0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.093 * [simplify]: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.094 * * [simplify]: iteration 1: (21 enodes) 0.099 * * [simplify]: iteration 2: (93 enodes) 0.115 * * [simplify]: iteration 3: (170 enodes) 0.179 * * [simplify]: iteration 4: (347 enodes) 0.264 * * [simplify]: iteration 5: (861 enodes) 0.693 * * [simplify]: Extracting #0: cost 1 inf + 0 0.693 * * [simplify]: Extracting #1: cost 62 inf + 0 0.694 * * [simplify]: Extracting #2: cost 326 inf + 1 0.696 * * [simplify]: Extracting #3: cost 584 inf + 396 0.699 * * [simplify]: Extracting #4: cost 710 inf + 1294 0.706 * * [simplify]: Extracting #5: cost 609 inf + 24990 0.736 * * [simplify]: Extracting #6: cost 263 inf + 125384 0.823 * * [simplify]: Extracting #7: cost 40 inf + 221700 0.900 * * [simplify]: Extracting #8: cost 0 inf + 245612 0.974 * [simplify]: Simplified to (* (exp (- (fabs (- m n)) (+ l (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cos (- (/ (* (+ m n) K) 2) M))) 0.988 * * [progress]: iteration 1 / 4 0.988 * * * [progress]: picking best candidate 0.993 * * * * [pick]: Picked # 0.993 * * * [progress]: localizing error 1.040 * * * [progress]: generating rewritten candidates 1.040 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.067 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 1.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.306 * * * [progress]: generating series expansions 1.306 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.306 * [backup-simplify]: Simplify (cos (- (/ (* (+ m n) K) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 1.306 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 1.306 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 1.306 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.306 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.306 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.306 * [taylor]: Taking taylor expansion of 1/2 in M 1.306 * [backup-simplify]: Simplify 1/2 into 1/2 1.306 * [taylor]: Taking taylor expansion of (* K n) in M 1.306 * [taylor]: Taking taylor expansion of K in M 1.306 * [backup-simplify]: Simplify K into K 1.306 * [taylor]: Taking taylor expansion of n in M 1.306 * [backup-simplify]: Simplify n into n 1.306 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.306 * [taylor]: Taking taylor expansion of 1/2 in M 1.306 * [backup-simplify]: Simplify 1/2 into 1/2 1.306 * [taylor]: Taking taylor expansion of (* K m) in M 1.306 * [taylor]: Taking taylor expansion of K in M 1.306 * [backup-simplify]: Simplify K into K 1.306 * [taylor]: Taking taylor expansion of m in M 1.306 * [backup-simplify]: Simplify m into m 1.306 * [taylor]: Taking taylor expansion of M in M 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* K n) into (* K n) 1.306 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.306 * [backup-simplify]: Simplify (* K m) into (* K m) 1.306 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.307 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.307 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 1.307 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.307 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1.308 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 1.308 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.308 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.308 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.308 * [taylor]: Taking taylor expansion of 1/2 in K 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of (* K n) in K 1.308 * [taylor]: Taking taylor expansion of K in K 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of n in K 1.308 * [backup-simplify]: Simplify n into n 1.308 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.308 * [taylor]: Taking taylor expansion of 1/2 in K 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of (* K m) in K 1.308 * [taylor]: Taking taylor expansion of K in K 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of m in K 1.308 * [backup-simplify]: Simplify m into m 1.308 * [taylor]: Taking taylor expansion of M in K 1.308 * [backup-simplify]: Simplify M into M 1.308 * [backup-simplify]: Simplify (* 0 n) into 0 1.308 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.308 * [backup-simplify]: Simplify (* 0 m) into 0 1.309 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.309 * [backup-simplify]: Simplify (+ 0 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 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 1.309 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.309 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.309 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.309 * [taylor]: Taking taylor expansion of 1/2 in n 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of (* K n) in n 1.309 * [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 (* 1/2 (* K m)) in n 1.309 * [taylor]: Taking taylor expansion of 1/2 in n 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of (* K m) in n 1.309 * [taylor]: Taking taylor expansion of K in n 1.309 * [backup-simplify]: Simplify K into K 1.309 * [taylor]: Taking taylor expansion of m in n 1.309 * [backup-simplify]: Simplify m into m 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 1.310 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.310 * [backup-simplify]: Simplify (* K m) into (* K m) 1.310 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 1.310 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 1.310 * [backup-simplify]: Simplify (- M) into (- M) 1.310 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 1.310 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 1.310 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 1.310 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.310 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.310 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.310 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.310 * [taylor]: Taking taylor expansion of 1/2 in m 1.310 * [backup-simplify]: Simplify 1/2 into 1/2 1.310 * [taylor]: Taking taylor expansion of (* K n) in m 1.310 * [taylor]: Taking taylor expansion of K in m 1.310 * [backup-simplify]: Simplify K into K 1.310 * [taylor]: Taking taylor expansion of n in m 1.310 * [backup-simplify]: Simplify n into n 1.310 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.310 * [taylor]: Taking taylor expansion of 1/2 in m 1.310 * [backup-simplify]: Simplify 1/2 into 1/2 1.310 * [taylor]: Taking taylor expansion of (* K m) in m 1.310 * [taylor]: Taking taylor expansion of K in m 1.310 * [backup-simplify]: Simplify K into K 1.310 * [taylor]: Taking taylor expansion of m in m 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [taylor]: Taking taylor expansion of M in m 1.310 * [backup-simplify]: Simplify M into M 1.310 * [backup-simplify]: Simplify (* K n) into (* K n) 1.310 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.311 * [backup-simplify]: Simplify (* K 0) into 0 1.311 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.311 * [backup-simplify]: Simplify (- M) into (- M) 1.311 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.311 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.311 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.311 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 1.311 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.311 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.311 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.311 * [taylor]: Taking taylor expansion of 1/2 in m 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of (* K n) in m 1.311 * [taylor]: Taking taylor expansion of K in m 1.311 * [backup-simplify]: Simplify K into K 1.311 * [taylor]: Taking taylor expansion of n in m 1.311 * [backup-simplify]: Simplify n into n 1.311 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.311 * [taylor]: Taking taylor expansion of 1/2 in m 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of (* K m) in m 1.311 * [taylor]: Taking taylor expansion of K in m 1.311 * [backup-simplify]: Simplify K into K 1.311 * [taylor]: Taking taylor expansion of m in m 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.312 * [taylor]: Taking taylor expansion of M in m 1.312 * [backup-simplify]: Simplify M into M 1.312 * [backup-simplify]: Simplify (* K n) into (* K n) 1.312 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.312 * [backup-simplify]: Simplify (* K 0) into 0 1.312 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.312 * [backup-simplify]: Simplify (- M) into (- M) 1.312 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.313 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 1.313 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 1.313 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 1.313 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 1.314 * [backup-simplify]: Simplify (- 0) into 0 1.314 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 1.314 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.314 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.314 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.314 * [taylor]: Taking taylor expansion of 1/2 in n 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of (* K n) in n 1.314 * [taylor]: Taking taylor expansion of K in n 1.314 * [backup-simplify]: Simplify K into K 1.314 * [taylor]: Taking taylor expansion of n in n 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [taylor]: Taking taylor expansion of M in n 1.315 * [backup-simplify]: Simplify M into M 1.315 * [backup-simplify]: Simplify (* K 0) into 0 1.315 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.315 * [backup-simplify]: Simplify (- M) into (- M) 1.315 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.315 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.315 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.315 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.315 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 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)) 1.316 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.316 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.320 * [taylor]: Taking taylor expansion of (cos (- M)) in M 1.320 * [taylor]: Taking taylor expansion of (- M) in M 1.320 * [taylor]: Taking taylor expansion of M in M 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (- 1) into -1 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (+ 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 1.322 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.323 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.324 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.324 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.324 * [backup-simplify]: Simplify (- 0) into 0 1.324 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.325 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 1.325 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.326 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 1.326 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 1.326 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 1.326 * [taylor]: Taking taylor expansion of 1/2 in n 1.326 * [backup-simplify]: Simplify 1/2 into 1/2 1.326 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 1.326 * [taylor]: Taking taylor expansion of K in n 1.326 * [backup-simplify]: Simplify K into K 1.326 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 1.326 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.326 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.326 * [taylor]: Taking taylor expansion of 1/2 in n 1.326 * [backup-simplify]: Simplify 1/2 into 1/2 1.326 * [taylor]: Taking taylor expansion of (* K n) in n 1.326 * [taylor]: Taking taylor expansion of K in n 1.326 * [backup-simplify]: Simplify K into K 1.326 * [taylor]: Taking taylor expansion of n in n 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [taylor]: Taking taylor expansion of M in n 1.326 * [backup-simplify]: Simplify M into M 1.326 * [backup-simplify]: Simplify (* K 0) into 0 1.327 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.327 * [backup-simplify]: Simplify (- M) into (- M) 1.327 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.327 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.327 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.327 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.327 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.327 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.327 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 1.327 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 1.327 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.327 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.327 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) 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 (* K (sin (- M))) in K 1.327 * [taylor]: Taking taylor expansion of K in K 1.327 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.328 * [taylor]: Taking taylor expansion of (- 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 (- M) into (- M) 1.328 * [backup-simplify]: Simplify (- M) into (- M) 1.328 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.328 * [backup-simplify]: Simplify (- M) into (- M) 1.328 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.328 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.328 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.328 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.328 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.329 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [taylor]: Taking taylor expansion of 0 in M 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (+ 0) into 0 1.330 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.330 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.331 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.332 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 1.332 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 1.332 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 1.332 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 1.332 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 1.332 * [taylor]: Taking taylor expansion of 1/2 in K 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 1.332 * [taylor]: Taking taylor expansion of K in K 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [taylor]: Taking taylor expansion of (sin (- M)) in K 1.332 * [taylor]: Taking taylor expansion of (- M) in K 1.332 * [taylor]: Taking taylor expansion of M in K 1.332 * [backup-simplify]: Simplify M into M 1.332 * [backup-simplify]: Simplify (- M) into (- M) 1.332 * [backup-simplify]: Simplify (- M) into (- M) 1.333 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.333 * [backup-simplify]: Simplify (- M) into (- M) 1.333 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.333 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 1.333 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 1.333 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 1.333 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 1.333 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [taylor]: Taking taylor expansion of 0 in M 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ 0) into 0 1.335 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.336 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ 0 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 1.338 * [backup-simplify]: Simplify (+ 0) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.339 * [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))))) 1.339 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.342 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.343 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [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))))) 1.343 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 1.343 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 1.343 * [taylor]: Taking taylor expansion of 1/8 in n 1.343 * [backup-simplify]: Simplify 1/8 into 1/8 1.343 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 1.343 * [taylor]: Taking taylor expansion of (pow K 2) in n 1.343 * [taylor]: Taking taylor expansion of K in n 1.343 * [backup-simplify]: Simplify K into K 1.343 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 1.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.343 * [taylor]: Taking taylor expansion of 1/2 in n 1.343 * [backup-simplify]: Simplify 1/2 into 1/2 1.343 * [taylor]: Taking taylor expansion of (* K n) in n 1.343 * [taylor]: Taking taylor expansion of K in n 1.343 * [backup-simplify]: Simplify K into K 1.343 * [taylor]: Taking taylor expansion of n in n 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of M in n 1.343 * [backup-simplify]: Simplify M into M 1.343 * [backup-simplify]: Simplify (* K 0) into 0 1.343 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.343 * [backup-simplify]: Simplify (- M) into (- M) 1.343 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.344 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.344 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.344 * [backup-simplify]: Simplify (* K K) into (pow K 2) 1.344 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 1.344 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 1.344 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 1.344 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 1.344 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.344 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.344 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.344 * [taylor]: Taking taylor expansion of 1/8 in K 1.344 * [backup-simplify]: Simplify 1/8 into 1/8 1.344 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.344 * [taylor]: Taking taylor expansion of (pow K 2) in K 1.344 * [taylor]: Taking taylor expansion of K in K 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [taylor]: Taking taylor expansion of (cos (- M)) in K 1.344 * [taylor]: Taking taylor expansion of (- M) in K 1.344 * [taylor]: Taking taylor expansion of M in K 1.344 * [backup-simplify]: Simplify M into M 1.345 * [backup-simplify]: Simplify (- M) into (- M) 1.345 * [backup-simplify]: Simplify (- M) into (- M) 1.345 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.345 * [backup-simplify]: Simplify (- M) into (- M) 1.345 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.345 * [backup-simplify]: Simplify (+ 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.346 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.346 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 1.347 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 1.347 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 1.347 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 1.347 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 1.347 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 1.347 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 1.347 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 1.347 * [taylor]: Taking taylor expansion of 1/4 in K 1.347 * [backup-simplify]: Simplify 1/4 into 1/4 1.347 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.347 * [taylor]: Taking taylor expansion of (pow K 2) 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 (cos (- M)) in K 1.347 * [taylor]: Taking taylor expansion of (- 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 (- M) into (- M) 1.347 * [backup-simplify]: Simplify (- M) into (- M) 1.347 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.347 * [backup-simplify]: Simplify (- M) into (- M) 1.347 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.348 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 1.348 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.349 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.351 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 1.351 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 1.351 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 1.351 * [taylor]: Taking taylor expansion of 1/8 in K 1.351 * [backup-simplify]: Simplify 1/8 into 1/8 1.351 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 1.351 * [taylor]: Taking taylor expansion of (pow K 2) 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 (cos (- M)) in K 1.351 * [taylor]: Taking taylor expansion of (- M) in K 1.351 * [taylor]: Taking taylor expansion of M in K 1.352 * [backup-simplify]: Simplify M into M 1.352 * [backup-simplify]: Simplify (- M) into (- M) 1.352 * [backup-simplify]: Simplify (- M) into (- M) 1.352 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 1.352 * [backup-simplify]: Simplify (- M) into (- M) 1.352 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 1.352 * [backup-simplify]: Simplify (+ 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.354 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.354 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.354 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.354 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.354 * [taylor]: Taking taylor expansion of 1/2 in M 1.354 * [backup-simplify]: Simplify 1/2 into 1/2 1.354 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.354 * [taylor]: Taking taylor expansion of (- 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 (- 0) into 0 1.355 * [backup-simplify]: Simplify (- 1) into -1 1.355 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.355 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (+ 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 1.358 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 1.358 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 1.358 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 1.358 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 1.358 * [taylor]: Taking taylor expansion of 1/2 in M 1.358 * [backup-simplify]: Simplify 1/2 into 1/2 1.358 * [taylor]: Taking taylor expansion of (sin (- M)) in M 1.358 * [taylor]: Taking taylor expansion of (- M) in M 1.358 * [taylor]: Taking taylor expansion of M in M 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (- 1) into -1 1.359 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.359 * [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))) 1.359 * [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 1.359 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.359 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.359 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.359 * [taylor]: Taking taylor expansion of 1/2 in M 1.359 * [backup-simplify]: Simplify 1/2 into 1/2 1.359 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.359 * [taylor]: Taking taylor expansion of (* m K) in M 1.359 * [taylor]: Taking taylor expansion of m in M 1.359 * [backup-simplify]: Simplify m into m 1.359 * [taylor]: Taking taylor expansion of K in M 1.359 * [backup-simplify]: Simplify K into K 1.360 * [backup-simplify]: Simplify (* m K) into (* m K) 1.360 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.360 * [taylor]: Taking taylor expansion of 1/2 in M 1.360 * [backup-simplify]: Simplify 1/2 into 1/2 1.360 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.360 * [taylor]: Taking taylor expansion of (* K n) in M 1.360 * [taylor]: Taking taylor expansion of K in M 1.360 * [backup-simplify]: Simplify K into K 1.360 * [taylor]: Taking taylor expansion of n in M 1.360 * [backup-simplify]: Simplify n into n 1.360 * [backup-simplify]: Simplify (* K n) into (* K n) 1.360 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.360 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.360 * [taylor]: Taking taylor expansion of M in M 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [backup-simplify]: Simplify (- 1) into -1 1.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.361 * [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))) 1.361 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.361 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.361 * [taylor]: Taking taylor expansion of 1/2 in K 1.361 * [backup-simplify]: Simplify 1/2 into 1/2 1.361 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.361 * [taylor]: Taking taylor expansion of (* m K) in K 1.361 * [taylor]: Taking taylor expansion of m in K 1.361 * [backup-simplify]: Simplify m into m 1.361 * [taylor]: Taking taylor expansion of K in K 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (* m 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.361 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.361 * [taylor]: Taking taylor expansion of 1/2 in K 1.362 * [backup-simplify]: Simplify 1/2 into 1/2 1.362 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.362 * [taylor]: Taking taylor expansion of (* K n) in K 1.362 * [taylor]: Taking taylor expansion of K in K 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [taylor]: Taking taylor expansion of n in K 1.362 * [backup-simplify]: Simplify n into n 1.362 * [backup-simplify]: Simplify (* 0 n) into 0 1.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.362 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.362 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.362 * [taylor]: Taking taylor expansion of M in K 1.362 * [backup-simplify]: Simplify M into M 1.362 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.362 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.362 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.362 * [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))) 1.363 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.363 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.363 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.363 * [taylor]: Taking taylor expansion of 1/2 in n 1.363 * [backup-simplify]: Simplify 1/2 into 1/2 1.363 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.363 * [taylor]: Taking taylor expansion of (* m K) in n 1.363 * [taylor]: Taking taylor expansion of m in n 1.363 * [backup-simplify]: Simplify m into m 1.363 * [taylor]: Taking taylor expansion of K in n 1.363 * [backup-simplify]: Simplify K into K 1.363 * [backup-simplify]: Simplify (* m K) into (* m K) 1.363 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.363 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.363 * [taylor]: Taking taylor expansion of 1/2 in n 1.363 * [backup-simplify]: Simplify 1/2 into 1/2 1.363 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.363 * [taylor]: Taking taylor expansion of (* K n) in n 1.363 * [taylor]: Taking taylor expansion of K in n 1.363 * [backup-simplify]: Simplify K into K 1.363 * [taylor]: Taking taylor expansion of n in n 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (* K 0) into 0 1.363 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.363 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.363 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.363 * [taylor]: Taking taylor expansion of M in n 1.363 * [backup-simplify]: Simplify M into M 1.363 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.363 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.363 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.364 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.364 * [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))) 1.364 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.364 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.364 * [taylor]: Taking taylor expansion of 1/2 in m 1.364 * [backup-simplify]: Simplify 1/2 into 1/2 1.364 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.364 * [taylor]: Taking taylor expansion of (* m K) in m 1.364 * [taylor]: Taking taylor expansion of m in m 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [taylor]: Taking taylor expansion of K in m 1.364 * [backup-simplify]: Simplify K into K 1.364 * [backup-simplify]: Simplify (* 0 K) into 0 1.364 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.364 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.364 * [taylor]: Taking taylor expansion of 1/2 in m 1.364 * [backup-simplify]: Simplify 1/2 into 1/2 1.364 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.364 * [taylor]: Taking taylor expansion of (* K n) in m 1.364 * [taylor]: Taking taylor expansion of K in m 1.364 * [backup-simplify]: Simplify K into K 1.364 * [taylor]: Taking taylor expansion of n in m 1.364 * [backup-simplify]: Simplify n into n 1.364 * [backup-simplify]: Simplify (* K n) into (* K n) 1.364 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 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 M into M 1.365 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.365 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.365 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.365 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.365 * [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))) 1.365 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 1.365 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.365 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.365 * [taylor]: Taking taylor expansion of 1/2 in m 1.365 * [backup-simplify]: Simplify 1/2 into 1/2 1.365 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.365 * [taylor]: Taking taylor expansion of (* m K) 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 * [taylor]: Taking taylor expansion of K in m 1.365 * [backup-simplify]: Simplify K into K 1.365 * [backup-simplify]: Simplify (* 0 K) into 0 1.365 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.365 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.366 * [taylor]: Taking taylor expansion of 1/2 in m 1.366 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.366 * [taylor]: Taking taylor expansion of (* K n) in m 1.366 * [taylor]: Taking taylor expansion of K in m 1.366 * [backup-simplify]: Simplify K into K 1.366 * [taylor]: Taking taylor expansion of n in m 1.366 * [backup-simplify]: Simplify n into n 1.366 * [backup-simplify]: Simplify (* K n) into (* K n) 1.366 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 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 M into M 1.366 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.366 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.366 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.366 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.366 * [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))) 1.366 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 1.366 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.366 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.366 * [taylor]: Taking taylor expansion of 1/2 in n 1.366 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.366 * [taylor]: Taking taylor expansion of (* m K) in n 1.366 * [taylor]: Taking taylor expansion of m in n 1.366 * [backup-simplify]: Simplify m into m 1.366 * [taylor]: Taking taylor expansion of K in n 1.366 * [backup-simplify]: Simplify K into K 1.366 * [backup-simplify]: Simplify (* m K) into (* m K) 1.367 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.367 * [taylor]: Taking taylor expansion of 1/2 in n 1.367 * [backup-simplify]: Simplify 1/2 into 1/2 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 M) in n 1.367 * [taylor]: Taking taylor expansion of M in n 1.367 * [backup-simplify]: Simplify M into M 1.367 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.367 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.367 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.367 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.367 * [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))) 1.367 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 1.368 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.368 * [taylor]: Taking taylor expansion of 1/2 in K 1.368 * [backup-simplify]: Simplify 1/2 into 1/2 1.368 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.368 * [taylor]: Taking taylor expansion of (* m K) in K 1.368 * [taylor]: Taking taylor expansion of m in K 1.368 * [backup-simplify]: Simplify m into m 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 (* m 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.368 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.369 * [taylor]: Taking taylor expansion of 1/2 in K 1.369 * [backup-simplify]: Simplify 1/2 into 1/2 1.369 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.369 * [taylor]: Taking taylor expansion of (* K n) in K 1.369 * [taylor]: Taking taylor expansion of K in K 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [taylor]: Taking taylor expansion of n in K 1.369 * [backup-simplify]: Simplify n into n 1.369 * [backup-simplify]: Simplify (* 0 n) into 0 1.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.369 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.369 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.369 * [taylor]: Taking taylor expansion of M in K 1.370 * [backup-simplify]: Simplify M into M 1.370 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.370 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.370 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.370 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.370 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.370 * [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))) 1.371 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 1.371 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.371 * [taylor]: Taking taylor expansion of 1/2 in M 1.371 * [backup-simplify]: Simplify 1/2 into 1/2 1.371 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.371 * [taylor]: Taking taylor expansion of (* m K) in M 1.371 * [taylor]: Taking taylor expansion of m in M 1.371 * [backup-simplify]: Simplify m into m 1.371 * [taylor]: Taking taylor expansion of K in M 1.371 * [backup-simplify]: Simplify K into K 1.371 * [backup-simplify]: Simplify (* m K) into (* m K) 1.371 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.371 * [taylor]: Taking taylor expansion of 1/2 in M 1.371 * [backup-simplify]: Simplify 1/2 into 1/2 1.371 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.371 * [taylor]: Taking taylor expansion of (* K n) in M 1.371 * [taylor]: Taking taylor expansion of K in M 1.371 * [backup-simplify]: Simplify K into K 1.371 * [taylor]: Taking taylor expansion of n in M 1.371 * [backup-simplify]: Simplify n into n 1.371 * [backup-simplify]: Simplify (* K n) into (* K n) 1.371 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.372 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.372 * [taylor]: Taking taylor expansion of M in M 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [backup-simplify]: Simplify (- 1) into -1 1.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.374 * [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))) 1.374 * [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))) 1.374 * [taylor]: Taking taylor expansion of 0 in n 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [taylor]: Taking taylor expansion of 0 in K 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [taylor]: Taking taylor expansion of 0 in M 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in K 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in M 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in M 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in n 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in K 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in M 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in K 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in M 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [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)) 1.376 * [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)))))) 1.376 * [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 1.376 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.376 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.376 * [taylor]: Taking taylor expansion of M in M 1.376 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.377 * [taylor]: Taking taylor expansion of 1/2 in M 1.377 * [backup-simplify]: Simplify 1/2 into 1/2 1.377 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.377 * [taylor]: Taking taylor expansion of (* m K) in M 1.377 * [taylor]: Taking taylor expansion of m in M 1.377 * [backup-simplify]: Simplify m into m 1.377 * [taylor]: Taking taylor expansion of K in M 1.378 * [backup-simplify]: Simplify K into K 1.378 * [backup-simplify]: Simplify (* m K) into (* m K) 1.378 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.378 * [taylor]: Taking taylor expansion of 1/2 in M 1.378 * [backup-simplify]: Simplify 1/2 into 1/2 1.378 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.378 * [taylor]: Taking taylor expansion of (* K n) in M 1.378 * [taylor]: Taking taylor expansion of K in M 1.378 * [backup-simplify]: Simplify K into K 1.378 * [taylor]: Taking taylor expansion of n in M 1.378 * [backup-simplify]: Simplify n into n 1.378 * [backup-simplify]: Simplify (* K n) into (* K n) 1.378 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.379 * [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)))))) 1.379 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.379 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.379 * [taylor]: Taking taylor expansion of M in K 1.379 * [backup-simplify]: Simplify M into M 1.379 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.379 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m 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 (/ 1 (* m K)) in K 1.380 * [taylor]: Taking taylor expansion of (* m K) in K 1.380 * [taylor]: Taking taylor expansion of m in K 1.380 * [backup-simplify]: Simplify m into m 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 (* m 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.380 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.381 * [taylor]: Taking taylor expansion of 1/2 in K 1.381 * [backup-simplify]: Simplify 1/2 into 1/2 1.381 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.381 * [taylor]: Taking taylor expansion of (* K n) in K 1.381 * [taylor]: Taking taylor expansion of K in K 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [taylor]: Taking taylor expansion of n in K 1.381 * [backup-simplify]: Simplify n into n 1.381 * [backup-simplify]: Simplify (* 0 n) into 0 1.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.381 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.381 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.382 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.382 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.382 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.382 * [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)))))) 1.382 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.382 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.382 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.382 * [taylor]: Taking taylor expansion of M in n 1.382 * [backup-simplify]: Simplify M into M 1.383 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.383 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.383 * [taylor]: Taking taylor expansion of 1/2 in n 1.383 * [backup-simplify]: Simplify 1/2 into 1/2 1.383 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.383 * [taylor]: Taking taylor expansion of (* m K) in n 1.383 * [taylor]: Taking taylor expansion of m in n 1.383 * [backup-simplify]: Simplify m into m 1.383 * [taylor]: Taking taylor expansion of K in n 1.383 * [backup-simplify]: Simplify K into K 1.383 * [backup-simplify]: Simplify (* m K) into (* m K) 1.383 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.383 * [taylor]: Taking taylor expansion of 1/2 in n 1.383 * [backup-simplify]: Simplify 1/2 into 1/2 1.383 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.383 * [taylor]: Taking taylor expansion of (* K n) in n 1.384 * [taylor]: Taking taylor expansion of K in n 1.384 * [backup-simplify]: Simplify K into K 1.384 * [taylor]: Taking taylor expansion of n in n 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (* K 0) into 0 1.385 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.385 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.385 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.385 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.385 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.385 * [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)))))) 1.385 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.385 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.385 * [taylor]: Taking taylor expansion of M in m 1.385 * [backup-simplify]: Simplify M into M 1.386 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.386 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.386 * [taylor]: Taking taylor expansion of 1/2 in m 1.386 * [backup-simplify]: Simplify 1/2 into 1/2 1.386 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.386 * [taylor]: Taking taylor expansion of (* m K) in m 1.386 * [taylor]: Taking taylor expansion of m in m 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [taylor]: Taking taylor expansion of K in m 1.386 * [backup-simplify]: Simplify K into K 1.386 * [backup-simplify]: Simplify (* 0 K) into 0 1.386 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.386 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 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 1.387 * [backup-simplify]: Simplify 1/2 into 1/2 1.387 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.387 * [taylor]: Taking taylor expansion of (* K n) in m 1.387 * [taylor]: Taking taylor expansion of K in m 1.387 * [backup-simplify]: Simplify K into K 1.387 * [taylor]: Taking taylor expansion of n in m 1.387 * [backup-simplify]: Simplify n into n 1.387 * [backup-simplify]: Simplify (* K n) into (* K n) 1.387 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.387 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.387 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.387 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.387 * [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)))))) 1.388 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 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 M into M 1.388 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.388 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.388 * [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 (* m K)) in m 1.388 * [taylor]: Taking taylor expansion of (* m K) 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 * [taylor]: Taking taylor expansion of K in m 1.388 * [backup-simplify]: Simplify K into K 1.388 * [backup-simplify]: Simplify (* 0 K) into 0 1.389 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.389 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.389 * [taylor]: Taking taylor expansion of 1/2 in m 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.389 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.389 * [taylor]: Taking taylor expansion of (* K n) in m 1.389 * [taylor]: Taking taylor expansion of K in m 1.389 * [backup-simplify]: Simplify K into K 1.389 * [taylor]: Taking taylor expansion of n in m 1.389 * [backup-simplify]: Simplify n into n 1.389 * [backup-simplify]: Simplify (* K n) into (* K n) 1.389 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.389 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.389 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.389 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.390 * [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)))))) 1.390 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 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)))) in n 1.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.390 * [taylor]: Taking taylor expansion of 1/2 in n 1.390 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.390 * [taylor]: Taking taylor expansion of (* m K) in n 1.390 * [taylor]: Taking taylor expansion of m in n 1.390 * [backup-simplify]: Simplify m into m 1.390 * [taylor]: Taking taylor expansion of K in n 1.390 * [backup-simplify]: Simplify K into K 1.390 * [backup-simplify]: Simplify (* m K) into (* m K) 1.391 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.391 * [taylor]: Taking taylor expansion of 1/2 in n 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.391 * [taylor]: Taking taylor expansion of (* K n) in n 1.391 * [taylor]: Taking taylor expansion of K in n 1.391 * [backup-simplify]: Simplify K into K 1.391 * [taylor]: Taking taylor expansion of n in n 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* K 0) into 0 1.392 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.392 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.392 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.392 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.392 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.392 * [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)))))) 1.392 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.392 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.392 * [taylor]: Taking taylor expansion of M in K 1.392 * [backup-simplify]: Simplify M into M 1.392 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.393 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.393 * [taylor]: Taking taylor expansion of 1/2 in K 1.393 * [backup-simplify]: Simplify 1/2 into 1/2 1.393 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.393 * [taylor]: Taking taylor expansion of (* m K) in K 1.393 * [taylor]: Taking taylor expansion of m in K 1.393 * [backup-simplify]: Simplify m into m 1.393 * [taylor]: Taking taylor expansion of K in K 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (* m 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.393 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) 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 n)) in K 1.394 * [taylor]: Taking taylor expansion of (* K n) 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 * [taylor]: Taking taylor expansion of n in K 1.394 * [backup-simplify]: Simplify n into n 1.394 * [backup-simplify]: Simplify (* 0 n) into 0 1.