32.018 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.087 * [simplify]: Simplifying: (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.087 * * [simplify]: iteration 0: 21 enodes 0.105 * * [simplify]: iteration 1: 51 enodes 0.118 * * [simplify]: iteration 2: 102 enodes 0.147 * * [simplify]: iteration 3: 257 enodes 0.215 * * [simplify]: iteration 4: 818 enodes 0.418 * * [simplify]: iteration 5: 2000 enodes 0.839 * * [simplify]: iteration complete: 2000 enodes 0.840 * * [simplify]: Extracting #0: cost 1 inf + 0 0.840 * * [simplify]: Extracting #1: cost 111 inf + 0 0.841 * * [simplify]: Extracting #2: cost 392 inf + 1 0.844 * * [simplify]: Extracting #3: cost 624 inf + 269 0.848 * * [simplify]: Extracting #4: cost 693 inf + 2160 0.865 * * [simplify]: Extracting #5: cost 597 inf + 23090 0.890 * * [simplify]: Extracting #6: cost 347 inf + 100377 0.939 * * [simplify]: Extracting #7: cost 30 inf + 225353 0.982 * * [simplify]: Extracting #8: cost 0 inf + 240022 1.026 * [simplify]: Simplified to: (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))) 1.033 * * [progress]: iteration 1 / 4 1.033 * * * [progress]: picking best candidate 1.038 * * * * [pick]: Picked # 1.038 * * * [progress]: localizing error 1.082 * * * [progress]: generating rewritten candidates 1.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.121 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.135 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 1.283 * * * [progress]: generating series expansions 1.283 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.283 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.283 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 1.283 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.283 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.283 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.283 * [taylor]: Taking taylor expansion of 1/2 in M 1.283 * [backup-simplify]: Simplify 1/2 into 1/2 1.284 * [taylor]: Taking taylor expansion of (* K n) in M 1.284 * [taylor]: Taking taylor expansion of K in M 1.284 * [backup-simplify]: Simplify K into K 1.284 * [taylor]: Taking taylor expansion of n in M 1.284 * [backup-simplify]: Simplify n into n 1.284 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.284 * [taylor]: Taking taylor expansion of 1/2 in M 1.284 * [backup-simplify]: Simplify 1/2 into 1/2 1.284 * [taylor]: Taking taylor expansion of (* K m) in M 1.284 * [taylor]: Taking taylor expansion of K in M 1.284 * [backup-simplify]: Simplify K into K 1.284 * [taylor]: Taking taylor expansion of m in M 1.284 * [backup-simplify]: Simplify m into m 1.284 * [taylor]: Taking taylor expansion of M in M 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (* K n) into (* K n) 1.284 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.284 * [backup-simplify]: Simplify (* K m) into (* K m) 1.284 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.284 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.285 * [backup-simplify]: Simplify (- 0) into 0 1.285 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.285 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.285 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.285 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.285 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.285 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.285 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.285 * [taylor]: Taking taylor expansion of 1/2 in K 1.285 * [backup-simplify]: Simplify 1/2 into 1/2 1.285 * [taylor]: Taking taylor expansion of (* K n) in K 1.285 * [taylor]: Taking taylor expansion of K in K 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [taylor]: Taking taylor expansion of n in K 1.285 * [backup-simplify]: Simplify n into n 1.285 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.285 * [taylor]: Taking taylor expansion of 1/2 in K 1.285 * [backup-simplify]: Simplify 1/2 into 1/2 1.285 * [taylor]: Taking taylor expansion of (* K m) in K 1.285 * [taylor]: Taking taylor expansion of K in K 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [taylor]: Taking taylor expansion of m in K 1.285 * [backup-simplify]: Simplify m into m 1.285 * [taylor]: Taking taylor expansion of M in K 1.285 * [backup-simplify]: Simplify M into M 1.285 * [backup-simplify]: Simplify (* 0 n) into 0 1.286 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.286 * [backup-simplify]: Simplify (* 0 m) into 0 1.286 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (- M) into (- M) 1.286 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.286 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.286 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.286 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.286 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.286 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.286 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.286 * [taylor]: Taking taylor expansion of 1/2 in n 1.286 * [backup-simplify]: Simplify 1/2 into 1/2 1.286 * [taylor]: Taking taylor expansion of (* K n) in n 1.286 * [taylor]: Taking taylor expansion of K in n 1.286 * [backup-simplify]: Simplify K into K 1.287 * [taylor]: Taking taylor expansion of n in n 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.287 * [taylor]: Taking taylor expansion of 1/2 in n 1.287 * [backup-simplify]: Simplify 1/2 into 1/2 1.287 * [taylor]: Taking taylor expansion of (* K m) in n 1.287 * [taylor]: Taking taylor expansion of K in n 1.287 * [backup-simplify]: Simplify K into K 1.287 * [taylor]: Taking taylor expansion of m in n 1.287 * [backup-simplify]: Simplify m into m 1.287 * [taylor]: Taking taylor expansion of M in n 1.287 * [backup-simplify]: Simplify M into M 1.287 * [backup-simplify]: Simplify (* K 0) into 0 1.287 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.287 * [backup-simplify]: Simplify (* K m) into (* K m) 1.287 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.287 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.287 * [backup-simplify]: Simplify (- M) into (- M) 1.287 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.287 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.287 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.287 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.287 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.287 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.288 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.288 * [taylor]: Taking taylor expansion of 1/2 in m 1.288 * [backup-simplify]: Simplify 1/2 into 1/2 1.288 * [taylor]: Taking taylor expansion of (* K n) in m 1.288 * [taylor]: Taking taylor expansion of K in m 1.288 * [backup-simplify]: Simplify K into K 1.288 * [taylor]: Taking taylor expansion of n in m 1.288 * [backup-simplify]: Simplify n into n 1.288 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.288 * [taylor]: Taking taylor expansion of 1/2 in m 1.288 * [backup-simplify]: Simplify 1/2 into 1/2 1.288 * [taylor]: Taking taylor expansion of (* K m) in m 1.288 * [taylor]: Taking taylor expansion of K in m 1.288 * [backup-simplify]: Simplify K into K 1.288 * [taylor]: Taking taylor expansion of m in m 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [taylor]: Taking taylor expansion of M in m 1.288 * [backup-simplify]: Simplify M into M 1.288 * [backup-simplify]: Simplify (* K n) into (* K n) 1.288 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.288 * [backup-simplify]: Simplify (* K 0) into 0 1.288 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.288 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.288 * [backup-simplify]: Simplify (- M) into (- M) 1.288 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.288 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.288 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.289 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.289 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.289 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.289 * [taylor]: Taking taylor expansion of 1/2 in m 1.289 * [backup-simplify]: Simplify 1/2 into 1/2 1.289 * [taylor]: Taking taylor expansion of (* K n) in m 1.289 * [taylor]: Taking taylor expansion of K in m 1.289 * [backup-simplify]: Simplify K into K 1.289 * [taylor]: Taking taylor expansion of n in m 1.289 * [backup-simplify]: Simplify n into n 1.289 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.289 * [taylor]: Taking taylor expansion of 1/2 in m 1.289 * [backup-simplify]: Simplify 1/2 into 1/2 1.289 * [taylor]: Taking taylor expansion of (* K m) in m 1.289 * [taylor]: Taking taylor expansion of K in m 1.289 * [backup-simplify]: Simplify K into K 1.289 * [taylor]: Taking taylor expansion of m in m 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [taylor]: Taking taylor expansion of M in m 1.289 * [backup-simplify]: Simplify M into M 1.289 * [backup-simplify]: Simplify (* K n) into (* K n) 1.289 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.289 * [backup-simplify]: Simplify (* K 0) into 0 1.289 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.289 * [backup-simplify]: Simplify (- M) into (- M) 1.289 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.289 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.290 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.290 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 1.290 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 1.290 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.290 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.290 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.290 * [taylor]: Taking taylor expansion of 1/2 in n 1.290 * [backup-simplify]: Simplify 1/2 into 1/2 1.290 * [taylor]: Taking taylor expansion of (* K n) in n 1.290 * [taylor]: Taking taylor expansion of K in n 1.290 * [backup-simplify]: Simplify K into K 1.290 * [taylor]: Taking taylor expansion of n in n 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of M in n 1.290 * [backup-simplify]: Simplify M into M 1.290 * [backup-simplify]: Simplify (* K 0) into 0 1.291 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.291 * [backup-simplify]: Simplify (- M) into (- M) 1.291 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.291 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.291 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.291 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.291 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.291 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.291 * [taylor]: Taking taylor expansion of (- M) in K 1.291 * [taylor]: Taking taylor expansion of M in K 1.291 * [backup-simplify]: Simplify M into M 1.291 * [backup-simplify]: Simplify (- M) into (- M) 1.291 * [backup-simplify]: Simplify (- M) into (- M) 1.291 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.291 * [backup-simplify]: Simplify (- M) into (- M) 1.291 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.292 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.292 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.292 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.292 * [taylor]: Taking taylor expansion of (- M) in M 1.292 * [taylor]: Taking taylor expansion of M in M 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.293 * [backup-simplify]: Simplify (- 1) into -1 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (+ 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 1.293 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.294 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.294 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.294 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.295 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 1.295 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.295 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.295 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 1.295 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 1.295 * [taylor]: Taking taylor expansion of 1/2 in n 1.295 * [backup-simplify]: Simplify 1/2 into 1/2 1.295 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 1.295 * [taylor]: Taking taylor expansion of K in n 1.295 * [backup-simplify]: Simplify K into K 1.295 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 1.295 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.295 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.295 * [taylor]: Taking taylor expansion of 1/2 in n 1.296 * [backup-simplify]: Simplify 1/2 into 1/2 1.296 * [taylor]: Taking taylor expansion of (* K n) in n 1.296 * [taylor]: Taking taylor expansion of K in n 1.296 * [backup-simplify]: Simplify K into K 1.296 * [taylor]: Taking taylor expansion of n in n 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [taylor]: Taking taylor expansion of M in n 1.296 * [backup-simplify]: Simplify M into M 1.296 * [backup-simplify]: Simplify (* K 0) into 0 1.296 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.296 * [backup-simplify]: Simplify (- M) into (- M) 1.296 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.296 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.296 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.296 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.296 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.296 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.296 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 1.296 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 1.296 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.296 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.296 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.296 * [taylor]: Taking taylor expansion of 1/2 in K 1.296 * [backup-simplify]: Simplify 1/2 into 1/2 1.296 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.297 * [taylor]: Taking taylor expansion of K in K 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.297 * [taylor]: Taking taylor expansion of (- M) in K 1.297 * [taylor]: Taking taylor expansion of M in K 1.297 * [backup-simplify]: Simplify M into M 1.297 * [backup-simplify]: Simplify (- M) into (- M) 1.297 * [backup-simplify]: Simplify (- M) into (- M) 1.297 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.297 * [backup-simplify]: Simplify (- M) into (- M) 1.297 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.297 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.297 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.297 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.297 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.297 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.297 * [backup-simplify]: Simplify (- 0) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in M 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify (+ 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.298 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.299 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.299 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 1.299 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.300 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 1.300 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.300 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.300 * [taylor]: Taking taylor expansion of 1/2 in K 1.300 * [backup-simplify]: Simplify 1/2 into 1/2 1.300 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.300 * [taylor]: Taking taylor expansion of K in K 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 1 into 1 1.300 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.300 * [taylor]: Taking taylor expansion of (- M) in K 1.300 * [taylor]: Taking taylor expansion of M in K 1.300 * [backup-simplify]: Simplify M into M 1.300 * [backup-simplify]: Simplify (- M) into (- M) 1.300 * [backup-simplify]: Simplify (- M) into (- M) 1.300 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.300 * [backup-simplify]: Simplify (- M) into (- M) 1.300 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.300 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.300 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.300 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.300 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.300 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in M 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (+ 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.303 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.303 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [taylor]: Taking taylor expansion of 0 in M 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (+ 0) into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.304 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 1.305 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.306 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.308 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.308 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) 1.308 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 1.308 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 1.308 * [taylor]: Taking taylor expansion of 1/8 in n 1.308 * [backup-simplify]: Simplify 1/8 into 1/8 1.308 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 1.308 * [taylor]: Taking taylor expansion of (pow K 2) in n 1.308 * [taylor]: Taking taylor expansion of K in n 1.308 * [backup-simplify]: Simplify K into K 1.308 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.308 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.308 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.308 * [taylor]: Taking taylor expansion of 1/2 in n 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of (* K n) in n 1.308 * [taylor]: Taking taylor expansion of K in n 1.309 * [backup-simplify]: Simplify K into K 1.309 * [taylor]: Taking taylor expansion of n in n 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [taylor]: Taking taylor expansion of M in n 1.309 * [backup-simplify]: Simplify M into M 1.309 * [backup-simplify]: Simplify (* K 0) into 0 1.309 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.309 * [backup-simplify]: Simplify (- M) into (- M) 1.309 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.309 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.309 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.309 * [backup-simplify]: Simplify (* K K) into (pow K 2) 1.309 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.309 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.309 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.310 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 1.310 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 1.310 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.310 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.310 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.310 * [taylor]: Taking taylor expansion of 1/8 in K 1.310 * [backup-simplify]: Simplify 1/8 into 1/8 1.310 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.310 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.310 * [taylor]: Taking taylor expansion of K in K 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.310 * [taylor]: Taking taylor expansion of (- M) in K 1.310 * [taylor]: Taking taylor expansion of M in K 1.310 * [backup-simplify]: Simplify M into M 1.310 * [backup-simplify]: Simplify (- M) into (- M) 1.310 * [backup-simplify]: Simplify (- M) into (- M) 1.310 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.310 * [backup-simplify]: Simplify (- M) into (- M) 1.310 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.310 * [backup-simplify]: Simplify (+ 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.311 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.312 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 1.312 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 1.312 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 1.312 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 1.312 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 1.312 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 1.312 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 1.312 * [taylor]: Taking taylor expansion of 1/4 in K 1.312 * [backup-simplify]: Simplify 1/4 into 1/4 1.313 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.313 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.313 * [taylor]: Taking taylor expansion of K in K 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.313 * [taylor]: Taking taylor expansion of (- M) in K 1.313 * [taylor]: Taking taylor expansion of M in K 1.313 * [backup-simplify]: Simplify M into M 1.313 * [backup-simplify]: Simplify (- M) into (- M) 1.313 * [backup-simplify]: Simplify (- M) into (- M) 1.313 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.313 * [backup-simplify]: Simplify (- M) into (- M) 1.313 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.313 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.314 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.315 * [backup-simplify]: Simplify (- 0) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.316 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.316 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.316 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.316 * [taylor]: Taking taylor expansion of 1/8 in K 1.316 * [backup-simplify]: Simplify 1/8 into 1/8 1.316 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.316 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.316 * [taylor]: Taking taylor expansion of K in K 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.316 * [taylor]: Taking taylor expansion of (- M) in K 1.316 * [taylor]: Taking taylor expansion of M in K 1.316 * [backup-simplify]: Simplify M into M 1.316 * [backup-simplify]: Simplify (- M) into (- M) 1.316 * [backup-simplify]: Simplify (- M) into (- M) 1.316 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.316 * [backup-simplify]: Simplify (- M) into (- M) 1.316 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.317 * [backup-simplify]: Simplify (+ 0) into 0 1.317 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.318 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.321 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.321 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.321 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.321 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.321 * [taylor]: Taking taylor expansion of 1/2 in M 1.321 * [backup-simplify]: Simplify 1/2 into 1/2 1.321 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.321 * [taylor]: Taking taylor expansion of (- M) in M 1.321 * [taylor]: Taking taylor expansion of M in M 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (- 1) into -1 1.322 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.322 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ 0) into 0 1.323 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.323 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.324 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.324 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.324 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.324 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.324 * [taylor]: Taking taylor expansion of 1/2 in M 1.324 * [backup-simplify]: Simplify 1/2 into 1/2 1.324 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.324 * [taylor]: Taking taylor expansion of (- M) in M 1.324 * [taylor]: Taking taylor expansion of M in M 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (- 0) into 0 1.325 * [backup-simplify]: Simplify (- 1) into -1 1.325 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.325 * [backup-simplify]: Simplify (- 0) into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.326 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (m n K M) around 0 1.326 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.326 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.326 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.326 * [taylor]: Taking taylor expansion of 1/2 in M 1.326 * [backup-simplify]: Simplify 1/2 into 1/2 1.326 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.326 * [taylor]: Taking taylor expansion of (* m K) in M 1.326 * [taylor]: Taking taylor expansion of m in M 1.326 * [backup-simplify]: Simplify m into m 1.326 * [taylor]: Taking taylor expansion of K in M 1.326 * [backup-simplify]: Simplify K into K 1.326 * [backup-simplify]: Simplify (* m K) into (* m K) 1.326 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.326 * [taylor]: Taking taylor expansion of 1/2 in M 1.326 * [backup-simplify]: Simplify 1/2 into 1/2 1.326 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.326 * [taylor]: Taking taylor expansion of (* K n) in M 1.326 * [taylor]: Taking taylor expansion of K in M 1.326 * [backup-simplify]: Simplify K into K 1.326 * [taylor]: Taking taylor expansion of n in M 1.326 * [backup-simplify]: Simplify n into n 1.326 * [backup-simplify]: Simplify (* K n) into (* K n) 1.326 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.326 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.326 * [taylor]: Taking taylor expansion of M in M 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [backup-simplify]: Simplify (- 1) into -1 1.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.327 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.327 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.327 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.327 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.327 * [taylor]: Taking taylor expansion of 1/2 in K 1.327 * [backup-simplify]: Simplify 1/2 into 1/2 1.327 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.327 * [taylor]: Taking taylor expansion of (* m K) in K 1.327 * [taylor]: Taking taylor expansion of m in K 1.327 * [backup-simplify]: Simplify m into m 1.327 * [taylor]: Taking taylor expansion of K in K 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* m 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.328 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.328 * [taylor]: Taking taylor expansion of 1/2 in K 1.328 * [backup-simplify]: Simplify 1/2 into 1/2 1.328 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.328 * [taylor]: Taking taylor expansion of (* K n) in K 1.328 * [taylor]: Taking taylor expansion of K in K 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [taylor]: Taking taylor expansion of n in K 1.328 * [backup-simplify]: Simplify n into n 1.328 * [backup-simplify]: Simplify (* 0 n) into 0 1.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.328 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.328 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.328 * [taylor]: Taking taylor expansion of M in K 1.328 * [backup-simplify]: Simplify M into M 1.328 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.328 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.328 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.328 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.329 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.329 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.329 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.329 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.329 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.329 * [taylor]: Taking taylor expansion of 1/2 in n 1.329 * [backup-simplify]: Simplify 1/2 into 1/2 1.329 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.329 * [taylor]: Taking taylor expansion of (* m K) in n 1.329 * [taylor]: Taking taylor expansion of m in n 1.329 * [backup-simplify]: Simplify m into m 1.329 * [taylor]: Taking taylor expansion of K in n 1.329 * [backup-simplify]: Simplify K into K 1.329 * [backup-simplify]: Simplify (* m K) into (* m K) 1.329 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.329 * [taylor]: Taking taylor expansion of 1/2 in n 1.329 * [backup-simplify]: Simplify 1/2 into 1/2 1.329 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.329 * [taylor]: Taking taylor expansion of (* K n) in n 1.329 * [taylor]: Taking taylor expansion of K in n 1.329 * [backup-simplify]: Simplify K into K 1.329 * [taylor]: Taking taylor expansion of n in n 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (* K 0) into 0 1.329 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.329 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.330 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.330 * [taylor]: Taking taylor expansion of M in n 1.330 * [backup-simplify]: Simplify M into M 1.330 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.330 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.330 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.330 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.330 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.330 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.330 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.330 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.330 * [taylor]: Taking taylor expansion of 1/2 in m 1.330 * [backup-simplify]: Simplify 1/2 into 1/2 1.330 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.330 * [taylor]: Taking taylor expansion of (* m K) in m 1.330 * [taylor]: Taking taylor expansion of m in m 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of K in m 1.330 * [backup-simplify]: Simplify K into K 1.330 * [backup-simplify]: Simplify (* 0 K) into 0 1.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.330 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.330 * [taylor]: Taking taylor expansion of 1/2 in m 1.331 * [backup-simplify]: Simplify 1/2 into 1/2 1.331 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.331 * [taylor]: Taking taylor expansion of (* K n) in m 1.331 * [taylor]: Taking taylor expansion of K in m 1.331 * [backup-simplify]: Simplify K into K 1.331 * [taylor]: Taking taylor expansion of n in m 1.331 * [backup-simplify]: Simplify n into n 1.331 * [backup-simplify]: Simplify (* K n) into (* K n) 1.331 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.331 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.331 * [taylor]: Taking taylor expansion of M in m 1.331 * [backup-simplify]: Simplify M into M 1.331 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.331 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.331 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.331 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.331 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.331 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.331 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.331 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.331 * [taylor]: Taking taylor expansion of 1/2 in m 1.331 * [backup-simplify]: Simplify 1/2 into 1/2 1.331 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.331 * [taylor]: Taking taylor expansion of (* m K) in m 1.331 * [taylor]: Taking taylor expansion of m in m 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of K in m 1.331 * [backup-simplify]: Simplify K into K 1.331 * [backup-simplify]: Simplify (* 0 K) into 0 1.332 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.332 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.332 * [taylor]: Taking taylor expansion of 1/2 in m 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.332 * [taylor]: Taking taylor expansion of (* K n) in m 1.332 * [taylor]: Taking taylor expansion of K in m 1.332 * [backup-simplify]: Simplify K into K 1.332 * [taylor]: Taking taylor expansion of n in m 1.332 * [backup-simplify]: Simplify n into n 1.332 * [backup-simplify]: Simplify (* K n) into (* K n) 1.332 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.332 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.332 * [taylor]: Taking taylor expansion of M in m 1.332 * [backup-simplify]: Simplify M into M 1.332 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.332 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.332 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.332 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.332 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.332 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.332 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.332 * [taylor]: Taking taylor expansion of 1/2 in n 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.332 * [taylor]: Taking taylor expansion of (* m K) in n 1.332 * [taylor]: Taking taylor expansion of m in n 1.332 * [backup-simplify]: Simplify m into m 1.332 * [taylor]: Taking taylor expansion of K in n 1.332 * [backup-simplify]: Simplify K into K 1.333 * [backup-simplify]: Simplify (* m K) into (* m K) 1.333 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.333 * [taylor]: Taking taylor expansion of 1/2 in n 1.333 * [backup-simplify]: Simplify 1/2 into 1/2 1.333 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.333 * [taylor]: Taking taylor expansion of (* K n) in n 1.333 * [taylor]: Taking taylor expansion of K in n 1.333 * [backup-simplify]: Simplify K into K 1.333 * [taylor]: Taking taylor expansion of n in n 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* K 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.333 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.333 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.333 * [taylor]: Taking taylor expansion of M in n 1.333 * [backup-simplify]: Simplify M into M 1.333 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.333 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.333 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.333 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.333 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.333 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.334 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.334 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.334 * [taylor]: Taking taylor expansion of 1/2 in K 1.334 * [backup-simplify]: Simplify 1/2 into 1/2 1.334 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.334 * [taylor]: Taking taylor expansion of (* m K) in K 1.334 * [taylor]: Taking taylor expansion of m in K 1.334 * [backup-simplify]: Simplify m into m 1.334 * [taylor]: Taking taylor expansion of K in K 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (* m 0) into 0 1.334 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.334 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.334 * [taylor]: Taking taylor expansion of 1/2 in K 1.334 * [backup-simplify]: Simplify 1/2 into 1/2 1.334 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.334 * [taylor]: Taking taylor expansion of (* K n) in K 1.334 * [taylor]: Taking taylor expansion of K in K 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of n in K 1.334 * [backup-simplify]: Simplify n into n 1.334 * [backup-simplify]: Simplify (* 0 n) into 0 1.334 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.335 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.335 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.335 * [taylor]: Taking taylor expansion of M in K 1.335 * [backup-simplify]: Simplify M into M 1.335 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.335 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.335 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.335 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.335 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.335 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.335 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.335 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.335 * [taylor]: Taking taylor expansion of 1/2 in M 1.335 * [backup-simplify]: Simplify 1/2 into 1/2 1.335 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.335 * [taylor]: Taking taylor expansion of (* m K) in M 1.335 * [taylor]: Taking taylor expansion of m in M 1.335 * [backup-simplify]: Simplify m into m 1.335 * [taylor]: Taking taylor expansion of K in M 1.335 * [backup-simplify]: Simplify K into K 1.335 * [backup-simplify]: Simplify (* m K) into (* m K) 1.335 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.335 * [taylor]: Taking taylor expansion of 1/2 in M 1.335 * [backup-simplify]: Simplify 1/2 into 1/2 1.335 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.335 * [taylor]: Taking taylor expansion of (* K n) in M 1.335 * [taylor]: Taking taylor expansion of K in M 1.335 * [backup-simplify]: Simplify K into K 1.335 * [taylor]: Taking taylor expansion of n in M 1.335 * [backup-simplify]: Simplify n into n 1.335 * [backup-simplify]: Simplify (* K n) into (* K n) 1.336 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.336 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.336 * [taylor]: Taking taylor expansion of M in M 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [backup-simplify]: Simplify (- 1) into -1 1.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.337 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.337 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1.337 * [taylor]: Taking taylor expansion of 0 in n 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in K 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in M 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in K 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in M 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in M 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in n 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in K 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in M 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in K 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [taylor]: Taking taylor expansion of 0 in M 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1.338 * [backup-simplify]: Simplify (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.338 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (m n K M) around 0 1.338 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.338 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.338 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.338 * [taylor]: Taking taylor expansion of M in M 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (/ 1 1) into 1 1.338 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.338 * [taylor]: Taking taylor expansion of 1/2 in M 1.338 * [backup-simplify]: Simplify 1/2 into 1/2 1.338 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.338 * [taylor]: Taking taylor expansion of (* m K) in M 1.338 * [taylor]: Taking taylor expansion of m in M 1.338 * [backup-simplify]: Simplify m into m 1.338 * [taylor]: Taking taylor expansion of K in M 1.338 * [backup-simplify]: Simplify K into K 1.338 * [backup-simplify]: Simplify (* m K) into (* m K) 1.338 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.338 * [taylor]: Taking taylor expansion of 1/2 in M 1.338 * [backup-simplify]: Simplify 1/2 into 1/2 1.339 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.339 * [taylor]: Taking taylor expansion of (* K n) in M 1.339 * [taylor]: Taking taylor expansion of K in M 1.339 * [backup-simplify]: Simplify K into K 1.339 * [taylor]: Taking taylor expansion of n in M 1.339 * [backup-simplify]: Simplify n into n 1.339 * [backup-simplify]: Simplify (* K n) into (* K n) 1.339 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.339 * [backup-simplify]: Simplify (+ 1 0) into 1 1.339 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.339 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.339 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.339 * [taylor]: Taking taylor expansion of M in K 1.339 * [backup-simplify]: Simplify M into M 1.339 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.339 * [taylor]: Taking taylor expansion of 1/2 in K 1.339 * [backup-simplify]: Simplify 1/2 into 1/2 1.339 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.339 * [taylor]: Taking taylor expansion of (* m K) in K 1.339 * [taylor]: Taking taylor expansion of m in K 1.339 * [backup-simplify]: Simplify m into m 1.339 * [taylor]: Taking taylor expansion of K in K 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* m 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.340 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.340 * [taylor]: Taking taylor expansion of 1/2 in K 1.340 * [backup-simplify]: Simplify 1/2 into 1/2 1.340 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.340 * [taylor]: Taking taylor expansion of (* K n) in K 1.340 * [taylor]: Taking taylor expansion of K in K 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [taylor]: Taking taylor expansion of n in K 1.340 * [backup-simplify]: Simplify n into n 1.340 * [backup-simplify]: Simplify (* 0 n) into 0 1.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.340 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.340 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.340 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.340 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.340 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.341 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.341 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.341 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.341 * [taylor]: Taking taylor expansion of M in n 1.341 * [backup-simplify]: Simplify M into M 1.341 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.341 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.341 * [taylor]: Taking taylor expansion of 1/2 in n 1.341 * [backup-simplify]: Simplify 1/2 into 1/2 1.341 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.341 * [taylor]: Taking taylor expansion of (* m K) in n 1.341 * [taylor]: Taking taylor expansion of m in n 1.341 * [backup-simplify]: Simplify m into m 1.341 * [taylor]: Taking taylor expansion of K in n 1.341 * [backup-simplify]: Simplify K into K 1.341 * [backup-simplify]: Simplify (* m K) into (* m K) 1.341 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.341 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.341 * [taylor]: Taking taylor expansion of 1/2 in n 1.341 * [backup-simplify]: Simplify 1/2 into 1/2 1.341 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.341 * [taylor]: Taking taylor expansion of (* K n) in n 1.341 * [taylor]: Taking taylor expansion of K in n 1.341 * [backup-simplify]: Simplify K into K 1.341 * [taylor]: Taking taylor expansion of n in n 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (* K 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.342 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.342 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.342 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.342 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.342 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.342 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.342 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.342 * [taylor]: Taking taylor expansion of M in m 1.342 * [backup-simplify]: Simplify M into M 1.342 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.342 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.342 * [taylor]: Taking taylor expansion of 1/2 in m 1.342 * [backup-simplify]: Simplify 1/2 into 1/2 1.342 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.342 * [taylor]: Taking taylor expansion of (* m K) in m 1.342 * [taylor]: Taking taylor expansion of m in m 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [taylor]: Taking taylor expansion of K in m 1.342 * [backup-simplify]: Simplify K into K 1.343 * [backup-simplify]: Simplify (* 0 K) into 0 1.