13.179 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* (* n K) 1/2)) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.179 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 13.180 * [simplify]: Simplifying 1 13.180 * * [simplify]: iters left: 0 (1 enodes) 13.181 * * [simplify]: Extracting #0: cost 1 inf + 0 13.181 * * [simplify]: Extracting #1: cost 0 inf + 1 13.181 * [simplify]: Simplified to 1 13.181 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* 1 (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.181 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 13.182 * [simplify]: Simplifying (cos (* 1/2 (* K n))) 13.182 * * [simplify]: iters left: 5 (6 enodes) 13.185 * * [simplify]: iters left: 4 (22 enodes) 13.192 * * [simplify]: iters left: 3 (30 enodes) 13.201 * * [simplify]: iters left: 2 (35 enodes) 13.210 * * [simplify]: Extracting #0: cost 1 inf + 0 13.210 * * [simplify]: Extracting #1: cost 3 inf + 0 13.210 * * [simplify]: Extracting #2: cost 10 inf + 0 13.210 * * [simplify]: Extracting #3: cost 10 inf + 3 13.210 * * [simplify]: Extracting #4: cost 6 inf + 171 13.211 * * [simplify]: Extracting #5: cost 1 inf + 564 13.211 * * [simplify]: Extracting #6: cost 0 inf + 707 13.211 * [simplify]: Simplified to (cos (* (* n K) 1/2)) 13.212 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* (* n K) 1/2)) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.212 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 13.212 * [simplify]: Simplifying (cos (* 1/2 (* K n))) 13.212 * * [simplify]: iters left: 5 (6 enodes) 13.216 * * [simplify]: iters left: 4 (22 enodes) 13.222 * * [simplify]: iters left: 3 (30 enodes) 13.231 * * [simplify]: iters left: 2 (35 enodes) 13.240 * * [simplify]: Extracting #0: cost 1 inf + 0 13.240 * * [simplify]: Extracting #1: cost 3 inf + 0 13.240 * * [simplify]: Extracting #2: cost 10 inf + 0 13.241 * * [simplify]: Extracting #3: cost 10 inf + 3 13.241 * * [simplify]: Extracting #4: cost 6 inf + 171 13.241 * * [simplify]: Extracting #5: cost 1 inf + 564 13.242 * * [simplify]: Extracting #6: cost 0 inf + 707 13.242 * [simplify]: Simplified to (cos (* (* n K) 1/2)) 13.242 * [simplify]: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* (* n K) 1/2)) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.243 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 13.243 * [simplify]: Simplifying (* 1/2 (* K m)) 13.243 * * [simplify]: iters left: 4 (5 enodes) 13.247 * * [simplify]: iters left: 3 (19 enodes) 13.253 * * [simplify]: iters left: 2 (27 enodes) 13.261 * * [simplify]: iters left: 1 (32 enodes) 13.270 * * [simplify]: Extracting #0: cost 1 inf + 0 13.270 * * [simplify]: Extracting #1: cost 8 inf + 0 13.270 * * [simplify]: Extracting #2: cost 7 inf + 45 13.270 * * [simplify]: Extracting #3: cost 0 inf + 421 13.270 * [simplify]: Simplified to (* (* m K) 1/2) 13.270 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (* (* m K) 1/2) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.271 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 13.271 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 13.271 * * [simplify]: iters left: 5 (6 enodes) 13.274 * * [simplify]: iters left: 4 (22 enodes) 13.281 * * [simplify]: iters left: 3 (30 enodes) 13.290 * * [simplify]: iters left: 2 (35 enodes) 13.300 * * [simplify]: Extracting #0: cost 1 inf + 0 13.300 * * [simplify]: Extracting #1: cost 3 inf + 0 13.300 * * [simplify]: Extracting #2: cost 10 inf + 0 13.300 * * [simplify]: Extracting #3: cost 10 inf + 3 13.300 * * [simplify]: Extracting #4: cost 6 inf + 171 13.300 * * [simplify]: Extracting #5: cost 1 inf + 564 13.301 * * [simplify]: Extracting #6: cost 0 inf + 707 13.301 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 13.301 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.301 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 13.302 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 13.302 * * [simplify]: iters left: 5 (6 enodes) 13.305 * * [simplify]: iters left: 4 (22 enodes) 13.310 * * [simplify]: iters left: 3 (30 enodes) 13.317 * * [simplify]: iters left: 2 (35 enodes) 13.322 * * [simplify]: Extracting #0: cost 1 inf + 0 13.322 * * [simplify]: Extracting #1: cost 3 inf + 0 13.322 * * [simplify]: Extracting #2: cost 10 inf + 0 13.322 * * [simplify]: Extracting #3: cost 10 inf + 3 13.322 * * [simplify]: Extracting #4: cost 6 inf + 171 13.322 * * [simplify]: Extracting #5: cost 1 inf + 564 13.322 * * [simplify]: Extracting #6: cost 0 inf + 707 13.322 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 13.322 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.323 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 13.323 * [simplify]: Simplifying 1 13.323 * * [simplify]: iters left: 0 (1 enodes) 13.323 * * [simplify]: Extracting #0: cost 1 inf + 0 13.323 * * [simplify]: Extracting #1: cost 0 inf + 1 13.324 * [simplify]: Simplified to 1 13.324 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* 1 (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.324 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 13.324 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 13.324 * * [simplify]: iters left: 5 (6 enodes) 13.326 * * [simplify]: iters left: 4 (22 enodes) 13.329 * * [simplify]: iters left: 3 (30 enodes) 13.334 * * [simplify]: iters left: 2 (35 enodes) 13.339 * * [simplify]: Extracting #0: cost 1 inf + 0 13.339 * * [simplify]: Extracting #1: cost 3 inf + 0 13.340 * * [simplify]: Extracting #2: cost 10 inf + 0 13.340 * * [simplify]: Extracting #3: cost 10 inf + 3 13.340 * * [simplify]: Extracting #4: cost 6 inf + 171 13.340 * * [simplify]: Extracting #5: cost 1 inf + 564 13.340 * * [simplify]: Extracting #6: cost 0 inf + 707 13.341 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 13.341 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.341 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 13.341 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 13.341 * * [simplify]: iters left: 5 (6 enodes) 13.345 * * [simplify]: iters left: 4 (22 enodes) 13.353 * * [simplify]: iters left: 3 (30 enodes) 13.361 * * [simplify]: iters left: 2 (35 enodes) 13.371 * * [simplify]: Extracting #0: cost 1 inf + 0 13.371 * * [simplify]: Extracting #1: cost 3 inf + 0 13.371 * * [simplify]: Extracting #2: cost 10 inf + 0 13.371 * * [simplify]: Extracting #3: cost 10 inf + 3 13.371 * * [simplify]: Extracting #4: cost 6 inf + 171 13.371 * * [simplify]: Extracting #5: cost 1 inf + 564 13.372 * * [simplify]: Extracting #6: cost 0 inf + 707 13.372 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 13.372 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (+ (* (cos (* n (/ K 2))) (cos M)) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 13.372 * * * [progress]: adding candidates to table 14.948 * [progress]: [Phase 3 of 3] Extracting. 14.948 * * [regime]: Finding splitpoints for: (# #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> # #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 14.953 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 14.953 * * * * [regimes]: Trying to branch on l from (# #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> # #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 15.081 * * * * [regimes]: Trying to branch on M from (# #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> # #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 15.186 * * * * [regimes]: Trying to branch on n from (# #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> # #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 15.256 * * * * [regimes]: Trying to branch on m from (# #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> # #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 15.338 * * * * [regimes]: Trying to branch on K from (# #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> # #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 15.408 * * * [regime]: Found split indices: #