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.394 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.394 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 1.395 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.395 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.395 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 1.395 * [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)))))) 1.395 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.395 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.395 * [taylor]: Taking taylor expansion of M in M 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.396 * [taylor]: Taking taylor expansion of 1/2 in M 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.396 * [taylor]: Taking taylor expansion of (* m K) in M 1.396 * [taylor]: Taking taylor expansion of m in M 1.396 * [backup-simplify]: Simplify m into m 1.396 * [taylor]: Taking taylor expansion of K in M 1.396 * [backup-simplify]: Simplify K into K 1.396 * [backup-simplify]: Simplify (* m K) into (* m K) 1.396 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.396 * [taylor]: Taking taylor expansion of 1/2 in M 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.396 * [taylor]: Taking taylor expansion of (* K n) in M 1.397 * [taylor]: Taking taylor expansion of K in M 1.397 * [backup-simplify]: Simplify K into K 1.397 * [taylor]: Taking taylor expansion of n in M 1.397 * [backup-simplify]: Simplify n into n 1.397 * [backup-simplify]: Simplify (* K n) into (* K n) 1.397 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.397 * [backup-simplify]: Simplify (+ 1 0) into 1 1.398 * [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)))))) 1.398 * [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)))))) 1.398 * [taylor]: Taking taylor expansion of 0 in n 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [taylor]: Taking taylor expansion of 0 in K 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [taylor]: Taking taylor expansion of 0 in M 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [taylor]: Taking taylor expansion of 0 in K 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [taylor]: Taking taylor expansion of 0 in M 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [taylor]: Taking taylor expansion of 0 in M 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [taylor]: Taking taylor expansion of 0 in n 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [taylor]: Taking taylor expansion of 0 in K 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [taylor]: Taking taylor expansion of 0 in M 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [taylor]: Taking taylor expansion of 0 in K 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [taylor]: Taking taylor expansion of 0 in M 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [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)) 1.400 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 1.400 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 1.400 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 1.400 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 1.400 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 1.400 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 1.400 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 1.400 * [taylor]: Taking taylor expansion of 1/2 in M 1.400 * [backup-simplify]: Simplify 1/2 into 1/2 1.400 * [taylor]: Taking taylor expansion of m in M 1.400 * [backup-simplify]: Simplify m into m 1.400 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 1.400 * [taylor]: Taking taylor expansion of 1/2 in M 1.400 * [backup-simplify]: Simplify 1/2 into 1/2 1.400 * [taylor]: Taking taylor expansion of n in M 1.400 * [backup-simplify]: Simplify n into n 1.400 * [taylor]: Taking taylor expansion of M in M 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.401 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.401 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 1.402 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 1.402 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 1.402 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 1.402 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 1.402 * [taylor]: Taking taylor expansion of 1/2 in n 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of m in n 1.402 * [backup-simplify]: Simplify m into m 1.402 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.402 * [taylor]: Taking taylor expansion of 1/2 in n 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of n in n 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [taylor]: Taking taylor expansion of M in n 1.402 * [backup-simplify]: Simplify M into M 1.402 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 1.403 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 1.403 * [backup-simplify]: Simplify (- M) into (- M) 1.403 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 1.404 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.404 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.404 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.404 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.404 * [taylor]: Taking taylor expansion of 1/2 in m 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of m in m 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.404 * [taylor]: Taking taylor expansion of 1/2 in m 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of n in m 1.404 * [backup-simplify]: Simplify n into n 1.404 * [taylor]: Taking taylor expansion of M in m 1.404 * [backup-simplify]: Simplify M into M 1.405 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.405 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.405 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.405 * [backup-simplify]: Simplify (- M) into (- M) 1.405 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.405 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 1.405 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 1.405 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 1.405 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 1.405 * [taylor]: Taking taylor expansion of 1/2 in m 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of m in m 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 1.405 * [taylor]: Taking taylor expansion of 1/2 in m 1.405 * [backup-simplify]: Simplify 1/2 into 1/2 1.405 * [taylor]: Taking taylor expansion of n in m 1.405 * [backup-simplify]: Simplify n into n 1.405 * [taylor]: Taking taylor expansion of M in m 1.405 * [backup-simplify]: Simplify M into M 1.406 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.406 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 1.406 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 1.406 * [backup-simplify]: Simplify (- M) into (- M) 1.407 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 1.407 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 1.407 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 1.407 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.407 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.407 * [taylor]: Taking taylor expansion of 1/2 in n 1.407 * [backup-simplify]: Simplify 1/2 into 1/2 1.407 * [taylor]: Taking taylor expansion of n in n 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of M in n 1.407 * [backup-simplify]: Simplify M into M 1.408 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.408 * [backup-simplify]: Simplify (- M) into (- M) 1.408 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.408 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 1.408 * [taylor]: Taking taylor expansion of (pow M 2) 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 1.409 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 1.410 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.411 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.411 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 1.412 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 1.412 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 1.412 * [taylor]: Taking taylor expansion of 1/2 in n 1.412 * [backup-simplify]: Simplify 1/2 into 1/2 1.412 * [taylor]: Taking taylor expansion of n in n 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [taylor]: Taking taylor expansion of M in n 1.412 * [backup-simplify]: Simplify M into M 1.412 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.412 * [backup-simplify]: Simplify (- M) into (- M) 1.412 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.412 * [taylor]: Taking taylor expansion of (- M) in M 1.413 * [taylor]: Taking taylor expansion of M in M 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.415 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 1.415 * [taylor]: Taking taylor expansion of (- M) in M 1.415 * [taylor]: Taking taylor expansion of M in M 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 1.420 * [taylor]: Taking taylor expansion of 1/4 in n 1.420 * [backup-simplify]: Simplify 1/4 into 1/4 1.420 * [taylor]: Taking taylor expansion of 1/4 in M 1.420 * [backup-simplify]: Simplify 1/4 into 1/4 1.420 * [backup-simplify]: Simplify 1/4 into 1/4 1.421 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.421 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.422 * [taylor]: Taking taylor expansion of 1/2 in M 1.422 * [backup-simplify]: Simplify 1/2 into 1/2 1.422 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 1.426 * [taylor]: Taking taylor expansion of 1/4 in M 1.426 * [backup-simplify]: Simplify 1/4 into 1/4 1.426 * [backup-simplify]: Simplify 1/4 into 1/4 1.426 * [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)))) 1.427 * [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) 1.427 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 1.427 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 1.427 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 1.427 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.427 * [taylor]: Taking taylor expansion of 1/2 in M 1.427 * [backup-simplify]: Simplify 1/2 into 1/2 1.427 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.427 * [taylor]: Taking taylor expansion of m in M 1.427 * [backup-simplify]: Simplify m into m 1.428 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.428 * [taylor]: Taking taylor expansion of 1/2 in M 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.428 * [taylor]: Taking taylor expansion of n in M 1.428 * [backup-simplify]: Simplify n into n 1.428 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.428 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.428 * [taylor]: Taking taylor expansion of M in M 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (- 1) into -1 1.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.430 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 1.430 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 1.430 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.430 * [taylor]: Taking taylor expansion of 1/2 in n 1.430 * [backup-simplify]: Simplify 1/2 into 1/2 1.430 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.430 * [taylor]: Taking taylor expansion of m in n 1.430 * [backup-simplify]: Simplify m into m 1.430 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.430 * [taylor]: Taking taylor expansion of 1/2 in n 1.430 * [backup-simplify]: Simplify 1/2 into 1/2 1.430 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.430 * [taylor]: Taking taylor expansion of n in n 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 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.431 * [taylor]: Taking taylor expansion of M in n 1.431 * [backup-simplify]: Simplify M into M 1.431 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.431 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.432 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.432 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.432 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 m) in m 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 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 1 n) in m 1.433 * [taylor]: Taking taylor expansion of n in m 1.433 * [backup-simplify]: Simplify n into n 1.433 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.433 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.433 * [taylor]: Taking taylor expansion of M in m 1.433 * [backup-simplify]: Simplify M into M 1.433 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.434 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.434 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.435 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.435 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 1.435 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 1.435 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.435 * [taylor]: Taking taylor expansion of 1/2 in m 1.435 * [backup-simplify]: Simplify 1/2 into 1/2 1.435 * [taylor]: Taking taylor expansion of (/ 1 m) 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 1.435 * [backup-simplify]: Simplify (/ 1 1) into 1 1.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.435 * [taylor]: Taking taylor expansion of 1/2 in m 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.436 * [taylor]: Taking taylor expansion of n in m 1.436 * [backup-simplify]: Simplify n into n 1.436 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.436 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.436 * [taylor]: Taking taylor expansion of M in m 1.436 * [backup-simplify]: Simplify M into M 1.436 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.437 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.437 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.438 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 1.438 * [taylor]: Taking taylor expansion of 1/4 in n 1.438 * [backup-simplify]: Simplify 1/4 into 1/4 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.440 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.440 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.440 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.440 * [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)) 1.440 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.440 * [taylor]: Taking taylor expansion of 1/2 in n 1.440 * [backup-simplify]: Simplify 1/2 into 1/2 1.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (/ 1 1) into 1 1.441 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.441 * [taylor]: Taking taylor expansion of M in n 1.441 * [backup-simplify]: Simplify M into M 1.441 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.445 * [backup-simplify]: Simplify (- 0) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [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))) 1.447 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.447 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.447 * [taylor]: Taking taylor expansion of M in n 1.447 * [backup-simplify]: Simplify M into M 1.447 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.447 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.447 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.447 * [taylor]: Taking taylor expansion of 1/4 in n 1.447 * [backup-simplify]: Simplify 1/4 into 1/4 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.447 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.447 * [taylor]: Taking taylor expansion of n in n 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.448 * [taylor]: Taking taylor expansion of (* M n) in n 1.448 * [taylor]: Taking taylor expansion of M in n 1.448 * [backup-simplify]: Simplify M into M 1.448 * [taylor]: Taking taylor expansion of n in n 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* M 0) into 0 1.449 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.449 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.449 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.450 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.450 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.450 * [taylor]: Taking taylor expansion of 1/4 in M 1.450 * [backup-simplify]: Simplify 1/4 into 1/4 1.451 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.451 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.451 * [taylor]: Taking taylor expansion of 1/2 in M 1.451 * [backup-simplify]: Simplify 1/2 into 1/2 1.451 * [taylor]: Taking taylor expansion of 1/4 in M 1.451 * [backup-simplify]: Simplify 1/4 into 1/4 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [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 1.458 * [taylor]: Taking taylor expansion of 0 in n 1.458 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.461 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.461 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.461 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.461 * [taylor]: Taking taylor expansion of M in M 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (/ 1 1) into 1 1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.463 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.463 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.463 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.463 * [taylor]: Taking taylor expansion of M in M 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (/ 1 1) into 1 1.464 * [taylor]: Taking taylor expansion of 0 in M 1.464 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.472 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [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 1.474 * [taylor]: Taking taylor expansion of 0 in n 1.474 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.476 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.477 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.477 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.477 * [taylor]: Taking taylor expansion of M in M 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in M 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [taylor]: Taking taylor expansion of 0 in M 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (- 1) into -1 1.480 * [backup-simplify]: Simplify -1 into -1 1.480 * [backup-simplify]: Simplify (- 1) into -1 1.480 * [backup-simplify]: Simplify -1 into -1 1.481 * [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))) 1.481 * [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) 1.481 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 1.481 * [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 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.482 * [taylor]: Taking taylor expansion of 1/2 in M 1.482 * [backup-simplify]: Simplify 1/2 into 1/2 1.482 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.482 * [taylor]: Taking taylor expansion of m in M 1.482 * [backup-simplify]: Simplify m into m 1.482 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.482 * [taylor]: Taking taylor expansion of 1/2 in M 1.482 * [backup-simplify]: Simplify 1/2 into 1/2 1.482 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.482 * [taylor]: Taking taylor expansion of n in M 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.482 * [backup-simplify]: Simplify (+ 1 0) into 1 1.482 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 1.482 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.482 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.482 * [taylor]: Taking taylor expansion of M in n 1.482 * [backup-simplify]: Simplify M into M 1.482 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.482 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.482 * [taylor]: Taking taylor expansion of 1/2 in n 1.482 * [backup-simplify]: Simplify 1/2 into 1/2 1.482 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.482 * [taylor]: Taking taylor expansion of m in n 1.482 * [backup-simplify]: Simplify m into m 1.482 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.483 * [taylor]: Taking taylor expansion of 1/2 in n 1.483 * [backup-simplify]: Simplify 1/2 into 1/2 1.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.483 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.484 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.484 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.484 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.484 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.484 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.484 * [taylor]: Taking taylor expansion of M in m 1.484 * [backup-simplify]: Simplify M into M 1.484 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.484 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.484 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.484 * [taylor]: Taking taylor expansion of 1/2 in m 1.484 * [backup-simplify]: Simplify 1/2 into 1/2 1.484 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.484 * [taylor]: Taking taylor expansion of m in m 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 (* 1/2 (/ 1 n)) in m 1.484 * [taylor]: Taking taylor expansion of 1/2 in m 1.484 * [backup-simplify]: Simplify 1/2 into 1/2 1.485 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.485 * [taylor]: Taking taylor expansion of n in m 1.485 * [backup-simplify]: Simplify n into n 1.485 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.485 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.485 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.485 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.486 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.486 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 1.486 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.486 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.486 * [taylor]: Taking taylor expansion of M in m 1.486 * [backup-simplify]: Simplify M into M 1.486 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.486 * [taylor]: Taking taylor expansion of 1/2 in m 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.486 * [taylor]: Taking taylor expansion of m in m 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.486 * [taylor]: Taking taylor expansion of 1/2 in m 1.486 * [backup-simplify]: Simplify 1/2 into 1/2 1.486 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.486 * [taylor]: Taking taylor expansion of n in m 1.486 * [backup-simplify]: Simplify n into n 1.486 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.487 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.487 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.487 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.488 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.488 * [taylor]: Taking taylor expansion of 1/4 in n 1.488 * [backup-simplify]: Simplify 1/4 into 1/4 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.489 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.489 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.489 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.489 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.489 * [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)) 1.489 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.489 * [taylor]: Taking taylor expansion of 1/2 in n 1.489 * [backup-simplify]: Simplify 1/2 into 1/2 1.489 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.489 * [taylor]: Taking taylor expansion of M in n 1.489 * [backup-simplify]: Simplify M into M 1.490 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.491 * [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))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.493 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.493 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.493 * [taylor]: Taking taylor expansion of M in n 1.493 * [backup-simplify]: Simplify M into M 1.493 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.493 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.493 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.493 * [taylor]: Taking taylor expansion of 1/4 in n 1.493 * [backup-simplify]: Simplify 1/4 into 1/4 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.493 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.493 * [taylor]: Taking taylor expansion of (* M n) in n 1.493 * [taylor]: Taking taylor expansion of M in n 1.494 * [backup-simplify]: Simplify M into M 1.494 * [taylor]: Taking taylor expansion of n in n 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (* M 0) into 0 1.494 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.494 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.494 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.494 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.495 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.495 * [taylor]: Taking taylor expansion of 1/4 in M 1.495 * [backup-simplify]: Simplify 1/4 into 1/4 1.495 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.495 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.495 * [taylor]: Taking taylor expansion of 1/2 in M 1.495 * [backup-simplify]: Simplify 1/2 into 1/2 1.495 * [taylor]: Taking taylor expansion of 1/4 in M 1.495 * [backup-simplify]: Simplify 1/4 into 1/4 1.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [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 1.499 * [taylor]: Taking taylor expansion of 0 in n 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.500 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.500 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.500 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.500 * [taylor]: Taking taylor expansion of M in M 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (/ 1 1) into 1 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.502 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.502 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.502 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.502 * [taylor]: Taking taylor expansion of M in M 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (/ 1 1) into 1 1.502 * [taylor]: Taking taylor expansion of 0 in M 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [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 1.507 * [taylor]: Taking taylor expansion of 0 in n 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.510 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.511 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.512 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.512 * [taylor]: Taking taylor expansion of M in M 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in M 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in M 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (- 1) into -1 1.516 * [backup-simplify]: Simplify -1 into -1 1.517 * [backup-simplify]: Simplify (- 1) into -1 1.517 * [backup-simplify]: Simplify -1 into -1 1.518 * [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))) 1.518 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.518 * [backup-simplify]: Simplify (- (/ (* (+ m n) K) 2) M) into (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) 1.518 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in (m n K M) around 0 1.518 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 1.518 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 1.518 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 1.518 * [taylor]: Taking taylor expansion of 1/2 in M 1.518 * [backup-simplify]: Simplify 1/2 into 1/2 1.518 * [taylor]: Taking taylor expansion of (* K n) in M 1.518 * [taylor]: Taking taylor expansion of K in M 1.518 * [backup-simplify]: Simplify K into K 1.518 * [taylor]: Taking taylor expansion of n in M 1.518 * [backup-simplify]: Simplify n into n 1.518 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 1.518 * [taylor]: Taking taylor expansion of 1/2 in M 1.518 * [backup-simplify]: Simplify 1/2 into 1/2 1.518 * [taylor]: Taking taylor expansion of (* K m) in M 1.518 * [taylor]: Taking taylor expansion of K in M 1.518 * [backup-simplify]: Simplify K into K 1.518 * [taylor]: Taking taylor expansion of m in M 1.518 * [backup-simplify]: Simplify m into m 1.518 * [taylor]: Taking taylor expansion of M in M 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 1.519 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 1.519 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 1.519 * [taylor]: Taking taylor expansion of 1/2 in K 1.519 * [backup-simplify]: Simplify 1/2 into 1/2 1.519 * [taylor]: Taking taylor expansion of (* K n) in K 1.519 * [taylor]: Taking taylor expansion of K in K 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [taylor]: Taking taylor expansion of n in K 1.519 * [backup-simplify]: Simplify n into n 1.519 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 1.519 * [taylor]: Taking taylor expansion of 1/2 in K 1.519 * [backup-simplify]: Simplify 1/2 into 1/2 1.519 * [taylor]: Taking taylor expansion of (* K m) in K 1.519 * [taylor]: Taking taylor expansion of K in K 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [taylor]: Taking taylor expansion of m in K 1.519 * [backup-simplify]: Simplify m into m 1.519 * [taylor]: Taking taylor expansion of M in K 1.519 * [backup-simplify]: Simplify M into M 1.519 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 1.519 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 1.519 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.519 * [taylor]: Taking taylor expansion of 1/2 in n 1.519 * [backup-simplify]: Simplify 1/2 into 1/2 1.519 * [taylor]: Taking taylor expansion of (* K n) in n 1.519 * [taylor]: Taking taylor expansion of K in n 1.519 * [backup-simplify]: Simplify K into K 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 1.519 * [taylor]: Taking taylor expansion of 1/2 in n 1.519 * [backup-simplify]: Simplify 1/2 into 1/2 1.519 * [taylor]: Taking taylor expansion of (* K m) in n 1.519 * [taylor]: Taking taylor expansion of K in n 1.520 * [backup-simplify]: Simplify K into K 1.520 * [taylor]: Taking taylor expansion of m in n 1.520 * [backup-simplify]: Simplify m into m 1.520 * [taylor]: Taking taylor expansion of M in n 1.520 * [backup-simplify]: Simplify M into M 1.520 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.520 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.520 * [taylor]: Taking taylor expansion of 1/2 in m 1.520 * [backup-simplify]: Simplify 1/2 into 1/2 1.520 * [taylor]: Taking taylor expansion of (* K n) in m 1.520 * [taylor]: Taking taylor expansion of K in m 1.520 * [backup-simplify]: Simplify K into K 1.520 * [taylor]: Taking taylor expansion of n in m 1.520 * [backup-simplify]: Simplify n into n 1.520 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.520 * [taylor]: Taking taylor expansion of 1/2 in m 1.520 * [backup-simplify]: Simplify 1/2 into 1/2 1.520 * [taylor]: Taking taylor expansion of (* K m) in m 1.520 * [taylor]: Taking taylor expansion of K in m 1.520 * [backup-simplify]: Simplify K into K 1.520 * [taylor]: Taking taylor expansion of m in m 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [taylor]: Taking taylor expansion of M in m 1.520 * [backup-simplify]: Simplify M into M 1.520 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 1.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 1.520 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 1.520 * [taylor]: Taking taylor expansion of 1/2 in m 1.520 * [backup-simplify]: Simplify 1/2 into 1/2 1.520 * [taylor]: Taking taylor expansion of (* K n) in m 1.520 * [taylor]: Taking taylor expansion of K in m 1.520 * [backup-simplify]: Simplify K into K 1.520 * [taylor]: Taking taylor expansion of n in m 1.521 * [backup-simplify]: Simplify n into n 1.521 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 1.521 * [taylor]: Taking taylor expansion of 1/2 in m 1.521 * [backup-simplify]: Simplify 1/2 into 1/2 1.521 * [taylor]: Taking taylor expansion of (* K m) in m 1.521 * [taylor]: Taking taylor expansion of K in m 1.521 * [backup-simplify]: Simplify K into K 1.521 * [taylor]: Taking taylor expansion of m in m 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of M in m 1.521 * [backup-simplify]: Simplify M into M 1.521 * [backup-simplify]: Simplify (* K n) into (* K n) 1.521 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 1.521 * [backup-simplify]: Simplify (* K 0) into 0 1.522 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 1.522 * [backup-simplify]: Simplify (- M) into (- M) 1.522 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 1.522 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 1.522 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 1.522 * [taylor]: Taking taylor expansion of 1/2 in n 1.522 * [backup-simplify]: Simplify 1/2 into 1/2 1.522 * [taylor]: Taking taylor expansion of (* K n) in n 1.523 * [taylor]: Taking taylor expansion of K in n 1.523 * [backup-simplify]: Simplify K into K 1.523 * [taylor]: Taking taylor expansion of n in n 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [taylor]: Taking taylor expansion of M in n 1.523 * [backup-simplify]: Simplify M into M 1.523 * [backup-simplify]: Simplify (* K 0) into 0 1.523 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.523 * [backup-simplify]: Simplify (- M) into (- M) 1.523 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 1.523 * [taylor]: Taking taylor expansion of (- M) in K 1.523 * [taylor]: Taking taylor expansion of M in K 1.523 * [backup-simplify]: Simplify M into M 1.523 * [backup-simplify]: Simplify (- M) into (- M) 1.524 * [taylor]: Taking taylor expansion of (- M) in M 1.524 * [taylor]: Taking taylor expansion of M in M 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 1.525 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.526 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.526 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.526 * [taylor]: Taking taylor expansion of (* 1/2 K) in n 1.526 * [taylor]: Taking taylor expansion of 1/2 in n 1.526 * [backup-simplify]: Simplify 1/2 into 1/2 1.526 * [taylor]: Taking taylor expansion of K in n 1.526 * [backup-simplify]: Simplify K into K 1.526 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K) 1.526 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.526 * [taylor]: Taking taylor expansion of 1/2 in K 1.527 * [backup-simplify]: Simplify 1/2 into 1/2 1.527 * [taylor]: Taking taylor expansion of K in K 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in M 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.528 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 1.529 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 1.529 * [taylor]: Taking taylor expansion of 1/2 in K 1.529 * [backup-simplify]: Simplify 1/2 into 1/2 1.529 * [taylor]: Taking taylor expansion of K in K 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.529 * [taylor]: Taking taylor expansion of 0 in M 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (- 0) into 0 1.530 * [taylor]: Taking taylor expansion of 0 in M 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (- 1) into -1 1.530 * [backup-simplify]: Simplify -1 into -1 1.531 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 1.532 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [taylor]: Taking taylor expansion of 0 in n 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [taylor]: Taking taylor expansion of 0 in K 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [taylor]: Taking taylor expansion of 0 in M 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0 1.535 * [taylor]: Taking taylor expansion of 0 in K 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [taylor]: Taking taylor expansion of 0 in M 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 1.537 * [backup-simplify]: Simplify (- 0) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [taylor]: Taking taylor expansion of 0 in K 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [taylor]: Taking taylor expansion of 0 in M 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.539 * [taylor]: Taking taylor expansion of 1/2 in M 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.540 * [taylor]: Taking taylor expansion of 1/2 in M 1.540 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [backup-simplify]: Simplify 1/2 into 1/2 1.540 * [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) 1.541 * [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)) 1.541 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in (m n K M) around 0 1.541 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 1.541 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.541 * [taylor]: Taking taylor expansion of 1/2 in M 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.541 * [taylor]: Taking taylor expansion of (* m K) in M 1.541 * [taylor]: Taking taylor expansion of m in M 1.541 * [backup-simplify]: Simplify m into m 1.541 * [taylor]: Taking taylor expansion of K in M 1.541 * [backup-simplify]: Simplify K into K 1.541 * [backup-simplify]: Simplify (* m K) into (* m K) 1.541 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.541 * [taylor]: Taking taylor expansion of 1/2 in M 1.541 * [backup-simplify]: Simplify 1/2 into 1/2 1.541 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.542 * [taylor]: Taking taylor expansion of (* K n) in M 1.542 * [taylor]: Taking taylor expansion of K in M 1.542 * [backup-simplify]: Simplify K into K 1.542 * [taylor]: Taking taylor expansion of n in M 1.542 * [backup-simplify]: Simplify n into n 1.542 * [backup-simplify]: Simplify (* K n) into (* K n) 1.542 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.542 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.542 * [taylor]: Taking taylor expansion of M in M 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 1.542 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.542 * [taylor]: Taking taylor expansion of 1/2 in K 1.542 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.543 * [taylor]: Taking taylor expansion of (* m K) in K 1.543 * [taylor]: Taking taylor expansion of m in K 1.543 * [backup-simplify]: Simplify m into m 1.543 * [taylor]: Taking taylor expansion of K in K 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (* m 0) into 0 1.543 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.543 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.543 * [taylor]: Taking taylor expansion of 1/2 in K 1.543 * [backup-simplify]: Simplify 1/2 into 1/2 1.543 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.543 * [taylor]: Taking taylor expansion of (* K n) in K 1.543 * [taylor]: Taking taylor expansion of K in K 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [taylor]: Taking taylor expansion of n in K 1.544 * [backup-simplify]: Simplify n into n 1.544 * [backup-simplify]: Simplify (* 0 n) into 0 1.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.544 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.544 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.544 * [taylor]: Taking taylor expansion of M in K 1.544 * [backup-simplify]: Simplify M into M 1.544 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.544 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 1.544 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.544 * [taylor]: Taking taylor expansion of 1/2 in n 1.544 * [backup-simplify]: Simplify 1/2 into 1/2 1.544 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.545 * [taylor]: Taking taylor expansion of (* m K) in n 1.545 * [taylor]: Taking taylor expansion of m in n 1.545 * [backup-simplify]: Simplify m into m 1.545 * [taylor]: Taking taylor expansion of K in n 1.545 * [backup-simplify]: Simplify K into K 1.545 * [backup-simplify]: Simplify (* m K) into (* m K) 1.545 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.545 * [taylor]: Taking taylor expansion of 1/2 in n 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.545 * [taylor]: Taking taylor expansion of (* K n) in n 1.545 * [taylor]: Taking taylor expansion of K in n 1.545 * [backup-simplify]: Simplify K into K 1.545 * [taylor]: Taking taylor expansion of n in n 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* K 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.546 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.546 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.546 * [taylor]: Taking taylor expansion of M in n 1.546 * [backup-simplify]: Simplify M into M 1.546 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.546 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.546 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.546 * [taylor]: Taking taylor expansion of 1/2 in m 1.546 * [backup-simplify]: Simplify 1/2 into 1/2 1.546 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.546 * [taylor]: Taking taylor expansion of (* m K) in m 1.546 * [taylor]: Taking taylor expansion of m in m 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [taylor]: Taking taylor expansion of K in m 1.546 * [backup-simplify]: Simplify K into K 1.546 * [backup-simplify]: Simplify (* 0 K) into 0 1.547 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.547 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.547 * [taylor]: Taking taylor expansion of 1/2 in m 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.547 * [taylor]: Taking taylor expansion of (* K n) in m 1.547 * [taylor]: Taking taylor expansion of K in m 1.547 * [backup-simplify]: Simplify K into K 1.547 * [taylor]: Taking taylor expansion of n in m 1.547 * [backup-simplify]: Simplify n into n 1.547 * [backup-simplify]: Simplify (* K n) into (* K n) 1.547 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.547 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.547 * [taylor]: Taking taylor expansion of M in m 1.547 * [backup-simplify]: Simplify M into M 1.547 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.547 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 1.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.547 * [taylor]: Taking taylor expansion of 1/2 in m 1.547 * [backup-simplify]: Simplify 1/2 into 1/2 1.547 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.547 * [taylor]: Taking taylor expansion of (* m K) in m 1.547 * [taylor]: Taking taylor expansion of m in m 1.547 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of K in m 1.548 * [backup-simplify]: Simplify K into K 1.548 * [backup-simplify]: Simplify (* 0 K) into 0 1.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.548 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.548 * [taylor]: Taking taylor expansion of 1/2 in m 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.548 * [taylor]: Taking taylor expansion of (* K n) in m 1.548 * [taylor]: Taking taylor expansion of K in m 1.548 * [backup-simplify]: Simplify K into K 1.548 * [taylor]: Taking taylor expansion of n in m 1.548 * [backup-simplify]: Simplify n into n 1.548 * [backup-simplify]: Simplify (* K n) into (* K n) 1.548 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.549 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.549 * [taylor]: Taking taylor expansion of M in m 1.549 * [backup-simplify]: Simplify M into M 1.549 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.549 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.549 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.549 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 1.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.549 * [taylor]: Taking taylor expansion of 1/2 in n 1.549 * [backup-simplify]: Simplify 1/2 into 1/2 1.549 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.549 * [taylor]: Taking taylor expansion of K in n 1.549 * [backup-simplify]: Simplify K into K 1.549 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.551 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.551 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.551 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.551 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (* K n))) (- (/ 1 M))) into (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) 1.551 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 1.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.551 * [taylor]: Taking taylor expansion of 1/2 in n 1.551 * [backup-simplify]: Simplify 1/2 into 1/2 1.551 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.551 * [taylor]: Taking taylor expansion of (* K n) in n 1.551 * [taylor]: Taking taylor expansion of K in n 1.551 * [backup-simplify]: Simplify K into K 1.551 * [taylor]: Taking taylor expansion of n in n 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (* K 0) into 0 1.552 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.552 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.552 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.552 * [taylor]: Taking taylor expansion of M in n 1.552 * [backup-simplify]: Simplify M into M 1.552 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.553 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.553 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.553 * [taylor]: Taking taylor expansion of 1/2 in K 1.553 * [backup-simplify]: Simplify 1/2 into 1/2 1.553 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.553 * [taylor]: Taking taylor expansion of K in K 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.554 * [taylor]: Taking taylor expansion of 1/2 in M 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.554 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.554 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.554 * [taylor]: Taking taylor expansion of 1/2 in K 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.554 * [taylor]: Taking taylor expansion of K in K 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.554 * [taylor]: Taking taylor expansion of 1/2 in M 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.557 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.558 * [backup-simplify]: Simplify (- 0) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [taylor]: Taking taylor expansion of 0 in n 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.560 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.561 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.561 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in K 1.561 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.561 * [taylor]: Taking taylor expansion of M in K 1.561 * [backup-simplify]: Simplify M into M 1.561 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.561 * [taylor]: Taking taylor expansion of 0 in K 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.563 * [taylor]: Taking taylor expansion of 0 in M 1.563 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in M 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.568 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [taylor]: Taking taylor expansion of 0 in n 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [taylor]: Taking taylor expansion of 0 in K 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [taylor]: Taking taylor expansion of 0 in K 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.575 * [taylor]: Taking taylor expansion of 0 in K 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.575 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.575 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.575 * [taylor]: Taking taylor expansion of M in M 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [backup-simplify]: Simplify (- 1) into -1 1.576 * [backup-simplify]: Simplify -1 into -1 1.577 * [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) 1.577 * [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))))) 1.577 * [approximate]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in (m n K M) around 0 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 1.577 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.577 * [taylor]: Taking taylor expansion of M in M 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 1.