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.343 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.343 * [taylor]: Taking taylor expansion of 1/2 in m 1.343 * [backup-simplify]: Simplify 1/2 into 1/2 1.343 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.343 * [taylor]: Taking taylor expansion of (* K n) in m 1.343 * [taylor]: Taking taylor expansion of K in m 1.343 * [backup-simplify]: Simplify K into K 1.343 * [taylor]: Taking taylor expansion of n in m 1.343 * [backup-simplify]: Simplify n into n 1.343 * [backup-simplify]: Simplify (* K n) into (* K n) 1.343 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.343 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.343 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.344 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.344 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.344 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.344 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.344 * [taylor]: Taking taylor expansion of M in m 1.344 * [backup-simplify]: Simplify M into M 1.344 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.344 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.344 * [taylor]: Taking taylor expansion of 1/2 in m 1.344 * [backup-simplify]: Simplify 1/2 into 1/2 1.344 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.344 * [taylor]: Taking taylor expansion of (* m K) in m 1.344 * [taylor]: Taking taylor expansion of m in m 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [taylor]: Taking taylor expansion of K in m 1.344 * [backup-simplify]: Simplify K into K 1.344 * [backup-simplify]: Simplify (* 0 K) into 0 1.345 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.345 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.345 * [taylor]: Taking taylor expansion of 1/2 in m 1.345 * [backup-simplify]: Simplify 1/2 into 1/2 1.345 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.345 * [taylor]: Taking taylor expansion of (* K n) in m 1.345 * [taylor]: Taking taylor expansion of K in m 1.345 * [backup-simplify]: Simplify K into K 1.345 * [taylor]: Taking taylor expansion of n in m 1.345 * [backup-simplify]: Simplify n into n 1.345 * [backup-simplify]: Simplify (* K n) into (* K n) 1.345 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.345 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.345 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.345 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.345 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.345 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.346 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.346 * [taylor]: Taking taylor expansion of M in n 1.346 * [backup-simplify]: Simplify M into M 1.346 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.346 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.346 * [taylor]: Taking taylor expansion of 1/2 in n 1.346 * [backup-simplify]: Simplify 1/2 into 1/2 1.346 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.346 * [taylor]: Taking taylor expansion of (* m K) in n 1.346 * [taylor]: Taking taylor expansion of m in n 1.346 * [backup-simplify]: Simplify m into m 1.346 * [taylor]: Taking taylor expansion of K in n 1.346 * [backup-simplify]: Simplify K into K 1.346 * [backup-simplify]: Simplify (* m K) into (* m K) 1.346 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.346 * [taylor]: Taking taylor expansion of 1/2 in n 1.346 * [backup-simplify]: Simplify 1/2 into 1/2 1.346 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.346 * [taylor]: Taking taylor expansion of (* K n) in n 1.346 * [taylor]: Taking taylor expansion of K in n 1.346 * [backup-simplify]: Simplify K into K 1.346 * [taylor]: Taking taylor expansion of n in n 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* K 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.346 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.346 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.346 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.346 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.347 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.347 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.347 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.347 * [taylor]: Taking taylor expansion of M in K 1.347 * [backup-simplify]: Simplify M into M 1.347 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.347 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.347 * [taylor]: Taking taylor expansion of 1/2 in K 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.347 * [taylor]: Taking taylor expansion of (* m K) in K 1.347 * [taylor]: Taking taylor expansion of m in K 1.347 * [backup-simplify]: Simplify m into m 1.347 * [taylor]: Taking taylor expansion of K in K 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* m 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.347 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.347 * [taylor]: Taking taylor expansion of 1/2 in K 1.347 * [backup-simplify]: Simplify 1/2 into 1/2 1.347 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.347 * [taylor]: Taking taylor expansion of (* K n) in K 1.347 * [taylor]: Taking taylor expansion of K in K 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [taylor]: Taking taylor expansion of n in K 1.347 * [backup-simplify]: Simplify n into n 1.347 * [backup-simplify]: Simplify (* 0 n) into 0 1.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.348 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.348 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.348 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.348 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.348 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.348 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.348 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.348 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.348 * [taylor]: Taking taylor expansion of M in M 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.349 * [taylor]: Taking taylor expansion of 1/2 in M 1.349 * [backup-simplify]: Simplify 1/2 into 1/2 1.349 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.349 * [taylor]: Taking taylor expansion of (* m K) in M 1.349 * [taylor]: Taking taylor expansion of m in M 1.349 * [backup-simplify]: Simplify m into m 1.349 * [taylor]: Taking taylor expansion of K in M 1.349 * [backup-simplify]: Simplify K into K 1.349 * [backup-simplify]: Simplify (* m K) into (* m K) 1.349 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.349 * [taylor]: Taking taylor expansion of 1/2 in M 1.349 * [backup-simplify]: Simplify 1/2 into 1/2 1.349 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.349 * [taylor]: Taking taylor expansion of (* K n) in M 1.349 * [taylor]: Taking taylor expansion of K in M 1.349 * [backup-simplify]: Simplify K into K 1.349 * [taylor]: Taking taylor expansion of n in M 1.349 * [backup-simplify]: Simplify n into n 1.349 * [backup-simplify]: Simplify (* K n) into (* K n) 1.349 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.349 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.350 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1.350 * [taylor]: Taking taylor expansion of 0 in n 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in K 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in M 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in K 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in M 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in M 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in n 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in K 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in M 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in K 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [taylor]: Taking taylor expansion of 0 in M 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.351 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 1.351 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 1.351 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.351 * [taylor]: Taking taylor expansion of K in K 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of (+ m n) in K 1.351 * [taylor]: Taking taylor expansion of m in K 1.351 * [backup-simplify]: Simplify m into m 1.351 * [taylor]: Taking taylor expansion of n in K 1.351 * [backup-simplify]: Simplify n into n 1.351 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.351 * [taylor]: Taking taylor expansion of K in n 1.351 * [backup-simplify]: Simplify K into K 1.351 * [taylor]: Taking taylor expansion of (+ m n) in n 1.351 * [taylor]: Taking taylor expansion of m in n 1.351 * [backup-simplify]: Simplify m into m 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.351 * [taylor]: Taking taylor expansion of K in m 1.351 * [backup-simplify]: Simplify K into K 1.351 * [taylor]: Taking taylor expansion of (+ m n) in m 1.351 * [taylor]: Taking taylor expansion of m in m 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of n in m 1.351 * [backup-simplify]: Simplify n into n 1.351 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.351 * [taylor]: Taking taylor expansion of K in m 1.351 * [backup-simplify]: Simplify K into K 1.351 * [taylor]: Taking taylor expansion of (+ m n) in m 1.351 * [taylor]: Taking taylor expansion of m in m 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of n in m 1.351 * [backup-simplify]: Simplify n into n 1.351 * [backup-simplify]: Simplify (+ 0 n) into n 1.351 * [backup-simplify]: Simplify (* K n) into (* K n) 1.351 * [taylor]: Taking taylor expansion of (* K n) in n 1.351 * [taylor]: Taking taylor expansion of K in n 1.351 * [backup-simplify]: Simplify K into K 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* K 0) into 0 1.351 * [taylor]: Taking taylor expansion of 0 in K 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ 1 0) into 1 1.352 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 1.352 * [taylor]: Taking taylor expansion of K in n 1.352 * [backup-simplify]: Simplify K into K 1.352 * [taylor]: Taking taylor expansion of K in K 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.352 * [taylor]: Taking taylor expansion of K in K 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in n 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [taylor]: Taking taylor expansion of 0 in K 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [taylor]: Taking taylor expansion of 0 in K 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.353 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.353 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.353 * [taylor]: Taking taylor expansion of m in K 1.353 * [backup-simplify]: Simplify m into m 1.353 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.353 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.353 * [taylor]: Taking taylor expansion of n in K 1.353 * [backup-simplify]: Simplify n into n 1.353 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.353 * [taylor]: Taking taylor expansion of K in K 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.353 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.354 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.354 * [taylor]: Taking taylor expansion of m in n 1.354 * [backup-simplify]: Simplify m into m 1.354 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.354 * [taylor]: Taking taylor expansion of n in n 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (/ 1 1) into 1 1.354 * [taylor]: Taking taylor expansion of K in n 1.354 * [backup-simplify]: Simplify K into K 1.354 * [backup-simplify]: Simplify (+ 0 1) into 1 1.354 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.354 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.354 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.354 * [taylor]: Taking taylor expansion of m in m 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.355 * [taylor]: Taking taylor expansion of n in m 1.355 * [backup-simplify]: Simplify n into n 1.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.355 * [taylor]: Taking taylor expansion of K in m 1.355 * [backup-simplify]: Simplify K into K 1.355 * [backup-simplify]: Simplify (+ 1 0) into 1 1.355 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.355 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.355 * [taylor]: Taking taylor expansion of m in m 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.355 * [taylor]: Taking taylor expansion of n in m 1.355 * [backup-simplify]: Simplify n into n 1.355 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.355 * [taylor]: Taking taylor expansion of K in m 1.355 * [backup-simplify]: Simplify K into K 1.356 * [backup-simplify]: Simplify (+ 1 0) into 1 1.356 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.356 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.356 * [taylor]: Taking taylor expansion of K in n 1.356 * [backup-simplify]: Simplify K into K 1.356 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.356 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.357 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.357 * [taylor]: Taking taylor expansion of (* K n) in n 1.357 * [taylor]: Taking taylor expansion of K in n 1.357 * [backup-simplify]: Simplify K into K 1.357 * [taylor]: Taking taylor expansion of n in n 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* K 0) into 0 1.357 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.357 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.357 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.357 * [taylor]: Taking taylor expansion of K in K 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.357 * [taylor]: Taking taylor expansion of K in K 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (/ 1 1) into 1 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.359 * [taylor]: Taking taylor expansion of 0 in n 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.359 * [taylor]: Taking taylor expansion of 0 in K 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.359 * [taylor]: Taking taylor expansion of 0 in K 1.359 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.361 * [taylor]: Taking taylor expansion of 0 in n 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [taylor]: Taking taylor expansion of 0 in K 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in K 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in K 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 1.364 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.364 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.364 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.364 * [taylor]: Taking taylor expansion of m in K 1.364 * [backup-simplify]: Simplify m into m 1.364 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.364 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.364 * [taylor]: Taking taylor expansion of n in K 1.364 * [backup-simplify]: Simplify n into n 1.364 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.364 * [taylor]: Taking taylor expansion of K in K 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.364 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.364 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.364 * [taylor]: Taking taylor expansion of m in n 1.364 * [backup-simplify]: Simplify m into m 1.364 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.364 * [taylor]: Taking taylor expansion of n in n 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [taylor]: Taking taylor expansion of K in n 1.364 * [backup-simplify]: Simplify K into K 1.365 * [backup-simplify]: Simplify (+ 0 1) into 1 1.365 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.365 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.365 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.365 * [taylor]: Taking taylor expansion of m in m 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.365 * [taylor]: Taking taylor expansion of n in m 1.365 * [backup-simplify]: Simplify n into n 1.365 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.365 * [taylor]: Taking taylor expansion of K in m 1.365 * [backup-simplify]: Simplify K into K 1.365 * [backup-simplify]: Simplify (+ 1 0) into 1 1.366 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.366 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.366 * [taylor]: Taking taylor expansion of m in m 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (/ 1 1) into 1 1.366 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.366 * [taylor]: Taking taylor expansion of n in m 1.366 * [backup-simplify]: Simplify n into n 1.366 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.366 * [taylor]: Taking taylor expansion of K in m 1.366 * [backup-simplify]: Simplify K into K 1.366 * [backup-simplify]: Simplify (+ 1 0) into 1 1.366 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.366 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.366 * [taylor]: Taking taylor expansion of K in n 1.366 * [backup-simplify]: Simplify K into K 1.366 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.367 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.367 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.367 * [taylor]: Taking taylor expansion of (* K n) in n 1.367 * [taylor]: Taking taylor expansion of K in n 1.367 * [backup-simplify]: Simplify K into K 1.367 * [taylor]: Taking taylor expansion of n in n 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* K 0) into 0 1.367 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.367 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.367 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.368 * [taylor]: Taking taylor expansion of K in K 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.368 * [taylor]: Taking taylor expansion of K in K 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.369 * [taylor]: Taking taylor expansion of 0 in n 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.370 * [taylor]: Taking taylor expansion of 0 in K 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.370 * [taylor]: Taking taylor expansion of 0 in K 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.372 * [taylor]: Taking taylor expansion of 0 in n 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [taylor]: Taking taylor expansion of 0 in K 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.372 * [taylor]: Taking taylor expansion of 0 in K 1.372 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.373 * [taylor]: Taking taylor expansion of 0 in K 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 1.374 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.374 * [backup-simplify]: Simplify (- (/ (* (+ m n) K) 2) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.374 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (m n K M) around 0 1.374 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.374 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.374 * [taylor]: Taking taylor expansion of 1/2 in M 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of (* K n) in M 1.374 * [taylor]: Taking taylor expansion of K in M 1.374 * [backup-simplify]: Simplify K into K 1.374 * [taylor]: Taking taylor expansion of n in M 1.374 * [backup-simplify]: Simplify n into n 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.374 * [taylor]: Taking taylor expansion of 1/2 in M 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of (* K m) in M 1.374 * [taylor]: Taking taylor expansion of K in M 1.374 * [backup-simplify]: Simplify K into K 1.374 * [taylor]: Taking taylor expansion of m in M 1.374 * [backup-simplify]: Simplify m into m 1.374 * [taylor]: Taking taylor expansion of M in M 1.374 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.375 * [taylor]: Taking taylor expansion of 1/2 in K 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K n) in K 1.375 * [taylor]: Taking taylor expansion of K in K 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of n in K 1.375 * [backup-simplify]: Simplify n into n 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.375 * [taylor]: Taking taylor expansion of 1/2 in K 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K m) in K 1.375 * [taylor]: Taking taylor expansion of K in K 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of m in K 1.375 * [backup-simplify]: Simplify m into m 1.375 * [taylor]: Taking taylor expansion of M in K 1.375 * [backup-simplify]: Simplify M into M 1.375 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.375 * [taylor]: Taking taylor expansion of 1/2 in n 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K n) in n 1.375 * [taylor]: Taking taylor expansion of K in n 1.375 * [backup-simplify]: Simplify K into K 1.375 * [taylor]: Taking taylor expansion of n in n 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.375 * [taylor]: Taking taylor expansion of 1/2 in n 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K m) in n 1.375 * [taylor]: Taking taylor expansion of K in n 1.375 * [backup-simplify]: Simplify K into K 1.375 * [taylor]: Taking taylor expansion of m in n 1.375 * [backup-simplify]: Simplify m into m 1.375 * [taylor]: Taking taylor expansion of M in n 1.375 * [backup-simplify]: Simplify M into M 1.375 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.375 * [taylor]: Taking taylor expansion of 1/2 in m 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K n) in m 1.375 * [taylor]: Taking taylor expansion of K in m 1.375 * [backup-simplify]: Simplify K into K 1.375 * [taylor]: Taking taylor expansion of n in m 1.375 * [backup-simplify]: Simplify n into n 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.375 * [taylor]: Taking taylor expansion of 1/2 in m 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K m) in m 1.375 * [taylor]: Taking taylor expansion of K in m 1.375 * [backup-simplify]: Simplify K into K 1.375 * [taylor]: Taking taylor expansion of m in m 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of M in m 1.375 * [backup-simplify]: Simplify M into M 1.375 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.375 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.375 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.375 * [taylor]: Taking taylor expansion of 1/2 in m 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of (* K n) in m 1.376 * [taylor]: Taking taylor expansion of K in m 1.376 * [backup-simplify]: Simplify K into K 1.376 * [taylor]: Taking taylor expansion of n in m 1.376 * [backup-simplify]: Simplify n into n 1.376 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.376 * [taylor]: Taking taylor expansion of 1/2 in m 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of (* K m) in m 1.376 * [taylor]: Taking taylor expansion of K in m 1.376 * [backup-simplify]: Simplify K into K 1.376 * [taylor]: Taking taylor expansion of m in m 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [taylor]: Taking taylor expansion of M in m 1.376 * [backup-simplify]: Simplify M into M 1.376 * [backup-simplify]: Simplify (* K n) into (* K n) 1.376 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.376 * [backup-simplify]: Simplify (* K 0) into 0 1.376 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.376 * [backup-simplify]: Simplify (- M) into (- M) 1.376 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.376 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.376 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.376 * [taylor]: Taking taylor expansion of 1/2 in n 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of (* K n) in n 1.376 * [taylor]: Taking taylor expansion of K in n 1.376 * [backup-simplify]: Simplify K into K 1.376 * [taylor]: Taking taylor expansion of n in n 1.376 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [taylor]: Taking taylor expansion of M in n 1.377 * [backup-simplify]: Simplify M into M 1.377 * [backup-simplify]: Simplify (* K 0) into 0 1.377 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.377 * [backup-simplify]: Simplify (- M) into (- M) 1.377 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.377 * [taylor]: Taking taylor expansion of (- M) in K 1.377 * [taylor]: Taking taylor expansion of M in K 1.377 * [backup-simplify]: Simplify M into M 1.377 * [backup-simplify]: Simplify (- M) into (- M) 1.377 * [taylor]: Taking taylor expansion of (- M) in M 1.377 * [taylor]: Taking taylor expansion of M in M 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.378 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.378 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.378 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.378 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.379 * [taylor]: Taking taylor expansion of (* 1/2 K) in n 1.379 * [taylor]: Taking taylor expansion of 1/2 in n 1.379 * [backup-simplify]: Simplify 1/2 into 1/2 1.379 * [taylor]: Taking taylor expansion of K in n 1.379 * [backup-simplify]: Simplify K into K 1.379 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.379 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.379 * [taylor]: Taking taylor expansion of 1/2 in K 1.379 * [backup-simplify]: Simplify 1/2 into 1/2 1.379 * [taylor]: Taking taylor expansion of K in K 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.379 * [taylor]: Taking taylor expansion of 0 in M 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.380 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.380 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.380 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.380 * [taylor]: Taking taylor expansion of 1/2 in K 1.380 * [backup-simplify]: Simplify 1/2 into 1/2 1.380 * [taylor]: Taking taylor expansion of K in K 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.380 * [taylor]: Taking taylor expansion of 0 in M 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [taylor]: Taking taylor expansion of 0 in M 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (- 1) into -1 1.381 * [backup-simplify]: Simplify -1 into -1 1.381 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [taylor]: Taking taylor expansion of 0 in n 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [taylor]: Taking taylor expansion of 0 in K 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [taylor]: Taking taylor expansion of 0 in M 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.384 * [taylor]: Taking taylor expansion of 0 in K 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [taylor]: Taking taylor expansion of 0 in M 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in K 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in M 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.386 * [taylor]: Taking taylor expansion of 1/2 in M 1.386 * [backup-simplify]: Simplify 1/2 into 1/2 1.386 * [backup-simplify]: Simplify 1/2 into 1/2 1.386 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.386 * [taylor]: Taking taylor expansion of 1/2 in M 1.386 * [backup-simplify]: Simplify 1/2 into 1/2 1.386 * [backup-simplify]: Simplify 1/2 into 1/2 1.387 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* K (* n 1)))) (+ (* 1/2 (* 1 (* K (* 1 m)))) (* -1 (* M (* 1 (* 1 1)))))) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.387 * [backup-simplify]: Simplify (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 1.387 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (m n K M) around 0 1.387 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.387 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.387 * [taylor]: Taking taylor expansion of 1/2 in M 1.387 * [backup-simplify]: Simplify 1/2 into 1/2 1.387 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.387 * [taylor]: Taking taylor expansion of (* m K) in M 1.387 * [taylor]: Taking taylor expansion of m in M 1.387 * [backup-simplify]: Simplify m into m 1.387 * [taylor]: Taking taylor expansion of K in M 1.387 * [backup-simplify]: Simplify K into K 1.387 * [backup-simplify]: Simplify (* m K) into (* m K) 1.387 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.387 * [taylor]: Taking taylor expansion of 1/2 in M 1.388 * [backup-simplify]: Simplify 1/2 into 1/2 1.388 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.388 * [taylor]: Taking taylor expansion of (* K n) in M 1.388 * [taylor]: Taking taylor expansion of K in M 1.388 * [backup-simplify]: Simplify K into K 1.388 * [taylor]: Taking taylor expansion of n in M 1.388 * [backup-simplify]: Simplify n into n 1.388 * [backup-simplify]: Simplify (* K n) into (* K n) 1.388 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.388 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.388 * [taylor]: Taking taylor expansion of M in M 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.388 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.388 * [taylor]: Taking taylor expansion of 1/2 in K 1.388 * [backup-simplify]: Simplify 1/2 into 1/2 1.388 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.388 * [taylor]: Taking taylor expansion of (* m K) in K 1.388 * [taylor]: Taking taylor expansion of m in K 1.388 * [backup-simplify]: Simplify m into m 1.388 * [taylor]: Taking taylor expansion of K in K 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* m 0) into 0 1.388 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.388 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.389 * [taylor]: Taking taylor expansion of 1/2 in K 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.389 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.389 * [taylor]: Taking taylor expansion of (* K n) in K 1.389 * [taylor]: Taking taylor expansion of K in K 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [taylor]: Taking taylor expansion of n in K 1.389 * [backup-simplify]: Simplify n into n 1.389 * [backup-simplify]: Simplify (* 0 n) into 0 1.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.389 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.389 * [taylor]: Taking taylor expansion of M in K 1.389 * [backup-simplify]: Simplify M into M 1.389 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.389 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.389 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.389 * [taylor]: Taking taylor expansion of 1/2 in n 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.389 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.389 * [taylor]: Taking taylor expansion of (* m K) in n 1.389 * [taylor]: Taking taylor expansion of m in n 1.389 * [backup-simplify]: Simplify m into m 1.389 * [taylor]: Taking taylor expansion of K in n 1.389 * [backup-simplify]: Simplify K into K 1.389 * [backup-simplify]: Simplify (* m K) into (* m K) 1.389 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.389 * [taylor]: Taking taylor expansion of 1/2 in n 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.389 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.389 * [taylor]: Taking taylor expansion of (* K n) in n 1.389 * [taylor]: Taking taylor expansion of K in n 1.389 * [backup-simplify]: Simplify K into K 1.389 * [taylor]: Taking taylor expansion of n in n 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (* K 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.390 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.390 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.390 * [taylor]: Taking taylor expansion of M in n 1.390 * [backup-simplify]: Simplify M into M 1.390 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.390 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.390 * [taylor]: Taking taylor expansion of 1/2 in m 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.390 * [taylor]: Taking taylor expansion of (* m K) in m 1.390 * [taylor]: Taking taylor expansion of m in m 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of K in m 1.390 * [backup-simplify]: Simplify K into K 1.390 * [backup-simplify]: Simplify (* 0 K) into 0 1.390 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.390 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.390 * [taylor]: Taking taylor expansion of 1/2 in m 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.390 * [taylor]: Taking taylor expansion of (* K n) in m 1.390 * [taylor]: Taking taylor expansion of K in m 1.391 * [backup-simplify]: Simplify K into K 1.391 * [taylor]: Taking taylor expansion of n in m 1.391 * [backup-simplify]: Simplify n into n 1.391 * [backup-simplify]: Simplify (* K n) into (* K n) 1.391 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.391 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.391 * [taylor]: Taking taylor expansion of M in m 1.391 * [backup-simplify]: Simplify M into M 1.391 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.391 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.391 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.391 * [taylor]: Taking taylor expansion of 1/2 in m 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.391 * [taylor]: Taking taylor expansion of (* m K) in m 1.391 * [taylor]: Taking taylor expansion of m in m 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [taylor]: Taking taylor expansion of K in m 1.391 * [backup-simplify]: Simplify K into K 1.391 * [backup-simplify]: Simplify (* 0 K) into 0 1.391 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.391 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.391 * [taylor]: Taking taylor expansion of 1/2 in m 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.391 * [taylor]: Taking taylor expansion of (* K n) in m 1.391 * [taylor]: Taking taylor expansion of K in m 1.391 * [backup-simplify]: Simplify K into K 1.391 * [taylor]: Taking taylor expansion of n in m 1.391 * [backup-simplify]: Simplify n into n 1.391 * [backup-simplify]: Simplify (* K n) into (* K n) 1.391 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.391 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.391 * [taylor]: Taking taylor expansion of M in m 1.391 * [backup-simplify]: Simplify M into M 1.392 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.392 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.392 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.392 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.392 * [taylor]: Taking taylor expansion of 1/2 in n 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.392 * [taylor]: Taking taylor expansion of K in n 1.392 * [backup-simplify]: Simplify K into K 1.392 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.393 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.393 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.393 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.393 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (* K n))) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) 1.393 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 1.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.393 * [taylor]: Taking taylor expansion of 1/2 in n 1.393 * [backup-simplify]: Simplify 1/2 into 1/2 1.393 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.393 * [taylor]: Taking taylor expansion of (* K n) in n 1.393 * [taylor]: Taking taylor expansion of K in n 1.393 * [backup-simplify]: Simplify K into K 1.393 * [taylor]: Taking taylor expansion of n in n 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (* K 0) into 0 1.394 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.394 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.394 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.394 * [taylor]: Taking taylor expansion of M in n 1.394 * [backup-simplify]: Simplify M into M 1.394 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.394 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.394 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.394 * [taylor]: Taking taylor expansion of 1/2 in K 1.394 * [backup-simplify]: Simplify 1/2 into 1/2 1.394 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.394 * [taylor]: Taking taylor expansion of K in K 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.395 * [taylor]: Taking taylor expansion of 1/2 in M 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.395 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.395 * [taylor]: Taking taylor expansion of 1/2 in K 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of K in K 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.395 * [taylor]: Taking taylor expansion of 1/2 in M 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [taylor]: Taking taylor expansion of 0 in n 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.399 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.399 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.399 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in K 1.399 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.399 * [taylor]: Taking taylor expansion of M in K 1.399 * [backup-simplify]: Simplify M into M 1.399 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.399 * [taylor]: Taking taylor expansion of 0 in K 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.400 * [taylor]: Taking taylor expansion of 0 in M 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in M 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1/2 into 1/2 1.401 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.403 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.404 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [taylor]: Taking taylor expansion of 0 in n 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [taylor]: Taking taylor expansion of 0 in K 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.406 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [taylor]: Taking taylor expansion of 0 in K 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.407 * [taylor]: Taking taylor expansion of 0 in K 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.407 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.407 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.407 * [taylor]: Taking taylor expansion of M in M 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [backup-simplify]: Simplify (- 1) into -1 1.407 * [backup-simplify]: Simplify -1 into -1 1.408 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m)))))) (* 1/2 (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))))) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.408 * [backup-simplify]: Simplify (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 1.408 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (m n K M) around 0 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.408 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.408 * [taylor]: Taking taylor expansion of M in M 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.408 * [taylor]: Taking taylor expansion of 1/2 in M 1.408 * [backup-simplify]: Simplify 1/2 into 1/2 1.409 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.409 * [taylor]: Taking taylor expansion of (* m K) in M 1.409 * [taylor]: Taking taylor expansion of m in M 1.409 * [backup-simplify]: Simplify m into m 1.409 * [taylor]: Taking taylor expansion of K in M 1.409 * [backup-simplify]: Simplify K into K 1.409 * [backup-simplify]: Simplify (* m K) into (* m K) 1.409 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.409 * [taylor]: Taking taylor expansion of 1/2 in M 1.409 * [backup-simplify]: Simplify 1/2 into 1/2 1.409 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.409 * [taylor]: Taking taylor expansion of (* K n) in M 1.409 * [taylor]: Taking taylor expansion of K in M 1.409 * [backup-simplify]: Simplify K into K 1.409 * [taylor]: Taking taylor expansion of n in M 1.409 * [backup-simplify]: Simplify n into n 1.409 * [backup-simplify]: Simplify (* K n) into (* K n) 1.409 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.409 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.409 * [taylor]: Taking taylor expansion of M in K 1.409 * [backup-simplify]: Simplify M into M 1.409 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.409 * [taylor]: Taking taylor expansion of 1/2 in K 1.409 * [backup-simplify]: Simplify 1/2 into 1/2 1.409 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.409 * [taylor]: Taking taylor expansion of (* m K) in K 1.409 * [taylor]: Taking taylor expansion of m in K 1.409 * [backup-simplify]: Simplify m into m 1.409 * [taylor]: Taking taylor expansion of K in K 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 1 into 1 1.409 * [backup-simplify]: Simplify (* m 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.409 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.409 * [taylor]: Taking taylor expansion of 1/2 in K 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.410 * [taylor]: Taking taylor expansion of (* K n) in K 1.410 * [taylor]: Taking taylor expansion of K in K 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [taylor]: Taking taylor expansion of n in K 1.410 * [backup-simplify]: Simplify n into n 1.410 * [backup-simplify]: Simplify (* 0 n) into 0 1.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.410 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.410 * [taylor]: Taking taylor expansion of M in n 1.410 * [backup-simplify]: Simplify M into M 1.410 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.410 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.410 * [taylor]: Taking taylor expansion of 1/2 in n 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.410 * [taylor]: Taking taylor expansion of (* m K) in n 1.410 * [taylor]: Taking taylor expansion of m in n 1.410 * [backup-simplify]: Simplify m into m 1.410 * [taylor]: Taking taylor expansion of K in n 1.410 * [backup-simplify]: Simplify K into K 1.410 * [backup-simplify]: Simplify (* m K) into (* m K) 1.410 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.410 * [taylor]: Taking taylor expansion of 1/2 in n 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.410 * [taylor]: Taking taylor expansion of (* K n) in n 1.410 * [taylor]: Taking taylor expansion of K in n 1.410 * [backup-simplify]: Simplify K into K 1.410 * [taylor]: Taking taylor expansion of n in n 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* K 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.411 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.411 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.411 * [taylor]: Taking taylor expansion of M in m 1.411 * [backup-simplify]: Simplify M into M 1.411 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.411 * [taylor]: Taking taylor expansion of 1/2 in m 1.411 * [backup-simplify]: Simplify 1/2 into 1/2 1.411 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.411 * [taylor]: Taking taylor expansion of (* m K) in m 1.411 * [taylor]: Taking taylor expansion of m in m 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [taylor]: Taking taylor expansion of K in m 1.411 * [backup-simplify]: Simplify K into K 1.411 * [backup-simplify]: Simplify (* 0 K) into 0 1.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.411 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.411 * [taylor]: Taking taylor expansion of 1/2 in m 1.411 * [backup-simplify]: Simplify 1/2 into 1/2 1.411 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.411 * [taylor]: Taking taylor expansion of (* K n) in m 1.411 * [taylor]: Taking taylor expansion of K in m 1.411 * [backup-simplify]: Simplify K into K 1.411 * [taylor]: Taking taylor expansion of n in m 1.411 * [backup-simplify]: Simplify n into n 1.412 * [backup-simplify]: Simplify (* K n) into (* K n) 1.412 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.412 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.412 * [taylor]: Taking taylor expansion of M in m 1.412 * [backup-simplify]: Simplify M into M 1.412 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.412 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.412 * [taylor]: Taking taylor expansion of 1/2 in m 1.412 * [backup-simplify]: Simplify 1/2 into 1/2 1.412 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.412 * [taylor]: Taking taylor expansion of (* m K) in m 1.412 * [taylor]: Taking taylor expansion of m in m 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [taylor]: Taking taylor expansion of K in m 1.412 * [backup-simplify]: Simplify K into K 1.412 * [backup-simplify]: Simplify (* 0 K) into 0 1.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.412 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.412 * [taylor]: Taking taylor expansion of 1/2 in m 1.412 * [backup-simplify]: Simplify 1/2 into 1/2 1.412 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.412 * [taylor]: Taking taylor expansion of (* K n) in m 1.412 * [taylor]: Taking taylor expansion of K in m 1.412 * [backup-simplify]: Simplify K into K 1.412 * [taylor]: Taking taylor expansion of n in m 1.412 * [backup-simplify]: Simplify n into n 1.412 * [backup-simplify]: Simplify (* K n) into (* K n) 1.412 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.413 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.413 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.413 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.413 * [taylor]: Taking taylor expansion of 1/2 in n 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.413 * [taylor]: Taking taylor expansion of K in n 1.413 * [backup-simplify]: Simplify K into K 1.413 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.414 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.414 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.414 * [backup-simplify]: Simplify (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) into (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 1.414 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.414 * [taylor]: Taking taylor expansion of M in n 1.414 * [backup-simplify]: Simplify M into M 1.414 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.414 * [taylor]: Taking taylor expansion of 1/2 in n 1.414 * [backup-simplify]: Simplify 1/2 into 1/2 1.414 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.414 * [taylor]: Taking taylor expansion of (* K n) in n 1.414 * [taylor]: Taking taylor expansion of K in n 1.414 * [backup-simplify]: Simplify K into K 1.414 * [taylor]: Taking taylor expansion of n in n 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* K 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.414 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.415 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.415 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.415 * [taylor]: Taking taylor expansion of 1/2 in K 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.415 * [taylor]: Taking taylor expansion of K in K 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.415 * [taylor]: Taking taylor expansion of 1/2 in M 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.415 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.415 * [taylor]: Taking taylor expansion of 1/2 in K 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.415 * [taylor]: Taking taylor expansion of K in K 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.416 * [taylor]: Taking taylor expansion of 1/2 in M 1.416 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [taylor]: Taking taylor expansion of 0 in n 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.421 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.421 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.421 * [taylor]: Taking taylor expansion of M in K 1.421 * [backup-simplify]: Simplify M into M 1.421 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.422 * [taylor]: Taking taylor expansion of 0 in K 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.423 * [taylor]: Taking taylor expansion of 0 in M 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.424 * [taylor]: Taking taylor expansion of 0 in M 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [taylor]: Taking taylor expansion of 0 in n 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [taylor]: Taking taylor expansion of 0 in K 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [taylor]: Taking taylor expansion of 0 in K 1.429 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.430 * [taylor]: Taking taylor expansion of 0 in K 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.430 * [taylor]: Taking taylor expansion of M in M 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1)))) (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m))))))) (* 1/2 (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))))) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.431 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 1.432 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 1.432 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 1.432 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 1.