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 1.578 * [taylor]: Taking taylor expansion of 1/2 in M 1.578 * [backup-simplify]: Simplify 1/2 into 1/2 1.578 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 1.578 * [taylor]: Taking taylor expansion of (* m K) in M 1.578 * [taylor]: Taking taylor expansion of m in M 1.578 * [backup-simplify]: Simplify m into m 1.578 * [taylor]: Taking taylor expansion of K in M 1.578 * [backup-simplify]: Simplify K into K 1.578 * [backup-simplify]: Simplify (* m K) into (* m K) 1.578 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 1.578 * [taylor]: Taking taylor expansion of 1/2 in M 1.578 * [backup-simplify]: Simplify 1/2 into 1/2 1.578 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 1.578 * [taylor]: Taking taylor expansion of (* K n) in M 1.578 * [taylor]: Taking taylor expansion of K in M 1.578 * [backup-simplify]: Simplify K into K 1.579 * [taylor]: Taking taylor expansion of n in M 1.579 * [backup-simplify]: Simplify n into n 1.579 * [backup-simplify]: Simplify (* K n) into (* K n) 1.579 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.579 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 1.579 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.579 * [taylor]: Taking taylor expansion of M in K 1.579 * [backup-simplify]: Simplify M into M 1.579 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.579 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 1.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 1.579 * [taylor]: Taking taylor expansion of 1/2 in K 1.579 * [backup-simplify]: Simplify 1/2 into 1/2 1.579 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 1.579 * [taylor]: Taking taylor expansion of (* m K) in K 1.579 * [taylor]: Taking taylor expansion of m in K 1.579 * [backup-simplify]: Simplify m into m 1.579 * [taylor]: Taking taylor expansion of K in K 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* m 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 1.580 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 1.580 * [taylor]: Taking taylor expansion of 1/2 in K 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 1.580 * [taylor]: Taking taylor expansion of (* K n) in K 1.580 * [taylor]: Taking taylor expansion of K in K 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [taylor]: Taking taylor expansion of n in K 1.580 * [backup-simplify]: Simplify n into n 1.580 * [backup-simplify]: Simplify (* 0 n) into 0 1.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 1.581 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 1.581 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.581 * [taylor]: Taking taylor expansion of M in n 1.581 * [backup-simplify]: Simplify M into M 1.581 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.581 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 1.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 1.581 * [taylor]: Taking taylor expansion of 1/2 in n 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 1.581 * [taylor]: Taking taylor expansion of (* m K) in n 1.581 * [taylor]: Taking taylor expansion of m in n 1.581 * [backup-simplify]: Simplify m into m 1.581 * [taylor]: Taking taylor expansion of K in n 1.581 * [backup-simplify]: Simplify K into K 1.581 * [backup-simplify]: Simplify (* m K) into (* m K) 1.581 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 1.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.581 * [taylor]: Taking taylor expansion of 1/2 in n 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.581 * [taylor]: Taking taylor expansion of (* K n) in n 1.581 * [taylor]: Taking taylor expansion of K in n 1.581 * [backup-simplify]: Simplify K into K 1.581 * [taylor]: Taking taylor expansion of n in n 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (* K 0) into 0 1.582 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.582 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.582 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.582 * [taylor]: Taking taylor expansion of M in m 1.582 * [backup-simplify]: Simplify M into M 1.582 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.582 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.582 * [taylor]: Taking taylor expansion of 1/2 in m 1.582 * [backup-simplify]: Simplify 1/2 into 1/2 1.582 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.582 * [taylor]: Taking taylor expansion of (* m K) in m 1.582 * [taylor]: Taking taylor expansion of m in m 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of K in m 1.582 * [backup-simplify]: Simplify K into K 1.582 * [backup-simplify]: Simplify (* 0 K) into 0 1.583 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.583 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.583 * [taylor]: Taking taylor expansion of 1/2 in m 1.583 * [backup-simplify]: Simplify 1/2 into 1/2 1.583 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.583 * [taylor]: Taking taylor expansion of (* K n) in m 1.583 * [taylor]: Taking taylor expansion of K in m 1.583 * [backup-simplify]: Simplify K into K 1.583 * [taylor]: Taking taylor expansion of n in m 1.583 * [backup-simplify]: Simplify n into n 1.583 * [backup-simplify]: Simplify (* K n) into (* K n) 1.583 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 1.583 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.583 * [taylor]: Taking taylor expansion of M in m 1.583 * [backup-simplify]: Simplify M into M 1.583 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.583 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 1.583 * [taylor]: Taking taylor expansion of 1/2 in m 1.583 * [backup-simplify]: Simplify 1/2 into 1/2 1.583 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 1.584 * [taylor]: Taking taylor expansion of (* m K) in m 1.584 * [taylor]: Taking taylor expansion of m in m 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [taylor]: Taking taylor expansion of K in m 1.584 * [backup-simplify]: Simplify K into K 1.584 * [backup-simplify]: Simplify (* 0 K) into 0 1.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 1.584 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 1.584 * [taylor]: Taking taylor expansion of 1/2 in m 1.584 * [backup-simplify]: Simplify 1/2 into 1/2 1.584 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 1.584 * [taylor]: Taking taylor expansion of (* K n) in m 1.584 * [taylor]: Taking taylor expansion of K in m 1.584 * [backup-simplify]: Simplify K into K 1.584 * [taylor]: Taking taylor expansion of n in m 1.584 * [backup-simplify]: Simplify n into n 1.584 * [backup-simplify]: Simplify (* K n) into (* K n) 1.585 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 1.585 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.585 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 1.585 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 1.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in n 1.585 * [taylor]: Taking taylor expansion of 1/2 in n 1.585 * [backup-simplify]: Simplify 1/2 into 1/2 1.585 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.585 * [taylor]: Taking taylor expansion of K in n 1.585 * [backup-simplify]: Simplify K into K 1.585 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.587 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* K n))) into (/ 1/2 (* K n)) 1.587 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (* K n))) into (* 1/2 (/ 1 (* K n))) 1.587 * [backup-simplify]: Simplify (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) into (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 1.587 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.587 * [taylor]: Taking taylor expansion of M in n 1.587 * [backup-simplify]: Simplify M into M 1.587 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 1.587 * [taylor]: Taking taylor expansion of 1/2 in n 1.587 * [backup-simplify]: Simplify 1/2 into 1/2 1.587 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.587 * [taylor]: Taking taylor expansion of (* K n) in n 1.587 * [taylor]: Taking taylor expansion of K in n 1.587 * [backup-simplify]: Simplify K into K 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.588 * [backup-simplify]: Simplify (* K 0) into 0 1.588 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.588 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.589 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 1.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 K)) in K 1.589 * [taylor]: Taking taylor expansion of 1/2 in K 1.589 * [backup-simplify]: Simplify 1/2 into 1/2 1.589 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.589 * [taylor]: Taking taylor expansion of K in K 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.590 * [taylor]: Taking taylor expansion of 1/2 in M 1.590 * [backup-simplify]: Simplify 1/2 into 1/2 1.590 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 1.590 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K 1.590 * [taylor]: Taking taylor expansion of 1/2 in K 1.590 * [backup-simplify]: Simplify 1/2 into 1/2 1.590 * [taylor]: Taking taylor expansion of K in K 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.591 * [taylor]: Taking taylor expansion of 1/2 in M 1.591 * [backup-simplify]: Simplify 1/2 into 1/2 1.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.594 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 1.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* K n)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [taylor]: Taking taylor expansion of 0 in n 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.597 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.597 * [taylor]: Taking taylor expansion of (/ 1 M) in K 1.597 * [taylor]: Taking taylor expansion of M in K 1.597 * [backup-simplify]: Simplify M into M 1.597 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 K))) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in K 1.597 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.599 * [taylor]: Taking taylor expansion of 0 in M 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.600 * [taylor]: Taking taylor expansion of 0 in M 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [backup-simplify]: Simplify 1/2 into 1/2 1.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 1.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 1.603 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* K n)) (/ 0 (* K n))) (* 0 (/ 0 (* K n))))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* K n))))) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [taylor]: Taking taylor expansion of 0 in n 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [taylor]: Taking taylor expansion of 0 in K 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.609 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in K 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 K)))) into 0 1.612 * [taylor]: Taking taylor expansion of 0 in K 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.612 * [taylor]: Taking taylor expansion of M in M 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (/ 1 1) into 1 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [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) 1.613 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.613 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 1.613 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 1.613 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 1.613 * [taylor]: Taking taylor expansion of K in K 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ m n) in K 1.614 * [taylor]: Taking taylor expansion of m in K 1.614 * [backup-simplify]: Simplify m into m 1.614 * [taylor]: Taking taylor expansion of n in K 1.614 * [backup-simplify]: Simplify n into n 1.614 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 1.614 * [taylor]: Taking taylor expansion of K in n 1.614 * [backup-simplify]: Simplify K into K 1.614 * [taylor]: Taking taylor expansion of (+ m n) in n 1.614 * [taylor]: Taking taylor expansion of m in n 1.614 * [backup-simplify]: Simplify m into m 1.614 * [taylor]: Taking taylor expansion of n in n 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.614 * [taylor]: Taking taylor expansion of K in m 1.614 * [backup-simplify]: Simplify K into K 1.614 * [taylor]: Taking taylor expansion of (+ m n) in m 1.614 * [taylor]: Taking taylor expansion of m in m 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of n in m 1.614 * [backup-simplify]: Simplify n into n 1.614 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 1.614 * [taylor]: Taking taylor expansion of K in m 1.614 * [backup-simplify]: Simplify K into K 1.614 * [taylor]: Taking taylor expansion of (+ m n) in m 1.614 * [taylor]: Taking taylor expansion of m in m 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of n in m 1.614 * [backup-simplify]: Simplify n into n 1.614 * [backup-simplify]: Simplify (+ 0 n) into n 1.614 * [backup-simplify]: Simplify (* K n) into (* K n) 1.614 * [taylor]: Taking taylor expansion of (* K n) in n 1.614 * [taylor]: Taking taylor expansion of K in n 1.614 * [backup-simplify]: Simplify K into K 1.615 * [taylor]: Taking taylor expansion of n in n 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* K 0) into 0 1.615 * [taylor]: Taking taylor expansion of 0 in K 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (+ 1 0) into 1 1.615 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 1.615 * [taylor]: Taking taylor expansion of K in n 1.615 * [backup-simplify]: Simplify K into K 1.615 * [taylor]: Taking taylor expansion of K in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.616 * [taylor]: Taking taylor expansion of K in K 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 1.617 * [taylor]: Taking taylor expansion of 0 in n 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [taylor]: Taking taylor expansion of 0 in K 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [taylor]: Taking taylor expansion of 0 in K 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.617 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.617 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.617 * [taylor]: Taking taylor expansion of m in K 1.617 * [backup-simplify]: Simplify m into m 1.617 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.617 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.617 * [taylor]: Taking taylor expansion of n in K 1.617 * [backup-simplify]: Simplify n into n 1.617 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.617 * [taylor]: Taking taylor expansion of K in K 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.617 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.617 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.617 * [taylor]: Taking taylor expansion of m in n 1.617 * [backup-simplify]: Simplify m into m 1.617 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.617 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [taylor]: Taking taylor expansion of K in n 1.618 * [backup-simplify]: Simplify K into K 1.618 * [backup-simplify]: Simplify (+ 0 1) into 1 1.618 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.618 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.618 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.618 * [taylor]: Taking taylor expansion of m in m 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.618 * [taylor]: Taking taylor expansion of n in m 1.618 * [backup-simplify]: Simplify n into n 1.618 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.618 * [taylor]: Taking taylor expansion of K in m 1.618 * [backup-simplify]: Simplify K into K 1.619 * [backup-simplify]: Simplify (+ 1 0) into 1 1.619 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.619 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.619 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.619 * [taylor]: Taking taylor expansion of m in m 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.619 * [taylor]: Taking taylor expansion of n in m 1.619 * [backup-simplify]: Simplify n into n 1.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.619 * [taylor]: Taking taylor expansion of K in m 1.619 * [backup-simplify]: Simplify K into K 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.620 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.620 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.620 * [taylor]: Taking taylor expansion of K in n 1.620 * [backup-simplify]: Simplify K into K 1.620 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.620 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.620 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.620 * [taylor]: Taking taylor expansion of (* K n) in n 1.620 * [taylor]: Taking taylor expansion of K in n 1.621 * [backup-simplify]: Simplify K into K 1.621 * [taylor]: Taking taylor expansion of n in n 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* K 0) into 0 1.621 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.621 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.621 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.621 * [taylor]: Taking taylor expansion of K in K 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.621 * [taylor]: Taking taylor expansion of K in K 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in n 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in K 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in K 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.625 * [taylor]: Taking taylor expansion of 0 in n 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [taylor]: Taking taylor expansion of 0 in K 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.626 * [taylor]: Taking taylor expansion of 0 in K 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.626 * [taylor]: Taking taylor expansion of 0 in K 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 1.628 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 1.628 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 1.628 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 1.628 * [taylor]: Taking taylor expansion of (/ 1 m) in K 1.628 * [taylor]: Taking taylor expansion of m in K 1.628 * [backup-simplify]: Simplify m into m 1.628 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.628 * [taylor]: Taking taylor expansion of (/ 1 n) in K 1.628 * [taylor]: Taking taylor expansion of n in K 1.628 * [backup-simplify]: Simplify n into n 1.628 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.628 * [taylor]: Taking taylor expansion of K in K 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 1.628 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 1.628 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 1.628 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.628 * [taylor]: Taking taylor expansion of m in n 1.628 * [backup-simplify]: Simplify m into m 1.628 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.628 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [taylor]: Taking taylor expansion of K in n 1.629 * [backup-simplify]: Simplify K into K 1.629 * [backup-simplify]: Simplify (+ 0 1) into 1 1.629 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.629 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.629 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.629 * [taylor]: Taking taylor expansion of m in m 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.629 * [taylor]: Taking taylor expansion of n in m 1.629 * [backup-simplify]: Simplify n into n 1.629 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.629 * [taylor]: Taking taylor expansion of K in m 1.629 * [backup-simplify]: Simplify K into K 1.630 * [backup-simplify]: Simplify (+ 1 0) into 1 1.630 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.630 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 1.630 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.630 * [taylor]: Taking taylor expansion of m in m 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.630 * [taylor]: Taking taylor expansion of n in m 1.630 * [backup-simplify]: Simplify n into n 1.630 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.630 * [taylor]: Taking taylor expansion of K in m 1.630 * [backup-simplify]: Simplify K into K 1.630 * [backup-simplify]: Simplify (+ 1 0) into 1 1.630 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.630 * [taylor]: Taking taylor expansion of (/ 1 K) in n 1.630 * [taylor]: Taking taylor expansion of K in n 1.630 * [backup-simplify]: Simplify K into K 1.630 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 1.631 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 1.631 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 1.631 * [taylor]: Taking taylor expansion of (* K n) in n 1.631 * [taylor]: Taking taylor expansion of K in n 1.631 * [backup-simplify]: Simplify K into K 1.631 * [taylor]: Taking taylor expansion of n in n 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (* K 0) into 0 1.632 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 1.632 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 1.632 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.632 * [taylor]: Taking taylor expansion of K in K 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (/ 1 1) into 1 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [taylor]: Taking taylor expansion of (/ 1 K) in K 1.632 * [taylor]: Taking taylor expansion of K in K 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (/ 1 1) into 1 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 1.634 * [taylor]: Taking taylor expansion of 0 in n 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.634 * [taylor]: Taking taylor expansion of 0 in K 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 1.634 * [taylor]: Taking taylor expansion of 0 in K 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.637 * [taylor]: Taking taylor expansion of 0 in n 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [taylor]: Taking taylor expansion of 0 in K 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.638 * [taylor]: Taking taylor expansion of 0 in K 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 1.638 * [taylor]: Taking taylor expansion of 0 in K 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 1.641 * * * [progress]: simplifying candidates 1.641 * * * * [progress]: [ 1 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 2 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 3 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 4 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 5 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 6 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 7 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 8 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 9 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 10 / 109 ] simplifiying candidate # 1.641 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> 1.641 * * * * [progress]: [ 12 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 13 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 14 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 15 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 16 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 17 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 18 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 19 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 20 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 21 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 22 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 23 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 24 / 109 ] simplifiying candidate # 1.642 * * * * [progress]: [ 25 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 26 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 27 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 28 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 29 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 30 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 31 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 32 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 33 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 34 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 35 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 36 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 37 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 38 / 109 ] simplifiying candidate # 1.643 * * * * [progress]: [ 39 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 40 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 41 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 42 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 43 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 44 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 45 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 46 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 47 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 48 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 49 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 50 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 51 / 109 ] simplifiying candidate # 1.644 * * * * [progress]: [ 52 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 53 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 54 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 55 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 56 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 57 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 58 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 59 / 109 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (cos (- (/ (* (+ m n) K) 2) M))))> 1.645 * * * * [progress]: [ 60 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 61 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 62 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 63 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 64 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 65 / 109 ] simplifiying candidate # 1.645 * * * * [progress]: [ 66 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 67 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 68 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 69 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 70 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 71 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 72 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 73 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 74 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 75 / 109 ] simplifiying candidate #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> 1.646 * * * * [progress]: [ 76 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 77 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 78 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 79 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 80 / 109 ] simplifiying candidate # 1.646 * * * * [progress]: [ 81 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 82 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 83 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 84 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 85 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 86 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 87 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 88 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 89 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 90 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 91 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 92 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 93 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 94 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 95 / 109 ] simplifiying candidate # 1.647 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 1.648 * * * * [progress]: [ 97 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 98 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 99 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 100 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 101 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 102 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 103 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 104 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 105 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 106 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 107 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 108 / 109 ] simplifiying candidate # 1.648 * * * * [progress]: [ 109 / 109 ] simplifiying candidate # 1.650 * [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))), (+ 1 1), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (+ 1 1), (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))), (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))), (* (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))), (cbrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (sqrt (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))), (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))), (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))), (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)), (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))), (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))), (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))), (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)), (* (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))), (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))), (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))), (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))), (* 1 1), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (* 1 1), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (+ (sqrt (/ (+ m n) 2)) (sqrt M))), (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (sqrt (/ (+ m n) 2)) (sqrt M))), (* (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))), (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))), (* 1 1), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (* 1 1), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))), (* (sqrt (- (/ (+ m n) 2) M)) (sqrt (- (/ (+ m n) 2) M))), (* 2 1), (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)), (* (- (/ (+ m n) 2) M) (- M)), (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)), (* (- (/ (+ m n) 2) M) (- M)), (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)), (* (- M) (- (/ (+ m n) 2) M)), (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)), (* (- M) (- (/ (+ m n) 2) M)), (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))), (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))), (* (- (/ (+ m n) 2) M) 1), (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))), (* (- (/ (+ m n) 2) M) (+ (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M))), (* (- (/ (+ m n) 2) M) 1), (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)), (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)), (* (- (/ (sqrt (+ m n)) (sqrt 2)) (sqrt M)) (- (/ (+ m n) 2) M)), (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)), (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))), (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))), (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)), (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)), (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))), (/ (exp (/ (* (+ m n) K) 2)) (exp M)), (log (- (/ (* (+ m n) K) 2) M)), (exp (- (/ (* (+ m n) K) 2) M)), (* (cbrt (- (/ (* (+ m n) K) 2) M)) (cbrt (- (/ (* (+ m n) K) 2) M))), (cbrt (- (/ (* (+ m n) K) 2) M)), (* (* (- (/ (* (+ m n) K) 2) M) (- (/ (* (+ m n) K) 2) M)) (- (/ (* (+ m n) K) 2) M)), (sqrt (- (/ (* (+ m n) K) 2) M)), (sqrt (- (/ (* (+ m n) K) 2) M)), (- (pow (/ (* (+ m n) K) 2) 3) (pow M 3)), (+ (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (+ (* M M) (* (/ (* (+ m n) K) 2) M))), (- M), (- (* (/ (* (+ m n) K) 2) (/ (* (+ m n) K) 2)) (* M M)), (+ (/ (* (+ m n) K) 2) M), (+ (sqrt (/ (* (+ m n) K) 2)) (sqrt M)), (- (sqrt (/ (* (+ m n) K) 2)) (sqrt M)), (- (/ (* (+ m n) K) 2) M), (- M), (real->posit16 (- (/ (* (+ m n) K) 2) M)), (* (+ m n) K), (+ (log (+ m n)) (log K)), (log (* (+ m n) K)), (exp (* (+ m n) K)), (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K)), (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))), (cbrt (* (+ m n) K)), (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K)), (sqrt (* (+ m n) K)), (sqrt (* (+ m n) K)), (* (sqrt (+ m n)) (sqrt K)), (* (sqrt (+ m n)) (sqrt K)), (* (+ m n) (* (cbrt K) (cbrt K))), (* (+ m n) (sqrt K)), (* (+ m n) 1), (* (cbrt (+ m n)) K), (* (sqrt (+ m n)) K), (* (+ m n) K), (* (+ m n) K), (* (+ (pow m 3) (pow n 3)) K), (* (- (* m m) (* n n)) K), (real->posit16 (* (+ m n) K)), 1, (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))), (- (pow M 2) (+ (* m M) (* M n))), (- (pow M 2) (+ (* m M) (* M n))), (- (+ (* 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), 0, (+ (* K n) (* K m)), (+ (* K n) (* K m)) 1.654 * * [simplify]: iteration 1: (186 enodes) 1.732 * * [simplify]: iteration 2: (808 enodes) 2.046 * * [simplify]: Extracting #0: cost 80 inf + 0 2.048 * * [simplify]: Extracting #1: cost 461 inf + 3 2.053 * * [simplify]: Extracting #2: cost 699 inf + 4527 2.074 * * [simplify]: Extracting #3: cost 485 inf + 47790 2.117 * * [simplify]: Extracting #4: cost 129 inf + 126173 2.161 * * [simplify]: Extracting #5: cost 17 inf + 155503 2.193 * * [simplify]: Extracting #6: cost 0 inf + 160226 2.230 * [simplify]: Simplified to (* (cos (/ (* (+ n m) K) 2)) (cos M)), (* (sin (- M)) (sin (/ (* (+ n m) K) 2))), (* (cos (/ (* (+ n m) K) 2)) (cos M)), (* (sin (- M)) (sin (/ (* (+ n m) K) 2))), (* (cos (/ (* (+ n m) K) 2)) (cos M)), (* (sin (/ (* (+ n m) K) 2)) (sin M)), (log (cos (- (/ (* (+ n m) K) 2) M))), (exp (cos (- (/ (* (+ n m) K) 2) M))), (* (cbrt (cos (- (/ (* (+ n m) K) 2) M))) (cbrt (cos (- (/ (* (+ n m) K) 2) M)))), (cbrt (cos (- (/ (* (+ n m) K) 2) M))), (* (* (cos (- (/ (* (+ n m) K) 2) M)) (cos (- (/ (* (+ n m) K) 2) M))) (cos (- (/ (* (+ n m) K) 2) M))), (sqrt (cos (- (/ (* (+ n m) K) 2) M))), (sqrt (cos (- (/ (* (+ n m) K) 2) M))), (real->posit16 (cos (- (/ (* (+ n m) K) 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) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2)))) (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2))))), (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* (* M M) M))), (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2)))) (+ M (/ (+ n m) 2))), (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* (* M M) M))), (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M (+ M (/ (+ n m) 2)))) (+ M (/ (+ n m) 2))), (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))), (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))), (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M)))), (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))), (- (/ (+ n m) 2) M), (- (/ (+ n m) 2) M), 1, (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), 1, (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (* (+ (sqrt M) (sqrt (/ (+ n m) 2))) (+ (sqrt M) (sqrt (/ (+ n m) 2)))), (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (sqrt (/ (+ n m) 2)) (sqrt M))), (* (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2))) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))), (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))), 1, (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), 1, (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (- (/ (+ n m) 2) M), (- (/ (+ n m) 2) M), 2, (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (* (- (- (/ (+ n m) 2) M)) M), (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (* (- (- (/ (+ n m) 2) M)) M), (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (* (- (- (/ (+ n m) 2) M)) M), (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (* (- (- (/ (+ n m) 2) M)) M), (* (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))) (cbrt (- (/ (+ n m) 2) M))), (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))), (- (/ (+ n m) 2) M), (* (- (/ (+ n m) 2) M) (+ (sqrt M) (sqrt (/ (+ n m) 2)))), (* (- (/ (+ n m) 2) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))), (- (/ (+ 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)), (* (- (/ (+ 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))), (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (- (/ (+ n m) 2) M) (- (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (/ (+ n m) 2)) (* (* M M) M))), (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (exp (- (/ (* (+ n m) K) 2) M)), (log (- (/ (* (+ n m) K) 2) M)), (exp (- (/ (* (+ n m) K) 2) M)), (* (cbrt (- (/ (* (+ n m) K) 2) M)) (cbrt (- (/ (* (+ n m) K) 2) M))), (cbrt (- (/ (* (+ n m) K) 2) M)), (* (* (- (/ (* (+ n m) K) 2) M) (- (/ (* (+ n m) K) 2) M)) (- (/ (* (+ n m) K) 2) M)), (sqrt (- (/ (* (+ n m) K) 2) M)), (sqrt (- (/ (* (+ n m) K) 2) M)), (- (* (/ (* (+ n m) K) 2) (* (/ (* (+ n m) K) 2) (/ (* (+ n m) K) 2))) (* (* M M) M)), (+ (* M (+ M (/ (* (+ n m) K) 2))) (* (/ (* (+ n m) K) 2) (/ (* (+ n m) K) 2))), (- M), (- (* (/ (* (+ n m) K) 2) (/ (* (+ n m) K) 2)) (* M M)), (+ M (/ (* (+ n m) K) 2)), (+ (sqrt M) (sqrt (/ (* (+ n m) K) 2))), (- (sqrt (/ (* (+ n m) K) 2)) (sqrt M)), (- (/ (* (+ n m) K) 2) M), (- M), (real->posit16 (- (/ (* (+ n m) K) 2) M)), (* (+ n m) K), (log (* (+ n m) K)), (log (* (+ n m) K)), (exp (* (+ n m) K)), (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)), (* (cbrt (* (+ n m) K)) (cbrt (* (+ n m) K))), (cbrt (* (+ n m) K)), (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)), (sqrt (* (+ n m) K)), (sqrt (* (+ n m) K)), (* (sqrt (+ n m)) (sqrt K)), (* (sqrt (+ n m)) (sqrt K)), (* (+ n m) (* (cbrt K) (cbrt K))), (* (+ n m) (sqrt K)), (+ n m), (* K (cbrt (+ n m))), (* (sqrt (+ n m)) K), (* (+ n m) K), (* (+ n m) K), (* K (+ (* m (* m m)) (* (* n n) n))), (* (* (+ n m) K) (- m n)), (real->posit16 (* (+ n m) K)), 1, (cos (- (* (* 1/2 K) (+ n m)) M)), (cos (- (* (* 1/2 K) (+ n m)) M)), (+ (* 1/4 (+ (* n n) (* m m))) (* (* 1/2 n) m)), (- (* M M) (* M (+ n m))), (- (* M M) (* M (+ n m))), (- (* (* 1/2 K) (+ n m)) M), (- (* (* 1/2 K) (+ n m)) M), (- (* (* 1/2 K) (+ n m)) M), 0, (* (+ n m) K), (* (+ n m) K) 2.244 * * * [progress]: adding candidates to table 4.100 * * [progress]: iteration 2 / 4 4.100 * * * [progress]: picking best candidate 4.164 * * * * [pick]: Picked # 4.164 * * * [progress]: localizing error 4.206 * * * [progress]: generating rewritten candidates 4.206 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2 2) 4.392 * * * [progress]: generating series expansions 4.392 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2 2) 4.393 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 4.393 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 4.393 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 4.393 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 4.393 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 4.393 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 4.393 * [taylor]: Taking taylor expansion of 1/2 in M 4.393 * [backup-simplify]: Simplify 1/2 into 1/2 4.393 * [taylor]: Taking taylor expansion of m in M 4.393 * [backup-simplify]: Simplify m into m 4.393 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 4.393 * [taylor]: Taking taylor expansion of 1/2 in M 4.393 * [backup-simplify]: Simplify 1/2 into 1/2 4.393 * [taylor]: Taking taylor expansion of n in M 4.393 * [backup-simplify]: Simplify n into n 4.393 * [taylor]: Taking taylor expansion of M in M 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 4.393 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 4.393 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 4.394 * [backup-simplify]: Simplify (- 0) into 0 4.394 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 4.394 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 4.394 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 4.394 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 4.394 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 4.394 * [taylor]: Taking taylor expansion of 1/2 in n 4.394 * [backup-simplify]: Simplify 1/2 into 1/2 4.394 * [taylor]: Taking taylor expansion of m in n 4.394 * [backup-simplify]: Simplify m into m 4.394 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 4.394 * [taylor]: Taking taylor expansion of 1/2 in n 4.394 * [backup-simplify]: Simplify 1/2 into 1/2 4.394 * [taylor]: Taking taylor expansion of n in n 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [taylor]: Taking taylor expansion of M in n 4.394 * [backup-simplify]: Simplify M into M 4.394 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 4.394 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.394 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 4.395 * [backup-simplify]: Simplify (- M) into (- M) 4.395 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 4.395 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 4.395 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 4.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 4.395 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 4.395 * [taylor]: Taking taylor expansion of 1/2 in m 4.395 * [backup-simplify]: Simplify 1/2 into 1/2 4.395 * [taylor]: Taking taylor expansion of m in m 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 1 into 1 4.395 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 4.395 * [taylor]: Taking taylor expansion of 1/2 in m 4.395 * [backup-simplify]: Simplify 1/2 into 1/2 4.395 * [taylor]: Taking taylor expansion of n in m 4.395 * [backup-simplify]: Simplify n into n 4.395 * [taylor]: Taking taylor expansion of M in m 4.395 * [backup-simplify]: Simplify M into M 4.395 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.395 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 4.395 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 4.395 * [backup-simplify]: Simplify (- M) into (- M) 4.395 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 4.395 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 4.395 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 4.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 4.395 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 4.396 * [taylor]: Taking taylor expansion of 1/2 in m 4.396 * [backup-simplify]: Simplify 1/2 into 1/2 4.396 * [taylor]: Taking taylor expansion of m in m 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 4.396 * [taylor]: Taking taylor expansion of 1/2 in m 4.396 * [backup-simplify]: Simplify 1/2 into 1/2 4.396 * [taylor]: Taking taylor expansion of n in m 4.396 * [backup-simplify]: Simplify n into n 4.396 * [taylor]: Taking taylor expansion of M in m 4.396 * [backup-simplify]: Simplify M into M 4.396 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.396 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 4.396 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 4.396 * [backup-simplify]: Simplify (- M) into (- M) 4.396 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 4.397 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 4.397 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 4.397 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 4.397 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 4.397 * [taylor]: Taking taylor expansion of 1/2 in n 4.397 * [backup-simplify]: Simplify 1/2 into 1/2 4.397 * [taylor]: Taking taylor expansion of n in n 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [taylor]: Taking taylor expansion of M in n 4.397 * [backup-simplify]: Simplify M into M 4.397 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.397 * [backup-simplify]: Simplify (- M) into (- M) 4.397 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.397 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 4.397 * [taylor]: Taking taylor expansion of (pow M 2) in M 4.397 * [taylor]: Taking taylor expansion of M in M 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.398 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 4.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.399 * [backup-simplify]: Simplify (- 0) into 0 4.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.399 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 4.399 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 4.399 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 4.399 * [taylor]: Taking taylor expansion of 1/2 in n 4.399 * [backup-simplify]: Simplify 1/2 into 1/2 4.399 * [taylor]: Taking taylor expansion of n in n 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [taylor]: Taking taylor expansion of M in n 4.399 * [backup-simplify]: Simplify M into M 4.400 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.400 * [backup-simplify]: Simplify (- M) into (- M) 4.400 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 4.400 * [taylor]: Taking taylor expansion of (- M) in M 4.400 * [taylor]: Taking taylor expansion of M in M 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (- 0) into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.401 * [backup-simplify]: Simplify (- 0) into 0 4.401 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.401 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 4.401 * [taylor]: Taking taylor expansion of (- M) in M 4.401 * [taylor]: Taking taylor expansion of M in M 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (- 0) into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.403 * [backup-simplify]: Simplify (- 0) into 0 4.403 * [backup-simplify]: Simplify (+ 0 0) into 0 4.404 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 4.404 * [taylor]: Taking taylor expansion of 1/4 in n 4.404 * [backup-simplify]: Simplify 1/4 into 1/4 4.404 * [taylor]: Taking taylor expansion of 1/4 in M 4.404 * [backup-simplify]: Simplify 1/4 into 1/4 4.404 * [backup-simplify]: Simplify 1/4 into 1/4 4.404 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.405 * [backup-simplify]: Simplify (- 0) into 0 4.405 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.405 * [taylor]: Taking taylor expansion of 1/2 in M 4.405 * [backup-simplify]: Simplify 1/2 into 1/2 4.405 * [backup-simplify]: Simplify 1/2 into 1/2 4.