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.432 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.432 * [taylor]: Taking taylor expansion of 1/2 in M 1.432 * [backup-simplify]: Simplify 1/2 into 1/2 1.432 * [taylor]: Taking taylor expansion of m in M 1.432 * [backup-simplify]: Simplify m into m 1.432 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.432 * [taylor]: Taking taylor expansion of 1/2 in M 1.432 * [backup-simplify]: Simplify 1/2 into 1/2 1.432 * [taylor]: Taking taylor expansion of n in M 1.432 * [backup-simplify]: Simplify n into n 1.432 * [taylor]: Taking taylor expansion of M in M 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.432 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.432 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 1.432 * [backup-simplify]: Simplify (- 0) into 0 1.432 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.432 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 1.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.432 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.432 * [taylor]: Taking taylor expansion of 1/2 in n 1.432 * [backup-simplify]: Simplify 1/2 into 1/2 1.432 * [taylor]: Taking taylor expansion of m in n 1.432 * [backup-simplify]: Simplify m into m 1.432 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.432 * [taylor]: Taking taylor expansion of 1/2 in n 1.432 * [backup-simplify]: Simplify 1/2 into 1/2 1.432 * [taylor]: Taking taylor expansion of n in n 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [taylor]: Taking taylor expansion of M in n 1.433 * [backup-simplify]: Simplify M into M 1.433 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.433 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 1.433 * [backup-simplify]: Simplify (- M) into (- M) 1.433 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 1.433 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.433 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.433 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.433 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.433 * [taylor]: Taking taylor expansion of 1/2 in m 1.433 * [backup-simplify]: Simplify 1/2 into 1/2 1.433 * [taylor]: Taking taylor expansion of m in m 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.433 * [taylor]: Taking taylor expansion of 1/2 in m 1.433 * [backup-simplify]: Simplify 1/2 into 1/2 1.433 * [taylor]: Taking taylor expansion of n in m 1.433 * [backup-simplify]: Simplify n into n 1.433 * [taylor]: Taking taylor expansion of M in m 1.433 * [backup-simplify]: Simplify M into M 1.433 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.433 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.434 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.434 * [backup-simplify]: Simplify (- M) into (- M) 1.434 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.434 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.434 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.434 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.434 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.434 * [taylor]: Taking taylor expansion of 1/2 in m 1.434 * [backup-simplify]: Simplify 1/2 into 1/2 1.434 * [taylor]: Taking taylor expansion of m in m 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.434 * [taylor]: Taking taylor expansion of 1/2 in m 1.434 * [backup-simplify]: Simplify 1/2 into 1/2 1.434 * [taylor]: Taking taylor expansion of n in m 1.434 * [backup-simplify]: Simplify n into n 1.434 * [taylor]: Taking taylor expansion of M in m 1.434 * [backup-simplify]: Simplify M into M 1.434 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.434 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.434 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.434 * [backup-simplify]: Simplify (- M) into (- M) 1.434 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.434 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.434 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 1.435 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.435 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.435 * [taylor]: Taking taylor expansion of 1/2 in n 1.435 * [backup-simplify]: Simplify 1/2 into 1/2 1.435 * [taylor]: Taking taylor expansion of n in n 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [taylor]: Taking taylor expansion of M in n 1.435 * [backup-simplify]: Simplify M into M 1.435 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.435 * [backup-simplify]: Simplify (- M) into (- M) 1.435 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.435 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 1.435 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.435 * [taylor]: Taking taylor expansion of M in M 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.436 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.437 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.437 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.437 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.437 * [taylor]: Taking taylor expansion of 1/2 in n 1.437 * [backup-simplify]: Simplify 1/2 into 1/2 1.437 * [taylor]: Taking taylor expansion of n in n 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [taylor]: Taking taylor expansion of M in n 1.437 * [backup-simplify]: Simplify M into M 1.437 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.437 * [backup-simplify]: Simplify (- M) into (- M) 1.437 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.437 * [taylor]: Taking taylor expansion of (- M) in M 1.437 * [taylor]: Taking taylor expansion of M in M 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.439 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 1.439 * [taylor]: Taking taylor expansion of (- M) in M 1.439 * [taylor]: Taking taylor expansion of M in M 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (- 0) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.441 * [taylor]: Taking taylor expansion of 1/4 in n 1.441 * [backup-simplify]: Simplify 1/4 into 1/4 1.441 * [taylor]: Taking taylor expansion of 1/4 in M 1.441 * [backup-simplify]: Simplify 1/4 into 1/4 1.441 * [backup-simplify]: Simplify 1/4 into 1/4 1.441 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.442 * [backup-simplify]: Simplify (- 0) into 0 1.442 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.442 * [taylor]: Taking taylor expansion of 1/2 in M 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 1.444 * [taylor]: Taking taylor expansion of 1/4 in M 1.444 * [backup-simplify]: Simplify 1/4 into 1/4 1.444 * [backup-simplify]: Simplify 1/4 into 1/4 1.444 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 1.444 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 1.444 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 1.444 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 1.444 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.444 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.444 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.444 * [taylor]: Taking taylor expansion of 1/2 in M 1.444 * [backup-simplify]: Simplify 1/2 into 1/2 1.444 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.444 * [taylor]: Taking taylor expansion of m in M 1.444 * [backup-simplify]: Simplify m into m 1.444 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.445 * [taylor]: Taking taylor expansion of 1/2 in M 1.445 * [backup-simplify]: Simplify 1/2 into 1/2 1.445 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.445 * [taylor]: Taking taylor expansion of n in M 1.445 * [backup-simplify]: Simplify n into n 1.445 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.445 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.445 * [taylor]: Taking taylor expansion of M in M 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [backup-simplify]: Simplify (- 1) into -1 1.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.445 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 1.445 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.445 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.446 * [taylor]: Taking taylor expansion of 1/2 in n 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.446 * [taylor]: Taking taylor expansion of m in n 1.446 * [backup-simplify]: Simplify m into m 1.446 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.446 * [taylor]: Taking taylor expansion of 1/2 in n 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.446 * [taylor]: Taking taylor expansion of n in n 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.446 * [taylor]: Taking taylor expansion of M in n 1.446 * [backup-simplify]: Simplify M into M 1.446 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.446 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.447 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.447 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.447 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.447 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.447 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.447 * [taylor]: Taking taylor expansion of 1/2 in m 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.447 * [taylor]: Taking taylor expansion of m in m 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.447 * [taylor]: Taking taylor expansion of 1/2 in m 1.447 * [backup-simplify]: Simplify 1/2 into 1/2 1.447 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.447 * [taylor]: Taking taylor expansion of n in m 1.447 * [backup-simplify]: Simplify n into n 1.447 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.447 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.447 * [taylor]: Taking taylor expansion of M in m 1.447 * [backup-simplify]: Simplify M into M 1.447 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.448 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.448 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.448 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.448 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.448 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.448 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.448 * [taylor]: Taking taylor expansion of 1/2 in m 1.448 * [backup-simplify]: Simplify 1/2 into 1/2 1.448 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.448 * [taylor]: Taking taylor expansion of m in m 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (/ 1 1) into 1 1.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.449 * [taylor]: Taking taylor expansion of 1/2 in m 1.449 * [backup-simplify]: Simplify 1/2 into 1/2 1.449 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.449 * [taylor]: Taking taylor expansion of n in m 1.449 * [backup-simplify]: Simplify n into n 1.449 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.449 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.449 * [taylor]: Taking taylor expansion of M in m 1.449 * [backup-simplify]: Simplify M into M 1.449 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.449 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.449 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.450 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.450 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.450 * [taylor]: Taking taylor expansion of 1/4 in n 1.450 * [backup-simplify]: Simplify 1/4 into 1/4 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.451 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.451 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.451 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.451 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.451 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.451 * [taylor]: Taking taylor expansion of 1/2 in n 1.452 * [backup-simplify]: Simplify 1/2 into 1/2 1.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.452 * [taylor]: Taking taylor expansion of n in n 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (/ 1 1) into 1 1.452 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.452 * [taylor]: Taking taylor expansion of M in n 1.452 * [backup-simplify]: Simplify M into M 1.452 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.455 * [backup-simplify]: Simplify (- 0) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.457 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.457 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.457 * [taylor]: Taking taylor expansion of M in n 1.457 * [backup-simplify]: Simplify M into M 1.457 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.457 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.457 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.457 * [taylor]: Taking taylor expansion of 1/4 in n 1.457 * [backup-simplify]: Simplify 1/4 into 1/4 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.457 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.458 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.458 * [taylor]: Taking taylor expansion of (* M n) in n 1.458 * [taylor]: Taking taylor expansion of M in n 1.458 * [backup-simplify]: Simplify M into M 1.458 * [taylor]: Taking taylor expansion of n in n 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* M 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.458 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.458 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.459 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.459 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.459 * [taylor]: Taking taylor expansion of 1/4 in M 1.459 * [backup-simplify]: Simplify 1/4 into 1/4 1.459 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.460 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.460 * [taylor]: Taking taylor expansion of 1/2 in M 1.460 * [backup-simplify]: Simplify 1/2 into 1/2 1.460 * [taylor]: Taking taylor expansion of 1/4 in M 1.460 * [backup-simplify]: Simplify 1/4 into 1/4 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 1.463 * [taylor]: Taking taylor expansion of 0 in n 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.465 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.465 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.465 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.465 * [taylor]: Taking taylor expansion of M in M 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.466 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.466 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.466 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.466 * [taylor]: Taking taylor expansion of M in M 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (/ 1 1) into 1 1.466 * [taylor]: Taking taylor expansion of 0 in M 1.466 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 1.470 * [taylor]: Taking taylor expansion of 0 in n 1.470 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.472 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.472 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.473 * [backup-simplify]: Simplify (- 0) into 0 1.473 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.473 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.473 * [taylor]: Taking taylor expansion of M in M 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.475 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [taylor]: Taking taylor expansion of 0 in M 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [taylor]: Taking taylor expansion of 0 in M 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (- 1) into -1 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [backup-simplify]: Simplify (- 1) into -1 1.475 * [backup-simplify]: Simplify -1 into -1 1.476 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.476 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 1.476 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 1.476 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 1.476 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.476 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.476 * [taylor]: Taking taylor expansion of M in M 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ 1 1) into 1 1.477 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.477 * [taylor]: Taking taylor expansion of 1/2 in M 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.477 * [taylor]: Taking taylor expansion of m in M 1.477 * [backup-simplify]: Simplify m into m 1.477 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.477 * [taylor]: Taking taylor expansion of 1/2 in M 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.477 * [taylor]: Taking taylor expansion of n in M 1.477 * [backup-simplify]: Simplify n into n 1.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.477 * [backup-simplify]: Simplify (+ 1 0) into 1 1.477 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 1.477 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.477 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.477 * [taylor]: Taking taylor expansion of M in n 1.477 * [backup-simplify]: Simplify M into M 1.477 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.477 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.477 * [taylor]: Taking taylor expansion of 1/2 in n 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.477 * [taylor]: Taking taylor expansion of m in n 1.477 * [backup-simplify]: Simplify m into m 1.477 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.477 * [taylor]: Taking taylor expansion of 1/2 in n 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.478 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.479 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.479 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.479 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.479 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.479 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.479 * [taylor]: Taking taylor expansion of M in m 1.479 * [backup-simplify]: Simplify M into M 1.479 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.479 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.479 * [taylor]: Taking taylor expansion of 1/2 in m 1.479 * [backup-simplify]: Simplify 1/2 into 1/2 1.479 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.479 * [taylor]: Taking taylor expansion of m in m 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.479 * [taylor]: Taking taylor expansion of 1/2 in m 1.479 * [backup-simplify]: Simplify 1/2 into 1/2 1.479 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.479 * [taylor]: Taking taylor expansion of n in m 1.479 * [backup-simplify]: Simplify n into n 1.479 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.480 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.480 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.480 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.480 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.480 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.481 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.481 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.481 * [taylor]: Taking taylor expansion of M in m 1.481 * [backup-simplify]: Simplify M into M 1.481 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.481 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.481 * [taylor]: Taking taylor expansion of 1/2 in m 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.481 * [taylor]: Taking taylor expansion of m in m 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.481 * [taylor]: Taking taylor expansion of 1/2 in m 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.481 * [taylor]: Taking taylor expansion of n in m 1.481 * [backup-simplify]: Simplify n into n 1.481 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.481 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.482 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.482 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.482 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.482 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.482 * [taylor]: Taking taylor expansion of 1/4 in n 1.482 * [backup-simplify]: Simplify 1/4 into 1/4 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.483 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.484 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.484 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.484 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.484 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.484 * [taylor]: Taking taylor expansion of 1/2 in n 1.484 * [backup-simplify]: Simplify 1/2 into 1/2 1.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.484 * [taylor]: Taking taylor expansion of M in n 1.484 * [backup-simplify]: Simplify M into M 1.484 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.487 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.487 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.487 * [taylor]: Taking taylor expansion of M in n 1.487 * [backup-simplify]: Simplify M into M 1.487 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.487 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.487 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.487 * [taylor]: Taking taylor expansion of 1/4 in n 1.487 * [backup-simplify]: Simplify 1/4 into 1/4 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.488 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.488 * [taylor]: Taking taylor expansion of n in n 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.488 * [taylor]: Taking taylor expansion of (* M n) in n 1.488 * [taylor]: Taking taylor expansion of M in n 1.488 * [backup-simplify]: Simplify M into M 1.488 * [taylor]: Taking taylor expansion of n in n 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (* M 0) into 0 1.488 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.488 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.489 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.489 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.489 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.489 * [taylor]: Taking taylor expansion of 1/4 in M 1.489 * [backup-simplify]: Simplify 1/4 into 1/4 1.490 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.490 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.490 * [taylor]: Taking taylor expansion of 1/2 in M 1.490 * [backup-simplify]: Simplify 1/2 into 1/2 1.490 * [taylor]: Taking taylor expansion of 1/4 in M 1.490 * [backup-simplify]: Simplify 1/4 into 1/4 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in n 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.495 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.495 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.495 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.495 * [taylor]: Taking taylor expansion of M in M 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (/ 1 1) into 1 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.496 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.496 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.496 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.496 * [taylor]: Taking taylor expansion of M in M 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [taylor]: Taking taylor expansion of 0 in M 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 1.500 * [taylor]: Taking taylor expansion of 0 in n 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.503 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.503 * [backup-simplify]: Simplify (- 0) into 0 1.503 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.503 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.503 * [taylor]: Taking taylor expansion of M in M 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [taylor]: Taking taylor expansion of 0 in M 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [taylor]: Taking taylor expansion of 0 in M 1.505 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify (- 1) into -1 1.506 * [backup-simplify]: Simplify -1 into -1 1.506 * [backup-simplify]: Simplify (- 1) into -1 1.506 * [backup-simplify]: Simplify -1 into -1 1.506 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.507 * * * [progress]: simplifying candidates 1.507 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 1.507 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 16 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 1.507 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 1.508 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 1.508 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #real (real->posit16 (- (/ (* (+ m n) K) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 1.509 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 59 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 1.509 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 75 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 1.510 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 1.511 * * * * [progress]: [ 97 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 1.511 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 1.514 * [simplify]: Simplifying: (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) (* (sin (/ (* (+ m n) K) 2)) (sin (- M))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (* (+ m n) K) (+ (log (+ m n)) (log K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K)) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* (+ m n) (* (cbrt K) (cbrt K))) (* (+ m n) (sqrt K)) (* (+ m n) 1) (* (cbrt (+ m n)) K) (* (sqrt (+ m n)) K) (* (+ m n) K) (* (+ m n) K) (* (+ (pow m 3) (pow n 3)) K) (* (- (* m m) (* n n)) K) (real->posit16 (* (+ m n) K)) (/ (exp (/ (* (+ m n) K) 2)) (exp M)) (log (- (/ (* (+ m n) K) 2) M)) (exp (- (/ (* (+ m n) K) 2) M)) (* (cbrt (- (/ (* (+ m n) K) 2) M)) (cbrt (- (/ (* (+ m n) K) 2) M))) (cbrt (- (/ (* (+ m n) K) 2) M)) (* (* (- (/ (* (+ m n) K) 2) M) (- (/ (* (+ m n) K) 2) M)) (- (/ (* (+ m n) K) 2) M)) (sqrt (- (/ (* (+ m n) K) 2) M)) (sqrt (- (/ (* (+ m n) K) 2) M)) (- (pow (/ (* (+ m n) K) 2) 3) (pow M 3)) (+ (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (+ (* M M) (* (/ (* (+ m n) K) 2) M))) (- M) (- (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (* M M)) (+ (/ (* (+ m n) K) 2) M) (+ (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (/ (* (+ m n) K) 2) M) (- M) (real->posit16 (- (/ (* (+ m n) K) 2) M)) (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 0 (+ (* K n) (* K m)) (+ (* K n) (* K m)) (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 1.516 * * [simplify]: iteration 0: 186 enodes 1.561 * * [simplify]: iteration 1: 484 enodes 1.766 * * [simplify]: iteration 2: 1567 enodes 2.158 * * [simplify]: iteration 3: 2000 enodes 2.464 * * [simplify]: iteration complete: 2000 enodes 2.464 * * [simplify]: Extracting #0: cost 79 inf + 0 2.465 * * [simplify]: Extracting #1: cost 365 inf + 3 2.467 * * [simplify]: Extracting #2: cost 564 inf + 713 2.471 * * [simplify]: Extracting #3: cost 491 inf + 16963 2.485 * * [simplify]: Extracting #4: cost 197 inf + 81690 2.509 * * [simplify]: Extracting #5: cost 48 inf + 126402 2.536 * * [simplify]: Extracting #6: cost 27 inf + 134498 2.560 * * [simplify]: Extracting #7: cost 6 inf + 137401 2.599 * * [simplify]: Extracting #8: cost 0 inf + 139243 2.628 * [simplify]: Simplified to: (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (- M)) (sin (* (/ (+ m n) 2) K))) (* (cos (* (/ (+ m n) 2) K)) (cos M)) (* (sin (* (/ (+ m n) 2) K)) (sin M)) (log (cos (- (* (/ (+ m n) 2) K) M))) (exp (cos (- (* (/ (+ m n) 2) K) M))) (* (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (cbrt (cos (- (* (/ (+ m n) 2) K) M)))) (cbrt (cos (- (* (/ (+ m n) 2) K) M))) (* (* (cos (- (* (/ (+ m n) 2) K) M)) (cos (- (* (/ (+ m n) 2) K) M))) (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (sqrt (cos (- (* (/ (+ m n) 2) K) M))) (real->posit16 (cos (- (* (/ (+ m n) 2) K) M))) (* K (+ m n)) (log (* K (+ m n))) (log (* K (+ m n))) (exp (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (sqrt (* K (+ m n))) (sqrt (* K (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* (* (cbrt K) (cbrt K)) (+ m n)) (* (sqrt K) (+ m n)) (+ m n) (* K (cbrt (+ m n))) (* K (sqrt (+ m n))) (* K (+ m n)) (* K (+ m n)) (* K (+ (* n (* n n)) (* m (* m m)))) (* K (* (+ m n) (- m n))) (real->posit16 (* K (+ m n))) (exp (- (* (/ (+ m n) 2) K) M)) (log (- (* (/ (+ m n) 2) K) M)) (exp (- (* (/ (+ m n) 2) K) M)) (* (cbrt (- (* (/ (+ m n) 2) K) M)) (cbrt (- (* (/ (+ m n) 2) K) M))) (cbrt (- (* (/ (+ m n) 2) K) M)) (* (- (* (/ (+ m n) 2) K) M) (* (- (* (/ (+ m n) 2) K) M) (- (* (/ (+ m n) 2) K) M))) (sqrt (- (* (/ (+ m n) 2) K) M)) (sqrt (- (* (/ (+ m n) 2) K) M)) (- (* (* (/ (+ m n) 2) K) (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K))) (* (* M M) M)) (+ (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K)) (* M (+ M (* (/ (+ m n) 2) K)))) (- M) (- (* (* (/ (+ m n) 2) K) (* (/ (+ m n) 2) K)) (* M M)) (+ M (* (/ (+ m n) 2) K)) (+ (sqrt (* (/ (+ m n) 2) K)) (sqrt M)) (- (sqrt (* (/ (+ m n) 2) K)) (sqrt M)) (- (* (/ (+ m n) 2) K) M) (- M) (real->posit16 (- (* (/ (+ m n) 2) K) M)) 2 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 2 (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- (/ (+ m n) 2) M)) (fabs (- (/ (+ m n) 2) M)) (* (- (/ (* (* (+ m n) (+ m n)) (+ m n)) 8) (* (* M M) M)) (- (/ (* (* (+ m n) (+ m n)) (+ m n)) 8) (* (* M M) M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M (+ (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M (+ (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (* (* (+ m n) (+ m n)) (+ m n)) 8) (* (* M M) M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M (+ (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (* (* (+ m n) (+ m n)) (+ m n)) 8) (* (* M M) M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M (+ (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt M) (sqrt (/ (+ m n) 2))) (+ (sqrt M) (sqrt (/ (+ m n) 2)))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (sqrt M) (/ (sqrt (+ m n)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ m n)) (sqrt 2)))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 2 (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (* (+ (sqrt M) (sqrt (/ (+ m n) 2))) (- (/ (+ m n) 2) M)) (* (+ (sqrt M) (/ (sqrt (+ m n)) (sqrt 2))) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (* (* (+ m n) (+ m n)) (+ m n)) 8) (* (* M M) M))) (* (+ (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (* (* (+ m n) (+ m n)) (+ m n)) 8) (* (* M M) M))) (* (+ (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 1 (cos (- (* (* 1/2 K) (+ m n)) M)) (cos (- (* (* 1/2 K) (+ m n)) M)) 0 (* K (+ m n)) (* K (+ m n)) (- (* (* 1/2 K) (+ m n)) M) (- (* (* 1/2 K) (+ m n)) M) (- (* (* 1/2 K) (+ m n)) M) (+ (* (+ (* n n) (* m m)) 1/4) (* m (* n 1/2))) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) 2.646 * * * [progress]: adding candidates to table 3.312 * * [progress]: iteration 2 / 4 3.312 * * * [progress]: picking best candidate 3.361 * * * * [pick]: Picked # 3.361 * * * [progress]: localizing error 3.393 * * * [progress]: generating rewritten candidates 3.393 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 1 2) 3.607 * * * [progress]: generating series expansions 3.607 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 1 2) 3.608 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 3.608 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 3.608 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 3.608 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 3.608 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 3.608 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 3.608 * [taylor]: Taking taylor expansion of 1/2 in M 3.608 * [backup-simplify]: Simplify 1/2 into 1/2 3.608 * [taylor]: Taking taylor expansion of m in M 3.608 * [backup-simplify]: Simplify m into m 3.608 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 3.608 * [taylor]: Taking taylor expansion of 1/2 in M 3.608 * [backup-simplify]: Simplify 1/2 into 1/2 3.608 * [taylor]: Taking taylor expansion of n in M 3.608 * [backup-simplify]: Simplify n into n 3.608 * [taylor]: Taking taylor expansion of M in M 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 3.608 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 3.608 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 3.609 * [backup-simplify]: Simplify (- 0) into 0 3.609 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 3.609 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 3.609 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 3.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 3.609 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 3.609 * [taylor]: Taking taylor expansion of 1/2 in n 3.609 * [backup-simplify]: Simplify 1/2 into 1/2 3.609 * [taylor]: Taking taylor expansion of m in n 3.609 * [backup-simplify]: Simplify m into m 3.609 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 3.609 * [taylor]: Taking taylor expansion of 1/2 in n 3.609 * [backup-simplify]: Simplify 1/2 into 1/2 3.610 * [taylor]: Taking taylor expansion of n in n 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of M in n 3.610 * [backup-simplify]: Simplify M into M 3.610 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 3.610 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.610 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 3.610 * [backup-simplify]: Simplify (- M) into (- M) 3.610 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 3.610 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 3.611 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 3.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 3.611 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 3.611 * [taylor]: Taking taylor expansion of 1/2 in m 3.611 * [backup-simplify]: Simplify 1/2 into 1/2 3.611 * [taylor]: Taking taylor expansion of m in m 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 3.611 * [taylor]: Taking taylor expansion of 1/2 in m 3.611 * [backup-simplify]: Simplify 1/2 into 1/2 3.611 * [taylor]: Taking taylor expansion of n in m 3.611 * [backup-simplify]: Simplify n into n 3.611 * [taylor]: Taking taylor expansion of M in m 3.611 * [backup-simplify]: Simplify M into M 3.611 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.611 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 3.612 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 3.612 * [backup-simplify]: Simplify (- M) into (- M) 3.612 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 3.612 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 3.612 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 3.612 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 3.612 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 3.612 * [taylor]: Taking taylor expansion of 1/2 in m 3.612 * [backup-simplify]: Simplify 1/2 into 1/2 3.612 * [taylor]: Taking taylor expansion of m in m 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 3.612 * [taylor]: Taking taylor expansion of 1/2 in m 3.612 * [backup-simplify]: Simplify 1/2 into 1/2 3.612 * [taylor]: Taking taylor expansion of n in m 3.612 * [backup-simplify]: Simplify n into n 3.612 * [taylor]: Taking taylor expansion of M in m 3.612 * [backup-simplify]: Simplify M into M 3.613 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.613 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 3.613 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 3.613 * [backup-simplify]: Simplify (- M) into (- M) 3.613 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 3.613 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 3.613 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 3.613 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 3.613 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 3.613 * [taylor]: Taking taylor expansion of 1/2 in n 3.613 * [backup-simplify]: Simplify 1/2 into 1/2 3.613 * [taylor]: Taking taylor expansion of n in n 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of M in n 3.614 * [backup-simplify]: Simplify M into M 3.614 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.614 * [backup-simplify]: Simplify (- M) into (- M) 3.614 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 3.614 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 3.614 * [taylor]: Taking taylor expansion of (pow M 2) in M 3.614 * [taylor]: Taking taylor expansion of M in M 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 3.616 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.617 * [backup-simplify]: Simplify (- 0) into 0 3.617 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.617 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 3.617 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 3.617 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 3.617 * [taylor]: Taking taylor expansion of 1/2 in n 3.617 * [backup-simplify]: Simplify 1/2 into 1/2 3.617 * [taylor]: Taking taylor expansion of n in n 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 1 into 1 3.618 * [taylor]: Taking taylor expansion of M in n 3.618 * [backup-simplify]: Simplify M into M 3.618 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.618 * [backup-simplify]: Simplify (- M) into (- M) 3.618 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 3.618 * [taylor]: Taking taylor expansion of (- M) in M 3.618 * [taylor]: Taking taylor expansion of M in M 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (- 0) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.622 * [backup-simplify]: Simplify (- 0) into 0 3.622 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.622 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 3.622 * [taylor]: Taking taylor expansion of (- M) in M 3.622 * [taylor]: Taking taylor expansion of M in M 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (- 0) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 3.625 * [backup-simplify]: Simplify (+ 0 0) into 0 3.626 * [backup-simplify]: Simplify (- 0) into 0 3.626 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 3.627 * [taylor]: Taking taylor expansion of 1/4 in n 3.627 * [backup-simplify]: Simplify 1/4 into 1/4 3.627 * [taylor]: Taking taylor expansion of 1/4 in M 3.627 * [backup-simplify]: Simplify 1/4 into 1/4 3.627 * [backup-simplify]: Simplify 1/4 into 1/4 3.628 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.628 * [backup-simplify]: Simplify (- 0) into 0 3.628 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.628 * [taylor]: Taking taylor expansion of 1/2 in M 3.628 * [backup-simplify]: Simplify 1/2 into 1/2 3.628 * [backup-simplify]: Simplify 1/2 into 1/2 3.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.630 * [backup-simplify]: Simplify (- 0) into 0 3.630 * [backup-simplify]: Simplify (+ 0 0) into 0 3.631 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 3.631 * [taylor]: Taking taylor expansion of 1/4 in M 3.631 * [backup-simplify]: Simplify 1/4 into 1/4 3.631 * [backup-simplify]: Simplify 1/4 into 1/4 3.632 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 3.633 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 3.633 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 3.633 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 3.633 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 3.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 3.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 3.633 * [taylor]: Taking taylor expansion of 1/2 in M 3.633 * [backup-simplify]: Simplify 1/2 into 1/2 3.633 * [taylor]: Taking taylor expansion of (/ 1 m) in M 3.633 * [taylor]: Taking taylor expansion of m in M 3.633 * [backup-simplify]: Simplify m into m 3.633 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 3.633 * [taylor]: Taking taylor expansion of 1/2 in M 3.633 * [backup-simplify]: Simplify 1/2 into 1/2 3.633 * [taylor]: Taking taylor expansion of (/ 1 n) in M 3.633 * [taylor]: Taking taylor expansion of n in M 3.633 * [backup-simplify]: Simplify n into n 3.633 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.633 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.633 * [taylor]: Taking taylor expansion of M in M 3.633 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (/ 1 1) into 1 3.635 * [backup-simplify]: Simplify (- 1) into -1 3.635 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.635 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 3.635 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 3.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 3.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 3.635 * [taylor]: Taking taylor expansion of 1/2 in n 3.635 * [backup-simplify]: Simplify 1/2 into 1/2 3.635 * [taylor]: Taking taylor expansion of (/ 1 m) in n 3.635 * [taylor]: Taking taylor expansion of m in n 3.636 * [backup-simplify]: Simplify m into m 3.636 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.636 * [taylor]: Taking taylor expansion of 1/2 in n 3.636 * [backup-simplify]: Simplify 1/2 into 1/2 3.636 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.636 * [taylor]: Taking taylor expansion of n in n 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.636 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.636 * [taylor]: Taking taylor expansion of M in n 3.637 * [backup-simplify]: Simplify M into M 3.637 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.637 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.638 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.638 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.638 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 3.639 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 3.639 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 3.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 3.639 * [taylor]: Taking taylor expansion of 1/2 in m 3.639 * [backup-simplify]: Simplify 1/2 into 1/2 3.639 * [taylor]: Taking taylor expansion of (/ 1 m) in m 3.639 * [taylor]: Taking taylor expansion of m in m 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 3.639 * [taylor]: Taking taylor expansion of 1/2 in m 3.639 * [backup-simplify]: Simplify 1/2 into 1/2 3.640 * [taylor]: Taking taylor expansion of (/ 1 n) in m 3.640 * [taylor]: Taking taylor expansion of n in m 3.640 * [backup-simplify]: Simplify n into n 3.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.640 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.640 * [taylor]: Taking taylor expansion of M in m 3.640 * [backup-simplify]: Simplify M into M 3.640 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.640 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.641 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.642 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.642 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 3.642 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 3.642 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 3.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 3.642 * [taylor]: Taking taylor expansion of 1/2 in m 3.642 * [backup-simplify]: Simplify 1/2 into 1/2 3.642 * [taylor]: Taking taylor expansion of (/ 1 m) in m 3.642 * [taylor]: Taking taylor expansion of m in m 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 3.642 * [taylor]: Taking taylor expansion of 1/2 in m 3.643 * [backup-simplify]: Simplify 1/2 into 1/2 3.643 * [taylor]: Taking taylor expansion of (/ 1 n) in m 3.643 * [taylor]: Taking taylor expansion of n in m 3.643 * [backup-simplify]: Simplify n into n 3.643 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.643 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.643 * [taylor]: Taking taylor expansion of M in m 3.643 * [backup-simplify]: Simplify M into M 3.643 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.643 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.644 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.644 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.645 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 3.645 * [taylor]: Taking taylor expansion of 1/4 in n 3.645 * [backup-simplify]: Simplify 1/4 into 1/4 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.647 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.647 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 3.647 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 3.647 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 3.648 * [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)) 3.648 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 3.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.648 * [taylor]: Taking taylor expansion of 1/2 in n 3.648 * [backup-simplify]: Simplify 1/2 into 1/2 3.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.648 * [taylor]: Taking taylor expansion of n in n 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (/ 1 1) into 1 3.648 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.648 * [taylor]: Taking taylor expansion of M in n 3.648 * [backup-simplify]: Simplify M into M 3.648 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 3.651 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 3.652 * [backup-simplify]: Simplify (- 0) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [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))) 3.654 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 3.654 * [taylor]: Taking taylor expansion of (pow M 2) in n 3.654 * [taylor]: Taking taylor expansion of M in n 3.654 * [backup-simplify]: Simplify M into M 3.654 * [backup-simplify]: Simplify (* M M) into (pow M 2) 3.654 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 3.654 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 3.654 * [taylor]: Taking taylor expansion of 1/4 in n 3.654 * [backup-simplify]: Simplify 1/4 into 1/4 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.654 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.654 * [taylor]: Taking taylor expansion of n in n 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 3.655 * [taylor]: Taking taylor expansion of (* M n) in n 3.655 * [taylor]: Taking taylor expansion of M in n 3.655 * [backup-simplify]: Simplify M into M 3.655 * [taylor]: Taking taylor expansion of n in n 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (* M 0) into 0 3.656 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 3.656 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.657 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 3.657 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.657 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 3.657 * [taylor]: Taking taylor expansion of 1/4 in M 3.657 * [backup-simplify]: Simplify 1/4 into 1/4 3.658 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.658 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.658 * [taylor]: Taking taylor expansion of 1/2 in M 3.658 * [backup-simplify]: Simplify 1/2 into 1/2 3.659 * [taylor]: Taking taylor expansion of 1/4 in M 3.659 * [backup-simplify]: Simplify 1/4 into 1/4 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 3.662 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 3.663 * [backup-simplify]: Simplify (- 0) into 0 3.663 * [backup-simplify]: Simplify (+ 0 0) into 0 3.664 * [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 3.664 * [taylor]: Taking taylor expansion of 0 in n 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 3.667 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 3.667 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 3.667 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.667 * [taylor]: Taking taylor expansion of M in M 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 1 into 1 3.668 * [backup-simplify]: Simplify (/ 1 1) into 1 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.669 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 3.669 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 3.669 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 3.669 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.669 * [taylor]: Taking taylor expansion of M in M 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of 0 in M 3.670 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 3.674 * [backup-simplify]: Simplify (+ 0 0) into 0 3.