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.406 * [backup-simplify]: Simplify (- 0) into 0 4.406 * [backup-simplify]: Simplify (+ 0 0) into 0 4.406 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 4.406 * [taylor]: Taking taylor expansion of 1/4 in M 4.406 * [backup-simplify]: Simplify 1/4 into 1/4 4.406 * [backup-simplify]: Simplify 1/4 into 1/4 4.407 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 4.407 * [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) 4.407 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 4.407 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 4.407 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 4.407 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 4.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 4.407 * [taylor]: Taking taylor expansion of 1/2 in M 4.407 * [backup-simplify]: Simplify 1/2 into 1/2 4.407 * [taylor]: Taking taylor expansion of (/ 1 m) in M 4.407 * [taylor]: Taking taylor expansion of m in M 4.407 * [backup-simplify]: Simplify m into m 4.407 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 4.407 * [taylor]: Taking taylor expansion of 1/2 in M 4.407 * [backup-simplify]: Simplify 1/2 into 1/2 4.407 * [taylor]: Taking taylor expansion of (/ 1 n) in M 4.407 * [taylor]: Taking taylor expansion of n in M 4.407 * [backup-simplify]: Simplify n into n 4.407 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.407 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.407 * [taylor]: Taking taylor expansion of M in M 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.408 * [backup-simplify]: Simplify (/ 1 1) into 1 4.408 * [backup-simplify]: Simplify (- 1) into -1 4.408 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.408 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 4.408 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 4.408 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 4.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 4.408 * [taylor]: Taking taylor expansion of 1/2 in n 4.408 * [backup-simplify]: Simplify 1/2 into 1/2 4.408 * [taylor]: Taking taylor expansion of (/ 1 m) in n 4.408 * [taylor]: Taking taylor expansion of m in n 4.408 * [backup-simplify]: Simplify m into m 4.408 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.408 * [taylor]: Taking taylor expansion of 1/2 in n 4.408 * [backup-simplify]: Simplify 1/2 into 1/2 4.408 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.408 * [taylor]: Taking taylor expansion of n in n 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (/ 1 1) into 1 4.409 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.409 * [taylor]: Taking taylor expansion of M in n 4.409 * [backup-simplify]: Simplify M into M 4.409 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.409 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.409 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.410 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.410 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 4.410 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 4.410 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.410 * [taylor]: Taking taylor expansion of 1/2 in m 4.410 * [backup-simplify]: Simplify 1/2 into 1/2 4.410 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.410 * [taylor]: Taking taylor expansion of m in m 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.410 * [backup-simplify]: Simplify (/ 1 1) into 1 4.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.410 * [taylor]: Taking taylor expansion of 1/2 in m 4.410 * [backup-simplify]: Simplify 1/2 into 1/2 4.410 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.410 * [taylor]: Taking taylor expansion of n in m 4.410 * [backup-simplify]: Simplify n into n 4.410 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.410 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.410 * [taylor]: Taking taylor expansion of M in m 4.410 * [backup-simplify]: Simplify M into M 4.410 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.411 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.411 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.411 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.411 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 4.411 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 4.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.411 * [taylor]: Taking taylor expansion of 1/2 in m 4.411 * [backup-simplify]: Simplify 1/2 into 1/2 4.411 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.411 * [taylor]: Taking taylor expansion of m in m 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.412 * [taylor]: Taking taylor expansion of 1/2 in m 4.412 * [backup-simplify]: Simplify 1/2 into 1/2 4.412 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.412 * [taylor]: Taking taylor expansion of n in m 4.412 * [backup-simplify]: Simplify n into n 4.412 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.412 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.412 * [taylor]: Taking taylor expansion of M in m 4.412 * [backup-simplify]: Simplify M into M 4.412 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.412 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.412 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.413 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 4.413 * [taylor]: Taking taylor expansion of 1/4 in n 4.413 * [backup-simplify]: Simplify 1/4 into 1/4 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.414 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.414 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 4.414 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.414 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 4.414 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 4.414 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 4.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.414 * [taylor]: Taking taylor expansion of 1/2 in n 4.414 * [backup-simplify]: Simplify 1/2 into 1/2 4.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.415 * [taylor]: Taking taylor expansion of n in n 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (/ 1 1) into 1 4.415 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.415 * [taylor]: Taking taylor expansion of M in n 4.415 * [backup-simplify]: Simplify M into M 4.415 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.417 * [backup-simplify]: Simplify (- 0) into 0 4.417 * [backup-simplify]: Simplify (+ 0 0) into 0 4.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 4.418 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 4.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 4.418 * [taylor]: Taking taylor expansion of (pow M 2) in n 4.418 * [taylor]: Taking taylor expansion of M in n 4.418 * [backup-simplify]: Simplify M into M 4.418 * [backup-simplify]: Simplify (* M M) into (pow M 2) 4.418 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 4.418 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 4.418 * [taylor]: Taking taylor expansion of 1/4 in n 4.418 * [backup-simplify]: Simplify 1/4 into 1/4 4.418 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.418 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.418 * [taylor]: Taking taylor expansion of n in n 4.418 * [backup-simplify]: Simplify 0 into 0 4.418 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (* 1 1) into 1 4.419 * [backup-simplify]: Simplify (/ 1 1) into 1 4.419 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 4.419 * [taylor]: Taking taylor expansion of (* M n) in n 4.419 * [taylor]: Taking taylor expansion of M in n 4.419 * [backup-simplify]: Simplify M into M 4.419 * [taylor]: Taking taylor expansion of n in n 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (* M 0) into 0 4.420 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 4.420 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.420 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 4.423 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.423 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 4.423 * [taylor]: Taking taylor expansion of 1/4 in M 4.423 * [backup-simplify]: Simplify 1/4 into 1/4 4.424 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.424 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.424 * [taylor]: Taking taylor expansion of 1/2 in M 4.424 * [backup-simplify]: Simplify 1/2 into 1/2 4.424 * [taylor]: Taking taylor expansion of 1/4 in M 4.425 * [backup-simplify]: Simplify 1/4 into 1/4 4.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 4.428 * [backup-simplify]: Simplify (+ 0 0) into 0 4.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.429 * [backup-simplify]: Simplify (- 0) into 0 4.429 * [backup-simplify]: Simplify (+ 0 0) into 0 4.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 4.430 * [taylor]: Taking taylor expansion of 0 in n 4.430 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 4.433 * [backup-simplify]: Simplify (+ 0 0) into 0 4.433 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.433 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.433 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.433 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.433 * [taylor]: Taking taylor expansion of M in M 4.433 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify 1 into 1 4.434 * [backup-simplify]: Simplify (/ 1 1) into 1 4.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.435 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.435 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.435 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.435 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.435 * [taylor]: Taking taylor expansion of M in M 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (/ 1 1) into 1 4.436 * [taylor]: Taking taylor expansion of 0 in M 4.436 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 4.440 * [backup-simplify]: Simplify (+ 0 0) into 0 4.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.441 * [backup-simplify]: Simplify (- 0) into 0 4.441 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 4.443 * [taylor]: Taking taylor expansion of 0 in n 4.443 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 4.446 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.446 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 4.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.447 * [backup-simplify]: Simplify (- 0) into 0 4.447 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.447 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 4.447 * [taylor]: Taking taylor expansion of (pow M 2) in M 4.447 * [taylor]: Taking taylor expansion of M in M 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [backup-simplify]: Simplify (* 1 1) into 1 4.448 * [backup-simplify]: Simplify (/ 1 1) into 1 4.448 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.450 * [backup-simplify]: Simplify (- 0) into 0 4.451 * [backup-simplify]: Simplify (+ 0 0) into 0 4.451 * [taylor]: Taking taylor expansion of 0 in M 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [taylor]: Taking taylor expansion of 0 in M 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify (- 1) into -1 4.451 * [backup-simplify]: Simplify -1 into -1 4.452 * [backup-simplify]: Simplify (- 1) into -1 4.452 * [backup-simplify]: Simplify -1 into -1 4.453 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 4.453 * [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) 4.453 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 4.453 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 4.453 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 4.454 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.454 * [taylor]: Taking taylor expansion of M in M 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [backup-simplify]: Simplify (/ 1 1) into 1 4.454 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 4.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 4.454 * [taylor]: Taking taylor expansion of 1/2 in M 4.454 * [backup-simplify]: Simplify 1/2 into 1/2 4.454 * [taylor]: Taking taylor expansion of (/ 1 m) in M 4.454 * [taylor]: Taking taylor expansion of m in M 4.454 * [backup-simplify]: Simplify m into m 4.454 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 4.454 * [taylor]: Taking taylor expansion of 1/2 in M 4.454 * [backup-simplify]: Simplify 1/2 into 1/2 4.454 * [taylor]: Taking taylor expansion of (/ 1 n) in M 4.454 * [taylor]: Taking taylor expansion of n in M 4.454 * [backup-simplify]: Simplify n into n 4.454 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.455 * [backup-simplify]: Simplify (+ 1 0) into 1 4.455 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 4.455 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 4.455 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.455 * [taylor]: Taking taylor expansion of M in n 4.455 * [backup-simplify]: Simplify M into M 4.455 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.455 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 4.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 4.455 * [taylor]: Taking taylor expansion of 1/2 in n 4.455 * [backup-simplify]: Simplify 1/2 into 1/2 4.455 * [taylor]: Taking taylor expansion of (/ 1 m) in n 4.455 * [taylor]: Taking taylor expansion of m in n 4.455 * [backup-simplify]: Simplify m into m 4.455 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 4.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.455 * [taylor]: Taking taylor expansion of 1/2 in n 4.456 * [backup-simplify]: Simplify 1/2 into 1/2 4.456 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.456 * [backup-simplify]: Simplify (/ 1 1) into 1 4.456 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.457 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.457 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.458 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.458 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 4.458 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 4.458 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.458 * [taylor]: Taking taylor expansion of M in m 4.458 * [backup-simplify]: Simplify M into M 4.458 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.458 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.458 * [taylor]: Taking taylor expansion of 1/2 in m 4.458 * [backup-simplify]: Simplify 1/2 into 1/2 4.458 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.458 * [taylor]: Taking taylor expansion of m in m 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.459 * [taylor]: Taking taylor expansion of 1/2 in m 4.459 * [backup-simplify]: Simplify 1/2 into 1/2 4.459 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.459 * [taylor]: Taking taylor expansion of n in m 4.459 * [backup-simplify]: Simplify n into n 4.459 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.459 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.460 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.460 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.460 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.460 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 4.460 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 4.460 * [taylor]: Taking taylor expansion of (/ 1 M) in m 4.460 * [taylor]: Taking taylor expansion of M in m 4.461 * [backup-simplify]: Simplify M into M 4.461 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.461 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 4.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 4.461 * [taylor]: Taking taylor expansion of 1/2 in m 4.461 * [backup-simplify]: Simplify 1/2 into 1/2 4.461 * [taylor]: Taking taylor expansion of (/ 1 m) in m 4.461 * [taylor]: Taking taylor expansion of m in m 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 1 into 1 4.461 * [backup-simplify]: Simplify (/ 1 1) into 1 4.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 4.461 * [taylor]: Taking taylor expansion of 1/2 in m 4.461 * [backup-simplify]: Simplify 1/2 into 1/2 4.461 * [taylor]: Taking taylor expansion of (/ 1 n) in m 4.461 * [taylor]: Taking taylor expansion of n in m 4.461 * [backup-simplify]: Simplify n into n 4.461 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.462 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.462 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.463 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.463 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 4.464 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 4.464 * [taylor]: Taking taylor expansion of 1/4 in n 4.464 * [backup-simplify]: Simplify 1/4 into 1/4 4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.466 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 4.466 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 4.466 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 4.466 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 4.466 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 4.466 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 4.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 4.466 * [taylor]: Taking taylor expansion of 1/2 in n 4.466 * [backup-simplify]: Simplify 1/2 into 1/2 4.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.466 * [taylor]: Taking taylor expansion of n in n 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (/ 1 1) into 1 4.467 * [taylor]: Taking taylor expansion of (/ 1 M) in n 4.467 * [taylor]: Taking taylor expansion of M in n 4.467 * [backup-simplify]: Simplify M into M 4.467 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 4.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 4.470 * [backup-simplify]: Simplify (+ 0 0) into 0 4.471 * [backup-simplify]: Simplify (- 0) into 0 4.471 * [backup-simplify]: Simplify (+ 0 0) into 0 4.472 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 4.473 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 4.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 4.473 * [taylor]: Taking taylor expansion of (pow M 2) in n 4.473 * [taylor]: Taking taylor expansion of M in n 4.473 * [backup-simplify]: Simplify M into M 4.473 * [backup-simplify]: Simplify (* M M) into (pow M 2) 4.473 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 4.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 4.473 * [taylor]: Taking taylor expansion of 1/4 in n 4.473 * [backup-simplify]: Simplify 1/4 into 1/4 4.473 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 4.473 * [taylor]: Taking taylor expansion of (pow n 2) in n 4.473 * [taylor]: Taking taylor expansion of n in n 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (* 1 1) into 1 4.474 * [backup-simplify]: Simplify (/ 1 1) into 1 4.474 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 4.474 * [taylor]: Taking taylor expansion of (* M n) in n 4.474 * [taylor]: Taking taylor expansion of M in n 4.474 * [backup-simplify]: Simplify M into M 4.474 * [taylor]: Taking taylor expansion of n in n 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* M 0) into 0 4.474 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 4.475 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 4.475 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 4.475 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 4.476 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 4.476 * [taylor]: Taking taylor expansion of 1/4 in M 4.476 * [backup-simplify]: Simplify 1/4 into 1/4 4.476 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.477 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 4.477 * [taylor]: Taking taylor expansion of 1/2 in M 4.477 * [backup-simplify]: Simplify 1/2 into 1/2 4.477 * [taylor]: Taking taylor expansion of 1/4 in M 4.477 * [backup-simplify]: Simplify 1/4 into 1/4 4.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 4.481 * [backup-simplify]: Simplify (+ 0 0) into 0 4.481 * [backup-simplify]: Simplify (- 0) into 0 4.481 * [backup-simplify]: Simplify (+ 0 0) into 0 4.482 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 4.483 * [taylor]: Taking taylor expansion of 0 in n 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 4.485 * [backup-simplify]: Simplify (+ 0 0) into 0 4.485 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.485 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.485 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.485 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.485 * [taylor]: Taking taylor expansion of M in M 4.485 * [backup-simplify]: Simplify 0 into 0 4.486 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (/ 1 1) into 1 4.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.487 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 4.488 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 4.488 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 4.488 * [taylor]: Taking taylor expansion of (/ 1 M) in M 4.488 * [taylor]: Taking taylor expansion of M in M 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify 1 into 1 4.488 * [backup-simplify]: Simplify (/ 1 1) into 1 4.488 * [taylor]: Taking taylor expansion of 0 in M 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 4.493 * [backup-simplify]: Simplify (+ 0 0) into 0 4.493 * [backup-simplify]: Simplify (- 0) into 0 4.493 * [backup-simplify]: Simplify (+ 0 0) into 0 4.495 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 4.495 * [taylor]: Taking taylor expansion of 0 in n 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 4.498 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.498 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 4.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.499 * [backup-simplify]: Simplify (- 0) into 0 4.499 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 4.499 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 4.499 * [taylor]: Taking taylor expansion of (pow M 2) in M 4.499 * [taylor]: Taking taylor expansion of M in M 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.500 * [backup-simplify]: Simplify (* 1 1) into 1 4.500 * [backup-simplify]: Simplify (/ 1 1) into 1 4.500 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 4.503 * [backup-simplify]: Simplify (- 0) into 0 4.503 * [backup-simplify]: Simplify (+ 0 0) into 0 4.503 * [taylor]: Taking taylor expansion of 0 in M 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in M 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (- 1) into -1 4.504 * [backup-simplify]: Simplify -1 into -1 4.504 * [backup-simplify]: Simplify (- 1) into -1 4.504 * [backup-simplify]: Simplify -1 into -1 4.505 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 4.505 * * * [progress]: simplifying candidates 4.505 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 4.505 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 4.506 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 4.507 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 4.508 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))> 4.509 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 4.509 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 4.510 * [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))) 4.513 * * [simplify]: iteration 1: (94 enodes) 4.572 * * [simplify]: iteration 2: (443 enodes) 4.734 * * [simplify]: iteration 3: (1201 enodes) 5.258 * * [simplify]: Extracting #0: cost 35 inf + 0 5.260 * * [simplify]: Extracting #1: cost 345 inf + 2 5.265 * * [simplify]: Extracting #2: cost 905 inf + 6 5.274 * * [simplify]: Extracting #3: cost 1036 inf + 2563 5.300 * * [simplify]: Extracting #4: cost 679 inf + 80755 5.385 * * [simplify]: Extracting #5: cost 137 inf + 241405 5.465 * * [simplify]: Extracting #6: cost 5 inf + 277351 5.572 * * [simplify]: Extracting #7: cost 0 inf + 278048 5.665 * [simplify]: Simplified to 2, (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), 2, (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))), (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))), (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))), (fabs (- (/ (+ n m) 2) M)), (fabs (- (/ (+ n m) 2) M)), (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M)) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))), (* (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2)))) (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))))), (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M)) (- (/ (* (+ n m) (+ n m)) 4) (* M M))), (* (+ M (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))))), (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M)) (- (/ (* (+ n m) (+ n m)) 4) (* M M))), (* (+ M (/ (+ n m) 2)) (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))))), (* (- (/ (* (+ n m) (+ n m)) 4) (* M M)) (- (/ (* (+ n m) (+ n m)) 4) (* M 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 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)), (* (* (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)), (* (- (/ (+ n m) 2) M) (+ (sqrt M) (/ (sqrt (+ n m)) (sqrt 2)))), (- (/ (+ n m) 2) M), (* (- (/ (+ n m) 2) M) (cbrt (- (/ (+ n m) 2) M))), (* (sqrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)), (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (* (- (sqrt (/ (+ n m) 2)) (sqrt M)) (- (/ (+ n m) 2) M)), (* (- (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M)) (- (/ (+ n m) 2) M)), (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (* (- (/ (+ n m) 2) M) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))), (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (- (/ (+ n m) 2) M) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* (* M M) M))), (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (real->posit16 (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (+ (* m (+ (* 1/4 m) (* n 1/2))) (* n (* n 1/4))), (* M (- (- M m) n)), (* M (- (- M m) n)) 5.671 * * * [progress]: adding candidates to table 6.372 * * [progress]: iteration 3 / 4 6.372 * * * [progress]: picking best candidate 6.408 * * * * [pick]: Picked #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))> 6.409 * * * [progress]: localizing error 6.454 * * * [progress]: generating rewritten candidates 6.454 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2 2) 6.455 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2 2 1 1) 6.676 * * * [progress]: generating series expansions 6.676 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2 2) 6.676 * [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) 6.676 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 6.676 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 6.676 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 6.676 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 6.676 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 6.677 * [taylor]: Taking taylor expansion of 1/2 in M 6.677 * [backup-simplify]: Simplify 1/2 into 1/2 6.677 * [taylor]: Taking taylor expansion of m in M 6.677 * [backup-simplify]: Simplify m into m 6.677 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 6.677 * [taylor]: Taking taylor expansion of 1/2 in M 6.677 * [backup-simplify]: Simplify 1/2 into 1/2 6.677 * [taylor]: Taking taylor expansion of n in M 6.677 * [backup-simplify]: Simplify n into n 6.677 * [taylor]: Taking taylor expansion of M in M 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.677 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.677 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 6.678 * [backup-simplify]: Simplify (- 0) into 0 6.678 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 6.678 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 6.678 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 6.678 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 6.678 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 6.678 * [taylor]: Taking taylor expansion of 1/2 in n 6.678 * [backup-simplify]: Simplify 1/2 into 1/2 6.678 * [taylor]: Taking taylor expansion of m in n 6.678 * [backup-simplify]: Simplify m into m 6.678 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.678 * [taylor]: Taking taylor expansion of 1/2 in n 6.678 * [backup-simplify]: Simplify 1/2 into 1/2 6.678 * [taylor]: Taking taylor expansion of n in n 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [taylor]: Taking taylor expansion of M in n 6.678 * [backup-simplify]: Simplify M into M 6.678 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.679 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.679 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 6.679 * [backup-simplify]: Simplify (- M) into (- M) 6.679 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 6.679 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.679 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.679 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.679 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.679 * [taylor]: Taking taylor expansion of 1/2 in m 6.679 * [backup-simplify]: Simplify 1/2 into 1/2 6.679 * [taylor]: Taking taylor expansion of m in m 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 1 into 1 6.679 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.679 * [taylor]: Taking taylor expansion of 1/2 in m 6.679 * [backup-simplify]: Simplify 1/2 into 1/2 6.679 * [taylor]: Taking taylor expansion of n in m 6.679 * [backup-simplify]: Simplify n into n 6.679 * [taylor]: Taking taylor expansion of M in m 6.680 * [backup-simplify]: Simplify M into M 6.680 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.680 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.680 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.680 * [backup-simplify]: Simplify (- M) into (- M) 6.680 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.680 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.680 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.680 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.680 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.680 * [taylor]: Taking taylor expansion of 1/2 in m 6.680 * [backup-simplify]: Simplify 1/2 into 1/2 6.680 * [taylor]: Taking taylor expansion of m in m 6.680 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.681 * [taylor]: Taking taylor expansion of 1/2 in m 6.681 * [backup-simplify]: Simplify 1/2 into 1/2 6.681 * [taylor]: Taking taylor expansion of n in m 6.681 * [backup-simplify]: Simplify n into n 6.681 * [taylor]: Taking taylor expansion of M in m 6.681 * [backup-simplify]: Simplify M into M 6.681 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.681 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.681 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.681 * [backup-simplify]: Simplify (- M) into (- M) 6.681 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.682 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 6.682 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 6.682 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.682 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.682 * [taylor]: Taking taylor expansion of 1/2 in n 6.682 * [backup-simplify]: Simplify 1/2 into 1/2 6.682 * [taylor]: Taking taylor expansion of n in n 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 1 into 1 6.682 * [taylor]: Taking taylor expansion of M in n 6.682 * [backup-simplify]: Simplify M into M 6.682 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.682 * [backup-simplify]: Simplify (- M) into (- M) 6.683 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.683 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 6.683 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.683 * [taylor]: Taking taylor expansion of M in M 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 6.684 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.685 * [backup-simplify]: Simplify (- 0) into 0 6.685 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.685 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 6.685 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.685 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.685 * [taylor]: Taking taylor expansion of 1/2 in n 6.685 * [backup-simplify]: Simplify 1/2 into 1/2 6.685 * [taylor]: Taking taylor expansion of n in n 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.686 * [taylor]: Taking taylor expansion of M in n 6.686 * [backup-simplify]: Simplify M into M 6.686 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.686 * [backup-simplify]: Simplify (- M) into (- M) 6.686 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.686 * [taylor]: Taking taylor expansion of (- M) in M 6.686 * [taylor]: Taking taylor expansion of M in M 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.687 * [backup-simplify]: Simplify (- 0) into 0 6.687 * [backup-simplify]: Simplify 0 into 0 6.687 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.688 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.688 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 6.688 * [taylor]: Taking taylor expansion of (- M) in M 6.688 * [taylor]: Taking taylor expansion of M in M 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 1 into 1 6.688 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 6.690 * [backup-simplify]: Simplify (+ 0 0) into 0 6.690 * [backup-simplify]: Simplify (- 0) into 0 6.690 * [backup-simplify]: Simplify (+ 0 0) into 0 6.690 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 6.690 * [taylor]: Taking taylor expansion of 1/4 in n 6.690 * [backup-simplify]: Simplify 1/4 into 1/4 6.690 * [taylor]: Taking taylor expansion of 1/4 in M 6.691 * [backup-simplify]: Simplify 1/4 into 1/4 6.691 * [backup-simplify]: Simplify 1/4 into 1/4 6.691 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.691 * [backup-simplify]: Simplify (- 0) into 0 6.691 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.691 * [taylor]: Taking taylor expansion of 1/2 in M 6.692 * [backup-simplify]: Simplify 1/2 into 1/2 6.692 * [backup-simplify]: Simplify 1/2 into 1/2 6.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.692 * [backup-simplify]: Simplify (- 0) into 0 6.693 * [backup-simplify]: Simplify (+ 0 0) into 0 6.693 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 6.693 * [taylor]: Taking taylor expansion of 1/4 in M 6.693 * [backup-simplify]: Simplify 1/4 into 1/4 6.693 * [backup-simplify]: Simplify 1/4 into 1/4 6.693 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 6.693 * [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) 6.694 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 6.694 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 6.694 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 6.694 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.694 * [taylor]: Taking taylor expansion of 1/2 in M 6.694 * [backup-simplify]: Simplify 1/2 into 1/2 6.694 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.694 * [taylor]: Taking taylor expansion of m in M 6.694 * [backup-simplify]: Simplify m into m 6.694 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.694 * [taylor]: Taking taylor expansion of 1/2 in M 6.694 * [backup-simplify]: Simplify 1/2 into 1/2 6.694 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.694 * [taylor]: Taking taylor expansion of n in M 6.694 * [backup-simplify]: Simplify n into n 6.694 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.694 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.694 * [taylor]: Taking taylor expansion of M in M 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (/ 1 1) into 1 6.694 * [backup-simplify]: Simplify (- 1) into -1 6.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.695 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 6.695 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 6.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.695 * [taylor]: Taking taylor expansion of 1/2 in n 6.695 * [backup-simplify]: Simplify 1/2 into 1/2 6.695 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.695 * [taylor]: Taking taylor expansion of m in n 6.695 * [backup-simplify]: Simplify m into m 6.695 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.695 * [taylor]: Taking taylor expansion of 1/2 in n 6.695 * [backup-simplify]: Simplify 1/2 into 1/2 6.695 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.695 * [taylor]: Taking taylor expansion of n in n 6.695 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify 1 into 1 6.695 * [backup-simplify]: Simplify (/ 1 1) into 1 6.695 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.695 * [taylor]: Taking taylor expansion of M in n 6.695 * [backup-simplify]: Simplify M into M 6.695 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.696 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.696 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.696 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.696 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.696 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.696 * [taylor]: Taking taylor expansion of 1/2 in m 6.696 * [backup-simplify]: Simplify 1/2 into 1/2 6.696 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.696 * [taylor]: Taking taylor expansion of m in m 6.696 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify 1 into 1 6.697 * [backup-simplify]: Simplify (/ 1 1) into 1 6.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.697 * [taylor]: Taking taylor expansion of 1/2 in m 6.697 * [backup-simplify]: Simplify 1/2 into 1/2 6.697 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.697 * [taylor]: Taking taylor expansion of n in m 6.697 * [backup-simplify]: Simplify n into n 6.697 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.697 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.697 * [taylor]: Taking taylor expansion of M in m 6.697 * [backup-simplify]: Simplify M into M 6.697 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.697 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.697 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.698 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.698 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.698 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.698 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.698 * [taylor]: Taking taylor expansion of 1/2 in m 6.698 * [backup-simplify]: Simplify 1/2 into 1/2 6.698 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.698 * [taylor]: Taking taylor expansion of m in m 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [backup-simplify]: Simplify (/ 1 1) into 1 6.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.698 * [taylor]: Taking taylor expansion of 1/2 in m 6.698 * [backup-simplify]: Simplify 1/2 into 1/2 6.698 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.698 * [taylor]: Taking taylor expansion of n in m 6.698 * [backup-simplify]: Simplify n into n 6.698 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.698 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.698 * [taylor]: Taking taylor expansion of M in m 6.698 * [backup-simplify]: Simplify M into M 6.698 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.698 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.699 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.699 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.699 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.699 * [taylor]: Taking taylor expansion of 1/4 in n 6.699 * [backup-simplify]: Simplify 1/4 into 1/4 6.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.700 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.700 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.700 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.700 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.701 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.701 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.701 * [taylor]: Taking taylor expansion of 1/2 in n 6.701 * [backup-simplify]: Simplify 1/2 into 1/2 6.701 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.701 * [taylor]: Taking taylor expansion of n in n 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [backup-simplify]: Simplify (/ 1 1) into 1 6.701 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.701 * [taylor]: Taking taylor expansion of M in n 6.701 * [backup-simplify]: Simplify M into M 6.701 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.703 * [backup-simplify]: Simplify (+ 0 0) into 0 6.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.704 * [backup-simplify]: Simplify (- 0) into 0 6.704 * [backup-simplify]: Simplify (+ 0 0) into 0 6.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.705 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.705 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.705 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.705 * [taylor]: Taking taylor expansion of M in n 6.705 * [backup-simplify]: Simplify M into M 6.705 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.705 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.705 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.705 * [taylor]: Taking taylor expansion of 1/4 in n 6.705 * [backup-simplify]: Simplify 1/4 into 1/4 6.705 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.705 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.705 * [taylor]: Taking taylor expansion of n in n 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.705 * [backup-simplify]: Simplify (* 1 1) into 1 6.705 * [backup-simplify]: Simplify (/ 1 1) into 1 6.705 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.705 * [taylor]: Taking taylor expansion of (* M n) in n 6.705 * [taylor]: Taking taylor expansion of M in n 6.705 * [backup-simplify]: Simplify M into M 6.705 * [taylor]: Taking taylor expansion of n in n 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (* M 0) into 0 6.706 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.706 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.706 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.706 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.707 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.707 * [taylor]: Taking taylor expansion of 1/4 in M 6.707 * [backup-simplify]: Simplify 1/4 into 1/4 6.707 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.707 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.707 * [taylor]: Taking taylor expansion of 1/2 in M 6.707 * [backup-simplify]: Simplify 1/2 into 1/2 6.707 * [taylor]: Taking taylor expansion of 1/4 in M 6.707 * [backup-simplify]: Simplify 1/4 into 1/4 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.710 * [backup-simplify]: Simplify (- 0) into 0 6.710 * [backup-simplify]: Simplify (+ 0 0) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 6.711 * [taylor]: Taking taylor expansion of 0 in n 6.711 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.712 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.712 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.712 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.712 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.712 * [taylor]: Taking taylor expansion of M in M 6.712 * [backup-simplify]: Simplify 0 into 0 6.712 * [backup-simplify]: Simplify 1 into 1 6.713 * [backup-simplify]: Simplify (/ 1 1) into 1 6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.714 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.714 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.714 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.714 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.714 * [taylor]: Taking taylor expansion of M in M 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [taylor]: Taking taylor expansion of 0 in M 6.714 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.717 * [backup-simplify]: Simplify (+ 0 0) into 0 6.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.718 * [backup-simplify]: Simplify (- 0) into 0 6.718 * [backup-simplify]: Simplify (+ 0 0) into 0 6.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 6.719 * [taylor]: Taking taylor expansion of 0 in n 6.719 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.724 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.724 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.725 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.726 * [backup-simplify]: Simplify (- 0) into 0 6.726 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.726 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.726 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.726 * [taylor]: Taking taylor expansion of M in M 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (* 1 1) into 1 6.727 * [backup-simplify]: Simplify (/ 1 1) into 1 6.727 * [backup-simplify]: Simplify 1 into 1 6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.728 * [backup-simplify]: Simplify (- 0) into 0 6.729 * [backup-simplify]: Simplify (+ 0 0) into 0 6.729 * [taylor]: Taking taylor expansion of 0 in M 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [taylor]: Taking taylor expansion of 0 in M 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (- 1) into -1 6.729 * [backup-simplify]: Simplify -1 into -1 6.729 * [backup-simplify]: Simplify (- 1) into -1 6.729 * [backup-simplify]: Simplify -1 into -1 6.730 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.730 * [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) 6.730 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 6.730 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 6.730 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 6.730 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.730 * [taylor]: Taking taylor expansion of M in M 6.730 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify 1 into 1 6.730 * [backup-simplify]: Simplify (/ 1 1) into 1 6.730 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.730 * [taylor]: Taking taylor expansion of 1/2 in M 6.730 * [backup-simplify]: Simplify 1/2 into 1/2 6.731 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.731 * [taylor]: Taking taylor expansion of m in M 6.731 * [backup-simplify]: Simplify m into m 6.731 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.731 * [taylor]: Taking taylor expansion of 1/2 in M 6.731 * [backup-simplify]: Simplify 1/2 into 1/2 6.731 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.731 * [taylor]: Taking taylor expansion of n in M 6.731 * [backup-simplify]: Simplify n into n 6.731 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.731 * [backup-simplify]: Simplify (+ 1 0) into 1 6.731 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 6.731 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 6.731 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.731 * [taylor]: Taking taylor expansion of M in n 6.731 * [backup-simplify]: Simplify M into M 6.731 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.731 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.731 * [taylor]: Taking taylor expansion of 1/2 in n 6.731 * [backup-simplify]: Simplify 1/2 into 1/2 6.731 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.731 * [taylor]: Taking taylor expansion of m in n 6.731 * [backup-simplify]: Simplify m into m 6.731 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.731 * [taylor]: Taking taylor expansion of 1/2 in n 6.731 * [backup-simplify]: Simplify 1/2 into 1/2 6.731 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.731 * [taylor]: Taking taylor expansion of n in n 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 1 into 1 6.732 * [backup-simplify]: Simplify (/ 1 1) into 1 6.732 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.732 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.732 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.733 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.733 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.733 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.733 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.733 * [taylor]: Taking taylor expansion of M in m 6.733 * [backup-simplify]: Simplify M into M 6.733 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.733 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.733 * [taylor]: Taking taylor expansion of 1/2 in m 6.733 * [backup-simplify]: Simplify 1/2 into 1/2 6.733 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.733 * [taylor]: Taking taylor expansion of m in m 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (/ 1 1) into 1 6.