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 3.675 * [backup-simplify]: Simplify (- 0) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [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 3.677 * [taylor]: Taking taylor expansion of 0 in n 3.677 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 3.680 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 3.680 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 3.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 3.680 * [backup-simplify]: Simplify (- 0) into 0 3.680 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 3.680 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 3.680 * [taylor]: Taking taylor expansion of (pow M 2) in M 3.680 * [taylor]: Taking taylor expansion of M in M 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* 1 1) into 1 3.681 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 3.682 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ 0 0) into 0 3.683 * [taylor]: Taking taylor expansion of 0 in M 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [taylor]: Taking taylor expansion of 0 in M 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (- 1) into -1 3.683 * [backup-simplify]: Simplify -1 into -1 3.683 * [backup-simplify]: Simplify (- 1) into -1 3.683 * [backup-simplify]: Simplify -1 into -1 3.684 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 3.684 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 3.684 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 3.684 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 3.684 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 3.684 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.684 * [taylor]: Taking taylor expansion of M in M 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [backup-simplify]: Simplify (/ 1 1) into 1 3.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 3.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 3.684 * [taylor]: Taking taylor expansion of 1/2 in M 3.684 * [backup-simplify]: Simplify 1/2 into 1/2 3.685 * [taylor]: Taking taylor expansion of (/ 1 m) in M 3.685 * [taylor]: Taking taylor expansion of m in M 3.685 * [backup-simplify]: Simplify m into m 3.685 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 3.685 * [taylor]: Taking taylor expansion of 1/2 in M 3.685 * [backup-simplify]: Simplify 1/2 into 1/2 3.685 * [taylor]: Taking taylor expansion of (/ 1 n) in M 3.685 * [taylor]: Taking taylor expansion of n in M 3.685 * [backup-simplify]: Simplify n into n 3.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.685 * [backup-simplify]: Simplify (+ 1 0) into 1 3.685 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 3.685 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 3.685 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.685 * [taylor]: Taking taylor expansion of M in n 3.685 * [backup-simplify]: Simplify M into M 3.685 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 3.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 3.685 * [taylor]: Taking taylor expansion of 1/2 in n 3.685 * [backup-simplify]: Simplify 1/2 into 1/2 3.685 * [taylor]: Taking taylor expansion of (/ 1 m) in n 3.685 * [taylor]: Taking taylor expansion of m in n 3.685 * [backup-simplify]: Simplify m into m 3.685 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 3.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.685 * [taylor]: Taking taylor expansion of 1/2 in n 3.685 * [backup-simplify]: Simplify 1/2 into 1/2 3.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (/ 1 1) into 1 3.686 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.686 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.686 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.687 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.687 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 3.687 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 3.687 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.687 * [taylor]: Taking taylor expansion of M in m 3.687 * [backup-simplify]: Simplify M into M 3.687 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.687 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 3.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 3.687 * [taylor]: Taking taylor expansion of 1/2 in m 3.687 * [backup-simplify]: Simplify 1/2 into 1/2 3.687 * [taylor]: Taking taylor expansion of (/ 1 m) in m 3.687 * [taylor]: Taking taylor expansion of m in m 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 3.687 * [taylor]: Taking taylor expansion of 1/2 in m 3.687 * [backup-simplify]: Simplify 1/2 into 1/2 3.687 * [taylor]: Taking taylor expansion of (/ 1 n) in m 3.687 * [taylor]: Taking taylor expansion of n in m 3.687 * [backup-simplify]: Simplify n into n 3.687 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.688 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.688 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.688 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.688 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.688 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 3.688 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 3.688 * [taylor]: Taking taylor expansion of (/ 1 M) in m 3.688 * [taylor]: Taking taylor expansion of M in m 3.688 * [backup-simplify]: Simplify M into M 3.688 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.689 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 3.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 3.689 * [taylor]: Taking taylor expansion of 1/2 in m 3.689 * [backup-simplify]: Simplify 1/2 into 1/2 3.689 * [taylor]: Taking taylor expansion of (/ 1 m) in m 3.689 * [taylor]: Taking taylor expansion of m in m 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 1 into 1 3.689 * [backup-simplify]: Simplify (/ 1 1) into 1 3.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 3.689 * [taylor]: Taking taylor expansion of 1/2 in m 3.689 * [backup-simplify]: Simplify 1/2 into 1/2 3.689 * [taylor]: Taking taylor expansion of (/ 1 n) in m 3.689 * [taylor]: Taking taylor expansion of n in m 3.689 * [backup-simplify]: Simplify n into n 3.689 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.690 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.690 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.690 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.690 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 3.690 * [taylor]: Taking taylor expansion of 1/4 in n 3.690 * [backup-simplify]: Simplify 1/4 into 1/4 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.691 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 3.692 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 3.692 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 3.692 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 3.692 * [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)) 3.692 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 3.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 3.692 * [taylor]: Taking taylor expansion of 1/2 in n 3.692 * [backup-simplify]: Simplify 1/2 into 1/2 3.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.692 * [taylor]: Taking taylor expansion of n in n 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [taylor]: Taking taylor expansion of (/ 1 M) in n 3.692 * [taylor]: Taking taylor expansion of M in n 3.692 * [backup-simplify]: Simplify M into M 3.692 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.695 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [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))) 3.696 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 3.696 * [taylor]: Taking taylor expansion of (pow M 2) in n 3.696 * [taylor]: Taking taylor expansion of M in n 3.696 * [backup-simplify]: Simplify M into M 3.696 * [backup-simplify]: Simplify (* M M) into (pow M 2) 3.696 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 3.696 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 3.696 * [taylor]: Taking taylor expansion of 1/4 in n 3.696 * [backup-simplify]: Simplify 1/4 into 1/4 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 3.696 * [taylor]: Taking taylor expansion of (pow n 2) in n 3.696 * [taylor]: Taking taylor expansion of n in n 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 3.696 * [taylor]: Taking taylor expansion of (* M n) in n 3.696 * [taylor]: Taking taylor expansion of M in n 3.696 * [backup-simplify]: Simplify M into M 3.697 * [taylor]: Taking taylor expansion of n in n 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (* M 0) into 0 3.697 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 3.697 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 3.697 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 3.697 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 3.698 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 3.698 * [taylor]: Taking taylor expansion of 1/4 in M 3.698 * [backup-simplify]: Simplify 1/4 into 1/4 3.698 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.698 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.698 * [taylor]: Taking taylor expansion of 1/2 in M 3.698 * [backup-simplify]: Simplify 1/2 into 1/2 3.698 * [taylor]: Taking taylor expansion of 1/4 in M 3.698 * [backup-simplify]: Simplify 1/4 into 1/4 3.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (- 0) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [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 3.703 * [taylor]: Taking taylor expansion of 0 in n 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.707 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 3.707 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 3.707 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 3.707 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.707 * [taylor]: Taking taylor expansion of M in M 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (/ 1 1) into 1 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 3.709 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 3.709 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 3.709 * [taylor]: Taking taylor expansion of (/ 1 M) in M 3.709 * [taylor]: Taking taylor expansion of M in M 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (/ 1 1) into 1 3.709 * [taylor]: Taking taylor expansion of 0 in M 3.709 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify (- 0) into 0 3.715 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [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 3.716 * [taylor]: Taking taylor expansion of 0 in n 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 3.720 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 3.720 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.721 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 3.721 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 3.721 * [taylor]: Taking taylor expansion of (pow M 2) in M 3.721 * [taylor]: Taking taylor expansion of M in M 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 1 into 1 3.722 * [backup-simplify]: Simplify (* 1 1) into 1 3.722 * [backup-simplify]: Simplify (/ 1 1) into 1 3.722 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 3.725 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.725 * [taylor]: Taking taylor expansion of 0 in M 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [taylor]: Taking taylor expansion of 0 in M 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (- 1) into -1 3.726 * [backup-simplify]: Simplify -1 into -1 3.726 * [backup-simplify]: Simplify (- 1) into -1 3.726 * [backup-simplify]: Simplify -1 into -1 3.728 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 3.729 * * * [progress]: simplifying candidates 3.729 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 3.729 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 3.730 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 3.731 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 3.732 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 3.733 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 3.733 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 3.733 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 3.733 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 3.734 * [simplify]: Simplifying: (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 3.736 * * [simplify]: iteration 0: 94 enodes 3.787 * * [simplify]: iteration 1: 279 enodes 3.954 * * [simplify]: iteration 2: 986 enodes 4.250 * * [simplify]: iteration 3: 2004 enodes 4.642 * * [simplify]: iteration complete: 2004 enodes 4.642 * * [simplify]: Extracting #0: cost 35 inf + 0 4.642 * * [simplify]: Extracting #1: cost 297 inf + 2 4.644 * * [simplify]: Extracting #2: cost 681 inf + 211 4.652 * * [simplify]: Extracting #3: cost 631 inf + 39495 4.673 * * [simplify]: Extracting #4: cost 207 inf + 138405 4.708 * * [simplify]: Extracting #5: cost 20 inf + 192961 4.749 * * [simplify]: Extracting #6: cost 20 inf + 190908 4.816 * * [simplify]: Extracting #7: cost 5 inf + 192884 4.873 * * [simplify]: Extracting #8: cost 0 inf + 194473 4.909 * [simplify]: Simplified to: 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (* 2 (log (- (/ (+ n m) 2) M))) (* 2 (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* M (* M M))) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* M (* M M)))) (* (+ (* (+ M (/ (+ n m) 2)) M) (* (/ (+ n m) 2) (/ (+ n m) 2))) (+ (* (+ M (/ (+ n m) 2)) M) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* M (* M M))) (- (/ (+ n m) 2) M))) (* (+ M (/ (+ n m) 2)) (+ (* (+ M (/ (+ n m) 2)) M) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* M (* M M))) (- (/ (+ n m) 2) M))) (* (+ M (/ (+ n m) 2)) (+ (* (+ M (/ (+ n m) 2)) M) (* (/ (+ n m) 2) (/ (+ n m) 2)))) (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 2 (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- (- (/ (+ n m) 2) M)) M) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- (- (/ (+ n m) 2) M)) M) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- (- (/ (+ n m) 2) M)) M) (* (/ (+ n m) 2) (- (/ (+ n m) 2) M)) (* (- (- (/ (+ n m) 2) M)) M) (* (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (cbrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))) (- (/ (+ n m) 2) M) (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* M (* M M))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* M (* M M))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* 1/2 (* m n)) (* 1/4 (+ (* m m) (* n n)))) (- (* M M) (* M (+ n m))) (- (* M M) (* M (+ n m))) 4.915 * * * [progress]: adding candidates to table 5.143 * * [progress]: iteration 3 / 4 5.143 * * * [progress]: picking best candidate 5.172 * * * * [pick]: Picked #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 5.172 * * * [progress]: localizing error 5.230 * * * [progress]: generating rewritten candidates 5.230 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1 2) 5.230 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 1 2 1 1) 5.411 * * * [progress]: generating series expansions 5.411 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1 2) 5.411 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 5.411 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 5.411 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 5.411 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.411 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.411 * [taylor]: Taking taylor expansion of 1/2 in M 5.411 * [backup-simplify]: Simplify 1/2 into 1/2 5.411 * [taylor]: Taking taylor expansion of m in M 5.411 * [backup-simplify]: Simplify m into m 5.411 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.411 * [taylor]: Taking taylor expansion of 1/2 in M 5.411 * [backup-simplify]: Simplify 1/2 into 1/2 5.411 * [taylor]: Taking taylor expansion of n in M 5.411 * [backup-simplify]: Simplify n into n 5.411 * [taylor]: Taking taylor expansion of M in M 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 1 into 1 5.412 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.412 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.412 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 5.413 * [backup-simplify]: Simplify (- 0) into 0 5.413 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 5.413 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.413 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.413 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.413 * [taylor]: Taking taylor expansion of 1/2 in n 5.413 * [backup-simplify]: Simplify 1/2 into 1/2 5.413 * [taylor]: Taking taylor expansion of m in n 5.413 * [backup-simplify]: Simplify m into m 5.413 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.413 * [taylor]: Taking taylor expansion of 1/2 in n 5.413 * [backup-simplify]: Simplify 1/2 into 1/2 5.413 * [taylor]: Taking taylor expansion of n in n 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [taylor]: Taking taylor expansion of M in n 5.413 * [backup-simplify]: Simplify M into M 5.413 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.414 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.414 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.414 * [backup-simplify]: Simplify (- M) into (- M) 5.414 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.414 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.414 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.414 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.414 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.414 * [taylor]: Taking taylor expansion of 1/2 in m 5.414 * [backup-simplify]: Simplify 1/2 into 1/2 5.414 * [taylor]: Taking taylor expansion of m in m 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 1 into 1 5.414 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.414 * [taylor]: Taking taylor expansion of 1/2 in m 5.414 * [backup-simplify]: Simplify 1/2 into 1/2 5.414 * [taylor]: Taking taylor expansion of n in m 5.414 * [backup-simplify]: Simplify n into n 5.414 * [taylor]: Taking taylor expansion of M in m 5.414 * [backup-simplify]: Simplify M into M 5.415 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.415 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.415 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.415 * [backup-simplify]: Simplify (- M) into (- M) 5.415 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.415 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.415 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.415 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.415 * [taylor]: Taking taylor expansion of 1/2 in m 5.415 * [backup-simplify]: Simplify 1/2 into 1/2 5.415 * [taylor]: Taking taylor expansion of m in m 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.415 * [taylor]: Taking taylor expansion of 1/2 in m 5.415 * [backup-simplify]: Simplify 1/2 into 1/2 5.415 * [taylor]: Taking taylor expansion of n in m 5.415 * [backup-simplify]: Simplify n into n 5.415 * [taylor]: Taking taylor expansion of M in m 5.415 * [backup-simplify]: Simplify M into M 5.416 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.416 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.416 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.416 * [backup-simplify]: Simplify (- M) into (- M) 5.416 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.416 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 5.416 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 5.416 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.416 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.416 * [taylor]: Taking taylor expansion of 1/2 in n 5.416 * [backup-simplify]: Simplify 1/2 into 1/2 5.417 * [taylor]: Taking taylor expansion of n in n 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [taylor]: Taking taylor expansion of M in n 5.417 * [backup-simplify]: Simplify M into M 5.417 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.417 * [backup-simplify]: Simplify (- M) into (- M) 5.417 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.417 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 5.417 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.417 * [taylor]: Taking taylor expansion of M in M 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 5.419 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.420 * [backup-simplify]: Simplify (- 0) into 0 5.420 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.420 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 5.420 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.420 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.420 * [taylor]: Taking taylor expansion of 1/2 in n 5.420 * [backup-simplify]: Simplify 1/2 into 1/2 5.420 * [taylor]: Taking taylor expansion of n in n 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [taylor]: Taking taylor expansion of M in n 5.421 * [backup-simplify]: Simplify M into M 5.421 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.421 * [backup-simplify]: Simplify (- M) into (- M) 5.421 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.421 * [taylor]: Taking taylor expansion of (- M) in M 5.421 * [taylor]: Taking taylor expansion of M in M 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (- 0) into 0 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.423 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.424 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 5.424 * [taylor]: Taking taylor expansion of (- M) in M 5.424 * [taylor]: Taking taylor expansion of M in M 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 1 into 1 5.424 * [backup-simplify]: Simplify (- 0) into 0 5.424 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.427 * [backup-simplify]: Simplify (- 0) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 5.428 * [taylor]: Taking taylor expansion of 1/4 in n 5.428 * [backup-simplify]: Simplify 1/4 into 1/4 5.428 * [taylor]: Taking taylor expansion of 1/4 in M 5.428 * [backup-simplify]: Simplify 1/4 into 1/4 5.428 * [backup-simplify]: Simplify 1/4 into 1/4 5.428 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.429 * [backup-simplify]: Simplify (- 0) into 0 5.429 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.429 * [taylor]: Taking taylor expansion of 1/2 in M 5.429 * [backup-simplify]: Simplify 1/2 into 1/2 5.429 * [backup-simplify]: Simplify 1/2 into 1/2 5.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.431 * [backup-simplify]: Simplify (- 0) into 0 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.431 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 5.431 * [taylor]: Taking taylor expansion of 1/4 in M 5.431 * [backup-simplify]: Simplify 1/4 into 1/4 5.431 * [backup-simplify]: Simplify 1/4 into 1/4 5.432 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 5.432 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 5.432 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 5.432 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 5.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.433 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.433 * [taylor]: Taking taylor expansion of 1/2 in M 5.433 * [backup-simplify]: Simplify 1/2 into 1/2 5.433 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.433 * [taylor]: Taking taylor expansion of m in M 5.433 * [backup-simplify]: Simplify m into m 5.433 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.433 * [taylor]: Taking taylor expansion of 1/2 in M 5.433 * [backup-simplify]: Simplify 1/2 into 1/2 5.433 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.433 * [taylor]: Taking taylor expansion of n in M 5.433 * [backup-simplify]: Simplify n into n 5.433 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.433 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.433 * [taylor]: Taking taylor expansion of M in M 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (/ 1 1) into 1 5.434 * [backup-simplify]: Simplify (- 1) into -1 5.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.434 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.434 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.434 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.434 * [taylor]: Taking taylor expansion of 1/2 in n 5.434 * [backup-simplify]: Simplify 1/2 into 1/2 5.434 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.434 * [taylor]: Taking taylor expansion of m in n 5.434 * [backup-simplify]: Simplify m into m 5.434 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.435 * [taylor]: Taking taylor expansion of 1/2 in n 5.435 * [backup-simplify]: Simplify 1/2 into 1/2 5.435 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.435 * [taylor]: Taking taylor expansion of n in n 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.435 * [backup-simplify]: Simplify (/ 1 1) into 1 5.435 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.435 * [taylor]: Taking taylor expansion of M in n 5.435 * [backup-simplify]: Simplify M into M 5.435 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.436 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.436 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.436 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.436 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.437 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.437 * [taylor]: Taking taylor expansion of 1/2 in m 5.437 * [backup-simplify]: Simplify 1/2 into 1/2 5.437 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.437 * [taylor]: Taking taylor expansion of m in m 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.437 * [taylor]: Taking taylor expansion of 1/2 in m 5.437 * [backup-simplify]: Simplify 1/2 into 1/2 5.437 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.437 * [taylor]: Taking taylor expansion of n in m 5.437 * [backup-simplify]: Simplify n into n 5.437 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.437 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.437 * [taylor]: Taking taylor expansion of M in m 5.437 * [backup-simplify]: Simplify M into M 5.437 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.438 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.438 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.439 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.439 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.439 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.439 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.439 * [taylor]: Taking taylor expansion of 1/2 in m 5.439 * [backup-simplify]: Simplify 1/2 into 1/2 5.439 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.439 * [taylor]: Taking taylor expansion of m in m 5.439 * [backup-simplify]: Simplify 0 into 0 5.439 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.439 * [taylor]: Taking taylor expansion of 1/2 in m 5.439 * [backup-simplify]: Simplify 1/2 into 1/2 5.439 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.439 * [taylor]: Taking taylor expansion of n in m 5.439 * [backup-simplify]: Simplify n into n 5.440 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.440 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.440 * [taylor]: Taking taylor expansion of M in m 5.440 * [backup-simplify]: Simplify M into M 5.440 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.440 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.441 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.441 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.441 * [taylor]: Taking taylor expansion of 1/4 in n 5.441 * [backup-simplify]: Simplify 1/4 into 1/4 5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.443 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.443 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.443 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.443 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.443 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.443 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.444 * [taylor]: Taking taylor expansion of 1/2 in n 5.444 * [backup-simplify]: Simplify 1/2 into 1/2 5.444 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.444 * [taylor]: Taking taylor expansion of n in n 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (/ 1 1) into 1 5.444 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.444 * [taylor]: Taking taylor expansion of M in n 5.444 * [backup-simplify]: Simplify M into M 5.444 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.447 * [backup-simplify]: Simplify (+ 0 0) into 0 5.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.447 * [backup-simplify]: Simplify (- 0) into 0 5.448 * [backup-simplify]: Simplify (+ 0 0) into 0 5.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 5.449 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 5.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 5.449 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.449 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.449 * [taylor]: Taking taylor expansion of M in n 5.449 * [backup-simplify]: Simplify M into M 5.449 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.449 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.449 * [taylor]: Taking taylor expansion of 1/4 in n 5.449 * [backup-simplify]: Simplify 1/4 into 1/4 5.449 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.449 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.449 * [taylor]: Taking taylor expansion of n in n 5.449 * [backup-simplify]: Simplify 0 into 0 5.449 * [backup-simplify]: Simplify 1 into 1 5.450 * [backup-simplify]: Simplify (* 1 1) into 1 5.450 * [backup-simplify]: Simplify (/ 1 1) into 1 5.450 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.450 * [taylor]: Taking taylor expansion of (* M n) in n 5.450 * [taylor]: Taking taylor expansion of M in n 5.450 * [backup-simplify]: Simplify M into M 5.450 * [taylor]: Taking taylor expansion of n in n 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.450 * [backup-simplify]: Simplify (* M 0) into 0 5.451 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.451 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.451 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.452 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.452 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.452 * [taylor]: Taking taylor expansion of 1/4 in M 5.452 * [backup-simplify]: Simplify 1/4 into 1/4 5.453 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.453 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.453 * [taylor]: Taking taylor expansion of 1/2 in M 5.453 * [backup-simplify]: Simplify 1/2 into 1/2 5.453 * [taylor]: Taking taylor expansion of 1/4 in M 5.453 * [backup-simplify]: Simplify 1/4 into 1/4 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.459 * [backup-simplify]: Simplify (+ 0 0) into 0 5.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.459 * [backup-simplify]: Simplify (- 0) into 0 5.460 * [backup-simplify]: Simplify (+ 0 0) into 0 5.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 5.460 * [taylor]: Taking taylor expansion of 0 in n 5.460 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.462 * [backup-simplify]: Simplify (+ 0 0) into 0 5.462 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.462 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.462 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.462 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.462 * [taylor]: Taking taylor expansion of M in M 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (/ 1 1) into 1 5.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.463 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.463 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.463 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.463 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.463 * [taylor]: Taking taylor expansion of M in M 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.464 * [taylor]: Taking taylor expansion of 0 in M 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.466 * [backup-simplify]: Simplify (+ 0 0) into 0 5.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.466 * [backup-simplify]: Simplify (- 0) into 0 5.467 * [backup-simplify]: Simplify (+ 0 0) into 0 5.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 5.467 * [taylor]: Taking taylor expansion of 0 in n 5.467 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.469 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.470 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.470 * [backup-simplify]: Simplify (- 0) into 0 5.470 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.470 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.470 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.470 * [taylor]: Taking taylor expansion of M in M 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (* 1 1) into 1 5.471 * [backup-simplify]: Simplify (/ 1 1) into 1 5.471 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.472 * [backup-simplify]: Simplify (- 0) into 0 5.472 * [backup-simplify]: Simplify (+ 0 0) into 0 5.472 * [taylor]: Taking taylor expansion of 0 in M 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [taylor]: Taking taylor expansion of 0 in M 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify (- 1) into -1 5.473 * [backup-simplify]: Simplify -1 into -1 5.473 * [backup-simplify]: Simplify (- 1) into -1 5.473 * [backup-simplify]: Simplify -1 into -1 5.473 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.474 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 5.474 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 5.474 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 5.474 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.474 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.474 * [taylor]: Taking taylor expansion of M in M 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (/ 1 1) into 1 5.474 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.474 * [taylor]: Taking taylor expansion of 1/2 in M 5.474 * [backup-simplify]: Simplify 1/2 into 1/2 5.474 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.474 * [taylor]: Taking taylor expansion of m in M 5.474 * [backup-simplify]: Simplify m into m 5.474 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.474 * [taylor]: Taking taylor expansion of 1/2 in M 5.474 * [backup-simplify]: Simplify 1/2 into 1/2 5.474 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.474 * [taylor]: Taking taylor expansion of n in M 5.474 * [backup-simplify]: Simplify n into n 5.474 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.475 * [backup-simplify]: Simplify (+ 1 0) into 1 5.475 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.475 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.475 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.475 * [taylor]: Taking taylor expansion of M in n 5.475 * [backup-simplify]: Simplify M into M 5.475 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.475 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.475 * [taylor]: Taking taylor expansion of 1/2 in n 5.475 * [backup-simplify]: Simplify 1/2 into 1/2 5.475 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.475 * [taylor]: Taking taylor expansion of m in n 5.475 * [backup-simplify]: Simplify m into m 5.475 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.475 * [taylor]: Taking taylor expansion of 1/2 in n 5.475 * [backup-simplify]: Simplify 1/2 into 1/2 5.475 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.475 * [taylor]: Taking taylor expansion of n in n 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [backup-simplify]: Simplify (/ 1 1) into 1 5.475 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.476 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.476 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.476 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.476 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 5.476 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.476 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.476 * [taylor]: Taking taylor expansion of M in m 5.476 * [backup-simplify]: Simplify M into M 5.476 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.476 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.476 * [taylor]: Taking taylor expansion of 1/2 in m 5.476 * [backup-simplify]: Simplify 1/2 into 1/2 5.476 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.476 * [taylor]: Taking taylor expansion of m in m 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.477 * [backup-simplify]: Simplify (/ 1 1) into 1 5.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.477 * [taylor]: Taking taylor expansion of 1/2 in m 5.477 * [backup-simplify]: Simplify 1/2 into 1/2 5.477 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.477 * [taylor]: Taking taylor expansion of n in m 5.477 * [backup-simplify]: Simplify n into n 5.477 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.477 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.477 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.478 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.478 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.478 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 5.478 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.478 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.478 * [taylor]: Taking taylor expansion of M in m 5.478 * [backup-simplify]: Simplify M into M 5.478 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.478 * [taylor]: Taking taylor expansion of 1/2 in m 5.478 * [backup-simplify]: Simplify 1/2 into 1/2 5.478 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.478 * [taylor]: Taking taylor expansion of m in m 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 1 into 1 5.478 * [backup-simplify]: Simplify (/ 1 1) into 1 5.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.478 * [taylor]: Taking taylor expansion of 1/2 in m 5.478 * [backup-simplify]: Simplify 1/2 into 1/2 5.478 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.478 * [taylor]: Taking taylor expansion of n in m 5.478 * [backup-simplify]: Simplify n into n 5.478 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.479 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.479 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.479 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.479 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.480 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 5.480 * [taylor]: Taking taylor expansion of 1/4 in n 5.480 * [backup-simplify]: Simplify 1/4 into 1/4 5.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.481 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.481 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.481 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 5.481 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 5.481 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.481 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.481 * [taylor]: Taking taylor expansion of 1/2 in n 5.481 * [backup-simplify]: Simplify 1/2 into 1/2 5.481 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.481 * [taylor]: Taking taylor expansion of n in n 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.482 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.482 * [taylor]: Taking taylor expansion of M in n 5.482 * [backup-simplify]: Simplify M into M 5.482 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (- 0) into 0 5.484 * [backup-simplify]: Simplify (+ 0 0) into 0 5.485 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 5.485 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 5.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.485 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.485 * [taylor]: Taking taylor expansion of M in n 5.485 * [backup-simplify]: Simplify M into M 5.485 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.485 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.485 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.485 * [taylor]: Taking taylor expansion of 1/4 in n 5.485 * [backup-simplify]: Simplify 1/4 into 1/4 5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.485 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.485 * [taylor]: Taking taylor expansion of n in n 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (* 1 1) into 1 5.485 * [backup-simplify]: Simplify (/ 1 1) into 1 5.485 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.485 * [taylor]: Taking taylor expansion of (* M n) in n 5.485 * [taylor]: Taking taylor expansion of M in n 5.485 * [backup-simplify]: Simplify M into M 5.486 * [taylor]: Taking taylor expansion of n in n 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 1 into 1 5.486 * [backup-simplify]: Simplify (* M 0) into 0 5.486 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.486 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.486 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.486 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.487 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.487 * [taylor]: Taking taylor expansion of 1/4 in M 5.487 * [backup-simplify]: Simplify 1/4 into 1/4 5.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.487 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.487 * [taylor]: Taking taylor expansion of 1/2 in M 5.487 * [backup-simplify]: Simplify 1/2 into 1/2 5.487 * [taylor]: Taking taylor expansion of 1/4 in M 5.487 * [backup-simplify]: Simplify 1/4 into 1/4 5.