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.733 * [taylor]: Taking taylor expansion of 1/2 in m 6.733 * [backup-simplify]: Simplify 1/2 into 1/2 6.733 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.733 * [taylor]: Taking taylor expansion of n in m 6.733 * [backup-simplify]: Simplify n into n 6.733 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.734 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.734 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.734 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.734 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.734 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.734 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.734 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.734 * [taylor]: Taking taylor expansion of M in m 6.735 * [backup-simplify]: Simplify M into M 6.735 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.735 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.735 * [taylor]: Taking taylor expansion of 1/2 in m 6.735 * [backup-simplify]: Simplify 1/2 into 1/2 6.735 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.735 * [taylor]: Taking taylor expansion of m in m 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [backup-simplify]: Simplify (/ 1 1) into 1 6.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.735 * [taylor]: Taking taylor expansion of 1/2 in m 6.735 * [backup-simplify]: Simplify 1/2 into 1/2 6.735 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.735 * [taylor]: Taking taylor expansion of n in m 6.735 * [backup-simplify]: Simplify n into n 6.735 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.735 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.736 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.736 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.736 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.736 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 6.736 * [taylor]: Taking taylor expansion of 1/4 in n 6.736 * [backup-simplify]: Simplify 1/4 into 1/4 6.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.737 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.737 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.737 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 6.738 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 6.738 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.738 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.738 * [taylor]: Taking taylor expansion of 1/2 in n 6.738 * [backup-simplify]: Simplify 1/2 into 1/2 6.738 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.738 * [taylor]: Taking taylor expansion of n in n 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [backup-simplify]: Simplify (/ 1 1) into 1 6.738 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.738 * [taylor]: Taking taylor expansion of M in n 6.738 * [backup-simplify]: Simplify M into M 6.738 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.740 * [backup-simplify]: Simplify (+ 0 0) into 0 6.741 * [backup-simplify]: Simplify (- 0) into 0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.742 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.742 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.742 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.742 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.742 * [taylor]: Taking taylor expansion of M in n 6.743 * [backup-simplify]: Simplify M into M 6.743 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.743 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.743 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.743 * [taylor]: Taking taylor expansion of 1/4 in n 6.743 * [backup-simplify]: Simplify 1/4 into 1/4 6.743 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.743 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.743 * [taylor]: Taking taylor expansion of n in n 6.743 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (* 1 1) into 1 6.744 * [backup-simplify]: Simplify (/ 1 1) into 1 6.744 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.744 * [taylor]: Taking taylor expansion of (* M n) in n 6.744 * [taylor]: Taking taylor expansion of M in n 6.744 * [backup-simplify]: Simplify M into M 6.744 * [taylor]: Taking taylor expansion of n in n 6.744 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify 1 into 1 6.744 * [backup-simplify]: Simplify (* M 0) into 0 6.744 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.744 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.745 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.745 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.746 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.746 * [taylor]: Taking taylor expansion of 1/4 in M 6.746 * [backup-simplify]: Simplify 1/4 into 1/4 6.746 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.747 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.747 * [taylor]: Taking taylor expansion of 1/2 in M 6.747 * [backup-simplify]: Simplify 1/2 into 1/2 6.747 * [taylor]: Taking taylor expansion of 1/4 in M 6.747 * [backup-simplify]: Simplify 1/4 into 1/4 6.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.750 * [backup-simplify]: Simplify (+ 0 0) into 0 6.751 * [backup-simplify]: Simplify (- 0) into 0 6.751 * [backup-simplify]: Simplify (+ 0 0) into 0 6.752 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 6.752 * [taylor]: Taking taylor expansion of 0 in n 6.752 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.755 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.755 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.755 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.755 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.755 * [taylor]: Taking taylor expansion of M in M 6.755 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [backup-simplify]: Simplify (/ 1 1) into 1 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.757 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.757 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.757 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.757 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.757 * [taylor]: Taking taylor expansion of M in M 6.757 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify 1 into 1 6.758 * [backup-simplify]: Simplify (/ 1 1) into 1 6.758 * [taylor]: Taking taylor expansion of 0 in M 6.758 * [backup-simplify]: Simplify 0 into 0 6.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.763 * [backup-simplify]: Simplify (- 0) into 0 6.763 * [backup-simplify]: Simplify (+ 0 0) into 0 6.764 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 6.764 * [taylor]: Taking taylor expansion of 0 in n 6.764 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.767 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.768 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.768 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.769 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.769 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.769 * [taylor]: Taking taylor expansion of M in M 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (* 1 1) into 1 6.769 * [backup-simplify]: Simplify (/ 1 1) into 1 6.769 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.772 * [backup-simplify]: Simplify (- 0) into 0 6.772 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [taylor]: Taking taylor expansion of 0 in M 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [taylor]: Taking taylor expansion of 0 in M 6.772 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (- 1) into -1 6.773 * [backup-simplify]: Simplify -1 into -1 6.773 * [backup-simplify]: Simplify (- 1) into -1 6.773 * [backup-simplify]: Simplify -1 into -1 6.774 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.774 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2 2 1 1) 6.775 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 6.775 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 6.775 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 6.775 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 6.775 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 6.775 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 6.775 * [taylor]: Taking taylor expansion of 1/2 in M 6.775 * [backup-simplify]: Simplify 1/2 into 1/2 6.775 * [taylor]: Taking taylor expansion of m in M 6.775 * [backup-simplify]: Simplify m into m 6.775 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 6.775 * [taylor]: Taking taylor expansion of 1/2 in M 6.775 * [backup-simplify]: Simplify 1/2 into 1/2 6.775 * [taylor]: Taking taylor expansion of n in M 6.775 * [backup-simplify]: Simplify n into n 6.775 * [taylor]: Taking taylor expansion of M in M 6.775 * [backup-simplify]: Simplify 0 into 0 6.775 * [backup-simplify]: Simplify 1 into 1 6.775 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.775 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.775 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 6.776 * [backup-simplify]: Simplify (- 0) into 0 6.776 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 6.776 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 6.776 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 6.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 6.776 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 6.776 * [taylor]: Taking taylor expansion of 1/2 in n 6.776 * [backup-simplify]: Simplify 1/2 into 1/2 6.776 * [taylor]: Taking taylor expansion of m in n 6.776 * [backup-simplify]: Simplify m into m 6.776 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.776 * [taylor]: Taking taylor expansion of 1/2 in n 6.776 * [backup-simplify]: Simplify 1/2 into 1/2 6.776 * [taylor]: Taking taylor expansion of n in n 6.776 * [backup-simplify]: Simplify 0 into 0 6.776 * [backup-simplify]: Simplify 1 into 1 6.776 * [taylor]: Taking taylor expansion of M in n 6.776 * [backup-simplify]: Simplify M into M 6.776 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 6.777 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.777 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 6.777 * [backup-simplify]: Simplify (- M) into (- M) 6.777 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 6.777 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.777 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.777 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.777 * [taylor]: Taking taylor expansion of 1/2 in m 6.777 * [backup-simplify]: Simplify 1/2 into 1/2 6.777 * [taylor]: Taking taylor expansion of m in m 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.777 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.777 * [taylor]: Taking taylor expansion of 1/2 in m 6.777 * [backup-simplify]: Simplify 1/2 into 1/2 6.777 * [taylor]: Taking taylor expansion of n in m 6.777 * [backup-simplify]: Simplify n into n 6.777 * [taylor]: Taking taylor expansion of M in m 6.777 * [backup-simplify]: Simplify M into M 6.778 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.778 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.778 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.778 * [backup-simplify]: Simplify (- M) into (- M) 6.778 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.778 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 6.778 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 6.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 6.778 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 6.778 * [taylor]: Taking taylor expansion of 1/2 in m 6.778 * [backup-simplify]: Simplify 1/2 into 1/2 6.778 * [taylor]: Taking taylor expansion of m in m 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 1 into 1 6.778 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 6.778 * [taylor]: Taking taylor expansion of 1/2 in m 6.778 * [backup-simplify]: Simplify 1/2 into 1/2 6.778 * [taylor]: Taking taylor expansion of n in m 6.778 * [backup-simplify]: Simplify n into n 6.778 * [taylor]: Taking taylor expansion of M in m 6.778 * [backup-simplify]: Simplify M into M 6.779 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.779 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 6.779 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 6.779 * [backup-simplify]: Simplify (- M) into (- M) 6.779 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 6.779 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 6.779 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 6.779 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.779 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.779 * [taylor]: Taking taylor expansion of 1/2 in n 6.779 * [backup-simplify]: Simplify 1/2 into 1/2 6.779 * [taylor]: Taking taylor expansion of n in n 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [taylor]: Taking taylor expansion of M in n 6.780 * [backup-simplify]: Simplify M into M 6.780 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.780 * [backup-simplify]: Simplify (- M) into (- M) 6.780 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.780 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 6.780 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.780 * [taylor]: Taking taylor expansion of M in M 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.781 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 6.782 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.782 * [backup-simplify]: Simplify (- 0) into 0 6.783 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.783 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 6.783 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 6.783 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 6.783 * [taylor]: Taking taylor expansion of 1/2 in n 6.783 * [backup-simplify]: Simplify 1/2 into 1/2 6.783 * [taylor]: Taking taylor expansion of n in n 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 1 into 1 6.783 * [taylor]: Taking taylor expansion of M in n 6.783 * [backup-simplify]: Simplify M into M 6.784 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.784 * [backup-simplify]: Simplify (- M) into (- M) 6.784 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 6.784 * [taylor]: Taking taylor expansion of (- M) in M 6.784 * [taylor]: Taking taylor expansion of M in M 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [backup-simplify]: Simplify (- 0) into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.785 * [backup-simplify]: Simplify (- 0) into 0 6.786 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.786 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 6.786 * [taylor]: Taking taylor expansion of (- M) in M 6.786 * [taylor]: Taking taylor expansion of M in M 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify 1 into 1 6.786 * [backup-simplify]: Simplify (- 0) into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (- 0) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.790 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 6.790 * [taylor]: Taking taylor expansion of 1/4 in n 6.790 * [backup-simplify]: Simplify 1/4 into 1/4 6.790 * [taylor]: Taking taylor expansion of 1/4 in M 6.790 * [backup-simplify]: Simplify 1/4 into 1/4 6.790 * [backup-simplify]: Simplify 1/4 into 1/4 6.791 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.791 * [backup-simplify]: Simplify (- 0) into 0 6.792 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.792 * [taylor]: Taking taylor expansion of 1/2 in M 6.792 * [backup-simplify]: Simplify 1/2 into 1/2 6.792 * [backup-simplify]: Simplify 1/2 into 1/2 6.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.793 * [backup-simplify]: Simplify (- 0) into 0 6.794 * [backup-simplify]: Simplify (+ 0 0) into 0 6.794 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 6.794 * [taylor]: Taking taylor expansion of 1/4 in M 6.794 * [backup-simplify]: Simplify 1/4 into 1/4 6.794 * [backup-simplify]: Simplify 1/4 into 1/4 6.795 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* n 1)) 2)) (+ (* 1/2 (* 1 (* n m))) (* 1/4 (pow (* 1 (* 1 m)) 2)))) into (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) 6.795 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) 6.795 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 6.795 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 6.795 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 6.795 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.795 * [taylor]: Taking taylor expansion of 1/2 in M 6.795 * [backup-simplify]: Simplify 1/2 into 1/2 6.795 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.795 * [taylor]: Taking taylor expansion of m in M 6.795 * [backup-simplify]: Simplify m into m 6.795 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.795 * [taylor]: Taking taylor expansion of 1/2 in M 6.795 * [backup-simplify]: Simplify 1/2 into 1/2 6.796 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.796 * [taylor]: Taking taylor expansion of n in M 6.796 * [backup-simplify]: Simplify n into n 6.796 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.796 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.796 * [taylor]: Taking taylor expansion of M in M 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ 1 1) into 1 6.796 * [backup-simplify]: Simplify (- 1) into -1 6.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.797 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 6.797 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 6.797 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.797 * [taylor]: Taking taylor expansion of 1/2 in n 6.797 * [backup-simplify]: Simplify 1/2 into 1/2 6.797 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.797 * [taylor]: Taking taylor expansion of m in n 6.797 * [backup-simplify]: Simplify m into m 6.797 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.797 * [taylor]: Taking taylor expansion of 1/2 in n 6.797 * [backup-simplify]: Simplify 1/2 into 1/2 6.797 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.797 * [taylor]: Taking taylor expansion of n in n 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.798 * [backup-simplify]: Simplify (/ 1 1) into 1 6.798 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.798 * [taylor]: Taking taylor expansion of M in n 6.798 * [backup-simplify]: Simplify M into M 6.798 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.799 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.799 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.799 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.799 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.799 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.799 * [taylor]: Taking taylor expansion of 1/2 in m 6.799 * [backup-simplify]: Simplify 1/2 into 1/2 6.799 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.799 * [taylor]: Taking taylor expansion of m in m 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (/ 1 1) into 1 6.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.800 * [taylor]: Taking taylor expansion of 1/2 in m 6.800 * [backup-simplify]: Simplify 1/2 into 1/2 6.800 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.800 * [taylor]: Taking taylor expansion of n in m 6.800 * [backup-simplify]: Simplify n into n 6.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.800 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.800 * [taylor]: Taking taylor expansion of M in m 6.800 * [backup-simplify]: Simplify M into M 6.800 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.801 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.802 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 6.802 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 6.802 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.802 * [taylor]: Taking taylor expansion of 1/2 in m 6.802 * [backup-simplify]: Simplify 1/2 into 1/2 6.802 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.802 * [taylor]: Taking taylor expansion of m in m 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 1 into 1 6.802 * [backup-simplify]: Simplify (/ 1 1) into 1 6.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.802 * [taylor]: Taking taylor expansion of 1/2 in m 6.802 * [backup-simplify]: Simplify 1/2 into 1/2 6.802 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.802 * [taylor]: Taking taylor expansion of n in m 6.802 * [backup-simplify]: Simplify n into n 6.802 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.802 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.802 * [taylor]: Taking taylor expansion of M in m 6.802 * [backup-simplify]: Simplify M into M 6.802 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.803 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.803 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.804 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.804 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 6.804 * [taylor]: Taking taylor expansion of 1/4 in n 6.804 * [backup-simplify]: Simplify 1/4 into 1/4 6.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.806 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.806 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.806 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.806 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.806 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.806 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.807 * [taylor]: Taking taylor expansion of 1/2 in n 6.807 * [backup-simplify]: Simplify 1/2 into 1/2 6.807 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.807 * [taylor]: Taking taylor expansion of n in n 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify 1 into 1 6.807 * [backup-simplify]: Simplify (/ 1 1) into 1 6.807 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.807 * [taylor]: Taking taylor expansion of M in n 6.807 * [backup-simplify]: Simplify M into M 6.807 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.810 * [backup-simplify]: Simplify (+ 0 0) into 0 6.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.811 * [backup-simplify]: Simplify (- 0) into 0 6.811 * [backup-simplify]: Simplify (+ 0 0) into 0 6.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.812 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.812 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.812 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.812 * [taylor]: Taking taylor expansion of M in n 6.812 * [backup-simplify]: Simplify M into M 6.812 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.812 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.813 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.813 * [taylor]: Taking taylor expansion of 1/4 in n 6.813 * [backup-simplify]: Simplify 1/4 into 1/4 6.813 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.813 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.813 * [taylor]: Taking taylor expansion of n in n 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (* 1 1) into 1 6.813 * [backup-simplify]: Simplify (/ 1 1) into 1 6.813 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.813 * [taylor]: Taking taylor expansion of (* M n) in n 6.814 * [taylor]: Taking taylor expansion of M in n 6.814 * [backup-simplify]: Simplify M into M 6.814 * [taylor]: Taking taylor expansion of n in n 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (* M 0) into 0 6.814 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.814 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.815 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.815 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.815 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.815 * [taylor]: Taking taylor expansion of 1/4 in M 6.815 * [backup-simplify]: Simplify 1/4 into 1/4 6.816 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.816 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.816 * [taylor]: Taking taylor expansion of 1/2 in M 6.816 * [backup-simplify]: Simplify 1/2 into 1/2 6.816 * [taylor]: Taking taylor expansion of 1/4 in M 6.816 * [backup-simplify]: Simplify 1/4 into 1/4 6.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.820 * [backup-simplify]: Simplify (+ 0 0) into 0 6.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.821 * [backup-simplify]: Simplify (- 0) into 0 6.821 * [backup-simplify]: Simplify (+ 0 0) into 0 6.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 6.822 * [taylor]: Taking taylor expansion of 0 in n 6.822 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (+ 0 0) into 0 6.825 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.825 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.825 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.825 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.825 * [taylor]: Taking taylor expansion of M in M 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (/ 1 1) into 1 6.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.827 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.827 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.827 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.827 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.827 * [taylor]: Taking taylor expansion of M in M 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (/ 1 1) into 1 6.828 * [taylor]: Taking taylor expansion of 0 in M 6.828 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.832 * [backup-simplify]: Simplify (+ 0 0) into 0 6.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.833 * [backup-simplify]: Simplify (- 0) into 0 6.833 * [backup-simplify]: Simplify (+ 0 0) into 0 6.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 6.834 * [taylor]: Taking taylor expansion of 0 in n 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.838 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.838 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.839 * [backup-simplify]: Simplify (- 0) into 0 6.839 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.839 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.839 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.839 * [taylor]: Taking taylor expansion of M in M 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [backup-simplify]: Simplify (* 1 1) into 1 6.840 * [backup-simplify]: Simplify (/ 1 1) into 1 6.840 * [backup-simplify]: Simplify 1 into 1 6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.842 * [backup-simplify]: Simplify (- 0) into 0 6.843 * [backup-simplify]: Simplify (+ 0 0) into 0 6.843 * [taylor]: Taking taylor expansion of 0 in M 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [taylor]: Taking taylor expansion of 0 in M 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify (- 1) into -1 6.843 * [backup-simplify]: Simplify -1 into -1 6.844 * [backup-simplify]: Simplify (- 1) into -1 6.844 * [backup-simplify]: Simplify -1 into -1 6.845 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m))))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.845 * [backup-simplify]: Simplify (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) 6.845 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 6.845 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 6.845 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 6.845 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.845 * [taylor]: Taking taylor expansion of M in M 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.846 * [backup-simplify]: Simplify (/ 1 1) into 1 6.846 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 6.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 6.846 * [taylor]: Taking taylor expansion of 1/2 in M 6.846 * [backup-simplify]: Simplify 1/2 into 1/2 6.846 * [taylor]: Taking taylor expansion of (/ 1 m) in M 6.846 * [taylor]: Taking taylor expansion of m in M 6.846 * [backup-simplify]: Simplify m into m 6.846 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 6.846 * [taylor]: Taking taylor expansion of 1/2 in M 6.846 * [backup-simplify]: Simplify 1/2 into 1/2 6.846 * [taylor]: Taking taylor expansion of (/ 1 n) in M 6.846 * [taylor]: Taking taylor expansion of n in M 6.846 * [backup-simplify]: Simplify n into n 6.846 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.847 * [backup-simplify]: Simplify (+ 1 0) into 1 6.847 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 6.847 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 6.847 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.847 * [taylor]: Taking taylor expansion of M in n 6.847 * [backup-simplify]: Simplify M into M 6.847 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.847 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 6.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 6.847 * [taylor]: Taking taylor expansion of 1/2 in n 6.847 * [backup-simplify]: Simplify 1/2 into 1/2 6.847 * [taylor]: Taking taylor expansion of (/ 1 m) in n 6.847 * [taylor]: Taking taylor expansion of m in n 6.847 * [backup-simplify]: Simplify m into m 6.847 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 6.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.847 * [taylor]: Taking taylor expansion of 1/2 in n 6.847 * [backup-simplify]: Simplify 1/2 into 1/2 6.847 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.847 * [taylor]: Taking taylor expansion of n in n 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 1 into 1 6.848 * [backup-simplify]: Simplify (/ 1 1) into 1 6.848 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.849 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 6.849 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.849 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.849 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.849 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.849 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.849 * [taylor]: Taking taylor expansion of M in m 6.850 * [backup-simplify]: Simplify M into M 6.850 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.850 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.850 * [taylor]: Taking taylor expansion of 1/2 in m 6.850 * [backup-simplify]: Simplify 1/2 into 1/2 6.850 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.850 * [taylor]: Taking taylor expansion of m in m 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [backup-simplify]: Simplify (/ 1 1) into 1 6.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.850 * [taylor]: Taking taylor expansion of 1/2 in m 6.850 * [backup-simplify]: Simplify 1/2 into 1/2 6.850 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.850 * [taylor]: Taking taylor expansion of n in m 6.850 * [backup-simplify]: Simplify n into n 6.850 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.851 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.851 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.852 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.852 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.852 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 6.852 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 6.852 * [taylor]: Taking taylor expansion of (/ 1 M) in m 6.852 * [taylor]: Taking taylor expansion of M in m 6.852 * [backup-simplify]: Simplify M into M 6.852 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.852 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 6.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 6.852 * [taylor]: Taking taylor expansion of 1/2 in m 6.852 * [backup-simplify]: Simplify 1/2 into 1/2 6.852 * [taylor]: Taking taylor expansion of (/ 1 m) in m 6.852 * [taylor]: Taking taylor expansion of m in m 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.853 * [backup-simplify]: Simplify (/ 1 1) into 1 6.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 6.853 * [taylor]: Taking taylor expansion of 1/2 in m 6.853 * [backup-simplify]: Simplify 1/2 into 1/2 6.853 * [taylor]: Taking taylor expansion of (/ 1 n) in m 6.853 * [taylor]: Taking taylor expansion of n in m 6.853 * [backup-simplify]: Simplify n into n 6.853 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.853 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.854 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.854 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.855 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 6.855 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 6.855 * [taylor]: Taking taylor expansion of 1/4 in n 6.855 * [backup-simplify]: Simplify 1/4 into 1/4 6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.857 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 6.857 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 6.857 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 6.857 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 6.858 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 6.858 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 6.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 6.858 * [taylor]: Taking taylor expansion of 1/2 in n 6.858 * [backup-simplify]: Simplify 1/2 into 1/2 6.858 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.858 * [taylor]: Taking taylor expansion of n in n 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [backup-simplify]: Simplify (/ 1 1) into 1 6.858 * [taylor]: Taking taylor expansion of (/ 1 M) in n 6.858 * [taylor]: Taking taylor expansion of M in n 6.858 * [backup-simplify]: Simplify M into M 6.858 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.865 * [backup-simplify]: Simplify (+ 0 0) into 0 6.866 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 6.866 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 6.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 6.866 * [taylor]: Taking taylor expansion of (pow M 2) in n 6.866 * [taylor]: Taking taylor expansion of M in n 6.866 * [backup-simplify]: Simplify M into M 6.866 * [backup-simplify]: Simplify (* M M) into (pow M 2) 6.866 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 6.866 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 6.866 * [taylor]: Taking taylor expansion of 1/4 in n 6.866 * [backup-simplify]: Simplify 1/4 into 1/4 6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 6.866 * [taylor]: Taking taylor expansion of (pow n 2) in n 6.866 * [taylor]: Taking taylor expansion of n in n 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (* 1 1) into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.867 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 6.867 * [taylor]: Taking taylor expansion of (* M n) in n 6.867 * [taylor]: Taking taylor expansion of M in n 6.867 * [backup-simplify]: Simplify M into M 6.867 * [taylor]: Taking taylor expansion of n in n 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (* M 0) into 0 6.868 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 6.868 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 6.868 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 6.869 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 6.869 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 6.869 * [taylor]: Taking taylor expansion of 1/4 in M 6.869 * [backup-simplify]: Simplify 1/4 into 1/4 6.870 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.870 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.870 * [taylor]: Taking taylor expansion of 1/2 in M 6.870 * [backup-simplify]: Simplify 1/2 into 1/2 6.870 * [taylor]: Taking taylor expansion of 1/4 in M 6.870 * [backup-simplify]: Simplify 1/4 into 1/4 6.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 6.874 * [backup-simplify]: Simplify (+ 0 0) into 0 6.874 * [backup-simplify]: Simplify (- 0) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.876 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 6.876 * [taylor]: Taking taylor expansion of 0 in n 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.878 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.878 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.878 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.878 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.878 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.878 * [taylor]: Taking taylor expansion of M in M 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.879 * [backup-simplify]: Simplify (/ 1 1) into 1 6.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.880 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 6.881 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 6.881 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 6.881 * [taylor]: Taking taylor expansion of (/ 1 M) in M 6.881 * [taylor]: Taking taylor expansion of M in M 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (/ 1 1) into 1 6.881 * [taylor]: Taking taylor expansion of 0 in M 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 6.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 6.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 6.886 * [backup-simplify]: Simplify (+ 0 0) into 0 6.886 * [backup-simplify]: Simplify (- 0) into 0 6.886 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 6.888 * [taylor]: Taking taylor expansion of 0 in n 6.888 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 6.891 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.891 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 6.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.892 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 6.892 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 6.892 * [taylor]: Taking taylor expansion of (pow M 2) in M 6.892 * [taylor]: Taking taylor expansion of M in M 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 1 into 1 6.892 * [backup-simplify]: Simplify (* 1 1) into 1 6.892 * [backup-simplify]: Simplify (/ 1 1) into 1 6.892 * [backup-simplify]: Simplify 1 into 1 6.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 6.894 * [backup-simplify]: Simplify (- 0) into 0 6.895 * [backup-simplify]: Simplify (+ 0 0) into 0 6.895 * [taylor]: Taking taylor expansion of 0 in M 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [taylor]: Taking taylor expansion of 0 in M 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify (- 1) into -1 6.895 * [backup-simplify]: Simplify -1 into -1 6.896 * [backup-simplify]: Simplify (- 1) into -1 6.896 * [backup-simplify]: Simplify -1 into -1 6.897 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m)))))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 1)) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 6.897 * * * [progress]: simplifying candidates 6.897 * * * * [progress]: [ 1 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) 1)))) 1))> 6.897 * * * * [progress]: [ 2 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))) 1))> 6.897 * * * * [progress]: [ 3 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))) 1))> 6.897 * * * * [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))))))))) 1))> 6.897 * * * * [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))))))))) 1))> 6.897 * * * * [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))))))))) 1))> 6.897 * * * * [progress]: [ 7 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.897 * * * * [progress]: [ 8 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))) 1))> 6.897 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 6.897 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (+ 1 1))))))) 1))> 6.898 * * * * [progress]: [ 11 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1)))))) 1))> 6.898 * * * * [progress]: [ 12 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) 2)))))) 1))> 6.898 * * * * [progress]: [ 13 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (+ 1 1))))))) 1))> 6.898 * * * * [progress]: [ 14 / 64 ] simplifiying candidate #real (real->posit16 (pow (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 1)))))) 1))> 6.898 * * * * [progress]: [ 15 / 64 ] simplifiying candidate #real (real->posit16 (exp (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))))))))) 1))> 6.898 * * * * [progress]: [ 16 / 64 ] simplifiying candidate #real (real->posit16 (exp (log (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))) 1))> 6.898 * * * * [progress]: [ 17 / 64 ] simplifiying candidate #real (real->posit16 (log (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))) 1))> 6.898 * * * * [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))))))))) 1))> 6.898 * * * * [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))))))))) 1))> 6.898 * * * * [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))))))))) 1))> 6.898 * * * * [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))))))))) 1))> 6.898 * * * * [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)))))))))) 1))> 6.898 * * * * [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)))))))) 1))> 6.898 * * * * [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)))))))))) 1))> 6.899 * * * * [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)))))))) 1))> 6.899 * * * * [progress]: [ 26 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.899 * * * * [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))))))))) 1))> 6.899 * * * * [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))))))))) 1))> 6.899 * * * * [progress]: [ 29 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.899 * * * * [progress]: [ 30 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.899 * * * * [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))))))))) 1))> 6.899 * * * * [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))))))))) 1))> 6.899 * * * * [progress]: [ 33 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.899 * * * * [progress]: [ 34 / 64 ] simplifiying candidate #real (real->posit16 (* (* 1 1) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.899 * * * * [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))))))))) 1))> 6.899 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #real (real->posit16 (pow (- (/ (+ m n) 2) M) (* 2 1))))))) 1))> 6.899 * * * * [progress]: [ 37 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)))))))) 1))> 6.900 * * * * [progress]: [ 38 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- (/ (+ m n) 2) M) (- M)))))))) 1))> 6.900 * * * * [progress]: [ 39 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)))))))) 1))> 6.900 * * * * [progress]: [ 40 / 64 ] simplifiying candidate #real (real->posit16 (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* (- M) (- (/ (+ m n) 2) M)))))))) 1))> 6.900 * * * * [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)))))))) 1))> 6.900 * * * * [progress]: [ 42 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ m n) 2) M)))))))) 1))> 6.900 * * * * [progress]: [ 43 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M))))))) 1))> 6.900 * * * * [progress]: [ 44 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) (+ (sqrt (/ (+ m n) 2)) (sqrt M))) (- (sqrt (/ (+ m n) 2)) (sqrt M)))))))) 1))> 6.900 * * * * [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)))))))) 1))> 6.900 * * * * [progress]: [ 46 / 64 ] simplifiying candidate #real (real->posit16 (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ m n) 2) M))))))) 1))> 6.900 * * * * [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)))))))) 1))> 6.900 * * * * [progress]: [ 48 / 64 ] simplifiying candidate #real (real->posit16 (* (sqrt (- (/ (+ m n) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))))) 1))> 6.900 * * * * [progress]: [ 49 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.900 * * * * [progress]: [ 50 / 64 ] simplifiying candidate #real (real->posit16 (* (+ (sqrt (/ (+ m n) 2)) (sqrt M)) (* (- (sqrt (/ (+ m n) 2)) (sqrt M)) (- (/ (+ m n) 2) M)))))))) 1))> 6.900 * * * * [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)))))))) 1))> 6.901 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (* 1 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) 1))> 6.901 * * * * [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))))))))) 1))> 6.901 * * * * [progress]: [ 54 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ (/ (+ m n) 2) M))))))) 1))> 6.901 * * * * [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))))))))) 1))> 6.901 * * * * [progress]: [ 56 / 64 ] simplifiying candidate #real (real->posit16 (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) (+ (/ (+ m n) 2) M))))))) 1))> 6.901 * * * * [progress]: [ 57 / 64 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))))) 1))> 6.901 * * * * [progress]: [ 58 / 64 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))> 6.901 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 6.901 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 6.901 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 6.901 * * * * [progress]: [ 62 / 64 ] simplifiying candidate #real (real->posit16 (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2))))))))) 1))> 6.901 * * * * [progress]: [ 63 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n)))))))) 1))> 6.901 * * * * [progress]: [ 64 / 64 ] simplifiying candidate #real (real->posit16 (- (pow M 2) (+ (* m M) (* M n)))))))) 1))> 6.903 * [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))) 6.905 * * [simplify]: iteration 1: (103 enodes) 6.957 * * [simplify]: iteration 2: (465 enodes) 7.108 * * [simplify]: iteration 3: (1229 enodes) 7.588 * * [simplify]: Extracting #0: cost 35 inf + 0 7.588 * * [simplify]: Extracting #1: cost 352 inf + 2 7.591 * * [simplify]: Extracting #2: cost 907 inf + 6 7.595 * * [simplify]: Extracting #3: cost 1059 inf + 2696 7.616 * * [simplify]: Extracting #4: cost 703 inf + 79822 7.679 * * [simplify]: Extracting #5: cost 124 inf + 255604 7.774 * * [simplify]: Extracting #6: cost 1 inf + 290493 7.870 * * [simplify]: Extracting #7: cost 0 inf + 287182 7.969 * * [simplify]: Extracting #8: cost 0 inf + 287022 8.070 * [simplify]: Simplified to (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))), (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (fabs (- (/ (+ n m) 2) M)), (fabs (- (/ (+ n m) 2) M)), (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) (- (/ (+ n m) 2) M))), (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))), (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (fabs (- (/ (+ n m) 2) M)), (fabs (- (/ (+ n m) 2) M)), (* (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* M (* M M))) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* M (* M M)))), (* (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2)))) (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))))), (* (- (/ (* (+ n m) (+ n m)) 4) (* M M)) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* M (* M M)))), (* (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2)))) (+ M (/ (+ n m) 2))), (* (- (/ (* (+ n m) (+ n m)) 4) (* M M)) (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* M (* M M)))), (* (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2)))) (+ M (/ (+ n m) 2))), (* (- (/ (* (+ n m) (+ n m)) 4) (* M M)) (- (/ (* (+ n m) (+ n m)) 4) (* M M))), (* (+ 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 (+ 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)), (- (* (- (/ (+ n m) 2) M) M)), (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (- (* (- (/ (+ n m) 2) M) M)), (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (- (* (- (/ (+ n m) 2) M) M)), (* (- (/ (+ n m) 2) M) (/ (+ n m) 2)), (- (* (- (/ (+ n m) 2) M) M)), (* (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))), (* (- (/ (+ n m) 2) M) (+ (/ (sqrt (+ n m)) (sqrt 2)) (sqrt M))), (- (/ (+ n m) 2) M), (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)), (* (- (/ (+ n m) 2) M) (sqrt (- (/ (+ n m) 2) M))), (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), (* (- (/ (+ 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) (+ n m)) (+ n m)) 8) (* M (* M M))) (- (/ (+ n m) 2) M)), (* (+ M (/ (+ n m) 2)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (- (/ (* (* (+ n m) (+ n m)) (+ n m)) 8) (* 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))), (+ (* (* 1/4 m) m) (* n (+ (* m 1/2) (* n 1/4)))), (* M (- (- M m) n)), (* M (- (- M m) n)), (+ (* (* 1/4 m) m) (* n (+ (* m 1/2) (* n 1/4)))), (* M (- (- M m) n)), (* M (- (- M m) n)) 8.086 * * * [progress]: adding candidates to table 9.747 * * [progress]: iteration 4 / 4 9.747 * * * [progress]: picking best candidate 9.785 * * * * [pick]: Picked #real (real->posit16 (* (+ m n) K))) 2) M))))> 9.785 * * * [progress]: localizing error 9.865 * * * [progress]: generating rewritten candidates 9.