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.489 * [backup-simplify]: Simplify (+ 0 0) into 0 5.490 * [backup-simplify]: Simplify (- 0) into 0 5.490 * [backup-simplify]: Simplify (+ 0 0) into 0 5.491 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 5.491 * [taylor]: Taking taylor expansion of 0 in n 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.492 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.492 * [backup-simplify]: Simplify (+ 0 0) into 0 5.492 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.492 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.492 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.492 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.492 * [taylor]: Taking taylor expansion of M in M 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.493 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.494 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.494 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.494 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.494 * [taylor]: Taking taylor expansion of M in M 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 1 into 1 5.494 * [backup-simplify]: Simplify (/ 1 1) into 1 5.494 * [taylor]: Taking taylor expansion of 0 in M 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.497 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (- 0) into 0 5.497 * [backup-simplify]: Simplify (+ 0 0) into 0 5.498 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 5.498 * [taylor]: Taking taylor expansion of 0 in n 5.498 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.500 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.500 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.501 * [backup-simplify]: Simplify (- 0) into 0 5.501 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.501 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.501 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.501 * [taylor]: Taking taylor expansion of M in M 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.501 * [backup-simplify]: Simplify (* 1 1) into 1 5.501 * [backup-simplify]: Simplify (/ 1 1) into 1 5.501 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.503 * [backup-simplify]: Simplify (- 0) into 0 5.503 * [backup-simplify]: Simplify (+ 0 0) into 0 5.503 * [taylor]: Taking taylor expansion of 0 in M 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [taylor]: Taking taylor expansion of 0 in M 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (- 1) into -1 5.503 * [backup-simplify]: Simplify -1 into -1 5.504 * [backup-simplify]: Simplify (- 1) into -1 5.504 * [backup-simplify]: Simplify -1 into -1 5.504 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.504 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 1 2 1 1) 5.505 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 5.505 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 5.505 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 5.505 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 5.505 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 5.505 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 5.505 * [taylor]: Taking taylor expansion of 1/2 in M 5.505 * [backup-simplify]: Simplify 1/2 into 1/2 5.505 * [taylor]: Taking taylor expansion of m in M 5.505 * [backup-simplify]: Simplify m into m 5.505 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 5.505 * [taylor]: Taking taylor expansion of 1/2 in M 5.505 * [backup-simplify]: Simplify 1/2 into 1/2 5.505 * [taylor]: Taking taylor expansion of n in M 5.505 * [backup-simplify]: Simplify n into n 5.505 * [taylor]: Taking taylor expansion of M in M 5.505 * [backup-simplify]: Simplify 0 into 0 5.505 * [backup-simplify]: Simplify 1 into 1 5.505 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.505 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.505 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 5.505 * [backup-simplify]: Simplify (- 0) into 0 5.505 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 5.505 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 5.505 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 5.505 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 5.505 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 5.505 * [taylor]: Taking taylor expansion of 1/2 in n 5.506 * [backup-simplify]: Simplify 1/2 into 1/2 5.506 * [taylor]: Taking taylor expansion of m in n 5.506 * [backup-simplify]: Simplify m into m 5.506 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.506 * [taylor]: Taking taylor expansion of 1/2 in n 5.506 * [backup-simplify]: Simplify 1/2 into 1/2 5.506 * [taylor]: Taking taylor expansion of n in n 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [taylor]: Taking taylor expansion of M in n 5.506 * [backup-simplify]: Simplify M into M 5.506 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 5.506 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.506 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 5.506 * [backup-simplify]: Simplify (- M) into (- M) 5.506 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 5.506 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.506 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.506 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.506 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.506 * [taylor]: Taking taylor expansion of 1/2 in m 5.506 * [backup-simplify]: Simplify 1/2 into 1/2 5.506 * [taylor]: Taking taylor expansion of m in m 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.507 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.507 * [taylor]: Taking taylor expansion of 1/2 in m 5.507 * [backup-simplify]: Simplify 1/2 into 1/2 5.507 * [taylor]: Taking taylor expansion of n in m 5.507 * [backup-simplify]: Simplify n into n 5.507 * [taylor]: Taking taylor expansion of M in m 5.507 * [backup-simplify]: Simplify M into M 5.507 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.507 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.507 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.507 * [backup-simplify]: Simplify (- M) into (- M) 5.507 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.507 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 5.507 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 5.507 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 5.507 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 5.507 * [taylor]: Taking taylor expansion of 1/2 in m 5.507 * [backup-simplify]: Simplify 1/2 into 1/2 5.507 * [taylor]: Taking taylor expansion of m in m 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 1 into 1 5.507 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 5.507 * [taylor]: Taking taylor expansion of 1/2 in m 5.507 * [backup-simplify]: Simplify 1/2 into 1/2 5.507 * [taylor]: Taking taylor expansion of n in m 5.507 * [backup-simplify]: Simplify n into n 5.507 * [taylor]: Taking taylor expansion of M in m 5.507 * [backup-simplify]: Simplify M into M 5.508 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.508 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 5.508 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 5.508 * [backup-simplify]: Simplify (- M) into (- M) 5.508 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 5.508 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 5.508 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 5.508 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.508 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.508 * [taylor]: Taking taylor expansion of 1/2 in n 5.508 * [backup-simplify]: Simplify 1/2 into 1/2 5.508 * [taylor]: Taking taylor expansion of n in n 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify 1 into 1 5.508 * [taylor]: Taking taylor expansion of M in n 5.508 * [backup-simplify]: Simplify M into M 5.508 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.508 * [backup-simplify]: Simplify (- M) into (- M) 5.508 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.509 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 5.509 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.509 * [taylor]: Taking taylor expansion of M in M 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 1 into 1 5.509 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 5.510 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.510 * [backup-simplify]: Simplify (- 0) into 0 5.510 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.510 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 5.510 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 5.510 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 5.510 * [taylor]: Taking taylor expansion of 1/2 in n 5.510 * [backup-simplify]: Simplify 1/2 into 1/2 5.510 * [taylor]: Taking taylor expansion of n in n 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [taylor]: Taking taylor expansion of M in n 5.510 * [backup-simplify]: Simplify M into M 5.511 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.511 * [backup-simplify]: Simplify (- M) into (- M) 5.511 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 5.511 * [taylor]: Taking taylor expansion of (- M) in M 5.511 * [taylor]: Taking taylor expansion of M in M 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.513 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 5.513 * [taylor]: Taking taylor expansion of (- M) in M 5.513 * [taylor]: Taking taylor expansion of M in M 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (- 0) into 0 5.513 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (- 0) into 0 5.515 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 5.516 * [taylor]: Taking taylor expansion of 1/4 in n 5.516 * [backup-simplify]: Simplify 1/4 into 1/4 5.516 * [taylor]: Taking taylor expansion of 1/4 in M 5.516 * [backup-simplify]: Simplify 1/4 into 1/4 5.516 * [backup-simplify]: Simplify 1/4 into 1/4 5.516 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.516 * [backup-simplify]: Simplify (- 0) into 0 5.517 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.517 * [taylor]: Taking taylor expansion of 1/2 in M 5.517 * [backup-simplify]: Simplify 1/2 into 1/2 5.517 * [backup-simplify]: Simplify 1/2 into 1/2 5.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.517 * [backup-simplify]: Simplify (- 0) into 0 5.518 * [backup-simplify]: Simplify (+ 0 0) into 0 5.518 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 5.518 * [taylor]: Taking taylor expansion of 1/4 in M 5.518 * [backup-simplify]: Simplify 1/4 into 1/4 5.518 * [backup-simplify]: Simplify 1/4 into 1/4 5.518 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 5.519 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 5.519 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 5.519 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 5.519 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 5.519 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.519 * [taylor]: Taking taylor expansion of 1/2 in M 5.519 * [backup-simplify]: Simplify 1/2 into 1/2 5.519 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.519 * [taylor]: Taking taylor expansion of m in M 5.519 * [backup-simplify]: Simplify m into m 5.519 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.519 * [taylor]: Taking taylor expansion of 1/2 in M 5.519 * [backup-simplify]: Simplify 1/2 into 1/2 5.519 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.519 * [taylor]: Taking taylor expansion of n in M 5.519 * [backup-simplify]: Simplify n into n 5.519 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.519 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.519 * [taylor]: Taking taylor expansion of M in M 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [backup-simplify]: Simplify (/ 1 1) into 1 5.519 * [backup-simplify]: Simplify (- 1) into -1 5.520 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.520 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 5.520 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 5.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.520 * [taylor]: Taking taylor expansion of 1/2 in n 5.520 * [backup-simplify]: Simplify 1/2 into 1/2 5.520 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.520 * [taylor]: Taking taylor expansion of m in n 5.520 * [backup-simplify]: Simplify m into m 5.520 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.520 * [taylor]: Taking taylor expansion of 1/2 in n 5.520 * [backup-simplify]: Simplify 1/2 into 1/2 5.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.520 * [taylor]: Taking taylor expansion of n in n 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 1 into 1 5.520 * [backup-simplify]: Simplify (/ 1 1) into 1 5.520 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.520 * [taylor]: Taking taylor expansion of M in n 5.520 * [backup-simplify]: Simplify M into M 5.520 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.521 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.521 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.521 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.521 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.521 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.521 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.521 * [taylor]: Taking taylor expansion of 1/2 in m 5.521 * [backup-simplify]: Simplify 1/2 into 1/2 5.521 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.521 * [taylor]: Taking taylor expansion of m in m 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.522 * [taylor]: Taking taylor expansion of 1/2 in m 5.522 * [backup-simplify]: Simplify 1/2 into 1/2 5.522 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.522 * [taylor]: Taking taylor expansion of n in m 5.522 * [backup-simplify]: Simplify n into n 5.522 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.522 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.522 * [taylor]: Taking taylor expansion of M in m 5.522 * [backup-simplify]: Simplify M into M 5.522 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.522 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.523 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.523 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 5.523 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 5.523 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.523 * [taylor]: Taking taylor expansion of 1/2 in m 5.523 * [backup-simplify]: Simplify 1/2 into 1/2 5.523 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.523 * [taylor]: Taking taylor expansion of m in m 5.523 * [backup-simplify]: Simplify 0 into 0 5.523 * [backup-simplify]: Simplify 1 into 1 5.523 * [backup-simplify]: Simplify (/ 1 1) into 1 5.523 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.523 * [taylor]: Taking taylor expansion of 1/2 in m 5.523 * [backup-simplify]: Simplify 1/2 into 1/2 5.523 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.523 * [taylor]: Taking taylor expansion of n in m 5.523 * [backup-simplify]: Simplify n into n 5.523 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.523 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.523 * [taylor]: Taking taylor expansion of M in m 5.523 * [backup-simplify]: Simplify M into M 5.523 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.523 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.524 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.524 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.524 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 5.524 * [taylor]: Taking taylor expansion of 1/4 in n 5.524 * [backup-simplify]: Simplify 1/4 into 1/4 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.525 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.525 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.525 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.525 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.526 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.526 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.526 * [taylor]: Taking taylor expansion of 1/2 in n 5.526 * [backup-simplify]: Simplify 1/2 into 1/2 5.526 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.526 * [taylor]: Taking taylor expansion of n in n 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.526 * [backup-simplify]: Simplify (/ 1 1) into 1 5.526 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.526 * [taylor]: Taking taylor expansion of M in n 5.526 * [backup-simplify]: Simplify M into M 5.526 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.528 * [backup-simplify]: Simplify (- 0) into 0 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 5.529 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 5.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 5.529 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.529 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.529 * [taylor]: Taking taylor expansion of M in n 5.529 * [backup-simplify]: Simplify M into M 5.529 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.529 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.529 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.529 * [taylor]: Taking taylor expansion of 1/4 in n 5.529 * [backup-simplify]: Simplify 1/4 into 1/4 5.529 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.529 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.529 * [taylor]: Taking taylor expansion of n in n 5.529 * [backup-simplify]: Simplify 0 into 0 5.529 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (* 1 1) into 1 5.530 * [backup-simplify]: Simplify (/ 1 1) into 1 5.530 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.530 * [taylor]: Taking taylor expansion of (* M n) in n 5.530 * [taylor]: Taking taylor expansion of M in n 5.530 * [backup-simplify]: Simplify M into M 5.530 * [taylor]: Taking taylor expansion of n in n 5.530 * [backup-simplify]: Simplify 0 into 0 5.530 * [backup-simplify]: Simplify 1 into 1 5.530 * [backup-simplify]: Simplify (* M 0) into 0 5.530 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.530 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.531 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.531 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.531 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.531 * [taylor]: Taking taylor expansion of 1/4 in M 5.531 * [backup-simplify]: Simplify 1/4 into 1/4 5.531 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.532 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.532 * [taylor]: Taking taylor expansion of 1/2 in M 5.532 * [backup-simplify]: Simplify 1/2 into 1/2 5.532 * [taylor]: Taking taylor expansion of 1/4 in M 5.532 * [backup-simplify]: Simplify 1/4 into 1/4 5.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.534 * [backup-simplify]: Simplify (+ 0 0) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.534 * [backup-simplify]: Simplify (- 0) into 0 5.534 * [backup-simplify]: Simplify (+ 0 0) into 0 5.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 5.535 * [taylor]: Taking taylor expansion of 0 in n 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.537 * [backup-simplify]: Simplify (+ 0 0) into 0 5.537 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.537 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.537 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.537 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.537 * [taylor]: Taking taylor expansion of M in M 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.538 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.538 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.538 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.538 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.538 * [taylor]: Taking taylor expansion of M in M 5.538 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify 1 into 1 5.538 * [backup-simplify]: Simplify (/ 1 1) into 1 5.538 * [taylor]: Taking taylor expansion of 0 in M 5.538 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.541 * [backup-simplify]: Simplify (- 0) into 0 5.541 * [backup-simplify]: Simplify (+ 0 0) into 0 5.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 5.542 * [taylor]: Taking taylor expansion of 0 in n 5.542 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.544 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.544 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.545 * [backup-simplify]: Simplify (- 0) into 0 5.545 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.545 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.545 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.545 * [taylor]: Taking taylor expansion of M in M 5.545 * [backup-simplify]: Simplify 0 into 0 5.545 * [backup-simplify]: Simplify 1 into 1 5.545 * [backup-simplify]: Simplify (* 1 1) into 1 5.545 * [backup-simplify]: Simplify (/ 1 1) into 1 5.545 * [backup-simplify]: Simplify 1 into 1 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.548 * [backup-simplify]: Simplify (- 0) into 0 5.549 * [backup-simplify]: Simplify (+ 0 0) into 0 5.549 * [taylor]: Taking taylor expansion of 0 in M 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [taylor]: Taking taylor expansion of 0 in M 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify (- 1) into -1 5.549 * [backup-simplify]: Simplify -1 into -1 5.549 * [backup-simplify]: Simplify (- 1) into -1 5.549 * [backup-simplify]: Simplify -1 into -1 5.550 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.550 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 5.550 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 5.550 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 5.550 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 5.550 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.550 * [taylor]: Taking taylor expansion of M in M 5.550 * [backup-simplify]: Simplify 0 into 0 5.550 * [backup-simplify]: Simplify 1 into 1 5.550 * [backup-simplify]: Simplify (/ 1 1) into 1 5.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 5.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 5.551 * [taylor]: Taking taylor expansion of 1/2 in M 5.551 * [backup-simplify]: Simplify 1/2 into 1/2 5.551 * [taylor]: Taking taylor expansion of (/ 1 m) in M 5.551 * [taylor]: Taking taylor expansion of m in M 5.551 * [backup-simplify]: Simplify m into m 5.551 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 5.551 * [taylor]: Taking taylor expansion of 1/2 in M 5.551 * [backup-simplify]: Simplify 1/2 into 1/2 5.551 * [taylor]: Taking taylor expansion of (/ 1 n) in M 5.551 * [taylor]: Taking taylor expansion of n in M 5.551 * [backup-simplify]: Simplify n into n 5.551 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.551 * [backup-simplify]: Simplify (+ 1 0) into 1 5.551 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 5.551 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 5.551 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.551 * [taylor]: Taking taylor expansion of M in n 5.551 * [backup-simplify]: Simplify M into M 5.551 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.551 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 5.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 5.551 * [taylor]: Taking taylor expansion of 1/2 in n 5.551 * [backup-simplify]: Simplify 1/2 into 1/2 5.551 * [taylor]: Taking taylor expansion of (/ 1 m) in n 5.551 * [taylor]: Taking taylor expansion of m in n 5.551 * [backup-simplify]: Simplify m into m 5.551 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 5.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.551 * [taylor]: Taking taylor expansion of 1/2 in n 5.551 * [backup-simplify]: Simplify 1/2 into 1/2 5.551 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.551 * [taylor]: Taking taylor expansion of n in n 5.551 * [backup-simplify]: Simplify 0 into 0 5.551 * [backup-simplify]: Simplify 1 into 1 5.552 * [backup-simplify]: Simplify (/ 1 1) into 1 5.552 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.552 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 5.552 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.553 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.553 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 5.553 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.553 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.553 * [taylor]: Taking taylor expansion of M in m 5.553 * [backup-simplify]: Simplify M into M 5.553 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.553 * [taylor]: Taking taylor expansion of 1/2 in m 5.553 * [backup-simplify]: Simplify 1/2 into 1/2 5.553 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.553 * [taylor]: Taking taylor expansion of m in m 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.553 * [backup-simplify]: Simplify (/ 1 1) into 1 5.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.553 * [taylor]: Taking taylor expansion of 1/2 in m 5.553 * [backup-simplify]: Simplify 1/2 into 1/2 5.553 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.553 * [taylor]: Taking taylor expansion of n in m 5.553 * [backup-simplify]: Simplify n into n 5.553 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.554 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.554 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.554 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.554 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.554 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 5.554 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 5.554 * [taylor]: Taking taylor expansion of (/ 1 M) in m 5.554 * [taylor]: Taking taylor expansion of M in m 5.554 * [backup-simplify]: Simplify M into M 5.554 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.554 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 5.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 5.554 * [taylor]: Taking taylor expansion of 1/2 in m 5.554 * [backup-simplify]: Simplify 1/2 into 1/2 5.554 * [taylor]: Taking taylor expansion of (/ 1 m) in m 5.555 * [taylor]: Taking taylor expansion of m in m 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 1 into 1 5.555 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 5.555 * [taylor]: Taking taylor expansion of 1/2 in m 5.555 * [backup-simplify]: Simplify 1/2 into 1/2 5.555 * [taylor]: Taking taylor expansion of (/ 1 n) in m 5.555 * [taylor]: Taking taylor expansion of n in m 5.555 * [backup-simplify]: Simplify n into n 5.555 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.555 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.555 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.556 * [backup-simplify]: Simplify (- 1/2) into -1/2 5.556 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 5.556 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 5.556 * [taylor]: Taking taylor expansion of 1/4 in n 5.557 * [backup-simplify]: Simplify 1/4 into 1/4 5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.557 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 5.557 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 5.558 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 5.558 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 5.558 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 5.558 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 5.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 5.558 * [taylor]: Taking taylor expansion of 1/2 in n 5.558 * [backup-simplify]: Simplify 1/2 into 1/2 5.558 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.558 * [taylor]: Taking taylor expansion of n in n 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [backup-simplify]: Simplify (/ 1 1) into 1 5.558 * [taylor]: Taking taylor expansion of (/ 1 M) in n 5.558 * [taylor]: Taking taylor expansion of M in n 5.558 * [backup-simplify]: Simplify M into M 5.558 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 5.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 5.560 * [backup-simplify]: Simplify (+ 0 0) into 0 5.560 * [backup-simplify]: Simplify (- 0) into 0 5.561 * [backup-simplify]: Simplify (+ 0 0) into 0 5.561 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 5.561 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 5.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 5.561 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 5.561 * [taylor]: Taking taylor expansion of (pow M 2) in n 5.561 * [taylor]: Taking taylor expansion of M in n 5.561 * [backup-simplify]: Simplify M into M 5.561 * [backup-simplify]: Simplify (* M M) into (pow M 2) 5.562 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 5.562 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 5.562 * [taylor]: Taking taylor expansion of 1/4 in n 5.562 * [backup-simplify]: Simplify 1/4 into 1/4 5.562 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 5.562 * [taylor]: Taking taylor expansion of (pow n 2) in n 5.562 * [taylor]: Taking taylor expansion of n in n 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (* 1 1) into 1 5.562 * [backup-simplify]: Simplify (/ 1 1) into 1 5.562 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 5.562 * [taylor]: Taking taylor expansion of (* M n) in n 5.562 * [taylor]: Taking taylor expansion of M in n 5.562 * [backup-simplify]: Simplify M into M 5.562 * [taylor]: Taking taylor expansion of n in n 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (* M 0) into 0 5.563 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 5.563 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 5.563 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 5.563 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 5.563 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 5.563 * [taylor]: Taking taylor expansion of 1/4 in M 5.563 * [backup-simplify]: Simplify 1/4 into 1/4 5.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.564 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 5.564 * [taylor]: Taking taylor expansion of 1/2 in M 5.564 * [backup-simplify]: Simplify 1/2 into 1/2 5.564 * [taylor]: Taking taylor expansion of 1/4 in M 5.564 * [backup-simplify]: Simplify 1/4 into 1/4 5.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 5.566 * [backup-simplify]: Simplify (+ 0 0) into 0 5.566 * [backup-simplify]: Simplify (- 0) into 0 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.567 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 5.567 * [taylor]: Taking taylor expansion of 0 in n 5.567 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.569 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 5.569 * [backup-simplify]: Simplify (+ 0 0) into 0 5.569 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.569 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.569 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.569 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.569 * [taylor]: Taking taylor expansion of M in M 5.569 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify 1 into 1 5.569 * [backup-simplify]: Simplify (/ 1 1) into 1 5.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.570 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 5.570 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 5.570 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 5.570 * [taylor]: Taking taylor expansion of (/ 1 M) in M 5.570 * [taylor]: Taking taylor expansion of M in M 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.571 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [taylor]: Taking taylor expansion of 0 in M 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 5.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 5.573 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (- 0) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.574 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 5.574 * [taylor]: Taking taylor expansion of 0 in n 5.574 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 5.576 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.577 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 5.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.577 * [backup-simplify]: Simplify (- 0) into 0 5.577 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 5.577 * [taylor]: Taking taylor expansion of (pow M 2) in M 5.577 * [taylor]: Taking taylor expansion of M in M 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.577 * [backup-simplify]: Simplify (* 1 1) into 1 5.578 * [backup-simplify]: Simplify (/ 1 1) into 1 5.578 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 5.579 * [backup-simplify]: Simplify (- 0) into 0 5.579 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [taylor]: Taking taylor expansion of 0 in M 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [taylor]: Taking taylor expansion of 0 in M 5.579 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (- 1) into -1 5.580 * [backup-simplify]: Simplify -1 into -1 5.580 * [backup-simplify]: Simplify (- 1) into -1 5.580 * [backup-simplify]: Simplify -1 into -1 5.581 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 5.581 * * * [progress]: simplifying candidates 5.581 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) 1)) (fabs (- m n))))))> 5.581 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.581 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 4 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 5 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 6 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 5.582 * * * * [progress]: [ 9 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (+ 1 1))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1)))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) 2)))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (+ 1 1))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1)))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #real (real->posit16 (exp (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (exp (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #real (real->posit16 (log (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.582 * * * * [progress]: [ 18 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 19 / 64 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 21 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 22 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 23 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 24 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 25 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 27 / 64 ] simplifiying candidate #real (real->posit16 (* (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 28 / 64 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.583 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 31 / 64 ] simplifiying candidate #real (real->posit16 (* (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 32 / 64 ] simplifiying candidate #real (real->posit16 (* (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 35 / 64 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (* 2 1))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 41 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (cbrt (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.584 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (- (sqrt (/ (+ m n) 2)) (sqrt M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 45 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 47 / 64 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 51 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 53 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ (/ (+ m n) 2) M))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 55 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.585 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (+ (/ (+ m n) 2) M))))) (fabs (- m n))))))> 5.586 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (fabs (- m n))))))> 5.586 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 5.586 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 5.586 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 5.586 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 5.586 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #real (real->posit16 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2))))))) (fabs (- m n))))))> 5.586 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n)))))) (fabs (- m n))))))> 5.586 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n)))))) (fabs (- m n))))))> 5.587 * [simplify]: Simplifying: (log (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (exp (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (cbrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (* (* (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (sqrt (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 5.590 * * [simplify]: iteration 0: 103 enodes 5.619 * * [simplify]: iteration 1: 291 enodes 5.708 * * [simplify]: iteration 2: 989 enodes 5.938 * * [simplify]: iteration 3: 2005 enodes 6.280 * * [simplify]: iteration complete: 2005 enodes 6.280 * * [simplify]: Extracting #0: cost 35 inf + 0 6.281 * * [simplify]: Extracting #1: cost 284 inf + 2 6.284 * * [simplify]: Extracting #2: cost 675 inf + 171 6.292 * * [simplify]: Extracting #3: cost 716 inf + 15749 6.326 * * [simplify]: Extracting #4: cost 239 inf + 130058 6.367 * * [simplify]: Extracting #5: cost 59 inf + 177384 6.409 * * [simplify]: Extracting #6: cost 28 inf + 186440 6.454 * * [simplify]: Extracting #7: cost 5 inf + 190223 6.524 * * [simplify]: Extracting #8: cost 0 inf + 191566 6.581 * [simplify]: Simplified to: (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) 2 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 2 (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (fabs (- (/ (+ n m) 2) M)) (fabs (- (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))) (* (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ M (/ (+ n m) 2))) (* (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))) (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ M (/ (+ n m) 2))) (* (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (+ (sqrt (/ (+ n m) 2)) (sqrt M)) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) 2 (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)) (* M (- (- (/ (+ n m) 2) M))) (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (+ (sqrt (/ (+ n m) 2)) (sqrt M))) (* (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M) (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (/ (+ n m) 2) M)) (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (+ (* (+ (* m m) (* n n)) 1/4) (* (* m 1/2) n)) (- (* M M) (* (+ n m) M)) (- (* M M) (* (+ n m) M)) (+ (* (+ (* m m) (* n n)) 1/4) (* (* m 1/2) n)) (- (* M M) (* (+ n m) M)) (- (* M M) (* (+ n m) M)) 6.591 * * * [progress]: adding candidates to table 7.323 * * [progress]: iteration 4 / 4 7.323 * * * [progress]: picking best candidate 7.360 * * * * [pick]: Picked # 7.360 * * * [progress]: localizing error 7.430 * * * [progress]: generating rewritten candidates 7.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 7.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 7.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.496 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 7.680 * * * [progress]: generating series expansions 7.680 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 7.680 * [backup-simplify]: Simplify (cos (- (/ (* K (+ m n)) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 7.680 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 7.680 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 7.680 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 7.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 7.680 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 7.680 * [taylor]: Taking taylor expansion of 1/2 in M 7.680 * [backup-simplify]: Simplify 1/2 into 1/2 7.680 * [taylor]: Taking taylor expansion of (* K n) in M 7.680 * [taylor]: Taking taylor expansion of K in M 7.680 * [backup-simplify]: Simplify K into K 7.680 * [taylor]: Taking taylor expansion of n in M 7.680 * [backup-simplify]: Simplify n into n 7.680 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 7.680 * [taylor]: Taking taylor expansion of 1/2 in M 7.680 * [backup-simplify]: Simplify 1/2 into 1/2 7.680 * [taylor]: Taking taylor expansion of (* K m) in M 7.680 * [taylor]: Taking taylor expansion of K in M 7.680 * [backup-simplify]: Simplify K into K 7.680 * [taylor]: Taking taylor expansion of m in M 7.680 * [backup-simplify]: Simplify m into m 7.680 * [taylor]: Taking taylor expansion of M in M 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 1 into 1 7.680 * [backup-simplify]: Simplify (* K n) into (* K n) 7.680 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 7.680 * [backup-simplify]: Simplify (* K m) into (* K m) 7.680 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 7.680 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 7.681 * [backup-simplify]: Simplify (- 0) into 0 7.681 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 7.681 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 7.681 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 7.681 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 7.681 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 7.681 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 7.681 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 7.682 * [taylor]: Taking taylor expansion of 1/2 in n 7.682 * [backup-simplify]: Simplify 1/2 into 1/2 7.682 * [taylor]: Taking taylor expansion of (* K n) in n 7.682 * [taylor]: Taking taylor expansion of K in n 7.682 * [backup-simplify]: Simplify K into K 7.682 * [taylor]: Taking taylor expansion of n in n 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 1 into 1 7.682 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 7.682 * [taylor]: Taking taylor expansion of 1/2 in n 7.682 * [backup-simplify]: Simplify 1/2 into 1/2 7.682 * [taylor]: Taking taylor expansion of (* K m) in n 7.682 * [taylor]: Taking taylor expansion of K in n 7.682 * [backup-simplify]: Simplify K into K 7.682 * [taylor]: Taking taylor expansion of m in n 7.682 * [backup-simplify]: Simplify m into m 7.682 * [taylor]: Taking taylor expansion of M in n 7.682 * [backup-simplify]: Simplify M into M 7.682 * [backup-simplify]: Simplify (* K 0) into 0 7.682 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.682 * [backup-simplify]: Simplify (* K m) into (* K m) 7.682 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 7.682 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 7.682 * [backup-simplify]: Simplify (- M) into (- M) 7.683 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 7.683 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 7.683 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 7.683 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 7.683 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 7.683 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 7.683 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 7.683 * [taylor]: Taking taylor expansion of 1/2 in m 7.683 * [backup-simplify]: Simplify 1/2 into 1/2 7.683 * [taylor]: Taking taylor expansion of (* K n) in m 7.683 * [taylor]: Taking taylor expansion of K in m 7.683 * [backup-simplify]: Simplify K into K 7.683 * [taylor]: Taking taylor expansion of n in m 7.683 * [backup-simplify]: Simplify n into n 7.683 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 7.683 * [taylor]: Taking taylor expansion of 1/2 in m 7.683 * [backup-simplify]: Simplify 1/2 into 1/2 7.683 * [taylor]: Taking taylor expansion of (* K m) in m 7.683 * [taylor]: Taking taylor expansion of K in m 7.683 * [backup-simplify]: Simplify K into K 7.683 * [taylor]: Taking taylor expansion of m in m 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [taylor]: Taking taylor expansion of M in m 7.683 * [backup-simplify]: Simplify M into M 7.683 * [backup-simplify]: Simplify (* K n) into (* K n) 7.683 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 7.683 * [backup-simplify]: Simplify (* K 0) into 0 7.684 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.684 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 7.684 * [backup-simplify]: Simplify (- M) into (- M) 7.684 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 7.684 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 7.684 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 7.684 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 7.684 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 7.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 7.684 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 7.684 * [taylor]: Taking taylor expansion of 1/2 in K 7.684 * [backup-simplify]: Simplify 1/2 into 1/2 7.684 * [taylor]: Taking taylor expansion of (* K n) in K 7.684 * [taylor]: Taking taylor expansion of K in K 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [taylor]: Taking taylor expansion of n in K 7.684 * [backup-simplify]: Simplify n into n 7.684 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 7.684 * [taylor]: Taking taylor expansion of 1/2 in K 7.684 * [backup-simplify]: Simplify 1/2 into 1/2 7.684 * [taylor]: Taking taylor expansion of (* K m) in K 7.684 * [taylor]: Taking taylor expansion of K in K 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [taylor]: Taking taylor expansion of m in K 7.684 * [backup-simplify]: Simplify m into m 7.684 * [taylor]: Taking taylor expansion of M in K 7.684 * [backup-simplify]: Simplify M into M 7.684 * [backup-simplify]: Simplify (* 0 n) into 0 7.685 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.685 * [backup-simplify]: Simplify (* 0 m) into 0 7.685 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.685 * [backup-simplify]: Simplify (+ 0 0) into 0 7.685 * [backup-simplify]: Simplify (- M) into (- M) 7.685 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 7.685 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.685 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.685 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 7.685 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 7.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 7.686 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 7.686 * [taylor]: Taking taylor expansion of 1/2 in K 7.686 * [backup-simplify]: Simplify 1/2 into 1/2 7.686 * [taylor]: Taking taylor expansion of (* K n) in K 7.686 * [taylor]: Taking taylor expansion of K in K 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of n in K 7.686 * [backup-simplify]: Simplify n into n 7.686 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 7.686 * [taylor]: Taking taylor expansion of 1/2 in K 7.686 * [backup-simplify]: Simplify 1/2 into 1/2 7.686 * [taylor]: Taking taylor expansion of (* K m) in K 7.686 * [taylor]: Taking taylor expansion of K in K 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [taylor]: Taking taylor expansion of m in K 7.686 * [backup-simplify]: Simplify m into m 7.686 * [taylor]: Taking taylor expansion of M in K 7.686 * [backup-simplify]: Simplify M into M 7.686 * [backup-simplify]: Simplify (* 0 n) into 0 7.686 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.686 * [backup-simplify]: Simplify (* 0 m) into 0 7.687 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.687 * [backup-simplify]: Simplify (+ 0 0) into 0 7.687 * [backup-simplify]: Simplify (- M) into (- M) 7.687 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 7.687 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.687 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.687 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 7.687 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 7.688 * [backup-simplify]: Simplify (- 0) into 0 7.688 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 7.688 * [taylor]: Taking taylor expansion of (cos (- M)) in m 7.688 * [taylor]: Taking taylor expansion of (- M) in m 7.688 * [taylor]: Taking taylor expansion of M in m 7.688 * [backup-simplify]: Simplify M into M 7.688 * [backup-simplify]: Simplify (- M) into (- M) 7.688 * [backup-simplify]: Simplify (- M) into (- M) 7.688 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.688 * [backup-simplify]: Simplify (- M) into (- M) 7.688 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.688 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 7.688 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 7.688 * [backup-simplify]: Simplify (- 0) into 0 7.689 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 7.689 * [taylor]: Taking taylor expansion of (cos (- M)) in n 7.689 * [taylor]: Taking taylor expansion of (- M) in n 7.689 * [taylor]: Taking taylor expansion of M in n 7.689 * [backup-simplify]: Simplify M into M 7.689 * [backup-simplify]: Simplify (- M) into (- M) 7.689 * [backup-simplify]: Simplify (- M) into (- M) 7.689 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.689 * [backup-simplify]: Simplify (- M) into (- M) 7.689 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.689 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 7.689 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 7.689 * [backup-simplify]: Simplify (- 0) into 0 7.689 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 7.689 * [taylor]: Taking taylor expansion of (cos (- M)) in M 7.689 * [taylor]: Taking taylor expansion of (- M) in M 7.689 * [taylor]: Taking taylor expansion of M in M 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.690 * [backup-simplify]: Simplify (- 0) into 0 7.690 * [backup-simplify]: Simplify (- 1) into -1 7.690 * [backup-simplify]: Simplify 1 into 1 7.691 * [backup-simplify]: Simplify (+ 0) into 0 7.691 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 7.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.692 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 7.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 7.693 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 7.693 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 7.693 * [backup-simplify]: Simplify (- 0) into 0 7.693 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 7.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 7.694 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 7.695 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 7.695 * [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)))))) 7.695 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 7.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 7.695 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 7.695 * [taylor]: Taking taylor expansion of 1/2 in m 7.695 * [backup-simplify]: Simplify 1/2 into 1/2 7.695 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 7.695 * [taylor]: Taking taylor expansion of (sin (- M)) in m 7.695 * [taylor]: Taking taylor expansion of (- M) in m 7.695 * [taylor]: Taking taylor expansion of M in m 7.695 * [backup-simplify]: Simplify M into M 7.695 * [backup-simplify]: Simplify (- M) into (- M) 7.695 * [backup-simplify]: Simplify (- M) into (- M) 7.695 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.695 * [backup-simplify]: Simplify (- M) into (- M) 7.695 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.695 * [taylor]: Taking taylor expansion of n in m 7.695 * [backup-simplify]: Simplify n into n 7.695 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 7.695 * [taylor]: Taking taylor expansion of 1/2 in m 7.696 * [backup-simplify]: Simplify 1/2 into 1/2 7.696 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 7.696 * [taylor]: Taking taylor expansion of m in m 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.696 * [taylor]: Taking taylor expansion of (sin (- M)) in m 7.696 * [taylor]: Taking taylor expansion of (- M) in m 7.696 * [taylor]: Taking taylor expansion of M in m 7.696 * [backup-simplify]: Simplify M into M 7.696 * [backup-simplify]: Simplify (- M) into (- M) 7.696 * [backup-simplify]: Simplify (- M) into (- M) 7.696 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.696 * [backup-simplify]: Simplify (- M) into (- M) 7.696 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.696 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 7.696 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 7.696 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 7.696 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 7.696 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 7.696 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 7.696 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 7.697 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 7.697 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 7.697 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.697 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 7.698 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 7.698 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 7.698 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 7.698 * [taylor]: Taking taylor expansion of 1/2 in n 7.698 * [backup-simplify]: Simplify 1/2 into 1/2 7.698 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 7.698 * [taylor]: Taking taylor expansion of (sin (- M)) in n 7.698 * [taylor]: Taking taylor expansion of (- M) in n 7.698 * [taylor]: Taking taylor expansion of M in n 7.698 * [backup-simplify]: Simplify M into M 7.698 * [backup-simplify]: Simplify (- M) into (- M) 7.698 * [backup-simplify]: Simplify (- M) into (- M) 7.698 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.698 * [backup-simplify]: Simplify (- M) into (- M) 7.698 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.698 * [taylor]: Taking taylor expansion of n in n 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 7.698 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 7.698 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 7.698 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 7.699 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.699 * [backup-simplify]: Simplify (- 0) into 0 7.699 * [taylor]: Taking taylor expansion of 0 in M 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify (+ 0) into 0 7.700 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 7.701 * [backup-simplify]: Simplify (- 0) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.702 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 7.702 * [backup-simplify]: Simplify (- 0) into 0 7.703 * [backup-simplify]: Simplify (+ 0 0) into 0 7.703 * [taylor]: Taking taylor expansion of 0 in n 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [taylor]: Taking taylor expansion of 0 in M 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify (+ 0) into 0 7.704 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 7.704 * [backup-simplify]: Simplify (- 0) into 0 7.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.705 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 7.705 * [backup-simplify]: Simplify (- 0) into 0 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.706 * [taylor]: Taking taylor expansion of 0 in M 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify (+ 0) into 0 7.706 * [backup-simplify]: Simplify 0 into 0 7.707 * [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))))) 7.708 * [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)))))) 7.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 7.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 7.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 7.713 * [backup-simplify]: Simplify (+ 0 0) into 0 7.714 * [backup-simplify]: Simplify (- 0) into 0 7.714 * [backup-simplify]: Simplify (+ 0 0) into 0 7.715 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.716 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 7.716 * [backup-simplify]: Simplify (- 0) into 0 7.717 * [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)))))) 7.717 * [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 7.717 * [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 7.717 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 7.717 * [taylor]: Taking taylor expansion of 1/8 in m 7.717 * [backup-simplify]: Simplify 1/8 into 1/8 7.717 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 7.717 * [taylor]: Taking taylor expansion of (pow m 2) in m 7.717 * [taylor]: Taking taylor expansion of m in m 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 1 into 1 7.717 * [taylor]: Taking taylor expansion of (cos (- M)) in m 7.717 * [taylor]: Taking taylor expansion of (- M) in m 7.717 * [taylor]: Taking taylor expansion of M in m 7.717 * [backup-simplify]: Simplify M into M 7.718 * [backup-simplify]: Simplify (- M) into (- M) 7.718 * [backup-simplify]: Simplify (- M) into (- M) 7.718 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.718 * [backup-simplify]: Simplify (- M) into (- M) 7.718 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.718 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 7.718 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 7.718 * [taylor]: Taking taylor expansion of 1/8 in m 7.718 * [backup-simplify]: Simplify 1/8 into 1/8 7.718 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 7.718 * [taylor]: Taking taylor expansion of (cos (- M)) in m 7.718 * [taylor]: Taking taylor expansion of (- M) in m 7.718 * [taylor]: Taking taylor expansion of M in m 7.718 * [backup-simplify]: Simplify M into M 7.718 * [backup-simplify]: Simplify (- M) into (- M) 7.718 * [backup-simplify]: Simplify (- M) into (- M) 7.718 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.719 * [backup-simplify]: Simplify (- M) into (- M) 7.719 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.719 * [taylor]: Taking taylor expansion of (pow n 2) in m 7.719 * [taylor]: Taking taylor expansion of n in m 7.719 * [backup-simplify]: Simplify n into n 7.719 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 7.719 * [taylor]: Taking taylor expansion of 1/4 in m 7.719 * [backup-simplify]: Simplify 1/4 into 1/4 7.719 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 7.719 * [taylor]: Taking taylor expansion of m in m 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 7.719 * [taylor]: Taking taylor expansion of (cos (- M)) in m 7.719 * [taylor]: Taking taylor expansion of (- M) in m 7.719 * [taylor]: Taking taylor expansion of M in m 7.719 * [backup-simplify]: Simplify M into M 7.719 * [backup-simplify]: Simplify (- M) into (- M) 7.719 * [backup-simplify]: Simplify (- M) into (- M) 7.719 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.719 * [backup-simplify]: Simplify (- M) into (- M) 7.719 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.719 * [taylor]: Taking taylor expansion of n in m 7.719 * [backup-simplify]: Simplify n into n 7.719 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 7.720 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 7.720 * [backup-simplify]: Simplify (- 0) into 0 7.720 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 7.720 * [backup-simplify]: Simplify (* n n) into (pow n 2) 7.720 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 7.721 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 7.721 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 7.721 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 7.721 * [backup-simplify]: Simplify (- 0) into 0 7.721 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 7.721 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 7.721 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 7.722 * [backup-simplify]: Simplify (* 1/4 0) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 7.722 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 7.722 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 7.722 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 7.722 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 7.722 * [taylor]: Taking taylor expansion of 1/8 in n 7.722 * [backup-simplify]: Simplify 1/8 into 1/8 7.722 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 7.722 * [taylor]: Taking taylor expansion of (cos (- M)) in n 7.723 * [taylor]: Taking taylor expansion of (- M) in n 7.723 * [taylor]: Taking taylor expansion of M in n 7.723 * [backup-simplify]: Simplify M into M 7.723 * [backup-simplify]: Simplify (- M) into (- M) 7.723 * [backup-simplify]: Simplify (- M) into (- M) 7.723 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.723 * [backup-simplify]: Simplify (- M) into (- M) 7.723 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.723 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.723 * [taylor]: Taking taylor expansion of n in n 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (+ 0) into 0 7.724 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 7.724 * [backup-simplify]: Simplify (- 0) into 0 7.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.726 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 7.726 * [backup-simplify]: Simplify (+ 0 0) into 0 7.726 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 7.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 7.727 * [backup-simplify]: Simplify (+ 0) into 0 7.727 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 7.728 * [backup-simplify]: Simplify (- 0) into 0 7.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.729 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 7.729 * [backup-simplify]: Simplify (+ 0 0) into 0 7.730 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 7.730 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 7.730 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 7.730 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 7.730 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 7.730 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 7.730 * [taylor]: Taking taylor expansion of 1/2 in n 7.730 * [backup-simplify]: Simplify 1/2 into 1/2 7.730 * [taylor]: Taking taylor expansion of (sin (- M)) in n 7.730 * [taylor]: Taking taylor expansion of (- M) in n 7.730 * [taylor]: Taking taylor expansion of M in n 7.730 * [backup-simplify]: Simplify M into M 7.730 * [backup-simplify]: Simplify (- M) into (- M) 7.730 * [backup-simplify]: Simplify (- M) into (- M) 7.730 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 7.730 * [backup-simplify]: Simplify (- M) into (- M) 7.731 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 7.731 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 7.731 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 7.731 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 7.731 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 7.731 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 7.731 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 7.731 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 7.731 * [taylor]: Taking taylor expansion of 1/2 in M 7.731 * [backup-simplify]: Simplify 1/2 into 1/2 7.731 * [taylor]: Taking taylor expansion of (sin (- M)) in M 7.731 * [taylor]: Taking taylor expansion of (- M) in M 7.731 * [taylor]: Taking taylor expansion of M in M 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (- 0) into 0 7.732 * [backup-simplify]: Simplify (- 1) into -1 7.732 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.733 * [backup-simplify]: Simplify (- 0) into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (- 0) into 0 7.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.734 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 7.735 * [backup-simplify]: Simplify (- 0) into 0 7.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.736 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 7.736 * [backup-simplify]: Simplify (- 0) into 0 7.737 * [backup-simplify]: Simplify (+ 0 0) into 0 7.737 * [taylor]: Taking taylor expansion of 0 in n 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [taylor]: Taking taylor expansion of 0 in M 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 0 into 0 7.737 * [backup-simplify]: Simplify 1 into 1 7.737 * [backup-simplify]: Simplify (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 7.737 * [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 7.737 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 7.737 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 7.737 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 7.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 7.737 * [taylor]: Taking taylor expansion of 1/2 in M 7.737 * [backup-simplify]: Simplify 1/2 into 1/2 7.737 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 7.737 * [taylor]: Taking taylor expansion of (* m K) in M 7.737 * [taylor]: Taking taylor expansion of m in M 7.737 * [backup-simplify]: Simplify m into m 7.737 * [taylor]: Taking taylor expansion of K in M 7.738 * [backup-simplify]: Simplify K into K 7.738 * [backup-simplify]: Simplify (* m K) into (* m K) 7.738 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 7.738 * [taylor]: Taking taylor expansion of 1/2 in M 7.738 * [backup-simplify]: Simplify 1/2 into 1/2 7.738 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 7.738 * [taylor]: Taking taylor expansion of (* K n) in M 7.738 * [taylor]: Taking taylor expansion of K in M 7.738 * [backup-simplify]: Simplify K into K 7.738 * [taylor]: Taking taylor expansion of n in M 7.738 * [backup-simplify]: Simplify n into n 7.738 * [backup-simplify]: Simplify (* K n) into (* K n) 7.738 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.738 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.738 * [taylor]: Taking taylor expansion of M in M 7.738 * [backup-simplify]: Simplify 0 into 0 7.738 * [backup-simplify]: Simplify 1 into 1 7.738 * [backup-simplify]: Simplify (/ 1 1) into 1 7.739 * [backup-simplify]: Simplify (- 1) into -1 7.739 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.740 * [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))) 7.740 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 7.740 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 7.740 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 7.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 7.740 * [taylor]: Taking taylor expansion of 1/2 in n 7.740 * [backup-simplify]: Simplify 1/2 into 1/2 7.740 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 7.740 * [taylor]: Taking taylor expansion of (* m K) in n 7.740 * [taylor]: Taking taylor expansion of m in n 7.740 * [backup-simplify]: Simplify m into m 7.740 * [taylor]: Taking taylor expansion of K in n 7.740 * [backup-simplify]: Simplify K into K 7.740 * [backup-simplify]: Simplify (* m K) into (* m K) 7.740 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 7.740 * [taylor]: Taking taylor expansion of 1/2 in n 7.740 * [backup-simplify]: Simplify 1/2 into 1/2 7.740 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 7.740 * [taylor]: Taking taylor expansion of (* K n) in n 7.740 * [taylor]: Taking taylor expansion of K in n 7.740 * [backup-simplify]: Simplify K into K 7.740 * [taylor]: Taking taylor expansion of n in n 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (* K 0) into 0 7.741 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 7.741 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.741 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.741 * [taylor]: Taking taylor expansion of M in n 7.741 * [backup-simplify]: Simplify M into M 7.741 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.741 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.741 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 7.741 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 7.741 * [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))) 7.741 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 7.742 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 7.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 7.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 7.742 * [taylor]: Taking taylor expansion of 1/2 in m 7.742 * [backup-simplify]: Simplify 1/2 into 1/2 7.742 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 7.742 * [taylor]: Taking taylor expansion of (* m K) in m 7.742 * [taylor]: Taking taylor expansion of m in m 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 1 into 1 7.742 * [taylor]: Taking taylor expansion of K in m 7.742 * [backup-simplify]: Simplify K into K 7.742 * [backup-simplify]: Simplify (* 0 K) into 0 7.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 7.742 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 7.742 * [taylor]: Taking taylor expansion of 1/2 in m 7.742 * [backup-simplify]: Simplify 1/2 into 1/2 7.742 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 7.742 * [taylor]: Taking taylor expansion of (* K n) in m 7.743 * [taylor]: Taking taylor expansion of K in m 7.743 * [backup-simplify]: Simplify K into K 7.743 * [taylor]: Taking taylor expansion of n in m 7.743 * [backup-simplify]: Simplify n into n 7.743 * [backup-simplify]: Simplify (* K n) into (* K n) 7.743 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.743 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.743 * [taylor]: Taking taylor expansion of M in m 7.743 * [backup-simplify]: Simplify M into M 7.743 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.743 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.743 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 7.743 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 7.743 * [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))) 7.743 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 7.743 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 7.743 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.744 * [taylor]: Taking taylor expansion of 1/2 in K 7.744 * [backup-simplify]: Simplify 1/2 into 1/2 7.744 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.744 * [taylor]: Taking taylor expansion of (* m K) in K 7.744 * [taylor]: Taking taylor expansion of m in K 7.744 * [backup-simplify]: Simplify m into m 7.744 * [taylor]: Taking taylor expansion of K in K 7.744 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify 1 into 1 7.744 * [backup-simplify]: Simplify (* m 0) into 0 7.744 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.744 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.744 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.744 * [taylor]: Taking taylor expansion of 1/2 in K 7.744 * [backup-simplify]: Simplify 1/2 into 1/2 7.744 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.744 * [taylor]: Taking taylor expansion of (* K n) in K 7.745 * [taylor]: Taking taylor expansion of K in K 7.745 * [backup-simplify]: Simplify 0 into 0 7.745 * [backup-simplify]: Simplify 1 into 1 7.745 * [taylor]: Taking taylor expansion of n in K 7.745 * [backup-simplify]: Simplify n into n 7.745 * [backup-simplify]: Simplify (* 0 n) into 0 7.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.745 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.745 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.745 * [taylor]: Taking taylor expansion of M in K 7.745 * [backup-simplify]: Simplify M into M 7.745 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.745 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 7.745 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.745 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.746 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.746 * [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))) 7.746 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 7.746 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 7.746 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.746 * [taylor]: Taking taylor expansion of 1/2 in K 7.746 * [backup-simplify]: Simplify 1/2 into 1/2 7.746 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.746 * [taylor]: Taking taylor expansion of (* m K) in K 7.746 * [taylor]: Taking taylor expansion of m in K 7.746 * [backup-simplify]: Simplify m into m 7.746 * [taylor]: Taking taylor expansion of K in K 7.746 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify 1 into 1 7.746 * [backup-simplify]: Simplify (* m 0) into 0 7.747 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.747 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.747 * [taylor]: Taking taylor expansion of 1/2 in K 7.747 * [backup-simplify]: Simplify 1/2 into 1/2 7.747 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.747 * [taylor]: Taking taylor expansion of (* K n) in K 7.747 * [taylor]: Taking taylor expansion of K in K 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 1 into 1 7.747 * [taylor]: Taking taylor expansion of n in K 7.747 * [backup-simplify]: Simplify n into n 7.747 * [backup-simplify]: Simplify (* 0 n) into 0 7.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.748 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.748 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.748 * [taylor]: Taking taylor expansion of M in K 7.748 * [backup-simplify]: Simplify M into M 7.748 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.748 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 7.748 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.748 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.748 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.749 * [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))) 7.749 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 7.749 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 7.749 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 7.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 7.749 * [taylor]: Taking taylor expansion of 1/2 in m 7.749 * [backup-simplify]: Simplify 1/2 into 1/2 7.749 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 7.749 * [taylor]: Taking taylor expansion of (* m K) in m 7.749 * [taylor]: Taking taylor expansion of m in m 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 1 into 1 7.749 * [taylor]: Taking taylor expansion of K in m 7.749 * [backup-simplify]: Simplify K into K 7.749 * [backup-simplify]: Simplify (* 0 K) into 0 7.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 7.749 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 7.750 * [taylor]: Taking taylor expansion of 1/2 in m 7.750 * [backup-simplify]: Simplify 1/2 into 1/2 7.750 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 7.750 * [taylor]: Taking taylor expansion of (* K n) in m 7.750 * [taylor]: Taking taylor expansion of K in m 7.750 * [backup-simplify]: Simplify K into K 7.750 * [taylor]: Taking taylor expansion of n in m 7.750 * [backup-simplify]: Simplify n into n 7.750 * [backup-simplify]: Simplify (* K n) into (* K n) 7.750 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.750 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.750 * [taylor]: Taking taylor expansion of M in m 7.750 * [backup-simplify]: Simplify M into M 7.750 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.750 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.750 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 7.750 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 7.750 * [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))) 7.751 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 7.751 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 7.751 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 7.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 7.751 * [taylor]: Taking taylor expansion of 1/2 in n 7.751 * [backup-simplify]: Simplify 1/2 into 1/2 7.751 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 7.751 * [taylor]: Taking taylor expansion of (* m K) in n 7.751 * [taylor]: Taking taylor expansion of m in n 7.751 * [backup-simplify]: Simplify m into m 7.751 * [taylor]: Taking taylor expansion of K in n 7.751 * [backup-simplify]: Simplify K into K 7.751 * [backup-simplify]: Simplify (* m K) into (* m K) 7.751 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 7.751 * [taylor]: Taking taylor expansion of 1/2 in n 7.751 * [backup-simplify]: Simplify 1/2 into 1/2 7.751 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 7.751 * [taylor]: Taking taylor expansion of (* K n) in n 7.751 * [taylor]: Taking taylor expansion of K in n 7.751 * [backup-simplify]: Simplify K into K 7.751 * [taylor]: Taking taylor expansion of n in n 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 1 into 1 7.751 * [backup-simplify]: Simplify (* K 0) into 0 7.752 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 7.752 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.752 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.752 * [taylor]: Taking taylor expansion of M in n 7.752 * [backup-simplify]: Simplify M into M 7.752 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.752 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.752 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 7.752 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 7.752 * [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))) 7.752 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 7.752 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 7.753 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 7.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 7.753 * [taylor]: Taking taylor expansion of 1/2 in M 7.753 * [backup-simplify]: Simplify 1/2 into 1/2 7.753 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 7.753 * [taylor]: Taking taylor expansion of (* m K) in M 7.753 * [taylor]: Taking taylor expansion of m in M 7.753 * [backup-simplify]: Simplify m into m 7.753 * [taylor]: Taking taylor expansion of K in M 7.753 * [backup-simplify]: Simplify K into K 7.753 * [backup-simplify]: Simplify (* m K) into (* m K) 7.753 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 7.753 * [taylor]: Taking taylor expansion of 1/2 in M 7.753 * [backup-simplify]: Simplify 1/2 into 1/2 7.753 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 7.753 * [taylor]: Taking taylor expansion of (* K n) in M 7.753 * [taylor]: Taking taylor expansion of K in M 7.753 * [backup-simplify]: Simplify K into K 7.753 * [taylor]: Taking taylor expansion of n in M 7.753 * [backup-simplify]: Simplify n into n 7.753 * [backup-simplify]: Simplify (* K n) into (* K n) 7.753 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.753 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.753 * [taylor]: Taking taylor expansion of M in M 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.754 * [backup-simplify]: Simplify (/ 1 1) into 1 7.754 * [backup-simplify]: Simplify (- 1) into -1 7.754 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.755 * [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))) 7.755 * [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))) 7.755 * [taylor]: Taking taylor expansion of 0 in m 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [taylor]: Taking taylor expansion of 0 in n 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [taylor]: Taking taylor expansion of 0 in M 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [taylor]: Taking taylor expansion of 0 in n 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [taylor]: Taking taylor expansion of 0 in M 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 0 into 0 7.756 * [taylor]: Taking taylor expansion of 0 in M 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [taylor]: Taking taylor expansion of 0 in m 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [taylor]: Taking taylor expansion of 0 in n 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [taylor]: Taking taylor expansion of 0 in M 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [taylor]: Taking taylor expansion of 0 in n 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [taylor]: Taking taylor expansion of 0 in M 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [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)) 7.757 * [backup-simplify]: Simplify (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 7.757 * [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 7.757 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 7.757 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 7.757 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.757 * [taylor]: Taking taylor expansion of M in M 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 7.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 7.758 * [taylor]: Taking taylor expansion of 1/2 in M 7.758 * [backup-simplify]: Simplify 1/2 into 1/2 7.758 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 7.758 * [taylor]: Taking taylor expansion of (* m K) in M 7.758 * [taylor]: Taking taylor expansion of m in M 7.758 * [backup-simplify]: Simplify m into m 7.758 * [taylor]: Taking taylor expansion of K in M 7.758 * [backup-simplify]: Simplify K into K 7.758 * [backup-simplify]: Simplify (* m K) into (* m K) 7.758 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 7.758 * [taylor]: Taking taylor expansion of 1/2 in M 7.758 * [backup-simplify]: Simplify 1/2 into 1/2 7.758 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 7.758 * [taylor]: Taking taylor expansion of (* K n) in M 7.758 * [taylor]: Taking taylor expansion of K in M 7.758 * [backup-simplify]: Simplify K into K 7.758 * [taylor]: Taking taylor expansion of n in M 7.758 * [backup-simplify]: Simplify n into n 7.758 * [backup-simplify]: Simplify (* K n) into (* K n) 7.758 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.759 * [backup-simplify]: Simplify (+ 1 0) into 1 7.759 * [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)))))) 7.759 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 7.759 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 7.759 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.759 * [taylor]: Taking taylor expansion of M in n 7.759 * [backup-simplify]: Simplify M into M 7.759 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.759 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 7.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 7.759 * [taylor]: Taking taylor expansion of 1/2 in n 7.759 * [backup-simplify]: Simplify 1/2 into 1/2 7.759 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 7.759 * [taylor]: Taking taylor expansion of (* m K) in n 7.759 * [taylor]: Taking taylor expansion of m in n 7.760 * [backup-simplify]: Simplify m into m 7.760 * [taylor]: Taking taylor expansion of K in n 7.760 * [backup-simplify]: Simplify K into K 7.760 * [backup-simplify]: Simplify (* m K) into (* m K) 7.760 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 7.760 * [taylor]: Taking taylor expansion of 1/2 in n 7.760 * [backup-simplify]: Simplify 1/2 into 1/2 7.760 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 7.760 * [taylor]: Taking taylor expansion of (* K n) in n 7.760 * [taylor]: Taking taylor expansion of K in n 7.760 * [backup-simplify]: Simplify K into K 7.760 * [taylor]: Taking taylor expansion of n in n 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.760 * [backup-simplify]: Simplify (* K 0) into 0 7.760 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 7.761 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.761 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.761 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 7.761 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 7.761 * [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)))))) 7.761 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 7.761 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 7.761 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.761 * [taylor]: Taking taylor expansion of M in m 7.761 * [backup-simplify]: Simplify M into M 7.761 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.761 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 7.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 7.761 * [taylor]: Taking taylor expansion of 1/2 in m 7.761 * [backup-simplify]: Simplify 1/2 into 1/2 7.761 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 7.761 * [taylor]: Taking taylor expansion of (* m K) in m 7.762 * [taylor]: Taking taylor expansion of m in m 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [taylor]: Taking taylor expansion of K in m 7.762 * [backup-simplify]: Simplify K into K 7.762 * [backup-simplify]: Simplify (* 0 K) into 0 7.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 7.762 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 7.762 * [taylor]: Taking taylor expansion of 1/2 in m 7.762 * [backup-simplify]: Simplify 1/2 into 1/2 7.762 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 7.763 * [taylor]: Taking taylor expansion of (* K n) in m 7.763 * [taylor]: Taking taylor expansion of K in m 7.763 * [backup-simplify]: Simplify K into K 7.763 * [taylor]: Taking taylor expansion of n in m 7.763 * [backup-simplify]: Simplify n into n 7.763 * [backup-simplify]: Simplify (* K n) into (* K n) 7.763 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.763 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.763 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 7.763 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 7.764 * [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)))))) 7.764 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 7.764 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 7.764 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.764 * [taylor]: Taking taylor expansion of M in K 7.764 * [backup-simplify]: Simplify M into M 7.764 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.764 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.764 * [taylor]: Taking taylor expansion of 1/2 in K 7.764 * [backup-simplify]: Simplify 1/2 into 1/2 7.764 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.764 * [taylor]: Taking taylor expansion of (* m K) in K 7.764 * [taylor]: Taking taylor expansion of m in K 7.764 * [backup-simplify]: Simplify m into m 7.764 * [taylor]: Taking taylor expansion of K in K 7.764 * [backup-simplify]: Simplify 0 into 0 7.764 * [backup-simplify]: Simplify 1 into 1 7.764 * [backup-simplify]: Simplify (* m 0) into 0 7.765 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.765 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.765 * [taylor]: Taking taylor expansion of 1/2 in K 7.765 * [backup-simplify]: Simplify 1/2 into 1/2 7.765 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.765 * [taylor]: Taking taylor expansion of (* K n) in K 7.765 * [taylor]: Taking taylor expansion of K in K 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [taylor]: Taking taylor expansion of n in K 7.765 * [backup-simplify]: Simplify n into n 7.765 * [backup-simplify]: Simplify (* 0 n) into 0 7.766 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.766 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.766 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 7.766 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.766 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.766 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.767 * [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)))))) 7.767 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 7.767 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 7.767 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.767 * [taylor]: Taking taylor expansion of M in K 7.767 * [backup-simplify]: Simplify M into M 7.767 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.767 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.767 * [taylor]: Taking taylor expansion of 1/2 in K 7.767 * [backup-simplify]: Simplify 1/2 into 1/2 7.767 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.767 * [taylor]: Taking taylor expansion of (* m K) in K 7.767 * [taylor]: Taking taylor expansion of m in K 7.767 * [backup-simplify]: Simplify m into m 7.767 * [taylor]: Taking taylor expansion of K in K 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 1 into 1 7.767 * [backup-simplify]: Simplify (* m 0) into 0 7.768 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.768 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.768 * [taylor]: Taking taylor expansion of 1/2 in K 7.768 * [backup-simplify]: Simplify 1/2 into 1/2 7.768 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.768 * [taylor]: Taking taylor expansion of (* K n) in K 7.768 * [taylor]: Taking taylor expansion of K in K 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.768 * [taylor]: Taking taylor expansion of n in K 7.768 * [backup-simplify]: Simplify n into n 7.768 * [backup-simplify]: Simplify (* 0 n) into 0 7.769 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.769 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.769 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 7.769 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.769 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.769 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.769 * [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)))))) 7.769 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 7.770 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 7.770 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.770 * [taylor]: Taking taylor expansion of M in m 7.770 * [backup-simplify]: Simplify M into M 7.770 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.770 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 7.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 7.770 * [taylor]: Taking taylor expansion of 1/2 in m 7.770 * [backup-simplify]: Simplify 1/2 into 1/2 7.770 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 7.770 * [taylor]: Taking taylor expansion of (* m K) in m 7.770 * [taylor]: Taking taylor expansion of m in m 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.770 * [taylor]: Taking taylor expansion of K in m 7.770 * [backup-simplify]: Simplify K into K 7.770 * [backup-simplify]: Simplify (* 0 K) into 0 7.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 7.770 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 7.771 * [taylor]: Taking taylor expansion of 1/2 in m 7.771 * [backup-simplify]: Simplify 1/2 into 1/2 7.771 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 7.771 * [taylor]: Taking taylor expansion of (* K n) in m 7.771 * [taylor]: Taking taylor expansion of K in m 7.771 * [backup-simplify]: Simplify K into K 7.771 * [taylor]: Taking taylor expansion of n in m 7.771 * [backup-simplify]: Simplify n into n 7.771 * [backup-simplify]: Simplify (* K n) into (* K n) 7.771 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.771 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 7.771 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 7.771 * [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)))))) 7.771 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 7.771 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 7.771 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.771 * [taylor]: Taking taylor expansion of M in n 7.772 * [backup-simplify]: Simplify M into M 7.772 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.772 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 7.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 7.772 * [taylor]: Taking taylor expansion of 1/2 in n 7.772 * [backup-simplify]: Simplify 1/2 into 1/2 7.772 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 7.772 * [taylor]: Taking taylor expansion of (* m K) in n 7.772 * [taylor]: Taking taylor expansion of m in n 7.772 * [backup-simplify]: Simplify m into m 7.772 * [taylor]: Taking taylor expansion of K in n 7.772 * [backup-simplify]: Simplify K into K 7.772 * [backup-simplify]: Simplify (* m K) into (* m K) 7.772 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 7.772 * [taylor]: Taking taylor expansion of 1/2 in n 7.772 * [backup-simplify]: Simplify 1/2 into 1/2 7.772 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 7.772 * [taylor]: Taking taylor expansion of (* K n) in n 7.772 * [taylor]: Taking taylor expansion of K in n 7.772 * [backup-simplify]: Simplify K into K 7.772 * [taylor]: Taking taylor expansion of n in n 7.772 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify 1 into 1 7.772 * [backup-simplify]: Simplify (* K 0) into 0 7.773 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 7.773 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.773 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 7.773 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 7.773 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 7.773 * [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)))))) 7.773 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 7.773 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 7.774 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.774 * [taylor]: Taking taylor expansion of M in M 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.774 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 7.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 7.774 * [taylor]: Taking taylor expansion of 1/2 in M 7.774 * [backup-simplify]: Simplify 1/2 into 1/2 7.774 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 7.774 * [taylor]: Taking taylor expansion of (* m K) in M 7.774 * [taylor]: Taking taylor expansion of m in M 7.774 * [backup-simplify]: Simplify m into m 7.774 * [taylor]: Taking taylor expansion of K in M 7.774 * [backup-simplify]: Simplify K into K 7.774 * [backup-simplify]: Simplify (* m K) into (* m K) 7.774 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 7.774 * [taylor]: Taking taylor expansion of 1/2 in M 7.774 * [backup-simplify]: Simplify 1/2 into 1/2 7.774 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 7.774 * [taylor]: Taking taylor expansion of (* K n) in M 7.775 * [taylor]: Taking taylor expansion of K in M 7.775 * [backup-simplify]: Simplify K into K 7.775 * [taylor]: Taking taylor expansion of n in M 7.775 * [backup-simplify]: Simplify n into n 7.775 * [backup-simplify]: Simplify (* K n) into (* K n) 7.775 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.775 * [backup-simplify]: Simplify (+ 1 0) into 1 7.775 * [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)))))) 7.776 * [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)))))) 7.776 * [taylor]: Taking taylor expansion of 0 in m 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in n 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in M 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in n 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in M 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in M 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in m 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in n 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [taylor]: Taking taylor expansion of 0 in M 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in n 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [taylor]: Taking taylor expansion of 0 in M 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [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)) 7.