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 9.865 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 9.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 10.026 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) 10.041 * * * [progress]: generating series expansions 10.041 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 10.042 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (+ m n) K))) into (* K (+ m n)) 10.042 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 10.042 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 10.042 * [taylor]: Taking taylor expansion of K in K 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of (+ m n) in K 10.042 * [taylor]: Taking taylor expansion of m in K 10.042 * [backup-simplify]: Simplify m into m 10.042 * [taylor]: Taking taylor expansion of n in K 10.042 * [backup-simplify]: Simplify n into n 10.042 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 10.042 * [taylor]: Taking taylor expansion of K in n 10.042 * [backup-simplify]: Simplify K into K 10.042 * [taylor]: Taking taylor expansion of (+ m n) in n 10.042 * [taylor]: Taking taylor expansion of m in n 10.042 * [backup-simplify]: Simplify m into m 10.042 * [taylor]: Taking taylor expansion of n in n 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 10.042 * [taylor]: Taking taylor expansion of K in m 10.042 * [backup-simplify]: Simplify K into K 10.042 * [taylor]: Taking taylor expansion of (+ m n) in m 10.042 * [taylor]: Taking taylor expansion of m in m 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of n in m 10.042 * [backup-simplify]: Simplify n into n 10.042 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 10.042 * [taylor]: Taking taylor expansion of K in m 10.042 * [backup-simplify]: Simplify K into K 10.042 * [taylor]: Taking taylor expansion of (+ m n) in m 10.042 * [taylor]: Taking taylor expansion of m in m 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [taylor]: Taking taylor expansion of n in m 10.042 * [backup-simplify]: Simplify n into n 10.042 * [backup-simplify]: Simplify (+ 0 n) into n 10.042 * [backup-simplify]: Simplify (* K n) into (* K n) 10.042 * [taylor]: Taking taylor expansion of (* K n) in n 10.042 * [taylor]: Taking taylor expansion of K in n 10.042 * [backup-simplify]: Simplify K into K 10.042 * [taylor]: Taking taylor expansion of n in n 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* K 0) into 0 10.042 * [taylor]: Taking taylor expansion of 0 in K 10.042 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify (+ 1 0) into 1 10.043 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 10.043 * [taylor]: Taking taylor expansion of K in n 10.043 * [backup-simplify]: Simplify K into K 10.043 * [taylor]: Taking taylor expansion of K in K 10.043 * [backup-simplify]: Simplify 0 into 0 10.043 * [backup-simplify]: Simplify 1 into 1 10.043 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.044 * [taylor]: Taking taylor expansion of K in K 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify (+ 0 0) into 0 10.044 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 10.044 * [taylor]: Taking taylor expansion of 0 in n 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [taylor]: Taking taylor expansion of 0 in K 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [taylor]: Taking taylor expansion of 0 in K 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)))) into (/ (+ (/ 1 m) (/ 1 n)) K) 10.045 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 10.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 10.045 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 10.045 * [taylor]: Taking taylor expansion of (/ 1 m) in K 10.045 * [taylor]: Taking taylor expansion of m in K 10.045 * [backup-simplify]: Simplify m into m 10.045 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.045 * [taylor]: Taking taylor expansion of (/ 1 n) in K 10.045 * [taylor]: Taking taylor expansion of n in K 10.045 * [backup-simplify]: Simplify n into n 10.045 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.045 * [taylor]: Taking taylor expansion of K in K 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 1 into 1 10.045 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 10.045 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 10.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 10.045 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 10.045 * [taylor]: Taking taylor expansion of (/ 1 m) in n 10.045 * [taylor]: Taking taylor expansion of m in n 10.045 * [backup-simplify]: Simplify m into m 10.045 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.045 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.045 * [taylor]: Taking taylor expansion of n in n 10.045 * [backup-simplify]: Simplify 0 into 0 10.045 * [backup-simplify]: Simplify 1 into 1 10.046 * [backup-simplify]: Simplify (/ 1 1) into 1 10.046 * [taylor]: Taking taylor expansion of K in n 10.046 * [backup-simplify]: Simplify K into K 10.046 * [backup-simplify]: Simplify (+ 0 1) into 1 10.046 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.046 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.046 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.046 * [taylor]: Taking taylor expansion of m in m 10.046 * [backup-simplify]: Simplify 0 into 0 10.046 * [backup-simplify]: Simplify 1 into 1 10.047 * [backup-simplify]: Simplify (/ 1 1) into 1 10.047 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.047 * [taylor]: Taking taylor expansion of n in m 10.047 * [backup-simplify]: Simplify n into n 10.047 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.047 * [taylor]: Taking taylor expansion of K in m 10.047 * [backup-simplify]: Simplify K into K 10.048 * [backup-simplify]: Simplify (+ 1 0) into 1 10.048 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.048 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.048 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.048 * [taylor]: Taking taylor expansion of m in m 10.048 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify 1 into 1 10.048 * [backup-simplify]: Simplify (/ 1 1) into 1 10.048 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.048 * [taylor]: Taking taylor expansion of n in m 10.048 * [backup-simplify]: Simplify n into n 10.048 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.048 * [taylor]: Taking taylor expansion of K in m 10.048 * [backup-simplify]: Simplify K into K 10.048 * [backup-simplify]: Simplify (+ 1 0) into 1 10.048 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.049 * [taylor]: Taking taylor expansion of (/ 1 K) in n 10.049 * [taylor]: Taking taylor expansion of K in n 10.049 * [backup-simplify]: Simplify K into K 10.049 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.049 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 10.049 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.049 * [taylor]: Taking taylor expansion of (* K n) in n 10.049 * [taylor]: Taking taylor expansion of K in n 10.049 * [backup-simplify]: Simplify K into K 10.049 * [taylor]: Taking taylor expansion of n in n 10.049 * [backup-simplify]: Simplify 0 into 0 10.049 * [backup-simplify]: Simplify 1 into 1 10.049 * [backup-simplify]: Simplify (* K 0) into 0 10.050 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.050 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.050 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.050 * [taylor]: Taking taylor expansion of K in K 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify 1 into 1 10.050 * [backup-simplify]: Simplify (/ 1 1) into 1 10.050 * [backup-simplify]: Simplify 1 into 1 10.050 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.050 * [taylor]: Taking taylor expansion of K in K 10.050 * [backup-simplify]: Simplify 0 into 0 10.050 * [backup-simplify]: Simplify 1 into 1 10.050 * [backup-simplify]: Simplify (/ 1 1) into 1 10.050 * [backup-simplify]: Simplify 1 into 1 10.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.051 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 10.051 * [taylor]: Taking taylor expansion of 0 in n 10.051 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.052 * [taylor]: Taking taylor expansion of 0 in K 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.052 * [taylor]: Taking taylor expansion of 0 in K 10.052 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.054 * [backup-simplify]: Simplify (+ 0 0) into 0 10.054 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.054 * [taylor]: Taking taylor expansion of 0 in n 10.054 * [backup-simplify]: Simplify 0 into 0 10.054 * [taylor]: Taking taylor expansion of 0 in K 10.054 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.055 * [taylor]: Taking taylor expansion of 0 in K 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.055 * [taylor]: Taking taylor expansion of 0 in K 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 10.056 * [backup-simplify]: Simplify (posit16->real (real->posit16 (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))))) into (/ (+ (/ 1 m) (/ 1 n)) K) 10.056 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 10.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 10.056 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 10.056 * [taylor]: Taking taylor expansion of (/ 1 m) in K 10.056 * [taylor]: Taking taylor expansion of m in K 10.056 * [backup-simplify]: Simplify m into m 10.056 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.057 * [taylor]: Taking taylor expansion of (/ 1 n) in K 10.057 * [taylor]: Taking taylor expansion of n in K 10.057 * [backup-simplify]: Simplify n into n 10.057 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.057 * [taylor]: Taking taylor expansion of K in K 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 10.057 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 10.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 10.057 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 10.057 * [taylor]: Taking taylor expansion of (/ 1 m) in n 10.057 * [taylor]: Taking taylor expansion of m in n 10.057 * [backup-simplify]: Simplify m into m 10.057 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.057 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.057 * [taylor]: Taking taylor expansion of n in n 10.057 * [backup-simplify]: Simplify 0 into 0 10.057 * [backup-simplify]: Simplify 1 into 1 10.057 * [backup-simplify]: Simplify (/ 1 1) into 1 10.057 * [taylor]: Taking taylor expansion of K in n 10.057 * [backup-simplify]: Simplify K into K 10.057 * [backup-simplify]: Simplify (+ 0 1) into 1 10.058 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.058 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.058 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.058 * [taylor]: Taking taylor expansion of m in m 10.058 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify 1 into 1 10.058 * [backup-simplify]: Simplify (/ 1 1) into 1 10.058 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.058 * [taylor]: Taking taylor expansion of n in m 10.058 * [backup-simplify]: Simplify n into n 10.058 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.058 * [taylor]: Taking taylor expansion of K in m 10.058 * [backup-simplify]: Simplify K into K 10.058 * [backup-simplify]: Simplify (+ 1 0) into 1 10.058 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.058 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.058 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.058 * [taylor]: Taking taylor expansion of m in m 10.058 * [backup-simplify]: Simplify 0 into 0 10.058 * [backup-simplify]: Simplify 1 into 1 10.059 * [backup-simplify]: Simplify (/ 1 1) into 1 10.059 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.059 * [taylor]: Taking taylor expansion of n in m 10.059 * [backup-simplify]: Simplify n into n 10.059 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.059 * [taylor]: Taking taylor expansion of K in m 10.059 * [backup-simplify]: Simplify K into K 10.059 * [backup-simplify]: Simplify (+ 1 0) into 1 10.059 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.059 * [taylor]: Taking taylor expansion of (/ 1 K) in n 10.059 * [taylor]: Taking taylor expansion of K in n 10.059 * [backup-simplify]: Simplify K into K 10.059 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.060 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.060 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 10.060 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.060 * [taylor]: Taking taylor expansion of (* K n) in n 10.060 * [taylor]: Taking taylor expansion of K in n 10.060 * [backup-simplify]: Simplify K into K 10.060 * [taylor]: Taking taylor expansion of n in n 10.060 * [backup-simplify]: Simplify 0 into 0 10.060 * [backup-simplify]: Simplify 1 into 1 10.060 * [backup-simplify]: Simplify (* K 0) into 0 10.060 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.060 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.060 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.060 * [taylor]: Taking taylor expansion of K in K 10.060 * [backup-simplify]: Simplify 0 into 0 10.060 * [backup-simplify]: Simplify 1 into 1 10.061 * [backup-simplify]: Simplify (/ 1 1) into 1 10.061 * [backup-simplify]: Simplify 1 into 1 10.061 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.061 * [taylor]: Taking taylor expansion of K in K 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify 1 into 1 10.061 * [backup-simplify]: Simplify (/ 1 1) into 1 10.061 * [backup-simplify]: Simplify 1 into 1 10.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.062 * [backup-simplify]: Simplify (+ 0 0) into 0 10.062 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 10.062 * [taylor]: Taking taylor expansion of 0 in n 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.063 * [taylor]: Taking taylor expansion of 0 in K 10.063 * [backup-simplify]: Simplify 0 into 0 10.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.063 * [taylor]: Taking taylor expansion of 0 in K 10.063 * [backup-simplify]: Simplify 0 into 0 10.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.063 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify 0 into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.065 * [backup-simplify]: Simplify (+ 0 0) into 0 10.065 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.065 * [taylor]: Taking taylor expansion of 0 in n 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [taylor]: Taking taylor expansion of 0 in K 10.065 * [backup-simplify]: Simplify 0 into 0 10.065 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.066 * [taylor]: Taking taylor expansion of 0 in K 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.066 * [taylor]: Taking taylor expansion of 0 in K 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.066 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 10.067 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 10.067 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 10.067 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (m n K M) around 0 10.067 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 10.067 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 10.067 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 10.067 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 10.067 * [taylor]: Taking taylor expansion of 1/2 in M 10.068 * [backup-simplify]: Simplify 1/2 into 1/2 10.068 * [taylor]: Taking taylor expansion of (* K n) in M 10.068 * [taylor]: Taking taylor expansion of K in M 10.068 * [backup-simplify]: Simplify K into K 10.068 * [taylor]: Taking taylor expansion of n in M 10.068 * [backup-simplify]: Simplify n into n 10.068 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 10.068 * [taylor]: Taking taylor expansion of 1/2 in M 10.068 * [backup-simplify]: Simplify 1/2 into 1/2 10.068 * [taylor]: Taking taylor expansion of (* K m) in M 10.068 * [taylor]: Taking taylor expansion of K in M 10.068 * [backup-simplify]: Simplify K into K 10.068 * [taylor]: Taking taylor expansion of m in M 10.068 * [backup-simplify]: Simplify m into m 10.068 * [taylor]: Taking taylor expansion of M in M 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (* K n) into (* K n) 10.068 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 10.068 * [backup-simplify]: Simplify (* K m) into (* K m) 10.068 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 10.068 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 10.068 * [backup-simplify]: Simplify (- 0) into 0 10.068 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 10.068 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 10.069 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 10.069 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 10.069 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 10.069 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 10.069 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 10.069 * [taylor]: Taking taylor expansion of 1/2 in K 10.069 * [backup-simplify]: Simplify 1/2 into 1/2 10.069 * [taylor]: Taking taylor expansion of (* K n) in K 10.069 * [taylor]: Taking taylor expansion of K in K 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.069 * [taylor]: Taking taylor expansion of n in K 10.069 * [backup-simplify]: Simplify n into n 10.069 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 10.069 * [taylor]: Taking taylor expansion of 1/2 in K 10.069 * [backup-simplify]: Simplify 1/2 into 1/2 10.069 * [taylor]: Taking taylor expansion of (* K m) in K 10.069 * [taylor]: Taking taylor expansion of K in K 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 1 into 1 10.069 * [taylor]: Taking taylor expansion of m in K 10.069 * [backup-simplify]: Simplify m into m 10.069 * [taylor]: Taking taylor expansion of M in K 10.069 * [backup-simplify]: Simplify M into M 10.069 * [backup-simplify]: Simplify (* 0 n) into 0 10.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.069 * [backup-simplify]: Simplify (* 0 m) into 0 10.070 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.070 * [backup-simplify]: Simplify (+ 0 0) into 0 10.070 * [backup-simplify]: Simplify (- M) into (- M) 10.070 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.070 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.070 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.070 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 10.070 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 10.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 10.070 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 10.070 * [taylor]: Taking taylor expansion of 1/2 in n 10.070 * [backup-simplify]: Simplify 1/2 into 1/2 10.070 * [taylor]: Taking taylor expansion of (* K n) in n 10.070 * [taylor]: Taking taylor expansion of K in n 10.070 * [backup-simplify]: Simplify K into K 10.070 * [taylor]: Taking taylor expansion of n in n 10.070 * [backup-simplify]: Simplify 0 into 0 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 10.070 * [taylor]: Taking taylor expansion of 1/2 in n 10.070 * [backup-simplify]: Simplify 1/2 into 1/2 10.070 * [taylor]: Taking taylor expansion of (* K m) in n 10.070 * [taylor]: Taking taylor expansion of K in n 10.070 * [backup-simplify]: Simplify K into K 10.070 * [taylor]: Taking taylor expansion of m in n 10.070 * [backup-simplify]: Simplify m into m 10.070 * [taylor]: Taking taylor expansion of M in n 10.070 * [backup-simplify]: Simplify M into M 10.070 * [backup-simplify]: Simplify (* K 0) into 0 10.071 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.071 * [backup-simplify]: Simplify (* K m) into (* K m) 10.071 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 10.071 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 10.071 * [backup-simplify]: Simplify (- M) into (- M) 10.071 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 10.071 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 10.071 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 10.071 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 10.071 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 10.071 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 10.071 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 10.071 * [taylor]: Taking taylor expansion of 1/2 in m 10.071 * [backup-simplify]: Simplify 1/2 into 1/2 10.071 * [taylor]: Taking taylor expansion of (* K n) in m 10.071 * [taylor]: Taking taylor expansion of K in m 10.071 * [backup-simplify]: Simplify K into K 10.071 * [taylor]: Taking taylor expansion of n in m 10.071 * [backup-simplify]: Simplify n into n 10.071 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 10.071 * [taylor]: Taking taylor expansion of 1/2 in m 10.071 * [backup-simplify]: Simplify 1/2 into 1/2 10.071 * [taylor]: Taking taylor expansion of (* K m) in m 10.071 * [taylor]: Taking taylor expansion of K in m 10.071 * [backup-simplify]: Simplify K into K 10.071 * [taylor]: Taking taylor expansion of m in m 10.071 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [taylor]: Taking taylor expansion of M in m 10.071 * [backup-simplify]: Simplify M into M 10.071 * [backup-simplify]: Simplify (* K n) into (* K n) 10.071 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 10.071 * [backup-simplify]: Simplify (* K 0) into 0 10.072 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.072 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 10.072 * [backup-simplify]: Simplify (- M) into (- M) 10.072 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 10.072 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 10.072 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 10.072 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 10.072 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 10.072 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 10.072 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 10.072 * [taylor]: Taking taylor expansion of 1/2 in m 10.072 * [backup-simplify]: Simplify 1/2 into 1/2 10.072 * [taylor]: Taking taylor expansion of (* K n) in m 10.072 * [taylor]: Taking taylor expansion of K in m 10.072 * [backup-simplify]: Simplify K into K 10.072 * [taylor]: Taking taylor expansion of n in m 10.072 * [backup-simplify]: Simplify n into n 10.072 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 10.072 * [taylor]: Taking taylor expansion of 1/2 in m 10.072 * [backup-simplify]: Simplify 1/2 into 1/2 10.072 * [taylor]: Taking taylor expansion of (* K m) in m 10.072 * [taylor]: Taking taylor expansion of K in m 10.072 * [backup-simplify]: Simplify K into K 10.072 * [taylor]: Taking taylor expansion of m in m 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 1 into 1 10.072 * [taylor]: Taking taylor expansion of M in m 10.072 * [backup-simplify]: Simplify M into M 10.072 * [backup-simplify]: Simplify (* K n) into (* K n) 10.072 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 10.072 * [backup-simplify]: Simplify (* K 0) into 0 10.073 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.073 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 10.073 * [backup-simplify]: Simplify (- M) into (- M) 10.073 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 10.073 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 10.073 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 10.073 * [backup-simplify]: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) 10.073 * [backup-simplify]: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 10.074 * [backup-simplify]: Simplify (- 0) into 0 10.074 * [backup-simplify]: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) 10.074 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 10.074 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 10.074 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 10.074 * [taylor]: Taking taylor expansion of 1/2 in n 10.074 * [backup-simplify]: Simplify 1/2 into 1/2 10.074 * [taylor]: Taking taylor expansion of (* K n) in n 10.074 * [taylor]: Taking taylor expansion of K in n 10.074 * [backup-simplify]: Simplify K into K 10.074 * [taylor]: Taking taylor expansion of n in n 10.074 * [backup-simplify]: Simplify 0 into 0 10.074 * [backup-simplify]: Simplify 1 into 1 10.074 * [taylor]: Taking taylor expansion of M in n 10.074 * [backup-simplify]: Simplify M into M 10.074 * [backup-simplify]: Simplify (* K 0) into 0 10.074 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.074 * [backup-simplify]: Simplify (- M) into (- M) 10.074 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.074 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.074 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.074 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 10.074 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.075 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 10.075 * [taylor]: Taking taylor expansion of (cos (- M)) in K 10.075 * [taylor]: Taking taylor expansion of (- M) in K 10.075 * [taylor]: Taking taylor expansion of M in K 10.075 * [backup-simplify]: Simplify M into M 10.075 * [backup-simplify]: Simplify (- M) into (- M) 10.075 * [backup-simplify]: Simplify (- M) into (- M) 10.075 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.075 * [backup-simplify]: Simplify (- M) into (- M) 10.075 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.075 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 10.075 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 10.075 * [backup-simplify]: Simplify (- 0) into 0 10.075 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 10.075 * [taylor]: Taking taylor expansion of (cos (- M)) in M 10.075 * [taylor]: Taking taylor expansion of (- M) in M 10.075 * [taylor]: Taking taylor expansion of M in M 10.075 * [backup-simplify]: Simplify 0 into 0 10.075 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (- 0) into 0 10.076 * [backup-simplify]: Simplify (- 1) into -1 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (+ 0) into 0 10.076 * [backup-simplify]: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 10.077 * [backup-simplify]: Simplify (+ (* K 0) (* 0 n)) into 0 10.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* K n))) into 0 10.077 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.077 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 10.078 * [backup-simplify]: Simplify (+ 0 (* 1/2 K)) into (* 1/2 K) 10.078 * [backup-simplify]: Simplify (- 0) into 0 10.078 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 10.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 10.078 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) 10.078 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 10.079 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) 10.079 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n 10.079 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n 10.079 * [taylor]: Taking taylor expansion of 1/2 in n 10.079 * [backup-simplify]: Simplify 1/2 into 1/2 10.079 * [taylor]: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n 10.079 * [taylor]: Taking taylor expansion of K in n 10.079 * [backup-simplify]: Simplify K into K 10.079 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 10.079 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 10.079 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 10.079 * [taylor]: Taking taylor expansion of 1/2 in n 10.079 * [backup-simplify]: Simplify 1/2 into 1/2 10.079 * [taylor]: Taking taylor expansion of (* K n) in n 10.079 * [taylor]: Taking taylor expansion of K in n 10.079 * [backup-simplify]: Simplify K into K 10.079 * [taylor]: Taking taylor expansion of n in n 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 1 into 1 10.079 * [taylor]: Taking taylor expansion of M in n 10.079 * [backup-simplify]: Simplify M into M 10.079 * [backup-simplify]: Simplify (* K 0) into 0 10.079 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.079 * [backup-simplify]: Simplify (- M) into (- M) 10.079 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.079 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.079 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.079 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 10.079 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 10.079 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 10.079 * [backup-simplify]: Simplify (* K (sin (- M))) into (* K (sin (- M))) 10.080 * [backup-simplify]: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) 10.080 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 10.080 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 10.080 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 10.080 * [taylor]: Taking taylor expansion of 1/2 in K 10.080 * [backup-simplify]: Simplify 1/2 into 1/2 10.080 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 10.080 * [taylor]: Taking taylor expansion of K in K 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [taylor]: Taking taylor expansion of (sin (- M)) in K 10.080 * [taylor]: Taking taylor expansion of (- M) in K 10.080 * [taylor]: Taking taylor expansion of M in K 10.080 * [backup-simplify]: Simplify M into M 10.080 * [backup-simplify]: Simplify (- M) into (- M) 10.080 * [backup-simplify]: Simplify (- M) into (- M) 10.080 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.080 * [backup-simplify]: Simplify (- M) into (- M) 10.080 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.080 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 10.080 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 10.080 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 10.080 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 10.080 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.081 * [backup-simplify]: Simplify (- 0) into 0 10.081 * [taylor]: Taking taylor expansion of 0 in M 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify (+ 0) into 0 10.081 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 10.082 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.082 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 10.082 * [backup-simplify]: Simplify (- 0) into 0 10.082 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 10.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 10.083 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 10.083 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 10.083 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 10.083 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 10.083 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 10.083 * [taylor]: Taking taylor expansion of 1/2 in K 10.083 * [backup-simplify]: Simplify 1/2 into 1/2 10.083 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 10.083 * [taylor]: Taking taylor expansion of K in K 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.083 * [taylor]: Taking taylor expansion of (sin (- M)) in K 10.083 * [taylor]: Taking taylor expansion of (- M) in K 10.083 * [taylor]: Taking taylor expansion of M in K 10.083 * [backup-simplify]: Simplify M into M 10.083 * [backup-simplify]: Simplify (- M) into (- M) 10.083 * [backup-simplify]: Simplify (- M) into (- M) 10.083 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.083 * [backup-simplify]: Simplify (- M) into (- M) 10.083 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.083 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 10.083 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 10.083 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 10.083 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 10.084 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.084 * [backup-simplify]: Simplify (- 0) into 0 10.084 * [taylor]: Taking taylor expansion of 0 in M 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify (+ 0) into 0 10.084 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 10.085 * [backup-simplify]: Simplify (- 0) into 0 10.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.085 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 10.086 * [backup-simplify]: Simplify (- 0) into 0 10.086 * [backup-simplify]: Simplify (+ 0 0) into 0 10.086 * [taylor]: Taking taylor expansion of 0 in M 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify (+ 0) into 0 10.086 * [backup-simplify]: Simplify 0 into 0 10.086 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 10.087 * [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))))) 10.087 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (* 0 n))) into 0 10.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* K n)))) into 0 10.088 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.089 * [backup-simplify]: Simplify (- 0) into 0 10.089 * [backup-simplify]: Simplify (+ 0 0) into 0 10.090 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.090 * [backup-simplify]: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 10.090 * [backup-simplify]: Simplify (- 0) into 0 10.091 * [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))))) 10.091 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n 10.091 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n 10.091 * [taylor]: Taking taylor expansion of 1/8 in n 10.091 * [backup-simplify]: Simplify 1/8 into 1/8 10.091 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n 10.091 * [taylor]: Taking taylor expansion of (pow K 2) in n 10.091 * [taylor]: Taking taylor expansion of K in n 10.091 * [backup-simplify]: Simplify K into K 10.091 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 10.091 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 10.091 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 10.091 * [taylor]: Taking taylor expansion of 1/2 in n 10.091 * [backup-simplify]: Simplify 1/2 into 1/2 10.091 * [taylor]: Taking taylor expansion of (* K n) in n 10.091 * [taylor]: Taking taylor expansion of K in n 10.091 * [backup-simplify]: Simplify K into K 10.091 * [taylor]: Taking taylor expansion of n in n 10.091 * [backup-simplify]: Simplify 0 into 0 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [taylor]: Taking taylor expansion of M in n 10.091 * [backup-simplify]: Simplify M into M 10.091 * [backup-simplify]: Simplify (* K 0) into 0 10.091 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.091 * [backup-simplify]: Simplify (- M) into (- M) 10.091 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.091 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.091 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.092 * [backup-simplify]: Simplify (* K K) into (pow K 2) 10.092 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 10.092 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 10.092 * [backup-simplify]: Simplify (- 0) into 0 10.092 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 10.092 * [backup-simplify]: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) 10.092 * [backup-simplify]: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) 10.092 * [backup-simplify]: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 10.092 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 10.092 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 10.092 * [taylor]: Taking taylor expansion of 1/8 in K 10.092 * [backup-simplify]: Simplify 1/8 into 1/8 10.092 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 10.092 * [taylor]: Taking taylor expansion of (pow K 2) in K 10.092 * [taylor]: Taking taylor expansion of K in K 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [taylor]: Taking taylor expansion of (cos (- M)) in K 10.092 * [taylor]: Taking taylor expansion of (- M) in K 10.092 * [taylor]: Taking taylor expansion of M in K 10.092 * [backup-simplify]: Simplify M into M 10.092 * [backup-simplify]: Simplify (- M) into (- M) 10.092 * [backup-simplify]: Simplify (- M) into (- M) 10.092 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.092 * [backup-simplify]: Simplify (- M) into (- M) 10.093 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.093 * [backup-simplify]: Simplify (+ 0) into 0 10.093 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 10.093 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.094 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 10.094 * [backup-simplify]: Simplify (- 0) into 0 10.094 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 10.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 10.094 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 10.094 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 10.095 * [backup-simplify]: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) 10.095 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) 10.095 * [backup-simplify]: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) 10.095 * [taylor]: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K 10.095 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K 10.095 * [taylor]: Taking taylor expansion of 1/4 in K 10.095 * [backup-simplify]: Simplify 1/4 into 1/4 10.095 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 10.095 * [taylor]: Taking taylor expansion of (pow K 2) in K 10.095 * [taylor]: Taking taylor expansion of K in K 10.095 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify 1 into 1 10.095 * [taylor]: Taking taylor expansion of (cos (- M)) in K 10.095 * [taylor]: Taking taylor expansion of (- M) in K 10.095 * [taylor]: Taking taylor expansion of M in K 10.095 * [backup-simplify]: Simplify M into M 10.095 * [backup-simplify]: Simplify (- M) into (- M) 10.095 * [backup-simplify]: Simplify (- M) into (- M) 10.095 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.095 * [backup-simplify]: Simplify (- M) into (- M) 10.095 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 10.096 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 10.096 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 10.097 * [backup-simplify]: Simplify (- 0) into 0 10.097 * [backup-simplify]: Simplify (+ 0 0) into 0 10.098 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 10.098 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 10.098 * [backup-simplify]: Simplify (- 0) into 0 10.098 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 10.098 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 10.098 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 10.098 * [taylor]: Taking taylor expansion of 1/8 in K 10.098 * [backup-simplify]: Simplify 1/8 into 1/8 10.099 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 10.099 * [taylor]: Taking taylor expansion of (pow K 2) in K 10.099 * [taylor]: Taking taylor expansion of K in K 10.099 * [backup-simplify]: Simplify 0 into 0 10.099 * [backup-simplify]: Simplify 1 into 1 10.099 * [taylor]: Taking taylor expansion of (cos (- M)) in K 10.099 * [taylor]: Taking taylor expansion of (- M) in K 10.099 * [taylor]: Taking taylor expansion of M in K 10.099 * [backup-simplify]: Simplify M into M 10.099 * [backup-simplify]: Simplify (- M) into (- M) 10.099 * [backup-simplify]: Simplify (- M) into (- M) 10.099 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 10.099 * [backup-simplify]: Simplify (- M) into (- M) 10.099 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 10.099 * [backup-simplify]: Simplify (+ 0) into 0 10.099 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 10.100 * [backup-simplify]: Simplify (- 0) into 0 10.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.100 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 10.101 * [backup-simplify]: Simplify (+ 0 0) into 0 10.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 10.101 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 10.101 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 10.101 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 10.101 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 10.101 * [taylor]: Taking taylor expansion of 1/2 in M 10.101 * [backup-simplify]: Simplify 1/2 into 1/2 10.101 * [taylor]: Taking taylor expansion of (sin (- M)) in M 10.101 * [taylor]: Taking taylor expansion of (- M) in M 10.101 * [taylor]: Taking taylor expansion of M in M 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 1 into 1 10.102 * [backup-simplify]: Simplify (- 0) into 0 10.102 * [backup-simplify]: Simplify (- 1) into -1 10.102 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.102 * [backup-simplify]: Simplify (- 0) into 0 10.102 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify (+ 0) into 0 10.103 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 10.103 * [backup-simplify]: Simplify (- 0) into 0 10.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 10.104 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 10.105 * [backup-simplify]: Simplify (+ 0 0) into 0 10.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 10.106 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 10.106 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 10.106 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 10.106 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 10.106 * [taylor]: Taking taylor expansion of 1/2 in M 10.106 * [backup-simplify]: Simplify 1/2 into 1/2 10.106 * [taylor]: Taking taylor expansion of (sin (- M)) in M 10.106 * [taylor]: Taking taylor expansion of (- M) in M 10.106 * [taylor]: Taking taylor expansion of M in M 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 1 into 1 10.106 * [backup-simplify]: Simplify (- 0) into 0 10.107 * [backup-simplify]: Simplify (- 1) into -1 10.107 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.107 * [backup-simplify]: Simplify (- 0) into 0 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 10.108 * [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 10.108 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 10.108 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 10.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 10.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 10.108 * [taylor]: Taking taylor expansion of 1/2 in M 10.108 * [backup-simplify]: Simplify 1/2 into 1/2 10.108 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 10.108 * [taylor]: Taking taylor expansion of (* m K) in M 10.108 * [taylor]: Taking taylor expansion of m in M 10.108 * [backup-simplify]: Simplify m into m 10.108 * [taylor]: Taking taylor expansion of K in M 10.108 * [backup-simplify]: Simplify K into K 10.108 * [backup-simplify]: Simplify (* m K) into (* m K) 10.108 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.109 * [taylor]: Taking taylor expansion of 1/2 in M 10.109 * [backup-simplify]: Simplify 1/2 into 1/2 10.109 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.109 * [taylor]: Taking taylor expansion of (* K n) in M 10.109 * [taylor]: Taking taylor expansion of K in M 10.109 * [backup-simplify]: Simplify K into K 10.109 * [taylor]: Taking taylor expansion of n in M 10.109 * [backup-simplify]: Simplify n into n 10.109 * [backup-simplify]: Simplify (* K n) into (* K n) 10.109 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.109 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.109 * [taylor]: Taking taylor expansion of M in M 10.109 * [backup-simplify]: Simplify 0 into 0 10.109 * [backup-simplify]: Simplify 1 into 1 10.114 * [backup-simplify]: Simplify (/ 1 1) into 1 10.114 * [backup-simplify]: Simplify (- 1) into -1 10.