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 7.777 * [backup-simplify]: Simplify (* K (+ m n)) into (* K (+ m n)) 7.777 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (K m n) around 0 7.777 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 7.777 * [taylor]: Taking taylor expansion of K in n 7.777 * [backup-simplify]: Simplify K into K 7.777 * [taylor]: Taking taylor expansion of (+ m n) in n 7.777 * [taylor]: Taking taylor expansion of m in n 7.777 * [backup-simplify]: Simplify m into m 7.778 * [taylor]: Taking taylor expansion of n in n 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 7.778 * [taylor]: Taking taylor expansion of K in m 7.778 * [backup-simplify]: Simplify K into K 7.778 * [taylor]: Taking taylor expansion of (+ m n) in m 7.778 * [taylor]: Taking taylor expansion of m in m 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [taylor]: Taking taylor expansion of n in m 7.778 * [backup-simplify]: Simplify n into n 7.778 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 7.778 * [taylor]: Taking taylor expansion of K in K 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [taylor]: Taking taylor expansion of (+ m n) in K 7.778 * [taylor]: Taking taylor expansion of m in K 7.778 * [backup-simplify]: Simplify m into m 7.778 * [taylor]: Taking taylor expansion of n in K 7.778 * [backup-simplify]: Simplify n into n 7.778 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 7.778 * [taylor]: Taking taylor expansion of K in K 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [taylor]: Taking taylor expansion of (+ m n) in K 7.778 * [taylor]: Taking taylor expansion of m in K 7.778 * [backup-simplify]: Simplify m into m 7.778 * [taylor]: Taking taylor expansion of n in K 7.778 * [backup-simplify]: Simplify n into n 7.778 * [backup-simplify]: Simplify (+ m n) into (+ m n) 7.778 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 7.778 * [taylor]: Taking taylor expansion of 0 in m 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [taylor]: Taking taylor expansion of 0 in n 7.778 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 7.780 * [taylor]: Taking taylor expansion of (+ m n) in m 7.780 * [taylor]: Taking taylor expansion of m in m 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of n in m 7.780 * [backup-simplify]: Simplify n into n 7.780 * [backup-simplify]: Simplify (+ 0 n) into n 7.780 * [taylor]: Taking taylor expansion of n in n 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [taylor]: Taking taylor expansion of 0 in n 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 0 into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 7.784 * [taylor]: Taking taylor expansion of 0 in m 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [taylor]: Taking taylor expansion of 0 in n 7.784 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify (+ 1 0) into 1 7.785 * [taylor]: Taking taylor expansion of 1 in n 7.785 * [backup-simplify]: Simplify 1 into 1 7.785 * [backup-simplify]: Simplify 1 into 1 7.785 * [taylor]: Taking taylor expansion of 0 in n 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 1 into 1 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (+ 0 0) into 0 7.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 7.787 * [taylor]: Taking taylor expansion of 0 in m 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [taylor]: Taking taylor expansion of 0 in n 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [taylor]: Taking taylor expansion of 0 in n 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify (+ 0 0) into 0 7.787 * [taylor]: Taking taylor expansion of 0 in n 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [backup-simplify]: Simplify 0 into 0 7.787 * [taylor]: Taking taylor expansion of 0 in n 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* K n)) 7.788 * [backup-simplify]: Simplify (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) into (/ (+ (/ 1 m) (/ 1 n)) K) 7.788 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 7.788 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 7.788 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 7.788 * [taylor]: Taking taylor expansion of (/ 1 m) in n 7.788 * [taylor]: Taking taylor expansion of m in n 7.788 * [backup-simplify]: Simplify m into m 7.788 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.788 * [taylor]: Taking taylor expansion of n in n 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.789 * [backup-simplify]: Simplify (/ 1 1) into 1 7.789 * [taylor]: Taking taylor expansion of K in n 7.789 * [backup-simplify]: Simplify K into K 7.789 * [backup-simplify]: Simplify (+ 0 1) into 1 7.789 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.789 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 7.789 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 7.789 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.789 * [taylor]: Taking taylor expansion of m in m 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 1 into 1 7.790 * [backup-simplify]: Simplify (/ 1 1) into 1 7.790 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.790 * [taylor]: Taking taylor expansion of n in m 7.790 * [backup-simplify]: Simplify n into n 7.790 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.790 * [taylor]: Taking taylor expansion of K in m 7.790 * [backup-simplify]: Simplify K into K 7.790 * [backup-simplify]: Simplify (+ 1 0) into 1 7.790 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.790 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 7.790 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 7.790 * [taylor]: Taking taylor expansion of (/ 1 m) in K 7.790 * [taylor]: Taking taylor expansion of m in K 7.790 * [backup-simplify]: Simplify m into m 7.790 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.791 * [taylor]: Taking taylor expansion of (/ 1 n) in K 7.791 * [taylor]: Taking taylor expansion of n in K 7.791 * [backup-simplify]: Simplify n into n 7.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.791 * [taylor]: Taking taylor expansion of K in K 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 7.791 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 7.791 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 7.791 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 7.791 * [taylor]: Taking taylor expansion of (/ 1 m) in K 7.791 * [taylor]: Taking taylor expansion of m in K 7.791 * [backup-simplify]: Simplify m into m 7.791 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.791 * [taylor]: Taking taylor expansion of (/ 1 n) in K 7.791 * [taylor]: Taking taylor expansion of n in K 7.791 * [backup-simplify]: Simplify n into n 7.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.791 * [taylor]: Taking taylor expansion of K in K 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 7.792 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 7.792 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 7.792 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.792 * [taylor]: Taking taylor expansion of m in m 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ 1 1) into 1 7.792 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.792 * [taylor]: Taking taylor expansion of n in m 7.792 * [backup-simplify]: Simplify n into n 7.792 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.793 * [backup-simplify]: Simplify (+ 1 0) into 1 7.793 * [taylor]: Taking taylor expansion of 1 in n 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 7.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.793 * [backup-simplify]: Simplify (+ 0 0) into 0 7.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 7.794 * [taylor]: Taking taylor expansion of 0 in m 7.794 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.795 * [taylor]: Taking taylor expansion of n in n 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.796 * [backup-simplify]: Simplify (+ 0 0) into 0 7.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.798 * [taylor]: Taking taylor expansion of 0 in m 7.798 * [backup-simplify]: Simplify 0 into 0 7.798 * [taylor]: Taking taylor expansion of 0 in n 7.798 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.799 * [backup-simplify]: Simplify (+ 0 0) into 0 7.799 * [taylor]: Taking taylor expansion of 0 in n 7.799 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.801 * [backup-simplify]: Simplify (+ 0 0) into 0 7.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.803 * [taylor]: Taking taylor expansion of 0 in m 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [taylor]: Taking taylor expansion of 0 in n 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [taylor]: Taking taylor expansion of 0 in n 7.803 * [backup-simplify]: Simplify 0 into 0 7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.804 * [backup-simplify]: Simplify (+ 0 0) into 0 7.804 * [taylor]: Taking taylor expansion of 0 in n 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* K n)) 7.806 * [backup-simplify]: Simplify (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) into (/ (+ (/ 1 m) (/ 1 n)) K) 7.806 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (K m n) around 0 7.806 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 7.806 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 7.806 * [taylor]: Taking taylor expansion of (/ 1 m) in n 7.806 * [taylor]: Taking taylor expansion of m in n 7.806 * [backup-simplify]: Simplify m into m 7.806 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.806 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.806 * [taylor]: Taking taylor expansion of n in n 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [taylor]: Taking taylor expansion of K in n 7.807 * [backup-simplify]: Simplify K into K 7.807 * [backup-simplify]: Simplify (+ 0 1) into 1 7.807 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.807 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 7.807 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 7.807 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.807 * [taylor]: Taking taylor expansion of m in m 7.807 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify 1 into 1 7.808 * [backup-simplify]: Simplify (/ 1 1) into 1 7.808 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.808 * [taylor]: Taking taylor expansion of n in m 7.808 * [backup-simplify]: Simplify n into n 7.808 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.808 * [taylor]: Taking taylor expansion of K in m 7.808 * [backup-simplify]: Simplify K into K 7.808 * [backup-simplify]: Simplify (+ 1 0) into 1 7.809 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 7.809 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 7.809 * [taylor]: Taking taylor expansion of (/ 1 m) in K 7.809 * [taylor]: Taking taylor expansion of m in K 7.809 * [backup-simplify]: Simplify m into m 7.809 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.809 * [taylor]: Taking taylor expansion of (/ 1 n) in K 7.809 * [taylor]: Taking taylor expansion of n in K 7.809 * [backup-simplify]: Simplify n into n 7.809 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.809 * [taylor]: Taking taylor expansion of K in K 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 7.809 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 7.809 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 7.809 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 7.809 * [taylor]: Taking taylor expansion of (/ 1 m) in K 7.809 * [taylor]: Taking taylor expansion of m in K 7.809 * [backup-simplify]: Simplify m into m 7.809 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.809 * [taylor]: Taking taylor expansion of (/ 1 n) in K 7.809 * [taylor]: Taking taylor expansion of n in K 7.809 * [backup-simplify]: Simplify n into n 7.809 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.809 * [taylor]: Taking taylor expansion of K in K 7.809 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 7.810 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 7.810 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.810 * [taylor]: Taking taylor expansion of m in m 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (/ 1 1) into 1 7.810 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.810 * [taylor]: Taking taylor expansion of n in m 7.810 * [backup-simplify]: Simplify n into n 7.810 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.811 * [backup-simplify]: Simplify (+ 1 0) into 1 7.811 * [taylor]: Taking taylor expansion of 1 in n 7.811 * [backup-simplify]: Simplify 1 into 1 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.812 * [backup-simplify]: Simplify (+ 0 0) into 0 7.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 7.812 * [taylor]: Taking taylor expansion of 0 in m 7.812 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.813 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 7.813 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.813 * [taylor]: Taking taylor expansion of n in n 7.813 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (/ 1 1) into 1 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.815 * [backup-simplify]: Simplify (+ 0 0) into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [taylor]: Taking taylor expansion of 0 in m 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [taylor]: Taking taylor expansion of 0 in n 7.816 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.817 * [backup-simplify]: Simplify (+ 0 0) into 0 7.817 * [taylor]: Taking taylor expansion of 0 in n 7.817 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify 0 into 0 7.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [taylor]: Taking taylor expansion of 0 in m 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [taylor]: Taking taylor expansion of 0 in n 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [taylor]: Taking taylor expansion of 0 in n 7.821 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.823 * [backup-simplify]: Simplify (+ 0 0) into 0 7.823 * [taylor]: Taking taylor expansion of 0 in n 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* K n)) 7.824 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.824 * [backup-simplify]: Simplify (- (/ (* K (+ m n)) 2) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 7.824 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (K m n M) around 0 7.824 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 7.824 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 7.824 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 7.824 * [taylor]: Taking taylor expansion of 1/2 in M 7.824 * [backup-simplify]: Simplify 1/2 into 1/2 7.824 * [taylor]: Taking taylor expansion of (* K n) in M 7.824 * [taylor]: Taking taylor expansion of K in M 7.824 * [backup-simplify]: Simplify K into K 7.824 * [taylor]: Taking taylor expansion of n in M 7.824 * [backup-simplify]: Simplify n into n 7.824 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 7.824 * [taylor]: Taking taylor expansion of 1/2 in M 7.824 * [backup-simplify]: Simplify 1/2 into 1/2 7.824 * [taylor]: Taking taylor expansion of (* K m) in M 7.824 * [taylor]: Taking taylor expansion of K in M 7.824 * [backup-simplify]: Simplify K into K 7.824 * [taylor]: Taking taylor expansion of m in M 7.824 * [backup-simplify]: Simplify m into m 7.824 * [taylor]: Taking taylor expansion of M in M 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 7.824 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 7.824 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 7.824 * [taylor]: Taking taylor expansion of 1/2 in n 7.824 * [backup-simplify]: Simplify 1/2 into 1/2 7.824 * [taylor]: Taking taylor expansion of (* K n) in n 7.824 * [taylor]: Taking taylor expansion of K in n 7.824 * [backup-simplify]: Simplify K into K 7.824 * [taylor]: Taking taylor expansion of n in n 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 7.824 * [taylor]: Taking taylor expansion of 1/2 in n 7.824 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K m) in n 7.825 * [taylor]: Taking taylor expansion of K in n 7.825 * [backup-simplify]: Simplify K into K 7.825 * [taylor]: Taking taylor expansion of m in n 7.825 * [backup-simplify]: Simplify m into m 7.825 * [taylor]: Taking taylor expansion of M in n 7.825 * [backup-simplify]: Simplify M into M 7.825 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 7.825 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 7.825 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 7.825 * [taylor]: Taking taylor expansion of 1/2 in m 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K n) in m 7.825 * [taylor]: Taking taylor expansion of K in m 7.825 * [backup-simplify]: Simplify K into K 7.825 * [taylor]: Taking taylor expansion of n in m 7.825 * [backup-simplify]: Simplify n into n 7.825 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 7.825 * [taylor]: Taking taylor expansion of 1/2 in m 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K m) in m 7.825 * [taylor]: Taking taylor expansion of K in m 7.825 * [backup-simplify]: Simplify K into K 7.825 * [taylor]: Taking taylor expansion of m in m 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of M in m 7.825 * [backup-simplify]: Simplify M into M 7.825 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 7.825 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 7.825 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 7.825 * [taylor]: Taking taylor expansion of 1/2 in K 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K n) in K 7.825 * [taylor]: Taking taylor expansion of K in K 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of n in K 7.825 * [backup-simplify]: Simplify n into n 7.825 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 7.825 * [taylor]: Taking taylor expansion of 1/2 in K 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K m) in K 7.825 * [taylor]: Taking taylor expansion of K in K 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of m in K 7.825 * [backup-simplify]: Simplify m into m 7.825 * [taylor]: Taking taylor expansion of M in K 7.825 * [backup-simplify]: Simplify M into M 7.825 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 7.825 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 7.825 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 7.825 * [taylor]: Taking taylor expansion of 1/2 in K 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K n) in K 7.825 * [taylor]: Taking taylor expansion of K in K 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of n in K 7.825 * [backup-simplify]: Simplify n into n 7.825 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 7.825 * [taylor]: Taking taylor expansion of 1/2 in K 7.825 * [backup-simplify]: Simplify 1/2 into 1/2 7.825 * [taylor]: Taking taylor expansion of (* K m) in K 7.825 * [taylor]: Taking taylor expansion of K in K 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of m in K 7.825 * [backup-simplify]: Simplify m into m 7.825 * [taylor]: Taking taylor expansion of M in K 7.825 * [backup-simplify]: Simplify M into M 7.826 * [backup-simplify]: Simplify (* 0 n) into 0 7.826 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.826 * [backup-simplify]: Simplify (* 0 m) into 0 7.826 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.826 * [backup-simplify]: Simplify (+ 0 0) into 0 7.827 * [backup-simplify]: Simplify (- M) into (- M) 7.827 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 7.827 * [taylor]: Taking taylor expansion of (- M) in m 7.827 * [taylor]: Taking taylor expansion of M in m 7.827 * [backup-simplify]: Simplify M into M 7.827 * [backup-simplify]: Simplify (- M) into (- M) 7.827 * [taylor]: Taking taylor expansion of (- M) in n 7.827 * [taylor]: Taking taylor expansion of M in n 7.827 * [backup-simplify]: Simplify M into M 7.827 * [backup-simplify]: Simplify (- M) into (- M) 7.827 * [taylor]: Taking taylor expansion of (- M) in M 7.827 * [taylor]: Taking taylor expansion of M in M 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (- 0) into 0 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.828 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 7.828 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 7.828 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 7.828 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 7.828 * [backup-simplify]: Simplify (- 0) into 0 7.829 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 7.829 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 7.829 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 7.829 * [taylor]: Taking taylor expansion of 1/2 in m 7.829 * [backup-simplify]: Simplify 1/2 into 1/2 7.829 * [taylor]: Taking taylor expansion of m in m 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 7.829 * [taylor]: Taking taylor expansion of 1/2 in m 7.829 * [backup-simplify]: Simplify 1/2 into 1/2 7.829 * [taylor]: Taking taylor expansion of n in m 7.829 * [backup-simplify]: Simplify n into n 7.829 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.829 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 7.829 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 7.829 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 7.829 * [taylor]: Taking taylor expansion of 1/2 in n 7.829 * [backup-simplify]: Simplify 1/2 into 1/2 7.829 * [taylor]: Taking taylor expansion of n in n 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.830 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.830 * [taylor]: Taking taylor expansion of 0 in M 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (- 0) into 0 7.830 * [taylor]: Taking taylor expansion of 0 in n 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [taylor]: Taking taylor expansion of 0 in M 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (- 0) into 0 7.831 * [taylor]: Taking taylor expansion of 0 in M 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify (- 1) into -1 7.831 * [backup-simplify]: Simplify -1 into -1 7.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 7.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 7.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 7.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 7.833 * [backup-simplify]: Simplify (+ 0 0) into 0 7.833 * [backup-simplify]: Simplify (- 0) into 0 7.833 * [backup-simplify]: Simplify (+ 0 0) into 0 7.834 * [taylor]: Taking taylor expansion of 0 in m 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [taylor]: Taking taylor expansion of 0 in n 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [taylor]: Taking taylor expansion of 0 in M 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 7.835 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.835 * [taylor]: Taking taylor expansion of 1/2 in n 7.835 * [backup-simplify]: Simplify 1/2 into 1/2 7.835 * [taylor]: Taking taylor expansion of 1/2 in M 7.835 * [backup-simplify]: Simplify 1/2 into 1/2 7.835 * [backup-simplify]: Simplify 1/2 into 1/2 7.835 * [backup-simplify]: Simplify (- 0) into 0 7.835 * [taylor]: Taking taylor expansion of 0 in n 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [taylor]: Taking taylor expansion of 0 in M 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.835 * [taylor]: Taking taylor expansion of 1/2 in M 7.836 * [backup-simplify]: Simplify 1/2 into 1/2 7.836 * [backup-simplify]: Simplify 1/2 into 1/2 7.836 * [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) 7.836 * [backup-simplify]: Simplify (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) into (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) 7.836 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (K m n M) around 0 7.836 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 7.836 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 7.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 7.836 * [taylor]: Taking taylor expansion of 1/2 in M 7.836 * [backup-simplify]: Simplify 1/2 into 1/2 7.836 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 7.836 * [taylor]: Taking taylor expansion of (* m K) in M 7.836 * [taylor]: Taking taylor expansion of m in M 7.836 * [backup-simplify]: Simplify m into m 7.836 * [taylor]: Taking taylor expansion of K in M 7.836 * [backup-simplify]: Simplify K into K 7.836 * [backup-simplify]: Simplify (* m K) into (* m K) 7.836 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 7.837 * [taylor]: Taking taylor expansion of 1/2 in M 7.837 * [backup-simplify]: Simplify 1/2 into 1/2 7.837 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 7.837 * [taylor]: Taking taylor expansion of (* K n) in M 7.837 * [taylor]: Taking taylor expansion of K in M 7.837 * [backup-simplify]: Simplify K into K 7.837 * [taylor]: Taking taylor expansion of n in M 7.837 * [backup-simplify]: Simplify n into n 7.837 * [backup-simplify]: Simplify (* K n) into (* K n) 7.837 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.837 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.837 * [taylor]: Taking taylor expansion of M in M 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (/ 1 1) into 1 7.837 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 7.837 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 7.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 7.837 * [taylor]: Taking taylor expansion of 1/2 in n 7.837 * [backup-simplify]: Simplify 1/2 into 1/2 7.837 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 7.837 * [taylor]: Taking taylor expansion of (* m K) in n 7.837 * [taylor]: Taking taylor expansion of m in n 7.837 * [backup-simplify]: Simplify m into m 7.837 * [taylor]: Taking taylor expansion of K in n 7.837 * [backup-simplify]: Simplify K into K 7.837 * [backup-simplify]: Simplify (* m K) into (* m K) 7.837 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 7.837 * [taylor]: Taking taylor expansion of 1/2 in n 7.837 * [backup-simplify]: Simplify 1/2 into 1/2 7.837 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 7.837 * [taylor]: Taking taylor expansion of (* K n) in n 7.837 * [taylor]: Taking taylor expansion of K in n 7.837 * [backup-simplify]: Simplify K into K 7.837 * [taylor]: Taking taylor expansion of n in n 7.837 * [backup-simplify]: Simplify 0 into 0 7.837 * [backup-simplify]: Simplify 1 into 1 7.837 * [backup-simplify]: Simplify (* K 0) into 0 7.838 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 7.838 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.838 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.838 * [taylor]: Taking taylor expansion of M in n 7.838 * [backup-simplify]: Simplify M into M 7.838 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.838 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 7.838 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 7.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 7.838 * [taylor]: Taking taylor expansion of 1/2 in m 7.838 * [backup-simplify]: Simplify 1/2 into 1/2 7.838 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 7.838 * [taylor]: Taking taylor expansion of (* m K) in m 7.838 * [taylor]: Taking taylor expansion of m in m 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [taylor]: Taking taylor expansion of K in m 7.838 * [backup-simplify]: Simplify K into K 7.838 * [backup-simplify]: Simplify (* 0 K) into 0 7.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 7.838 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 7.838 * [taylor]: Taking taylor expansion of 1/2 in m 7.838 * [backup-simplify]: Simplify 1/2 into 1/2 7.838 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 7.838 * [taylor]: Taking taylor expansion of (* K n) in m 7.838 * [taylor]: Taking taylor expansion of K in m 7.838 * [backup-simplify]: Simplify K into K 7.839 * [taylor]: Taking taylor expansion of n in m 7.839 * [backup-simplify]: Simplify n into n 7.839 * [backup-simplify]: Simplify (* K n) into (* K n) 7.839 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.839 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.839 * [taylor]: Taking taylor expansion of M in m 7.839 * [backup-simplify]: Simplify M into M 7.839 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.839 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 7.839 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.839 * [taylor]: Taking taylor expansion of 1/2 in K 7.839 * [backup-simplify]: Simplify 1/2 into 1/2 7.839 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.839 * [taylor]: Taking taylor expansion of (* m K) in K 7.839 * [taylor]: Taking taylor expansion of m in K 7.839 * [backup-simplify]: Simplify m into m 7.839 * [taylor]: Taking taylor expansion of K in K 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (* m 0) into 0 7.839 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.839 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.839 * [taylor]: Taking taylor expansion of 1/2 in K 7.839 * [backup-simplify]: Simplify 1/2 into 1/2 7.839 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.839 * [taylor]: Taking taylor expansion of (* K n) in K 7.839 * [taylor]: Taking taylor expansion of K in K 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [taylor]: Taking taylor expansion of n in K 7.839 * [backup-simplify]: Simplify n into n 7.839 * [backup-simplify]: Simplify (* 0 n) into 0 7.840 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.840 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.840 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.840 * [taylor]: Taking taylor expansion of M in K 7.840 * [backup-simplify]: Simplify M into M 7.840 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.840 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 7.840 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.840 * [taylor]: Taking taylor expansion of 1/2 in K 7.840 * [backup-simplify]: Simplify 1/2 into 1/2 7.840 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.840 * [taylor]: Taking taylor expansion of (* m K) in K 7.840 * [taylor]: Taking taylor expansion of m in K 7.840 * [backup-simplify]: Simplify m into m 7.840 * [taylor]: Taking taylor expansion of K in K 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (* m 0) into 0 7.840 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.840 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.840 * [taylor]: Taking taylor expansion of 1/2 in K 7.840 * [backup-simplify]: Simplify 1/2 into 1/2 7.840 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.840 * [taylor]: Taking taylor expansion of (* K n) in K 7.840 * [taylor]: Taking taylor expansion of K in K 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [taylor]: Taking taylor expansion of n in K 7.840 * [backup-simplify]: Simplify n into n 7.840 * [backup-simplify]: Simplify (* 0 n) into 0 7.841 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.841 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.841 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.841 * [taylor]: Taking taylor expansion of M in K 7.841 * [backup-simplify]: Simplify M into M 7.841 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 7.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.841 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.841 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.841 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 7.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 7.841 * [taylor]: Taking taylor expansion of 1/2 in m 7.841 * [backup-simplify]: Simplify 1/2 into 1/2 7.841 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.841 * [taylor]: Taking taylor expansion of m in m 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 7.842 * [taylor]: Taking taylor expansion of 1/2 in m 7.842 * [backup-simplify]: Simplify 1/2 into 1/2 7.842 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.842 * [taylor]: Taking taylor expansion of n in m 7.842 * [backup-simplify]: Simplify n into n 7.842 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.842 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.842 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.842 * [taylor]: Taking taylor expansion of 1/2 in n 7.842 * [backup-simplify]: Simplify 1/2 into 1/2 7.843 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 7.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 7.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 7.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 7.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.844 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 7.844 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in m 7.844 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.844 * [taylor]: Taking taylor expansion of M in m 7.844 * [backup-simplify]: Simplify M into M 7.844 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.845 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.845 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 7.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.845 * [taylor]: Taking taylor expansion of 1/2 in n 7.845 * [backup-simplify]: Simplify 1/2 into 1/2 7.845 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.845 * [taylor]: Taking taylor expansion of n in n 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.846 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.846 * [taylor]: Taking taylor expansion of 1/2 in M 7.846 * [backup-simplify]: Simplify 1/2 into 1/2 7.846 * [taylor]: Taking taylor expansion of 1/2 in M 7.846 * [backup-simplify]: Simplify 1/2 into 1/2 7.847 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 7.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 7.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 7.849 * [backup-simplify]: Simplify (+ 0 0) into 0 7.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.849 * [backup-simplify]: Simplify (- 0) into 0 7.849 * [backup-simplify]: Simplify (+ 0 0) into 0 7.849 * [taylor]: Taking taylor expansion of 0 in m 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.849 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in n 7.849 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.849 * [taylor]: Taking taylor expansion of M in n 7.849 * [backup-simplify]: Simplify M into M 7.849 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 7.851 * [backup-simplify]: Simplify (+ 0 0) into 0 7.851 * [taylor]: Taking taylor expansion of 0 in n 7.851 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.853 * [taylor]: Taking taylor expansion of 0 in M 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [taylor]: Taking taylor expansion of 0 in M 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 1/2 into 1/2 7.853 * [backup-simplify]: Simplify 1/2 into 1/2 7.854 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 7.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 7.859 * [backup-simplify]: Simplify (+ 0 0) into 0 7.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 7.859 * [backup-simplify]: Simplify (- 0) into 0 7.859 * [backup-simplify]: Simplify (+ 0 0) into 0 7.859 * [taylor]: Taking taylor expansion of 0 in m 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [taylor]: Taking taylor expansion of 0 in n 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.860 * [backup-simplify]: Simplify (- 0) into 0 7.860 * [taylor]: Taking taylor expansion of 0 in n 7.860 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 7.863 * [backup-simplify]: Simplify (+ 0 0) into 0 7.864 * [taylor]: Taking taylor expansion of 0 in n 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.864 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 7.864 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.864 * [taylor]: Taking taylor expansion of M in M 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [backup-simplify]: Simplify (- 1) into -1 7.865 * [backup-simplify]: Simplify -1 into -1 7.866 * [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) 7.866 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) into (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) 7.866 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (K m n M) around 0 7.866 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 7.866 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.866 * [taylor]: Taking taylor expansion of M in M 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify (/ 1 1) into 1 7.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 7.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 7.867 * [taylor]: Taking taylor expansion of 1/2 in M 7.867 * [backup-simplify]: Simplify 1/2 into 1/2 7.867 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 7.867 * [taylor]: Taking taylor expansion of (* m K) in M 7.867 * [taylor]: Taking taylor expansion of m in M 7.867 * [backup-simplify]: Simplify m into m 7.867 * [taylor]: Taking taylor expansion of K in M 7.867 * [backup-simplify]: Simplify K into K 7.867 * [backup-simplify]: Simplify (* m K) into (* m K) 7.867 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 7.867 * [taylor]: Taking taylor expansion of 1/2 in M 7.867 * [backup-simplify]: Simplify 1/2 into 1/2 7.867 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 7.867 * [taylor]: Taking taylor expansion of (* K n) in M 7.867 * [taylor]: Taking taylor expansion of K in M 7.867 * [backup-simplify]: Simplify K into K 7.867 * [taylor]: Taking taylor expansion of n in M 7.867 * [backup-simplify]: Simplify n into n 7.867 * [backup-simplify]: Simplify (* K n) into (* K n) 7.868 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.868 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 7.868 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.868 * [taylor]: Taking taylor expansion of M in n 7.868 * [backup-simplify]: Simplify M into M 7.868 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.868 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 7.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 7.868 * [taylor]: Taking taylor expansion of 1/2 in n 7.868 * [backup-simplify]: Simplify 1/2 into 1/2 7.868 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 7.868 * [taylor]: Taking taylor expansion of (* m K) in n 7.868 * [taylor]: Taking taylor expansion of m in n 7.868 * [backup-simplify]: Simplify m into m 7.868 * [taylor]: Taking taylor expansion of K in n 7.868 * [backup-simplify]: Simplify K into K 7.868 * [backup-simplify]: Simplify (* m K) into (* m K) 7.868 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 7.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 7.868 * [taylor]: Taking taylor expansion of 1/2 in n 7.868 * [backup-simplify]: Simplify 1/2 into 1/2 7.868 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 7.868 * [taylor]: Taking taylor expansion of (* K n) in n 7.868 * [taylor]: Taking taylor expansion of K in n 7.868 * [backup-simplify]: Simplify K into K 7.869 * [taylor]: Taking taylor expansion of n in n 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 1 into 1 7.869 * [backup-simplify]: Simplify (* K 0) into 0 7.869 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 7.869 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.869 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 7.869 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.869 * [taylor]: Taking taylor expansion of M in m 7.869 * [backup-simplify]: Simplify M into M 7.869 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.870 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 7.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 7.870 * [taylor]: Taking taylor expansion of 1/2 in m 7.870 * [backup-simplify]: Simplify 1/2 into 1/2 7.870 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 7.870 * [taylor]: Taking taylor expansion of (* m K) in m 7.870 * [taylor]: Taking taylor expansion of m in m 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.870 * [taylor]: Taking taylor expansion of K in m 7.870 * [backup-simplify]: Simplify K into K 7.870 * [backup-simplify]: Simplify (* 0 K) into 0 7.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 7.871 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 7.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 7.871 * [taylor]: Taking taylor expansion of 1/2 in m 7.871 * [backup-simplify]: Simplify 1/2 into 1/2 7.871 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 7.871 * [taylor]: Taking taylor expansion of (* K n) in m 7.871 * [taylor]: Taking taylor expansion of K in m 7.871 * [backup-simplify]: Simplify K into K 7.871 * [taylor]: Taking taylor expansion of n in m 7.871 * [backup-simplify]: Simplify n into n 7.871 * [backup-simplify]: Simplify (* K n) into (* K n) 7.871 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 7.871 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 7.871 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.871 * [taylor]: Taking taylor expansion of M in K 7.871 * [backup-simplify]: Simplify M into M 7.871 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.871 * [taylor]: Taking taylor expansion of 1/2 in K 7.871 * [backup-simplify]: Simplify 1/2 into 1/2 7.871 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.871 * [taylor]: Taking taylor expansion of (* m K) in K 7.871 * [taylor]: Taking taylor expansion of m in K 7.871 * [backup-simplify]: Simplify m into m 7.871 * [taylor]: Taking taylor expansion of K in K 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [backup-simplify]: Simplify (* m 0) into 0 7.872 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.872 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.872 * [taylor]: Taking taylor expansion of 1/2 in K 7.872 * [backup-simplify]: Simplify 1/2 into 1/2 7.872 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.872 * [taylor]: Taking taylor expansion of (* K n) in K 7.872 * [taylor]: Taking taylor expansion of K in K 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of n in K 7.873 * [backup-simplify]: Simplify n into n 7.873 * [backup-simplify]: Simplify (* 0 n) into 0 7.873 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.873 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.873 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 7.873 * [taylor]: Taking taylor expansion of (/ 1 M) in K 7.873 * [taylor]: Taking taylor expansion of M in K 7.873 * [backup-simplify]: Simplify M into M 7.873 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.873 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 7.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 7.873 * [taylor]: Taking taylor expansion of 1/2 in K 7.873 * [backup-simplify]: Simplify 1/2 into 1/2 7.873 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 7.873 * [taylor]: Taking taylor expansion of (* m K) in K 7.873 * [taylor]: Taking taylor expansion of m in K 7.874 * [backup-simplify]: Simplify m into m 7.874 * [taylor]: Taking taylor expansion of K in K 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (* m 0) into 0 7.874 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 7.874 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 7.874 * [taylor]: Taking taylor expansion of 1/2 in K 7.874 * [backup-simplify]: Simplify 1/2 into 1/2 7.874 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 7.874 * [taylor]: Taking taylor expansion of (* K n) in K 7.874 * [taylor]: Taking taylor expansion of K in K 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [taylor]: Taking taylor expansion of n in K 7.875 * [backup-simplify]: Simplify n into n 7.875 * [backup-simplify]: Simplify (* 0 n) into 0 7.875 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 7.875 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.875 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 7.875 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.875 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.876 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 7.876 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 7.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 7.876 * [taylor]: Taking taylor expansion of 1/2 in m 7.876 * [backup-simplify]: Simplify 1/2 into 1/2 7.876 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.876 * [taylor]: Taking taylor expansion of m in m 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 1 into 1 7.876 * [backup-simplify]: Simplify (/ 1 1) into 1 7.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 7.876 * [taylor]: Taking taylor expansion of 1/2 in m 7.876 * [backup-simplify]: Simplify 1/2 into 1/2 7.876 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.876 * [taylor]: Taking taylor expansion of n in m 7.877 * [backup-simplify]: Simplify n into n 7.877 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.877 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.877 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.878 * [taylor]: Taking taylor expansion of 1/2 in n 7.878 * [backup-simplify]: Simplify 1/2 into 1/2 7.878 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 1) (* 0 0))) into 0 7.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 7.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 m))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 7.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 7.881 * [backup-simplify]: Simplify (+ 0 0) into 0 7.881 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 7.881 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.881 * [taylor]: Taking taylor expansion of M in m 7.881 * [backup-simplify]: Simplify M into M 7.881 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.883 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.883 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 7.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.883 * [taylor]: Taking taylor expansion of 1/2 in n 7.883 * [backup-simplify]: Simplify 1/2 into 1/2 7.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.883 * [taylor]: Taking taylor expansion of n in n 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.884 * [backup-simplify]: Simplify (/ 1 1) into 1 7.884 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.884 * [taylor]: Taking taylor expansion of 1/2 in M 7.884 * [backup-simplify]: Simplify 1/2 into 1/2 7.884 * [taylor]: Taking taylor expansion of 1/2 in M 7.884 * [backup-simplify]: Simplify 1/2 into 1/2 7.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 m)))) into 0 7.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 7.889 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [taylor]: Taking taylor expansion of 0 in m 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.889 * [taylor]: Taking taylor expansion of M in n 7.889 * [backup-simplify]: Simplify M into M 7.889 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 7.893 * [backup-simplify]: Simplify (+ 0 0) into 0 7.893 * [taylor]: Taking taylor expansion of 0 in n 7.893 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.895 * [taylor]: Taking taylor expansion of 0 in M 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [taylor]: Taking taylor expansion of 0 in M 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1/2 into 1/2 7.895 * [backup-simplify]: Simplify 1/2 into 1/2 7.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 7.896 * [backup-simplify]: Simplify (+ (* m 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 7.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 m))))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 7.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 7.901 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [taylor]: Taking taylor expansion of 0 in m 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [taylor]: Taking taylor expansion of 0 in n 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.902 * [taylor]: Taking taylor expansion of 0 in n 7.902 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 7.906 * [backup-simplify]: Simplify (+ 0 0) into 0 7.906 * [taylor]: Taking taylor expansion of 0 in n 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.906 * [taylor]: Taking taylor expansion of M in M 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (/ 1 1) into 1 7.906 * [backup-simplify]: Simplify 1 into 1 7.907 * [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) 7.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 7.908 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 7.908 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 7.908 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 7.908 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 7.908 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 7.908 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 7.908 * [taylor]: Taking taylor expansion of 1/2 in M 7.908 * [backup-simplify]: Simplify 1/2 into 1/2 7.908 * [taylor]: Taking taylor expansion of m in M 7.908 * [backup-simplify]: Simplify m into m 7.908 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 7.908 * [taylor]: Taking taylor expansion of 1/2 in M 7.908 * [backup-simplify]: Simplify 1/2 into 1/2 7.908 * [taylor]: Taking taylor expansion of n in M 7.908 * [backup-simplify]: Simplify n into n 7.908 * [taylor]: Taking taylor expansion of M in M 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 7.908 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 7.909 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 7.909 * [backup-simplify]: Simplify (- 0) into 0 7.909 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 7.909 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 7.909 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 7.909 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 7.909 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 7.909 * [taylor]: Taking taylor expansion of 1/2 in n 7.909 * [backup-simplify]: Simplify 1/2 into 1/2 7.909 * [taylor]: Taking taylor expansion of m in n 7.909 * [backup-simplify]: Simplify m into m 7.910 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 7.910 * [taylor]: Taking taylor expansion of 1/2 in n 7.910 * [backup-simplify]: Simplify 1/2 into 1/2 7.910 * [taylor]: Taking taylor expansion of n in n 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [taylor]: Taking taylor expansion of M in n 7.910 * [backup-simplify]: Simplify M into M 7.910 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 7.910 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.910 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 7.910 * [backup-simplify]: Simplify (- M) into (- M) 7.910 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 7.910 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 7.911 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 7.911 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 7.911 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 7.911 * [taylor]: Taking taylor expansion of 1/2 in m 7.911 * [backup-simplify]: Simplify 1/2 into 1/2 7.911 * [taylor]: Taking taylor expansion of m in m 7.911 * [backup-simplify]: Simplify 0 into 0 7.911 * [backup-simplify]: Simplify 1 into 1 7.911 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 7.911 * [taylor]: Taking taylor expansion of 1/2 in m 7.911 * [backup-simplify]: Simplify 1/2 into 1/2 7.911 * [taylor]: Taking taylor expansion of n in m 7.911 * [backup-simplify]: Simplify n into n 7.911 * [taylor]: Taking taylor expansion of M in m 7.911 * [backup-simplify]: Simplify M into M 7.911 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.911 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 7.912 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 7.912 * [backup-simplify]: Simplify (- M) into (- M) 7.912 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 7.912 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 7.912 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 7.912 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 7.912 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 7.912 * [taylor]: Taking taylor expansion of 1/2 in m 7.912 * [backup-simplify]: Simplify 1/2 into 1/2 7.912 * [taylor]: Taking taylor expansion of m in m 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.912 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 7.912 * [taylor]: Taking taylor expansion of 1/2 in m 7.912 * [backup-simplify]: Simplify 1/2 into 1/2 7.912 * [taylor]: Taking taylor expansion of n in m 7.912 * [backup-simplify]: Simplify n into n 7.912 * [taylor]: Taking taylor expansion of M in m 7.912 * [backup-simplify]: Simplify M into M 7.913 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.913 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 7.913 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 7.913 * [backup-simplify]: Simplify (- M) into (- M) 7.913 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 7.913 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 7.913 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 7.913 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 7.913 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 7.913 * [taylor]: Taking taylor expansion of 1/2 in n 7.913 * [backup-simplify]: Simplify 1/2 into 1/2 7.913 * [taylor]: Taking taylor expansion of n in n 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [taylor]: Taking taylor expansion of M in n 7.913 * [backup-simplify]: Simplify M into M 7.913 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.913 * [backup-simplify]: Simplify (- M) into (- M) 7.913 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 7.914 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 7.914 * [taylor]: Taking taylor expansion of (pow M 2) in M 7.914 * [taylor]: Taking taylor expansion of M in M 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 7.915 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.916 * [backup-simplify]: Simplify (- 0) into 0 7.917 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.917 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 7.917 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 7.917 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 7.917 * [taylor]: Taking taylor expansion of 1/2 in n 7.917 * [backup-simplify]: Simplify 1/2 into 1/2 7.917 * [taylor]: Taking taylor expansion of n in n 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [taylor]: Taking taylor expansion of M in n 7.917 * [backup-simplify]: Simplify M into M 7.917 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.917 * [backup-simplify]: Simplify (- M) into (- M) 7.918 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 7.918 * [taylor]: Taking taylor expansion of (- M) in M 7.918 * [taylor]: Taking taylor expansion of M in M 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (- 0) into 0 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.919 * [backup-simplify]: Simplify (- 0) into 0 7.919 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.919 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 7.919 * [taylor]: Taking taylor expansion of (- M) in M 7.919 * [taylor]: Taking taylor expansion of M in M 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 1 into 1 7.919 * [backup-simplify]: Simplify (- 0) into 0 7.919 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 7.921 * [backup-simplify]: Simplify (+ 0 0) into 0 7.921 * [backup-simplify]: Simplify (- 0) into 0 7.921 * [backup-simplify]: Simplify (+ 0 0) into 0 7.921 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 7.921 * [taylor]: Taking taylor expansion of 1/4 in n 7.921 * [backup-simplify]: Simplify 1/4 into 1/4 7.921 * [taylor]: Taking taylor expansion of 1/4 in M 7.921 * [backup-simplify]: Simplify 1/4 into 1/4 7.921 * [backup-simplify]: Simplify 1/4 into 1/4 7.922 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.922 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.922 * [taylor]: Taking taylor expansion of 1/2 in M 7.922 * [backup-simplify]: Simplify 1/2 into 1/2 7.922 * [backup-simplify]: Simplify 1/2 into 1/2 7.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.923 * [backup-simplify]: Simplify (- 0) into 0 7.923 * [backup-simplify]: Simplify (+ 0 0) into 0 7.924 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 7.924 * [taylor]: Taking taylor expansion of 1/4 in M 7.924 * [backup-simplify]: Simplify 1/4 into 1/4 7.924 * [backup-simplify]: Simplify 1/4 into 1/4 7.924 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 7.924 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 7.924 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 7.924 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 7.924 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 7.924 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 7.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 7.925 * [taylor]: Taking taylor expansion of 1/2 in M 7.925 * [backup-simplify]: Simplify 1/2 into 1/2 7.925 * [taylor]: Taking taylor expansion of (/ 1 m) in M 7.925 * [taylor]: Taking taylor expansion of m in M 7.925 * [backup-simplify]: Simplify m into m 7.925 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 7.925 * [taylor]: Taking taylor expansion of 1/2 in M 7.925 * [backup-simplify]: Simplify 1/2 into 1/2 7.925 * [taylor]: Taking taylor expansion of (/ 1 n) in M 7.925 * [taylor]: Taking taylor expansion of n in M 7.925 * [backup-simplify]: Simplify n into n 7.925 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.925 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.925 * [taylor]: Taking taylor expansion of M in M 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (/ 1 1) into 1 7.925 * [backup-simplify]: Simplify (- 1) into -1 7.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.926 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 7.926 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 7.926 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 7.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 7.926 * [taylor]: Taking taylor expansion of 1/2 in n 7.926 * [backup-simplify]: Simplify 1/2 into 1/2 7.926 * [taylor]: Taking taylor expansion of (/ 1 m) in n 7.926 * [taylor]: Taking taylor expansion of m in n 7.926 * [backup-simplify]: Simplify m into m 7.926 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.926 * [taylor]: Taking taylor expansion of 1/2 in n 7.926 * [backup-simplify]: Simplify 1/2 into 1/2 7.926 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.926 * [taylor]: Taking taylor expansion of n in n 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.926 * [backup-simplify]: Simplify (/ 1 1) into 1 7.926 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.926 * [taylor]: Taking taylor expansion of M in n 7.926 * [backup-simplify]: Simplify M into M 7.926 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.926 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.927 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.927 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.927 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 7.927 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 7.927 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 7.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 7.927 * [taylor]: Taking taylor expansion of 1/2 in m 7.927 * [backup-simplify]: Simplify 1/2 into 1/2 7.927 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.927 * [taylor]: Taking taylor expansion of m in m 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (/ 1 1) into 1 7.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 7.927 * [taylor]: Taking taylor expansion of 1/2 in m 7.927 * [backup-simplify]: Simplify 1/2 into 1/2 7.927 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.927 * [taylor]: Taking taylor expansion of n in m 7.927 * [backup-simplify]: Simplify n into n 7.928 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.928 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.928 * [taylor]: Taking taylor expansion of M in m 7.928 * [backup-simplify]: Simplify M into M 7.928 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.928 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.928 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.928 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.928 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 7.928 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 7.928 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 7.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 7.928 * [taylor]: Taking taylor expansion of 1/2 in m 7.929 * [backup-simplify]: Simplify 1/2 into 1/2 7.929 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.929 * [taylor]: Taking taylor expansion of m in m 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (/ 1 1) into 1 7.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 7.929 * [taylor]: Taking taylor expansion of 1/2 in m 7.929 * [backup-simplify]: Simplify 1/2 into 1/2 7.929 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.929 * [taylor]: Taking taylor expansion of n in m 7.929 * [backup-simplify]: Simplify n into n 7.929 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.929 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.929 * [taylor]: Taking taylor expansion of M in m 7.929 * [backup-simplify]: Simplify M into M 7.929 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.929 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.930 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.930 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.930 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 7.930 * [taylor]: Taking taylor expansion of 1/4 in n 7.930 * [backup-simplify]: Simplify 1/4 into 1/4 7.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.931 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.931 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 7.931 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.932 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 7.932 * [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)) 7.932 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 7.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.932 * [taylor]: Taking taylor expansion of 1/2 in n 7.932 * [backup-simplify]: Simplify 1/2 into 1/2 7.932 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.932 * [taylor]: Taking taylor expansion of n in n 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.932 * [backup-simplify]: Simplify (/ 1 1) into 1 7.932 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.932 * [taylor]: Taking taylor expansion of M in n 7.932 * [backup-simplify]: Simplify M into M 7.932 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 7.934 * [backup-simplify]: Simplify (+ 0 0) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.934 * [backup-simplify]: Simplify (- 0) into 0 7.935 * [backup-simplify]: Simplify (+ 0 0) into 0 7.936 * [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))) 7.936 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 7.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 7.936 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 7.936 * [taylor]: Taking taylor expansion of (pow M 2) in n 7.936 * [taylor]: Taking taylor expansion of M in n 7.936 * [backup-simplify]: Simplify M into M 7.936 * [backup-simplify]: Simplify (* M M) into (pow M 2) 7.936 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 7.936 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 7.936 * [taylor]: Taking taylor expansion of 1/4 in n 7.936 * [backup-simplify]: Simplify 1/4 into 1/4 7.936 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.936 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.936 * [taylor]: Taking taylor expansion of n in n 7.936 * [backup-simplify]: Simplify 0 into 0 7.936 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (* 1 1) into 1 7.937 * [backup-simplify]: Simplify (/ 1 1) into 1 7.937 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 7.937 * [taylor]: Taking taylor expansion of (* M n) in n 7.937 * [taylor]: Taking taylor expansion of M in n 7.937 * [backup-simplify]: Simplify M into M 7.937 * [taylor]: Taking taylor expansion of n in n 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (* M 0) into 0 7.938 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 7.938 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.938 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 7.938 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 7.939 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 7.939 * [taylor]: Taking taylor expansion of 1/4 in M 7.939 * [backup-simplify]: Simplify 1/4 into 1/4 7.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.940 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.940 * [taylor]: Taking taylor expansion of 1/2 in M 7.940 * [backup-simplify]: Simplify 1/2 into 1/2 7.940 * [taylor]: Taking taylor expansion of 1/4 in M 7.940 * [backup-simplify]: Simplify 1/4 into 1/4 7.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 7.943 * [backup-simplify]: Simplify (+ 0 0) into 0 7.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 7.944 * [backup-simplify]: Simplify (- 0) into 0 7.944 * [backup-simplify]: Simplify (+ 0 0) into 0 7.945 * [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 7.945 * [taylor]: Taking taylor expansion of 0 in n 7.945 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.948 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.948 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 7.948 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 7.948 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.948 * [taylor]: Taking taylor expansion of M in M 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify (/ 1 1) into 1 7.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.950 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.950 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 7.950 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 7.950 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.950 * [taylor]: Taking taylor expansion of M in M 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.951 * [backup-simplify]: Simplify (/ 1 1) into 1 7.951 * [taylor]: Taking taylor expansion of 0 in M 7.951 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 7.954 * [backup-simplify]: Simplify (+ 0 0) into 0 7.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 7.954 * [backup-simplify]: Simplify (- 0) into 0 7.954 * [backup-simplify]: Simplify (+ 0 0) into 0 7.955 * [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 7.955 * [taylor]: Taking taylor expansion of 0 in n 7.955 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 7.957 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 7.957 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 7.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.958 * [backup-simplify]: Simplify (- 0) into 0 7.958 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 7.958 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 7.958 * [taylor]: Taking taylor expansion of (pow M 2) in M 7.958 * [taylor]: Taking taylor expansion of M in M 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 1 into 1 7.958 * [backup-simplify]: Simplify (* 1 1) into 1 7.958 * [backup-simplify]: Simplify (/ 1 1) into 1 7.958 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.960 * [backup-simplify]: Simplify (- 0) into 0 7.960 * [backup-simplify]: Simplify (+ 0 0) into 0 7.960 * [taylor]: Taking taylor expansion of 0 in M 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [taylor]: Taking taylor expansion of 0 in M 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify (- 1) into -1 7.961 * [backup-simplify]: Simplify -1 into -1 7.961 * [backup-simplify]: Simplify (- 1) into -1 7.961 * [backup-simplify]: Simplify -1 into -1 7.961 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 7.962 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 7.962 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 7.962 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 7.962 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 7.962 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.962 * [taylor]: Taking taylor expansion of M in M 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (/ 1 1) into 1 7.962 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 7.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 7.962 * [taylor]: Taking taylor expansion of 1/2 in M 7.962 * [backup-simplify]: Simplify 1/2 into 1/2 7.962 * [taylor]: Taking taylor expansion of (/ 1 m) in M 7.962 * [taylor]: Taking taylor expansion of m in M 7.962 * [backup-simplify]: Simplify m into m 7.962 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 7.962 * [taylor]: Taking taylor expansion of 1/2 in M 7.962 * [backup-simplify]: Simplify 1/2 into 1/2 7.962 * [taylor]: Taking taylor expansion of (/ 1 n) in M 7.962 * [taylor]: Taking taylor expansion of n in M 7.962 * [backup-simplify]: Simplify n into n 7.962 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.963 * [backup-simplify]: Simplify (+ 1 0) into 1 7.963 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 7.963 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 7.963 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.963 * [taylor]: Taking taylor expansion of M in n 7.963 * [backup-simplify]: Simplify M into M 7.963 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 7.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 7.963 * [taylor]: Taking taylor expansion of 1/2 in n 7.963 * [backup-simplify]: Simplify 1/2 into 1/2 7.963 * [taylor]: Taking taylor expansion of (/ 1 m) in n 7.963 * [taylor]: Taking taylor expansion of m in n 7.963 * [backup-simplify]: Simplify m into m 7.963 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 7.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.963 * [taylor]: Taking taylor expansion of 1/2 in n 7.963 * [backup-simplify]: Simplify 1/2 into 1/2 7.963 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.963 * [taylor]: Taking taylor expansion of n in n 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 1 into 1 7.963 * [backup-simplify]: Simplify (/ 1 1) into 1 7.964 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.964 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.964 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.964 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.964 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 7.964 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 7.964 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.964 * [taylor]: Taking taylor expansion of M in m 7.964 * [backup-simplify]: Simplify M into M 7.964 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.964 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 7.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 7.965 * [taylor]: Taking taylor expansion of 1/2 in m 7.965 * [backup-simplify]: Simplify 1/2 into 1/2 7.965 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.965 * [taylor]: Taking taylor expansion of m in m 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify 1 into 1 7.965 * [backup-simplify]: Simplify (/ 1 1) into 1 7.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 7.965 * [taylor]: Taking taylor expansion of 1/2 in m 7.965 * [backup-simplify]: Simplify 1/2 into 1/2 7.965 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.965 * [taylor]: Taking taylor expansion of n in m 7.965 * [backup-simplify]: Simplify n into n 7.965 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.965 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.966 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.966 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.966 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.966 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 7.966 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 7.966 * [taylor]: Taking taylor expansion of (/ 1 M) in m 7.966 * [taylor]: Taking taylor expansion of M in m 7.966 * [backup-simplify]: Simplify M into M 7.966 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.966 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 7.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 7.966 * [taylor]: Taking taylor expansion of 1/2 in m 7.966 * [backup-simplify]: Simplify 1/2 into 1/2 7.966 * [taylor]: Taking taylor expansion of (/ 1 m) in m 7.966 * [taylor]: Taking taylor expansion of m in m 7.966 * [backup-simplify]: Simplify 0 into 0 7.966 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (/ 1 1) into 1 7.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 7.967 * [taylor]: Taking taylor expansion of 1/2 in m 7.967 * [backup-simplify]: Simplify 1/2 into 1/2 7.967 * [taylor]: Taking taylor expansion of (/ 1 n) in m 7.967 * [taylor]: Taking taylor expansion of n in m 7.967 * [backup-simplify]: Simplify n into n 7.967 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.967 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.967 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.967 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.968 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 7.968 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 7.968 * [taylor]: Taking taylor expansion of 1/4 in n 7.968 * [backup-simplify]: Simplify 1/4 into 1/4 7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.969 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 7.969 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 7.969 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 7.969 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 7.969 * [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)) 7.969 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 7.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 7.970 * [taylor]: Taking taylor expansion of 1/2 in n 7.970 * [backup-simplify]: Simplify 1/2 into 1/2 7.970 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.970 * [taylor]: Taking taylor expansion of n in n 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.970 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [taylor]: Taking taylor expansion of (/ 1 M) in n 7.970 * [taylor]: Taking taylor expansion of M in n 7.970 * [backup-simplify]: Simplify M into M 7.970 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 7.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 7.972 * [backup-simplify]: Simplify (+ 0 0) into 0 7.973 * [backup-simplify]: Simplify (- 0) into 0 7.973 * [backup-simplify]: Simplify (+ 0 0) into 0 7.974 * [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))) 7.974 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 7.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 7.974 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 7.974 * [taylor]: Taking taylor expansion of (pow M 2) in n 7.974 * [taylor]: Taking taylor expansion of M in n 7.974 * [backup-simplify]: Simplify M into M 7.974 * [backup-simplify]: Simplify (* M M) into (pow M 2) 7.974 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 7.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 7.974 * [taylor]: Taking taylor expansion of 1/4 in n 7.974 * [backup-simplify]: Simplify 1/4 into 1/4 7.974 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 7.974 * [taylor]: Taking taylor expansion of (pow n 2) in n 7.974 * [taylor]: Taking taylor expansion of n in n 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (* 1 1) into 1 7.975 * [backup-simplify]: Simplify (/ 1 1) into 1 7.975 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 7.975 * [taylor]: Taking taylor expansion of (* M n) in n 7.975 * [taylor]: Taking taylor expansion of M in n 7.975 * [backup-simplify]: Simplify M into M 7.975 * [taylor]: Taking taylor expansion of n in n 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (* M 0) into 0 7.975 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 7.975 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 7.976 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 7.976 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 7.976 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 7.976 * [taylor]: Taking taylor expansion of 1/4 in M 7.976 * [backup-simplify]: Simplify 1/4 into 1/4 7.976 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.977 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.977 * [taylor]: Taking taylor expansion of 1/2 in M 7.977 * [backup-simplify]: Simplify 1/2 into 1/2 7.977 * [taylor]: Taking taylor expansion of 1/4 in M 7.977 * [backup-simplify]: Simplify 1/4 into 1/4 7.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 7.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 7.979 * [backup-simplify]: Simplify (+ 0 0) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.980 * [backup-simplify]: Simplify (+ 0 0) into 0 7.981 * [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 7.981 * [taylor]: Taking taylor expansion of 0 in n 7.981 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.983 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 7.984 * [backup-simplify]: Simplify (+ 0 0) into 0 7.984 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.984 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 7.984 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 7.984 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.984 * [taylor]: Taking taylor expansion of M in M 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (/ 1 1) into 1 7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.986 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 7.986 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 7.986 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 7.986 * [taylor]: Taking taylor expansion of (/ 1 M) in M 7.986 * [taylor]: Taking taylor expansion of M in M 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [backup-simplify]: Simplify (/ 1 1) into 1 7.987 * [taylor]: Taking taylor expansion of 0 in M 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 7.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 7.991 * [backup-simplify]: Simplify (+ 0 0) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [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 7.994 * [taylor]: Taking taylor expansion of 0 in n 7.994 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.996 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 7.997 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 7.997 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 7.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 7.998 * [backup-simplify]: Simplify (- 0) into 0 7.998 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 7.998 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 7.998 * [taylor]: Taking taylor expansion of (pow M 2) in M 7.998 * [taylor]: Taking taylor expansion of M in M 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (* 1 1) into 1 7.999 * [backup-simplify]: Simplify (/ 1 1) into 1 7.999 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 8.001 * [backup-simplify]: Simplify (- 0) into 0 8.002 * [backup-simplify]: Simplify (+ 0 0) into 0 8.002 * [taylor]: Taking taylor expansion of 0 in M 8.002 * [backup-simplify]: Simplify 0 into 0 8.002 * [taylor]: Taking taylor expansion of 0 in M 8.002 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify (- 1) into -1 8.002 * [backup-simplify]: Simplify -1 into -1 8.003 * [backup-simplify]: Simplify (- 1) into -1 8.003 * [backup-simplify]: Simplify -1 into -1 8.004 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 8.004 * * * [progress]: simplifying candidates 8.004 * * * * [progress]: [ 1 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 2 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 3 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 4 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 5 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 6 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 7 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 8 / 111 ] simplifiying candidate # 8.004 * * * * [progress]: [ 9 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 10 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 11 / 111 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 8.005 * * * * [progress]: [ 12 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 13 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 14 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 15 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 16 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 17 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 18 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 19 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 20 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 21 / 111 ] simplifiying candidate # 8.005 * * * * [progress]: [ 22 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 23 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 24 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 25 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 26 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 27 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 28 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 29 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 30 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 31 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 32 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 33 / 111 ] simplifiying candidate # 8.006 * * * * [progress]: [ 34 / 111 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M)) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 8.006 * * * * [progress]: [ 35 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 36 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 37 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 38 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 39 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 40 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 41 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 42 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 43 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 44 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 45 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 46 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 47 / 111 ] simplifiying candidate # 8.007 * * * * [progress]: [ 48 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 49 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 50 / 111 ] simplifiying candidate #real (real->posit16 (- (/ (* K (+ m n)) 2) M)))) (exp (- (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (fabs (- m n))))))> 8.008 * * * * [progress]: [ 51 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 52 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 53 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 54 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 55 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 56 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 57 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 58 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 59 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 60 / 111 ] simplifiying candidate # 8.008 * * * * [progress]: [ 61 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 62 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 63 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 64 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 65 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 66 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 67 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 68 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 69 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 70 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 71 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 72 / 111 ] simplifiying candidate # 8.009 * * * * [progress]: [ 73 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 74 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 75 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 76 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 77 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 78 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 79 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 80 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 81 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 82 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 83 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 84 / 111 ] simplifiying candidate # 8.010 * * * * [progress]: [ 85 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 86 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 87 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 88 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 89 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 90 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 91 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 92 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 93 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 94 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 95 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 96 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 97 / 111 ] simplifiying candidate # 8.011 * * * * [progress]: [ 98 / 111 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> 8.012 * * * * [progress]: [ 99 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 100 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 101 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 102 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 103 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 104 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 105 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 106 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 107 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 108 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 109 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 110 / 111 ] simplifiying candidate # 8.012 * * * * [progress]: [ 111 / 111 ] simplifiying candidate # 8.015 * [simplify]: Simplifying: (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))) (* (cos (/ (* K (+ m n)) 2)) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin M)) (log (cos (- (/ (* K (+ m n)) 2) M))) (exp (cos (- (/ (* K (+ m n)) 2) M))) (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (* (* (cos (- (/ (* K (+ m n)) 2) M)) (cos (- (/ (* K (+ m n)) 2) M))) (cos (- (/ (* K (+ m n)) 2) M))) (sqrt (cos (- (/ (* K (+ m n)) 2) M))) (sqrt (cos (- (/ (* K (+ m n)) 2) M))) (real->posit16 (cos (- (/ (* K (+ m n)) 2) M))) (* K (+ m n)) (+ (log K) (log (+ m n))) (log (* K (+ m n))) (exp (* K (+ m n))) (* (* (* K K) K) (* (* (+ m n) (+ m n)) (+ m n))) (* (cbrt (* K (+ m n))) (cbrt (* K (+ m n)))) (cbrt (* K (+ m n))) (* (* (* K (+ m n)) (* K (+ m n))) (* K (+ m n))) (sqrt (* K (+ m n))) (sqrt (* K (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* (sqrt K) (sqrt (+ m n))) (* K m) (* K n) (* m K) (* n K) (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* K (sqrt (+ m n))) (* K 1) (* K 1) (* (cbrt K) (+ m n)) (* (sqrt K) (+ m n)) (* K (+ m n)) (* K (+ (pow m 3) (pow n 3))) (* K (- (* m m) (* n n))) (real->posit16 (* K (+ m n))) (/ (exp (/ (* K (+ m n)) 2)) (exp M)) (log (- (/ (* K (+ m n)) 2) M)) (exp (- (/ (* K (+ m n)) 2) M)) (* (cbrt (- (/ (* K (+ m n)) 2) M)) (cbrt (- (/ (* K (+ m n)) 2) M))) (cbrt (- (/ (* K (+ m n)) 2) M)) (* (* (- (/ (* K (+ m n)) 2) M) (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M)) (sqrt (- (/ (* K (+ m n)) 2) M)) (sqrt (- (/ (* K (+ m n)) 2) M)) (- (pow (/ (* K (+ m n)) 2) 3) (pow M 3)) (+ (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (+ (* M M) (* (/ (* K (+ m n)) 2) M))) (- M) (- (* (/ (* K (+ m n)) 2) (/ (* K (+ m n)) 2)) (* M M)) (+ (/ (* K (+ m n)) 2) M) (+ (sqrt (/ (* K (+ m n)) 2)) (sqrt M)) (- (sqrt (/ (* K (+ m n)) 2)) (sqrt M)) (- (/ (* K (+ m n)) 2) M) (- M) (real->posit16 (- (/ (* K (+ m n)) 2) M)) (+ 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (+ 1 1) (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))) (* 2 1) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) 1) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) 1) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 1 (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) (+ (* m K) (* K n)) (+ (* m K) (* K n)) (+ (* m K) (* K n)) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) (- (pow M 2) (+ (* m M) (* M n))) (- (pow M 2) (+ (* m M) (* M n))) 8.019 * * [simplify]: iteration 0: 183 enodes 8.086 * * [simplify]: iteration 1: 494 enodes 8.332 * * [simplify]: iteration 2: 1642 enodes 8.771 * * [simplify]: iteration 3: 2001 enodes 9.193 * * [simplify]: iteration complete: 2001 enodes 9.194 * * [simplify]: Extracting #0: cost 83 inf + 0 9.194 * * [simplify]: Extracting #1: cost 382 inf + 3 9.197 * * [simplify]: Extracting #2: cost 562 inf + 8739 9.215 * * [simplify]: Extracting #3: cost 306 inf + 62502 9.237 * * [simplify]: Extracting #4: cost 52 inf + 128509 9.282 * * [simplify]: Extracting #5: cost 38 inf + 136555 9.332 * * [simplify]: Extracting #6: cost 14 inf + 140749 9.383 * * [simplify]: Extracting #7: cost 2 inf + 143477 9.431 * * [simplify]: Extracting #8: cost 0 inf + 144145 9.459 * [simplify]: Simplified to: (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (- M)) (sin (/ (* (+ m n) K) 2))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (- M)) (sin (/ (* (+ m n) K) 2))) (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M)) (log (cos (- (/ (* (+ m n) K) 2) M))) (exp (cos (- (/ (* (+ m n) K) 2) M))) (* (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (cbrt (cos (- (/ (* (+ m n) K) 2) M)))) (cbrt (cos (- (/ (* (+ m n) K) 2) M))) (* (* (cos (- (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (sqrt (cos (- (/ (* (+ m n) K) 2) M))) (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))) (* (+ m n) K) (log (* (+ m n) K)) (log (* (+ m n) K)) (exp (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K)) (* (* (+ m n) K) (* (* (+ m n) K) (* (+ m n) K))) (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K)) (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K)) (* K m) (* K n) (* K m) (* K n) (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (* K (sqrt (+ m n))) K K (* (+ m n) (cbrt K)) (* (+ m n) (sqrt K)) (* (+ m n) K) (* (+ (* (* m m) m) (* (* n n) n)) K) (* (+ m n) (* (- m n) K)) (real->posit16 (* (+ m n) K)) (exp (- (/ (* (+ m n) K) 2) M)) (log (- (/ (* (+ m n) K) 2) M)) (exp (- (/ (* (+ m n) K) 2) M)) (* (cbrt (- (/ (* (+ m n) K) 2) M)) (cbrt (- (/ (* (+ m n) K) 2) M))) (cbrt (- (/ (* (+ m n) K) 2) M)) (* (- (/ (* (+ m n) K) 2) M) (* (- (/ (* (+ m n) K) 2) M) (- (/ (* (+ m n) K) 2) M))) (sqrt (- (/ (* (+ m n) K) 2) M)) (sqrt (- (/ (* (+ m n) K) 2) M)) (- (* (/ (* (+ m n) K) 2) (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2))) (* (* M M) M)) (+ (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (* M (+ M (/ (* (+ m n) K) 2)))) (- M) (* (+ M (/ (* (+ m n) K) 2)) (- (/ (* (+ m n) K) 2) M)) (+ M (/ (* (+ m n) K) 2)) (+ (sqrt M) (sqrt (/ (* (+ m n) K) 2))) (- (sqrt (/ (* (+ m n) K) 2)) (sqrt M)) (- (/ (* (+ m n) K) 2) M) (- M) (real->posit16 (- (/ (* (+ m n) K) 2) M)) 2 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 2 (* (log (- (/ (+ m n) 2) M)) 2) (* (log (- (/ (+ m n) 2) M)) 2) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (fabs (- (/ (+ m n) 2) M)) (fabs (- (/ (+ m n) 2) M)) (* (- (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2)) (* (* M M) M)) (- (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2)) (* (* M M) M))) (* (+ (* (+ (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M M)) (+ (* (+ (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M M))) (* (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (- (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2)) (* (* M M) M))) (* (+ (/ (+ m n) 2) M) (+ (* (+ (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M M))) (* (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (- (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2)) (* (* M M) M))) (* (+ (/ (+ m n) 2) M) (+ (* (+ (/ (+ m n) 2) M) (/ (+ m n) 2)) (* M M))) (* (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) 2 (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- M)) (* (cbrt (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M)))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (cbrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (sqrt (/ (+ m n) 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2)) (* (* M M) M))) (* (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (* (* (/ (+ m n) 2) (/ (+ m n) 2)) (/ (+ m n) 2)) (* (* M M) M))) (* (- (/ (+ m n) 2) M) (* (- (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M))) (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) 1 (cos (- (* (+ (* K n) (* K m)) 1/2) M)) (cos (- (* (+ (* K n) (* K m)) 1/2) M)) (+ (* K n) (* K m)) (+ (* K n) (* K m)) (+ (* K n) (* K m)) (- (* (+ (* K n) (* K m)) 1/2) M) (- (* (+ (* K n) (* K m)) 1/2) M) (- (* (+ (* K n) (* K m)) 1/2) M) (+ (* (+ (* n n) (* m m)) 1/4) (* (* n m) 1/2)) (- (* M M) (* M (+ m n))) (- (* M M) (* M (+ m n))) 9.477 * * * [progress]: adding candidates to table 10.108 * [progress]: [Phase 3 of 3] Extracting. 10.108 * * [regime]: Finding splitpoints for: (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # # # # #) 10.113 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 10.113 * * * * [regimes]: Trying to branch on l from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # # # # #) 10.187 * * * * [regimes]: Trying to branch on M from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # # # # #) 10.287 * * * * [regimes]: Trying to branch on n from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # # # # #) 10.384 * * * * [regimes]: Trying to branch on m from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # # # # #) 10.452 * * * * [regimes]: Trying to branch on K from (#real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (fabs (- m n))))))> # # # # #) 10.548 * * * [regime]: Found split indices: #