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.115 * [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))) 10.115 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 10.115 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 10.115 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 10.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 10.115 * [taylor]: Taking taylor expansion of 1/2 in K 10.115 * [backup-simplify]: Simplify 1/2 into 1/2 10.115 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 10.115 * [taylor]: Taking taylor expansion of (* m K) in K 10.116 * [taylor]: Taking taylor expansion of m in K 10.116 * [backup-simplify]: Simplify m into m 10.116 * [taylor]: Taking taylor expansion of K in K 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [backup-simplify]: Simplify (* m 0) into 0 10.116 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 10.116 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.116 * [taylor]: Taking taylor expansion of 1/2 in K 10.116 * [backup-simplify]: Simplify 1/2 into 1/2 10.116 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.116 * [taylor]: Taking taylor expansion of (* K n) in K 10.116 * [taylor]: Taking taylor expansion of K in K 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 1 into 1 10.116 * [taylor]: Taking taylor expansion of n in K 10.116 * [backup-simplify]: Simplify n into n 10.117 * [backup-simplify]: Simplify (* 0 n) into 0 10.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.117 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.117 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.117 * [taylor]: Taking taylor expansion of M in K 10.117 * [backup-simplify]: Simplify M into M 10.117 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.117 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 10.117 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.117 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.118 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.118 * [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))) 10.118 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 10.118 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 10.118 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 10.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 10.118 * [taylor]: Taking taylor expansion of 1/2 in n 10.118 * [backup-simplify]: Simplify 1/2 into 1/2 10.118 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 10.119 * [taylor]: Taking taylor expansion of (* m K) in n 10.119 * [taylor]: Taking taylor expansion of m in n 10.119 * [backup-simplify]: Simplify m into m 10.119 * [taylor]: Taking taylor expansion of K in n 10.119 * [backup-simplify]: Simplify K into K 10.119 * [backup-simplify]: Simplify (* m K) into (* m K) 10.119 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.119 * [taylor]: Taking taylor expansion of 1/2 in n 10.119 * [backup-simplify]: Simplify 1/2 into 1/2 10.119 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.119 * [taylor]: Taking taylor expansion of (* K n) in n 10.119 * [taylor]: Taking taylor expansion of K in n 10.119 * [backup-simplify]: Simplify K into K 10.119 * [taylor]: Taking taylor expansion of n in n 10.119 * [backup-simplify]: Simplify 0 into 0 10.119 * [backup-simplify]: Simplify 1 into 1 10.119 * [backup-simplify]: Simplify (* K 0) into 0 10.120 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.120 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.120 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.120 * [taylor]: Taking taylor expansion of M in n 10.120 * [backup-simplify]: Simplify M into M 10.120 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.120 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.120 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 10.120 * [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))) 10.120 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 10.121 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 10.121 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 10.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 10.121 * [taylor]: Taking taylor expansion of 1/2 in m 10.121 * [backup-simplify]: Simplify 1/2 into 1/2 10.121 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 10.121 * [taylor]: Taking taylor expansion of (* m K) in m 10.121 * [taylor]: Taking taylor expansion of m in m 10.121 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify 1 into 1 10.121 * [taylor]: Taking taylor expansion of K in m 10.121 * [backup-simplify]: Simplify K into K 10.121 * [backup-simplify]: Simplify (* 0 K) into 0 10.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 10.121 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 10.121 * [taylor]: Taking taylor expansion of 1/2 in m 10.121 * [backup-simplify]: Simplify 1/2 into 1/2 10.121 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 10.121 * [taylor]: Taking taylor expansion of (* K n) in m 10.121 * [taylor]: Taking taylor expansion of K in m 10.121 * [backup-simplify]: Simplify K into K 10.122 * [taylor]: Taking taylor expansion of n in m 10.122 * [backup-simplify]: Simplify n into n 10.122 * [backup-simplify]: Simplify (* K n) into (* K n) 10.122 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.122 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.122 * [taylor]: Taking taylor expansion of M in m 10.122 * [backup-simplify]: Simplify M into M 10.122 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.122 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 10.122 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 10.122 * [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))) 10.122 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 10.122 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 10.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 10.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 10.122 * [taylor]: Taking taylor expansion of 1/2 in m 10.123 * [backup-simplify]: Simplify 1/2 into 1/2 10.123 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 10.123 * [taylor]: Taking taylor expansion of (* m K) in m 10.123 * [taylor]: Taking taylor expansion of m in m 10.123 * [backup-simplify]: Simplify 0 into 0 10.123 * [backup-simplify]: Simplify 1 into 1 10.123 * [taylor]: Taking taylor expansion of K in m 10.123 * [backup-simplify]: Simplify K into K 10.123 * [backup-simplify]: Simplify (* 0 K) into 0 10.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 10.123 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 10.123 * [taylor]: Taking taylor expansion of 1/2 in m 10.123 * [backup-simplify]: Simplify 1/2 into 1/2 10.123 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 10.123 * [taylor]: Taking taylor expansion of (* K n) in m 10.123 * [taylor]: Taking taylor expansion of K in m 10.123 * [backup-simplify]: Simplify K into K 10.123 * [taylor]: Taking taylor expansion of n in m 10.123 * [backup-simplify]: Simplify n into n 10.124 * [backup-simplify]: Simplify (* K n) into (* K n) 10.124 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.124 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.124 * [taylor]: Taking taylor expansion of M in m 10.124 * [backup-simplify]: Simplify M into M 10.124 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.124 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.124 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 10.124 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 10.124 * [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))) 10.124 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 10.124 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 10.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 10.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 10.124 * [taylor]: Taking taylor expansion of 1/2 in n 10.124 * [backup-simplify]: Simplify 1/2 into 1/2 10.125 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 10.125 * [taylor]: Taking taylor expansion of (* m K) in n 10.125 * [taylor]: Taking taylor expansion of m in n 10.125 * [backup-simplify]: Simplify m into m 10.125 * [taylor]: Taking taylor expansion of K in n 10.125 * [backup-simplify]: Simplify K into K 10.125 * [backup-simplify]: Simplify (* m K) into (* m K) 10.125 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.125 * [taylor]: Taking taylor expansion of 1/2 in n 10.125 * [backup-simplify]: Simplify 1/2 into 1/2 10.125 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.125 * [taylor]: Taking taylor expansion of (* K n) in n 10.125 * [taylor]: Taking taylor expansion of K in n 10.125 * [backup-simplify]: Simplify K into K 10.125 * [taylor]: Taking taylor expansion of n in n 10.125 * [backup-simplify]: Simplify 0 into 0 10.125 * [backup-simplify]: Simplify 1 into 1 10.125 * [backup-simplify]: Simplify (* K 0) into 0 10.125 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.126 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.126 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.126 * [taylor]: Taking taylor expansion of M in n 10.126 * [backup-simplify]: Simplify M into M 10.126 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.126 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.126 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.126 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 10.126 * [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))) 10.126 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 10.126 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 10.126 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 10.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 10.126 * [taylor]: Taking taylor expansion of 1/2 in K 10.126 * [backup-simplify]: Simplify 1/2 into 1/2 10.126 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 10.126 * [taylor]: Taking taylor expansion of (* m K) in K 10.127 * [taylor]: Taking taylor expansion of m in K 10.127 * [backup-simplify]: Simplify m into m 10.127 * [taylor]: Taking taylor expansion of K in K 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 1 into 1 10.127 * [backup-simplify]: Simplify (* m 0) into 0 10.127 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 10.127 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.127 * [taylor]: Taking taylor expansion of 1/2 in K 10.127 * [backup-simplify]: Simplify 1/2 into 1/2 10.127 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.127 * [taylor]: Taking taylor expansion of (* K n) in K 10.127 * [taylor]: Taking taylor expansion of K in K 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 1 into 1 10.127 * [taylor]: Taking taylor expansion of n in K 10.127 * [backup-simplify]: Simplify n into n 10.127 * [backup-simplify]: Simplify (* 0 n) into 0 10.128 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.128 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.128 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.128 * [taylor]: Taking taylor expansion of M in K 10.128 * [backup-simplify]: Simplify M into M 10.128 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.128 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 10.128 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.128 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.128 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.129 * [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))) 10.129 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 10.129 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 10.129 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 10.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 10.129 * [taylor]: Taking taylor expansion of 1/2 in M 10.129 * [backup-simplify]: Simplify 1/2 into 1/2 10.129 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 10.129 * [taylor]: Taking taylor expansion of (* m K) in M 10.129 * [taylor]: Taking taylor expansion of m in M 10.129 * [backup-simplify]: Simplify m into m 10.129 * [taylor]: Taking taylor expansion of K in M 10.129 * [backup-simplify]: Simplify K into K 10.129 * [backup-simplify]: Simplify (* m K) into (* m K) 10.129 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.129 * [taylor]: Taking taylor expansion of 1/2 in M 10.129 * [backup-simplify]: Simplify 1/2 into 1/2 10.129 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.129 * [taylor]: Taking taylor expansion of (* K n) in M 10.129 * [taylor]: Taking taylor expansion of K in M 10.129 * [backup-simplify]: Simplify K into K 10.129 * [taylor]: Taking taylor expansion of n in M 10.129 * [backup-simplify]: Simplify n into n 10.130 * [backup-simplify]: Simplify (* K n) into (* K n) 10.130 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.130 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.130 * [taylor]: Taking taylor expansion of M in M 10.130 * [backup-simplify]: Simplify 0 into 0 10.130 * [backup-simplify]: Simplify 1 into 1 10.130 * [backup-simplify]: Simplify (/ 1 1) into 1 10.130 * [backup-simplify]: Simplify (- 1) into -1 10.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.131 * [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))) 10.131 * [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))) 10.132 * [taylor]: Taking taylor expansion of 0 in n 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in K 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in M 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in K 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in M 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in M 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in n 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in K 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in M 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in K 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [taylor]: Taking taylor expansion of 0 in M 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.133 * [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)) 10.133 * [backup-simplify]: Simplify (cos (- (/ (posit16->real (real->posit16 (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 10.133 * [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 10.133 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 10.133 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 10.133 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.133 * [taylor]: Taking taylor expansion of M in M 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 1 into 1 10.134 * [backup-simplify]: Simplify (/ 1 1) into 1 10.134 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 10.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 10.134 * [taylor]: Taking taylor expansion of 1/2 in M 10.134 * [backup-simplify]: Simplify 1/2 into 1/2 10.134 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 10.134 * [taylor]: Taking taylor expansion of (* m K) in M 10.134 * [taylor]: Taking taylor expansion of m in M 10.134 * [backup-simplify]: Simplify m into m 10.134 * [taylor]: Taking taylor expansion of K in M 10.134 * [backup-simplify]: Simplify K into K 10.134 * [backup-simplify]: Simplify (* m K) into (* m K) 10.134 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.134 * [taylor]: Taking taylor expansion of 1/2 in M 10.134 * [backup-simplify]: Simplify 1/2 into 1/2 10.134 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.134 * [taylor]: Taking taylor expansion of (* K n) in M 10.134 * [taylor]: Taking taylor expansion of K in M 10.134 * [backup-simplify]: Simplify K into K 10.134 * [taylor]: Taking taylor expansion of n in M 10.134 * [backup-simplify]: Simplify n into n 10.134 * [backup-simplify]: Simplify (* K n) into (* K n) 10.135 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.135 * [backup-simplify]: Simplify (+ 1 0) into 1 10.135 * [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)))))) 10.135 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 10.135 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 10.135 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.136 * [taylor]: Taking taylor expansion of M in K 10.136 * [backup-simplify]: Simplify M into M 10.136 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.136 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 10.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 10.136 * [taylor]: Taking taylor expansion of 1/2 in K 10.136 * [backup-simplify]: Simplify 1/2 into 1/2 10.136 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 10.136 * [taylor]: Taking taylor expansion of (* m K) in K 10.136 * [taylor]: Taking taylor expansion of m in K 10.136 * [backup-simplify]: Simplify m into m 10.136 * [taylor]: Taking taylor expansion of K in K 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 1 into 1 10.136 * [backup-simplify]: Simplify (* m 0) into 0 10.136 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 10.136 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.136 * [taylor]: Taking taylor expansion of 1/2 in K 10.136 * [backup-simplify]: Simplify 1/2 into 1/2 10.137 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.137 * [taylor]: Taking taylor expansion of (* K n) in K 10.137 * [taylor]: Taking taylor expansion of K in K 10.137 * [backup-simplify]: Simplify 0 into 0 10.137 * [backup-simplify]: Simplify 1 into 1 10.137 * [taylor]: Taking taylor expansion of n in K 10.137 * [backup-simplify]: Simplify n into n 10.137 * [backup-simplify]: Simplify (* 0 n) into 0 10.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.137 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.137 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 10.137 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.137 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.138 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.138 * [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)))))) 10.138 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 10.138 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 10.138 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.138 * [taylor]: Taking taylor expansion of M in n 10.138 * [backup-simplify]: Simplify M into M 10.138 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.138 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 10.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 10.138 * [taylor]: Taking taylor expansion of 1/2 in n 10.138 * [backup-simplify]: Simplify 1/2 into 1/2 10.138 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 10.138 * [taylor]: Taking taylor expansion of (* m K) in n 10.138 * [taylor]: Taking taylor expansion of m in n 10.138 * [backup-simplify]: Simplify m into m 10.138 * [taylor]: Taking taylor expansion of K in n 10.138 * [backup-simplify]: Simplify K into K 10.138 * [backup-simplify]: Simplify (* m K) into (* m K) 10.138 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.139 * [taylor]: Taking taylor expansion of 1/2 in n 10.139 * [backup-simplify]: Simplify 1/2 into 1/2 10.139 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.139 * [taylor]: Taking taylor expansion of (* K n) in n 10.139 * [taylor]: Taking taylor expansion of K in n 10.139 * [backup-simplify]: Simplify K into K 10.139 * [taylor]: Taking taylor expansion of n in n 10.139 * [backup-simplify]: Simplify 0 into 0 10.139 * [backup-simplify]: Simplify 1 into 1 10.139 * [backup-simplify]: Simplify (* K 0) into 0 10.139 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.139 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.139 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.139 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.139 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 10.140 * [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)))))) 10.140 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 10.140 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 10.140 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.140 * [taylor]: Taking taylor expansion of M in m 10.140 * [backup-simplify]: Simplify M into M 10.140 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.140 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 10.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 10.140 * [taylor]: Taking taylor expansion of 1/2 in m 10.140 * [backup-simplify]: Simplify 1/2 into 1/2 10.140 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 10.140 * [taylor]: Taking taylor expansion of (* m K) in m 10.140 * [taylor]: Taking taylor expansion of m in m 10.140 * [backup-simplify]: Simplify 0 into 0 10.140 * [backup-simplify]: Simplify 1 into 1 10.140 * [taylor]: Taking taylor expansion of K in m 10.140 * [backup-simplify]: Simplify K into K 10.140 * [backup-simplify]: Simplify (* 0 K) into 0 10.140 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 10.140 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 10.140 * [taylor]: Taking taylor expansion of 1/2 in m 10.140 * [backup-simplify]: Simplify 1/2 into 1/2 10.140 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 10.140 * [taylor]: Taking taylor expansion of (* K n) in m 10.140 * [taylor]: Taking taylor expansion of K in m 10.140 * [backup-simplify]: Simplify K into K 10.140 * [taylor]: Taking taylor expansion of n in m 10.140 * [backup-simplify]: Simplify n into n 10.140 * [backup-simplify]: Simplify (* K n) into (* K n) 10.140 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.141 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.141 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 10.141 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 10.141 * [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)))))) 10.141 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 10.141 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 10.141 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.141 * [taylor]: Taking taylor expansion of M in m 10.141 * [backup-simplify]: Simplify M into M 10.141 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.141 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 10.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 10.141 * [taylor]: Taking taylor expansion of 1/2 in m 10.141 * [backup-simplify]: Simplify 1/2 into 1/2 10.141 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 10.141 * [taylor]: Taking taylor expansion of (* m K) in m 10.141 * [taylor]: Taking taylor expansion of m in m 10.141 * [backup-simplify]: Simplify 0 into 0 10.141 * [backup-simplify]: Simplify 1 into 1 10.141 * [taylor]: Taking taylor expansion of K in m 10.141 * [backup-simplify]: Simplify K into K 10.141 * [backup-simplify]: Simplify (* 0 K) into 0 10.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 10.141 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 10.141 * [taylor]: Taking taylor expansion of 1/2 in m 10.141 * [backup-simplify]: Simplify 1/2 into 1/2 10.142 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 10.142 * [taylor]: Taking taylor expansion of (* K n) in m 10.142 * [taylor]: Taking taylor expansion of K in m 10.142 * [backup-simplify]: Simplify K into K 10.142 * [taylor]: Taking taylor expansion of n in m 10.142 * [backup-simplify]: Simplify n into n 10.142 * [backup-simplify]: Simplify (* K n) into (* K n) 10.142 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.142 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.142 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 10.142 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 10.142 * [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)))))) 10.142 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 10.142 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 10.142 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.142 * [taylor]: Taking taylor expansion of M in n 10.142 * [backup-simplify]: Simplify M into M 10.142 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 10.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 10.142 * [taylor]: Taking taylor expansion of 1/2 in n 10.142 * [backup-simplify]: Simplify 1/2 into 1/2 10.143 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 10.143 * [taylor]: Taking taylor expansion of (* m K) in n 10.143 * [taylor]: Taking taylor expansion of m in n 10.143 * [backup-simplify]: Simplify m into m 10.143 * [taylor]: Taking taylor expansion of K in n 10.143 * [backup-simplify]: Simplify K into K 10.143 * [backup-simplify]: Simplify (* m K) into (* m K) 10.143 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 10.143 * [taylor]: Taking taylor expansion of 1/2 in n 10.143 * [backup-simplify]: Simplify 1/2 into 1/2 10.143 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.143 * [taylor]: Taking taylor expansion of (* K n) in n 10.143 * [taylor]: Taking taylor expansion of K in n 10.143 * [backup-simplify]: Simplify K into K 10.143 * [taylor]: Taking taylor expansion of n in n 10.143 * [backup-simplify]: Simplify 0 into 0 10.143 * [backup-simplify]: Simplify 1 into 1 10.143 * [backup-simplify]: Simplify (* K 0) into 0 10.143 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.144 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.144 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 10.144 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 10.144 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 10.144 * [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)))))) 10.144 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 10.144 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 10.144 * [taylor]: Taking taylor expansion of (/ 1 M) in K 10.144 * [taylor]: Taking taylor expansion of M in K 10.144 * [backup-simplify]: Simplify M into M 10.144 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.144 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 10.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 10.144 * [taylor]: Taking taylor expansion of 1/2 in K 10.144 * [backup-simplify]: Simplify 1/2 into 1/2 10.144 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 10.144 * [taylor]: Taking taylor expansion of (* m K) in K 10.144 * [taylor]: Taking taylor expansion of m in K 10.144 * [backup-simplify]: Simplify m into m 10.144 * [taylor]: Taking taylor expansion of K in K 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify 1 into 1 10.145 * [backup-simplify]: Simplify (* m 0) into 0 10.145 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 10.145 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 10.145 * [taylor]: Taking taylor expansion of 1/2 in K 10.145 * [backup-simplify]: Simplify 1/2 into 1/2 10.145 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 10.145 * [taylor]: Taking taylor expansion of (* K n) in K 10.145 * [taylor]: Taking taylor expansion of K in K 10.145 * [backup-simplify]: Simplify 0 into 0 10.145 * [backup-simplify]: Simplify 1 into 1 10.145 * [taylor]: Taking taylor expansion of n in K 10.145 * [backup-simplify]: Simplify n into n 10.145 * [backup-simplify]: Simplify (* 0 n) into 0 10.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 10.146 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.146 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 10.146 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.146 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.146 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 10.147 * [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)))))) 10.147 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 10.147 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 10.147 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.147 * [taylor]: Taking taylor expansion of M in M 10.147 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify 1 into 1 10.147 * [backup-simplify]: Simplify (/ 1 1) into 1 10.147 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 10.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 10.147 * [taylor]: Taking taylor expansion of 1/2 in M 10.147 * [backup-simplify]: Simplify 1/2 into 1/2 10.147 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 10.147 * [taylor]: Taking taylor expansion of (* m K) in M 10.147 * [taylor]: Taking taylor expansion of m in M 10.147 * [backup-simplify]: Simplify m into m 10.147 * [taylor]: Taking taylor expansion of K in M 10.147 * [backup-simplify]: Simplify K into K 10.147 * [backup-simplify]: Simplify (* m K) into (* m K) 10.147 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 10.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 10.148 * [taylor]: Taking taylor expansion of 1/2 in M 10.148 * [backup-simplify]: Simplify 1/2 into 1/2 10.148 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 10.148 * [taylor]: Taking taylor expansion of (* K n) in M 10.148 * [taylor]: Taking taylor expansion of K in M 10.148 * [backup-simplify]: Simplify K into K 10.148 * [taylor]: Taking taylor expansion of n in M 10.148 * [backup-simplify]: Simplify n into n 10.148 * [backup-simplify]: Simplify (* K n) into (* K n) 10.148 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 10.148 * [backup-simplify]: Simplify (+ 1 0) into 1 10.149 * [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)))))) 10.149 * [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)))))) 10.149 * [taylor]: Taking taylor expansion of 0 in n 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [taylor]: Taking taylor expansion of 0 in K 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [taylor]: Taking taylor expansion of 0 in M 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [taylor]: Taking taylor expansion of 0 in K 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [taylor]: Taking taylor expansion of 0 in M 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [taylor]: Taking taylor expansion of 0 in M 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [taylor]: Taking taylor expansion of 0 in n 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [taylor]: Taking taylor expansion of 0 in K 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [taylor]: Taking taylor expansion of 0 in M 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [taylor]: Taking taylor expansion of 0 in K 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [taylor]: Taking taylor expansion of 0 in M 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [backup-simplify]: Simplify 0 into 0 10.150 * [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)) 10.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 10.151 * [backup-simplify]: Simplify (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) 10.151 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in (m n M) around 0 10.151 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in M 10.151 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 10.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 10.151 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 10.151 * [taylor]: Taking taylor expansion of 1/2 in M 10.151 * [backup-simplify]: Simplify 1/2 into 1/2 10.151 * [taylor]: Taking taylor expansion of m in M 10.151 * [backup-simplify]: Simplify m into m 10.151 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 10.151 * [taylor]: Taking taylor expansion of 1/2 in M 10.151 * [backup-simplify]: Simplify 1/2 into 1/2 10.151 * [taylor]: Taking taylor expansion of n in M 10.151 * [backup-simplify]: Simplify n into n 10.151 * [taylor]: Taking taylor expansion of M in M 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 10.151 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 10.151 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 1/2 n)) into (+ (* 1/2 m) (* 1/2 n)) 10.152 * [backup-simplify]: Simplify (- 0) into 0 10.152 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 10.152 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in n 10.152 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 10.152 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 10.152 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 10.152 * [taylor]: Taking taylor expansion of 1/2 in n 10.152 * [backup-simplify]: Simplify 1/2 into 1/2 10.152 * [taylor]: Taking taylor expansion of m in n 10.152 * [backup-simplify]: Simplify m into m 10.152 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 10.152 * [taylor]: Taking taylor expansion of 1/2 in n 10.152 * [backup-simplify]: Simplify 1/2 into 1/2 10.152 * [taylor]: Taking taylor expansion of n in n 10.152 * [backup-simplify]: Simplify 0 into 0 10.152 * [backup-simplify]: Simplify 1 into 1 10.152 * [taylor]: Taking taylor expansion of M in n 10.152 * [backup-simplify]: Simplify M into M 10.152 * [backup-simplify]: Simplify (* 1/2 m) into (* 1/2 m) 10.153 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.153 * [backup-simplify]: Simplify (+ (* 1/2 m) 0) into (* 1/2 m) 10.153 * [backup-simplify]: Simplify (- M) into (- M) 10.153 * [backup-simplify]: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) 10.153 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 10.153 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 10.153 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 10.153 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 10.153 * [taylor]: Taking taylor expansion of 1/2 in m 10.153 * [backup-simplify]: Simplify 1/2 into 1/2 10.153 * [taylor]: Taking taylor expansion of m in m 10.153 * [backup-simplify]: Simplify 0 into 0 10.153 * [backup-simplify]: Simplify 1 into 1 10.153 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 10.153 * [taylor]: Taking taylor expansion of 1/2 in m 10.153 * [backup-simplify]: Simplify 1/2 into 1/2 10.153 * [taylor]: Taking taylor expansion of n in m 10.153 * [backup-simplify]: Simplify n into n 10.153 * [taylor]: Taking taylor expansion of M in m 10.153 * [backup-simplify]: Simplify M into M 10.154 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.154 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 10.154 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 10.154 * [backup-simplify]: Simplify (- M) into (- M) 10.154 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 10.154 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) in m 10.154 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 10.154 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 10.154 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 10.154 * [taylor]: Taking taylor expansion of 1/2 in m 10.154 * [backup-simplify]: Simplify 1/2 into 1/2 10.154 * [taylor]: Taking taylor expansion of m in m 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 10.154 * [taylor]: Taking taylor expansion of 1/2 in m 10.154 * [backup-simplify]: Simplify 1/2 into 1/2 10.154 * [taylor]: Taking taylor expansion of n in m 10.154 * [backup-simplify]: Simplify n into n 10.154 * [taylor]: Taking taylor expansion of M in m 10.154 * [backup-simplify]: Simplify M into M 10.155 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.155 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 10.155 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 10.155 * [backup-simplify]: Simplify (- M) into (- M) 10.155 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 10.155 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 10.155 * [taylor]: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n 10.155 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 10.155 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 10.155 * [taylor]: Taking taylor expansion of 1/2 in n 10.156 * [backup-simplify]: Simplify 1/2 into 1/2 10.156 * [taylor]: Taking taylor expansion of n in n 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [taylor]: Taking taylor expansion of M in n 10.156 * [backup-simplify]: Simplify M into M 10.156 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.156 * [backup-simplify]: Simplify (- M) into (- M) 10.156 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.156 * [backup-simplify]: Simplify (* (- M) (- M)) into (pow M 2) 10.156 * [taylor]: Taking taylor expansion of (pow M 2) in M 10.156 * [taylor]: Taking taylor expansion of M in M 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 10.157 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.157 * [backup-simplify]: Simplify (- 0) into 0 10.158 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.158 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 10.158 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 10.158 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 10.158 * [taylor]: Taking taylor expansion of 1/2 in n 10.158 * [backup-simplify]: Simplify 1/2 into 1/2 10.158 * [taylor]: Taking taylor expansion of n in n 10.158 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify 1 into 1 10.158 * [taylor]: Taking taylor expansion of M in n 10.158 * [backup-simplify]: Simplify M into M 10.158 * [backup-simplify]: Simplify (* 1/2 0) into 0 10.158 * [backup-simplify]: Simplify (- M) into (- M) 10.158 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 10.158 * [taylor]: Taking taylor expansion of (- M) in M 10.158 * [taylor]: Taking taylor expansion of M in M 10.158 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify 1 into 1 10.158 * [backup-simplify]: Simplify (- 0) into 0 10.158 * [backup-simplify]: Simplify 0 into 0 10.159 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.159 * [backup-simplify]: Simplify (- 0) into 0 10.159 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.159 * [backup-simplify]: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) 10.160 * [taylor]: Taking taylor expansion of (- M) in M 10.160 * [taylor]: Taking taylor expansion of M in M 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 1 into 1 10.160 * [backup-simplify]: Simplify (- 0) into 0 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 10.161 * [backup-simplify]: Simplify (+ 0 0) into 0 10.161 * [backup-simplify]: Simplify (- 0) into 0 10.162 * [backup-simplify]: Simplify (+ 0 0) into 0 10.162 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 10.162 * [taylor]: Taking taylor expansion of 1/4 in n 10.162 * [backup-simplify]: Simplify 1/4 into 1/4 10.162 * [taylor]: Taking taylor expansion of 1/4 in M 10.162 * [backup-simplify]: Simplify 1/4 into 1/4 10.162 * [backup-simplify]: Simplify 1/4 into 1/4 10.162 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 10.163 * [backup-simplify]: Simplify (- 0) into 0 10.163 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.163 * [taylor]: Taking taylor expansion of 1/2 in M 10.163 * [backup-simplify]: Simplify 1/2 into 1/2 10.163 * [backup-simplify]: Simplify 1/2 into 1/2 10.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 10.164 * [backup-simplify]: Simplify (- 0) into 0 10.164 * [backup-simplify]: Simplify (+ 0 0) into 0 10.164 * [backup-simplify]: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 10.164 * [taylor]: Taking taylor expansion of 1/4 in M 10.164 * [backup-simplify]: Simplify 1/4 into 1/4 10.164 * [backup-simplify]: Simplify 1/4 into 1/4 10.165 * [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)))) 10.165 * [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) 10.165 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in (m n M) around 0 10.165 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in M 10.165 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 10.165 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 10.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 10.165 * [taylor]: Taking taylor expansion of 1/2 in M 10.165 * [backup-simplify]: Simplify 1/2 into 1/2 10.165 * [taylor]: Taking taylor expansion of (/ 1 m) in M 10.165 * [taylor]: Taking taylor expansion of m in M 10.165 * [backup-simplify]: Simplify m into m 10.165 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 10.165 * [taylor]: Taking taylor expansion of 1/2 in M 10.165 * [backup-simplify]: Simplify 1/2 into 1/2 10.165 * [taylor]: Taking taylor expansion of (/ 1 n) in M 10.165 * [taylor]: Taking taylor expansion of n in M 10.165 * [backup-simplify]: Simplify n into n 10.165 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.165 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.165 * [taylor]: Taking taylor expansion of M in M 10.165 * [backup-simplify]: Simplify 0 into 0 10.165 * [backup-simplify]: Simplify 1 into 1 10.166 * [backup-simplify]: Simplify (/ 1 1) into 1 10.166 * [backup-simplify]: Simplify (- 1) into -1 10.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.166 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in n 10.166 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 10.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 10.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 10.166 * [taylor]: Taking taylor expansion of 1/2 in n 10.166 * [backup-simplify]: Simplify 1/2 into 1/2 10.166 * [taylor]: Taking taylor expansion of (/ 1 m) in n 10.166 * [taylor]: Taking taylor expansion of m in n 10.166 * [backup-simplify]: Simplify m into m 10.166 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 10.166 * [taylor]: Taking taylor expansion of 1/2 in n 10.166 * [backup-simplify]: Simplify 1/2 into 1/2 10.166 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.166 * [taylor]: Taking taylor expansion of n in n 10.166 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify 1 into 1 10.167 * [backup-simplify]: Simplify (/ 1 1) into 1 10.167 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.167 * [taylor]: Taking taylor expansion of M in n 10.167 * [backup-simplify]: Simplify M into M 10.167 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.167 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.167 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.168 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.168 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 10.168 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 10.168 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 10.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 10.168 * [taylor]: Taking taylor expansion of 1/2 in m 10.168 * [backup-simplify]: Simplify 1/2 into 1/2 10.168 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.168 * [taylor]: Taking taylor expansion of m in m 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify 1 into 1 10.168 * [backup-simplify]: Simplify (/ 1 1) into 1 10.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 10.168 * [taylor]: Taking taylor expansion of 1/2 in m 10.168 * [backup-simplify]: Simplify 1/2 into 1/2 10.168 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.168 * [taylor]: Taking taylor expansion of n in m 10.168 * [backup-simplify]: Simplify n into n 10.168 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.168 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.168 * [taylor]: Taking taylor expansion of M in m 10.168 * [backup-simplify]: Simplify M into M 10.168 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.168 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.169 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) in m 10.169 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 10.169 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 10.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 10.169 * [taylor]: Taking taylor expansion of 1/2 in m 10.169 * [backup-simplify]: Simplify 1/2 into 1/2 10.169 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.169 * [taylor]: Taking taylor expansion of m in m 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 1 into 1 10.169 * [backup-simplify]: Simplify (/ 1 1) into 1 10.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 10.169 * [taylor]: Taking taylor expansion of 1/2 in m 10.169 * [backup-simplify]: Simplify 1/2 into 1/2 10.169 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.170 * [taylor]: Taking taylor expansion of n in m 10.170 * [backup-simplify]: Simplify n into n 10.170 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.170 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.170 * [taylor]: Taking taylor expansion of M in m 10.170 * [backup-simplify]: Simplify M into M 10.170 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.171 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 10.171 * [taylor]: Taking taylor expansion of 1/4 in n 10.171 * [backup-simplify]: Simplify 1/4 into 1/4 10.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.172 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.172 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 10.172 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 10.172 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 10.172 * [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)) 10.172 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 10.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 10.172 * [taylor]: Taking taylor expansion of 1/2 in n 10.172 * [backup-simplify]: Simplify 1/2 into 1/2 10.172 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.172 * [taylor]: Taking taylor expansion of n in n 10.172 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify 1 into 1 10.172 * [backup-simplify]: Simplify (/ 1 1) into 1 10.172 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.173 * [taylor]: Taking taylor expansion of M in n 10.173 * [backup-simplify]: Simplify M into M 10.173 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 10.174 * [backup-simplify]: Simplify (+ 0 0) into 0 10.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 10.175 * [backup-simplify]: Simplify (- 0) into 0 10.175 * [backup-simplify]: Simplify (+ 0 0) into 0 10.176 * [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))) 10.176 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 10.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 10.176 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 10.176 * [taylor]: Taking taylor expansion of (pow M 2) in n 10.176 * [taylor]: Taking taylor expansion of M in n 10.176 * [backup-simplify]: Simplify M into M 10.176 * [backup-simplify]: Simplify (* M M) into (pow M 2) 10.176 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 10.176 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 10.176 * [taylor]: Taking taylor expansion of 1/4 in n 10.176 * [backup-simplify]: Simplify 1/4 into 1/4 10.176 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.176 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.176 * [taylor]: Taking taylor expansion of n in n 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 1 into 1 10.177 * [backup-simplify]: Simplify (* 1 1) into 1 10.177 * [backup-simplify]: Simplify (/ 1 1) into 1 10.177 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 10.177 * [taylor]: Taking taylor expansion of (* M n) in n 10.177 * [taylor]: Taking taylor expansion of M in n 10.177 * [backup-simplify]: Simplify M into M 10.177 * [taylor]: Taking taylor expansion of n in n 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 1 into 1 10.177 * [backup-simplify]: Simplify (* M 0) into 0 10.178 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 10.178 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.178 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 10.179 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.179 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 10.179 * [taylor]: Taking taylor expansion of 1/4 in M 10.179 * [backup-simplify]: Simplify 1/4 into 1/4 10.180 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.180 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.180 * [taylor]: Taking taylor expansion of 1/2 in M 10.180 * [backup-simplify]: Simplify 1/2 into 1/2 10.180 * [taylor]: Taking taylor expansion of 1/4 in M 10.180 * [backup-simplify]: Simplify 1/4 into 1/4 10.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 10.184 * [backup-simplify]: Simplify (+ 0 0) into 0 10.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 10.184 * [backup-simplify]: Simplify (- 0) into 0 10.184 * [backup-simplify]: Simplify (+ 0 0) into 0 10.185 * [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 10.185 * [taylor]: Taking taylor expansion of 0 in n 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.188 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 10.188 * [backup-simplify]: Simplify (+ 0 0) into 0 10.188 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 10.188 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 10.188 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 10.188 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.188 * [taylor]: Taking taylor expansion of M in M 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 1 into 1 10.189 * [backup-simplify]: Simplify (/ 1 1) into 1 10.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.190 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 10.190 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 10.190 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 10.190 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.190 * [taylor]: Taking taylor expansion of M in M 10.190 * [backup-simplify]: Simplify 0 into 0 10.190 * [backup-simplify]: Simplify 1 into 1 10.191 * [backup-simplify]: Simplify (/ 1 1) into 1 10.191 * [taylor]: Taking taylor expansion of 0 in M 10.191 * [backup-simplify]: Simplify 0 into 0 10.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 10.194 * [backup-simplify]: Simplify (+ 0 0) into 0 10.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 10.194 * [backup-simplify]: Simplify (- 0) into 0 10.194 * [backup-simplify]: Simplify (+ 0 0) into 0 10.195 * [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 10.195 * [taylor]: Taking taylor expansion of 0 in n 10.195 * [backup-simplify]: Simplify 0 into 0 10.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 10.197 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 10.197 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 10.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 10.197 * [backup-simplify]: Simplify (- 0) into 0 10.198 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 10.198 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 10.198 * [taylor]: Taking taylor expansion of (pow M 2) in M 10.198 * [taylor]: Taking taylor expansion of M in M 10.198 * [backup-simplify]: Simplify 0 into 0 10.198 * [backup-simplify]: Simplify 1 into 1 10.198 * [backup-simplify]: Simplify (* 1 1) into 1 10.198 * [backup-simplify]: Simplify (/ 1 1) into 1 10.198 * [backup-simplify]: Simplify 1 into 1 10.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 10.200 * [backup-simplify]: Simplify (- 0) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.200 * [taylor]: Taking taylor expansion of 0 in M 10.200 * [backup-simplify]: Simplify 0 into 0 10.200 * [taylor]: Taking taylor expansion of 0 in M 10.200 * [backup-simplify]: Simplify 0 into 0 10.200 * [backup-simplify]: Simplify (- 1) into -1 10.200 * [backup-simplify]: Simplify -1 into -1 10.200 * [backup-simplify]: Simplify (- 1) into -1 10.201 * [backup-simplify]: Simplify -1 into -1 10.201 * [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))) 10.201 * [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) 10.201 * [approximate]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in (m n M) around 0 10.201 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in M 10.201 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 10.201 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.201 * [taylor]: Taking taylor expansion of M in M 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.202 * [backup-simplify]: Simplify (/ 1 1) into 1 10.202 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 10.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 10.202 * [taylor]: Taking taylor expansion of 1/2 in M 10.202 * [backup-simplify]: Simplify 1/2 into 1/2 10.202 * [taylor]: Taking taylor expansion of (/ 1 m) in M 10.202 * [taylor]: Taking taylor expansion of m in M 10.202 * [backup-simplify]: Simplify m into m 10.202 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 10.202 * [taylor]: Taking taylor expansion of 1/2 in M 10.202 * [backup-simplify]: Simplify 1/2 into 1/2 10.202 * [taylor]: Taking taylor expansion of (/ 1 n) in M 10.202 * [taylor]: Taking taylor expansion of n in M 10.202 * [backup-simplify]: Simplify n into n 10.202 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.202 * [backup-simplify]: Simplify (+ 1 0) into 1 10.202 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in n 10.202 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 10.202 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.202 * [taylor]: Taking taylor expansion of M in n 10.202 * [backup-simplify]: Simplify M into M 10.202 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.202 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 10.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 10.202 * [taylor]: Taking taylor expansion of 1/2 in n 10.202 * [backup-simplify]: Simplify 1/2 into 1/2 10.203 * [taylor]: Taking taylor expansion of (/ 1 m) in n 10.203 * [taylor]: Taking taylor expansion of m in n 10.203 * [backup-simplify]: Simplify m into m 10.203 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 10.203 * [taylor]: Taking taylor expansion of 1/2 in n 10.203 * [backup-simplify]: Simplify 1/2 into 1/2 10.203 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.203 * [taylor]: Taking taylor expansion of n in n 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 1 into 1 10.203 * [backup-simplify]: Simplify (/ 1 1) into 1 10.203 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.203 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 10.204 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.204 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.204 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 10.204 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 10.204 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.204 * [taylor]: Taking taylor expansion of M in m 10.204 * [backup-simplify]: Simplify M into M 10.204 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.204 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 10.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 10.204 * [taylor]: Taking taylor expansion of 1/2 in m 10.204 * [backup-simplify]: Simplify 1/2 into 1/2 10.204 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.204 * [taylor]: Taking taylor expansion of m in m 10.204 * [backup-simplify]: Simplify 0 into 0 10.204 * [backup-simplify]: Simplify 1 into 1 10.204 * [backup-simplify]: Simplify (/ 1 1) into 1 10.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 10.204 * [taylor]: Taking taylor expansion of 1/2 in m 10.205 * [backup-simplify]: Simplify 1/2 into 1/2 10.205 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.205 * [taylor]: Taking taylor expansion of n in m 10.205 * [backup-simplify]: Simplify n into n 10.205 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.205 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.205 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.205 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.206 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.206 * [taylor]: Taking taylor expansion of (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) in m 10.206 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 10.206 * [taylor]: Taking taylor expansion of (/ 1 M) in m 10.206 * [taylor]: Taking taylor expansion of M in m 10.206 * [backup-simplify]: Simplify M into M 10.206 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.206 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 10.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 10.206 * [taylor]: Taking taylor expansion of 1/2 in m 10.206 * [backup-simplify]: Simplify 1/2 into 1/2 10.206 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.206 * [taylor]: Taking taylor expansion of m in m 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [backup-simplify]: Simplify (/ 1 1) into 1 10.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 10.206 * [taylor]: Taking taylor expansion of 1/2 in m 10.206 * [backup-simplify]: Simplify 1/2 into 1/2 10.206 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.206 * [taylor]: Taking taylor expansion of n in m 10.206 * [backup-simplify]: Simplify n into n 10.206 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.207 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.207 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.207 * [backup-simplify]: Simplify (- 1/2) into -1/2 10.207 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 10.208 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 10.208 * [taylor]: Taking taylor expansion of 1/4 in n 10.208 * [backup-simplify]: Simplify 1/4 into 1/4 10.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.209 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 10.209 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 10.209 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 10.209 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 10.209 * [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)) 10.209 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 10.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 10.209 * [taylor]: Taking taylor expansion of 1/2 in n 10.209 * [backup-simplify]: Simplify 1/2 into 1/2 10.209 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.209 * [taylor]: Taking taylor expansion of n in n 10.209 * [backup-simplify]: Simplify 0 into 0 10.209 * [backup-simplify]: Simplify 1 into 1 10.209 * [backup-simplify]: Simplify (/ 1 1) into 1 10.209 * [taylor]: Taking taylor expansion of (/ 1 M) in n 10.209 * [taylor]: Taking taylor expansion of M in n 10.209 * [backup-simplify]: Simplify M into M 10.209 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 10.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 10.211 * [backup-simplify]: Simplify (+ 0 0) into 0 10.212 * [backup-simplify]: Simplify (- 0) into 0 10.212 * [backup-simplify]: Simplify (+ 0 0) into 0 10.213 * [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))) 10.213 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n 10.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 10.213 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 10.213 * [taylor]: Taking taylor expansion of (pow M 2) in n 10.213 * [taylor]: Taking taylor expansion of M in n 10.213 * [backup-simplify]: Simplify M into M 10.213 * [backup-simplify]: Simplify (* M M) into (pow M 2) 10.213 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 10.213 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 10.213 * [taylor]: Taking taylor expansion of 1/4 in n 10.213 * [backup-simplify]: Simplify 1/4 into 1/4 10.213 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 10.213 * [taylor]: Taking taylor expansion of (pow n 2) in n 10.213 * [taylor]: Taking taylor expansion of n in n 10.213 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify 1 into 1 10.213 * [backup-simplify]: Simplify (* 1 1) into 1 10.213 * [backup-simplify]: Simplify (/ 1 1) into 1 10.213 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 10.213 * [taylor]: Taking taylor expansion of (* M n) in n 10.213 * [taylor]: Taking taylor expansion of M in n 10.213 * [backup-simplify]: Simplify M into M 10.213 * [taylor]: Taking taylor expansion of n in n 10.213 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify 1 into 1 10.213 * [backup-simplify]: Simplify (* M 0) into 0 10.214 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 10.214 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 10.214 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 10.214 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 10.215 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 10.215 * [taylor]: Taking taylor expansion of 1/4 in M 10.215 * [backup-simplify]: Simplify 1/4 into 1/4 10.215 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.215 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 10.215 * [taylor]: Taking taylor expansion of 1/2 in M 10.215 * [backup-simplify]: Simplify 1/2 into 1/2 10.215 * [taylor]: Taking taylor expansion of 1/4 in M 10.215 * [backup-simplify]: Simplify 1/4 into 1/4 10.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 10.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 10.218 * [backup-simplify]: Simplify (+ 0 0) into 0 10.218 * [backup-simplify]: Simplify (- 0) into 0 10.218 * [backup-simplify]: Simplify (+ 0 0) into 0 10.219 * [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 10.219 * [taylor]: Taking taylor expansion of 0 in n 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.221 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 10.221 * [backup-simplify]: Simplify (+ 0 0) into 0 10.221 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 10.221 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 10.221 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 10.221 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.221 * [taylor]: Taking taylor expansion of M in M 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify 1 into 1 10.222 * [backup-simplify]: Simplify (/ 1 1) into 1 10.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.223 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 10.223 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 10.223 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 10.223 * [taylor]: Taking taylor expansion of (/ 1 M) in M 10.223 * [taylor]: Taking taylor expansion of M in M 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify 1 into 1 10.224 * [backup-simplify]: Simplify (/ 1 1) into 1 10.224 * [taylor]: Taking taylor expansion of 0 in M 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 10.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 10.231 * [backup-simplify]: Simplify (+ 0 0) into 0 10.231 * [backup-simplify]: Simplify (- 0) into 0 10.231 * [backup-simplify]: Simplify (+ 0 0) into 0 10.232 * [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 10.232 * [taylor]: Taking taylor expansion of 0 in n 10.232 * [backup-simplify]: Simplify 0 into 0 10.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 10.234 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 10.234 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 10.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 10.234 * [backup-simplify]: Simplify (- 0) into 0 10.235 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 10.235 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 10.235 * [taylor]: Taking taylor expansion of (pow M 2) in M 10.235 * [taylor]: Taking taylor expansion of M in M 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 1 into 1 10.235 * [backup-simplify]: Simplify (* 1 1) into 1 10.235 * [backup-simplify]: Simplify (/ 1 1) into 1 10.235 * [backup-simplify]: Simplify 1 into 1 10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 10.237 * [backup-simplify]: Simplify (- 0) into 0 10.237 * [backup-simplify]: Simplify (+ 0 0) into 0 10.237 * [taylor]: Taking taylor expansion of 0 in M 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [taylor]: Taking taylor expansion of 0 in M 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify (- 1) into -1 10.237 * [backup-simplify]: Simplify -1 into -1 10.237 * [backup-simplify]: Simplify (- 1) into -1 10.237 * [backup-simplify]: Simplify -1 into -1 10.238 * [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))) 10.238 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) 10.238 * [backup-simplify]: Simplify (* (+ m n) K) into (* K (+ m n)) 10.238 * [approximate]: Taking taylor expansion of (* K (+ m n)) in (m n K) around 0 10.238 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 10.238 * [taylor]: Taking taylor expansion of K in K 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [taylor]: Taking taylor expansion of (+ m n) in K 10.238 * [taylor]: Taking taylor expansion of m in K 10.238 * [backup-simplify]: Simplify m into m 10.238 * [taylor]: Taking taylor expansion of n in K 10.238 * [backup-simplify]: Simplify n into n 10.238 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 10.238 * [taylor]: Taking taylor expansion of K in n 10.238 * [backup-simplify]: Simplify K into K 10.238 * [taylor]: Taking taylor expansion of (+ m n) in n 10.238 * [taylor]: Taking taylor expansion of m in n 10.238 * [backup-simplify]: Simplify m into m 10.238 * [taylor]: Taking taylor expansion of n in n 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 10.238 * [taylor]: Taking taylor expansion of K in m 10.238 * [backup-simplify]: Simplify K into K 10.238 * [taylor]: Taking taylor expansion of (+ m n) in m 10.238 * [taylor]: Taking taylor expansion of m in m 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.239 * [taylor]: Taking taylor expansion of n in m 10.239 * [backup-simplify]: Simplify n into n 10.239 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 10.239 * [taylor]: Taking taylor expansion of K in m 10.239 * [backup-simplify]: Simplify K into K 10.239 * [taylor]: Taking taylor expansion of (+ m n) in m 10.239 * [taylor]: Taking taylor expansion of m in m 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.239 * [taylor]: Taking taylor expansion of n in m 10.239 * [backup-simplify]: Simplify n into n 10.239 * [backup-simplify]: Simplify (+ 0 n) into n 10.239 * [backup-simplify]: Simplify (* K n) into (* K n) 10.239 * [taylor]: Taking taylor expansion of (* K n) in n 10.239 * [taylor]: Taking taylor expansion of K in n 10.239 * [backup-simplify]: Simplify K into K 10.239 * [taylor]: Taking taylor expansion of n in n 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.239 * [backup-simplify]: Simplify (* K 0) into 0 10.239 * [taylor]: Taking taylor expansion of 0 in K 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify (+ 1 0) into 1 10.239 * [backup-simplify]: Simplify (+ (* K 1) (* 0 n)) into K 10.239 * [taylor]: Taking taylor expansion of K in n 10.239 * [backup-simplify]: Simplify K into K 10.239 * [taylor]: Taking taylor expansion of K in K 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.239 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.240 * [taylor]: Taking taylor expansion of K in K 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 1 into 1 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify (+ 0 0) into 0 10.240 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 n))) into 0 10.240 * [taylor]: Taking taylor expansion of 0 in n 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [taylor]: Taking taylor expansion of 0 in K 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [taylor]: Taking taylor expansion of 0 in K 10.240 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) 10.241 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 10.241 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 10.241 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 10.241 * [taylor]: Taking taylor expansion of (/ 1 m) in K 10.241 * [taylor]: Taking taylor expansion of m in K 10.241 * [backup-simplify]: Simplify m into m 10.241 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.241 * [taylor]: Taking taylor expansion of (/ 1 n) in K 10.241 * [taylor]: Taking taylor expansion of n in K 10.241 * [backup-simplify]: Simplify n into n 10.241 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.241 * [taylor]: Taking taylor expansion of K in K 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 1 into 1 10.241 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 10.241 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 10.241 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 10.241 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 10.241 * [taylor]: Taking taylor expansion of (/ 1 m) in n 10.241 * [taylor]: Taking taylor expansion of m in n 10.241 * [backup-simplify]: Simplify m into m 10.241 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.241 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.241 * [taylor]: Taking taylor expansion of n in n 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 1 into 1 10.241 * [backup-simplify]: Simplify (/ 1 1) into 1 10.241 * [taylor]: Taking taylor expansion of K in n 10.241 * [backup-simplify]: Simplify K into K 10.242 * [backup-simplify]: Simplify (+ 0 1) into 1 10.242 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.242 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.242 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.242 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.242 * [taylor]: Taking taylor expansion of m in m 10.242 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify 1 into 1 10.242 * [backup-simplify]: Simplify (/ 1 1) into 1 10.242 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.242 * [taylor]: Taking taylor expansion of n in m 10.242 * [backup-simplify]: Simplify n into n 10.242 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.242 * [taylor]: Taking taylor expansion of K in m 10.242 * [backup-simplify]: Simplify K into K 10.243 * [backup-simplify]: Simplify (+ 1 0) into 1 10.243 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.243 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.243 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.243 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.243 * [taylor]: Taking taylor expansion of m in m 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 1 into 1 10.243 * [backup-simplify]: Simplify (/ 1 1) into 1 10.243 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.243 * [taylor]: Taking taylor expansion of n in m 10.243 * [backup-simplify]: Simplify n into n 10.243 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.243 * [taylor]: Taking taylor expansion of K in m 10.243 * [backup-simplify]: Simplify K into K 10.243 * [backup-simplify]: Simplify (+ 1 0) into 1 10.243 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.243 * [taylor]: Taking taylor expansion of (/ 1 K) in n 10.243 * [taylor]: Taking taylor expansion of K in n 10.243 * [backup-simplify]: Simplify K into K 10.243 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.244 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.244 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 10.244 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.244 * [taylor]: Taking taylor expansion of (* K n) in n 10.244 * [taylor]: Taking taylor expansion of K in n 10.244 * [backup-simplify]: Simplify K into K 10.244 * [taylor]: Taking taylor expansion of n in n 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.244 * [backup-simplify]: Simplify (* K 0) into 0 10.244 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.245 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.245 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.245 * [taylor]: Taking taylor expansion of K in K 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [backup-simplify]: Simplify (/ 1 1) into 1 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.245 * [taylor]: Taking taylor expansion of K in K 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [backup-simplify]: Simplify (/ 1 1) into 1 10.245 * [backup-simplify]: Simplify 1 into 1 10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.246 * [backup-simplify]: Simplify (+ 0 0) into 0 10.246 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 10.246 * [taylor]: Taking taylor expansion of 0 in n 10.246 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.247 * [taylor]: Taking taylor expansion of 0 in K 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.247 * [taylor]: Taking taylor expansion of 0 in K 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.247 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.249 * [backup-simplify]: Simplify (+ 0 0) into 0 10.249 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.249 * [taylor]: Taking taylor expansion of 0 in n 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [taylor]: Taking taylor expansion of 0 in K 10.249 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.250 * [taylor]: Taking taylor expansion of 0 in K 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.250 * [taylor]: Taking taylor expansion of 0 in K 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) 10.251 * [backup-simplify]: Simplify (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) into (/ (+ (/ 1 m) (/ 1 n)) K) 10.251 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in (m n K) around 0 10.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 10.251 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 10.251 * [taylor]: Taking taylor expansion of (/ 1 m) in K 10.251 * [taylor]: Taking taylor expansion of m in K 10.251 * [backup-simplify]: Simplify m into m 10.251 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.251 * [taylor]: Taking taylor expansion of (/ 1 n) in K 10.251 * [taylor]: Taking taylor expansion of n in K 10.251 * [backup-simplify]: Simplify n into n 10.251 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.251 * [taylor]: Taking taylor expansion of K in K 10.251 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify 1 into 1 10.252 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 10.252 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 10.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 10.252 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 10.252 * [taylor]: Taking taylor expansion of (/ 1 m) in n 10.252 * [taylor]: Taking taylor expansion of m in n 10.252 * [backup-simplify]: Simplify m into m 10.252 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 10.252 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.252 * [taylor]: Taking taylor expansion of n in n 10.252 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify 1 into 1 10.252 * [backup-simplify]: Simplify (/ 1 1) into 1 10.252 * [taylor]: Taking taylor expansion of K in n 10.252 * [backup-simplify]: Simplify K into K 10.252 * [backup-simplify]: Simplify (+ 0 1) into 1 10.252 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.252 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.252 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.252 * [taylor]: Taking taylor expansion of m in m 10.252 * [backup-simplify]: Simplify 0 into 0 10.252 * [backup-simplify]: Simplify 1 into 1 10.253 * [backup-simplify]: Simplify (/ 1 1) into 1 10.253 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.253 * [taylor]: Taking taylor expansion of n in m 10.253 * [backup-simplify]: Simplify n into n 10.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.253 * [taylor]: Taking taylor expansion of K in m 10.253 * [backup-simplify]: Simplify K into K 10.253 * [backup-simplify]: Simplify (+ 1 0) into 1 10.253 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 10.253 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 10.253 * [taylor]: Taking taylor expansion of (/ 1 m) in m 10.253 * [taylor]: Taking taylor expansion of m in m 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 1 into 1 10.253 * [backup-simplify]: Simplify (/ 1 1) into 1 10.254 * [taylor]: Taking taylor expansion of (/ 1 n) in m 10.254 * [taylor]: Taking taylor expansion of n in m 10.254 * [backup-simplify]: Simplify n into n 10.254 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.254 * [taylor]: Taking taylor expansion of K in m 10.254 * [backup-simplify]: Simplify K into K 10.254 * [backup-simplify]: Simplify (+ 1 0) into 1 10.254 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.254 * [taylor]: Taking taylor expansion of (/ 1 K) in n 10.254 * [taylor]: Taking taylor expansion of K in n 10.254 * [backup-simplify]: Simplify K into K 10.254 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.255 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 10.255 * [backup-simplify]: Simplify (- (/ (/ 1 n) K) (+ (* (/ 1 K) (/ 0 K)))) into (/ 1 (* K n)) 10.255 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 10.255 * [taylor]: Taking taylor expansion of (* K n) in n 10.255 * [taylor]: Taking taylor expansion of K in n 10.255 * [backup-simplify]: Simplify K into K 10.255 * [taylor]: Taking taylor expansion of n in n 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (* K 0) into 0 10.255 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 10.255 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 10.255 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.255 * [taylor]: Taking taylor expansion of K in K 10.255 * [backup-simplify]: Simplify 0 into 0 10.255 * [backup-simplify]: Simplify 1 into 1 10.255 * [backup-simplify]: Simplify (/ 1 1) into 1 10.256 * [backup-simplify]: Simplify 1 into 1 10.256 * [taylor]: Taking taylor expansion of (/ 1 K) in K 10.256 * [taylor]: Taking taylor expansion of K in K 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify 1 into 1 10.256 * [backup-simplify]: Simplify (/ 1 1) into 1 10.256 * [backup-simplify]: Simplify 1 into 1 10.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 10.257 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)))) into 0 10.257 * [taylor]: Taking taylor expansion of 0 in n 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 10.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.257 * [taylor]: Taking taylor expansion of 0 in K 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 10.258 * [taylor]: Taking taylor expansion of 0 in K 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 10.259 * [backup-simplify]: Simplify (+ 0 0) into 0 10.260 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1 K) (/ 0 K)) (* (/ 1 (* K n)) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.260 * [taylor]: Taking taylor expansion of 0 in n 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [taylor]: Taking taylor expansion of 0 in K 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.260 * [taylor]: Taking taylor expansion of 0 in K 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 10.260 * [taylor]: Taking taylor expansion of 0 in K 10.260 * [backup-simplify]: Simplify 0 into 0 10.260 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) 10.262 * * * [progress]: simplifying candidates 10.262 * * * * [progress]: [ 1 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 1) 2) M))))> 10.262 * * * * [progress]: [ 2 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.262 * * * * [progress]: [ 3 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.262 * * * * [progress]: [ 4 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.262 * * * * [progress]: [ 5 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) (posit16->real (real->posit16 (* (+ m n) K)))) (posit16->real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.262 * * * * [progress]: [ 6 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K)))) (sqrt (posit16->real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.262 * * * * [progress]: [ 7 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K)))) 2) M))))> 10.262 * * * * [progress]: [ 8 / 103 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.262 * * * * [progress]: [ 9 / 103 ] simplifiying candidate # 10.262 * * * * [progress]: [ 10 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M))))))> 10.262 * * * * [progress]: [ 11 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M))))))> 10.262 * * * * [progress]: [ 12 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2)) (cos M)) (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin M)))))> 10.263 * * * * [progress]: [ 13 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) 1)))> 10.263 * * * * [progress]: [ 14 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))))> 10.263 * * * * [progress]: [ 15 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))))> 10.263 * * * * [progress]: [ 16 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> 10.263 * * * * [progress]: [ 17 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> 10.263 * * * * [progress]: [ 18 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))) (sqrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> 10.263 * * * * [progress]: [ 19 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M)))))> 10.263 * * * * [progress]: [ 20 / 103 ] simplifiying candidate #real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> 10.263 * * * * [progress]: [ 21 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 22 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 23 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 24 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 25 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 26 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 27 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 28 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 29 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 30 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 31 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 32 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 33 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.263 * * * * [progress]: [ 34 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 35 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 36 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 37 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 38 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 39 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 40 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 41 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 42 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 43 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 44 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 45 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 46 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 47 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 48 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 49 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 50 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 51 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 52 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 53 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 54 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 55 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.264 * * * * [progress]: [ 56 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 57 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 58 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 59 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 60 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 61 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 62 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 63 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 64 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 65 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 66 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 67 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 68 / 103 ] simplifiying candidate #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 69 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.265 * * * * [progress]: [ 70 / 103 ] simplifiying candidate #real (real->posit16 (pow (* (+ m n) K) 1))) 2) M))))> 10.265 * * * * [progress]: [ 71 / 103 ] simplifiying candidate #real (real->posit16 (pow (* (+ m n) K) 1))) 2) M))))> 10.265 * * * * [progress]: [ 72 / 103 ] simplifiying candidate #real (real->posit16 (exp (+ (log (+ m n)) (log K))))) 2) M))))> 10.265 * * * * [progress]: [ 73 / 103 ] simplifiying candidate #real (real->posit16 (exp (log (* (+ m n) K))))) 2) M))))> 10.265 * * * * [progress]: [ 74 / 103 ] simplifiying candidate #real (real->posit16 (log (exp (* (+ m n) K))))) 2) M))))> 10.265 * * * * [progress]: [ 75 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (+ m n) (+ m n)) (+ m n)) (* (* K K) K))))) 2) M))))> 10.265 * * * * [progress]: [ 76 / 103 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (* (+ m n) K)) (cbrt (* (+ m n) K))) (cbrt (* (+ m n) K))))) 2) M))))> 10.265 * * * * [progress]: [ 77 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (+ m n) K) (* (+ m n) K)) (* (+ m n) K))))) 2) M))))> 10.266 * * * * [progress]: [ 78 / 103 ] simplifiying candidate #real (real->posit16 (* (sqrt (* (+ m n) K)) (sqrt (* (+ m n) K))))) 2) M))))> 10.266 * * * * [progress]: [ 79 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (* (+ m n) K)))) 2) M))))> 10.266 * * * * [progress]: [ 80 / 103 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (+ m n)) (sqrt K)) (* (sqrt (+ m n)) (sqrt K))))) 2) M))))> 10.266 * * * * [progress]: [ 81 / 103 ] simplifiying candidate #real (real->posit16 (* (* (+ m n) (* (cbrt K) (cbrt K))) (cbrt K)))) 2) M))))> 10.266 * * * * [progress]: [ 82 / 103 ] simplifiying candidate #real (real->posit16 (* (* (+ m n) (sqrt K)) (sqrt K)))) 2) M))))> 10.266 * * * * [progress]: [ 83 / 103 ] simplifiying candidate #real (real->posit16 (* (* (+ m n) 1) K))) 2) M))))> 10.266 * * * * [progress]: [ 84 / 103 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (+ m n)) (cbrt (+ m n))) (* (cbrt (+ m n)) K)))) 2) M))))> 10.266 * * * * [progress]: [ 85 / 103 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ m n)) (* (sqrt (+ m n)) K)))) 2) M))))> 10.266 * * * * [progress]: [ 86 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (* (+ m n) K)))) 2) M))))> 10.266 * * * * [progress]: [ 87 / 103 ] simplifiying candidate #real (real->posit16 (* 1 (* (+ m n) K)))) 2) M))))> 10.266 * * * * [progress]: [ 88 / 103 ] simplifiying candidate #real (real->posit16 (/ (* (+ (pow m 3) (pow n 3)) K) (+ (* m m) (- (* n n) (* m n)))))) 2) M))))> 10.266 * * * * [progress]: [ 89 / 103 ] simplifiying candidate #real (real->posit16 (/ (* (- (* m m) (* n n)) K) (- m n)))) 2) M))))> 10.266 * * * * [progress]: [ 90 / 103 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (* (+ m n) K))))) 2) M))))> 10.266 * * * * [progress]: [ 91 / 103 ] simplifiying candidate #real (real->posit16 (* K (+ m n)))) 2) M))))> 10.266 * * * * [progress]: [ 92 / 103 ] simplifiying candidate # 10.266 * * * * [progress]: [ 93 / 103 ] simplifiying candidate # 10.266 * * * * [progress]: [ 94 / 103 ] simplifiying candidate # 10.266 * * * * [progress]: [ 95 / 103 ] simplifiying candidate # 10.266 * * * * [progress]: [ 96 / 103 ] simplifiying candidate # 10.266 * * * * [progress]: [ 97 / 103 ] simplifiying candidate # 10.266 * * * * [progress]: [ 98 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.266 * * * * [progress]: [ 99 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.266 * * * * [progress]: [ 100 / 103 ] simplifiying candidate #real (real->posit16 (* (+ m n) K))) 2) M))))> 10.266 * * * * [progress]: [ 101 / 103 ] simplifiying candidate #real (real->posit16 0)) 2) M))))> 10.266 * * * * [progress]: [ 102 / 103 ] simplifiying candidate #real (real->posit16 (+ (* K n) (* K m)))) 2) M))))> 10.266 * * * * [progress]: [ 103 / 103 ] simplifiying candidate #real (real->posit16 (+ (* K n) (* K m)))) 2) M))))> 10.267 * [simplify]: Simplifying (log (posit16->real (real->posit16 (* (+ m n) K)))), (exp (posit16->real (real->posit16 (* (+ m n) K)))), (* (cbrt (posit16->real (real->posit16 (* (+ m n) K)))) (cbrt (posit16->real (real->posit16 (* (+ m n) K))))), (cbrt (posit16->real (real->posit16 (* (+ m n) K)))), (* (* (posit16->real (real->posit16 (* (+ m n) K))) (posit16->real (real->posit16 (* (+ m n) K)))) (posit16->real (real->posit16 (* (+ m n) K)))), (sqrt (posit16->real (real->posit16 (* (+ m n) K)))), (sqrt (posit16->real (real->posit16 (* (+ m n) K)))), (real->posit16 (posit16->real (real->posit16 (* (+ m n) K)))), (* (cos (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))), (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M))), (* (cos (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (cos (- M))), (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin (- M))), (* (cos (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (cos M)), (* (sin (/ (posit16->real (real->posit16 (* (+ m n) K))) 2)) (sin M)), (log (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (exp (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (* (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)))), (cbrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (* (* (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M)) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))) (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (sqrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (sqrt (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))), (+ 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))), (* (+ 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)), 0, (+ (* K n) (* K m)), (+ (* K n) (* K m)), 1, (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)), (+ (* 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))), 0, (+ (* K n) (* K m)), (+ (* K n) (* K m)) 10.269 * * [simplify]: iteration 1: (170 enodes) 10.675 * * [simplify]: iteration 2: (715 enodes) 10.908 * * [simplify]: iteration 3: (1778 enodes) 11.670 * * [simplify]: Extracting #0: cost 63 inf + 0 11.671 * * [simplify]: Extracting #1: cost 481 inf + 3 11.676 * * [simplify]: Extracting #2: cost 1188 inf + 2907 11.700 * * [simplify]: Extracting #3: cost 1059 inf + 63337 11.763 * * [simplify]: Extracting #4: cost 285 inf + 254473 11.860 * * [simplify]: Extracting #5: cost 22 inf + 332006 11.979 * * [simplify]: Extracting #6: cost 0 inf + 337035 12.104 * [simplify]: Simplified to (log (* (+ n m) K)), (exp (* (+ n m) K)), (* (cbrt (* (+ n m) K)) (cbrt (* (+ n m) K))), (cbrt (* (+ n m) K)), (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)), (sqrt (* (+ n m) K)), (sqrt (* (+ n m) K)), (real->posit16 (* (+ n m) K)), (* (cos M) (cos (/ (* (+ n m) K) 2))), (* (- (sin M)) (sin (/ (* (+ n m) K) 2))), (* (cos M) (cos (/ (* (+ n m) K) 2))), (* (- (sin M)) (sin (/ (* (+ n m) K) 2))), (* (cos M) (cos (/ (* (+ n m) K) 2))), (* (sin M) (sin (/ (* (+ n m) K) 2))), (log (cos (- (/ (* (+ n m) K) 2) M))), (exp (cos (- (/ (* (+ n m) K) 2) M))), (* (cbrt (cos (- (/ (* (+ n m) K) 2) M))) (cbrt (cos (- (/ (* (+ n m) K) 2) M)))), (cbrt (cos (- (/ (* (+ n m) K) 2) M))), (* (cos (- (/ (* (+ n m) K) 2) M)) (* (cos (- (/ (* (+ n m) K) 2) M)) (cos (- (/ (* (+ n m) K) 2) M)))), (sqrt (cos (- (/ (* (+ n m) K) 2) M))), (sqrt (cos (- (/ (* (+ n m) K) 2) M))), (real->posit16 (cos (- (/ (* (+ n m) K) 2) M))), 2, (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)), 2, (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (log (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (exp (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))), (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))), (fabs (- (/ (+ n m) 2) M)), (fabs (- (/ (+ n m) 2) M)), (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M))), (* (+ (* M M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2)))) (+ (* M M) (* (/ (+ 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 M) (* (/ (+ 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 M) (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))))), (* (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2))) (* (- (/ (+ n m) 2) M) (+ M (/ (+ n m) 2)))), (* (+ M (/ (+ n m) 2)) (+ M (/ (+ 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 (+ 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), (* (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)), (* (+ 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))), (* (+ n m) K), (log (* (+ n m) K)), (log (* (+ n m) K)), (exp (* (+ n m) K)), (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)), (* (cbrt (* (+ n m) K)) (cbrt (* (+ n m) K))), (cbrt (* (+ n m) K)), (* (* (* (+ n m) K) (* (+ n m) K)) (* (+ n m) K)), (sqrt (* (+ n m) K)), (sqrt (* (+ n m) K)), (* (sqrt K) (sqrt (+ n m))), (* (sqrt K) (sqrt (+ n m))), (* (* (cbrt K) (cbrt K)) (+ n m)), (* (+ n m) (sqrt K)), (+ n m), (* K (cbrt (+ n m))), (* K (sqrt (+ n m))), (* (+ n m) K), (* (+ n m) K), (* (+ (* (* m m) m) (* (* n n) n)) K), (* (* (+ n m) K) (- m n)), (real->posit16 (* (+ n m) K)), 0, (* (+ n m) K), (* (+ n m) K), 1, (cos (- (* (/ (+ n m) 2) K) M)), (cos (- (* (/ (+ n m) 2) K) M)), (+ (* m (+ (* m 1/4) (* n 1/2))) (* (* 1/4 n) n)), (* M (- M (+ n m))), (* M (- M (+ n m))), 0, (* (+ n m) K), (* (+ n m) K) 12.126 * * * [progress]: adding candidates to table 15.009 * [progress]: [Phase 3 of 3] Extracting. 15.009 * * [regime]: Finding splitpoints for: (#real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))>) 15.011 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 15.011 * * * * [regimes]: Trying to branch on l from (#real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))>) 15.122 * * * * [regimes]: Trying to branch on M from (#real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))>) 15.244 * * * * [regimes]: Trying to branch on n from (#real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))>) 15.339 * * * * [regimes]: Trying to branch on m from (#real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))>) 15.452 * * * * [regimes]: Trying to branch on K from (#real (real->posit16 (cos (- (/ (posit16->real (real->posit16 (* (+ m n) K))) 2) M))))))> #real (real->posit16 (- (/ (* (+ m n) K) 2) M))))))> # #real (real->posit16 (cos (- (/ (* (+ m n) K) 2) M))))))> #real (real->posit16 (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) 1))>) 15.561 * * * [regime]: Found split indices: #